Solve for x
14x = 5(2x – 4) – 12

Answer:  BD = 5

Step-by-step explanation:

\(a^{2} +12^{2} =13^{2}\)

\(a^{2} =13^{2}-12^{2}\)

\(a = \sqrt{25}\)

\(a = 5\)

Therefore BD = 5

The complete value for the function is as follows:

a = 4

b = 4

c = 8

d = 16

e = 12

f = 36

g = 64

Function relates input to output. Function establish relationship between variables. Therefore,

The input are as follows:

Let's find the missing outputs as follows.

y₁ = 4x

y₂ = 4x²

y₃ = 4ˣ

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Answer:

Complete the table for each function.  Then answer the questions that follow.

a= 4

b = 4

c =8

d = 16

e = 12

f = 36

g = 64

Step-by-step explanation:

Edge Jan 2022

NEXT QUESTION:

 According to the table, which function grows the fastest?

The exponential function

NEXT ONE AFTER THAT:

By what factor does the y-value change for y = 4x?  

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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Answer:

Nope

Step-by-step explanation:

Hope never ever.....

Answer:

105.37

Step-by-step explanation:

Answer:

→ please refer to the above attachment ←

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

the first 6 terms of the sequence defined by an = (−1)n 13nn2 4n 5 are: a1 = -1/2, a2 = 21, a3 = -50/3, a4 = 285, a5 = -335/3, and a6 = 433.

Given a sequence defined by the formula, an = (−1)n 13nn2 4n 5

To find the first 6 terms of the sequence, we need to substitute n=1, 2, 3, 4, 5, and 6 in the above formula and evaluate the expression.

When we substitute n=1, we get:a1 = (−1)1 (13)1(12) 4(1) 5= -1(13)(12) + 4 + 5= -1/2

When we substitute n=2, we get:a2 = (−1)2 (13)2(22) 4(2) 5= 1(13)(4) + 8 + 5= 21

When we substitute n=3, we get:a3 = (−1)3 (13)3(32) 4(3) 5= -1(13)(9) + 12 + 5= -50/3

When we substitute n=4, we get:a4 = (−1)4 (13)4(42) 4(4) 5= 1(13)(16) + 16 + 5= 285

When we substitute n=5, we get:a5 = (−1)5 (13)5(52) 4(5) 5= -1(13)(25) + 20 + 5= -335/3

When we substitute n=6, we get:a6 = (−1)6 (13)6(62) 4(6) 5= 1(13)(36) + 24 + 5= 433

Thus, the first 6 terms of the sequence defined by an = (−1)n 13nn2 4n 5 are: a1 = -1/2, a2 = 21, a3 = -50/3, a4 = 285, a5 = -335/3, and a6 = 433.

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Given a sequence, `a\(n = (-1)^(n-1) * 13n^2 / (4n + 5)`.To find the first 6 terms of the sequence, we can substitute n=1,2,3,4,5, and 6 in the above equation.\)

\(Using the formula,`an = (-1)^(n-1) * 13n^2 / (4n + 5)`.

Put `n = 1`.Then, `a1 = (-1)^(1-1) * 13(1)^2 / (4(1) + 5)=13/9`.Put `n = 2`.

Then, `a2 = (-1)^(2-1) * 13(2)^2 / (4(2) + 5)=-52/18=-26/9`.Put `n = 3`.Then, `a3 = (-1)^(3-1) * 13(3)^2 / (4(3) + 5)=39/14`.

Put `n = 4`.Then, `a4 = (-1)^(4-1) * 13(4)^2 / (4(4) + 5)=-52/21`.Put `n = 5`.

Then, `a5 = (-1)^(5-1) * 13(5)^2 / (4(5) + 5)=65/18`.Put `n = 6`.Then, `a6 = (-1)^(6-1) * 13(6)^2 / (4(6) + 5)=-78/25`.\)

Therefore, the first 6 terms of the sequence are \(`{13/9, -26/9, 39/14, -52/21, 65/18, -78/25}\)`.

