Find the slope between these points 3.(-1,3) and (5,4)4. (-4,2) and (-1,9)

Based on the relationship between the ages of the wife and her husband, their ages are:

The wife is 6 years younger than her husband but when their ages are multiplied, we get a product of 616 years.

Assuming that the husband's age is x, their ages are:
x × (x - 6) = 616

x² - 6x = 616

x = 28 years

The age of the wife is therefore:
= x - 6

= 28 - 6

= 22 years

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Answer:

=72/5

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

Answer: \(\frac{8}{15}\), 192°

Step-by-step explanation:

We add all of the responses to get the total number:

4 + 8 + 3 = 15 responses.

Then, to find the fraction that said science, you divide the number of science responses by the total responses:

8 / 15 = \(\frac{8}{15}\)

To find the degrees, we take the total number of degrees in a circle, 360, and multiply it by our fraction, \(\frac{8}{15}\).

This gives us: 8/15 * 360 = 192°

Answer:

Step-by-step explanation:

When an integers or a whole number is divided by another integer or whole number the result is a whole number.

Hence \(\frac{-15}{2}\) is a rational number

This is  because both -15 and 2 are integer numbers

Answer:

rational

Step-by-step explanation:

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

The sample mean is 6.1

Step-by-step explanation:

Margin of Error (E) = (upper limit - lower limit)/2 = (6.8 - 5.4)/2 = 1.4/2 = 0.7

Sample mean = lower limit + E = 5.4 + 0.7 = 6.1

Answer:

Step-by-step explanation:

If it is a rectangle all the angles between the sides will be 90 degrees. In other words all lines are perpendicular to their joining line.

To find if that is true we can work out the slope of one line (m) and if the line joining it has slope -1/m then they are perpendicular.

So Find the Slope of line segment AB:

m = (3 - 1)/ (3 - -3) = 2/6 = 1/3.

Now BC:

m = (0 - 3)/(4-1) = -3.

If m = 1/3 the -1/m = -1 / 1/3 = -3

- therefor BC is perpendicular to AB.

We can apply the same test to the other  pairs of points  so as to prove this is a rectangle.

The rate of change of the elevator elevation during the 15 second interval is 14/3 feet per second

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let y represent the height of the elevator above the ground after x seconds. Hence the equation is:

y = mx + b

Where m is the rate of change and b is the initial height of the elevator

The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. after traveling for 15 seconds, the elevator is 20 feet below ground level.

Hence: b = -90, x = 15, y = -20. Substituting:

-20 = m(15) - 90

m = 14/3

The rate of change is 14/3 feet per second

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Answer:

6:4:9 Yw❤️

Step-by-step explanation:

Answer:

A.10,4

B.5,10

C.5,5

D4,4

Step-by-step explanation:

KERE ON LERNER?

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

point = ( -6, 2)

slope = -3

Step-by-step explanation:

point slope formula;

y - y1 = m ( x - x1) ,

where m= slope , (x1, y1) = the coordinates of a point

y - 2 = -3 ( x + 6)

a point the line passes through = (-6 , 2)

slope of the line = -3

Answer:

a. \(\mathbf{P(\overline x < 68) = 0.9998}\)

b. \(\mathbf{P(68 < \overline x < 69 ) =0}\)

c. \(\mathbf{P ( \overline x > 66 ) =0.02275}\)

Step-by-step explanation:

Given that ;

Let Y be a random variable In a​ population, where:

mean \(\mu_y\) = 65

\(\sigma^2_y\) = 49

standard deviation σ  = \(\sqrt{49}\) = 7

The objective is to determine the following :

In a random sample of size n​ = 69​, find Pr(Y <68) =

Using the Central limit theorem

\(P(\overline x < 68) = \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{68 - \mu }{\dfrac{\sigma}{\sqrt{n}}} } \end {pmatrix}\)

\(P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{68 - 65 }{\dfrac{7}{\sqrt{69}}} } \end {pmatrix}\)

\(P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{3 }{\dfrac{7}{8.3066}} } \end {pmatrix}\)

\(P(\overline x < 68) = (Z < 3.5599 )\)

From the z tables:

\(\mathbf{P(\overline x < 68) = 0.9998}\)

In a random sample of size n​ = 124​, find Pr (68< Y <69)=

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{ 69 - \mu}{\dfrac{\sigma}{\sqrt{n}}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- 65}{\dfrac{7}{\sqrt{124}}} < Z < \dfrac{ 69 - 65}{\dfrac{7}{\sqrt{124}}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{3}{\dfrac{7}{11.1355}} < Z < \dfrac{ 4}{\dfrac{7}{11.1355}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} 4.7724 < Z < 6.3631 \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P( Z < 6.3631 ) - P ( Z < 4.7724 )\)

From z tables

\(P(68 < \overline x < 69 ) = 0.9999 - 0.9999\)

\(\mathbf{P(68 < \overline x < 69 ) =0}\)

In a random sample of size n​ = 196​, find Pr (Y >66)=

\(P ( \overline x > 66 ) = P ( \dfrac{\overline x -\mu }{\dfrac{\sigma}{\sqrt{n}}} > \dfrac{66 -\mu }{\dfrac{\sigma}{\sqrt{n}}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{66 - 65 }{\dfrac{7}{\sqrt{196}}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{1 }{\dfrac{7}{14}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{14 }{7})\)

\(P ( \overline x > 66 ) = P ( Z>2)\)

\(P ( \overline x > 66 ) = 1 - P ( Z<2)\)

from z tables

\(P ( \overline x > 66 ) = 1 - 0.9773\)

\(\mathbf{P ( \overline x > 66 ) =0.02275}\)

Answer:

x= 5.458

Step-by-step explanation:

x+15.92 = 21.378

  - 15.92   - 15.92

x = 5.458

Helpful hint: You just have to use inverse opperation to solve these problems

So, basically the opposite of what it is.

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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Answer:

7-15= -8

Step-by-step explanation:

Answer:

980

i hope this helps.

The volume of the prism is 195 cubic meters.

To find the volume of the prism, we need to multiply the length, width, and height of the prism.

Length = 13 m

Width = 3 m

Height = 5 m

Volume = Length x Width x Height

Volume = 13 m x 3 m x 5 m

Volume = 195 cubic meters

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

1.1 x \(10^{2}\)

Step-by-step explanation:

Use scientific notation to move the decimal point 2 spaces to the left, resulting in an answer of 1.1 x \(10^{2}\)

Answer: 1.1x10^2

been a while sorry if its wrong

Answer:

7 miles! hope this helps. :)

Step-by-step explanation:

Answer:

The answer is 69

Step-by-step explanation:

Answer:

-7 and 7

Step-by-step explanation:

-7+7=0

because they are opposite numbers

Step-by-step explanation:

-7+7= 0

it is hence -7 and 7

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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