Factor each polynomial

Answer:

37 is LeBron 41 years old is kobe

The value of the growth factor of the function is found as 15.

A exponential function is one where the exponent contains the input, x.

Typically, an exponential function's equation looks like this:

y = abˣ

where,

In this issue

There are;

f(x) = 1/5.(15ˣ)

where,

1/5  -------> is the starting point.

15 --------> the growth factor.

Thus, the value of the growth factor of the function is found as 15.

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Answer:

D) 15 is the answer

Step-by-step explanation:

The score that Alaina will have to get to tie the Winning teams score is 4.4.

Given that the long jump teamates add up their scores to determine the best team. The current winning team has a combined score of 25.6 m.

Also, Alaina's teamates jumped the following jumps: 5.46m,4.84, 4.92 and 5.98m.

Therefore, Alaina's score to beat the other team will be:

= 25.6 - (5.46m + 4.84 + 4.92 + 5.98m)

= 25.6 - 21.2

= 4.4

Therefore, she must get 4.4 to tie.

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Answer:

A)  r - 10

B)  p(r) = 1.05(r - 10)

C)   $20.48 (nearest cent)

Step-by-step explanation:

If r is the regular price of a CD player, then an expression for the regular price minus the $10 discount is:

If a state tax of 5% is applied to a sale, then the cost of the item will be 105% of its regular price.  105% expressed as a decimal is 1.05.  

Therefore, we need to multiply the expression from part A by 1.05 to find the final price of the CD player:

To calculate how much would you pay during Sale Days for a CD Player regularly priced at $29.50, substitute r = 29.5 into the function from part B:

⇒ p(r) = 1.05(29.50 - 10)

⇒ p(r) = 1.05(19.50)

⇒ p(r) = 20.475

Therefore, you would pay $20.48 (rounded to the nearest cent) for a CD Player during Sale Days.

A total of 4970 four-digit numbers that are greater than 2999 can be created so that the middle two digits' product is greater than 5.

Combinations are mathematical operations that count the number of possible combinations for a set of elements when the order of the selection is irrelevant. One can choose the components of combinations in any order. Here, we have to find four-digit number combinations.

The digit in the thousands place should be greater than 2 so that the four-digit number be will greater than 2999. So the possible numbers are 3, 4, 5, 6, 7, 8, and 9.  Therefore, this occurs in 7 ways.

The digit in the one's place can be any number from 0 to 9. Therefore, this occurs in 10 ways.  

For the middle two digits, the combinations are given by,

If the hundreds digit is 1 then, the tens digit can be 6, 7, 8, and 9. This occurs in 4 ways.

If the hundreds digit is 2 and the tens digit can be from 3 to 9. This occurs in 7 ways.

If the hundreds digit is 3 and the tens digit can be from 2 to 9. This occurs in 8 ways.

If the hundreds digit is 4 and the tens digit can be from 2 to 9. This occurs in 8 ways.

If the hundreds digit is 5 and the tens digit can be from 2 to 9. This occurs in 8 ways.

If the hundreds digit is 6 and the tens digit can be from 1 to 9. This occurs in 9 ways.

If the hundreds digit is 7 and the tens digit can be from 1 to 9. This occurs in 9 ways.

If the hundreds digit is 8 and the tens digit can be from 1 to 9. This occurs in 9 ways.

If the hundreds digit is 9 and the tens digit can be from 1 to 9. This occurs in 9 ways.

The total ways for the middle two digits are 4+7+8+8+8+9+9+9+9=71 ways.

Therefore, the total number of four-digit numbers greater than 2999 is  7×10×71=4970.

The answer is 4970.

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There is percent decrease is 12%.

The difference between starting and ending values is the percentage decrease. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decrease.

Given:

original quantity is 100

new quantity is 88​

So, change in quantity = 100-88= 12

and, percent decrease = 12 / 100 x 100 = 12%

Hence, there is percent decrease is 12%.

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The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.

A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.

When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.

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Using the inversely proportional method, we know that w=350.

If two quantities are inversely related, one will increase while the other will decrease.

Building a wall would be an example of an inverse proportion in action.

The time it takes to construct a wall decreases as more people work on it.

So, the following is an expression for the joint variation of W with x, y, and z:

W = kxy / z²

Where k is the variational constant.

When the variables are given the initial set of values:

280 = k(30)(12) / 3²

K in the equation has a value of 7.

By adding the values of the subsequent:

w = (7)(20)(10) / 2² = 350

Therefore, using the inversely proportional method, we know that w=350.

