I need help can someone help me

I Need Help Can Someone Help Me

Answers

Answer 1

The two figures are congruent because a reflection and a translation are used to map Figure 1 onto Figure 2.

The angle corresponding to angle M is given as follows: <S.

What are transformations on the graph of a function?

Examples of transformations are given as follows:

Translation: Lateral or vertical movements.Reflections: A reflection is either over one of the axis on the graph or over a line.Rotations: A rotation is over a degree measure, either clockwise or counterclockwise.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.

For this problem, the two transformations are:

Reflection, as the orientation changed.Translation, as the position changed.

These two are rigid motions, keeping the side lengths constant, hence the figures are congruent.

Angle S is corresponding to angle M, as they are the angles at the "pointed" vertex of the figure.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1


Related Questions

Name the quadrant in which angle 0 must lie for the following to be true.

Answers

Answer:

d

Step-by-step explanation:

An apartment building has 9 apartments that are being rented. The data shows the monthly rent for each apartment.

$1,710 $1,515 $1,410 $1,435 $1,555 $1,595 $1,690 $1,575 $1,640

Create a stem display for this data.

Answers

The stem display for the data, given the monthly rent and the apartment building is:

$14 | 10 15 35

$15 | 15 55 75 95

$16 | 40 90

How to make the stem display ?

To create a stem display, we first divide the data into groups of tens. The first group is $ 1400  -$ 1499, the second group is  $ 1500 - $1599 , and so on. Next, we write the units digit of each number in the appropriate group.

For example, the number 1,710 is in the $ 1500 - $ 1599 group, so we write a 1 in the 15 column. Finally, we count the number of numbers in each group. There are three numbers in the $ 1400 - $ 1499 group, two numbers in the $ 1500 - $ 1599 group, and three numbers in the $ 1600 - $ 1699 group.

Find out more on stem displays at https://brainly.com/question/31663204

#SPJ1

The Question is in the Picture, use the Pythagorean theorem to solve and show your work please

Answers

Answer:

y=8

Step-by-step explanation:

i need help can someone help me

Answers

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

What is trigonometric ratios?

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

Read more about trigonometric ratios here: https://brainly.com/question/3457795

#SPJ1

You are willing to pay $5 a pound for dog food. Your local pet store sells dog food at $4 a pound. What is the consumer surplus?

Answers

The consumer surplus for the price of the dog food is given as follows:

$1.

How to calculate the consumer surplus?

The consumer surplus is defined as the difference between the amount a consumer is willing to pay for a product and the actual price they pay.

The parameters in the context of this problem are given as follows:

The consumer is willing to pay $5 for the pound of dog food.The local pet store sells the pound of dog food for $4.

Hence the consumer surplus for the price of the dog food is given as follows:

5 - 4 = $1.

More can be learned about consumer surplus at https://brainly.com/question/30397556

#SPJ1

Calculate the bearing of Y from X

Answers

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Find the area of this triangle

Answers

The calculated area of the triangle is 38.30 square units

How to find the area of the triangle

From the question, we have the following parameters that can be used in our computation:

The triangle

The area of the triangle is calculated as

Area = 1/2absin(c)

Where

a = b = 10

c = 50 degrees

Using the above as a guide, we have the following:

Area = 1/2 * 10 * 10 * sin(50 degrees)

Evaluate

Area = 38.30

Hence, the area of the triangle is 38.30 square units

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Solve for X
20x+30
28x-10

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

Statement:Corresponding angles are equal.Solution:

20x + 30 = 28x - 10 (Corresponding angles)

Add 10 to both sides

20x + 30 + 10 = 28x

20x + 40 = 28x

Subtract 20x from both sides

40 = 28x - 20x

40 = 8x

Divide both sides by 8

5 = x

OR

x = 5

[tex]\rule[225]{225}{2}[/tex]

A spherical boulder is 28 feet in diameter and weighs almost 8 tons. Find the volume Use 3.14 for pi

Answers

Answer:

V = (4/3) × 3.14 × 14³ = 11,310.08 cubic feet

Answer:  11,488.2133 cubic feet approximately

Work Shown:

d = diameter = 28

r = radius = d/2 = 28/2 = 14

V = volume of a sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(14)^3

V = 11,488.2133 cubic feet approximately

The info "weighs almost 8 tons" is never used. It is likely an intended distraction. All we need is the radius of the sphere to get its volume.

