Find the third, fifth, and tenth terms of the sequence described by the rule.A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)
Find the third, fifth, and tenth terms of the sequence - 1

Answers

Answer 1
Answer: A(3)= 6
A(5)= -19
A(10)= -49

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Simplify the expressing by combining like terms 1 + 3x - 8x + 7​
The Waist to Hip Ratio (WHR) is a ratio, commonly expressed as a decimal that has been shown to be a good predictor of possible cardiovascular problems in both men and women. If a male has a WHR greater than 1, he is considered to be at high risk for cardiovascular problems. Calculate the WHR of a male with a waist measurement of 40 inches and a hip measurement 2 inches less.

Given that cos42° is simpler to 0.743, What is the sine of the complementary angle?

Answers

The cos of an angle and the sine of its complement are the same number.
Spend a couple of minutes looking at a right triangle, and reviewing the definitions of sin and cos, and you'll see why.
cos(42)=sin(90-42)

So in this case:

cos(42)=sin(48)

As:

A complementary angle is either of two angles whose sum is 90 degrees. {Source: Google}

Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.
B) números racionais maiores que -7/8 e menores que -3/4

Answers

A números irracionais maiores que 3,5 é menores que 3

Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?

Answers

Answer:

1.17*10^14 km

Step-by-step explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

x^2 + 3397^2 = (3397 + 25)^2\n\n

x^2 + 11539609 = (11710084)^2\n\nx^2 + 11539609 = (11710084)^2\n\nx^2=  (11710084)^2-11539609 \n\nx^2= 1.37*10^14-11539609 \n\nx^2=1.37*10^14\n\nx= √1.37*10^14\n\nx=1.17*10^14 km

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = StartFraction negative 7 Over 2 EndFraction. The graph intersects the y-axis at y = 49.

Answers

Answer:

b,d, and ,e

Step-by-step explanation:

on edge ;)

Answer:

The equation 2x+7=0 can be used to find a zero of the function. The graph intersects the y-axis at 49

Step-by-step explanation:

The other statements are not correct because since (2x+7)^2 gives the polynomial function y=4x^2 +28x + 49, there are "two" answers, but it is the sa,e answer of -7/2. The graph also does not have a double root at -7/2, that is the x-intercept

Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answers

The new average will be 89.55%.

What is an average?

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is given that,

Average score after 8 tests = 91%.

Therefore, Total score of 8 tests = Average score*Number of tests

Total score of 8 tests = 91*8

Total score of 8 tests = 728

Now, Cory scored 78% in 9th test,

So, Total score of 9 tests = Total score of 8 tests + 78

Total score of 9 tests =  728 + 78

Total score of 9 tests = 806

Hence, Average score of 9 test =  Total score of 9 tests/9

Average score of 9 test = 806/9

Average score of 9 test = 89.55%

Hence, the new average will be 89.55%.

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add all the scores together and the divided by the number of scores there are

8 tests will be 8x91 = 728 

Then add on his latest test result 728+78 = 806 

Now divide by the number of tests (9) 806/9 = 89.55555555 
89.555%

Factor completely 9x2 − 25.

Answers

The required, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

To factor completely the expression 9x² - 25, we can use the difference of squares formula, which states that:

a² - b²= (a + b)(a - b)

In this case, we can recognize that 9x² is the square of 3x, and 25 is the square of 5. Applying the difference of squares formula, we have:

9x² - 25 = (3x)²- 5²

Using the formula, we can factor it as:

(3x + 5)(3x - 5)

Therefore, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

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This is difference of 2 squares. 

Take the square root of 9 and 25 

(3x + 5) (3x - 5)