29 + 15x = -x - 3. Simplified

Answers

Answer 1

Answer: for this equation the answer is x= -2

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Evaluating Logarithms In Exercise, evaluate the logarithm without using a calculator.log4 1/64

Answers

Answer:-3

Step-by-step explanation:

Log4 1/64

=log4 4^-3

=-3

A cylinder has a height h, and a radius (3h-2)The area of the base is pi (3h-2)^2

The volume of the clinder is V= pi(3h-2)^2h

10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

Answers

Answer:

$V= 4\pi (9h^2 -12h + 4)$

Step-by-step explanation:

Given

Shape: Cylinder

$Radius = 3h - 2$

$Height = h$

$Base\ Area = \pi (3h - 2)^2$

Required

Simplify the volume

The volume is calculated as:

$Volume = Base\ Area * Height$

Substitute values for Base Area and Height

$V= \pi(3h-2)^2*h$

Expand the bracket

$V= \pi(3h-2)(3h-2)*h$

Open brackets

$V= \pi (9h^2 -6h - 6h + 4) *h$

$V= \pi (9h^2 -12h + 4) *h$

$V= 4\pi (9h^2 -12h + 4)$

A hat contains cards with different colors.Annabella randomly selects a card from
the hat and returns the card to the hat
after noting the color. After randomly
selecting a card 300 times, she has picked
a purple card 70 times. Based on her
results, what is the estimated probability
that Annabella selects a purple card?
A 7/37 B 7/30 C 7/23 D 23/30

Answers

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer:

Step-by-step explanation:

Purple-70/300=7/30

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game

Answers

Answer:

If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

Answers

Answer:

$LM = 13$

Step-by-step explanation:

Given

$MN = 5$

$LN = 18$

Required

$Find\ LM$

Since, M is between LN, we have:

$LN = LM + MN$

Substitute values for MN and LN

$18 = LM + 5$

Make LM the subject

$LM = 18 - 5$

$LM = 13$

A mother wants to invest $6000 for her children's education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $360, how much money was invested at each rate?

Answers

0.04x+0.07(6000-x)=360
0.04x+420-0.07x=360
0.04x-0.07x=360-420
−0.03x=−60
X=60/0.03=2,000 at 4%
6000-2000=4000 at 7%

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A and B and vertical angles. If A=(2x-10) and B= (x+8), find the measure of A