A rock is thrown from the top of a building. The height s (in feet) as a function of time (in seconds) can be modeled by the function
s(t) = -16t² + 3000
Approximately when will the rock be 1,976 feet above the ground.
O a
Ob
C
8 sec
135 sec
85 sec
15 sec

Answers

Answer:  the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds

Step-by-step explanation:

We can start by setting the height function equal to 1,976 and solving for t:

-16t² + 3000 = 1976

Subtracting 1976 from both sides, we get:

-16t² + 1024 = 0

Dividing both sides by -16, we get:

t² - 64 = 0

Factoring, we get:

(t + 8)(t - 8) = 0

So t = 8 or t = -8. We can ignore the negative solution since time cannot be negative.

Therefore, the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds.

Answer: (A) 8 sec

please help! show your work or explain to get full credit. (see picture)

Answers

1)

The measure of angle A is 45° .

Given,

a= 60

b = 60√2

c = 60

Now the given sides with the dimension is of right angled triangle.

So,

Angle B = 90°

Angle A = 45°

Angle C = 45°

2)

All the six trigonometric functions:

SinФ = 60/60√2

cosФ = 60/60√2

tanФ = 60/60

cosecФ = 60√2/60

secФ = 60√2 /60

cotФ = 60/60

3)

Area of triangle = 1/2 × b× h

Area of triangle = 1/2 *60*60

Area of triangle = 1800 in²

Know more about right angled triangle,

https://brainly.com/question/17030901

#SPJ1

Define the term inflation ​

Answers

Answer: Inflation is the rise in general level of prices which is determined by the Consumer Price Index (CPI).

Inflation is an economic term that refers to a sustained increase in the general price level of goods and services in an economy over time. When the inflation rate rises, each unit of currency buys fewer goods and services than before. In other words, inflation decreases the purchasing power of money. Inflation can be caused by a number of factors, including an increase in the supply of money in the economy, an increase in demand for goods and services, or a decrease in the supply of goods and services. A moderate level of inflation is generally considered desirable by many economists as it encourages spending and investment, but too much inflation can lead to economic instability and uncertainty.

The PTO is selling raffle tickets to raise money for classroom supplies. There is 1 winning ticket out of the 150 tickets sold. The winner gets a prize worth $200.

Round your answers to the nearest cent.

Make a probability distribution table and find the expected winnings of one raffle ticket. $?


If a raffle ticket costs $4, what is the expected profit or loss of one raffle ticket? (Enter a negative number for a loss) $?

Answers

Answer:

Expected winnings = $1.33

Expected profit or loss = -$2.67

Step-by-step explanation:

Winning Probability Prize Value

Yes   1/150         $200

No         149/150         $0

Expected winnings of one raffle ticket:

Expected winnings = (Probability of winning x Prize value) + (Probability of losing x Prize value)

Expected winnings = (1/150 x $200) + (149/150 x $0)

Expected winnings = $1.33

If a raffle ticket costs $4, the expected profit or loss of one raffle ticket can be calculated as:

Expected profit or loss = Expected winnings - Cost of ticket

Expected profit or loss = $1.33 - $4

Expected profit or loss = -$2.67

An airplane is cruising at a rate of 550 miles per hour. Write an equation that shows the relationship between the number of hours of cruising, x, and the number of miles traveled, y.

Answers

Answer: y = 550x

Step-by-step explanation:

An isosceles right triangle has a third side measurement of 25 inches and a perimeter of 85 inches. The leg of the dilated triangle measures 6 inches. What is the perimeter of the dilated triangle?

Answers

In an isosceles right triangle, the two legs are equal in length. Let's assume that the length of each leg of the original triangle is "x" inches. Since it's an isosceles right triangle, the hypotenuse is also "x" inches.

Given that the third side of the original triangle measures 25 inches, we can set up the following equation based on the perimeter:

x + x + 25 = 85

Simplifying the equation:

2x + 25 = 85

Subtracting 25 from both sides:

2x = 60

Dividing both sides by 2:

x = 30

So, the length of each leg of the original triangle is 30 inches.

Now, let's consider the dilated triangle. We are told that the leg of the dilated triangle measures 6 inches. Let's assume the scale factor of the dilation is "k."

The length of each leg of the dilated triangle can be found by multiplying the length of the corresponding leg of the original triangle by the scale factor:

Leg of dilated triangle = k * Leg of original triangle

Leg of dilated triangle = k * 30

Given that the leg of the dilated triangle measures 6 inches, we can set up the following equation:

k * 30 = 6

Dividing both sides by 30:

k = 6/30

Simplifying:

k = 1/5

So, the scale factor of the dilation is 1/5.

Now, to find the perimeter of the dilated triangle, we need to multiply the length of each side of the original triangle by the scale factor and sum them up:

Perimeter of dilated triangle = 2 * (k * 30) + k * 25

Plugging in the values:

Perimeter of dilated triangle = 2 * (1/5 * 30) + 1/5 * 25

Simplifying:

Perimeter of dilated triangle = 2 * 6 + 5

Perimeter of dilated triangle = 12 + 5

Perimeter of dilated triangle = 17 inches

Therefore, the perimeter of the dilated triangle is 17 inches.

p: 10 > 7 q: 10 > 5
p →q

F F → T
T F → F
F T → T
T T → T

Answers

Answer: if it's true that 10 > 7 (P), then it's also true that 10 > 5 (Q).

Step-by-step explanation: In the context of logic and truth tables, p → q can be read as "if p then q." You've provided the truth values for the combinations of p and q, which I'll summarize here:

If p and q are both False (F), then p → q is True (T).

If p is True (T) and q is False (F), then p → q is False (F).

If p is False (F) and q is True (T), then p → q is True (T).

If p and q are both True (T), then p → q is True (T).

Given your propositions:

P: 10 > 7

Q: 10 > 5

P is True because 10 is indeed greater than 7. Q is also True because 10 is greater than 5.

Therefore, we're in the fourth case of your truth table: both p and q are True, so p → q is also True.

Kendra's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 87 caffeinated teas and 13 decaffeinated teas. What percentage of the teas served were caffeinated?

Answers

Answer:

Kendra's Tea Shop served 87 caffeinated teas and 13 decaffeinated teas. This means that 87 out of 100 teas served were caffeinated. Therefore, 87% of the teas served were caffeinated.

need help with this please

Answers

The number that belongs in the green box is given as follows:

D.  2.

How to interpret the problem?

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are given as follows:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which the discriminant is given as follows:

[tex]\Delta = b^2 - 4ac[/tex]

The number that goes into the green box is then given as follows:

2a = 2(1) = 2.

Meaning that option D is the correct option in the context of this problem.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

Sketch the region enclosed by
y
=
5
x
and
y
=
8
x
2
. Find the area of the region.

Answers

Answer:

  125/384 ≈ 0.32552

Step-by-step explanation:

You want the area between the curves y = 5x and y = 8x².

Area

The difference between the curves is ...

  f(x) = 5x -8x² = x(5 -8x)

This difference is zero when ...

  x = 0

  5 -8x = 0   ⇒   x = 5/8

The area will be the integral of f(x) with the limits 0 and 5/8:

  [tex]\displaystyle \text{area}=\int_0^\frac{5}{8}{(5x-8x^2)}\,dx=\dfrac{5}{2}\cdot\left(\dfrac{5}{8}\right)^2-\dfrac{8}{3}\cdot\left(\dfrac{5}{8}\right)^3\\\\\\\text{area}=\left(\dfrac{5}{8}\right)^2\left(\dfrac{5}{2}-\dfrac{8}{3}\cdot\dfrac{5}{8}\right)=\dfrac{25}{64}\cdot\dfrac{5}{6}=\boxed{\dfrac{125}{384}}[/tex]

<95141404393>

What is the median of the numbers 10 6 2 2 8 5 3

Answers

The median is 5 for this question.

