Mathematics High School

Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers.

Answers

Answer 1

From simplification of the given algebra, the correct answers are as shown below.

How to solve algebra problems?

1) (a² - b)/(a³b²)

This reduces to;

(a²/(a³b²)) - b/(a³b²)

⇒ a/(ab²) - 1/(a³b)

2) The algebraic expression is;

(b - a)/a³b³

⇒ b/a³b³ - a/a³b³

⇒ 1/a³b² - 1/a²b³

3) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ (2/(a²b³)) - (ab²)/(a²b³)

⇒ 2/(a²b³)) - 1/(ab)

4) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ 2/(a²b³) - 1/ab

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Related Questions

what is a phrase that 18c can represent (written answer)

Answers

A phrase that 18c can represent is the product of 18 and a number c

How to determine the phrase?

The expression is given as:

18c

Rewrite as:

18c = 18 * c

The above represents the product of two factors; 18 and c

Hence, a phrase that 18c can represent is the product of 18 and a number c

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The initial price of a horse is $13,000. it is discounted by
20% and then by a further 18%. find the price of the item.

Answers

Answer:

12971

Step-by-step explanation:

13000-20-18 = 12971

Answer:

8060$

Step-by-step explanation:

20%+18%=38%

13000*38%=4940

13000-4940=8060 $

I NEED HELP ASAP PLEASE I WILL GIVE BRAINLIEST

Simplify:
| -1/2 - 1/8| + ( -3/4 + 5/6)

A. 1/12 B. -5/8 C. -13/24 D. 17/24

Answers

Answer:

0.705

Step-by-step explanation:

| -1/2 - 1/8| + ( -3/4 + 5/6)

| -1/2 - 1/8| + ( -0.75 + 0.83)

| -1/2 - 1/8| + 0.08

| -0.5 - 0.125| + 0.08

|-0.625| +0.08

0.625+0.08

0.705

hope it helps

How many 4 letter arrangements can be made by using different letters from the word hexagon

Answers

Answer:

I can find at least 10 4-letter words out of hexagon.

Step-by-step explanation:

1.) Hexa (means 6)

2.) gone

3.) nage (a type of bullion)

4.) gane (to yawn)

5.) hage (a frightening old woman; a witch)

6.) hane (ghostly)

7.) axon (a part of a nerve cell)

8.) hang

9.) oxen

10.) hoax

Which of the following is an example of combination?

a
Form a passcode with 4 digits
b
Choose President, Vice-President and Secretary.
c
Choose 4 students in a class committee out of 35 members
d
Students line up to go to an assembly.

Answers

Order matters is permutation

Order doesn't matters is combination

The correct combinations are

Choose President, Vice-President and Secretary.Choose 4 students in a class committee out of 35 members

A veterinarian finds that weights for the population of each dog breed tend to be approximately normally distributed. The mean weight of beagles is 25 pounds with a standard deviation of 3 pounds. The mean weight for Great Danes is 150 pounds with a standard deviation of 20 pounds. About 68% of beagles weigh between 22 and 28 pounds. Consider these values in terms of the mean and standard deviation only. The interval that would represent a similar percentage of Great Danes would fall between

Answers

Using the Empirical Rule, it is found that the interval that would represent a similar percentage of Great Danes would fall between 130 and 170 pounds.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

68% fall within 1 standard deviation of the mean, hence for the Great Danes, the values are given as follows:

150 - 20 = 130 pounds.150 + 20 = 170 pounds.

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A set of data has a normal distribution with a mean of 46 and a standard deviation of 7. Find the percent of data within the following interval.

less than 46

The percent of data within the given interval is what percent?

Answers

Answer:

50%

the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%

Using the information in the diagram, what is the height of the tree to the nearest foot?

45 ft
54 ft
60 ft
135 ft

Answers

Answer:

60 ft

Step-by-step explanation:

a = 90

b = 108ft

the base angle can be found by using sin(x) = 120/108x2

=> x = 33.7 degrees

To find height, use tan(33.7) = Opp/ Adjacent = x / 90

=> x = 60.02 or 60 ft

Slope of (3,2) and (19,6)

Answers

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 2}{19 - 3} \\ = \frac{4}{16} \\ \boxed{slope = \frac{1}{4} }[/tex]

Find the value of x.

Answers

Answer: 18

Step-by-step explanation:

By the angle bisector theorem, [tex]\frac{x}{48} =\frac{12}{32} \longrightarrow x=\boxed{18}[/tex]

the values in the table represent a linear function.

Answers

Answer:

Step-by-step explanation:

just find the equal difference of y values.