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Answer:

350

Step-by-step explanation:

odyssey

Jody will be forced to repay a total of $2,377.69 when the loan matures.

Ordinary interest, commonly referred to as simple interest, is computed by dividing the annual marginal rate by the 365 days that make up a year. It does not take compounding into account.

The number of days can be calculated as follows:

19(Sep), 31(Oct), 30(Nov), and 31(Dec) add up to 111 days in year 1.

Second-year days: 26 (Jan)

137 days in total

Rate = 0.09 Principal = $2,300

time = 137 ÷ 365

Interest = 2300 × 0.09 × (137 ÷ 365) = $77.69

Amount due at maturity is $2,300 plus $77.69, for a total of $2,377.69.

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Answer:

30

Step-by-step explanation:

For this problem she goes to the park every 5 days so, 5,10,15,20,25,30 and so on and she goes to the library every 6 days so, 6,12,18,24,30,36 and so on. 30 is the GCF of both so that is the answer

Answer:

Step-by-step explanation

How many feet in a centimeter. One centimeter is equal to 0.0328084 feet: 1cm = 1cm / 30.48cm/ft = 0.0328084ft.

How many centimeters in a foot. One foot is equal to 30.48 centimeters: 1ft = 30.48×1ft = 30.48cm.

How to convert 10cm to feet. Divide 10 centimeters by 30.48 to get feet:

Answer: 4 feet

Step-by-step explanation: 12 inches = 1 foot

48in/12 = 4

Phil's final debt after 20 years will be around $320,679.

To purchase a home, Phil borrowed $150,000 from a bank at a 3.5% annual interest rate.

The annual compounding of interest causes the amount of interest for each year to rise in proportion to the debt. Phil will be required to pay the initial sum plus interest after the first year, which comes to

$150,000 + 3.5% of $150,000 = $155,250.

Since interest is charged on the new amount owed for the second year, Phil will owe

$155,250 + 3.5% of $155,250, which

= $160,551.75.

For the next 20 years, this procedure is repeated, with the amount owed rising yearly by the sum of the year before plus interest. Phil's debt after 20 years will be around $320,679.

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The value of the line segment jl is found as the 27 units.

For the given question.

jk = 8x + 11

kl = 14x - 1

K is the mid point of the line segment JL.

Thus,

jk = kl

Put the values-

8x + 11  = 14x - 1

14x - 8x = 11 + 1

6x = 12

x = 2

Thus, jl = 8x + 11

jl = 8(2) + 11

jl = 27

Thus, the value of the line segment jl is found as the 27 units.

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If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

Simple interest is a quick and straightforward technique to compute interest on money. In the simple interest method, interest always applies to the initial principle amount, with the same rate of interest for each time cycle. When we put our money in a bank, we receive x percent simple annual interest on it. Banks charge many kinds of interest, one of which is simple interest. Now, before delving further into the idea of simple interest, let's first define what a loan is.

A loan is an amount borrowed by a person from a bank or other financial institution to meet their requirements. Home loans, auto loans, student loans, and consumer lending were just few examples of loans.

How to solve?

F = P(1+rt), where Future value is F, Present value is P, Rate is R, Time is t

F = 10,000(1+xn)

F = 10,000(xn)

F = 10,000(n * x/100)

F = 10,000n(x/100)

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Answer:

A. y=6x

Step-by-step explanation:

A. y=6x that's all I know

Answer: A. y=6x

Step-by-step explanation:

The Resulting values are

1. By adding

3 1/2 + 4 2/5= 79/10

2. Subtraction

3 1/2 - 4 2/5 =  -9/10

3. By Multiplying

3 1/2 x 4 2/5 = 154/ 10

4. By Dividing

3 1/2 ÷ 4 2/5 = 35/44

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

3 1/2 4. 2/5

So, by adding

= 3 1/2 + 4 2/5

= 7/2 + 22/5

= 79/10

So, by Subtraction

= 3 1/2 - 4 2/5

= 7/2 - 22/5

= -9/10

So, by Multiplying

= 3 1/2 x 4 2/5

= 7/2 x 22/5

= 154/ 10

So, by Dividing

= 3 1/2 ÷ 4 2/5

= 7/2 ÷ 22/5

= 7/2 x 5/22

= 35/44

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The answer is (3a + 20) and also here variable ' a ' appears only once.

A linear expression is an algebraic expression in which each term is a constant or a variable raised to the first power. To put it another way, none of the exponents can be greater than 1.

[tex]x^2[/tex] is a variable raised to the second power, whereas x is a variable raised to the first power.

A linear expression is 2x - y + 3.

A constant is represented by the number,  example 5.