Hence, the required terms of the given sequence are given as follows\(;a1 = 13/9a2 = -26/9a3 = 39/14a4 = -52/21a5 = 65/18a6 = -78/25\)

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Answer:

12. 3:12

Step-by-step explanation:

that is 12

Answer:

The expression for the area is;

Explanation:

Given that the length of the rectangle is 3 and the width is (7-4x);

Recall that the area of rectangle can be calculated by multiplying its length by the width.

So, the expression for the area of the given rectangle is;

Therefore, the expression for the area is;

The p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

When running a t-test with the assumption of equal variances in Excel, the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution is the p-value.

In Excel, the p-value is calculated using the T.TEST function, which returns the probability associated with a Student's t-test. The function requires the input of two sets of data for the two samples being compared. By comparing the calculated t-value to the t-distribution, the function determines the probability (p-value) of observing such extreme differences between the means of the two samples under the null hypothesis.

The p-value represents the probability of obtaining a t-value as extreme as the one observed, assuming the null hypothesis is true (i.e., there is no significant difference between the means of the two samples). If the p-value is smaller than a chosen significance level (e.g., 0.05), it indicates that the observed difference is statistically significant, and we reject the null hypothesis in favor of an alternative hypothesis.

In summary, the p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

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The amount of sugar in final recipe will be 5/8

Fractions are used to represent smaller pieces (or parts) of a whole.

Given that, You decide to subtract ⅛ of a cup of sugar from the original amount of ¾ of a cup.

3/4-1/8 = 5/8

Hence, The amount of sugar in final recipe will be 5/8

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Answer:

h^7

Step-by-step explanation:

Its just adding another power.

Answer: h^7

Step-by-step explanation: I'm pretty sure! if not thats my bad

Answer:

Step-by-step explanation:

First solve for the common ratio:

\(\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}\)

Use the geometric summation equation to solve for sum:

\(a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216\)

The sum of the first 6 terms of the following series is 540.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

\(\rm S_n=\dfrac{a(1-r^n)}{1-r}\)

The common ratio of the sequence is;

\(\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\\)

The sum of the first 6 terms of the following series is;

\(\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\\)

Hence, the sum of the first 6 terms of the following series is 540.

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The probability is a + b + c = -382

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Every cube's side is \(\sqrt[3]{1000}\) = 10

Since there are 512 unpainted cubes within, the likelihood is 1⁵¹² = 1

There are 8 corners, and each one has a chance of 3 / 6 = 1 / 2 = 2⁻¹ so the probability is 1⁸ / 2 = 1 / 2⁸

There are 8 * 12 = 96 edge pieces (12 edges total, with 8 on each edge; each cube has a probability of 4 / 6 = 2 / 3, so the probability is 2⁹⁶ / 3 = 2⁹⁶ / 3⁹⁶

There are 8 * 8 * 6 = 384 center cubes, each having a chance of 5 / 6, so the probability is 5³⁸⁴ / 6 = 5³⁸⁴ / 6³⁸⁴ = 5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)

So, the probability is:

(1 / 2⁸) * (2⁹⁶ / 3⁹⁶) * [5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)]

= (5³⁸⁴ * 2⁹⁶) / (2³⁹² * 3⁴⁷⁰)

= 5³⁹⁴ * 2⁹⁶ * 2⁻³⁹² * 3⁻⁴⁷⁰

= 5³⁸⁴ * 2⁻²⁹⁶ * 3⁻⁴⁷⁰

Thus, a + b + c = -382

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The correct option (b) Negative skewness. it refers to longer or fatter tail on left side of the distribution.

Negative skewness is a type of distribution in which there are more values ​​to the left of the mean than to the right. it refers that mean > median and the tail of the distribution is on the left. This type of distribution is also referred to as left lean.

Negative skewness is caused by the presence of extreme values ​​or outliers on the left side of the distribution. All these extreme values ​​can cause the data to deviate from the mean that results in negative deviation. The presence of outliers can affect the variance of the data too. In the situations with high outliers, as  the outliers form the mean of most of the data therefore, the variance of data is higher than the normal.

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The probability of drawing a specific color ball (red, blue, yellow, or orange) from the Greek urn and replacing it for four consecutive draws is 1/4.

