Evaluate the function when x=-3,0, and 1.

g(x)=-4x

Answer:

1. 2

2. 8

3. 1.5

4. 62.83185

5. 18.85

6. 87.96

7. 12.57

8. 1256.64

9. 63.62

10. Half

11. perimeter

12. not sure

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

4x+7(3x-3) = 9-5x (equation)

4x+21x-21 = 9-5x (simplify)

25x-21 = 9-5x (combine like terms)

30x-21 = 9 (add 5x to each side)

30x = 30 (add 21 to each side)

x = 1 (divide each side by 30)

Answer:

161453.307585

Step-by-step explanation:

139,594(1 + 0.021)^7

139,594(1.021)^7

139,594 x 1.1565920282

161453.307585

Answer:

a = \(4\sqrt{3}\)

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and \(x\sqrt{3}\) for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = \(4\sqrt{3}\)

Answer:

4%

Step-by-step explanation:

Volume of sphere

v = (4/3)πr^3

Volume moon/ volume planet

We don't actually need the numeric value of the radius

just the 35% ratio

Radius of moon = .35 radius of planet

Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3

Cancel like terms

Vm / Vp = .35^3

Vm / Vp = 0.042875

Expressed as a percentage

Vm / Vp = 4.2875%

Rounded

Vm / Vp = 4%

The monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58. To compute the monthly payment during the second year of a variable rate mortgage, we need to consider the loan amount, the interest rate, and the loan term.

Loan amount: $325,000

First-year teaser rate: 3.11%

Rate for the second year: 5%

To calculate the monthly payment during the second year, we can use the formula for calculating the fixed monthly payment on a mortgage:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-n))

Where:

Loan amount = $325,000

Monthly interest rate = Annual interest rate / 12

Annual interest rate for the second year = 5%

n = Total number of monthly payments (12 payments in a year)

First, we calculate the monthly interest rate for the second year:

Monthly interest rate = 5% / 12 = 0.4167%

Next, we substitute the values into the formula:

Monthly payment = ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12))

Using a calculator, we can evaluate this expression:

Monthly payment ≈ ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12)) ≈ $1,654.58

Therefore, the monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58.

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Answer:B

Step-by-step explanation:

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer: Our arc length calculator can calculate the length of an arc of a circle

Step-by-step explanation:

Multiply the radius by the central angle to get the arc length.

Answer:    

Step-by-step explanation:

Answer:360/90 = 4

Total area = 4 times that of the sector.

Step-by-step explanation:

A 90 deg sector has 1/4 the area of the circle.

Total circle area = 4*9pi = 36pi

Answer:

The area is A= 3/2π

Step-by-step explanation:

The area of whole circle is:

A

c

=

π

×

r

2

=

9

π

The central angle

60

o

is

1

6

of a full angle, so the area of the sector is:

A

s

=

1

6

A

c

=

1

6

×

9

π

=

9

6

π

=

3

2

π

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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Answer:

Shaunda answered 7 questions incorrect

Step-by-step explanation:

86% can be written as 86/100 or .86

When you multiply .86 or 86/100 by 50, you get 43 questions, which are how many questions she answered correctly.

50-43 = 7, so she answered 7 questions incorrectly.  

Answer:

  a) 81/500

  b) 7/90

  c) 3/11

Step-by-step explanation:

You want to write the fractions that correspond with the decimals ...

  a) 0.162

  b) 0.0777...

  c) 0.272727...

The fraction corresponding to a terminating decimal can be written based on how you pronounce the fraction.

  0.162 = "one hundred sixty-two thousandths" = 162/1000

This can be reduced by removing a common factor of 2.

  = 81/500

The fraction equivalent to a repeating decimal can be found by a multiply and subtract process. In general, this makes the denominator be a number that has as many 9s as the decimal has repeating digits.

This has one repeating digit, 7. This means we want to convert to a fraction by multiplying by 10 to the power of 1:

  x = 0.0777...

  10x = 0.7777...

Now, we can subtract the original number:

  10x -x = 0.7777... -0.0777... = 0.7000...

Notice that the repeating digits cancel. Now we have ...

  9x = 0.7 = 7/10

Dividing by 9 gives ...

  x = 7/90

Using the above method with 10 to the power of 2 (with a 2-digit repeat), we get ...

  100x = 27.272727...

  100x -x = 27.272727... -0.272727... = 27

  99x = 27

  x = 27/99 = 3/11

__

Additional comment

In general, the repeating part of a repeating decimal can be expressed over an equivalent number of 9s. For example, the 6-digit repeat 0.142857142857... is equivalent to 142857/999999. As it happens, this one reduces to 1/7.

If there are intervening digits, as in 0.4333... for example, then they can be treated as a terminating decimal, and the repeating part can be multiplied by an appropriate power of 10 to account for the shift from the decimal point:

  0.4333... = 0.4 + 0.1 × 0.333...

