Mathematics College

Please explain as well!

Answers

Answer 1

Answer:

The height of the other book is 2 3/4 inches.

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

The height of the other.

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]

Solve for x to get the other book's height.

Convert the mixed fractions to fractions:

[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]

Subtract 19/4 from both sides:

[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]

[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

Related Questions

Given Segment AC with point B contained on the segment, as shown below.

Write a complete two-column proof for following information:

Given: Segment AB = x + 16, Segment BC = 4x + 11

Segment AC = 77

Prove: AB = 26

Answers

It is true that the line segment AB equals 26

How to prove that line segment AB = 26?

The given parameters are:

AB = x +16

BC = 4x + 11

AC = 77

The two-column proof is as follows:

AC = AB + BC Line segment formula

77 = x + 16 + 4x + 11 Substitution property of equation

77 = 5x + 27 Addition property of equation

5x = 50 Subtraction property of equation

x = 10 Division property of equation

AB = 10 +16 Substitution property of equation

AB = 26

Hence, the line segment AB has been proved to equal 26

Answers

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.

The median is 1750.

Mode is the number that appears most often in the data set.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260

The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

500 ft.

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PLEASE HELP TIMER!!!!!!!!!!!!!

Answers

Answer:

Answer: -3/2

Step-by-step explanation:

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) The height h(t) in feet of a model rocket above the ground t seconds after
lift-off is given by h(t) = −t
2 +30t, for 0 ≤ t ≤ 30. When does the rocket reach its
maximum height above the ground? What is its maximum height?

Answers

After 15 seconds rocket reaches to maximum height is 225 units.

What is Differentiation?

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, the given equation of height

h(t) = -t² + 30t

y = -t² + 30t

Now, on differentiating both side with respect to t, we get

dy/dt = -2t + 30

put dy/dt = 0, we get

0 = -2t + 30

2t = 30

t = 15

Now, at t = 15 sec. rocket reach at its maximum height.

maximum height at t = 15 sec is

h(15) = -(15)² + 30(15)

h(15) = -225 + 450

h(15) = 225

Thus, after 15 seconds rocket reaches to maximum height is 225 units.

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[tex]\frac{1}{2} (5x - 9 ) = 2 (\frac{1}{3} + 6 )[/tex]

Answers

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be [tex]2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}[/tex].

This means we need to solve:

[tex]\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}[/tex]

At 3:40 P.M, the hour hand and the minute hand of a clock form an angle of:

Answers

Answer:

130 degrees

Step-by-step explanation:

3:40, it has traveled 6 * 40 = 240 degrees which is 110 degrees from vertical The difference is 240 - 110 = 130 degrees, which is the final answer.

Hope This Helped

130 degrees

I took the test!

PLEASE I NEED THE ANSWER (JUST THE ANSWER)

Answers

The answer should be number one. (No correlation)

6x³ + 3x
how do you factor out the GCF in this question??

Answers

hope this helps, comment if you have any questions:)))

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to factor out the GCF in the expression

[tex]\star~\star\mathrm{6x^3+3x}~\star~\star[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Divide every single term of the expression by the GCF (Greatest Common Factor).

So let's divide.

But first. we should work out the GCF.

Both terms have 3x in common, so we divide both terms by 3x:

[tex]\mathrm{6x^3+3x}[/tex]

[tex]\mathrm{3x(2x^2+1)}[/tex]

To ensure that we've factored correctly, we can always use the distributive property, distribute 3x and see whether or not we end up with [tex]\mathtt{6x^3+3x}[/tex].

So the answer is

[tex]\mathrm{3x(2x^2+1)}[/tex]

Notice I put parentheses around 2x²+1. This indicates that 3x is multiplied times both 2x² and 1.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

A water barrel has a total volume of 1.25 cubic meters (m3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to cubic feet (ft3). Round your answer to the nearest tenth. Do not type the units in the space below.

Answers

Answer:

see the attachment photo!

What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?

Answers

The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:

Advantages:

The improvement of productivity.

Better and easier communication between people.

Disadvantages:

Can be bad for the environment.

Technology might be able to replace humans in jobs.

What is technology?

Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.

Technology is embedded in the operation of all machines for the intended purpose of an organization.

