Is ab parallel to cd? explain.

yes, because both lines have a slope of 4/3.
yes, because both lines have a slope of 3/4
no, because the slopes of the lines are not equal.
no, because the slopes of the lines are not opposite reciprocals of each other.

don't copy answers off of sites, otherwise i'd report you

The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

x minus four

Step-by-step explanation:

can i have brainliest plz?

Answer and Step-by-step explanation:

The word form of the expression X - 4 is:

X minus four.

It can also be written as:

Some number minus four. (By user: iwaoiismyotp)

Any number in place of x minus 4.

A value substituted for x minus 4.

#teamtrees #PAW (Plant And Water)

Based on the fictitious study of gender and ear piercing in high school students, we can conclude that the sample provides evidence that is too weak to conclude that gender and ear piercing are dependent in the population of high school students. Gender and ear piercing for high school students may be independent.

The study did not provide strong evidence that gender and ear piercing for high school students are dependent. In addition, the differences between observed and expected counts could be attributed to chance variation that occurs in random samples of high school students when gender and ear piercing are independent.

Therefore, the conditions are not met for use of the chi-square test of independence, and we cannot draw a conclusion based on this data.

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Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

Answer:

The price for an adult ticket is 10 dollars and  and a student is 7

Step-by-step explanation:

The reason is 6 times 10 = 60 ad 4 x 7 = 28 and 28 plus 60 = 88

your welcome :)

1. 22/25

2. -1 1/4

3. -1 7/10

4. 1 5/6

5. 1 2/3

Answer:

Step-by-step explanation:

1= 22/25

2= -1 1/4

3= - 1 7/10

4= 1 5/6

5= 1 2/3

Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.

However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.

Hence, the measure of arc BC is 102°.

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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.

When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.

In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.

To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.

In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.

Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.

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The probability of selecting 3 digit area code at random that ends in an odd number if the first digit cannot be 1 or 0 is 2/5.

It can be calculated by multiplying the probabilities of each digit.

First, let's find the probability of the first digit. Since it cannot be 1 or 0, there are 8 possible choices for the first digit (2, 3, 4, 5, 6, 7, 8, 9). Therefore, the probability of the first digit is 8/10 or 4/5.

Next, let's find the probability of the second digit. Since there are no restrictions on the second digit, there are 10 possible choices (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Therefore, the probability of the second digit is 10/10 or 1.

Finally, let's find the probability of the third digit. Since it must be an odd number, there are 5 possible choices (1, 3, 5, 7, 9). Therefore, the probability of the third digit is 5/10 or 1/2.

Now, we can multiply the probabilities of each digit to find the overall probability of selecting an area code at random that ends in an odd number if the first digit cannot be 1 or 0:

Probability = (4/5) * (1) * (1/2) = 4/10 or 2/5

Therefore, the probability of selecting an area code at random that ends in an odd number if the first digit cannot be 1 or 0 is 2/5.

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The 95% confidence interval of 6.5 to 7.5 indicates that there is a 95% probability that the true mean pain rating in the population lies within this range.

The 95% confidence interval of 6.5 to 7.5 indicates that there is a 95% probability that the true mean pain rating in the population lies within this range. This means that if the same sample of participants were randomly selected and tested multiple times, 95% of the time the mean pain rating would fall between 6.5 and 7.5. It does not necessarily mean that the true mean pain rating in the population is definitely between 6.5 and 7.5 or that the mean pain rating would be exactly .5 points away from the true mean pain rating in the population. The confidence interval is an estimate of the true mean pain rating in the population, but it is not an exact value. This means that there is an inherent level of uncertainty associated with the confidence interval and that it can not be used to make definitive statements about the true mean pain rating in the population.

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Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

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When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

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The graph that could represent the polynomial function f(x) with a degree of 3 and roots at -2, 0, and 3 is a graph with the following characteristics: it intersects the x-axis at -2, 0, and 3, and it exhibits a change in concavity at least once.

Considering these characteristics, the f(x) graph would start below the x-axis between -2 and 0, intersect the x-axis at 0, rise above the x-axis and reach a maximum or minimum point, then descend back to the x-axis and intersect it at 3. This shape indicates a change in concavity.

The specific shape of the graph could be a "U" shape if the coefficient of the leading term is positive, meaning the polynomial has a minimum at the turning point. Alternatively, it could be an inverted "U" shape if the leading coefficient is negative, indicating a maximum at the turning point.

In summary, the graph that represents f(x) would show three x-intercepts at -2, 0, and 3, and exhibit a change in concavity. The specific shape would depend on the leading coefficient of the polynomial.

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Nevertheless, it appears that the question is not fully formed, the appropriate one should be:

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

16

Step-by-step explanation:

you would get c alone so you subtract 5 to the other side

Answer:

-6

Step-by-step explanation:

5+-11= -6

5--6= -11

Calculator

The simplified answer to 30/4 is 7.5.

To provide more detail, you can think of it as dividing 30 by 4, which gives you 7 with a remainder of 2. However, we are simplifying the fraction, so we need to express the answer as a decimal or mixed number.

To do this, we can convert the remainder into a fraction by dividing it by the denominator (4), which gives us 2/4 or 1/2. Adding this fraction to the whole number (7) gives us 7 1/2 or 7.5.

The simplified answer to 30/4 is 7.5.

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Answer:

1/4

Step-by-step explanation:

0 - 2 = -2

-16 - -8 = -8

-2/-8 = 1/4

Answer: 50!!!

Step-by-step explanation:

The vertex-form definition of the quadratic function is given as follows:

f(x) = −(x + 1)² + 25.

The roots of the quadratic function are defined as follows:

-6 and 4.

Hence the definition of the function is given as follows:

f(x) = a(x + 6)(x - 4)

f(x) = a(x² + 2x - 24).

When x = 1, y = 21, hence the leading coefficient a is obtained as follows:

21 = a(1 + 2 - 24)

-21a = 21

a = -1.

Thus the standard definition of the function is of:

y = -x² - 2x + 24.

The coefficients of the function are of:

a = -1, b = -2, c = 24.

Then the x-coordinate of the vertex is of:

x = -b/2a = 2/-2 = -1.

The y-coordinate of the vertex is of:

y = -(b² - 4ac)/4a = -((-2)² - 4(-1)(24))/-4 = 25.

Meaning that the vertex-form definition of the quadratic function is of:

f(x) = −(x + 1)² + 25

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Answer: B is the answer i got it right on the test

Step-by-step explanation:

Answer:

\(450000 \leqslant 15000 + 4t\)

The inductive hypothesis of the inductive step of an inductive proof for k≥4, if 2k≥3k, then 2^k+1≥3(k+1) is used in Step 4 of the proof.

The following is the solution to the problem.2^k+1≥2⋅2^k (Step 1)≥2⋅3k (Step 2)≥3k+3k (Step 3)≥3k+3 (Step 4)≥3(k+1) (Step 5)Therefore, the inductive hypothesis is used in step 4 of the proof. Step 4 demonstrates that the statement is correct for k+1.

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\(\\ \sf\longmapsto \dfrac{(0.0225)^{\frac{-3}{2}}\times (0.0001)^{\frac{3}{4}}}{(0.0125)^{\frac{1}{3}}}\)

\(\\ \sf\longmapsto \dfrac{((0.15)^2)^{\frac{-3}{2}}\times ((0.1)^4)^{\frac{3}{4}}}{(0.5)^3)^{\frac{1}{3}}}\)

\(\\ \sf\longmapsto \dfrac{(0.15)^{2\times \dfrac{-3}{2}}\times (0.1)^{4\times \dfrac{3}{4}}}{(0.5)^{3\times \dfrac{1}{3}}}\)

\(\\ \sf\longmapsto \dfrac{(0.15)^{-3}(0.1)^3}{(0.5)^1}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{1}{(0.15)^3}\times 0.001}{0.5}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{1}{0.003375}(0.001)}{0.5}\)

\(\\ \sf\longmapsto\dfrac{ \dfrac{1000000}{3375}\times \dfrac{1}{1000}}{0.5}\)

\(\\ \sf\longmapsto \dfrac{\dfrac{1000}{3375}}{0.5}\)

\(\\ \sf\longmapsto \dfrac{1000}{3375}\times \dfrac{10}{5}\)

\(\\ \sf\longmapsto \dfrac{2000}{3375}\)

\(\\ \sf\longmapsto 0.592\)

The solution to evaluation of the given fraction expression is;

0.592

We want to simplify the expression;

\(\frac{0.0225^{-3/2} * 0.0001^{3/4}}{0.0125^{1/3}}\)

Now, we can express each value as;

\(0.0225^{-3/2} = (0.15^{2})^{-3/2} \\\\0.0001^{3/4}} = (0.1^{4})^{3/4}\\\\{0.0125^{1/3}} = (0.5^{3})^{1/3}\\\)

Thus, when we simplify each again, we will get;

\((0.15^{2})^{-3/2} = (0.15^{-3}) = \frac{1}{0.15^{3}} = \frac{1}{0.003375} \\\\(0.1^{4})^{3/4} = (0.1^{3}) = 0.001\\\\(0.5^{3})^{1/3} = 0.5\\\)

This can be further simplified as;

\(\frac{1}{0.003375} = \frac{1000000}{3375} \\\\0.001 = \frac{1}{1000} \\\\0.5 = \frac{5}{10}\\\)

Plugging these into the main equation form gives;

\(\frac{\frac{1000000}{3375} * \frac{1}{1000}}{\frac{5}{10}}\)

This will reduce to;

(1000/3375) × (10/5)

⇒ 0.592

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Answer:

B. -5

Step-by-step explanation:

multiply the opposite number than the denominator

hope this helps :3

pls mark brainliest

Answer:

The answer is B. -5.

Step-by-step explanation:

i did it on edge

Answer: Yes. There's a proportional relationship

Step-by-step explanation:

We are told that Anthony and Miguel go to the store to purchase some new DVDs and that an advertisement in the window catches their attention as they saw that:

3 DVDs cost $22,50. This means the price of one will be:

= $22.50 / 3

= $7.50

5 DVDs cost $37.50. This means that the price for one will be:

= $37.50 / 5

= $7.50

Since the price of a DVD both cost $7.50, it means that the information on the sign represent a proportional relationship.

Answer - 4/45

They say no replacement so it would be

2/10 * 4/9 = 4/45