Mathematics High School

The area of a rectangle is represented by the expression 6x^3y^5. Which of the following could be the dimensions of the rectangle?
2xy^2 and 3x^2y^3

2xy^2 and 4x^2y^3

2x^3y and 3y^4

2x^3y and 3xy^4

Answers

Answer 1
It's the first and third one... I just took the practice test.
Answer 2

Answer:a&c

Step-by-step explanation:

Related Questions

A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)​

Answers

the complete question in the attached figure

we  know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m

surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²

if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,5
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn

the answer is
5.12 x 10^42 barn


ank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?

Answers

Using the distributive property to obtain the product we shall have:
(y – 3)(y2 + 3y + 9) 
=y(y2 + 3y + 9) -3(y2 + 3y + 9) 
=y^3+3y^2+9y-3y^2-9y-27
putting like terms together:
y^3+(3y^2-3y^2)+(9y-9y)-27
=y^3+0y^2+0y-27
=y^3-27

From above bold expression the value of a is: a=9

What is the value of b?
Round your answer to the nearest tenth.
15.7 yd
24.1 yd
35.1 yd
36.2 yd
The figure shows acute triangle A B C. The measure of angle B is 34 degrees. The length of side A B is 28 yard. The length of side B C is 22 yard. The length of side C A is b.

Answers

Do do this problem, you need to use the Law of Cosines!

You are trying to find length b, so

b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards

Hope this helps!

Answer:

A. 15.7 yards.

Step-by-step explanation:

Please find the attached file.

We have been given that in triangle ABC, the measure of angle B is 34 degrees. The length of side AB is 28 yards and the length of side BC is 22 yards. The length of side CA is b.

We will use law of cosines to find the length of side 'b'.

[tex]c^2=a^2+b^2-2ab\times cos(C)[/tex]

Upon substituting our given values in above formula we will get,

[tex]CA^2=22^2+28^2-2\times 22\times 28\times cos(34^{\circ})[/tex]

[tex]CA^2=484+784-1232\times 0.829037572555[/tex]

[tex]CA^2=1268-1021.37428938776[/tex]

[tex]CA^2=246.62571061224[/tex]

Taking square root of both sides we will get,

[tex]CA=\sqrt{246.62571061224}[/tex]

[tex]CA=15.70432139929\approx 15.7[/tex]

Since the length of side CA is b, therefore, the value of b is 15.7 yards and option A is the correct choice.

Solve x2 + 10x + 12 = 36 for x. x = â12 or x = 2 x = â11 or x = 1 x = â2 or x = 12 x = â1 or x = 11

Answers

The answer is number A: â12 or x = 2

What’s the answer to question 13

Answers

The answer is choice C. There simply aren't enough games played at the end of April to determine how well or how badly a player is hitting. The sample size is too small. By the end of September, we have a much better idea. The larger the sample size, the better. 

Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?

Answers

To determine the similarity of the triangles, we shall use the proportionality of the corresponding sides:
DH/DE=DG/DF
thus
30/24=40/32
5/4=5/4
since the triangle shares the same angle ∠D, then we can conclude that the triangles are similar by side angle side (SAS) postulate

Answer:

DGH~DFE; SAS~

Step-by-step explanation:

A rectangle measures 12cm by 7cm. What is its area

Answers

12*7=84
The rectangle is 84cm
Area of a rectangle = width*length = 12*7=84 cm²

A ball is dropped from a height of 12 feet. Each time it bounces, it rebounds 3
4
of the distance it has fallen. How far will it rebound after the third bounce?
A) 0.75 feet
B) 5.0625 feet
C) 6.75 feet
D) 9 feet

Answers

Well the answer is D.9 feet

Final answer:

After calculating the rebound height for each bounce by multiplying the height from the previous bounce by 75%, the ball will rebound to a height of B) 5.0625 feet after the third bounce.

Explanation:

The question is asking how far the ball will rebound after the third bounce. Initially, the ball is dropped from a height of 12 feet. On each bounce, it rebounds to ⅔3 (75%) of the previous height. To solve this, we need to calculate the height achieved on each successive bounce.

First bounce: 12 feet * ⅔3 = 9 feet

Second bounce: 9 feet * ⅔3 = 6.75 feet

Third bounce: 6.75 feet * ⅔3 = 5.0625 feet

Therefore, after the third bounce, the ball will rebound to a height of 5.0625 feet, which corresponds to option B.

At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far . how many tickets does he have left

Answers

The number of tickets left after using 39 tickets is 105.

What is multiplication?

Multiplication is the process of adding a number up to a given number

Given that, there are 9 packs and there are 16 tickets in each pack.