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nth term formula? maths quickly

Answers

[tex]\text{Nth term of an arithmetic series} = a +(n-1)d \\\\\text{Nth term of an geometric series}= ar^{n-1}\\\\\text{where,}\\\\\text{a = first term.}\\\\\text{d = common difference.}\\\\\text{r = common ratio.}[/tex]

A group of researchers wants to develop an experiment to determine whether a new drug effectively treats hypothyroidism. The researchers want to inject the drug in rabbits first to determine whether there are any potential serious side effects.

Part A: What are some possible ethical issues to this type of testing? (5 points)

Part B: While conducting the experiment, the researchers find the thyroid begins functioning properly, and they declare the new drug is causing the change. Is this a good assumption? Explain. (5 points)

Answers

Some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.

What is experiment?

Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a experiment. To avoid any ambiguity or surprise, a experiment must be properly defined.

A) Because human experimentation is immoral, animal research has been employed as a research approach.

However, using animals is unethical because they are subjected to unpleasant and hazardous procedures, as well as stress and injury. The use of non-animal methods to substitute animal methods as much as possible will provide both ethical and technical benefits. Researchers should make the use of non-animal methods for a top priority experiments.

B) Even though the purpose of an experiment is to ensure success in rabbits, this is incorrect in people because action is what will operate properly.

The absence of thyroid-stimulating hormone in rabbit serum is a mistaken notion. As a result, it is preferable to test the drug further, and it was a success. As a result, there will be no dysfunctionality for humans.

Thus, some possible ethical issues to this type of testing that they are subjected to unpleasant and hazardous procedures, as well as stress and injury.

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What is the square root of 121 ?

Answers

Answer:

√121 = 11

Explanation:

11 × 11 = 121

Answer:

Step-by-step explanation:

The square root of 121 is 11.

= 11*11 = √(121)

= 121 = 11

done

Select the action you would use to solve x-3= 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
OF. Property: Subtraction property of equality
← PREVIOUS

Answers

Answer:

Add 3 to both sides

Property: Addition property of equality

Step-by-step explanation:

Action: Add 3 to both sides.

⇒ x - 3 = 12

(cancel out)+ 3 + 3

------------------------ -----

x = 15

The property used:

Addition property of equality.

→ equation is true and the same #is added to each side the resulting equation is true. for any #s a,b,c,if a=b then a+c=b+c.

congruent figures someone please help

Answers

5x=63 your answer is 12.6

Please help me with this!

Answers

Answer:

Yes, x = 0 is a solution to the given equation

Step-by-step explanation:

[tex]1^3+1(1-1)=1-x^2[/tex] (Given)

[tex]L.H.S.=1^3+1(1-1)[/tex]

[tex]= 1 +1(0)[/tex]

[tex]= 1+0 [/tex]

[tex]=1[/tex]

[tex]R.H.S. =1-x^2[/tex]

[tex]=1-(0)^2[/tex] (Plug x = 0)

[tex]=1-0[/tex]

[tex]=1[/tex]

[tex]\implies L.H.S. = R.H.S.[/tex]

Thus, x = 0 is a solution to the equation [tex]1^3+1(1-1)=1-x^2[/tex]

Hi Student!

The goal of this question is to determine x = 0 is a solution of the expression that was provided. The first step that we must take is input 0 into all of the x's that we have in the expression. Then we just simplify both sides and determine if the end expression is true and if it is then x = 0 is a solution.

Plug in the values

[tex]1^3 + 1(1 - 1) = 1 - x^2[/tex][tex]1^3 + 1(1 - 1) = 1 - (0)^2[/tex]

Simplify both sides

[tex]1^3 + 1(0) = 1 - 0[/tex][tex]1 + 0 = 1[/tex][tex]1 = 1[/tex]

Looking at the final expression, we can see that 1 is indeed equal to 1 and since the expression is true, we can say that x = 0 is a solution of the expression that was provided in the problem statement.

What is the domain of the piecewise function?
A. x<0, x>4
B. -∞ 4
C. all real numbers

Answers

Answer:

C. All real numbers

Calculate the area of the alarm clock.

Answers

Given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².

What is the area of the alarm clock?

Note that: Area of a circle is expressed as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Given that;

Diameter d = 70cm Radius r = d/2 = 70cm/2 = 35cmArea = ?

