How many times does 42 fit into 400.

Answer:

D. 491.52

Step-by-step explanation:

The value of 151.8% of £613.71 is £931.55.

An informed estimate or a flimsy explanation for a phenomena or observation that may be evaluated by more research is called a hypothesis. It serves as the basis for scientific inquiry and is often formed using known facts and observations.

A theory, on the other hand, is a proven explanation for a phenomenon or group of occurrences that has undergone significant testing and is backed by empirical data. A theory may be thought of as a framework that predicts and explains how and why things happen the way they do.

Given that, 151.8% of £613.71

To find the value, first convert the percentage to a decimal by dividing it by 100:

151.8 ÷ 100 = 1.518.

Multiply this decimal by:

£613.71: 1.518 × £613.71 = £931.55

Hence, the value of 151.8% of £613.71 is £931.55.

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The value of the principal investment is given as follows:

$5,725.90.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for this problem are given as follows:

t = 15, A(t) = 12065.51, r = 0.05, n = 4.

Hence the principal can be obtained as follows:

P(1 + 0.05/4)^(4 x 15) = 12065.51

2.1072P = 12065.51

P = 12065.51/2.1072

P = $5,725.90

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Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

Answer:

9 , 7, 3, -15

Step-by-step explanation:

the bigger the number before the zero the lesser value it has and any number after the zero has more value

Answer:

C

Step-by-step explanation:

All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.

If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25

Answer:

2/3 i guess

Step-by-step explanation:

I'm going to assume you start with

\(\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|}\)

Let's simplify some pieces of this:

\(6^2 = 6\times6 = 36\)

\(\sqrt{25} = \sqrt{5^2} = 5\)

\((3 - \sqrt{25})^2 = (3 - 5)^2 = (-2)^2 = (-2)\times(-2) = 4\)

\(|4 - 8| = |-4| = 4\)

So as a first step we can reduce this to

\(\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|} = \dfrac{36-4\times4}4\)

Now,

\(36 = 9\times4\)

so every term contains a factor of 4 that we can cancel:

\(\dfrac{36-4\times4}4 = \dfrac{9\times4-4\times4}4 = \dfrac{9-4}1 = 9-4 = \boxed{5}\)

as expected.

Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

use air math it helps alot!

Step-by-step explanation:

Answer:

x ≤ 435

Step-by-step explanation:

Let the capacity of the theater be represented by x. The movie theater has a  capacity of 435, which implies that it can hold nothing more than  or maximum of 435 people. Thus the number of people for the theater could be less than 435, but not more than 435.

Expressing this with inequality, we have;

x ≤ 435

where x is the movie theater capacity.

Answer:

17.3

Step-by-step explanation:

square root of 300 is 17.32050808

17.32050808 rounded is 17.3

Answer:

the trapezoid

Step-by-step explanation:

area of trapezoid = 672

area of kite = 648

the formula for the kite area is 1/2×diagonal 1×diagonal 2

the formula for the trapezoid area is 1/2×(base 1 +base 2)× height

The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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The true statements about the mean are second, third, and fourth.

It is algebraically described (that is, there is an equation we can use to calculate its value).

It is commonly directed as the arithmetic average.

It can be utilised for data that are calculated on a nominal scale. The mean is appropriate for data that are measured on an interval or ratio scale but not for data that are measured on a nominal scale. Nominal scale data are categorical and do not have a meaningful order or distance between categories.

The following statement about the mean is sometimes true, sometimes false:

It always resembles an actual score in the data. This depends on the specific data set and the value of the mean. If the mean is a value that appears in the data, then it corresponds to an actual score in the data. If the mean is not a value that appears in the data, then it does not correspond to an actual score in the data.

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Answer:

concave up and real roots

option D: Horizontal scale: 1 unit = 10, Vertical scale: 1 unit = 10 is the correct answer.

To determine an appropriate horizontal scale and vertical scale for the viewing window, one must analyze the problem, the graph, and the data presented in the problem. The appropriate horizontal scale and vertical scale for the viewing window is given by option D, that is Horizontal scale: 1 unit = 10, Vertical scale: 1 unit = 10. The horizontal scale and vertical scale refer to the scale of the x-axis and y-axis of the graph. These scales are used to represent data in a graphic format that can be easily understood by readers. The horizontal scale is used to determine the value of the x-axis in the graph. The vertical scale is used to determine the value of the y-axis in the graph. The scale should be chosen based on the range of values in the graph. When the values in the graph are too small or too large, the scale must be adjusted accordingly. In this case, since the values of horizontal and vertical scale are large, the scale must be adjusted accordingly. Therefore, option D is the correct answer.

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The size of the horizontal and vertical scales should be chosen so that the graph fits in the viewing window. So, that is why the answer is "b. Horizontal scale: 1 unit = 5, Vertical scale: 1 unit = 10."

When graphing a function, it is important to choose an appropriate horizontal scale and vertical scale for the viewing window. The answer is "b. Horizontal scale: 1 unit = 5, Vertical scale: 1 unit = 10."Why is the answer (b) Horizontal scale: 1 unit = 5, Vertical scale: 1 unit = 10?The answer to this question is based on the graph. It is more appropriate to use (b) horizontal scale: 1 unit = 5, vertical scale: 1 unit = 10. In this situation, the x-axis should have a horizontal scale of 1 unit = 5 so that the x-axis can fit within the viewing window. Meanwhile, the y-axis should have a vertical scale of 1 unit = 10 so that the entire graph can fit in the viewing window.

