Write 53/16 as a decimal.​

Answer: A: 9

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Answer:

Step-by-step explanation:

You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).

The parallel line will have the same slope. The slope is given by the equation ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -6)/(1 -(-1))

  m = -1/2

We need to find the y-intercept of the desired line. Solving the equation for "b", we get ...

  y = mx +b

  b = y -mx . . . . . . . subtract mx to find b

  b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)

  b = 2 +1

  b = 3

The equation we want is ...

  y = -1/2x +3

The third quartile of the date is Q₃=75

The numbers known as quartiles are used to divide the provided data set into four equal portions, or three points. Thus, the values that split the provided data into three quarters are known as quartiles. The center point of distribution is shown by the middle portion of the quartiles. The interquartile range is determined by the difference between the higher and lower quartiles so established.

Data 26, 34, 38, 49, 65, 75, 81  

First arrange the data from smallest to greatest

26, 34, 38, 49, 65, 75, 81  

Then find the median of the data,

Since, the data is in odd numbers median is mid term i.e. 49.

To find the third quartile we take the upper half of data

Upper half of data set, 65, 75, 81  

Third quartile is the median of the upper half of the data.

Median of upper half is

Q3 = (n+1)th

Q3 =(3+1)th

Q3 = 2th term

Q3 = 75term

Therefore, The third quartile is Q3 = 75term

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Answer:

49

Step-by-step explanation:

Answer:

the diagonal of a square is seven root feet

√2a=√7 a=√7/2 perimeter =

Step-b

y-step explanation:

Answer:

11.3

Step-by-step explanation:

1.1 + 4.1 = 5.2

5.2 + 6.1 = 11.3

The greatest possible sum for the two integers ( c and d) is 1.

The question gives:

The possible values for c and d for a product equals -6 are:

Now you should sum the possible values of c and d for each option.

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Answer:

1

Step-by-step explanation:

R=red Y=yellow B=black

2(R)+4(B)

=6

2(Y)/6(R+B)

2/6 to get 50=50 or 3/6=1/2

you need 1 more yellow

Answer:

x = 21

Step-by-step explanation:

As the quadrilaterals are similar, their corresponding sides will be in the same proportion.

     PS ~ TW   and SR ~ WV

 [tex]\sf \dfrac{PS}{SR} = \dfrac{TW}{WV}\\\\\dfrac{x}{35}=\dfrac{15}{25}\\\\ x = \dfrac{15}{25}*35\\\\ x = 3*7\\\\x = 21[/tex]

Answer:

4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]

Step-by-step explanation:

Definition of the inverse of a function

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function [tex]f(x) =\left(x-4\right)^2[/tex]

Let [tex]y=\left(x-4\right)^2[/tex]

[tex]\mathrm{Replace}\:x\:\mathrm{with}\:y[/tex] [tex]\text{ and replace }\:y\:\mathrm{with}\:x[/tex]

[tex]x=\left(y-4\right)^2[/tex]

Switch sides
[tex]\left(y-4\right)^2=x[/tex]

Take square roots on both sides
[tex]y-4=\pm\sqrt{x}[/tex]

Add 4 on both sides to solve for y

[tex]y = \pm\sqrt{x} + 4[/tex]

We have two solutions

[tex]y=\sqrt{x}+4,\:y=-\sqrt{x}+4[/tex]

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
[tex]-\sqrt{x} + 4[/tex] is a decreasing function for [tex]x \ge 0[/tex]

So the last answer choice is correct and the inverse of[tex]f(x) = (x-4)^2[/tex]

is given by  [tex]f^{-1}(x) = \sqrt{x} + 4[/tex]

Answer:4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]

Note

Domain of  (x-4)² is [4, ∞) since x ≥ 4 and (x-4)²  cannot be negative

Range of (x-4)²  is [0,  ∞)

Domain of [tex]\sqrt{x}\:+\:4[/tex] is [0, ∞)

Range of [tex]\sqrt{x}\:+\:4[/tex] is [4, ∞)

so indeed the domain of (x-4)² has become the range of [tex]\sqrt{x}\:+\:4[/tex] and the range of (x-4)² has become the domain of [tex]\sqrt{x}\:+\:4[/tex]

Answer:

Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4

Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.

Step-by-step explanation:

A, perpendicular line

By further simplifying the quadratic equation the answer is  13x²+5x+9.

=(9x² - 2x + 7) + (4x²+7x+2)

= 9x²+4x²+7x-2x+7+2

= 13x²+5x+9

Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

When a problem is factorable, factoring is often the quickest and simplest solution. Factoring won't help us because many times the quadratic we're working with can't be factored. Therefore, it is quick and simple when it is useable but not always factorable.

