Write a piecewise-defined step function f(x) that has the following characteristics:
f(x) has more than one x intercept.
The domain of f(x) is the real numbers.
The range of f(x) consists of four unique integers.

Step-by-step explanation:

the given ratio is

8 / 20/10 = 8 / 2 = 4

for x mathletes we need to keep the same ratio :

x / 30/5 = 4

x / 6 = 4

x = 4×6 = 24

24 mathletes.

Yes, this shape belong in a group of shapes that have more than one perpendicular sides because its sides meet at a right angle.

In Mathematics and Geometry, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles) as shown in the image (see attachment) attached below.

However, it should be noted that it is not all intersecting lines that are perpendicular to each other because the lines may intersect at different angles other than 90 degrees (90°).

By critically observing the geometric shape, we can reasonably infer and logically deduce that it has more than one perpendicular sides.

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All the equivalent fractions.

I'm fairly certain that's correct but check again if you need to and please, correct me if I got something wrong.

The function is 130/2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

According to question,

\(\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}\)

7x7 - 7x0 + 81/4 - 49/4

49 + 32/2

130/2

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Answer:

He needs 3 cups of sugar, so he should use 1 cup less

Step-by-step explanation:

Answer:

40 + 7 = 47.    47 x 8  = 376

8 x 40 = 320      8 x 7 = 56

320 + 56 = 376

They equal the same.

Step-by-step explanation:

8x(40+7)=(8x40)+(8x7)

Answer:

1 Expand by distributing terms.

10-80x+710−80x+7

2 Collect like terms.

-80x+(10+7)−80x+(10+7)

3 Simplify.

-80x+17−80x+17

Step-by-step explanation:

Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Answer:

\(17 = 6x - 7 \\ 17 + 7 = 6x \\ 24 = 6x \\ x = \frac{24}{6} = 4 \\ x = 4 \\ thank \: yo\)

Answer:

x = 3y + 87

Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:

3y = x - 6

y = 1/3x - 2

Your slope is 1/3.

And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.

Thus, y-intercept form is y = 1/3x + 29

Standard form will be: x = 3y + 87

Answer:

 A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5.

Answer: B

Step-by-step explanation:

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of \(x = - 1, 0, 1, 2\) are \(- 5, - 2, 1, 4\) respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

\(y = 3x - 2\)

The given values of \(x = - 1, 0, 1, 2\).

For \(x = - 1, y = 3(- 1) - 2 = - 5\)

For \(x = 0, y = 3(0) - 2 = - 2\)

For \(x = 1, y = 3( 1) - 2 = 1\)

For \(x = 2, y = 3(2) - 2 = 4\)

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

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Step-by-step explanation:

Length of hypotenuse = c

Length of legs = a and b

Hence,

→ a² + b² = c²

→ b² = c² - a²

→ b = √(c² - a²)

First one is correct. [a]

Now,

By Pythagoras theorem,

→ a² + b² = c²

Third one is correct too. [c]

→ a² + b² = c²

→ a² = c² - b²

Second one is also correct. [b]

Step-by-step explanation:

The second leg's length is 12.

Explanation:

Math Warehouse

We'd use the pythagorean theorem to solve for the other leg's length. As the image suggests, we'd use the theorem, a2+b2=c2.

If one leg is 9, that's our a value. 

If the hypotenuse is 15, that's our c value.

Now we just have to find the b value.

Plugging in the variables, 92+b2=152.

92=81.

152=225.

81+b2=225. Subtract 81 from both sides.

b2=144. Square root both sides.

√b2=b and √144=12, so b=12

If 250 Bell laptops are to be produced, then 250 hard drives will be required.

According to the product structure tree for Bell laptops on page 4 of the lecture materials on Master Scheduling and Bill of Materials, the total number of hard drives (01-hdrive) required to produce 250 Bell laptops is 250.Each Bell laptop requires one hard drive to be produced.

Therefore, if 250 Bell laptops are to be produced, then 250 hard drives will be required.

This can be seen in the product structure tree where the hard drive is a sub-assembly of the Bell laptop, and each Bell laptop requires exactly one hard drive. The product structure tree also shows that each hard drive requires a number of components to be produced, such as a hard drive case, a circuit board, and a motor.

These components are also shown as sub-assemblies of the hard drive.

Overall, the product structure tree is a useful tool for understanding the relationships between the components and sub-assemblies that are required to produce a finished product. It provides a detailed breakdown of the product structure, which is essential for effective production planning and scheduling.

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Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

The ordered pair that is the best estimate for the solution to the system is (0.5, -3.5)

Ordered Pair:

An ordered pair refers to a set of two numbers used to locate a point in a coordinate plane. Here the first point refers the x - coordinate and the second value represents the y - coordinate.

Given,

Her we have the equations,

3x - 8y = 29

3x + y = -2

Now, we need to find the solution of the system.

Here we have to use the substitution method in order to solve this one.

For that, we have to rewrite the second equation as,

y = -2 - 3x.

Now, we have to apply the value of y on the equation (1), then we get,

3x - 8(-2 - 3x) = 29

3x + 16 + 24x = 29

27x = 29 - 16

27x = 13

x = 13/27

x = 0.5

When we apply the value of x into the equation, then we get the value of y  as,

y = -2 - 3(0.5)

y = -2 - 1.5

y = -3.5

Therefore, the solution of the system is (0.5, - 3.5).

