Write the algebraic expression to represent each verbal expression:the product of -11 and the square of a number

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

Answer:Please see answer in explanation column

Step-by-step explanation:

A

The sum of a number and 7 is not more than 10

Given answer: x + 7 < 10  , This is false

Reason :Not more than 10 means at most 10, less than or equal to 10 , " or " not greater than 10 "and therefore the correct inequality  is written as

x + 7  ≤ 10

B

The product of a number and 4 is at least 20

Given answer: 4X > 20  ---- False

Reason :At least 20  means at no less than 20 " or " greater than or equal to 20  therefore the correct inequality  is written as

4X ≥ 20

C

The difference between a 15 and a number is at most 12

Given answer: 15-x>12----False

Reason :At most 12  means  " no more than 12 , "  " less than or equal to 12 , " or " not greater than 12"therefore the correct inequality  is written as

15-x  ≤  12

D

The quotient of a number and 8 is greater than or equal to

Given answer 8x <3 --False

Reason : It clearly stated greater than or equal to 3. Therefore the correct inequality is  8x  ≥ 3

9 gallons + 7 gallons = 16 gallons

1 qt + 2qt = 3 qts

Total = 16 gallons and 3 qts.

Answer:

yes

to determine if she would have enough space, divide 20.4 by 3.4. this gives 6

Katrin has 6 letters

so it would be enough

Step-by-step explanation:

Number of spaces created = length of the line / distance between each space

20.4 / 3.4 = 6

Katrina is made up of 6 letters.

the space would fit

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Given:-

To find the simplified form.

The first steps is to make the LHS only x. so we substract 21 on both sides. so we get,

So the required solution is x = 5.

Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

Step-by-step explanation:

x = 3

y = - 2

z = 6

\(7xyz\)

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Using the normal distribution, it is found that 2.5% of the snakes are longer than 16.6 in.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are respectively, given by \(\mu = 15, \sigma = 0.8\).

The proportion of the snakes are longer than 16.6 in is 1 subtracted by the p-value of Z when X = 16.6, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{16.6 - 15}{0.8}\)

\(Z = 2\)

\(Z = 2\) has a p-value of 0.975.

1 - 0.975 = 0.025 = 2.5% of the snakes are longer than 16.6 in.

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Answer:

D - 5%

Explanation:

Answer:

B) The profit is maximized when 300 adult tickets and 0 student tickets are sold

Step-by-step explanation:

We are given this equation for the profit made by selling tickets to the school play.

P = 5x + 2y

We see that adult tickets are worth $5.00 each, while student tickets are worth less at $2.00 each.

It makes sense that selling more adult tickets than student tickets would result in greater profit.

Therefore, the answer choice that states B) The profit is maximized when 300 adult tickets and 0 student tickets are sold is the correct answer.

Answer:

48 percent

Step-by-step explanation:

Correct question is;

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons.

a. What is the value of the population mean? What is the best estimate of this value?

b. Explain why we need to use the t distribution. What assumption do you need to make?

c. For a 90 percent confidence interval, what is the value of t?

d. Develop the 90 percent confidence interval for the population mean.

e. Would it be reasonable to conclude that the population mean is 68 gallons?

Answer:

A) Best estimate = 74 gallons

B) because the population standard deviation is unknown. The assumption we will make is that the population follows the normal distribution.

C) t = 1.725

D) 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) Yes

Step-by-step explanation:

We are given;

Sample mean; x' = 74

Sample population; n = 21

Yearly Standard deviation; s = 16

A) We are not given the population mean.

So the closest estimate to the population mean would be the sample mean which is 74.

B) We are not given the population standard deviation and as such we can't use normal distribution. So what is used when population standard deviation is not known is called t - distribution table. The assumption we will make is that the population follows the normal distribution.

C) At confidence interval of 90% and DF = n - 1 = 21 - 1 = 20

From t-tables, the t = 1.725

D) Formula for the confidence interval is;

x' ± t(s/√n) = 74 ± 1.725(16/√21) = 74 ± 6.0228 = 67.9772 or 80.0228

Thus 90% confidence interval for the population mean is (67.9772, 80.0228) gallons

E) 68 gallons lies within the range of the confidence interval, thus we can say that "Yes, it is reasonable"

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

Answer:

Volume of water in the pool is 3,182 ft^3

Step-by-step explanation:

In this question, what we want to calculate is the volume of water in the pool.

