If a = 2 and b= -3, find the value of 2ab + 3b

Answer:

l=11

Step-by-step explanation:

w Width

3

h Height

2

V Volume

66

Answer:

(a)

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}[/tex]

(b)

[tex]P(x) = 4x[/tex]

(c)

See attachment for graph

Step-by-step explanation:

Given

P(x) = Perimeter of square

Solving (a): Complete the table

The perimeter of a square is:

[tex]P =4x[/tex]

so, the table will be completed by multiplying each value of x by 4.

So, we have:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}[/tex]

Solving (b): The equation

This has already been stated in (a)

[tex]P(x) = 4x[/tex]

Solving (c): The graph

See attachment for graph

Answer:

The margin of error is of 0.17.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a)Calculate the margin of error that the high school student will have.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Answer:

A≈471.24 is the surface area of the cylinder

58m^2 is the surface area of the triangular prism

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389

Triangle area formula

area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

4(2.5)+8(6)

10+48=58m^2

Hope this helped!!!

Answer: n = 4

Step-by-step explanation:

Divide both sides by 3

n+2=3(6−n)

Expand

n+2=18−3n

Subtract 2 from both sides

n=18−3n−2

Simplify 18−3n−2 to −3n+16.

n=−3n+16

Add 3n to both sides

n+3n=16

Simplify n+3n to 4n

4n=16

Divide both sides by 4

n= 4/16

​

Simplify 16/4 to4

n=4

Answer:

Step-by-step explanation:

subtrct 2 from every x co-ordinate and add 7 to every y co-ordinate.

Answer:

She bought _20___ shares at $19 and _80__ shares at $24.

Step-by-step explanation:

x + y = 100

19x + 24y = 2300

-19x - 19y = -1900

5y = 400

y = 80

x + 80 = 100

x = 20

She bought _20___ shares at $19 and _80__ shares at $24.

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:

[tex]V = V_{c} + V_{h}[/tex] (1)

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

[tex]l[/tex] - Length, in centimeters.

[tex]R[/tex] - Radius, in centimeters.

If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]

[tex]V \approx 434.041\,cm^{3}[/tex]

The volume of the composite figure is approximately 434.041 cubic centimeters.

Answer:

7/25

Step-by-step explanation:

In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.

To find this, we need to locate the intersection in the Venn diagram which is

14.

The intersection represents the number of students that both play a sport and take a foreign lang.

We have our favorable outcomes of 14.

Our total outcomes can be found by adding all the numbers like so:

23+14+10+3=50

The theoretical probability theorem is:

Number of favorable outcomes/number of total outcomes.

So our answer is 14/50, or simplified as 7/25!

Hope it helps! :))

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

Answer:

1/3

Step-by-step explanation:

7/21 = 1/3

This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.

That makes it 1/3.

Hope that helps! :)

Answer:1/3

Step-by-step explanation:to simplify, divide both numerator and denominator by 7

7/7=1 and 21/7=3

Answer:

C for the first one

1,6 for the second

Neither for the third

Step-by-step explanation: EDGE 2021

Answer:

The first Question is C

Question 2 is 1,6

Question 3 is Neither

Step-by-step explanation:

trust me I took the quiz

Answer:

There are 64 pigs

Step-by-step explanation:

pigs: cows: total

16            2   16+2

16          2         18

There are 72 animals

72 /18 = 4

Multiply each number by 4

pigs: cows: total

16*4     2*4     18*4

64         8        72

There are 64 pigs

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Find out more information about probability here

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Answer:

solution given:

height [h]=7ft

side 1=7ft

side2=8ft

it is trapezium

so

area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]

=52.5ft²

Answer:

46% is the percent of the bags of baby carrots that have between 90 and 100 carrots

Step-by-step explanation:

The baby carrot is normally distributed.  

z = (x - µ)/σ

x is equal to number of baby carrots  

µ = mean

σ = standard deviation

Substituting the given values, we get -

90 ≤ x ≤ 100

z = (90 - 94)/8.2 = - 0.49

 For z value of -0.49, the probability is 0.31

For x = 100

z = (100 - 94)/8.2 = 0.73

For z value of 0.73, the probability is 0.77

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots having carrots between 90 and 100 carrots is  0.46 × 100 = 46%

Answer:

No triangle possible

Step-by-step explanation:

Answer:

x = 2

y = 1

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

Answer:

1,5 should be correct this should be correct let me know and mark me brainless if it is thanks

The vertex of the parabola is,

⇒ (1, 5)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

x² - 2x + y - 4 = 0

Now, We can change it into vertex of this parabola as;

x² - 2x + y - 4 = 0

x² - 2x + 1 - 1 + y - 4 = 0

(x - 1)² + y - 5 = 0

(x - 1)² = - y + 5

(x - 1)² = - 1 (y - 5)

Thus, The vertex of the parabola is,

⇒ (1, 5)

Learn more about the quadratic equation visit:

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Answer:

D

Step-by-s:

Ya que el 4.0 no es un número natural, es un número decimal (Z - número entero).

Since 4.0 is not a natural number, it is a decimal number (Z - whole number).

9514 1404 393

Answer:

  A.  g(x) = √(x -5), x ≥ 5

Step-by-step explanation:

You can use the definition of an inverse function to solve for g(x).

  x = f(g(x))

  x = (g(x))^2 +5

  x -5 = (g(x))^2 . . . . . subtract 5

  √(x -5) = g(x) . . . . . take the square root

The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.

  g(x) = √(x -5),  x ≥ 5

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

i'd be happy to help you, but there isn't an image attached.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

Answer:

[tex]C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

i have verified on the internet with other websites

Answer:

c as they give the line of the graph