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Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

In the first row of the table, we are given the scale factors of 1 and 1.25. From the second row, we have that the width for a scale of 1 is of 8 inches, and for a scale of 1.25 is of A, hence:

A = 1.25 x 8 = 10.

For the third row, we have that the scale of 1 is of 28 inches, while the scale of 1.25 is of B, hence:

B = 1.25 x 28 = 35.

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In proportion , [tex]1\frac{3}{4}[/tex] pound of ground beef requires [tex]1\frac{1}{20}[/tex] cup of breadcrumbs.

What in mathematics is a proportion?

It is given that Dominic uses 3/4 cups of breadcrumbs for every [tex]1\frac{1}{4}[/tex]  pounds of ground beef. Therefore for 1 pound of ground beef he will required .

[tex]1\frac{1}{4}[/tex]   → 3/4

5/4  →  3/4

1 →  12/20

1 →  3/5  cups of breadcrumbs

Therefore, Dominic need 3/5 cups of breadcrumbs when he uses 1 pound of ground beef.

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Answer: 35.9

Step-by-step explanation:

Answer:

The answer would be 35 9/10 gallons of water left.

The answer choice which represents the rewritten form of; 2,290,000 in scientific notation is; 2.29 × 10⁶.

The scientific notation of a number is the form of the number such that only one digit appears before the decimal and the rest of the place value is represented by exponents of 10.

Hence, since the highest place value in the number is million; it follows that the science notation representation is; 2.29 × 10⁶.

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Answer: $3.16 per pound

Step-by-step explanation:

$15.8/5=$3.16 per pound

The original price of the Sofa is $620

The original price is reduced by 60%

After this reduction the price reduced to $280

Therefore the original price can be calculated as follows

The first step is to subtract 60% from 100%

= 100-60

= 40%

The original price can be calculated as follows

280 × 100/40

= 28,000/40

= 700

Hence the original price of the sofa is $700

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Answer:

between 2 and

Step-by-step explanation:

Answer:

between

2 and

Step-by-step explanation:

Answer: 174

Step-by-step explanation:

For this problem, let's divide the number by two since we know it's a combination of two numbers in a series as they are two consecutive book pages.

349 / 2 = 174.5

Note, that the number we have is a decimal, and page numbers cannot be partial numbers, they must be integers.  With this, we can take the lower and the upper of our decimal numbers to retrieve the two-page numbers.

174.5 (Upper) ==> 175

174.5 (Lower) ==> 174

With this, we can verify these numbers have a sum of 349.

175 + 174 =? 349

349 == 349

So indeed, these numbers are a sum of 349.  Now that we know these are our page numbers, we know 174 will come before 175 since page numbers are sequential.

Cheers.

Answer:

Gallons of gas

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

t=3

−t+(5−t) 3=

−t+(5−t)*3=

−t+3(5−t)=

−3+3(5−3)=

-3+15-9=

12-9=3

Hence, the answer is 3.

Answer:

Given t = 3,

[tex]\sf -t + (5 - t) * 3\\-3 + (5 - 3) * 3\\5 - 3\\= 2\\= -3 + 2\\= 1\\= 1 * 3\\= 3[/tex]

Therefore, your answer is 3.

the range of the function g(x) = x^6 is: R: [0, ∞)

Here we have the function:

g(x) = x^6

First, notice that we have an even exponent. This means that the outcome of the function will always be a positive number, then the minimum of the range is:

g(0) = 0^6 = 6

And we don't have a maximum, the function tends to positive infinity in both ends (as x → -∞ and as x → ∞).

So the range is: R: [0, ∞)

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After a 90-degree counterclockwise rotation of the point (-10, 6); the image point will be (- 6, - 10) .

As we all know, when a point ( x, y ) rotates counterclockwise, then the new coordinates of the given point are ( -y, x ).

Here the given point is (-10, 6) , where x = -10 and y = 6 ; as we know after rotation new x  will be -6 and new y will be -10 .

So, after rotation the new coordinates will be ( -6 , -10 ) .

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Answer: The height of the water was 2 inches before any water was added.

The path of the ball in terms of the balanced or unbalanced forces that act on it is described by the following option;

According to Newton's laws of motion, a body remains at rest or maintains a uniform motion in a straight line unless unbalanced forces are acting on it.

Therefore;

The forces are balanced when the ball is at rest in the pitcher's glove.

While the ball is made to move during the pitcher's windup and release, the forces are unbalanced.

The forces are balanced while the ball is traveling at a constant speed (uniform motion).

When the ball's speed is changed as it hits the catcher's gloves, the forces are unbalanced.

When the ball is at rest in the catcher's gloves, the forces are balanced.

The correct option is therefore the 6th option

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Answer42 - 2197

Step-by-step explanation: