MATHEMATICS MIDDLE SCHOOL

Find the value of b and cPLEASE SHOW WORK!

b(3xx^(2)-2x+c) = 9x^(2) - 6x+15

Answers

Answer 1
Answer:

Answer:

b=3

c=5

Step-by-step explanation:

b(3x^{2}-2x+c) = 9x^{2} - 6x+15

Distribute

3b x^2 -6x +bc = 9x^2 -6x +15

Each term must be equal

3bx^2 = 9x^2

3b = 9

Divide by 3

3b/3 = 9/3

b =3

bc = 15

3c =15

Divide by 3

3c/3 = 15/3

c =5

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What is the distance in miles, between Joe's home and the park? Round answers to the nearest tenth

Answers

You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse. 

Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are. 

2 - (-1) = 3
3 - 1 = 2

Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
= √(13) = c

The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.

Final answer:

Without specific data, we cannot provide a distance in miles between Joe's home and the park. However, note that distance measurements can be converted from kilometers to miles using the conversion factor 1 mile = 1.61 km. Ensure to round off figures to the nearest tenth for precision and accuracy.

Explanation:

Unfortunately, the question does not provide enough information to determine the distance in miles between Joe's home and the park. However, we can discuss generally how you might find out such information. For instance, if you have the distance in kilometers, you can convert it to miles using the conversion factor 1 mile = 1.61 km. So to convert kilometers to miles you divide the distance in kilometers by 1.61.

Remember when dealing with distance, you should also pay attention to the precision and accuracy of the measurements you make. Round off these numbers to the nearest tenth as directed in the question for clarity and ease of comprehension.

Learn more about Distance Conversion here:

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Anusha needs to find a rectangular container large enough to hold a volume of 130 in.3. Which container should she use?A. a container with the dimensions 2 by 5 by 10 inches

B. a container with the dimensions 3 by 4 by 10 inches

C. a container with the dimensions 3 by 5 by 10 inches

D. a container with the dimensions 4 by 2 by 10 inches


PLEASE HELP!!

Answers

Option C

Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches

Solution:

Anusha needs to find a rectangular container large enough to hold a volume of 130 cubic inches

The volume of rectangular container is:

volume = length * width * height

Option A

Container with the dimensions 2 by 5 by 10 inches

Therefore, volume is given as:

Volume = 2 * 5 * 10 = 100

Thus volume is 100 cubic inches

Option B

Container with the dimensions 3 by 4 by 10 inches

Therefore, volume is given as:

Volume = 3 * 4 * 10 = 120

Thus volume is 120 cubic inches

Option C

Container with the dimensions 3 by 5 by 10 inches

Therefore, volume is given as:

Volume = 3 * 5 * 10 = 150

Thus volume is 150 cubic inches

Option D

Container with the dimensions 4 by 2 by 10 inches

Therefore, volume is given as:

Volume= 4 * 2 * 10 = 80

Thus volume is 80 cubic inches

Thus Container with the dimensions 3 by 5 by 10 inches has a volume of 150 cubic inches, which is large enough to hold a volume of 130 cubic inches

Answer:C. a container with the dimensions by 5 by 10 inches

If (a,b) is the center and r is the radius of the circle defined by the parametric equationswhat is the value of a+b+r ?
x= 10cos 3t, y= 10sin 3t 0≤t≤ 2pi
This is a bonus problem it is extremely difficult

Answers


Those particular parametric equations generate a circle with its
center at the origin (0, 0).  So ' a ' and ' b ' are both zero.

The (radius of the circle)² is (10² + 10²) = 200

Radius = √200

So (a + b + r) = √200 .  ( about 14.1421 )

The significance of the ' 3t ' in the argument of the 'x' and 'y' is just that as
't' goes from zero to 2π , the parametric equations draw the circle 3 times.

What is the answer to 20*K<3

Answers

20*K < 3
⇒ K < 3/20

The final answer is K < 3/20~

What’s the volume of this rectangular prism? base 1/5cm height 10/3cm length 4/5cm

Answers

Answer:

53/100cm^2 (0.53cm^2)

What decimal is represented by this expanded form?5 x 10,000 + 3 x 1,000 + 2 x 10 + 8 x 1 + 6 1/1,000 + 4 x 1/,000

Answers

5 x 10,000 + 3 x 1,000 + 2 x 10 + 8 x 1 + 6 (1)/(1000) + 4 x (1)/(1000)

you want to make the 6 (1)/(1000) into a whole number:
6 (1)/(1000) = 6.001

new equation:
5 x 10,000 + 3 x 1,000 + 2 x 10 + 8 x 1 + 6.001 + 4 x (1)/(1000)
50,000 + 3 x 1,000 + 2 x 10 + 8 x 1 + 6.001 + 4 x (1)/(1000)
50,000 + 3,000 + 2 x 10 + 8 x 1 + 6.001 + 4 x (1)/(1000)
50,000 + 3,000 + 20 + 8 x 1 + 6.001 + 4 x (1)/(1000)
50,000 + 3,000 + 20 + 8 + 6.001 + 4 x (1)/(1000)
50,000 + 3,000 + 20 + 8 + 6.001 + .004
53,000 + 20 + 8 + 6.001 + .004
53,020 + 8 + 6.001 + .004
53,028 + 6.001 + .004
53,034 + .004
=53,034.005
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HHHEEELLLPPP!!!! MY ENTIRE SUMMER DEPENDS ON THIS!!IF YOU CAN’T LEGITIMATELY ANSWER, DON’T BOTHER EVEN TRYING.Test to see how many boxes of Lucky Chocolate Oat Crunch need to be purchased to collect all eight dinosaurs. Use the spinner provided to simulate the purchase of the cereal boxes. Each time the spinner is spun, it represents the purchase of one cereal box. As you spin, you will need to keep track of your results. You will use the results to compute the experimental probability, which you will compare with the theoretical probability. Use the spinner below to determine how many boxes of cereal you might need to purchase to collect all eight dinosaurs. Continue until the spinner has landed on each dinosaur once. Be sure to stop spinning once the spinner has landed on each dinosaur one time.  Each number on this spinner represents a different dinosaur. You need to complete the simulation three times. That is, after each dinosaur has been spun one time, record your results. Then, create a new chart for the next set of results. When you are finished, you will have three sets of data that will most likely not match. (ALREADY COMPLETED THIS PART, THE CHARTS ARE BELOW)Use all three sets of data to answer the following questions in complete sentences. For this exercise, the probabilities refer to the probability of getting any one dinosaur when making any one purchase. You do not need to determine the probability of the compound event of getting all eight of the dinosaurs. Make sure to have all three simulations done to help you answer these questions in the writer's box:(NEED HELP WITH THIS. ANSWERED A FEW ALREADY, NEED HELP WITH THE ONES SHOWN)1. How does the number of spins correlate to the number of boxes of cereal that you would need to purchase?2. What was the experimental probability for EACH dinosaur from Trial 1? Trial 2? Trial 3?3. How does the experimental probability of getting each dinosaur differ from the theoretical probability? Here, you are comparing the experimental vs. theoretical probability of getting each type of dinosaur in a single purchase. In other words, you are determining the probability for a single event, not a compound event.4. If someone bought eight boxes of cereal and got all eight dinosaurs, would you be surprised? Why or why not?5. How did the experimental probabilities change between the trials?6. What are the advantages of using a simulation versus actually buying boxes of cereal?