20 x 20 x 20 in exponential form is

Answer:

A--> D

B-->A

C--> C

D-->B

Answer:

Step-by-step explanation:

Answer:

The answer for this problem would be 52.40, or 53.4

Step-by-step explanation: First, you would need to multiply your diameter by pi. Or, 17 x π to equal 52.40 or 53.4.

Incomplete question. The remaining part of the question reads;

Here are the places they could visit:

I calculated the cost of going to 'Big City Zoo and Space Science'.

Answer:

Big City Zoo = $3.86

Space science = $1.35

Step-by-step explanation:

For Big City Zoo:

Entrance fee: $2.5 x 25 = $62.5

Charges per mile: $6.5 x 36 = $234

Total cost of trip= $296.5

Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).

For Space Science:

Entrance fee: $6.75 x 25 = $168.75

Charges per mile: $6.5 x 10 = $65

Total cost of trip= $233.75.

Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).

Answer:

x>9

Step-by-step explanation:

x+3>12

Subtract 3 from both sides.

x>12−3

Subtract 3 from 12 to get 9.

x>9

The femurs of the lower performer would stretch by approximately 0.176 meters (17.6 centimeters) due to the upward force from the upper performer.

The deformation of the femurs of the lower performer can be calculated using Hooke's law, which states that the deformation of a material is proportional to the force applied to it. Assuming that the femurs behave like linear springs, we can use the equation:

ΔL = F/k

where ΔL is the change in length of the femurs, F is the upward force on the lower performer's legs (3mg), and k is the spring constant of the femurs.

The spring constant of bone is difficult to determine, as it varies with bone density and structure. However, studies have found that the spring constant of femoral cortical bone (the outer layer of bone) ranges from 10,000 to 20,000 N/m.

Assuming a conservative estimate of k = 10,000 N/m, we can calculate the deformation of the femurs as follows:

ΔL = (3mg) / (10,000 N/m)

= (3 x 60 kg x 9.81 m/s^2) / (10,000 N/m)

= 0.176 m

Therefore, the femurs of the lower performer would stretch by approximately 0.176 meters (17.6 centimeters) due to the upward force from the upper performer.

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Answer:

The runners will be in a straight line after 1/2 seconds.

To solve this problem, we can set the y-coordinates of each runner equal to each other and solve for t. The y-coordinate represents the lane number, and if the lane numbers are equal, the runners are on a straight line.

Jon: y = 1

Laura: y = 2

Ellis: y = 4

Jon: 3t = 1

Laura: 4t = 2

Ellis: 6t = 4

Solving these equations simultaneously, we find that t = 1/2 seconds. This means that after 1/2 seconds, the runners will be in a straight line.

Answer: maybe 1 ‍♀️

Step-by-step explanation:

A graph that is commonly used to compare the relationship between a categorical and a quantitative variable is a box plot, also known as a box-and-whisker plot.

A type of graph is particularly useful for visually displaying the distribution, central tendency, and variability of the quantitative variable across different categories.
In a box plot, the categorical variable is represented along the x-axis, while the quantitative variable is represented on the y-axis. For each category, a box is drawn to show the interquartile range (IQR), which contains the middle 50% of the data. The line inside the box represents the median, a measure of central tendency. Whiskers extending from the box show the range of the data, excluding possible outliers.
This graphical representation allows for easy comparison between categories, making it an effective tool for analyzing the relationship between a categorical and a quantitative variable.

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Answer:

  (a) 56

Step-by-step explanation:

You want the number that is 80% of 70.

In this context, "of" means "times." Thus "80% of 70" is "80% times 70".

Some calculators have a % key that lets you calculate this directly. Otherwise you may need to convert the percentage to a fraction.

The % symbol is effectively interchangeable with "/100", so we have ...

  80% of 70 = 80/100 × 70

At this point, you can employ what you know about multiplication and division to simplify this to a problem you can do in your head.

  = (80×70)/100 = (8×7×100)/100 = 8×7 = 56

If you want a grade of 80%, you need to get 56 questions correct.

