Help!!!!!!!!!!!!!!!!!!111

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

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Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

4

Step-by-step explanation:

You have two things. Then add two more things. All together it is 4.

Hope this helps plz mark brainliest :D

Answer:

12.25

Step-by-step explanation:

3.5*3.5=12.25

Answer:

12.25m^2

Step-by-step explanation:

3 1/2 × 3 1/2

3 1/2 is equivalent to 7/2

7/2 × 7/2= 49/4

this simplifies to 12.25

answer: 12.25 m^2

The new graph after the given transformations would have an equation; y = -f (x + 2).

It follows from the task content that the pre-image graph; y = f (x) is to be translated 2 units to the left and afterwards reflected across the X axis.

First, when a function, f (x) is translated k units to the left, the resulting function is; f (x + k).

Hence, when the graph is translated w units to the left, the resulting function is; y = f (x + 2).

Additionally, when a function, f (x) is reflected across the x-axis, the resulting function is; -f (x).

Ultimately, the resulting graph upon reflection over the x-axis is; y = -f (x + 2).

Complete question: The graph is reflected over the x-axis.

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The next three numbers of sequence is,

⇒ 2.8, 8.4, 8.2

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Now,

Since, The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Clearly, The pattern of the sequence is,

⇒ 0.4 - 0.2 = 0.2

⇒ 0.2 × 3 = 0.6

⇒ 0.6 - 0.2 - 0.4

⇒ 0.4 × 3 = 1.2

⇒ 1.2 - 0.2 = 1.0

⇒ 1.0 × 3 = 3.0

⇒ 3.0 - 0.2 = 2.8

⇒ 2.8 × 3 = 8.4

⇒ 8.4 - 0.2 = 8.2

Thus, Next three terms of the sequence is,

⇒ 2.8, 8.4, 8.2

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The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

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Answer:

a) 0.0171 fluid ounces.

b) 0% probability that the average fill volume of 22 bags is below 5.95 ounces

c) The mean should be of 6.153 fluid ounces.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 0.08 fluid ounces.

This means that \(\sigma = 0.08\)

(a)What is the standard deviation of the average fill volume of 22 bags?

This is s when n = 22. So

\(s = \frac{\sigma}{\sqrt{n}}\)

\(s = \frac{0.08}{\sqrt{22}}\)

\(s = 0.0171\)

(b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 22 bags is below 5.95 ounces?

We have that \(\mu = 6.16\). The probability is the p-value of Z when X = 5.95. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{5.95 - 6.16}{0.0171}\)

\(Z = -12.3\)

\(Z = -12.3\) has a p-value of 0.

0% probability that the average fill volume of 22 bags is below 5.95 ounces.

(c)What should the mean fill volume equal in order that the probability that the average of 22 bags is below 6.1 ounces is 0.001?

\(X = 6.1\) should mean that Z has a p-value of 0.001, so Z = -3.09. Thus

\(Z = \frac{X - \mu}{s}\)

\(-3.09 = \frac{6.1 - \mu}{0.0171}\)

\(6.1 - \mu = -3.09*0.0171\)

\(\mu = 6.153\)

The mean should be of 6.153 fluid ounces.

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer: 87

Step-by-step explanation:

3,132/9 = 348

348x1.5 = 522

522-435 = 87

i think?

Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

Okay, here we have this:

Considering the provided information, we are going to calculate the expected value for the game, so we obtain the following:

We will substitute in the following formula:

Expected Value=(Black Gain)*Black Chance (Gold Gain)*Gold Chance+(Silver Gain)*Silver Chance

Expected Value=(-1)*(25/33)+(3)*(1/33)+(2)*(7/33)

Expected Value≈-0.24

Finally we obtain that the expected value is approximately $-0.24.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following functions:

We calculate each operation, just like this:

Answer:

D

Step-by-step explanation:

Answer:0

Step-by-step explanation:

because 3x+1 is 0

The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.

Answer:

22 is the avrage rate of elavation change in feet per second if a sumbarine dives 440 feet in 20 seconds

-22 is the avrage temature change in degrees

440 is the avrage distance in miles

2.20 is the boys height if that makes sense

Step-by-step explanation:

if it dosent make sent om sorry

Answer:

x = 10.5

Step-by-step explanation:

3x - 30 = 1.5

3x = 31.5

x = 10.5

Why have I matched each word to its corresponding example in the chart based on their meanings?

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Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

\(f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx\)

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

If a person from this group is selected at random, the probability that this person has type AB blood is 0.0928

From the question we have the total number of persons that there blood types have been collected as 700.

The number of people that have the AB blood type is given as 65.

Hence the probability would be

65 / 700

= 0.0928.

This is the term that is used in the field of mathematics to refer to the likelihood of something occurring. It tells us of the chances that may be present that would show that a certain phenomenon would occur.

Hence the probability is 0.0928

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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answer is D i just took the test and i got it right

The correct option is (D). On average, the number of breakdowns per day varies from the mean by about 0.28.

Because standard deviation represents the typical distance between each data point and the mean.

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is.

So, the correct answer is On average, the number of breakdowns per day varies from the mean by about 0.28.

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Answer:

Step-by-step explanation:

The sample space is known to be the set of all possible outcomes of an experiment we cannot predict its outcome while the event space showcases the subset of the sample space, this may be a collection of outcomes of a random experiment.

From the given information:

The sample space = {SH, SL, SN, MH, ML, MN,UH, UL, UN}

The event that the emissions check is satisfactory = {SH, SL, SN}

Recall that to divide two fractions we use the following formula:

Therefore:

Answer: 1.

Answer: f(x)=2^x+5

Step-by-step explanation:

math

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

-18

Step-by-step explanation: