MATHEMATICS HIGH SCHOOL

Sam's hourly wage increased from $10 an hour to $20 an hour. What is thepercent increase of her hourly wage? (Round to the nearest whole number)
A) 150%
B) 200%
C) 100%
D) 50%

Answers

Answer 1
Answer: I think it’s 100%......

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For a trapezoid with a height of 7 centimeters and base lengths of 6 centimeters and 10 centimeters, the area is

Answers

\bf \textit{area of a trapezoid}\n\n A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\n h=height\n[-0.5em] \hrulefill\n a=6\n b=10\n h=7 \end{cases}\implies A=\cfrac{7(6+10)}{2} \n\n\n A=\cfrac{7(16)}{2}\implies A=7(8)\implies A=56

Answer:

56

Step-by-step explanation:

A=(1)/(2) (b1+b2)h\n

A=(1)/(2) (6+10)7

A=(1)/(2) (16)7

A=8*7

A=56

The constants a, b, and c are positive. Solve the inequality for x.

ax-b is less than c

Answers

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ax - b < c

Add sides b

ax - b + b < c + b

Simplification

ax < b + c

Divide sides by a

(a)/(a) x < (b + c)/(a) \n

x < (b + c)/(a) \n

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Multiply: (4x – 7)(2x – 9)

Answers

Hello there!


Let's use foil.

First: 4x * 2x = 8x^2

Outside: 4x * -9 = -36x

Inside: -7 * 2x = -14x

Last: -7 * -9 = 63


Now, let's combine these.

8x^2 - 36x - 14x + 63

Finally, we can simplify this

8x - 50x + 63



I hope I helped!

Let me know if you need anything else!

~ Zoe

State whether the conclusion shown below could be reached using coordinate methods. Give a reason for your answer. a. yes; same slope
b. no; may not have intersection point
b
c. yes; product of slopes = –1
d. no; may need angle measures

Answers

State whether the conclusion shown below could be reached using coordinate methods. no; may not have intersection point. The answer is letter B

Find an equation of the tangent line to the circle x^2 +y^2=24 at the point (-2 square root 5, 2).

Answers

Circle:\n(x-a)^2+(y-b)^2=r^2\n\nPoint:\nP(x_P;\ y_P)\n\ntangent\ line\ to\ the\ circle:\n\nk:(x_p-a)(x-a)+(y_p-b)(y-b)=r^2


Circle:\nx^2+y^2=24\n\ncenter\ of\ circle:S(0;\ 0)\n\nradius:r=√(24)\n\nPoint:P(-2\sqrt5;\ 2)

tangent\ line\ to\ the\ circle:\n\nk:(-2\sqrt5-0)(x-0)+(2-0)(y-0)=(√(24))^2\n\n-2\sqrt5x+2y=24\n\n2y=2\sqrt5x+24\ \ \ \ /:2\n\ny=\sqrt5x+12-answer

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.

Learn more about Exponential Growth Rate here:

brainly.com/question/32417602

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