f (x) = -3x – 4.
f (2/3)=

Answer:

A) 40

B) 10

Step-by-step explanation:

A) ⅓×pi×2.5²×8 = 50/3 pi

660pi ÷ 50pi/3 = 39.6

So 40 scoops

B) ⅓×pi×5²×8 = 200pi/3

660pi ÷ 200pi/3 = 9.9

So 10 scoops

Answer:

4074

Step-by-step explanation:

Answer:

23pi, or approx. 72.27

Step-by-step explanation:

circumference = 2(pi)r, or 2d

pi = approx. 3.14, r = radius, and d = diameter

You are given diameter, so all you have to do is multiply 23 feet by pi.

The circumference of the clock face of is 72.1 feet or 23π.

Given that the diameter of the clock face is 23 feet.

To calculate the circumference of the clock face, use the the following formula:

The value of π is approximately 3.14159.

Circumference = 2πr

In the formula r is the radius.

Since, the diameter is 23 and the radius is half of the diameter.

Thus, the radius r is 11.5.

Further, calculate the circumference:

Circumference = 2 × 3.14159 × 11.5

Circumference ≈ 72.08357

Circumference ≈ 72.1 feet

Therefore, the circumference of the clock face is 72.1 feet.

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Answer:

58

Step-by-step explanation:

The sum of the exterior angles ALWAYS measures 360 degrees, meaning that 90+38+3x+x = 360

This means that 128 + 4x =360, meaning that 4x = 232.

That makes x = 58

To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees. So, solving the equation 90 + 38 + 3x + x = 360 will give us the value of x, which is 58.

To find the value of x, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.

So, we have the equation:

90 + 38 + 3x + x = 360

Combine like terms:

4x + 128 = 360

Subtract 128 from both sides:

4x = 232

Divide by 4:

x = 58

Therefore, the value of x is 58.

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Answer:

This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.

Step-by-step explanation:

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

⇒ x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°

Answer:2.375

Step-by-step explanation:

1 and 1/8 =(1×8+1)/8=9/8

1 and 1/4 =(1×4+1)/4=5/4

9/8+5/4=9/8+10/8=19/8=2.375

Answer: 2.375

Answer:

$770.60

Step-by-step explanation:

Simple interest is the same amount every year.

So first you work out 10%, then 5%, and then 1% which then you x3 to get 3%

10% = 72

5% = 36

1% = 7.2

3% = 14. 6

you then add together the 5% and the 3% to get the simple interest, which is

50.6

then you add the simple interest and the money she borrowed and that is your answer

720 + 50.6 = 770.60

Answer:

$900

Step-by-step explanation:

Answer:

3m

Step-by-step explanation:

You can check

3m(4+x)

12m+3mx

see

and its gcf because inside () has no common factors

Answer:

3m(4+x)

Step-by-step explanation:

Answer:

0.06

Step-by-step explanation:

6 is 6.0 and 0.06 times 100 is 6.

Answer:

0.06

Step-by-step explanation:

if you times 0.06 by 10 it is 0.6

if you times it by 100 it is 6

Answer:

To the nearest cent, Christopher will earn $ 0.13 in 3 years

Step-by-step explanation:

Let's recall that the formula of the compounded interest is:

A = P * (1 + r/n)^nt, where

A = Future value

P = Initial deposit

r = Interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Replacing with the values we know:

A = P * (1 + r/n)^n

A = 1 * (1 + 0.1/1) ³°¹

A = 1 * 1.1³

A = 1 * 1.1331

A = 1.13

Interest = Future value - Initial deposit

Interest = 1.13 - 1

Interest = 0.13

Answer: Account might need to be reactivated since it is an old account and the sum on the cheque is larger than usual deposit

2) since it is a cheque deposit and the amount is larger than usual deposit, the bank teller will need to make neccessary confirmation from the cheque owner.

Step-by-step explanation:

Funds from a deposited check may not be available on the day of deposit due to processing times for verifying funds, anti-fraud measures for large or irregular deposits, and the clearing process required for checks drawn on different banks.

Funds from a deposited check may not be available on the day of deposit for a number of reasons. One common reason is due to the processing time that is required for the bank to verify the funds from the issuing account. When an individual makes a deposit, the bank needs to ensure that the payer's account has sufficient funds to cover the check. This process can take several business days, especially if the check is drawn on a different bank or financial institution.

Another reason why funds might not be immediately available is due to anti-fraud measures. Banks often hold larger than usual deposits or checks from new accounts for additional scrutiny to prevent fraud. This hold allows the bank to time to confirm the legitimacy of the check before making the funds available to the depositor.

Finally, if both the issuing and receiving account are at the same bank, a simple internal account transfer can occur with no need for an actual movement of physical funds. However, if the banks are different, checks typically go through a clearing process, which might involve an intermediary such as a Clearing House, where the checks are offset against each other and only the net balances are settled. This systematic arrangement usually results in a delay before the deposited funds are available to the account holder.

Answer:

Please add images.

Step-by-step explanation:

Answer:

The student is wrong, the total area = 16 ft² + 20 ft²

Step-by-step explanation:

See the attached figure.