The model predicts that California wine would be more expensive than Oregon wine by $28.00.

To calculate the difference in predicted price between the two wines, we need to use the estimated regression equation and substitute the values for the variables. Let's say our estimated regression equation is:

Price = 50 + 2.5(Rating) + 10(California) - 8(Oregon)

Both wines have a rating of 90, so we can substitute that value in:

Price of California wine = 50 + 2.5(90) + 10(1) - 8(0) = 295

Price of Oregon wine = 50 + 2.5(90) + 10(0) - 8(1) = 267

Therefore, the predicted price of California wine is $295 and the predicted price of Oregon wine is $267. The difference between the two is $28.00.

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Answer:

i dont

Step-by-step explanation:

thanks for points thoo

Answer:

WRONG ALL

Step-by-step explanation:

3. Should be:

\( - 4 \frac{7}{8} \times \frac{2}{3} \\ \\ - \frac{39}{8} \times \frac{2}{3} \\ \\ \frac{ -13}{4} \)

4. Should be:

\( - 3 \frac{1}{5} + - \frac{2}{3} \\ \\ - 3 \frac{3}{15} - \frac{10}{15} \\ \\ - 3 \frac{7}{15} \)

I hope this helps you :)

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

it is needed to reach some ranks

Step-by-step explanation:

can I get brain liest?

Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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The scale Denise used is as follows:

3 centimetres: 2 metres

Denise measured a community college and made a scale drawing. In real life, at the college is 122 meters long. it is 183 centimetres long in the drawing.

The scale of Denise use can be calculated as follows:

Using the proportional relationship,

3 / x = 183 / 122

cross multiply

122(3) = 183x

366 = 183x

divide both sides by 183

x = 366 / 183

x  = 2 metres.

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The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

D

Step-by-step explanation:

10 dimes = 1.00

3 nickels =15 cent

Answer:

B. 5 nickles and 9 dimes

Step-by-step explanation:

For this problem, the answer needs to both be equivalent to $1.15 and have a total of 14 nickels and dimes.

B is the only answer choice that has a total of 14 nickels and dimes and is equivalent to $1.15:

9 nickels+5 dimes=total of 14 coins while 5 nickels (25 cents) and 9 dimes (90 cents) is equivalent to $1.15.

There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

12.00 because you can change 15% to 0.15 then multiply 80 and 0.15 together and it will give you 12.00

The value of k is n(n+1)/2 and the mean of X in terms of n is (n+1)/3.

Given that: The probability distribution of a discrete random variable X is given by P(X=r)=kr, r = 1, 2, 3,…, n, where k is a constant.

To show that k=n(n+1)2, we have to show that the sum of all probabilities is equal to 1.

If we sum all probabilities of X from r = 1 to n, we get the following: P(X=1)+P(X=2)+P(X=3)+...+P(X=n) = k(1+2+3+...+n) = k[n(n+1)/2]If the sum of all probabilities is equal to 1, then k[n(n+1)/2] = 1.

So we get:k = 2/(n(n+1)) Also, the mean of X is given by the following formula:μ = ∑(rP(X=r)) , where r is the possible values of X and P(X=r) is the probability of X taking on that value.

We have:μ = ∑(rP(X=r)) = ∑(rkr) = k∑r² = k(n(n+1)(2n+1))/6

Substituting k = 2/(n(n+1)), we get:μ = (2/(n(n+1))) x (n(n+1)(2n+1))/6 = (2(2n+1))/6 = (n+1)/3

Hence, the value of k is n(n+1)/2 and the mean of X in terms of n is (n+1)/3.

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Based on mathematical operations, to get 8 by adding 2, 5, and 7, you need to subtract 6 from the sum.

The mathematical operations include addition, subtraction, division, multiplication, exponentiation, and functions.

The addition and subtraction operations are two of the four basic mathematical operations.

The addition operation involves two or more addends added together to get a result known as the sum or total.

The subtraction operation involves the minuend, subtrahend, and difference.

