The sum of two positive integers is 56. When the smaller integer is subtracted from twice the larger, the result is 43. Find the two integers.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

(-5, 5)

Step-by-step explanation:

The function increases from x = -11 to x = -5.

The function decreases from x = -5 to x = 5.

the function increases from x = 5 to x = 11.

Answer: (-5, 5)

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Answer:

Each wedge of cheese would weigh 0.3125 pounds. Or 5 ounces.

The correct answer is ----  \(\frac{0.3125lb}{5lb}\)

Step-by-step explanation:

You divide 5/16 to get 0.3125 pounds.

Then convert 0.3125lbs to ounces. (5 oz.)

The proper fraction form for this would be    \(\frac{0.3125lb}{5lb}\)

(Writing it in a mixed number form would be the same as the proper fraction form.)

Answer: 2 each

Step-by-step explanation:

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)

The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.

The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.

It is demonstrated to rotate 180 degrees around the origin.

From the question:

The coordinates of B are - B(1, -8).

Thus, the formula is (x,y)→(−x,−y)  for a 180° rotation of the origin.

B' - (-1 ,-(- 8))

B' - (-1, 8)

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)

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Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's say

d1 the outflow of the first pump

d2 the outflow of the second pump

V=1 is the volume of the tank

Since the second pump takes twice as long as the first to fill the tank,

\(V=1=k*d_1*t\\V=1=k*d_2*(2*t)\\==>\ d_1=2*d_2\\\\\)

Two pumps can fill a pool tank in 26 hours when working together:

\(V=1=k*(d_1+d_2)*26 \ ==> V=1=k*(3*d_2)*26 \ ==>k=\dfrac{1}{3*d_2*26} \\\\\)

How long does it take the first pump alone to fill the tank:

\(V=1=k*d_1*t=k*2*d_2*t=k*3d_2*26\\2*t=3*26\\\\t=\frac{3*26}{2} \\\\t=3*13\\\\t=39\ (hours)\)

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

\((x - x)^2 + (y-b)^2 = r^2\)

First we will find the centre, (a , b):

\(a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1\)

Find radius:

\(Radius, r = \frac{Diameter}{2}\)

Diameter is the distance between (-1, 4) and (3, -2)

\(diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\\)

             \(= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units\)

Therefore , \(r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units\)

Equation of the circle is :  

                                 \((x - 1)^2 +(y-1)^2 = 13\)

You have the following equation:

2x² - 12x + 16 = 0

in order to solve the previous equation, first divide by 2 both sides:

x² - 6x + 8 = 0

next, consider that the factors of the previous expression has the form:

(x - )(x - ) = 0

consider the first number inside the first factor is the result of the sum of two numbers, and the number of the second factor is the product of the same numbers. Such numbers are:

(2)·(4) = 8

2 + 4 = 6

hence, the factorized expression is:

(x - 8)(x - 2) = 0

the solutions of the equations are:

x = 8

x = 2

Using a system of equations, it is found that Anne gets 5x - 10 pens.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we consider that John gets x pens.

Lucy gets 2 pens less than john, hence:

L = x - 2.

Anne gets 5 times many pens as lucy, hence:

A = 5L = 5(x - 2) = 5x - 10.

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Answer:

96

Step-by-step explanation:

15 x 7 =105

105 - 9 = 96

Answer:

114

Step-by-step explanation:

You have to do 7 x 15 to get 105 than add the 9 which is 114. If this is a BEDMAS/PEDMAS question, you do multipictaion then addtion.

Answer:

diameter it goes throught the circle and as end points across

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. \(-\frac{1}{5} x+\frac{4}{5}\)

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

\(\frac{x+4}{-5}\) = y  can be rewritten as \(-\frac{1}{5} x+\frac{4}{5}\)

4. Write in inverse notation:

f(x) = \(-\frac{1}{5} x+\frac{4}{5}\)

Therefore, B is the answer.

The system of equations has a solution such that x = -3 and y = 2.

To solve the system of linear equations:

3x - y = -11

-x + y = 5

We can use the method of elimination:

Add the two equations together to eliminate y:

3x - y + (-x + y) = -11 + 5

Simplifying:

2x = -6

Divide both sides by 2:

x = -3

Substitute x = -3 into one of the equations to solve for y:

-x + y = 5

-(-3) + y = 5

3 + y = 5

Subtract 3 from both sides:

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2.

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The motion of the pendulum is a repetitive motion and the time at which

the displacement is maximum, can be found by differentiation.

\(The \ times \ in \ seconds \ are; -1\dfrac{2}{3}, \ -1, \ 0, \ \dfrac{1}{3}, \ \dfrac{2}{3}, \ 1\dfrac{1}{3} \\\)

Reasons:

The given function for the angular displacement from the rest location, θ(t),

is presented as follows;

θ(t) = 15·cos(3·π·t)

Where;

t = The time of displacement of the pendulum

Required:

To find the times, t, when θ(t) is greatest

Solution:

When θ(t) is greatest, θ'(t) = 0

Therefore;

\(\dfrac{d}{dt} \theta(t) = \dfrac{d}{dt} \left(15 \cdot cos(3 \cdot \pi \cdot t) \right) = -15 \cdot 3 \cdot sin (3 \cdot t \cdot \pi ) = 0\)

When sin(3·t·π) = 0, we have;

\(t = -\dfrac{2 \cdot n_1 - 1}{3}\) or \(t = \dfrac{2 \cdot n_1 }{3}\)

Where;

n₁ = An integer

Therefore, the times, t, in seconds are;

\(t = \dfrac{1}{3}, \ -1, \ -1\dfrac{2}{3}, ...\)

\(t = 0, \ \dfrac{2}{3}, \ 1\dfrac{1}{3}, ...\)

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Answer:

7

Step-by-step explanation:

took teh test

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

7 1/4

Step-by-step explanation:

:)

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

The answer is C, reflection over the y-axis.

Step-by-step explanation:

It is reflection because everything was flipped over the y-axis.

Answer:

Below

Step-by-step explanation:

The quations are both equal to 'y'  so the equations are equal

5x-10 = -3x+ 14

8x = 24

x = 3     <====== use this value of 'x' in one of the equations to calculate y

y = 5x-10

y = 5(3)-10 = 5  

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

Answer: 115 is the answer

Step-by-step explanation:

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

Answer:

If you mean by 1*2*3=6

Step-by-step explanation:

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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