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Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

\(y = -16x^2 + 212x + 139\) ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

\(\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s\)

Pu x = 6.625 in equation (1).

\(y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet\)

So, the maximum height reached by the rocket is equal to 841.25 feet.

Thus, the number of laps Mary swims now are 5 laps. If Mary swims 5 laps, then John swims 3 laps (since John swims two fewer laps than Mary).

To solve this problem, we need to use algebra. Let's start by defining some variables:

- Let's call the number of laps Mary swims "M".
- Since John swims two fewer laps than Mary, the number of laps John swims is "M - 2".
- If both added 7 laps to their daily swims, Mary would swim "M + 7" laps and John would swim "(M - 2) + 7" laps.

We know that the sum of their laps would be three times as many as Mary now swims, so we can set up an equation:
M + (M - 2 + 7) = 3M

Simplifying the equation, we get:
2M + 5 = 3M

Subtracting 2M from both sides, we get:
5 = M

Therefore, Mary now swims 5 laps.

To check our answer, we can use the information given in the problem.

If Mary swims 5 laps, then John swims 3 laps (since John swims two fewer laps than Mary). If both add 7 laps to their daily swims, Mary will swim 12 laps and John will swim 10 laps.

The sum of their laps would be 22, which is indeed three times as many as Mary now swims (since 22 = 3 x 5).

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Answer:

Step-by-step explanation: Its "C" Or The 3rd Option

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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All types of chi-square-based measure of association can accommodate both discrete and continuous data, and ordinal as well as nominal data.

According to statement

we have explain that the which type of the chi-square-based measure of association can accommodate both discrete and continuous data, and ordinal as well as nominal data.

So,For this purpose, we know that the

A chi-squared test is a statistical hypothesis test that is valid to perform when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test.

it is used in the every type of the data measurement.

And all types of the chi-squared test compare all type of the data set. which are the applicable for the.

So, All types of chi-square-based measure of association can accommodate both discrete and continuous data, and ordinal as well as nominal data.

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Answer:

-9

Step-by-step explanation:

Using the sum/difference property of logarithms, we can rewrite the expression given as:

log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5

Next, we can use the power property of logarithms, and rewrite it again as:

3log b + 3log c - 1.5log a

Now, we can substitute the values of log a, log b, and log c:

3(11) + 3(-9) - 1.5(10)

33 - 27 - 15

-9

Simplifying, we get -9 as the answer.

There are 11 zeros in the given fraction's terminating decimal representation.

To determine the number of zeros to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of  \($\frac{1}{2^5\cdot5^8}$\) , we need to simplify the fraction.

\($\frac{1}{2^5\cdot5^8}$\)  can be rewritten as \($\frac{1}{32\cdot390625}$\) .

To find the decimal representation of this fraction, we divide 1 by the product of the denominators: \($32\cdot390625$\) .

Performing the division, we get:

\($0.000000000000512$\)

In this decimal representation, there are 11 zeros located to the right of the decimal point and before the first non-zero digit, which is 5. Therefore, there are 11 zeros in the given fraction's terminating decimal representation.

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Answer:

most are expected to get nothing

Answer:

You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value

Step-by-step explanation:

Answer:

x isn't equal to 7

Step-by-step explanation:

Since the lines aren't parallel you cant apply the corresponding angles formula therefore there is not enough information to solve for x.

(can I get brainliest now)

Answer:

yes because radius makes 90 degree with it. using Pythagoras theorem, it is seen that 5^2 = 3^2 + 4^2

In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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Answer:

x = 6.3 ft

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, reduction to original.

scale factor = \(\frac{5.2}{10.4}\) = \(\frac{1}{2}\)

Then

x = 12.6 × \(\frac{1}{2}\) = 6.3 ft

Answer:

The answer is 6.3

Step-by-step explanation:

Could you mark me brainiest.

Answer:

Leroy has $1.20 , Aaron has $6.00

Step-by-step explanation:

let Leroy have x , then Aaron has 5x , so

x + 5x = 7.20

6x = 7.20 ( divide both sides by 6 )

x = 1.20

Then

Leroy has $1.20 and Aaron has 5 × $1.20 = $6.00

Firstly, `1 / 2` in most programming languages would result in integer division, yielding 0 instead of the expected 0.5. Secondly, there seems to be a missing operator between `x` and `5` in the expression.

To accurately determine the ending value of `y`, we need to address these issues.

The initial calculation `(1 / 2)` should be modified to `(1.0 / 2)` to ensure floating-point division is performed, resulting in the expected value of 0.5. Additionally, assuming the intended operator between `x` and `5` is subtraction, the expression should be corrected as `(1.0 / 2) * (x - 5)`. With these modifications, the value of `y` can be accurately determined.

if we correct the code by using floating-point division and assume subtraction as the intended operator, the ending value of `y` will depend on the value of `x`. In the given case, with `x = 6`, the expression `(1.0 / 2) * (x - 5)` evaluates to `(0.5) * (6 - 5) = 0.5`, resulting in a final value of `y` equal to 0.5.

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