6. Use the image below to find the missing value.
Using the segment addition postulate, find the value of m.
AB = 4m - 15
BC = Sm - 6
AC = 15

Answer:

5x= -15(negative)

Step-by-step explanation:

find the value of x (x= -3) add multiply by 5

Answer:

See explanation section

Step-by-step explanation:

Requirement A)

According to the graph, whenever Sarah purchased one comic book, she lost $5 from her allowance. Now the allowance remain after purchasing one comic book = ($100 - 5) = $95

Whenever she purchased three comic books, she lost $5 × 3 = $15 from her allowance. Now the allowance remain after purchasing three comic books = ($100 - 15) = $85. In that way, she lost her $50 after purchasing 10 comic books from her allowance. Therefore, the rate of change is $5.

Requirement B)

It represents that she spent $5 on her each comic book. It also represents that her each book decreases her allowance by $5.

Answer:

a) -5

Step-by-step explanation:

a) slope = (90-100)/(2-0) = -5

b) rate of change represents the deduction in amount left when one more book is purchased.. which is the cost of one book

Answer: The correct answer is D: 85 inches

Step-by-step explanation: The figure specified in the question is an equilateral triangle and one of it's properties is that all three sides have equal measurements.

The perimeter simply is a measurement of the lengths that runs around the entire shape. In other words the perimeter of a triangle is given as

Perimeter = 3L

Where L is the length of one side of the triangle.

If the perimeter of the table top is given as 255 inches, then we can now express it more properly as follows

255 = 3L

Divide both sides of the equation by 3

85 = L

Therefore the length of one side of the table measures 85 inches.

Answer:

21x³ - 46x² + 59x - 30

Step-by-step explanation:

21x³ - 28x² + 35x - 18x² + 24x - 30

= 21x³ - 46x² + 59x - 30

Step-by-step explanation:

7x ( 3x^2 - 4x + 5) - 6 ( 3x^2 - 4x +5)

21x^3 - 28x^2 + 35x - 18x^2 + 24x - 30

21x^3 - 46x^2 +59x - 30

Answer: im am not sure but try your best

Step-by-step explanation:

To determine housing affordability based on a $32,000 annual income, calculate 20% for the least ($6,400 per year or $533.33 per month) and 25% for the greatest amount ($8,000 per year or $666.67 per month) you should allocate to housing costs.

To calculate the least and greatest amount you should spend on housing based on an income of $32,000.00 using the 20% to 25% range, you first need to determine 20% and 25% of your annual income. The formula to calculate a percentage of a number is:

(Percentage / 100) x Total Amount

For the least amount (20%): (20 / 100) x $32,000 = $6,400 per year

For the greatest amount (25%): (25 / 100) x $32,000 = $8,000 per year

To find the monthly housing cost, divide these amounts by 12:

Least amount monthly: $6,400 / 12 = $533.33

Greatest amount monthly: $8,000 / 12 = $666.67

Therefore, you should spend between $533.33 and $666.67 per month on housing, based on the 20% to 25% range of your annual income.

Answer:

43.35pi m cubed

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Where r = radius

h = height

Given r = 1.7m and

h = 15m

Volume = pi x (1.7)^2 x 15

= pi x 1.7 x 1.7 x 15

Multiply through

Volume = 43.35 pi m cubed

Answer:

the correct answer is

b=-24-18

b=-42

Answer:

-42

Step-by-step explanation:

Just do invers operation

Answer:

x^6

Step-by-step explanation:

x^2*x^4=x^(2+4)=x^6

Answer:

-9 / 24

Step-by-step explanation:

Step 1:  Find an equivalent to -3/8

(-3*3) / (8*3)

-9 / 24

Answer:  -9 / 24

Answer:

-0.375

Step-by-step explanation:

-3/8 is the same as saying -3 divided by 8

so just divide those puppies and you get -0.375

Answer:

I'm pretty sure the answer is 1.0956.

Answer:

I think the answer is 7.065 in

Since the formula to find the area of a circle is A =

πr2

Answer:

3.75=b

Step-by-step explanation:

Answer:

20-(4*4)=4

Step-by-step explanation:

Final answer:

The number that satisfies the equation is 4.