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An inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk is 49.3 + 4.8r < 74.5.

The solution set of the inequality is r < 5.25.

Based on the information provided, we can reasonably infer and logically deduce that the total number of clockwise rotation of the knob on the chair that would raise Ignacio's legs by 4.8 cm is given by:

49.3 + 4.8r

Since Ignacio's legs are not expected to touch the floor, an inequality which can be used for determining the number of clockwise rotations (r) is given by this mathematical expression:

49.3 + 4.8r < 74.5

4.8r < 74.5 - 49.3

4.8r < 25.2

r < 5.25

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Complete Question:

The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8cm. Write an inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk.

the value of 2 by 7 and 3 by 7 is: 5/7. This can be solved using the concept of fraction of addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

the value of 2 by 7 and 3 by 7 is:

= (2/7) + (3/7)

= 5/7

When adding the fractions 2/7 and 3/7 we get 5/7, as the denominator is same.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

6^8

Step-by-step explanation:

When you have a power to another power, you multiply them.

Answer:

\(6^{8}\)

Step-by-step explanation:

Using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\) , then

\((6^{2}) ^{4}\) = \(6^{2(4)}\) = \(6^{8}\)

Answer:

r/r+s

Step-by-step explanation:

a/b is essentially a/a+x,  where x is (b-a) + a

so,

a/b = r/r+s  

Answer:

log₃(-2x - 3) = 2

Step-by-step explanation:

logₓ(36) = 2:

To solve this equation, we need to find the value of x for which logₓ(36) equals 2. Rewriting this equation in exponential form, we have x² = 36. Taking the square root of both sides gives us x = 6.

log₃(2x - 9) = 3:

3^(log₃(2x - 9)) = 3³

By applying the property of logarithms that states logₓ(x^a) = a, we can simplify the equation further:

2x - 9 = 27

Now, let's solve for x:

2x = 27 + 9

2x = 36

x = 36/2

x = 18

log₃(216) = x:

log₃(6³) = x

3log₃(6) = x

3 + 3log₃(2) = x

log₃(-2x - 3) = 2:

- 2x - 3 = 3²

- 2x - 3 = 9

- 2x + 3 = 9 + 3

- 2x = 9 + 3

- 2x = 12

- 2x / -2 = 12/-2

x = -6

In summary, the equation that has x = -6 as the solution is the last equation: log₃(-2x - 3) = 2

Answer:

y = -2  for  -2 < x ≤ -1

Step-by-step explanation:

Ceiling function

\(f(x) = \left\lceil x \right\rceil\)

The least integer that is greater than or equal to x.

Given ceiling function:

\(f(x) =\left\lceil x-1 \right\rceil\)

Evaluate values in the given intervals.

\(\boxed{-4 \leq x < -3}\)

\(\implies f(-4) =\left\lceil -4-1 \right\rceil=\left\lceil -5 \right\rceil=-5\)

\(\implies f(-3.1) =\left\lceil -3.1-1 \right\rceil=\left\lceil -4.1 \right\rceil=-4\)

\(\boxed{-2 \leq x < -1}\)

\(\implies f(-2) =\left\lceil -2-1 \right\rceil=\left\lceil -3 \right\rceil=-3\)

\(\implies f(-1.1) =\left\lceil -1.1-1 \right\rceil=\left\lceil -2.1\right\rceil=-2\)

\(\boxed{-2 < x \leq -1}\)

\(\implies f(-1.9) =\left\lceil -1.9-1 \right\rceil=\left\lceil -2.9 \right\rceil=-2\)

\(\implies f(-1) =\left\lceil -1-1 \right\rceil=\left\lceil -2 \right\rceil=-2\)

\(\boxed{-4 < x \leq -3}\)

\(\implies f(-3.9) =\left\lceil -3.9-1 \right\rceil=\left\lceil -4.9 \right\rceil=-4\)

\(\implies f(-3) =\left\lceil -3-1 \right\rceil=\left\lceil -4\right\rceil=-4\)

Therefore, the step that is included in the graph of the given ceiling function is:  y = -2  for  -2 < x ≤ -1.

Graph of the parent ceiling function f(x) = ⌈x⌉

The graph of the parent function has open dots at (x, x+1) and closed dots at (x, x). Each segment is joined with a horizontal line (step).

The open dot means the value is not included, whereas the closed dot means the value is included.

To graph the given ceiling function f(x) = ⌈x - 1⌉

(See attachment).

From inspection of the attached graph of the given ceiling function:

This proves that the only step that is included in the graph of the given ceiling function from the given answer options is:  

Increasing the sample size has an effect on the standard error, but other factors determine whether the increased sample size will increase or decrease the standard error.


The standard error is a measure of the variability of the sample mean. When the sample size is increased, the standard error generally decreases because a larger sample size provides more precise estimates of the population mean. However, other factors such as the variability of the population and the sampling method used can also affect the standard error.

For example, if the population variability is high, increasing the sample size may not have a significant impact on reducing the standard error. On the other hand, if the population variability is low, increasing the sample size can lead to a substantial decrease in the standard error.

In summary, increasing the sample size generally decreases the standard error, but the magnitude of this effect depends on other factors such as population variability and sampling method.

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Answer:

(−∞,∞)

Step-by-step explanation:

y = x² - 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

So, the domain of this quadratic function is: (−∞,∞)