What is the value of the expression? -3+7*(-4)

A.–31

B.–16

C.16

D.31

Answers

Answer 1

Answer: $-3+7*(-4) = \n \n -3-28 \n \n =-31 \n \n \text{The answer is A.-31}$

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If an item weighs 45 kilograms, what is its weight in pounds?

Solve the equation: 6x - 4 + 2(5x + 2) = 16x*1.) 0
2.) 1
3.) -2
4.) Infinitely Many
5.) No Solution

Answers

The answer is that there is no solution.

The problem would be 16x = 16x so there is no solution.

The two legs (shorter sides ) if a right angle triangle have lengths of 15 cm and 8 cm respectively. Determine the length of the largest third side (to the nearest cm).

Answers

By Pythagoras theorem,
h^2=a^2+o^2
Longest side is the same as the hypotenuse (h)
h^2=8^2+15^2
h^2=64+225
h^2=289
Square root both sides
h=17 cm

Verify the identity:

cos(a+B)/cos a sin B = cot B -tan a

Answers

cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;

At the beginning of this month, the balance of Esmeralda's checking account was $1023.49. So far this month, she has received a paycheck via direct deposit of $778.98, been charged a monthly service fee from her bank of $18, used a debit card linked to her account to make a purchase of $51.27, written a check for $388.63 that has already been deposited, and deposited a check written to her for $102.76, all in that order. Esmeralda wants to know the current balance of her account. (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 1 point; Part V – 1 point)

Answers

Answer:

$1447.33

Step-by-step explanation:

Part I

$1023.49 + &778.98

= $1802.47

Part II

$1802.47 - $18

= $1784.47

Part III

$1784.47 - $51.27

= $1733.20

Part IV

$1733.20 - $388.63

= $1344.57

Part V

$1344.57 + $102.76

= $1447.33

Simplify.5 – [–(–2)]

A.
–3

B.
3

C.
–7

D.
7

Answers

5- [-(-2)]
5-2
3

Final Answer: B:3

The answer is A. three because
[-(-2)] makes a positive 2 (because a negative times a negative equals a positive) then subtract the positive 2 from 5 equals positive 3.

A country’s population doubled in 45 years. what was the exponential growth rate

Answers

Final answer:

The exponential growth rate is approximately 1.56% per year for a population to double in 45 years.

Explanation:

To calculate the annual growth rate for a population that doubles in a specific time period, we can use the rule of 70, which is a formula for estimating the time it takes for an investment or population to double given a constant growth rate. The rate of growth (r) can be calculated as r=70/t, where t is the time in years.

In this case, the country's population doubled in 45 years. So, the annual growth rate would be r=70/45

= 1.56%.

Therefore, the exponential growth rate that caused the country's population to double in 45 years is approximately 1.56% per year.