Therefore, the total number of tickets is:

16 × 9

= 144

Now, the number of available tickets after using 39 tickets:

144 - 39

= 105

Hence, the number of tickets left after using 39 tickets is 105.

To learn more about multiplication, click here:

https://brainly.com/question/11527721

#SPJ5

If x varies directly as y, and x = 48 when y = 16, find x when y = 5.

A) 5/3

B) 153.6

C) 15

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above: x varies directly as y. When x is 48, y is 16.

 2. Keeping the information above on mind, you have:

 y=x/k

 Where k is the constant of variation

 3. Then, the value of k is:

 k=x/y
 k=48/16
 k=3

 4. Therefore, when when y=5, the value of x is:

 y=x/3
 x=(5)(3)
 x=15

 5. Then, as you can see, the correct answer is the last option (Option C), which is:

 C. 15

Can someone help me find the area of the following figure

Answers

1. The area of the full rectangle is 21 * 28 = 588. We will need this later. 

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63. 

Now we do the full area of 588 minus the area of the missing triangle piece. 

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7. 

105 + 7 = 112 in²

Is (3, 2) a solution to this system of equations?
8x + 7y = 37
2y = 4x - 2

Answers

if x = 3 and y =2 then 8x+7y= 38
and 2y = 4x is correct

hope it helps :)

edit i was incorrect about second answer it would be 

2y =4x-4

The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredths place.

Answers

26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches

The height of the TV for the condition is 17.96 inches.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Given the diagonal of the TV = 26 inches

width of screen = 18.8 inches

let the shape of TV be rectangular

so diagonal divide the rectangle in right triangles,

by Pythagoras' theorem we can find the height,

h² = b² + h²

h =  hypotenuse  = diagonal for given  = 26 inches

b = base = width = 18.8 inches

h = height

(26)² = (18.8)² + h²

h² = 676 - 353.44

h = √322.56

h = 17.96 inches

Hence the height of TV is 17.96 inches.

Learn more about Pythagoras' theorem;

https://brainly.com/question/343682

#SPJ2

All of the following represent the same expression except _____.

-8ab
-8(a)(b)
8 - ab
-8 · a · b

Answers

all of them are multiplying except for 

8 - ab

looks like subtraction to me

hope that helps
 

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression that is not the same as the rest of the expressions is

8 - ab.

Option C is the answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x - 5 is an expression.

4x + 4 is an expression.

4 x 5 - 5x is an expression.

We have,

1) -8ab

2) -8 (a) (b)

= -8ab

3) 8 - ab

4) -8.a.b

= -8ab

We see that,

All the expressions are the same except the expression

8 - ab

Thus,

The expression that is not same with the rest of the expression is

8 - ab.

Option C is the answer.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Which expression is another way to show 9/2

Answers

Final answer:

The expression 9/2 can be equivalently expressed as the mixed number 4 1/2, or by multiplying the numerator and denominator by the same number, such as 18/4.

Explanation:

The question asks for an expression that is equivalent to 9/2. One way to express this fraction differently is by converting it into a mixed number. Since 9 divided by 2 is 4 with a remainder of 1, we can express 9/2 as 4 1/2 (four and a half). Another method is to multiply both the numerator and the denominator by the same number, which does not change the value of the fraction.

For example, multiplying both by 2 gives us 18/4, which is equivalent to 9/2. Multiplying or dividing both the numerator and denominator by the same non-zero number is a skill that can provide equivalent fractions.

PLEASEEE PLEASSE HELP!! BRANLIEST!!!PLEASEEE

Triangle XYZ is formed by the three squares J, K, and L:



Which statement best explains the relationship between the sides of triangle XYZ?

XY + YZ = ZX, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162
XY + YZ = ZX, because 202 + 122 = 162


Answers

I would say B is the correct answer because of the Pythagorean theorem.
a^2 + b^2 = c^2
XY^2 + YZ^2 = ZX^2
12^2 + 16^2 = 20^2
144 + 256 = 400

My best guess is B.

Hope this helps =)

Triangle XYZ is formed by the three squares J, K, and L

So it is a right triangle.

Pythagorean Theorem: a^2 + b^2 = c^2

Answer:

(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400



What is the value of y?

I think the hypotenuse is 8 and if it is, am I supposed to do
C^2 - B^2 = A^2?

Answers

check the picture below.

make sure your calculator is in Degree mode.
You actually aren't supposed use to the Pythagorean Theorem. You are supposed to implement the trigonometry functions.

The angle, 60, is directly opposite with what you're trying to find, y. Also since you have another side of the triangle that is identified, you can figure what trig function to use. The line next to the angle is the adjacent. We have the adjacent and opposite. The trig function that implements both sides is the Tangent. The formula for it is tangent(angle) = opposite/adjacent.