A = πr²

A = 3.14 × ( 35cm )²

A = 3.14 × 1225cm²

A = 3846.5cm²

Therefore, given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².

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Question 3
Points 2
Answered On: 06/15/2022 09:40 AM
A boa constrictor slithers 1/3 feet in 3/4 second. What is its speed in terms of
feet per second?
Reset
Reset
comp

Answers

Answer:

18 inches = 1.5 feet

8 inches = 2/3 foot

y = 1.5 + (2/3)x

Which of the following is a right triangle?

Answers

Answer:

Step-by-step explanation:

A right triangle must have one of its 3 angles equal to 90°

the only triangle with an angle of 90° is Triangle C

Answer:

B:Triangle

Step-by-step explanation:

How to find x=?
How to solve step by step

Answers

Answer:

230 degrees

Step-by-step explanation:

draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x

At a certain college, 49% of the students are female, and 21% of the students major in civil engineering. Furthermore, 8% of the students both are female and major in civil engineering.

Answers

The probability that a student is a female or major in civil engineering is 62%

Complete question

At a certain college, 49% of the students are female, and 21% of the students major in civil engineering. Furthermore, 8% of the students both are female and major in civil engineering. What is the probability that a randomly selected female student majors in civil engineering?

How to determine the probability?

Let A represent Female and B represents civil engineering.

The above representation means that the given parameters are:

P(A) = 49%P(B) = 21%P(A and B) = 8%

The required probability is calculated as:

P(A or B) = P(A) + P(B) - P(A and B)

This gives

P(A or B) = 49% + 21% - 8%

Evaluate

P(A or B) = 62%

Hence, the probability that a student is a female or major in civil engineering is 62%

Answers

Answer:

A graph shows zeros to be ±3. Factoring those out leaves the quadratic

(x-2)² +1

which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

The function is :

f(x) = x⁴ - 4x² - 5

=============================================================

Plotting on a graph :

⇒ Once plotted on graph, check where the line of the function intersects the x-axis

⇒ Those will be the zeros of the function

===========================================================

Solution :

⇒ x = -2.236

⇒ x = 2.236

Which is an x-intercept of the continuous function in the table ? (0, - 6); (3, 0); (- 6, 0) O (0, 3)

Answers

An x-intercept of the continuous function in the table is (-1, 0)

Intercept of a line

The x-intercept of a line is the point where the line crossed the x-axis or the point where the value of y is zero.

From the table, the x-intercept are all the point where the value of f(x) is zero. Hence the Which is an x-intercept of the continuous function in the table is (-1, 0)

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The solution for which of the following is neither a interger nor a fraction 4x+7=x+2 ,5x-8=x+4, 3x+2=5x+2, none of the above

Answers

Answer:

none of the above

Step-by-step explanation:

4x + 7 = x + 2

4x - x + 7 = x - x + 2

3x + 7 = 2

3x + 7 - 7 = 2 - 7

3x = -5

3x / 3 = -5 / 3

x = -5 / 3 = -1.667

5x - 8 = x + 4

5x - x - 8 = x - x + 4

4x - 8 + 8 = 4 + 8

4x = 12

4x / 4 = 12 / 4

x = 3

3x + 2 = 5x + 2

3x - 5x + 2 = 5x - 5x + 2

-2x + 2 = 2

-2x + 2 - 2 = 2 - 2

-2x = 0

x = 0

Integers, As a whole number that can be written without a remainder,

x = 3

x = 0

(Mixed) Fraction

x = -5 / 3 = -1.667

You plan to build a house that is 1 ½ times as long as it is wide. You want the land around the house to be 20 feet wider than the width of the house, and twice as long as the length of the house, as shown at the right.

Answers

The total area with land based on the information given is 3x² + 60x.

How to find the area?

Let the width = x

Let the length = (1.5 × x) = 1.5x

Area = 1.5x × x = 1.5x²

The area along with land:

Width = x + 20

Length = 3 × x = 3x

The total area with land:

= Length × Width

= 3x(x + 20)

= 3x² + 60x.

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Help me with the problem please!!

Answers

Step-by-step explanation:

Scale factor red to blue meaning 42 to 7

42÷7=6

Scale factor is 6

Perimeter of the blue quadrilateral = ?

