Which statement best describes the function below? f(x)=2x^3+2x^3-x​

The inequality that models this situation is:

l + b ≥ 12

Here we know that Sophie has two jobs, and she must work no less than 12 hours a week.

Then the inequality is of the form:

total number of hours ≥ 12 hours.

Now, we can define the variables:

b =  number of hours babysitting.

l = number of hours lifeguarding.

Then the total number of hours that she works is l + b

Then the inequality is:

l + b ≥ 12

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Answer:

if all the pots have an even amount then you should be left with 5 flowers left

Step-by-step explanation:

28+37= 65 there are 6 pots so take 5 away and each pot gets 10

now each pot has an even amount and you are left with 5

Answer:

Without any multiple choice options i would have to guess square feet.

Step-by-step explanation:

Answer: 6

Step-by-step explanation:7 -1=6

Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.

It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.

Answer:

The p-value obtained is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours

Step-by-step explanation:

Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the mean life of the fluorescent lights is 700 hours.

The alternative hypothesis will now be that the mean life of the fluorescent lights is significantly different from 700 hours.

Mathematically,

The null hypothesis is represented as

H₀: μ = 700

The alternative hypothesis is represented as

Hₐ: μ ≠ 700

To do this test, we will use the z-distribution because no information on the population standard deviation is known

So, we compute the z-test statistic

z = (x - μ₀)/σₓ

x = sample mean = 688 hours

μ₀ = 700 hours

σₓ = standard error = (σ/√n)

σ = standard deviation = 45 hours

n = Sample size = 30

σₓ = (45/√30) = 8.2158383626 = 8.216

z = (688 - 700) ÷ 8.216

z = 1.46

checking the tables for the p-value of this z-statistic

Significance level = 0.05 (This is used when significance level isn't given)

The hypothesis test uses a two-tailed condition because we're testing in two directions.

p-value (for z = 1.46, at 0.05 significance level, with a two tailed condition) = 0.14429

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.14429

0.14429 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours.

Hope this Helps!!

Answer:

Step-by-step explanation:

15 gal/300 miles = 1 gal/20 miles

The estimate for the value of 5^(3/2) using the tangent line approximation of the function y = x^(3/2) at x = 4 is 11.

To estimate the value of 5^(3/2), we can use the tangent line approximation of the function y = x^(3/2) at x = 4.

First, we need to find the slope of the tangent line at x = 4. To do this, we take the derivative of the function y = x^(3/2):

y = x^(3/2)

y' = (3/2)x^(1/2)

y'(4) = (3/2)(4)^(1/2) = 3

So the slope of the tangent line at x = 4 is 3.

Next, we need to find the equation of the tangent line at x = 4. To do this, we use the point-slope form of the equation of a line, using the point (4, 8):

y - 8 = 3(x - 4)

y = 3x - 4

Now we can estimate the value of 5^(3/2) by substituting x = 5 into the equation of the tangent line:

y = 3x - 4

y = 3(5) - 4

y = 11

Therefore, an estimate for the value of 5^(3/2) using the tangent line approximation of the function y = x^(3/2) at x = 4 is 11.

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The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

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Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

  3000

Step-by-step explanation:

There are 5 odd digits, so 5^3 = 125 ways to have 3 odd digits.

Given 3 odd digits, the first digit can be even, but not zero, so there are 4 ways to do that.

The second, third, or fourth digits can be even 5 ways, so there are ...

  125(4 +5 +5 +5) = 2375

ways to have 3 odd digits in a 4-digit number.

__

There are 5^4 = 625 ways to have 4 odd digits.

The number of 4-digit numbers with 3 or 4 odd digits is ...

  2375 +625 = 3000

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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The solution is x > 3. The values of x are greater than 3.

It is a mathematical symbol that represent the non-equal comparison between different terms as well as other mathematical expressions. Inequality is various types such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤.

Given, 0.3 (x -4) > -0.3

at first, we will remove the parenthesis and multiply by the given factor

0.3 × x - 0.3× 4 > -0.3

0.3x - 1.2 > - 0.3

now we add 1.2 to both side in order to isolate the variable terms

0.3x - 1.2+1.2 > - 0.3 + 1.2

0.3x > 0.9

in the next both side is divided by 0.3

0.3x/ 0.3 > 0.9/ 0.3

x > 3

the above is the result

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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The ROI (Return on Investment) for the above investment is 106.67%.