Answer:

Step-by-step explanation:

Median:  List numbers from smallest to largest.  Median is middle number

2       2        3         5        6          8           10

                               |

5 is in the middle

Median = 5

Find the value of c guaranteed by the Mean Value Theorem……

Answers

As per the given equation, the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - [tex]x^2[/tex]) over the interval [0, 3] is c = ± √(9/5).

To find the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - [tex]x^2[/tex]) over the interval [0, 3], we need to determine if the conditions of the Mean Value Theorem are satisfied and then find the value of c.

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one value c in the open interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

In our case, the function f(x) = √(9 - [tex]x^2[/tex]) is continuous on the closed interval [0, 3] since it is a square root function and the radicand is always non-negative within this interval.

The function is also differentiable on the open interval (0, 3) since it is the square root of a differentiable function.

To find the value of c, we first calculate f(3) and f(0):

f(3) = √(9 - [tex]3^2[/tex]) = √(9 - 9) = √0 = 0

f(0) = √(9 - [tex]0^2[/tex]) = √(9 - 0) = √9 = 3

Next, we calculate f'(c):

f'(x) = (-2x)/√(9 - x^2)

We want to find the value of c such that f'(c) = (f(3) - f(0))/(3 - 0). Let's substitute the values into the equation:

(-2c)/√(9 - [tex]c^2[/tex]) = (0 - 3)/(3 - 0)

(-2c)/√(9 - [tex]c^2[/tex]) = -1

To solve for c, we can cross-multiply:

-2c = -√(9 - [tex]c^2[/tex])

Squaring both sides:

4c^2 = 9 - [tex]c^2[/tex]

Simplifying:

5[tex]c^2[/tex] = 9

Dividing both sides by 5:

[tex]c^2[/tex] = 9/5

Taking the square root of both sides:

c = ± √(9/5)

Therefore, the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - [tex]x^2[/tex]) over the interval [0, 3] is c = ± √(9/5).

For more details regarding Mean Value Theorem, visit:

https://brainly.com/question/30403137

#SPJ1

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?


x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
A f(x), because it eventually exceeds g(x)
B g(x), because it eventually exceeds f(x)
C f(x), because it eventually intersects g(x)
D g(x), because it will not intersect f(x)

Answers

The function g(x) is increasing exponentially because it eventually exceeds f(x).

The table shows that as x increases, the values of g(x) increase at a much faster rate compared to the values of f(x).

In fact, the values of g(x) are growing exponentially, as each subsequent value is significantly larger than the previous one.

Therefore, the function g(x) is most likely increasing exponentially.

Thus, g(x) is increasing exponentially because it eventually exceeds f(x).

Learn more about exponential Function here:

https://brainly.com/question/29287497

#SPJ1

Write the word
sentence as an
inequality.
A number w plus 4.6
is more than 6.
An inequality is answer:

Answers

The inequality that represents the number sentence is given as follows:

w + 4.6 > 6.

What are the inequality symbols?

The four most common inequality symbols, and how to interpret them, are presented as follows:

> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. On the coordinate plane, these are the points above the dashed line y = x.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. On the coordinate plane, these are the points below the dashed line y = x.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. On the coordinate plane, these are the points above the continuous line y = x.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. On the coordinate plane, these are the points below the continuous line y = x.

A number w plus 4.6 is represented as follows:

w + 4.6.

The amount is more than 6, hence the inequality is given as follows:

w + 4.6 > 6.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

In the following probability distribution, the random variable
represents the number of activities a parent of a 6th-8th grade student is involved in.


Please round to 2 decimal places for a-c, 3 decimal places for the probability in part d.
X 0 1 2 3 4
P(X) 0.053 0.117 0.258 0.312 0.26
a) Compute and the mean,
, of the random variable
.
2.610
Correct

b) Compute the variance,
, of the random variable
.

c) Compute the standard deviation,
, of the random variable
.
1.14
Correct

d) What is the probability that a randomly selected student has a parent involved in 4 activities?