2 + 5 + 7 = 14

To get 8 as the result, subtract 6 from 14:

14 - 6 = 8

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Answer:

\(62^{o}\)

Step-by-step explanation:

All the angles in a triangle add up to \(180^{o}\)

Every right angle triangle has a right angle in it which is \(90^{o}\)

So to find the remaining angle, you do \(180^{o}\) - \(90^{o}\) - \(28^{o}\) = \(62^{o}\)

Answer:

51

17+34

Step-by-step explanation:

A rhombus basically a parallelogram

>therefore, it has congruent sides.

Side GF=DE and side FE=GD, etc.

s+34=3s

34=2s

17=s

S=17

Answer:

Step-by-step explanation:

rhombus means the all the sides are equal.

s+34=3s

s= 17

DE= 17*3= 51

Answer:

Let's first calculate the amount of interest that would be earned if the interest were compounded annually. The formula for the future value of a single sum is:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 1 (annual compounding)

t = 30

So, the future value of the account with annual compounding is:

F = $10,000 * (1 + 0.018/1)^(1 * 30) = $10,000 * (1.018)^30 = $21,784.08

Now, let's calculate the amount of interest that would be earned if the interest were compounded monthly. The formula for the future value of a single sum is the same, but we need to use the monthly compounding rate (r/12) instead of the annual rate and the number of months (12t) instead of the number of years:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 12 (monthly compounding)

t = 30

So, the future value of the account with monthly compounding is:

F = $10,000 * (1 + 0.018/12)^(12 * 30) = $10,000 * (1.0015)^360 = $22,254.51

The difference in the two future values is $22,254.51 - $21,784.08 = $470.43.

So, the account would be worth $470.43 more if interest were compounded monthly rather than annually over a period of 30 years. Round to the nearest dollar, the answer is $470.

Step-by-step explanation:

The average speed of the horse is 25.0m/s

Speed is the rate of change of distance over time

The given parameters are:

The average speed of the horse is then calculated as:

\(Speed = \frac{Distance}{Time}\)

This gives

\(Speed = \frac{800}{32.0}\)

Evaluate the quotient

\(Speed = 25.0\)

Hence, the average speed of the horse is 25.0m/s

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Answer:

-3/4

Step-by-step explanation:

The objective function can be written as q = x^2(22 - x) or q = (22 - y)^2y, depending on whether you express it in terms of x or y, respectively.

To write the objective function q = x^2y in terms of x, we can substitute the value of y from the constraint equation x + y = 22.

Given x + y = 22, we can solve for y as y = 22 - x.

Substituting this value of y into the objective function q = x^2y, we get:

q = x^2(22 - x)

To write the objective function in terms of y, we can solve the constraint equation for x as x = 22 - y.

Substituting this value of x into the objective function q = x^2y, we get:

q = (22 - y)^2y

So, the objective function can be written as q = x^2(22 - x) or q = (22 - y)^2y, depending on whether you express it in terms of x or y, respectively.

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In a simple linear regression problem, some key assumptions are made to ensure the model's validity and reliability. Out of the given options, assumption (c) is stated incorrectly.

Assumption (a) states that the distribution of the error term is normal. This assumption is correct, as the error term's normal distribution allows for accurate statistical inferences and hypothesis testing in the regression analysis.
Assumption (b) states that the mean of the error term is 0. This assumption is also correct, as it implies that there is no systematic bias in the model. The errors, on average, should not overestimate or underestimate the dependent variable.
Assumption (c) states that the variance of the error term increases as x increases. This assumption is incorrect, as it contradicts the homoscedasticity assumption in linear regression. The correct assumption is that the variance of the error term should be constant across all levels of the independent variable (x). This constant variance ensures that the model's predictions are equally reliable for all values of x.
Assumption (d) states that the errors are independent. This assumption is correct and crucial for a linear regression analysis. The independence of errors means that the error term for one observation is not related to the error term of any other observation. This prevents any underlying patterns or relationships in the data from being mistakenly attributed to the linear relationship between the independent and dependent variables.
In summary, assumption (c) is stated incorrectly, as the variance of the error term should remain constant across all values of the independent variable in a simple linear regression analysis.

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