Step-by-step explanation:

to add to the explanation :

an arithmetic sequence is defined as

an = an-1 + d

so, every term of the sequence is created by adding the same constant d (the common difference) to the previous term.

therefore, you find the common difference by finding the difference of 2 sequential terms.

like here e.g.

a3 = 38

a4 = 53

53 - 38 = 15

bingo !

and to verify that it truly is an arithmetic sequence, we can quickly also check the differences between the other pairs. yes, they are all 15.

be prepared for a trap like

1 8

2 23

3 38

5 68

notice the sudden jump in x ? suddenly x is increased by 2.

that just means we compare

an and an-2 instead of an-1.

so, how is related to an-2 ?

an = an-1 + d = (an-2 + d) + d = an-2 + 2d

and so we would get

a3 = 38

a5 = 68

a5 - a3 = 2d = 30

d = 15

so, don't get confused by such jumps or gaps.

4 there are only red sweets and yellow sweets in a bag.
there are n red sweets in the bag.
there are 8 yellow sweets in the bag.
sajid is going to take at random a sweet from the bag and eat it.
7
he says that the probability that the sweet will be red is
10
7
(a) show why the probability cannot be
10
after sajid has taken the first sweet from the bag and eaten it, he is going to take at
random a second sweet from the bag.
given that the probability that both the sweets he takes will be red is
uw
(b) work out the number of red sweets in the bag.
you must show all your working.

Answers

Using the probability concept, it is found that since the number of red sweets would be a decimal number, the probability cannot be [tex]\dfrac{7}{10}[/tex]

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

In this problem:

In total, there are 8 + n sweets in the bag.Of those, n are red.

The probability of red is:

[tex]p=\dfrac{n}{n+8}[/tex]

Supposing, we solve for n:

[tex]\dfrac{n}{n+8} = \dfrac{7}{10}[/tex]

10n = 7n + 56

3n = 56

n = 56 / 3

n = 18.67

Since the number of red sweets would be a decimal number, the probability cannot be 7 / 10

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Let x and y be directly related such that y = 9 when x = 3. Find y when x = 7.

Answers

Answer:

y=21

Step-by-step explanation:

y= 9 cos x =3 so y=3 when x=1 on the base level so if x=7 would be x=1 on the base level * 7 then y=3 on the base level * 7 would be y = 21

PLEASE HELP
What is the area of the whole target?

Select the correct answer.

Answers

Answer:

The first one with the number 38

Step-by-step explanation:

Please help me answer this question.

Answers

Answer:

86%

Step-by-step explanation:

each shaped area represent 1% so you divide or subtract the unshaped area with the shaped area.

−3x(−4x+x)−x(−x−2x)−4x(4x+3x)

Answers

Answer:

[tex] - 3x( - 4x + x) - x( - x - 2x) - 4x(4x + 3x) \\ \\ = 12 {x}^{2} - 3 {x}^{2} + {x}^{2} + 2 {x}^{2} - 16 {x}^{2} - 12 {x}^{2} \\ \\ = - 16{x}^{2} [/tex]

What is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)

Answers

Answer:

f(x) = 3x + 9: y - intercept is option c. (0,-9)

f(x) = 3x - 9: y - intercept is option b. (0, 9)

Step-by-step explanation:

option a and d cant be correct since y = 0 in those answer when the y - intercept is when x = 0

If the function f(x) = 3x + 9

than x = 0

f(x) = 3(0) + 9

f(x) = 0 + 9

f(x) = 9

x = 0 and y = 9 (0, 9)

If the function f(x) = 3x - 9

than x = 0

f(x) = 3(0) - 9

f(x) = 0 - 9

f(x) = -9

x = 0 and y = -9 (0, -9)

F(X)=3x+9:y intercept is option C
F(X)=3x-9: y intercept is option B

If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?

Answers

How many onions were there to begin with?

the table shows the results of rolling a die several times. To the nearest percent, what is the experimental probability of rolling a 6?

Answers

The experimental probability of rolling a 6 will be 13.3%

How to calculate the probability?

The probability will be calculated thus:

= Number of times that 6 occured / Total number if outcomes

= 4/(7 + 4 + 4 - 5 + 6 + 4)

= 4/30

= 0.133

= 13.3%

Therefore, the probability is 0.133 or 13.3%.

Table shows the results of rolling a die several times.

outcome: 1, 2, 3, 4, 5, 6

number of times outcome occurred: 7, 4, 4, 5, 6, 4

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Jordan fills several bags with oranges. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

18 1/8

Step-by-step explanation:

4 7/8 x 4 = 23 1/2

23 1/2 - 5 3/8 = 18 1/8

Solve system of equation using elimination by addition.