Now substitute the number into the formula.

tan(60) = y / 5

We need to isolate y, so we times 5 and tan(60)

tan(60) x 5 = 8.66

y is now isolated and the answer is 8.66 = y

find the probability that a student chosen at random plays football or cricket or both

Answers

42/46= 91% or 21/23 or .91

What is true about side AB and side AD?

1) The slopes are the same.
2)The slopes are the opposite reciprocal.

Answers

Can I see a image because I really got no idea about what you are talking about

A total of 705 tickets were sold for the school play. they were either adult tickets or student tickets. there were 55 more student tickets sold than adult tickets. how many adult tickets were sold?

Answers

Students = 380
Adults = 325

use the following system of equations:

x - y = 55
x + y = 705

There were 380 student tickets and 325 adult tickets were sold for the school play.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the number of student tickets would be x and the number of adult  tickets would be y

As per the given question, the following system of equations:

x - y = 55 ....(i)

x + y = 705 ....(ii)

Add both equations,

x - y + x + y = 55 + 705

2x = 760

x = 760 / 2

x = 380

Substitute the value of x = 380 in equation (ii),

x + y = 705

380 + y = 705

y = 705 - 380

y = 325

Hence, there were 380 student tickets and 325 adult tickets were sold for the school play.

To learn more about the equations click here:

brainly.com/question/10413253

#SPJ5

Keisha can jog 2 miles in 24 minutes. At the same rate , how many miles can she jog in 60 minute

Answers

In 24 minutes Keisha jogs 2 miles . So in 60 minutes she will jog  (2/24) x 60 =5 miles . In 12 minutes she jogs 1 mile . so in 60 minutes it will be 5 miles.

The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Points earned on this question: 0

Answers

To find the probability of choosing a point NOT in the shaded region, you will need to find the area of the part of the figure that is not shaded when compared to the total area of the larger shape.

1.  To find the area of the unshaded region, you will subtract the area of the larger circle and the area of the smaller circle.

A = pi x r^2            -       
      3.14 x 5^2    -      3.14 x 4^2
       78.5  - 50.24
Area of the unshaded is 28.26 square inches.

Area of unshaded          28.26
Area of large circle   =   78.5

Divide these to find the probability.

0.36 is 36% probability.

The probability if 36%.

Answer:

36%

Step-by-step explanation:

!!!!WILL MARK BRAINLIEST IF CORRECT AND IF YOU ANSWER ALL PARTS OF QUESTION! SHOW WORK PLEASE!!!!!

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain.

Answers

(a) NO.
  The table will support a little over 3 ft³ of water. The volume of the aquarium is (3 ft)³ = 27 ft³, substantially larger. Hence the weight of the filled aquarium is substantially more than the table can support.

(b) NO.
  The density of water (mass per volume) at a given temperature is substantially constant. That is, water is regarded as an "incompressible fluid." (Water does compress so that its density increases very slightly at extreme depth, but the effect is not measurable over a depth of 1.5 to 3 feet.) Temperature has a much greater effect on the density of water than does depth.

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)

Answers

Answer:

The value of angle α is 18 degree.

Step-by-step explanation:

Given information: Angles α and β are the two acute angles , α < β.

Given equation is

[tex]\sin (2x-8)=\cos (6x-6)[/tex]

[tex]\cos (90-(2x-8))=\cos (6x-6)[/tex]        [tex][\because \sin (90-x)=\cos x][/tex]

Equating both sides.

[tex]90-2x+8=6x-6[/tex]

[tex]98+6=6x+2x[/tex]

[tex]104=8x[/tex]

[tex]13=x[/tex]

The value of x is 13.

The measure of angles is

[tex]2x-8=2(13)-8=18[/tex]

[tex]6x-6=6(13)-6=72[/tex]

Since 18<72, therefore the value of angle α is 18 degree.

Answer:

A

Step-by-step explanation:

Which pair of numbers are not opposites? Select one: a. |7| and -7 b. 72 and -72 c. 27 and |-27| d. 27 and -27

Answers

Answer is choice C

|-27| = 27 which is positive and not negative
Saying "27 and |-27|" is the same as saying "27 and 27". We can replace |-27| with 27 as they are equal. In order for them to be opposites, one has to be negative and the other positive; however, both are positive.

Today, 32 customers at Tasha's Juice Emporium bought a total of 512 ounces of juice. How much juice did each customer buy on average?

Answers

[tex] \frac{512 oz}{32 customers} = 16 ounces per customer[/tex]

The amount of juice did each customer buy on average is,

⇒ 16 ounces

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Today, 32 customers at Tasha's Juice Emporium bought a total of 512 ounces of juice.