Since the ball is replaced after each draw, the probability of drawing a specific color ball remains the same for each draw. The urn contains a total of four balls, so the probability of drawing any specific color ball is 1/4.

The probability of drawing a specific color ball (red, blue, yellow, or orange) from the Greek urn and replacing it for four consecutive draws is 1/4.

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To increase the number 8 by 50%, we first calculate 50% of 8:

50% of 8 = 0.5 × 8 = 4

Then, we add this result to 8:

8 + 4 = 12

Therefore, the result when the number 8 is increased by 50% is 12.

Answer:

12

Step-by-step explanation:

50% of 8 is 4.

8 increased by 4 is 12.

Answer:

$5.91 for the t-shirt. $8.24 for the skirt

Step-by-step explanation:

It's correct don't worry. The problem is I cant explain but it's correct, also if you can please give brainliest

Answer:

p-$125= reduced price

Step-by-step explanation:

reduced implies that the $125 was SUBTRACTED from the original price.

The steady-state response to the given input function is zero.

To find the steady-state response Yss to the given input function f(t), we need to apply the input to the transfer function and take the Laplace transform of both sides of the resulting equation. Then, we can find the value of Yss using the final value theorem.

In this case, the transfer function is T(s) = 3/(s+3) and the input function is f(t) = 9sin(2t+8.1).

Taking the Laplace transform of both sides, we get:

Y(s)/F(s) = T(s) = 3/(s+3)

Multiplying both sides by F(s), we get:

Y(s) = (3F(s))/(s+3)

Using the inverse Laplace transform, we get:

y(t) = 3e^(-3t)u(t) * f(t)

where u(t) is the unit step function.

To find the steady-state response Yss, we apply the final value theorem, which states that:

Yss = lim(t->∞) y(t)

Since the exponential term decays to zero as t goes to infinity, we can ignore it when taking the limit. Therefore:

Yss = lim(t->∞) 3u(t) * f(t)

Since the input function is periodic with period pi, the limit exists and is equal to the average value of the function over one period:

Yss = (1/pi) ∫(0 to pi) 3sin(2t+8.1) dt

Using trigonometric identities, we can simplify this to:

Yss = (3/pi) ∫(0 to pi) sin(2t)cos(8.1) + cos(2t)sin(8.1) dt

The integral of sin(2t)cos(8.1) over one period is zero, since the sine function is odd and the cosine function is even. Therefore:

Yss = (3/pi) ∫(0 to pi) cos(2t)sin(8.1) dt

Using the substitution u = 2t, du = 2 dt, we can rewrite this integral as:

Yss = (3/2pi) ∫(0 to 2pi) cos(u)sin(8.1) du

Using the identity sin(a+b) = sin(a)cos(b) + cos(a)sin(b), we can rewrite this as:

Yss = (3/2pi) sin(8.1) ∫(0 to 2pi) cos(u) du

The integral of cos(u) over one period is zero, since the cosine function is even. Therefore:

Yss = 0

Thus, the steady-state response to the given input function is zero.

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To create a personal commercial.

Step one:  Establish exactly what you are seeking and your targeted audience.

Sep two: Create your introduction, adding your motivations for your career direction.

Step two: Summarize your education, soft skills, hard skills, and experience.

Step four: Write your elevator speech.

Step five: Review and practice your speech.

A personal commercial or an elevator speech is a brief introduction of usually less than 60 seconds to a potential employer, or important professional contact.

It is used to introduce oneself to a potential employer at a job fair, an interview, or when you are asked to talk about yourself professionally.

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Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

False. A correlation of 0.05 does not indicate a strong positive association.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, where -1 represents a perfect negative correlation, 1 represents a perfect positive correlation, and 0 represents no linear correlation.

A correlation coefficient of 0.05 indicates a very weak positive association, but it is not considered strong. In fact, a correlation coefficient of 0.05 suggests a very weak linear relationship, meaning that the variables have a very low degree of linear dependence on each other.

Therefore, the statement that a correlation of 0.05 indicates a strong positive association is false.

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