What is the Return on Investment?

ROI (Return on Investment) is one that is seen as a financial metric used to know the profitability of an investment relative to its cost.

The formula for ROI is:

ROI = (Net Profit / Cost of Investment) x 100%

Hence, the cost of investment is the sum of the price as well as the renovation cost, will be:

Cost of Investment = $100,000 + $50,000

                               = $150,000

Note that the The net profit from the sale of the house is $160,000.

So, the ROI can be calculated as:

ROI = (Net Profit / Cost of Investment) x 100%

= ($160,000 / $150,000) x 100%

= 106.67%

So, the ROI for the above investment is 106.67%.

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Answer:

Just report the other guy or take down his answer because he was not even trying to help but the answer is Decreases

Step-by-step explanation:

Complete question is attached below :

Answer:

40, 66, 55, 70, 80, 58, 65 - option B

Step-by-step explanation:

From the boxplot attached ;

We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40

The maximum temperature, is the 80, denoted by end of the end whisker.

The median is the value in the middle of the box which is 65

Lower quartile being 55 and upper quartile being 70

Hence, From the options given, the most appropriate answer will be :

40, 66, 55, 70, 80, 58, 65 - option B

IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80

Answer: 20 5/8 gallons of water

Step-by-step explanation: First, we have to do the 42 1/2 (total) minus 1 1/4, which is 41 1/4. Half (1/2) of 41 1/4 is 20 5/8. So Jeanette used 20 5/8 gallons to wash her laundry.

Answer:

64

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Those 2 angles (the one you are given and the one you want to find) are vertically opposite.

Vertically opposite angles are equal.

Therefore the answer is 64 degrees.

Answer:

D

Step-by-step explanation:

225 is the closest to point (200, 200)

Answer:

c

Step-by-step explanation:

trust

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

The answer is x = 5

Step-by-step explanation:

1) Remove parentheses.

\(x - 4 - 1\)

2) Add 4 to both sides.

\(x = 1 + 4\)

3) Simplify 1 + 4 to 5.

\(x = 5\)

Therefor, the answer is x = 5.

Answer:

X = 5

Step-by-step explanation:

This is an example of a basic algebraic equation! The explanation is below

\((x-4)=1\\x-4=1\\x-4+4=1+4\\x=5\)

Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!

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Answer:

the answer is D. $48

Step-by-step explanation:

All you have to do is divide 36 by 75%,

so put 36 ÷ 0.75 into your calculator and 48 is your answer!

You also could've done a process of elimination.

A, B, and C are clearly not the answer bc Jackie already has $36 in her purse and the question tells us that the $36 is only 75% of all the money she has, so we are looking for a number bigger than 36.

Soooo, D. is our only logical answer since it is $48 and the last time checked 48 is greater than 36.

hope this helps!!!

Answer:

Please like this

Step-by-step explanation:

money money

The regression equation is: y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):

b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)

bo = (ΣY - b1ΣX) / N

Where:

N = Number of data points (in this case, 11)

ΣX = Sum of all X values (prices)

ΣY = Sum of all Y values (average number of pounds sold per day)

ΣXY = Sum of the product of X and Y values

\(\sum X^2\) = Sum of the squares of X values

Using the provided data:

Ex = 210

Xy = 450

Zcy = 10387

Zz = 7275

Xy = 42471

Let's calculate the required values:

N = 11

ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872

ΣY = Xy = 450

ΣXY = Xy = 450

\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)

Now, substitute these values into the formulas to find b1 and bo:

\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)

= -14112250 / 2050445128

≈ -0.0068824

bo = (450 - (-0.0068824 \(\times\) 17872)) / 11

= (450 + 122.7790368) / 11

≈ 36.8881

Therefore, the regression equation is:

y = -0.0068824x + 36.8881

So, the correct option is:

D) None of these.

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The complete question may be like:

Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.

Answer:

a. −1973700x

b. 0.12

c. 1344

d. − 36.2

Step-by-step explanation:

Answer:

a: 1973700

b: 0.12

c: 1,344

d: -36.2

Answer:

Step-by-step explanation:

(4, 2)

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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