Given,

expression (a - 4) and (4a + 16)

subtracting (a - 4) from (4a + 16), results in

= (4a + 16) - (a - 4)

= 4a + 16 - a + 4

=3a+20

Thus, the answer is (3a + 20), and variable 'a' appears only once.

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Answer:

in five hours you will travel 153.75 miles

Hello!

What does this problem want:

==> how far will the car have traveled in 5 hours

What we must find ==> how many miles does the car travel in an hour

  [tex]\text{Rate}=\frac{61.5 \text{ miles}}{2 \text{ hours}} =30.75\text{ miles per hour}[/tex]

Therefore: the car will travel in 5 hours

   5 * 30.75 = 153.75 miles

Hope that helps!

Answer:

9x + 16

Step-by-step explanation:

When you are finding the perimeter of each shape, you are essentially combining all of the shape's side measurements together.

In this case, you are given a triangle, which has 3 sides. Add the 3 side's measurements together to obtain the perimeter of the given triangle.

P (Perimeter of triangle) = (3x + 10) + (3x) + (3x + 6)

Combine like terms. Like terms are terms that have the same variables:

P = (3x + 3x + 3x) + (10 + 6)

P = (9x) + (16)

P = 9x + 16

9x + 16 is your answer.

~

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The first four terms of the given sequence A(n)=4n^3+2 is 6, 34, 110, 258.

In the given question, the nth term of a sequence is given.

We have to write the first four terms of the sequence and we also have to express the terms in simplified form when applicable.

The given sequence is:

A(n)=4n^3+2

We find the four terms of the given sequence by putting n=1,2,3,4 in the given sequence.

Now putting n=1 in the given sequence

A(1)=4(1)^3+2

A(1)=4*1+2

A(1)=4+2

A(1)=6

Now putting n=2 in the given sequence

A(2)=4(2)^3+2

A(2)=4*8+2

A(2)=32+2

A(2)=34

Now putting n=1 in the given sequence

A(3)=4(3)^3+2

A(3)=4*27+2

A(3)=108+2

A(3)=110

Now putting n=1 in the given sequence

A(4)=4(4)^3+2

A(4)=4*64+2

A(4)=256+2

A(4)=258

Now the first four terms of the given sequence is 6, 34, 110, 258.

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The right question is:

The nth term of a sequence is given. Write the first four terms of the sequence. Express the terms in simplified form when applicable.

A(n)=4n^3+2

The probability of bike can travel more than 50 miles without refueling is 0.1151, according to the question.

What do you mean by probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

According to data in the given question,

We have the given information:

Mean = 44

deviation = 5

Let X be the random variable that represents the population's average number of motorcycle kilometers; in this instance, we know the distribution for X is provided by:

X ~ N(44.5)

Where μ=44 and σ=5,

We are interested on this probability,

P(X>50)

We can also apply the z score formula from:

z=x-μ/σ

Using this formula, we obtained:

P(X>50) = P(X-μ/σ > 50-μ/σ) = P(Z > 50-44/5) = P(z > 1.2)

Using the normal standard distribution and the complement rule, we can determine this probability, giving us:

P (z > 1.2) = 1 - P(z > 1.2) = 1 - 0.8849 = 0.1151

Therefore, the probability is 0.1151.

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The speed of current and average speed of paddling is 3 and 7 respectively.

Let p represents paddling speed of kayack guide  and c represents speed of current.

If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.

Since paddling downstream took  2 hours so distance covered 2*(p + c)

which is equal to 20 miles.

2*(p + c) =20.

p + c = 10. -----i

Paddling upstream took 4 hours so distance covered 4*(p-c).

which is equal to 16 miles.

4*(p-c) = 16.

p - c = 4.  -------ii

adding both equation c will be cancelled. 2*p=14 p =7.

put value of p in equation i.

7 + c = 10  ,c = 3.

So the speed of current and average speed of paddling is 3 and 7 respectively.

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For the given statement , correct answer is option e: there is either no association or a negative association between the factor and the disease.

Reason with explanation:

The complete question is:

In a study of a disease in which all cases that developed were ascertained, if the relative risk for the association between a factor and the disease is equal to or less than 1.0, then:

a. There is no association between the factor and the disease

b. The factor protects against development of the disease

c. Either matching or randomization has been unsuccessful

d. The comparison group used was unsuitable, and a valid comparison is not possible

e. There is either no association or a negative association between the factor and the disease

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A parametric test would be more suitable because it provides a more appropriate answer.

If the model's p-value is less than 0.05, we rule out the null hypothesis and declare it to be significant.

