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3 years ago

The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply.

Mathematics

1 answer:

Firdavs [7]3 years ago

4 0

You are told to choose the choices equal to T(8). T(8) means that you need to find the possible ways to write the y-value when n = 8, since 8 is being substituted in for "n."

1) First, plug in n = 8 into the equation you're given, <span>T(n) = 4n - 5:
T(8) = 4(8) - 5
T(8) = 32 - 5
T(8) = 27

That is answer choice C, making choice C correct. You can eliminate choice B, since 27 </span>≠ 37.

2) Check answer choice A. Is T(5) + T(3) = 27? T(5) means you need to plug in 5 for n. T(3) means you need to plug in 3 for n.
T(5) + T(3)
= [4(5) - 5] + [4(3) - 5]
= [20-5] + [12-5]
= 15 + 7
= 22

Since 22 ≠ 27, you can eliminate choice A.

3) Check answer choice D. Is T(7) + 4 = 27? T(7) means you need to plug in 7 for n.
T(7) + 4
= [<span>4(7) - 5] + 4
</span>= [28 - 5] + 4
= 23 + 4
= 27

Since 27 = 27, answer choice D is also correct!

--------

Answer: Choice C (27) and Choice D (T(7) + 4)

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What does the word "isohyet" mean?

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3 years ago

Kam can make 72 cookies in 3 hours at his house, while Madison can make 120 cookies in 4 hours at her house. How long would it t

DIA [1.3K]

Answer:

The answer to your question is: 3.7 hours

Step-by-step explanation:

Kam can make 72 cookies/ 3 hours

Madison can make 120 cookies/4 hours

Time to make 200 cookies together = ?

First, calculate the number of cookies make per hour

Kam 72 ---------------- 3

x ---------------- 1 hour

x = 72/3 = 24 cookies/h

Madison

120 ------------- 4 hours

x --------------- 1 hour

x = 120 / 4 = 30 cookies

Now we write and equation where "t" will be time

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4 years ago

PLS ANSWER ASAP FIRST ONE TO DO SO GETS BRAINLIEST

Marta_Voda [28]

Answer:

Carmen can make $10\frac{5}{16}$ full servings.

Step-by-step explanation:

Given : Carmen mixes $3\frac{1}{2}$ cups of water with $3\frac{3}{8}$ cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = $3\frac{1}{2}+3\frac{3}{8}$

Solving , we get,

Total quantity of punch Carmen made = $\frac{7}{2}+\frac{27}{8}$

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = $\frac{28+27}{8}=\frac{55}{8}$

Also, given She pours $\frac{2}{3}$ cup servings of punch.

Thus, $\frac{2}{3}$ cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes $\frac{3}{2}$ serving cup.

$\frac{55}{8}$ cup makes = $\frac{3}{2}\times\frac{55}{8}$

$\frac{55}{8}$ cup makes = $\frac{165}{16}=10\frac{5}{16}$

Thus, She can make $10\frac{5}{16}$ full servings.

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3 years ago

Someone pls help me.

nydimaria [60]

I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!

3 0

3 years ago