The shown figure is a composite area of:

1) A rectangle with length of 8 ft and width of 4 ft

2) A triangle of base (8 - 4 = 4ft) and height of ( 6 - 4 = 2 ft)

The area of the rectangle = length x width = 8 * 4 = 32 ft²

The area of the triangle = 0.5 base x height = 0.5 * 4 * 2 = 4 ft²

So, the total area = 32 + 4 = 36 ft²

OR

The figure can be consists of :

1) A square of side length of 4 ft

2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)

So,

The area of the square = 4 * 4 = 16 ft²

The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²

So ,the total area = 16 + 20 = 36 ft²

So,

The student is distracted, he finds the area of total rectangle of sides 8 and 6 ft, he should subtract from it the area of the trapezoid of height 2 ft and bases of 4 and 8 ft

So, the student is wrong

The formula for the area of triangles is lwh × 1/2.

Multiply the length by the width, height, and then by 1/2.

1.1 × 3.8 × 0.5 = 2.09

Since both triangles are equal, both triangles area will be the same, 2.09.

Now multiply the are by 2.

2.09 × 2 = 4.18

The area of the shaded areas equals 4.18in.

Answer:

x

Step-by-step explanation:

x

Answer:

-6

Step-by-step explanation:

khan academy

Answer:

  41

Step-by-step explanation:

If your equation is what it appears, we can put 3 where x is and do the arithmetic:

  12·3 +5 = 36 +5 = 41

The family spent 41 to attend the game.

Step-by-step explanation:

Measure of each interior angle of 28 sided polygon

[tex] \frac{(28 - 2) \times 180 \degree}{28} \\ \\ = \frac{26 \times 180 \degree }{28} \\ \\ = \frac{4680 \degree }{28} \\ \\ = 167.14\degree \\ [/tex]

The measure of each interior angle of a regular 28-gon is 167.14 degrees.

The measure of each interior angle of a regular 28-gon can be calculated using the formula:

Interior Angle = (n-2) * 180 / n

Substitute n = 28 into the formula:
Interior Angle = (28 - 2) * 180 / 28 = 24 * 180 / 28 = 167.14 degrees

For the given figure;

Perimeter = 41 cm and

Area = 49.5 cm².

Step-by-step explanation:

Step 1; The given figure consists of a rectangle and a triangle. The rectangle's length is 6 cm and the rectangle's width is 7 cm. The triangle's base is 6 cm long while its height is 2.5 cm and the third side measures 6.5 cm.

Step 2; The figure's area = The rectangle's area + The triangle's area.

The rectangle's area is given by multiplying the rectangle's length with the rectangle's width. The area of the rectangle = 7 × 6 = 42 cm².

The area of a triangle is given by multiplying [tex]\frac{1}{2}[/tex] with the product of the triangle's base and height. The area of the rectangle = [tex]\frac{1}{2}[/tex] × 6 × 2.5 = 7.5 cm².

The figure's area = 42 + 7.5 = 49.5 cm².

Step 3; The figure's perimeter = The perimeter of the rectangle + the perimeter of the triangle.

The rectangle's perimeter is 2 times the sum of the length and width. The perimeter of the rectangle = 2 × (6 + 7) = 2 × 13 = 26 cm.

The perimeter of a triangle is the sum of all the three side lengths.

The area of the triangle = 6 + 2.5 + 6.5 = 15 cm.

The perimeter of the figure = 26 + 15 = 41 cm.

Answer:

3

Step-by-step explanation:

[tex]m = \frac{y}{x} = \frac{7 - 1}{6 - 4} = \frac{6}{2} = 3[/tex]

Step-by-step explanation:

trust me its b i got it right

Answer:

y = -3x²

Is a concave down with a maximum turning point at (0,0)

y = ⅓(x²)

Is a concave up with a minimum turning point at (0,0)

Answer:

Both are parabolas but one is concave up,while the other is concave down as you can see fro the graphs.They also both intersect at the origin

Answer:

p-3

Step-by-step explanation:

3 fewer would be -3

So it would be p-3

Answer: 3<p

Step-by-step explanation:

3 is fewer than (<) p

hope it helps please give brainliest!

Answer:

They intersect at (-4.5, 4.25)

Assuming you can graph them, just put the equations in your calculator or graphing software and find the intersection, next time.

Answer:

2/3   or 0.6

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

Solution:

Given function:

[tex]g(x)=\left\{\begin{array}{ll}-\frac{1}{3} x^{2}+4 & \text { if } x \neq-2 \\3 & \text { if } x=-2\end{array}\right.[/tex]

Substitute x = –4 in g(x), we get

[tex]$g(-4) =- \frac{1}{3}(-4)^2+4[/tex]

          [tex]$=- \frac{16}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

          [tex]$=- \frac{16}{3}+\frac{12}{3}[/tex]

[tex]$g(-4)=- \frac{4}{3}[/tex]

It is given that, if x = –2, then g(x) = 3

Therefore g(–2) = 3

Substitute x = 2 in g(x), we get

[tex]$g(2) =- \frac{1}{3}(2)^2+4[/tex]

       [tex]$=- \frac{4}{3}+4[/tex]

To make the denominator same, multiply and divide the 2nd term by 3.

       [tex]$=- \frac{4}{3}+\frac{12}{3}[/tex]

[tex]$g(-2)= \frac{8}{3}[/tex]

The value of [tex]g(-4)=\frac{-4}{3}, \ g(-2)=3 \ \text{and} \ g(2)=\frac{8}{3}[/tex] .

Answer:32

Step-by-step explanation:

add 10 + 10 + 6 + 6 = 32

Answer:

7/1 - 1/8= 6[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Answer:

6.87500

Step-by-step explanation:

Alexa has 5 grapes. She went to the store and bought 4 times a number. When she counted the grapes, she had 37 grapes in total.

When you make a word problem with this, you will get 4x+5=37