  = 4/10 + 1/10 × 3/9 = 4/10 + 1/30

  = 12/30 +1/30 = 13/30

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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Answer:

2 pens for $0.90 is better

Step-by-step explanation:

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong, since it involves quotient which is not related to given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this Option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

A number increased by 14

Here, "increased by" means addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

The phrases can be represented by the algebraic expression x + 14 are Option 2 (A number plus 14), Option 4 (Fourteen more than a number), and Option 5 (A number increased by 14).

Given that we have to find the phrases represented by an algebraic expression

Given expression is:

x + 14

This expression means that "x" is increased by 14 or 14 is added to x

Let us check the options one by one

Option 1:

The quotient of a number and 14

So this expression is wrong since it involves a quotient which is not related to the given expression

Option 2

A number plus 14

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Option 3

Fourteen less than a number

Writing it mathematically,

number - 14

If the number be "x", then we get x - 14

So this option is wrong

Option 4

Fourteen more than a number

Here, "more than" means addition

Writing it mathematically,

14 + number

If the number be "x", then we get 14 + x which is same as x + 14

So this option is correct

Option 5

The number increased by 14

Here, "increased by" means the addition

Writing it mathematically,

number + 14

If the number be "x", then we get x + 14

So this option is correct

Thus correct options of the algebraic expression x + 14 are option 2, 4, 5.

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Full Question:

Which phrases can be represented by the algebraic expression x + 14? Select three options.

1. the quotient of a number and 14

2. a number plus 14

3. fourteen less than a number

4. fourteen more than a number

5. a number increased by 14

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer: sense happens

Step-by-step explanation:

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 ) Before, so -5 sec

25) after. So,  + 5 sec

26) + 50 c

27) -50 c

28) - 1 min

29)  + $ 50

30)  - $ 5

31)  +5

32) - 5

Answer:

( D )Each sandwich has 2 pounds of ham.

Answer:

1/2 of ham

Step-by-step explanation:

Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

Fisher's Exact Test is used when there are two independent samples of categorical data. This test is specifically designed to determine if there is a significant association between two categorical variables in a 2x2 contingency table.

It is commonly used when the sample size is small, which can cause issues with other statistical tests such as the chi-square test.

The two independent samples refer to two different groups or populations that are being compared. For example, we might be interested in comparing the success rates of a new drug treatment versus a placebo in a clinical trial, where success and failure are the two categories being considered.

Fisher's Exact Test calculates the probability of observing the data given the null hypothesis of no association between the variables. It does this by considering all possible arrangements of the data that have the same marginal totals. If the calculated probability is very small (typically less than 0.05), we reject the null hypothesis and conclude that there is a significant association between the variables.

In summary, Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

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Answer:

a) Beatriz: \(y = 3\cdot x\), Jesús: \(z = 5\cdot x\), b) \(y+z = 32\), c) El símbolo (edad de Rocío) queda representado en el siguiente factor común: \((3+5)\cdot x = 32\), d) Rocío tiene 4 años de edad, Beatriz tiene 12 años de edad y Jesús tiene 20 años de edad.

Step-by-step explanation:

a) Sean \(x\), \(y\), \(z\) las edades de Rocío, Beatriz y Jesús. Después de una lectura cuidadosa al enunciado:

(i) Beatriz tiene el triple de la edad de Rocío.

\(y = 3\cdot x\) (Ec. 1)

(ii) Jesús tiene cinco veces más años que Rocío.

\(z = 5\cdot x\) (Ec. 2)

b) Seguimos la misma estrategia del punto a):

Entre Beatriz y Jesús suman 32 años.

\(y+z = 32\) (Ec. 3)

c) Sustituimos \(y\), \(z\) en (Ec. 3):

\(3\cdot x + 5\cdot x = 32\)

\((3+5)\cdot x = 32\)

\(8\cdot x = 32\)

\(8\cdot x = 8\cdot 4\)

\(x = 4\)

El símbolo (edad de Rocío) queda representado en el siguiente factor común: \((3+5)\cdot x = 32\)

d) Tal como desarrollamos en el punto c), Rocío tiene 4 años de edad.

Las edades de Beatriz y Jesús se obtiene por sustitución directa:

Beatriz

\(y = 3\cdot x\)

\(y = 3\cdot 4\)

\(y = 12\)

Beatriz tiene 12 años de edad.

Jesús

\(z = 5\cdot x\)

\(z = 5\cdot 4\)

\(z = 20\)

Jesús tiene 20 años de edad.

The fund i will split up will be 35000 and 20000.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

You invested a total of $55,000 in 2 funds earning 6.5% and 10% simple interest.

x is the amount invested in the first (the 6.5%) fund

y is the amount invested in the second (10%) fund

x+y = 55000

550*6.5x + 550*10*y = 4275

.065x + 0.1y = 4275

0.65x +1 y = 42750

0.35 x = 55000-42750 =12250

x = 35000

y = 20000

Hence The fund i will split up will be 35000 and 20000.

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To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.

Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.

This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.

By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.

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