which statement is equivalent to the inequality | x-3 | > 5

Including a triangle and rectangle, the area of this composite shape will be 136 cm².

What exactly is a rectangle?

A rectangle is a geometric shape that is defined as a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and equal in length.

Rectangles are a type of parallelogram because their opposite sides are parallel. However, what distinguishes rectangles from other parallelograms is that all four of their angles are right angles.

Now,

The area of the composite shape will be equal to the sum of area of triangle and area of rectangle

so,

To find the area of a rectangle, the length of the rectangle is 16 cm and the width is 7 cm, so the area is:

Area = Length x Width = 16 cm x 7 cm = 112 square cm

Therefore, the area of the rectangle is 112 square cm.

As area of a triangle is :

Area = (1/2) x Base x Height

where "Base" and "Height" are the length of the base and the height of the triangle, respectively.

Substituting the given values, we have:

Area = (1/2) x 8 cm x 6 cm = 24 square cm

Therefore, the area of the triangle is 24 square cm.

Then

Area of shape=112+24

=136 cm²

hence,

          the area of this composite shape will be 136 cm².

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The values of a and b are :

\(a = \sqrt{3} \\ \\ •\sqrt{3} b = - 1 \\ \\ b = \frac{ - 1}{ \sqrt{3} }. \)

Answer:

a) 2.083

b) 4.713

I hope this helps. :) ( I also multiplied them to check)

Answer:  A

Step-by-step explanation:

Answer:

f(f(-1)) = 0

Step-by-step explanation:

Ok I'm assuming that's supposed to be a chart of some kind.  So first, you have to find what f(-1) is according to the chart.  

According to the chart, if x = -1, then f(-1) is -5

Now comes the next part of the equation.  So you need to find f(-5)

-5 was already founded by f(-1) bc it's first in the parantheses.

f(-1) is -5

so we need to find f(-5)

According to the chart f(-5) is 0

So ur final answer is gonna be 0

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer:

45% increase

Step-by-step explanation:

|140 - 203|/140 = 63/140 = 0.45 = 45%

The number of ways to arrange the school dance committee in a row at a meeting is 3,110,400.

To arrange a school dance committee for a meeting, there are 3 groups of students: freshmen, sophomores and juniors. Each group must sit together by grade and there are 6, 3, and 2 students in each group, respectively.

The two seniors can sit anywhere. Effectively, there are 5 people (3 groups of students and 2 seniors).

Therefore the total number of permutations is the product of these arrangements, which is:

Thus, there are 3,110,400 ways to arrange the school dance committee for the meeting, given the constraints that the freshmen, sophomores, and juniors must sit together by grade & the seniors can sit anywhere.

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Answer: It should be you lost 2.8 million dollars

Step-by-step explanation:

The two lengths that separate the top 10% and the bottom 10% are  3.25 cm and 3.04 cm.

This is used to measure how different an individual data point is from the mean of the data set and is a helpful tool when comparing data points to each other.

To find the two lengths, we start by finding the z-scores that correspond to the top 10% and the bottom 10%. The z-score for the top 10% is 1.28 and the z-score for the bottom 10% is -1.28. We then use these z-scores to find the two lengths.

To find the two lengths, we use the following formula:

length = mean + (z-score * standard deviation)

For the top 10%:

length = 3.15 + (1.28 * 0.08)

length = 3.25 cm

For the bottom 10%:

length = 3.15 + (-1.28 * 0.08)

length = 3.04 cm

Therefore, the two lengths that separate the top 10% and the bottom 10% are 3.25 cm and 3.04 cm.

These lengths could serve as limits used to identify which nails should be rejected.

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Answer:

2 or 4

Step-by-step explanation:

The probability that both will experience allergies to pollen is 0.0484, and the probability that at least one will is 0.9516.

The following information is provided in the question:

A large country has a pollen allergy rate of about 22%.

As a result, the probability of people has a chance of having an allergy is  0.22.

P(allergic) = 0.22

P(Not allergic) = 1 - 0.22 = 0.78

If A and B are independent even, then,

P(A∩B) = P(A) × P(B)

Two people are randomly selected.

a) P( both will be allergic to pollen)

Since these are independent events,

P(both will be allergic to pollen)= P(allergic)*P(allergic)

= 0.22*0.22 =  0.0484

b) P(at least one person is allergic to pollen)

= 1 - P(both are not allergic to pollen)

= 1 - P(P(not allergic)*P(not allergic))

= 1 - (0.22*0.22)

= 0.9516

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The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).

It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.

Recall that the contractor has two options for billing a completed job. They are:

Let us fix x hours to be required for completing the project:

Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.

Stating this mathematically, e have

25x < 500 when x < 20.

This mean that

25x < 500 when x < 20.

Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars

We find that

25x<500 if x<20

This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.

Hence the correct answer is Option C.

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Answer:

C

Step-by-step explanation:

just took the test

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A toy rocket is shot upward up high from a take-off platform 3 feet over the ground with an underlying speed of 48 feet each second. The level h, in feet, of the rocket over the ground at t seconds after send-off is given by the capability h(t) = - 16t² + 48t + 3.

Differentiate the function and put it equal to zero.

h'(t) = 0

-32t + 48 = 0

32t = 48

t = 1.5 seconds

Then the maximum height is given as,

h(1.5) = - 16(1.5)² + 48(1.5) + 3

h(1.5) = 39 feet

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

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The bits pattern "0*0b000000" does not represent a valid floating-point number as it does not adhere to the standard format of floating-point representation. In floating-point representation, there are typically three components: a sign bit, an exponent, and a significand (also known as the mantissa).

