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2 years ago

13

The following week they gave another exam. Tina knows she can grade 60 exams in 2 hours

1 answer:

Stella [2.4K]2 years ago

6 0

Answer:

1 1/6 hours

Step-by-step explanation:

Add them together 2 + 1.5 = 3.5

Multiply them together 2 x 1.5 = 3

Take first number and divide by 2nd 3.5 / 3 = 7/6 or 1 1/6 hours

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What is the next term in the sequence?

-Dominant- [34]

Answer: 51

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

G(x) = 6 - 2x<br> Find g(-4).

sergeinik [125]

Answer:

$\huge \boxed{g( - 4) = 14}$

Step-by-step explanation:

$g(x) = 6 - 2x$

To find g(-4) , substitute the value of x that's - 4 into g(x). That is for every x in g(x) , replace it with - 4

We have

$g( - 4) = 6 - 2( - 4) \\ = 6 + 8 \\ = 14 \: \: \: \: \:$

We have the final answer as

<h3>g(-4) = 14</h3>

Hope this helps you

5 0

3 years ago

Which equation describes this line (1,10) (-3,2)

zubka84 [21]

Find the slope first:
m=y2-y-1/x2-x1

m=2-10/-3-1
m= -8/-4
m= 2

Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b

Rewrite the equation with your slope &intercept:

y=2x + 8

That's ^ the equation that describes your line!

6 0

3 years ago

After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i

Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ( $V$ ) is calculated by:

$V = \frac{4\pi}{3}\cdot R^{3}$

Where $R$ is the radius of the tumor.

The percentage decrease in the volume of the tumor ( $\%V$ ) is expressed by:

$\%V = \frac{\Delta V}{V_{o}} \times 100\,\%$

Where:

$\Delta V$ - Absolute decrease in the volume of the tumor.

$V_{o}$ - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

$\Delta V = V_{o}-V_{f}$

$\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})$

The percentage decrease is finally simplified:

$\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%$

Given that $R_{o} = R$ and $R_{f} = 0.77\cdot R$ , the percentage decrease in the volume of tumor is:

$\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%$

$\%V = 54.34\,\%$

The volume of the tumor experimented a decrease of 54.34 percent.

5 0

3 years ago