Hence, The amount of juice did each customer buy on average is,

⇒ 512 / 32

⇒ 16 ounces

Thus, The amount of juice did each customer buy on average is,

⇒ 16 ounces

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is not covered by the pool

Answers

The area of the pool is 1320.25

A basketball is theown upwards. The height F(t), The height in feet, in time, t, in seconds is goven by the following. f(t)= -16t(2) +44+ 12. Which of the following is a reasonable domain of the graphof the function when the basketball falls from ots maximum height to the ground?

Answers


[tex](1.4 \: comma \: 3)[/tex]
those parentheses should be brackets, but their isnt any in the equation feature.

For one History test, John had to answer 45 questions, John answered 33 of them correctly. What percent did John get on his history test? Round your answer to the nearest tenth if necessary.
PLEASE SHOW WORK!!!

Answers

33÷45=.733 ×100 = 73%

 Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:

A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.

What is the probability that a point chosen inside the larger circle is not in the shaded region?

24%

36%

50%

64%

Answers

First we have to find the areas of both circle using the formula

[tex] Area = \pi r^2 [/tex]

For larger circle,

[tex] Area= \pi(5)^2 = 25 \pi [/tex]

For smaller circle,

[tex] Area = \pi (4)^2 = 16 \pi [/tex]

Required probability

[tex] = \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36% [/tex]

Correct option is the second option .

Answer:

the other person is correct

Step-by-step explanation:

give them brainliest

Other Questions
15. In the following sentence, which word is an adverb used to modify a verb? The young girl sadly spoke of her grandfather. A. Grandfather B. Spoke C. Sadly D. Girl Answering questions such as, "what will you do differently on the next project based on your experience working on this project?" is part of a __________. Prove that x+6x+18 is always greater than[tex]2 - \frac{1}{x} [/tex]For any value of x. Which southern city did u.s. admiral david farragut capture in 1862? What is the actual name of compound-s that is used to treat arthritis? Juliet is embarrassed that romeo has overheard how she feels about him, but she decides to ignore convention. although deeply, in love herself, how does she show herself to be shrewd and knowledgeable about men? According to my _____, we do not have enough fuel to move the rover to the other side of the Martian flat lands. 10 points for best answer!!!!!Question 2 How was the Cuban Missile Crisis resolved?Question 2 options:with skirmishes in the Caribbean that ended in a standoffwith negotiations that allowed Soviet missiles to remain in Cuba with UN inspectors monitoring themthrough meetings of the UN Security Councilwith negotiations that removed Soviet missiles from Cuba and U.S. missiles from TurkeyQuestion 3 What was the main reason for U.S. involvement in Vietnam?Question 3 options:the decision to honor a treaty agreementa response to a request for support in the fight against communisman interest in honoring a commitment to the members of the United Nationsthe belief that communism would spread in Southeast AsiaQuestion 4 Which was a problem for the U.S. military in fighting the Vietnam War?Questio A volcanic eruption adds carbon dioxide to the air. This is an example of interactions between the1) hydrosphere and geosphere2) atmosphere and geosphere3) geosphere and biosphere4) hydrosphere and biosphere Your mother tells you that she is concerned for your grandmother. your grandmother had a dog that she absolutely adored and had to euthanize it last week. she has lost interest in her daily activities and has begun to mope around the house. she longs to be with her dog and misses him dearly. your mother believes that a psychologist needs to get involved. based upon the information provided by the text, what should you tell your mother? You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A.M.. The distance from Toledo to Elkhart is 136 miles; the distance from Toledo to Chicago is 244 miles. The speed limit is 65 mph. What is the minimum speed you must maintain in order to arrive in Chicago before 10:30 A.M. I WILL MARK THE BRAINLIEST! PLZ HELP!The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach draws a random sample from the following groups: All students in each grade All teachers in the school All boys in each grade in the schoolAll students on the track-and-field team Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points) {A} All students in each grade {B} All teachers in the school {C} All boys in each grade in the school {D} All students on the track-and-field team Why do you think the worms treated with 1 ml of bleach have a longer reaction time ? Think about the guidelines that you can apply when reading fiction. in the triangle show below, what does "c" stand for? select one:a. expositionb. complicationsc. turning point or climaxd. falling actione. resolution What are cells that express the same genes?A. not livingB. the same C. differentiated D. mutated The Supreme Court based its 1883 decision about civil rights on an interpretation of the Thirteenth Amendment. the Fourteenth Amendment. the Fifteenth Amendment. the Plessy v. Ferguson case. In which process do the germ layers differentiate into organs and organ systems? What is a synonym for the word disengage Ever since she was a few weeks old, shelly has been an unusually contented baby who slept and ate well and adapted easily to new experiences. a developmental psychologist would probably describe shelly's temperament as being: Where is the second derivative of y = 4xex equal to 0?