Answers

a) The mean of the random variable is 2.610 (rounded to 2 decimal places).

b) The variance of the random variable is 1.880 (rounded to 3 decimal places).

c) The standard deviation of the random variable is 1.372 (rounded to 3 decimal places).

d) The probability that a randomly selected student has a parent involved in 4 activities is 0.260 (rounded to 3 decimal places).

To compute the variance of the random variable, we need to calculate the squared deviation of each value from the mean, weighted by their respective probabilities, and then sum them up.

b) Variance [tex](\sigma^2)[/tex] of the random variable:

Variance is given by the formula[tex]Var(X) = \sum [(X - \mu)^2 \times P(X)],[/tex] where X represents the values of the random variable, μ is the mean, and P(X) is the probability.

Using the given data:

X: 0 1 2 3 4

P(X): 0.053 0.117 0.258 0.312 0.26

μ (mean): 2.610

Calculating the squared deviations for each value:

[tex](0 - 2.610)^2 \times 0.053 = 14.152[/tex]

[tex](1 - 2.610)^2 \times 0.117 = 0.291[/tex]

[tex](2 - 2.610)^2 \times 0.258 = 0.148[/tex]

[tex](3 - 2.610)^2 \times 0.312 = 0.122[/tex]

[tex](4 - 2.610)^2 \times 0.26 = 1.429[/tex]

Summing up the squared deviations:

Var(X) = 14.152 + 0.291 + 0.148 + 0.122 + 1.429 = 16.142

Therefore, the variance of the random variable is 16.142.

c) Standard deviation (σ) of the random variable:

The standard deviation is the square root of the variance.

Taking the square root of the variance calculated above:

Standard deviation (σ) = √(16.142) ≈ 4.020 (rounded to 3 decimal places)

d) Probability of a randomly selected student having a parent involved in 4 activities:

The probability of a specific value occurring in a discrete probability distribution is given by the corresponding probability value.

From the given data:

P(X = 4) = 0.26

Therefore, the probability that a randomly selected student has a parent involved in 4 activities is 0.26 (rounded to 3 decimal places).

For similar question on probability.

https://brainly.com/question/30846562

#SPJ11

Answer all of these pls
1. -3x+7=-8x+47
2. -13x+8=-8x-7
3. 6x+7=3x+19
4. 12x-8=10x+6
5. -7x-4=-10x-10
6. 7x-9=3x-5
7. 3x-9=5x-3
8. 7x-1=5x+5
9. -7x-2=-3x-14
10. -3x-7=-8x-57

Answers

Answer:

Sure, I'd be happy to help you solve these equations! Here are the solutions to the equations you provided:

1. -3x+7=-8x+47

  Add 8x to both sides: 5x + 7 = 47

  Subtract 7 from both sides: 5x = 40

  Divide both sides by 5: x = 8

2. -13x+8=-8x-7

  Add 13x to both sides: 5x + 8 = -7

  Subtract 8 from both sides: 5x = -15

  Divide both sides by 5: x = -3

3. 6x+7=3x+19

  Subtract 3x from both sides: 3x + 7 = 19

  Subtract 7 from both sides: 3x = 12

  Divide both sides by 3: x = 4

4. 12x-8=10x+6

  Subtract 10x from both sides: 2x - 8 = 6

  Add 8 to both sides: 2x = 14

  Divide both sides by 2: x = 7

5. -7x-4=-10x-10

  Add 10x to both sides: 3x - 4 = -10

  Add 4 to both sides: 3x = -6

  Divide both sides by 3: x = -2

6. 7x-9=3x-5

  Subtract 3x from both sides: 4x - 9 = -5

  Add 9 to both sides: 4x = 4

  Divide both sides by 4: x = 1

7. 3x-9=5x-3

  Subtract 3x from both sides: -6 = 2x - 3

  Add 3 to both sides: -3 = 2x

  Divide both sides by 2: x = -3/2 or -1.5

8. 7x-1=5x+5

  Subtract 5x from both sides: 2x - 1 = 5

  Add 1 to both sides: 2x = 6

  Divide both sides by 2: x = 3

9. -7x-2=-3x-14

  Add 3x to both sides: -4x - 2 = -14

  Add 2 to both sides: -4x = -12

  Divide both sides by -4: x = 3

10. -3x-7=-8x-57

   Add 8x to both sides: 5x - 7 = -57

   Add 7 to both sides: 5x = -50

   Divide both sides by 5: x = -10

I hope this helps! Let me know if you have any further questions.