If perimeter of red = 204

Then we use this following proportion

[tex]204 \div 42 = x \div 7[/tex]

[tex] \frac{204}{42} = \frac{x}{7} [/tex]

Then we cross multiply

42x=7×204

42x=1428

x=34

Area of the blue quadrilateral = ?

If area of the red quadrilateral = 2880

Then we use the following proportion

[tex]2880 \div 42 = x \div 7[/tex]

[tex] \frac{2880}{42} = \frac{x}{7} [/tex]

Then we cross multiply

42x=2880×7

42x=20160

x=480

#18 please I’m not good at math at all

Answers

Answer:

The answer is in the picture.

Step-by-step explanation:

By hand, you can factor it. I did it on a website called Cymath.

Answer:

3x(y - 3)(y + 1)

Step-by-step explanation:

Factor 3x out of 3xy^2

Factor 3x out of -6xy

Factor 3x out of -9x

Factor 3x out of 3x(y^2)+3x(-2y)

Factor 3x out of 3x(y^2-2y) + 3x(-3)

Here are two fractions.
7/6
6/7
Work out which of the fractions is closer to 1
You must show your working.
Here are two fractions.

Answers

The correct answer is 6 / 7 as it is closer to 1.

What is a fraction?

The fraction is defined as the division of the whole part into an equal number of parts.

The number near 1 will be calculated as:-

7/ 6 = 1.1666

6 / 7 = 0.8571

Difference of the first ratio from one.

1.1666 - 1 = 0.1666

Difference of the second ratio:-

1 - 0.8571 = 0.1429

So the difference of 6 / 7 is lower than the difference of the fraction 7 / 6 from one.

Therefore the correct answer is 6 / 7 as it is closer to 1.

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A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.

What was the original height of the water in the pool in feet?
4.5
5.0
6.5
7.0

Answers

An equation is formed of two equal expressions. The original height of the water in the pool in feet is 5.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation, 4.75 = x + (-0.25) can be used to find x, the original height of the water in a pool. Therefore, the height of the fool in the beginning is,

4.75 = x + (-0.25)

4.75 + 0.25 = x

x = 5

Hence, the original height of the water in the pool in feet is 5.

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Other Questions

Evaluate the expression. What it the present value of $2,000 that you expect to receive in 3 years assuming you could invest the money today and earn a 5% annual return?. Write a biography on your favorite author, poet, politician, athlete, or civil rights activist. Also, describe their impact on youth and young adults.2-3 paragraphs Which of the following is NOT an element of art?A. lineB. patternC. colorD. form HCl + Fe + ____ + HSimple Way.Hydrochloric acid + iron --> ______ + hydrogen gas. Answer this question, only if you know. Misuse of points will cost a report. Now that you understand why an effective writing strategy is important, take some time to reflect on your current writing strategy, if you have one. what writing process do you use when you are assigned an essay or paper? Which inequality does the graphrepresent?y2 O 2 x22 period of f(x)=cos(x)+2 The Algebra Club has decided to rent a convention center for their annual Algebra Gala. The cost for the rental will be split evenly among the attendees, which means that the price per person varies inversely with the number of people attending. If 25 people attend, the cost will be $30 per person. How many people would need to attend to get the cost under $20 per person?A) 28B) 38 C) 48 D) 58 Which characteristics are found in many American Indian creation stories? find the distance between the two points in simplest radical form.(3,-8) and (8,4) What would you expect to happen to your Expiratory Reserve Volume when you are treading water in a lake Describe the difference between the rate of diffusion seen for sodium and urea. S 2. Let f(x) = x - kx a. Find a value of k such that the function has a critical point at x = 25. b. Is the above critical point a local maximum, local minimum or neither? Show calculus to support your answer. Fill out the chart please!The dot plot and the box plot shown both represent Manuels data. Determine which visual display is more useful for answering each of the questions listed in the table, and explain your reasons. Write an interesting story which ends with the words ''lt was all a dream If the demand for home gaming system games has dramatically increased in the last month, what scenario is most likely to have happened 4X+8 The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 6x. the university is hanging a banner at the main entrance at an angle defined by the equation 4y = 21 x. at what points should the banner be attached to the archway? Q). Express each of the following recurring decimal as a rational numbers . 1) 0.5 2) 0.13 3) 0.341

Please explain as well!​

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Please explain as well!