A few times a week, Scott treats himself to a small latte from his favorite coffee shop. Each
latte costs $3.55. If Scott bought 15 lattes last month, how much did he spend?

Answer:

The answers are B C D

Step-by-step explanation:

A and E are not in their simplified form.

Answer:

\(\frac{3}{8}\) or 0.375

Step-by-step explanation:

Answer:

it's linear expression cuz the highest power of the unknown is 1

Answer:

Step-by-step explanation:

\(\tt 2 (a + 2b)- a - 2b\)

Expand:-

\(\tt 2a+4b-a-2b\)

Combine like terms:-

\(\tt 2a-a=\bf a\)

\(\tt a+4b-2b\)

\(\tt 4b-2b=\bf 2b\)

\(\tt a+2b\)

______________________

Hope this helps!

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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Answer:

x=-3

Step-by-step explanation:

first multiply them out: 5x+20=2x+11

then subtract both sides by 2x: 3x+20=11

subtract both sides by 20: 3x=-9

divide both sides by 3: x=-3

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

5(x + 4) = -2(-4 - x) + 3

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

A multiplication table is often referred to as a square matrix because it has an equal number of rows and columns.

A square matrix is a matrix that has the same number of rows and columns. In a multiplication table, each row represents a number being multiplied by all the numbers from 0 to 9, and each column represents a number being multiplied by all the numbers from 0 to 9. Therefore, since there are 10 numbers being multiplied by 10 other numbers, a multiplication table has 10 rows and 10 columns, making it a square matrix. This term is often used in mathematics to describe any matrix that has an equal number of rows and columns.
This allows for the representation of all possible products between the numbers 0 to 9, with each cell in the matrix containing the result of multiplying the corresponding row and column numbers.

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The probability that x is either less than 3 or greater than 8 is 0.375   .

In the question ,

it is given that ,

a continuous random variable X , is uniformly distributed between 2 and 10 ,

So , alpha(α) = 2 and beta(β) = 10 .

the probability that x is either less than 3 or greater than 8 can be calculated by :

P(X < 3  or X > 8) = 1 - (8 - 3)/(β - α)

= 1 - (8 - 3)/(10 - 2)

= 1 - 5/8

On simplifying further ,

we get ,

= 0.375

Therefore , the probability P(X < 3  or X > 8) is = 0.375   .

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Answer:

-33/10 or -3.3

Step-by-step explanation:

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

The value of e from the given expression 4(-6e-4)=56 is e = -3.

Given the expression is 4(-6e-4)=56

Expand the expression.

Apply the distributive property.

-24e-16=56

Rearrange variables to the left side of the equation.

-24e=56+16

calculate the sum or difference.

-24e=72

Divide both sides of the equations by the coefficient of variable.

e = -72/24

cross out the common factor.

e = -3

Hence we get the value of e as -3.

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Answer:

False, the (8,27) ordered pair throws it off.  It would need to be (8,24).

Step-by-step explanation:

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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The probability is greater than 5%, it is not unlikely to obtain more than adults with blood type p(>4) =0.1402=14.02% and hence the result is not surprising.

In statistics, probability is the ratio of a number of possibilities in an entire sample of equal progression that produce a specific occurrence to the entire number of alternative possibilities.

Given  that n=7 p=0.44, we can use the binomial probability

\(P (X=k)= \left \ {n} \atop {k}} \right. * p^k* (1-p)^n^-^k\left\)

P(X=5)=\(\left \ {7} \atop {5}} \right. *(0.44)^5*(0.66)^7^-^5\) ≈ 0.10861

P(X=6)= \(\left \ {7} \atop {6}} \right. *(0.44)^6*(0.66)^7^-^6\) ≈ 0.0284

P(X=7)= \(\left \ {7} \atop {7}} \right. *(0.44)^7*(0.66)^7^-^7\) ≈ 0.00321

P(X>4= P(X=5) + P(X=6)+ P(X=7)

= 0.1086+0.0284+0.0032

=0.1402

=14.02%

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The sum of the 3rd cube number and the 4th cube number will be 91.

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The sum of the 3rd cube number and the 4th cube number will be:-

SUM = 3³ + 4 ³

SUM = 27  +   64

Sum = 91

Therefore the sum of the 3rd cube number and the 4th cube number will be 91.

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Answer:

hmm

Step-by-step explanation:

Answer:

Step-by-step explanation:

what grade are you in ?

