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AURORKA [14]
3 years ago
5

A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current leve

l. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 2x. How many points will a player need on the hardest setting of level 5?
A) 10
B)160
C)1600
D)16000
Mathematics
2 answers:
REY [17]3 years ago
8 0
I'm pretty sure C , but not 100%
Len [333]3 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

The given functions are

g(x)=10(2)^{x-1}

h(x)=2x

It is given that the point needed for next level is defined by the function g(x) and hardest setting promises to multiply the points needed in each level according to the function h(x) .

The total points will a player need on the hardest setting of level 5 are

g(5)\times h(5)=10(2)^{5-1}\times 2(5)

g(5)\times h(5)=10(2)^4\times 10

g(5)\times h(5)=10(16)\times 10

g(5)\times h(5)=160\times 10

g(5)\times h(5)=1600

Therefore the total points will a player need on the hardest setting of level 5 are 1600 and option C is correct.

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Amy uses two thirds of a yard fabric for each pillow she makes how many yards of fabric will she need in order to make 8 pillows
Aneli [31]
2/3 yard= 1 pillow

To find the total yards needed for 8 pillows, multiply 2/3 yard per pillow by 8 pillows.

= 2/3 * 8
multiply numerators; multiply denominators

= (2*8)/(3*1)

= 16/3
convert to a mixed number

= 5 1/3 yards needed


ANSWER: 5 1/3 yards is needed to make 8 pillows.

Hope this helps! :)
8 0
3 years ago
Letp,qandrbe the propositions such that,p:"You get an A on the final exam"q:"You do every exercise in this book"r:"You get an A
Zanzabum

Answer:

a) r→q

b) r→p

c) r→p

d) r→ p∧q

e) r→ p∨q

Step-by-step explanation:

Using logical connectives, as shown in the picture below, we can write all of the statements of the question.

p:"You get an A on the final exam"

q:"You do every exercise in this book"

r:"You get an A in this class"

a) r→q

b) r→p

c) r→p

d) r→ p∧q

e) r→ p∨q

6 0
2 years ago
What is:<br> <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4x%5E%7B2%7D%20-20x%2B25%20" id="TexFormula1" title=" \sqrt{4x^{2} -
Firdavs [7]

We are given :

\sqrt{4x^{2}-20x+25}

Step 1: factor the part inside square root

The function given inside square root is of quadratic form.

So let us try to factorise it using AC method.

Here A*C = 4*25 = 100

so we have to find factors of 100 that add up to give -20.

the two factors are -10 and -10.

Rewriting the function :

4x^{2} -20x+25

=4x^{2} -10x-10x+25

=2x(2x-5) - 5(2x-5)

=(2x-5)^{2}

Step 2:

Now we take square root of the factorised form

\sqrt{(2x-5)^2}

= 2x-5

Answer : (2x-5)

3 0
3 years ago
What’s the correct answer for this?
Lynna [10]

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

6 0
3 years ago
A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in ho
Ede4ka [16]

Solution:

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in {30}_C_6 ways.

{30}_C_6=\frac{30!}{6!24!}\\&#10;\\  {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\&#10;\\  {30}_C_6=593775

Hence the required number of ways is 593775.

7 0
2 years ago
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