Explanation:

To solve the equation, let's assume the number is represented by 'x'.

The product of 4 and the number would be 4*x or 4x.

Twenty minus the product of 4 and the number can be written as

        20 - 4x.

According to the problem, this expression is equal to 4.

So, we can write the equation as

        20 - 4x = 4.

To solve for 'x', we can isolate the variable by subtracting 20 from both sides:

        -4x = 4 - 20 = -16.

Then, we divide both sides by -4:

         x = -16 / -4 = 4.

Therefore, the number that satisfies the equation is 4.

To calculate the total snowfall in January and February, we add the snowfall measurements for both months. The total snowfall for January (8.6 inches) and February (2.8 inches) is 11.4 inches.

The question involves adding the amounts of snowfall for two different months, which is a basic arithmetic operation covered in mathematics. To find the total snowfall in January and February combined, we simply add the snowfall totals for each month.

According to the given information, there were 8.6 inches of snow in January and 2.8 inches in February.

Total snowfall for January and February combined is 8.6 + 2.8 = 11.4 inches.

If we consider the additional provided information, we can infer that since the schools closed and more than three inches of snowfall triggers a closure, it's reasonable to assume that in at least one of these months the snowfall was above three inches.

Answer:

You need to provide more information, images data etc.

Step-by-step explanation:

Answer:cars and siblings

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5 1/2 divided by 1/4 is the same thing as times 4

5 1/2 times 4 equals 22 since 5*4 is 20 and 1/2 times 4 is 2

20+2 equals 22

Answer:

y = 4

Step-by-step explanation:

Use point slope form:  (y - y1) = m(x - x1)

(y - 4) = 0(x - (-7))

y - 4 = 0(x + 7)

y - 4 + 4 = 0 + 4

y = 4

Answer:  y = 4

Answer:

1)  16x -4

2) 7x + 45

Step-by-step explanation:

1 ) 6x + 2(5x -2)

we are going to open the bracket

we have,

6x + 10x - 4

16x -4

4(4x - 1).................................................... simplified

number 2

7x + 3(8+7)

7x +24 + 21

7x + 45........................................................... simplified

so therefore the solution to the first and 2nd question is

1)  16x -4

2) 7x + 45

Answer:

A

Step-by-step explanation:

THe perimeter is the sum of all the sides.

A triangle has 3 sides and we sum up the expressions to find the expression for perimeter.

Lets do this:

[tex](6.2p + 4.5q)+(3.4p-0.7r)+(2.9r-4.1q)\\=(6.2p+3.4p)+(4.5q-4.1q)+(-0.7r+2.9r)\\=9.6p+0.4q+2.2r[/tex]

We have added "p"s and "q"s and "r"s, together.

THe answer is Option A

Answer:

Step-by-step explanation:

Step one) Figure our what peace of information you need to find and write down what information you already know.

•George weeded 1/5 of the garden.

•At the end 2/3 of the garden was left, which means that 1/3 of the garden was weeded.

•Now we need to figure out how much Summer weeded.

Step Two) Find the LCM (Lowest common multiple) of 5 and 3.

The LCM of 5 and 3 is 15.

Step three) Change the denominator of both problems to 15. Now the information you have should be:

•George weeded 3/15 of the garden. (We get the 3 on top because we multiplied 5 x 3 to get 15 so we multiply the numerator by 3 as well.)

•At the end there was 10/15 left. (We get the ten on top because the bottom was multiplied 3 x 5 to get 15, so then we take the numerator which is 2 and multiply that by 5 as well.)

•Now we know that if 10/15 weren’t picked that means that 5/15 were picked.

•We still need to figure out the amount that was picked by Summer.

Step 4)

Now we will use all the previous information to do the final step.

If a total of 5/15 were picked, and 3/15 of those were picked by George, then we do the problem:

5-3=2

Answer: Sally picked 2/15.