3/5 3/6 3/7

5/8 7/12 3/4

5/8 7/12 11/16

3/8 1/4 1/3

Answer:

(-37) + (-35) = -76

Step-by-step explanation:

-76/2 =  -38 Take the preceding and following odd integers. They will be consecutive odd integers.

(a) The Null-Hypotheses is H₀ : μ = 12, Alternate-Hypotheses is Hₐ : μ ≠ 12.

(b) The "test-statistic" is 10.36,

(c) The "p-value" is 0.0001,

(d) We make a decision to reject the "Null-Hypothesis",

(e) We conclude that the cans of "regular-Coke" have volumes with mean different from 12 ounces.

Part (a) : The "Null-Hypothesis" is that the mean volume of cans of regular Coke is 12 ounces, as stated on the label. The alternative-hypothesis is that the mean volume is different from 12 ounces.

So, H₀ : μ = 12

Hₐ : μ ≠ 12.

Part (b) : The "test-statistic" for a one-sample t-test is calculated as:

t = (x' - μ)/(s / √n),

where "s" = sample standard-deviation, μ = population mean, x' = sample mean, and n = sample size,

In this case, x' = 12.19, μ = 12, s = 0.11, and n = 36.

So, t = (12.19 - 12)/(0.11/√36) = 10.36,

Part (c) : We know that for "significance-level" of 0.01. The p-value is 0.0001.

Part (d) : Since the p-value is less than the significance-level of 0.01, we reject the null hypothesis.

Part (e) : Based on the results of the hypothesis test, we can conclude that there is sufficient evidence to suggest that cans of regular-Coke have volumes with a mean different from 12 ounces.

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Answer:

A x<1125

Step-by-step explanation:

The tangent ratio is used to solve for a missing angle in a right triangle by dividing the length of the side opposite the angle by the length of the side adjacent to the angle.

Using the tangent ratio, we can find a missing angle in a right triangle by taking the inverse tangent (arctan) of the ratio. For example, if we know the length of the side opposite an angle and the length of the side adjacent to the angle, we can use the tangent ratio to find the value of the angle.

Using the cotangent ratio, we can also find a missing angle in a right triangle by taking the inverse cotangent (arccot) of the ratio. If we know the length of the side adjacent to an angle and the length of the side opposite the angle, we can use the cotangent ratio to find the value of the angle.

The main difference between using the tangent ratio and the cotangent ratio is the order of the sides in the ratio. The tangent ratio involves the opposite side divided by the adjacent side, while the cotangent ratio involves the adjacent side divided by the opposite side.

Both the tangent and cotangent ratios are useful tools for solving right triangles and finding missing angles. The choice between using one or the other depends on the given information and the specific problem at hand.

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Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution  3∫(x^3)(u^5) du.

To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.

Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.

Now, we can rewrite the original integral in terms of u as follows:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.

Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.

Simplifying further, we have:

∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.

Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.

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Complete question:

evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)

Answer:

39°

Step-by-step explanation:

102 + 39 = 141

180 - 141 = 39

Answer:

298

Step-by-step explanation:

The angle of depression the plane should descend is 1.43 degrees.

A plane is flying at an altitude of 25,000 ft when it start it descent to the airport. The plane is a horizontal distance of 1000,000 ft from the airport.

Therefore, let's find the angle of depression.

Hence, this situation forms a right angle triangle.

Therefore,

tan ∅ = opposite / adjacent

where

Hence,

tan ∅ = 25000 / 1000000

∅ = tan⁻¹ 25 / 1000

∅ =  tan⁻¹  0.025

∅ = 1.43209618416

∅ = 1.43 degrees

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Let the number be x

ATQ

\(\\ \sf\longmapsto 3x+2=18\)

\(\\ \sf\longmapsto 3x=18-2\)

\(\\ \sf\longmapsto 3x=16\)

\(\\ \sf\longmapsto x=\dfrac{16}{3}\)

\(\\ \sf\longmapsto x=5.3\)

\(\\ \sf\longmapsto x\approx 5\)

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Answer:

a. 3

b. 9

Step-by-step explanation:

6 / 2 = 3

It takes each person 3 hours.  

a. 3

b.  3*3 = 9

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

\( \) \( \) \( \) \( \)

Answer: The length of the side of the supply closet is 6 feet

Step-by-step explanation:

1. We can separate the box into 2 rectangles.

3 x 8 and 2 x y

3 x 8 = 24

2. The whole closet is 36

36 - 24 = 12

3. The area of the 2 x y rectangle is 12

12/2 = 6

So the length of the y side is 6 feet.