Using the R software.

R codes : d=read.table('data.csv',header=T,sep=',')

head(d)

attach(d)

fit=lm(Heart.Rate~Age+Weight+Height)

summary(fit)

fit2=lm(Heart.Rate~Age+Weight)

summary(fit2)

R outputs:

> d=read.table('data.csv',header=T,sep=',')

> head(d)

Heart Rate Age Weight Height

1         85  60    201     67

2        102  48    263     59

3         67  58    167     69

4         58  58    109     60

5         75  40    135     62

6         70  27    144     64

> attach(d)

> fit= lm(Heart.Rate~Age+Weight+Height)

> summary(fit)

Call:

lm(formula = Heart.Rate ~ Age + Weight + Height)

Residuals:

   Min       1Q   Median       3Q      Max

-21.1662  -7.9919   0.3377  10.3521  25.4165

Coefficients:

          Estimate Std. Error t value Pr(>|t|)

(Intercept) -2.86211   36.23799  -0.079   0.9377

Age          0.45993    0.21595   2.130   0.0428 *

Weight       0.12192    0.04841   2.519   0.0183 *

Height       0.59428    0.50119   1.186   0.2464

Significant codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 13.15 on 26 degrees of freedom

Multiple R-squared:  0.2841, Adjusted R-squared:  0.2015

F-statistic: 3.439 on 3 and 26 DF,  p-value: 0.03137

> fit2=lm(Heart.Rate~Age+Weight)

> summary(fit2)

Call:

lm(formula = Heart.Rate ~ Age + Weight)

Residuals:

  Min      1Q  Median      3Q     Max

-26.126  -9.851   1.049  10.328  22.284

Coefficients:

          Estimate Std. Error t value Pr(>|t|)

(Intercept) 36.63974   14.36802   2.550   0.0168 *

Age          0.45122    0.21744   2.075   0.0476 *

Weight       0.12065    0.04876   2.474   0.0199 *

Significant codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 13.25 on 27 degrees of freedom

Multiple R-squared:  0.2454, Adjusted R-squared:  0.1895

F-statistic:  4.39 on 2 and 27 DF,  p-value: 0.02235

a) Multiple linear regression equation :

y hat =  -2.862    +   0.460 X1  +    0.122 x2    +   0.594 x3

b) F =   3.439 on 3 and 26 DF,

p-value: 0.03137

We reject the null hypothesis and determine that the model is significant because the p-value is less than 0.05.

c) Heart rate is highly linked with the variable whose p-value is less than that variable. Heart rate and fluctuating weight are strongly connected in this instance.

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Jeffrey ate x ounces of M&M's. Priya ate 1/3 less than that. Which diagram matches that situation?

Option C

Answer: I did my best

Step-by-step explanation:

8(−2)3+5x41

Simplifies to:

5x4−64

=5x4−64

As per the linear regression analysis, the predicated depression score if the MHPG level was 1100 is 20.41

Linear regression analysis:

In math , linear regression analysis means a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line.

Given,

linear regression analysis calculated a slope of -0.017 and a y intercept of 39.11.

Here we need to predict the depression score if the mhpg level was 1100.

We know the that standard form of the line of equation for straight line is written as,

y = mx + c

where m refers the slope and c refer the y intercept.

Then the line of the equation of this linear regression analysis is written as,

=> y = -0.017x + 39.11

In this equation x refers the MHPG level.

So, the value of x is 1100, then the predicated depression score is calculated as,

=>  y = -0.017(1100) + 39.11

=> y = -18.7 + 39.11

=> y = 20.41

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Answer: Negative 4 over 7 is located to the right of -2

In the number line, the numbers are written in ascending order or from left to right in increasing order,

That is if a < b, where a and b are any real number

⇒ b is located on the right side of an in the number line,

Here, given expression,

negative 4 over 7 > −2

That is,

⇒ Negative 4 over 7 is located to the right of -2

Step-by-step explanation:

Wind Energy is the kind of energy will Cassie uses to power the boat  cassie jumped in.

What is wind energy?

The method of producing electricity using air or wind currents that naturally occur in the earth's atmosphere is known as wind energy (or wind power). Electricity is produced by modern wind turbines that harness the kinetic energy of the wind. Wind passing across the turbine's blades is the initial step.

What is the major problem with wind energy?

Wind energy has the potential to have negative environmental effects, including the possibility of reducing, fragmenting, or deteriorating habitat for wildlife, fish, and plants, as with all energy supply choices. Furthermore, flying animals like birds and bats may be harmed by turbine blades in operation.

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