In the given pattern "00b000000," it appears that there are no bits representing the exponent or significand, which means essential information is missing to interpret it as a floating-point number. Additionally, the "0" part is unclear and doesn't conform to the standard notation.

This, to represent a valid floating-point number, it is necessary to have a well-defined format that includes all the required components (sign, exponent, and significand) according to a specific floating-point representation scheme, such as IEEE 754.

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The sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a sandbox:

The length of the sandbox = 4 feet

The width of the sandbox = 6 feet

The height of the sandbox = 2 feet

Amount of sand can hold = volume of the sandbox

= 4×6×2

= 48 cubic feet

Thus, the sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

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Based on the given options, the statement that best describes the regression cannot be determined without additional information.

The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors

This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.

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The indefinite integral of (5x)ⁿ x sin(4x⁵)dx can be evaluated as an infinite series by using the Maclaurin series for sin(x), which is given by: `sin(x) = x - x³/3! + x⁵/5! - x⁷/7! + ...`Substituting `4x⁵` for `x` in the above equation, we get: `sin(4x⁵) = 4x⁵ - (4x⁵)³/3! + (4x⁵)⁵/5! - (4x⁵)⁷/7! + ...`Thus,

the given integral becomes:

\(`∫ (5x)ⁿ x sin(4x⁵)dx = 5∫ xⁿ (4x⁵ - (4x⁵)³/3! + (4x⁵)⁵/5! - (4x⁵)⁷/7! + ...)dx = 20∫ xⁿ x⁵dx - 20(4/3!)\)

∫ xⁿ x¹⁵dx + 20(4⁵/5!) ∫ xⁿ x²⁵dx - 20(4⁷/7!) ∫ xⁿ x³⁵dx + ...`Evaluating the integrals on the right-hand side using the power rule, we get:

`20∫ xⁿ+⁵dx - 20(4/3!) ∫ xⁿ+¹⁵dx + 20(4⁵/5!) ∫ xⁿ+²⁵dx - 20(4⁷/7!)

∫ xⁿ+³⁵dx + ... = 20((xⁿ+⁶)/(n+6)) - 20(4/(n+16)(n+15)(n+14)(n+13)(n+12))xⁿ+¹⁵ + 20(4⁵/(n+26)(n+25)(n+24)(n+23)(n+22)(n+21))xⁿ+²⁵ - 20(4⁷/(n+36)(n+35)(n+34)(n+33)(n+32)(n+31)(n+30))xⁿ+³⁵ + ... + C`

Therefore, the indefinite integral of (5x)ⁿ x sin(4x⁵)dx can be evaluated as the infinite series: `∫ (5x)ⁿ x sin(4x⁵)dx = Σ[20((xⁿ+⁶)/(n+6)) - 20(4/(n+16)(n+15)(n+14)(n+13)(n+12))xⁿ+¹⁵ + 20(4⁵/(n+26)(n+25)(n+24)(n+23)(n+22)(n+21))xⁿ+²⁵ - 20(4⁷/(n+36)(n+35)(n+34)(n+33)(n+32)(n+31)(n+30))xⁿ+³⁵ + ...] + C`where `Σ` denotes the sum from `n = 0` to infinity.

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Answer:

(-4.5+4.2)+(5.6-7.3) = -2

Step-by-step explanation:

(-4.5+4.2)+(5.6-7.3) = -2

                                =  - 3/10 + - 1  7/10

                                =   - 3/10 - 1  7/10                  

                                =   -2

Answer:

(-4.5+4.2)+(5.6-7.3) = -2

Step-by-step explanation:

(-4.5+4.2)+(5.6-7.3) = -2  

=  - 3/10 + - 1  7/10

=   - 3/10 - 1  7/10                  

 =   -2

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Answer:

10,000

Step-by-step explanation:

10 x 10 x 10 x 10

Answer:

81 times its common sense but you dont have nun.

Answer:

y=-3x+6

Step-by-step explanation:

Answer:

45/58.4

Step-by-step explanation:

Answer: part 1: 45/54.8.

Part 2: 55.2

Step-by-step explanation:

Edge

Answer:

The answer is 0.385

Step-by-step explanation:

because i use the butterfly method if that's helps

Answer:

7.855, 8.6072, 8.67, 8.7

Answer:

numbers from least to greatest.

are:

Answer:

Nine and 35 hundredths of water

Step-by-step explanation:

Answer:

9.35 --->  Nine and thirty-five hundredths

Answer:

A is equal to 26

Step-by-step explanation:

B equals 8 and two thirds or 8 2/3

Answer:

1: 4:15

2: 4/15

Step-by-step explanation:

I think Im right. I hope this helps you out!

Answer:

The ratio of side lengths is 4:15

The ratio of areas as a fraction is 16/225

Step-by-step explanation:

We can probably assume the triangles are similar. If that is the case, the smaller triangle is 4/15s the size of the blue triangle. That makes the ratio 4:15.

As for the ratio of areas, areas are expressed in length^2. Inches squared, centimeters squared, meters squared, or whatever length. It is always a length squared.

Similarly, the ratio of the length can be squared to give the ratio of the areas. The ratio of the areas is 4^2 / 15^2 = 16/225

Answer:

x = 6

Step-by-step explanation:

To solve the two-step equation 3(x-10)=-12, we need to use inverse operations to isolate the variable x.

First, we will simplify the expression inside the parentheses by distributing the 3.

3(x-10) = -12

3x - 30 = -12

Next, we will add 30 to both sides to isolate the variable term.

3x = 18

Finally, we will divide both sides by 3 to solve for x.

x = 6

Therefore, the solution to the equation 3(x-10)=-12 is x = 6.