We proceed as follows;

diameter of pool = 30ft

depth: 2 to 7ft linearly

average depth = (2 + 7)/2 = 9/2 = 4.5 ft

Volume = area * average depth

V = pi * radius^2 * 4.5

where radius = diameter/2 = 30/2 = 15 ft

V = pi * 15^2 * 4.5

V = 22/7 * 225 * 4.5

V = 3,182.14 ft^3

which is 3,182 ft^3 to nearest whole number

The volume of water in the pool is; Volume = 3181 ft³

We are given;

Diameter of swimming Pool; d = 30 ft

Thus; radius; r = d/2 = 30/2 = 15 ft

We are told that the depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end.

Thus, average depth is;

h_avg = (2 + 7)/2

h_avg = 4.5 ft

Formula for area is; A = πr²

Thus;

A = π × 15²

A = 225π

Formula for volume here is;

Volume = Area × depth

Volume = 225π × 4.5

Volume = 3180.86 ft³

Approximating to a whole number gives;

Volume = 3181 ft³

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Answer: 30 cents

Step-by-step explanation:

1/20 of a dollar is 5 cents

Then we multiply by the numerator (6) to get our answer....

5x6= 30

Hoped this helps! :)

Answer:

\(m\angle 3=30^\circ,~m\angle 8=150^\circ\)

Step-by-step explanation:

Angles and Lines

We must recall some properties of angles and lines:

Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.

Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.

The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:

Angles 3 and 4 are linear pair

Angles 8 and 4 are corresponding.

The first relation leads to:

\(m\angle 3+m\angle 4 = 180^\circ\)

The second relation leads to:

\(m\angle 4 = m\angle 8\)

Since:

\(m\angle 3=x\)

\(m\angle 8=5x\)

Substituting:

\(x + 5x = 180^\circ\)

Simplifying:

\(6x = 180^\circ\)

Solving for x:

\(x = 180^\circ/6\)

\(x = 30^\circ\)

Now,

\(m\angle 3=x=30^\circ\)

\(m\angle 8=5x=150^\circ\)

\(m\angle 3=30^\circ,~m\angle 8=150^\circ\)

Answer:

3/2

Step-by-step explanation:

slope formula is

y2 - y1 / x2 -x1 = m

so now we just plug in our coordinates.

-4 - 2 / -1 - 3 = -6 / -4 = 3/2

Answer:

the correct answer is: c (-3,-6)

Trapezoid WXYZ is located at W(0,5) X(3,8) Y(7,8) and Z(10,5). After a translation 8 units left, the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3).

What is trapezoid?

In mathematics, a quadrilateral with at least one set of parallel edges is referred to as a trapezoid in American and Canadian English, or a trapezium in British and other types of English. In Euclidean mathematics, a trapezoid is a convex parallelogram by definition. The bases of the trapezoid are the horizontal edges.

Given,

W(0,5) X(3,8) Y(7,8) and Z(10,5)

If A(x,y), after being translated left c units, then A(x,y) is written as A(x,y-c)

Then the new coordinates of the vertices are written as-

W(0,5) after being translated left 8 units written as w(0,-3)

X(3,8) after being translated left 8 units written as X(3,0)

Y(7,8) after being translated left 8 units written as Y(7,0)

Z(10,5) after being translated left 8 units written as Z(10,-3)

Hence the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3)

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The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.

To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.

Find the present value of maintenance costs over five years using the gradient formula:

where A = $135, i = 12%, g = 0, n = 5

PV maintenance = $501.21

Find the present value of operating costs over five years using the present value formula:

where C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5

PV operation = $3,322.08

Find the EUAC using the formula:

where A/P = [(1+i)^n * i] / [(1+i)^n - 1]

Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:

where PV salvage = $3,580 / \((1+i)^5\)

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Use the Chain Rule:

\(\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)\)

Given Information:

\(f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))\)

The answer is:

\(5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))\)

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

here is ur answer seeee now

Solution:

First of all, we must find the 20% of 180 minutes:

180 x 0.20 = 36 minutes.

That means that the bus takes an extra 36 minutes in traffic. So that, if there

was no traffic congestion the total time is:

180-36 = 144 minutes.

So that, we can conclude that the correct answer is:

144 minutes.

Answer:

The answer to this is (2, 7).

The teeth on the key are busted and now they must be readjusted and the code is 12y×2x^2.

Coding in Math is a series of the independent, standalone modules to that is  use coding to reinforcement and extended by to the  students' understandings of to the  math.! As students learning major programming is  concepts, they will development math-related to the  projects that is  demonstrate their proficiency by math and to the computer science.

18xy^2z^2=2xy^2 z×9xz

20xy^2z= 2xy^2z×10x^2

11xy^z=xyz^2×11

180y=9y×2x

24xy =12y×2x^2

(Take the greatest common factor)

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Answer:

indeed

Step-by-step explanation:

3+3=6