Which two numbers should be placed in the blanks below so that the difference between consecutive numbers is the same? 19,_,_55

Answers

Answer 1

Answer: numbers is the same? 17,_,_,41 i think

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What is the inverse function of d(x)= 2x-4

Answers

Formula for inverse function:
$d^(-1)(y)=?\ny=2x-4\n2x=y+4\nx= (y+4)/(2)\n d^(-1)(y)= (y+4)/(2)$

$y=2x-4 \n Replace \ x \ by \ y:\n x=2y-4\n Isolate \ y:\n 2y=x+4\n y=(x+4)/(2)\n \n \boxed{d^(-1)(x)=(x+4)/(2)}$

Is 5mi bigger or 26,300 ft

Answers

5 mi = 26400 ft.

5 mi is bigger by 100 ft.

~Evie

Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

Answers

$(sec(\beta)-1)/(1-cos(\beta))=sec(\beta)$

we know that

$sec(\beta)=(1)/(cos(\beta))$

then, lets replace it

$((1)/(cos(\beta))-1)/(1-cos(\beta))=(1)/(cos(\beta))$

multiple each member by $cos(\beta)$

$(1-cos(\beta))/(1-cos(\beta))=1$

simplifying

$1=1$

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side. By simplifying the expression step by step and using trigonometric identities, we can show that the given equation is true.

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side.

Start by finding the common denominator of the fractions on the left side, which is cos(beta).
The expression becomes (sec(beta) - 1)/cos(beta).
Next, simplify the numerator: sec(beta) - 1 = (1/cos(beta)) - 1 = (1 - cos(beta))/cos(beta).
Substituting this back into the original expression, we have (1 - cos(beta))/cos(beta) / cos(beta).
Simplify further by multiplying the numerator and denominator by cos(beta) to get (1 - cos(beta))/(cos^2(beta)).
Using the identity sec^2(beta) = 1 + tan^2(beta), we rewrite cos^2(beta) = 1 - sin^2(beta) as 1/(1 - sin^2(beta)).
Therefore, (1 - cos(beta))/(cos^2(beta)) = (1 - cos(beta))/(1 - sin^2(beta)) = sec(beta).

Thus, we have verified that sec(beta) - 1 / cos(beta) = sec(beta).

Learn more about trigonometric here:

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A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

Answers

I believe it would be 12, I believe this because its states that it is TWICE as long therefore is made from the same metal so 6x2=12

Which of the following pair of times has an elapsed time of 3 hours and 20 minutes between the times?3:20 to 6:00
8:40 to 12:00
6:30 to 9:20
5:50 to 8:10

Answers

8:40 to 12:00, 3 hours and 20 minutes has elapsed.

A company made a profit of $25,000 over a period of 5 years on an initial investment of $10,000. What is its annualized ROI?

Answers

Given:
Initial Investment = 10,000
Total profit = 25,000
Total number of years = 5 years

Return on Investment = Gain from Investment - Cost of Investment
cost of investment

ROI = (25,000 - 10,000) / 10,000 = 15,000/10,000 = 1.5 x 100% = 150%

ROI = 150% ÷ 5 years = 30% per year.

Answer:

50% I got it right on the test

Step-by-step explanation:

The profit was 25,000, not the final amount. So, you have to add that 25,000 to the 10,000

ROI: (35,000 - 10,000) / 10,000 * 100 = 250%

annualized ROI: 250% / 5 years = 50%

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