1. Find the slope of a line
that passes through (3,-2)
and (7,5)

Step-by-step explanation:

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Answer:

x = 51

Step-by-step explanation:

If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:

[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]

Now, let's solve for x:

[tex]12.5-10-7.5+x=11.5(4)[/tex]

[tex]-5+x=46[/tex]

[tex]x=51[/tex]

I hope this helps!

Answer:

About 113,097.34 units

Step-by-step explanation:

           The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.

V = [tex]\frac{4}{3}[/tex]πr³

V = [tex]\frac{4}{3}[/tex]π(30)³

V ≈ 113,097.34 units

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

Answer:

[tex]7x + 3 \\ [/tex]

Step-by-step explanation:

All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.

[tex]3(7x + 3)[/tex]

Answer:

The area of a triangle is 14 cm square.

Step-by-step explanation:

Given : The expression  gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.

To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Solution :

The area of triangle is  

Where,b is the base b=7 cm

and h is the height h=4 cm.

Substitute in the expression,

Therefore, The area of a triangle is 14 cm square.

Step-by-step explanation:

In the second column, we can see that every value of n is being added by 6.

Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.

When n is 12:

When n is 15:

When n is 21:

Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.

Finding n + 6 when n is 28:

Thus, the missing value in the table is 34.

Answer:

It is irrational

Step-by-step explanation:

Hope that helps!

The equation of the central street PQ is  -1.5x - 3.5y = -31.5 option (b) is correct.

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

[tex]-7x+3y=-21.5[/tex]  

Convert it to the general form given below:

[tex]\rm y=mx+c[/tex]

[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or

[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]

[tex]m = \frac{7}{3}[/tex]   (Slope of AB line)

For the slope(m') of the PQ line:

[tex]\rm m'=-\frac{1}{m}[/tex]    ( because AB and PQ are perpendicular to each other)

[tex]\rm m' = -\frac{3}{7}[/tex]

We know the:

[tex]\rm (y-y')=m'(x-x')[/tex]

Where (x', y') = (7, 6), we get:

[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]

[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]

[tex]\rm -1.5x-3.5y=-31.5[/tex]   (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is  -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

Answer:

all real numbers

Step-by-step explanation:

the domain for normal linear and quadratic equations is always all real numbers

Answer:

5.9 or 5.85 unrounded

The expression that represents waste reduction is w - 0.35x.

The paper waste produced now is 5.2 pounds per month.

The exression that represents waste production is the total amount of waste generated less athe reduction in waste.

w - 0.35x

Waste now produced = 8 - 0.35 x 8 = 5.2 pounds

To learn more about mathematical expressions, please check: https://brainly.com/question/11980704

The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, we're provided that:

The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)

It is compounding monthly, thus, 12 times a year, or n = 12

The initial amount that the credit card of Victor has = p = $1349.34

Time for which interest was compounded = a year = 1 = t

Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]

Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

Learn more about compound interest here:

https://brainly.com/question/1329401

Answer:

C

Step-by-step explanation:

I took the test and passed with 100

Answer:

x=6.6

Step-by-step explanation:

13:5=x:3

33=5x

33/5=x

6.6=x

Answer:

15.16047 cm

Step-by-step explanation:

notice that the smaller triangles ratio is 3 : 5

so the bigger triangle's bottom side has length 13 cm

so lets multiply 13 by (3/5)

we get 7.8

we can just use pythagorean theorem to find AB

[tex]\sqrt{x} = 7.8^{2} + 13^{2}[/tex]

15.16047 cm

Answer:

No.

Step-by-step explanation:

the result is 17 / 5, Which is not = 3 / 2

Answer:

Step-by-step explanation:

Solve this problem by multiplying the fraction from left to right.

Dividing is another option.

3/5=0.6

I hope this helps you! Let me know if my answer is wrong or not.

[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

it comes out originally like 10/12 but if your simplify it it's 5/6

Answer:5/6

Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6

Step-by-step explanation:

The answer should be 578mi²

Answer:

Step-by-step explanation:

congruent sides

Answer:

soIve the congcreunt sides

Step-by-step explanation:

then ask ur parents

Answer:

11y + 7

Step-by-step explanation:

4y + 5 + 2 + 7y

4y + 7y + 5 + 2 <== combine the like terms

11y + 7

Hope this helps!

Answer:

11y+7

Step-by-step explanation:

4y+5+2+7y

combine like terms

5+2=7

then you have

4y+7+7y

combine the y's

4y+7y=11y

then you got

11y+7  

Answer:

x2-y2=49

Step-by-step explanation:

the radius is the square root of the number after the equal sign.  So the only choice with a number with square root 7 is x2-y2=49

Answer:

The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and

weather the graph turns upward or downward

Step-by-step explanation:

this is your answer

Answer:

Hope this helps :-)

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

2b+3b-b-7+4+3

4b

I hope this answered it

Using it's concept, it is found that there is a There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the possible outcomes for the pair of dice are given by:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

We want to find the probability that the sum is less than 8 if the first die(the pink one) shows a number less than 4.

There are 18 total outcomes in which the pink die is less than 4, and in 3, the sum is less than 4, hence:

p = 3/18 = 1/6 = 0.1667.

There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: 718 in^2.

Step-by-step explanation: To find the volume of a cone, you use the following equation:

V = π x r^2 x h x 1/3, where π is approximately 3.14, r^2 is the radius of the cone squared, h is the cone's height, and V is the volume of the cone.  Since a cone's volume is one-third of a cylinder's, that's why we multiply by 1/3, in case you're confused about where the 1/3 comes from.

Now, we substitute the following so we can solve this problem:

V ≈ 3.14 x 7^2 x 14 x 1/3.

Now that we've filled in the following, we can solve it:

Therefore your answer is 718.01333333 in^2 or rounded to the nearest whole number is 718 in^2.

Let me know if this is right! :)

Answer:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Explanation:

slope:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

equation in slope intercept form:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope, we use points on the line.

Here, I will be suing (-6, -8) and (8, -1)

[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{2} x+b\\[/tex]

Now, we use either of our points (-6, -8) OR (8, 1) to find b.

I will be using (8, -1):

[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]

[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]

Check your answer manually: (-6, -8)

[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Answer:

-1

Step-by-step explanation:

Follow the example below and Good Luck!!!

Answer:

  -6/5

Step-by-step explanation:

The slope of the line is the ratio of "rise" to "run". That is, it is the ratio of the vertical change between two points to the horizontal change between those points.

__

Here, two points are marked, (-1, 2) and (4, -4). Either by counting grid squares or by subtracting coordinates, we find the vertical change (rise) from the first point to the second to be (-4 -2) = -6 units. The horizontal change (run) from the first point to the second is (4 -(-1)) = 5.

The slope is the ratio of these values:

  slope = rise/run = -6/5

Answer: sqrt(182)

Step-by-step explanation: