Knowledge and Understanding 14. Simplify (1112 - 6vw - 3wa)-(-702 + vw + 13w). 15. Which of the following is equivalent to the expression (5a + 26 - 4c)? a. 25a2 + 20ab - 40ac +482 - 16bc + 1602 b. 25a2 + 10ab - 20ac + 482 - 86C + 16c2 + c. 25a2 + 482 + 1602 d. 10a + 4b-8c 16. Expand and simplify. (b + b)(4 - 5)(25 - 8) 17. Simplify. P-2 3p + 3 X 9p +9 P + 2 3r2 - 18. Simplify. 63 62 po* + 5m3 - 15r + 12 2m2 + 2r - 40 19. Simplify. xi21 4 X + 2 3 x-1

Resulting function is y = -(1/5)e⁴ˣ - 4, which can be written in the form y = \(ce^{ax}\) + b as y = (-1/5)e⁴ˣ - 4.

To transform the given function y = e⁴ˣ according to the given conditions, we will perform the following steps:

1. Vertically compress With a factor of 5:
y = (1/5)e⁴ˣ

2. Reflect across the x-axis:
y = -(1/5)e⁴ˣ

3. Shift down 4 units:
y = -(1/5)e⁴ˣ - 4

So the resulting function is y = -(1/5)e⁴ˣ - 4, which can be written in the form y = ceᵃˣ + b as y = (-1/5)e⁴ˣ - 4.

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D has a number of 9. However, the symbol "?" in the question denotes an unknown number that must be entered. As a result, we are unable to respond.

a. Let x be the value of a. Then, we can write the equation:   \(0.2x = 11\) . Solving for x, we get:

\(x = 11 / 0.2 = 55\)

Therefore, the value of a is 55. However, the question asks for the value of o, which is not given. Therefore, we cannot provide an answer.

b. Let x be the value of b. Then, we can write the equation:  \(0.75x = 12.\)  Solving for x, we get:

\(x = 12 / 0.75 = 16\)

Therefore, the value of b is 16.

c. Let x be the value of c. Then, we can write the equation: 0.8x = 20. Solving for x, we get:

\(x = 20 / 0.8 = 25\)

Therefore, the value of c is 25. However, the question asks for the value of e, which is not given. Therefore, we cannot provide an answer.

d. Let x be the value of d. Then, we can write the equation: 2x = 18. Solving for x, we get:

\(x = 18 / 2 = 9\)

Therefore, the value of d is 9. However, the question asks for an unknown value, represented by the symbol "?". Therefore, we cannot provide an answer.

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Answer:

90x

Step-by-step explanation:

15*6*x

15*6 = 90

90x is the volume expression

Answer: 90x

15*6*x

15*6 = 90

90x is the volume expression

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

Calculate the area of each triangle:

Area of a triangle: 1/2 x base length x heigth

A1 = 1/2 x 8 x 7 = 28

A2 = 1/2 x 9 x 6 = 27

She should buy the second flag (b)

The power of a that makes it equal to b is x = 5/6

The square root of a number is a number when multiplied by itself gives another number.

The cube root of a number is a number when multiplied by itself three times gives another number.

The power of a number is the exponent of that number

Since two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b. It follws that

4√a = 9∛b

⇒∛b = 4√a/9

⇒ b = ∛[4√a/9]

Since we require the  of x is a, to the x power equal to b if a = 2/3.

This implies that

aˣ = b

Substituting b into the equation, we have

aˣ =  ∛[4√a/9]

Since a = 2/3, we have

(2/3)ˣ =  ∛[4√(2/3)/9]

(2/3)ˣ =  ∛[4/9 × √(2/3)]

(2/3)ˣ =  ∛[2²/3² × √(2/3)]

(2/3)ˣ =  ∛[(2/3)² × √(2/3)]

(2/3)ˣ =  ∛[2/3)

\((\frac{2}{3} )^{x} = \sqrt[3]{(\frac{2}{3} )^{2 + \frac{1}{2}} } \\(\frac{2}{3} )^{x} = \sqrt[3]{(\frac{2}{3} )^{\frac{5}{2}} } \\(\frac{2}{3} )^{x} = (\frac{2}{3} )^{\frac{5}{2} \times \frac{1}{3} } \\(\frac{2}{3} )^{x} = (\frac{2}{3} )^{\frac{5}{6}\)

Equating both powers, we see that x = 5/6

So, the power of a is x = 5/6

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Answer:

\({ \mathfrak{answer \: \dashrightarrow \: { \rm{y = \frac{2}{5} x + 1}}}} \\ \)

Step-by-step explanation:

• General linear equation:

\({ \rm{y = mx + b}}\)

\({ \rm{m = \frac{3 - 1}{5 - 0} }} \\ \\ { \rm{m = \frac{2}{5} }}\)

Consinder point (0, 1)

\({ \rm{y = mx + b}} \\ \\ { \rm{1 = 0 + b }} \\ \\ { \rm{b = 1}}\)

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4

Answer:

Not Linear

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Answer:

That equation is nonlinear.

Step-by-step explanation:

Using the empirical rule, we can estimate the percentage of women with platelet counts within certain ranges based on the mean and standard deviation of the distribution. In this case, we are interested in finding the approximate percentage of women with platelet counts within 1 standard deviation of the mean and between specific values.

The empirical rule states that for a bell-shaped distribution (normal distribution), approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% falls within 2 standard deviations, and approximately 99.7% falls within 3 standard deviations.
(a) For the platelet counts within 1 standard deviation of the mean, we can calculate the approximate percentage as follows:
Percentage = 68%
(b) To find the approximate percentage of women with platelet counts between 579 and 4569, we need to determine the number of standard deviations these values are away from the mean. We can then use the empirical rule to estimate the percentage. First, we calculate the z-scores for the given values:
Z-score for 579 = (579 - 257.4) / 66.5
Z-score for 4569 = (4569 - 257.4) / 66.5
Once we have the z-scores, we can refer to the empirical rule to estimate the percentage. However, without the specific z-scores or further information, we cannot provide an accurate estimate.
In summary, the approximate percentage of women with platelet counts within 1 standard deviation of the mean is 68%. Without specific z-scores, we cannot determine the approximate percentage of women with platelet counts between 579 and 4569.

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Answer:

The equation of the relationship is y = 1.25x + 6.5

Step-by-step explanation:

I graphed the ordered pairs on the graph below and found the slope and y-intercept of the line.

The price per game is $7.75. (If needed)

Answer:The ratio of the area of the small circle to that of the bigger circle is 25:36.

Step-by-step explanation:

The formula which describes the given situation is A = 300 \(e^{0.06t}\) . The solution is obtained by using compound interest.

What is compound interest?

Unlike simple interest, which does not take the principal into account, compound interest does so when calculating the interest for the following month. Compound interest is sometimes represented by the letter C.I. in algebra.

We know that the formula for compound interest is

A = P\(e^{rt}\)

In the question, we are provided with the following information

P = $300

r = 0.06

So, from this we get

A = 300 \(e^{0.06t}\)

Hence, the formula which describes the given situation is A = 300 \(e^{0.06t}\) .

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Answer:

$291.51

Step-by-step explanation:

So, as Erin earns $10 per hour, she worked 32 hours and earned $320.

32x10=320.

After taxes, (the bane of our life!) it'll be 320-28.49=

$291.51

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Answer:

F

Step-by-step explanation:I just took the test

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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Answer:

BF AND FG are the perpendicular because it is 90degree

Answer:

3rd option

Step-by-step explanation:

perpendicular means at 90 degree angles, all the other options are parallels

Hope this helped! pls give branliest so i can level up

Answer:

9 and -4

Step-by-step explanation:

Finding these 2 numbers can be found by guessing and checking. By doing this, it will get you the numbers 9 and -4.

First, test if they multiply to -36:

9(-4)

= -36

Then, check if they add up to 5:

9 + (-4)

= 5

So, 9 and -4 are the 2 numbers that multiply to -36 and add to 5

In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.

In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.

The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.

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Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

first one is 8 second one is 28

Step-by-step explanation:

correct on edge

The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it should be noted that a proportional relationship exist between the figures that are given.

Therefore, the constant will be:

= Cost / Number of sheet

= 12.75 / 5

= 2.55

Therefore, the equation is y = 2.55x

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Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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Answer:     the answer is X^2 • Y^2 • Z^2.

Step-by-step explanation:

Expanding the expression (xyz)^2, we get:

(xyz)^2 = (xyz) x (xyz)

(xyz)^2 = x^2 y^2 z^2

The lateral area of the given square based pyramid is 100 square inches.

In the given figure, edge of square base is 10 inches and slant height (l)= 5 inches.

We know that, the lateral area of a square pyramid = 2al.

Substitute a=10 inches and l=5 inches in the lateral area of a square pyramid formula, we get

2×10×5

= 100 square inches

Therefore, the lateral area of the given square based pyramid is 100 square inches.

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