Determine whether the function represents exponential growth or decay write the base in terms of the rate or decay identify r and interpret the rate of growth or decay y=12,500 (3/4)*

Answers

The rate of the decay of the given function is 75 percent.

The given function is y=12,500(3/4)ˣ

This function represents exponential decay with a base of (3/4). The rate of decay, "r", is equal to 3/4. This means that the value of the function decreases by a factor of 3/4 every time the independent variable increases by 1. Thus, the rate of decay is 3/4 or 75%.

Therefore, the rate of the decay of the given function is 75 percent.

Learn more about the exponential decay here:

https://brainly.com/question/13674608.

#SPJ1

The following table gives the number of women age 16 years and older (in
millions) in a country's civilian workforce for selected years from 1950 and
projected to 2050.
Complete parts (a) and (b) below.
CTTS
X+
Women in the
Year Workforce (millions)
1950
1960
1970
1980
1990
2000
18.2
21.3
31.7
45.5
554
65.5
a. Use x as the number of years past January 1st, 1950 to create a cubic model, y, using these data.
y=x²+x+x+
4
(Type integers or decimals rounded to five decimal places.)
Clear all
Women in the
Year Workforce (millions)
2010
2015
2020
2030
2040
2050
75.3
78.1
78.5
80.5
86.6
91.5
Check answer

Answers

The cubic model that fits the given data is: y ≈ 0.00006204x³ + 0.00231059x² - 0.10811757x + 18.2

How to calculate the value

Let's set up a system of equations using the given data points:

For x = 0 (year 1950):

18.2 = a(0)³ + b(0)² + c(0) + d ==> d = 18.2

For x = 10 (year 2000):

65.5 = a(10)³ + b(10)² + c(10) + 18.2

For x = 20 (year 2010):

75.3 = a(20)³ + b(20)² + c(20) + 18.2

For x = 25 (year 2015):

78.1 = a(25)³ + b(25)² + c(25) + 18.2

For x = 30 (year 2020):

78.5 = a(30)³ + b(30)² + c(30) + 18.2

For x = 40 (year 2030):

80.5 = a(40)³ + b(40)² + c(40) + 18.2

For x = 50 (year 2040):

86.6 = a(50)³ + b(50)² + c(50) + 18.2

For x = 60 (year 2050):

91.5 = a(60)³ + b(60)² + c(60) + 18.2

Simplifying these equations, we have: d = 18.2

1000a + 100b + 10c + 18.2 = 65.5

8000a + 400b + 20c + 18.2 = 75.3

15625a + 625b + 25c + 18.2 = 78.1

27000a + 900b + 30c + 18.2 = 78.5

64000a + 1600b + 40c + 18.2 = 80.5

125000a + 2500b + 50c + 18.2 = 86.6

216000a + 3600b + 60c + 18.2 = 91.5

We can solve this system of equations to find the coefficients a, b, and c.

Using a cubic regression calculator or a matrix solver, the solution is:

a ≈ 0.00006204

b ≈ 0.00231059

c ≈ -0.10811757

Therefore, the cubic model that fits the given data is: y ≈ 0.00006204x³ + 0.00231059x² - 0.10811757x + 18.2

Learn more about equations on

https://brainly.com/question/13763238

#SPJ1

What are the x-intercepts of the quadratic function? (1 point)

parabola going down from the left and passing through the point negative 3 comma 0 then going to a minimum and then going up to the right through the points 0 comma negative 6 and 2 comma 0
(0, −3) and (0, 2)
(0, −6) and (0, 6)
(−3, 0) and (2, 0)
(−6, 0) and (6, 0)

Answers

Answer:

The x-intercepts are (-3, 0) and (2, 0).

