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Romashka [77]
4 years ago
9

TIME REMAINING

Mathematics
1 answer:
Valentin [98]4 years ago
8 0

WY = a = 4

ZY = b = 3

As WYZ is forming a right angle triangle, therefore, we can use pythagorean theorem to find the value of c

a2+b2=c2 (4)2+(3)2=C2 16+9=C2 C2=25

Taking square root on both sides

√c2= √25 c=5

The value of c is 5 units.

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Please help this is due at 11:59 and im really stuck.
natima [27]
Has form - last two
can be put in form - none
other - first four
8 0
3 years ago
Read 2 more answers
the average annual cost of heating a home woth solar energy is $200 with an inital cost of $9000. During the month of may, the s
Leona [35]

Answer: Discounted function will be

C(x)=6750+150t

Step-by-step explanation:

Since we have given that

Initial cost of solar energy = $9000

Average annual cost of heating a home with solar energy = $200

Rate of discount he received on the total cost = 25%

Let the number of year will be t

According to question, we need to write a discounted cost as a function of number of years.

So, our function becomes,

C(x)=\frac{100-25}{100}(9000+200t)\\\\C(x)=\frac{75}{100}(9000+200t)\\\\C(x)=0.75(9000+200t)\\\\C(x)=9000\times 0.75+200\times 0.75t\\\\C(x)=6750+150t

Hence, discounted function will be

C(x)=6750+150t

8 0
4 years ago
The equation of the line is y=0.11x + 14.21<br> What is the slope?
Dvinal [7]
Y=mx+b where m is slope. Since m = 0.11, the slope is 0.11
3 0
3 years ago
Given the function f ( x ) = 4 x 2 − 5 x + 7 f ( x ) = 4 x 2 - 5 x + 7 . Calculate the following values: f ( − 2 ) = f ( - 2 ) =
qaws [65]

Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

<h3>What are the output values of the given numbers in the function?</h3>

Given the function is the question;

  • f(x) = 4x² - 5x + 7
  • f(-2) = ?
  • f(-1) = ?
  • f(0) = ?
  • f(1) = ?
  • f(2) = ?

To determine the output value of f(-2), replace all occurrence of x with -2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-2) = 4(-2)² - 5(-2) + 7

f(-2) = 4×4 + 10 + 7

f(-2) = 16 + 10 + 7

f(-2) = 33

To determine the output value of f(-1), replace all occurrence of x with -1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-1) = 4(-1)² - 5(-1) + 7

f(-1) = 4×1 + 5 + 7

f(-1) = 4 + 5 + 7

f(-1) = 16  

To determine the output value of f(0), replace all occurrence of x with 0 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(0) = 4(0)² - 5(0) + 7

f(0) = 0 + 0 + 7

f(0) = 7  

To determine the output value of f(1), replace all occurrence of x with 1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(1) = 4(1)² - 5(1) + 7

f(1) = 4×1 - 5 + 7

f(1) = 4 - 5 + 7

f(1) = 6  

To determine the output value of f(2), replace all occurrence of x with 2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(2) = 4(2)² - 5(2) + 7

f(2) = 4×4 - 10 + 7

f(2) = 16 - 10 + 7

f(2) = 13

Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

Learn more about composite function here: brainly.com/question/20379727

#SPJ1

3 0
2 years ago
Evaluate the integral:
Bogdan [553]

Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then

∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt

… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt

… = 7 ∫ √(1 - sin²(t)) cos(t) dt

… = 7 ∫ √(cos²(t)) cos(t) dt

We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so

√(cos²(t)) = |cos(t)| = cos(t)

and the integral reduces to

… = 7 ∫ cos²(t) dt

Recall the half-angle identity for cosine:

cos²(t) = (1 + cos(2t))/2

Then the integral is

… = 7/2 ∫ (1 + cos(2t)) dt

… = 7/2 (t + 1/2 sin(2t)) + C

… = 7t/2 + 7/4 sin(2t) + C

Get the antiderivative back in terms of x. Recall the double angle identity for sine:

sin(2t) = 2 sin(t) cos(t)

We have t = arcsin(x/√7), which gives

sin(t) = sin(arcsin(x/√7)) = x/√7

cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7

Then

∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C

… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C

5 0
2 years ago
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