The function is not invertible if you think of it as

[tex]f:\mathbb{R}\to\mathbb{R}[/tex]

because it is not injective: [tex]f(x)=f(-x)[/tex]

So, if we restrict the domain to the positive numbers only:

[tex]f:\mathbb{R^+}\to\mathbb{R}[/tex]

Note that the range is actually [tex][9,\infty)[/tex], so we can be more precise and write

[tex]f:\mathbb{R^+}\to[9,\infty)[/tex]

To find the inverse, we solve the expression for x:

[tex]y=x^2+9 \iff y-9=x^2 \iff x=\pm\sqrt{y-9}[/tex]

But since we restricted to positive values of x, the inverse is

[tex]x=\sqrt{y-9}[/tex]

To find the inverse of the function f(x) = x² + 9, swap x and y and solve for y. The inverse function is f^(-1)(x) = ± √(x-9), with a domain restricted to x ≥ 9.

To find the inverse of the function f(x) = x^²+ 9, we need to switch the roles of x and y and solve for y. The given function is y = x² + 9. Swap x and y to get x = y² + 9. Rearrange this equation to solve for y in terms of x: y² = x - 9. Taking the square root of both sides gives us y = ± √(x-9). Therefore, the inverse function is f^(-1)(x) = ± √(x-9), and the domain is restricted to x ≥ 9.

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Answer:k1/4+k3

k3 1/4

Step-by-step explanation:

Answer:

[tex]V=\pi r^2h\\V=\pi(5)^2(10)\\V=\pi(25)(10)\\V=250\pi\\V=785.4[/tex]

Estimated

Step-by-step explanation:

Answer:

150π in^2

Step-by-step explanation:

The surface area of cylinder is calculated by 2πrh+2πr2 (r: radius, h : height)

2π×5×10 + 2π×5^2 = 150π in^2

Answer:

Step-by-step explanation:

Answer:15-20 ft

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

The volume of a cone is 1/3*pie *r^2 * h whereas the volume of a cylinder is pie*h*r^2 which means that if the height and radius are the same the volume of the cone is 1/3 of the cylinder thus you need 3 cones to fill the cylinder.

Final answer:

The y-intercept represents the fixed cost of the party, while the slope signifies the variable cost per guest.

Explanation:

The y-intercept represents the one-time fee that Alice has to pay for her birthday party at the game center, which is $100.

The slope of $20 per guest indicates the additional cost incurred for each guest that attends the party.

In the equation y = 20x + 100, 'y' represents the total cost of the party, 'x' represents the number of guests, the y-intercept is the fixed cost, and the slope is the variable cost per guest.

The whale is 24.54 feet away from the shoreline.

Step-by-step explanation:

Step 1:

The man is 200 feet from the ground and the angle at which he sees the whale is 7°.

So a right-angled triangle can be formed using these measurements. The angle of the triangle is 7° while the opposite side of the triangle measures x feet while the adjacent side of the triangle measures 200 feet.

We need to find the opposites side's length of the triangle.

Step 2:

Since we have the length of the adjacent side and need to calculate the length of the opposite side we use the tan of the given angle.

The opposite side of the triangle = x feet.

[tex]\tan \theta = \frac{opposite side}{adjacent side} , tan (7) = 0.1227,[/tex]

[tex]tan(7)=\frac{x}{200}, x = 0.1227 (200) = 24.54 feet.[/tex]

So the whale is 24.54 feet away from the shoreline.

To find the distance of the whale from the shoreline, set up a right triangle, use the observation tower height as one side, and apply the tangent function to the 7-degree angle of depression.

To determine how far the whale is from the shoreline, we can use trigonometry, specifically the tangent function, since we have the height of the observation tower and the angle of depression. The angle of elevation from the whale to the top of the tower would also be 7 degrees. By setting up a right triangle with the observation tower as one side, the line of sight to the whale as the hypotenuse, and the distance from the whale to the base of the tower (along the shore) as the other side, we can solve for the distance to the whale using the tangent function.

The formula to use is:

Step-by-step solution:

The distance to the whale from the base of the tower is approximately 1,630.49 feet from the shoreline (considering tan(7°) = 0.12278).