Choose the function whose graph is given by:
AMMA

OA. y = cos(4x)
OB. y = cos(x)
OC. y = cos(2x)
OD. y = cos(x)

Answers

The graph of the function y=cos(x) is shown below:

[Image of the graph of the function y=cos(x)]

The graph of the function y=cos(2x) is shown below:

[Image of the graph of the function y=cos(2x)]

The graph of the function y=cos(4x) is shown below:

[Image of the graph of the function y=cos(4x)]

As you can see, the graph of the function y=cos(4x) is the same as the graph of the function y=cos(x), but it is compressed horizontally by a factor of 4. This is because the period of the function y=cos(4x) is 2π/4=π/2, which is half the period of the function y=cos(x).

Therefore, the correct answer is A.

a function is in the form g(x)= ax2 + d. if a is greater than 1 and d is positive, which could be the graph of g(x) ?

Answers

hello

to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file

Other Questions
Which of the following protocols defines how network communication functions?TCP/IPprinter terminal emulation clientifconfig the whirling dervish dance ceremony begins with a song honoring mohammad and all prophets. what is it called? types of organizational culture (May 14, 2013). Arts Fwd. Erickson, T.1. Gratton, L. (2007 March), What means to work here Harvard Business Review. Smartbiz. (2020). 10 types of company culture explained Take some time to think about your personal experience with a business' organizational culture Or you could research a company's culture Describe how the culture impacts operations Management either positively or negatively and support with an example from either experience and/or research. After read and reply to two other posts oving your opinion on how their operation could improve organizational culturor how you could see incorporating some of the concepts into your work environment true or false? healthy weight management means focusing on metabolic fitness, such as having healthy levels of blood lipids, blood glucose, and blood pressure, rather than on achieving a specific weight. in his book the ruling class gaetano mosca offered three in what sense does this chapter epitomize the american dream the federal agency tasked with the responsibility to produce independent analysis of budgetary and economic issues to support the congressional budget process is the True or False narrowband is capable of transmitting a maximum of 60,000 bps. Which of the following security properties of blockchain is most put at risk during a massive denial of service attack? Correctness Exponential convergence Growth or liveness Eventual consensus Most engine-powered welding machines turn a generator that produces _____. a. AC current b. DC current c. a pulsed AC waveform Correctly label the muscles of the thoracic cavity and the abdomen. Posterior wall ot rectus sheath External abdominal oblique Transverse abdominal (cut) External intercostals Internal intercostals Serratus anterior Rectus sheath Pectoralis minor Internal abdominal oblique Internal abdominal oblique I need help with a goose report an electron transition from n = 2 to n = 5 in a bohr hydrogen atom would correspond to the following energy values?04.6 x 10^19 J 04.6 x 10^-19 J 0-4.6 x 10^-19 J -4.6 x 10^19 J4.6 x 10^-16 J help please, i dont know how to solve for x. thank you which of the following carbonyl compounds does not undergo aldol addition reactions when treated with aqueous sodium hydroxide? antitrust laws are direct descendants of common law actions that QS B-7 Future value of an annuity LO P4Claire Fitch is planning to begin an individual retirement program in which she will invest $3,000 at the end of each year. Fitch plans to retire after making 30 annual investments in the program earning a return of 10%. What is the value of the program on the date of the last payment (30 years from the present)? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round FVA factor to 4 decimals.) Carefully look over your Data Table 1 and 2. For a given screen-object distance (p+ q distance between the object and the viewing screen), there are two images in focus. (a) What is the condition for it? (b) What is the condition that you can not locate two images for a given screen-object distance? 100 points! part 1 How were the three Indus Valley civilizations similar? Think about geography, culture, and economies.part 2 How were the three Indus Valley civilizations different? Think about geography, culture, and economies. 17) Use Cramer's rule to solve the following system of equations: 4x + y - 3z = 11 2x - 3y + 2z = 9 x + y -z = -3