Will give brainliest!!

Answers

Answer:

[tex]x = 2, y = -3[/tex]

Step-by-step explanation:

Add the 2 equations together, then solve for x.

[tex](2x + 2y) + (3x - 2y) = (-2) + (12)\\ 2x + 3x + 2y - 2y = -2 + 12\\5x = 10\\x = 2[/tex]

Now that we know the value of x, we can easily find y by substitution.

[tex]3x - 2y = 12\\3(2) - 2y = 12\\6 - 2y = 12\\-2y = 6\\y = -3[/tex]

These are the answers

- Kan Academy Advance

If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.

Answers

Answer:

Step-by-step explanation:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

Answers

The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.

This question is incomplete, the complete question is:

The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.

a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.

b. Solve the equation to determine the volume of Box B

What is volume?

Volume is simply the amount of space that is enclosed within a container.

Given that;

Sum of the volume of two rectangular prisms A&B = 14.325cm³Volume of Box A = 5.61cm³

Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;

Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B

14.325cm³ = 5.61cm³ + B

B = 14.325cm³ - 5.61cm³

Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³

To determine the volume of Box B, we solve the equation.

B = 14.325cm³ - 5.61cm³

B = 8.715cm³

Hence, the volume of Box B is 8.715cm³.

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1000 milliliters is equivalent to ____ cups

Answers

Answer:

4.22675 cups are equal to 1000 milliliters

Step-by-step explanation:

1000 milliliters is equivalent to __4.22675__ cups

Hope This Helped

Answer:

4.22675

Step-by-step explanation:

Pls help and can you show work or equation

Answers

Answer:

648 in^2

Step-by-step explanation:

your must find the surface area of the rectangular prism

this can be modelled by

2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)

2(9 * 9) + 4(13.5 * 9)

then you do whats inside the parenthesis

2(81) + 4(121.5)

and lastly you multiply and add

162 + 486 = 648

the answer is 648 in^2

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)

Solve m + 6 = 5m − 2 to find the value of m.
Write the points where the graphs of the equations intersect the x axis.
Solve v + 6 = 5v − 2 to find the value of v.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

Solve v + 6 = 5v − 2 to find the value of v.

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The correct method to find Meg's and Victor's ages is to equate the equations for their ages.

Hence. the answer is :

Solve v + 6 = 5v − 2 to find the value of v.

What is the answer in this question

Answers

Answer = 24
Reason
4/5 is the same as 24/30

Notice the denominator 5 changes to 30
In order to do that we multiply 5 x 6
So we do the same to the numerator
Multiply 4 x 6 =24

Answer:it's 24

Step-by-step explanation:

its multiplying the 5, 6 times

4. You are packing clothes for vacation and don't want to take any t-shirts. You randomly choose 3 shirts from a drawer containing 4 t-shirts, 3 polo shirts, and 3 button-downs.

a. What is the probability that the first 3 shirts are t-shirts when you replace each shirt before choosing the next one?

b. What is the probability that the first 3 shirts are t-shirts when you do not replace each shirt before choosing the next one?

*I know this is a lot, but it would really help me out if someone could help me out, I don't know how to describe it, but thanks.*

Answers

Answer:

A. 3/10

B.1/7

Step-by-step explanation:

What is (2-2i√3)4 equivalent to?
Drag a value to each box to correctly express the answer in polar form and then in rectangular form.

Answers

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

What are complex numbers?

Complex numbers are numbers of the form z = x + iy

a. Complex numbers in polar form

Complex numbers in polar form z = r(cosθ + isinθ) where

r = √(x² + y²) and θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

x = 2 and y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

Powers of complex numbers

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. Complex numbers in rectangular form

The complex number z = r(cosθ + isinθ) in rectangular form is z = x + iy where

x = rcosθ and y = rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y = rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

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Does this graph represent a function? Why or why not?
8-
-10 804
-10-
OA. Yes, because it passes the vertical line test.
B. No, because it fails the vertical line test.
OC. Yes, because it is a curved line.
O D. No, because it is not a straight line.
*+

Answers

The graph represents a function because (a) Yes, because it passes the vertical line test.

How to determine the temperature at midnight?

The information that completes the question is added as an attachment

For a graph to represent a function, the graph must pass a vertical line test.

The vertical line test is such that a line drawn from the x-axis must intersect with the graph at only one point.

Based on the criteria above, the given graph would pass the vertical line test.

Hence, the graph represents a function because (a) Yes, because it passes the vertical line test.

Drag the tiles to the correct boxes to complete the pairs. Match the subtraction expressions with their answers.

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Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers.