A motorboat is capable of traveling at a speed of 10 miles per hour in still water. On a particular​ day, it took 15 minutes longer to travel a distance of 6 miles upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that​ day?

Answer:

E

Step-by-step explanation:

Based on the given linear regression equation, Bill's score on the final exam would be calculated as follows:

y = 10 + 0.9 * 90 = 98

The amount of interest Maria owes after 6 month of graduation, if she take a subsidized loan of $5,000 and unsubsidized loan of $4,500 is $508.75.

Therefore, the answer is $509.

Subsidized loan

Here, the time period is considered only after graduation, so time period is 6 months, that is 0.5 year. We know simple interest formula where P is the principal amount, r is annual interest rate and n time period in years.

I = P×r×n

Therefore I₁ =  5000 × 0.055 × 0.5

I₁ = 137.5

Unsubsidized loan

Here the time period is considered from the time the loan taken, so time period is one year of graduation plus 0.5 year, i.e. n = 1.5yrs.

Therefore, I₂ = 4500 × 0.055 × 1.5

I₂ = 371.25

Therefore total interest for both the loan is

I = I₁ + I₂

I = 137.5 + 371.25

I = 508.75

I ≈ $509

--The question is incomplete, the complete question is as follows--

"At the beginning of her senior year Maria received a $5,000 subsidized loan and a $4,500 unsubsidized loan with an apr of 5.5%. if maria begins making payments on her loans 6 months after graduation, how much interest will she owe to the nearest dollar?"

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Total bill that should be paid by Olive is $46.61. Olive's calculation is incorrect because she is applying the discount and tax to the original price of the clothes rather than to the discounted price.

A total bill is the final amount of money that is due for payment, usually for goods or services that have been provided. It is the sum of all charges, fees, taxes, and other expenses that have been incurred. The total bill may be presented as a single amount or as a breakdown of the various charges that make up the total.

The correct expression to calculate the total cost of the clothes would be:

Total cost = (Original price * (1 - Discount rate)) * (1 + Tax rate)

In this case, the original price is $54.50, the discount rate is 20%, and the tax rate is 7.5%. Plugging these values into the above expression gives us:

Total cost = (54.50 * (1 - 0.20)) * (1 + 0.075)

Total cost = (54.50 * 0.80) * 1.075

Total cost = $43.60 * 1.075

Total cost = $46.61

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Answer:

Step-by-step explanation:

To be honest I would help but I can't. Although the question looks familiar

Answer:

$25.30(0.08) = $2.024. I hope this helped! $27.32 + $4.92 = $32.24 in total! I hope this helped

Step-by-step explanation:

If m<10 = m<3, then the lines are parallel by the: alternate exterior angle converse theorem.

The pair of angles known as alternate external angles are those that are generated on the other side of the transversal from the parallel lines' outer side.

According to the opposite of the alternative exterior angle theorem, if two lines are cut by a transversal and their alternate exterior angles are congruent, the lines are parallel.

In the figure angel 10 and 3 are alternate exterior angles

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Answer:

A) F(x) = 1/(x-2)(x-2)

Step-by-step explanation:

Below in the picture of how the graph will look like:-

I hope my answer helps you.

Whats the problem put a proper question

Answer:

  (c)  (1/14)xy(x² +8y)

Step-by-step explanation:

You want the greatest common factor factored out of the expression 1/14x³y +8/14xy².

The coefficients 1/14 and 8/14 have a common factor of 1/14.

The variable terms x³y and xy² have variables x and y. The exponents of x are 3 and 1, so x¹ = x will be the common factor.

Similarly, the exponents of y are 1 and 2, so y¹ = y will be their common factor.

When we factor out (1/14)(x)(y) from the terms of the given expression, it becomes ...

  1/14xy(x² +y)

Standard error for sample proportion = √{[p₁/p₂(1-p₁/p₂)]/2}

What means standard error?

Standard error is a statistical statement that express the accuracy of an estimation resulting from survey study. It indicates how much a sample means is differ from actual population mean.

How to calculate standard error?

We calculate standard error for the two-survey group by using the following formula.

√[p(1-p)/n]

p is the proportion of freshmen living on campus to the freshmen living off campus

p = p₁/p₂

According to the given question:

p₁ = freshmen living on campus

p₂= freshmen living off campus

n= number of survey group

n=2

hence, standard error =√{[p₁/p₂(1-p₁/p₂)]/2}

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Answer:

The possible pairs of numbers that satisfy the given conditions are (x, y) = (4, 2) and (x, y) = (8, -2).

Step-by-step explanation:

To solve this problem, we can use algebra. Let's call the two numbers x and y. We are given that x + y = 6 and x^2 + y^2 = 28. We can square the equation x + y = 6 to get x^2 + 2xy + y^2 = 36. We can then subtract the equation x^2 + y^2 = 28 from the equation x^2 + 2xy + y^2 = 36 to get 2xy = 8. We can then divide both sides by 2 to get xy = 4.

We can then use the equation x + y = 6 to write x = 6 - y, which we can substitute into the equation xy =  to get (6 - y)y = 4. Solving this equation for y yields y = 2 or y = -2.

If y = 2, then x = 6 - y = 6 - 2 = 4, so the two numbers are x = 4 and y = 2. If y = -2, then x = 6 - y = 6 + 2 = 8, so the two numbers are x = 8 and y = -2. Therefore, the possible pairs of numbers that satisfy the given conditions are (x, y) = (4, 2) and (x, y) = (8, -2).

Answer:

The correct answer is A (x+1)(7x-10).  

Step-by-step explanation:

To determine the dimensions of a rectangular poster that will cover an area represented by 7x² + 3x - 10, we need to find the factors of the expression 7x² + 3x - 10 that will give us the length and width of the poster.

One way to do this is to factor the expression 7x² + 3x - 10 using the difference of squares method. We can write the expression as follows:

7x² + 3x - 10 = (7x² + 3x) - 10

To factor (7x² + 3x) - 10, we can write the expression as the difference of squares:

(7x² + 3x) - 10 = (7x² + 3x + 10) - (10 + 10)

To simplify the expression, we can complete the square for the terms in parentheses:

(7x² + 3x + 10) - (10 + 10) = (7x² + 3x + 10) - 20

To complete the square, we need to add and subtract the square of half the coefficient of the x term, which is (3/2)² = 9/4. We can rewrite the expression as follows:

(7x² + 3x + 10) - 20 = (7x² + 3x + 10 + 9/4) - (20 - 9/4)

To simplify the expression, we can factor the terms in parentheses:

(7x² + 3x + 10 + 9/4) - (20 - 9/4) = [(7x² + 3x + 10 + 9/4) - (20 - 9/4)]

To simplify the expression further, we can factor out a common factor:

[(7x² + 3x + 10 + 9/4) - (20 - 9/4)] = (x + 1)(7x - 10)

From the given options, the expression that represents the area of the rectangular poster is (x+1)(7x-10), which is equivalent to 7x² + 3x - 10. We can verify this by multiplying (x+1)(7x-10) to get 7x² + 3x - 10. Therefore, the correct answer is A (x+1)(7x-10).

Answer:

8. 1.5

9 (a) $90

   (b) $510

Step-by-step explanation:

8.

[tex]\frac{1}{4} - \frac{2x-7}{8} = \frac {x}{2}[/tex]

Multiply all by 8

[tex]2 - (2x-7) = 4x\\2 - 2x + 7 = 4x\\9 = 4x + 2x\\9 = 6x\\\frac{9}{6} = x\\1.5 = x[/tex]

9. (a)

x = cost of one DVD

Since, a blue-ray disc is equal to 2 DVD minus by 10 dollar, then a blue-ray disc = (2x-$10)

$ 610 = 3x + 2(2x - $10)

$ 610 = 3x + 4x - $ 20

$ 610 + $ 20 = 7x

$ 630 = 7x

Divide both side by 7

x = $ 90

Thus, one DVD cost $ 90.

(b)

Blue-ray disc cost = (2x - $10)

3 Blue-ray disc cost = 3(2x - $10)

= 6x - $30

Replace x with $90, since x = $90

= 6 ($90) - $30

= $ 540 - $30

= $510

The value for x is 25.5 units.

What are the Basic Trigonometry Formulas?

Basic trigonometry formulas are used to find the relationship of trig ratios and the ratio of the corresponding sides of a right-angled triangle. There are basic 6 trigonometric ratios used in trigonometry, also called trigonometric functions- sine, cosine, secant, co-secant, tangent, and co-tangent, written as sin, cos, sec, csc, tan, cot in short.

We have,

Perpendicular side = 18

Hypotenuse side = x

θ = 90/2 = 45°

sinθ = Perpendicular side/Hypotenuse side

sinθ = 18 / x

sin(45°) = 18 / x

1/√2 = 18 / x

x = 18 *√2

x = 25.4558

x = 25.5

Hence, the value for x is 25.5 units.

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The equation that shows the relationship is y = 6 + x

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

Initial number of pieces = 6

Additional number of pieces per week = 1

The equation that shows the relationship is represented as

Number of pieces = Initial number of pieces + Additional number of pieces per week * Number of weeks

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

Number of pieces = 6 + 1 * Number of weeks

So, we have

Number of pieces = 6 + Number of weeks

Using the representations:

We have

y = 6 + x

Hence, the equation is y = 6 + x

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Step-by-step explanation:

Incomplete problem...

Answer:

£2.94

Step-by-step explanation:

You need two 750g boxes to get 1500g of cornflakes.

Buy one and get 2nd at half price:

1.96 + 1.96/2 = £2.94

The circumference of a circle is 32π feet, which is the correct answer would be option (B).

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

We have to determine the circumference of a circle whose radius is 16 feet

As per the question, we have

The radius of the circle r = 16 feet

Circumference of a circle = 2πr

Substitute the value of r in the above formula, and we get

Circumference of a circle = 2π(16)

Circumference of a circle = 32π

Hence, the correct answer would be an option (B).

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The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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If the data display is strongly skewed right, it means that there are relatively more households with a higher number of children compared to households with a lower number of children. This means that the median value is likely to be higher than the mean value of 3 children per household.

Possible values for the median could be 4, 5, or even higher. It is not possible to determine the exact value of the median without more information about the distribution of the data. However, it is reasonable to assume that the median could be 4 or 5 children per household in this case.

The use of visual representations to organize, summarize, simplify, or alter data aids in the presenting of judgments and conclusions. Data visualizations like matrices and networks are frequently used to improve data analysis; they are more frequently found in quantitative research than in qualitative ones.

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Answer:

A) 0

B) 1

C) 3

Step-by-step explanation:

edge 2023

Answer:

It's 111 degrees

Step-by-step explanation:

The unknown angle is alternating with the 111 degrees angle

Answer: The diver descended 20 meters below sea level and then ascended 8 meters.

Step-by-step explanation: The expression 2 + (-20) + 8 describes the diver's movements in relation to sea level. The first number, 2, represents the diver's initial position at sea level. The second number, -20, represents the diver's descent below sea level by 20 meters. The third number, 8, represents the diver's ascent back up to sea level. This can be interpreted as the diver starting at sea level, descending 20 meters below sea level, and then ascending 8 meters back up to sea level.

A Discrete random variable has either a finite or a countable number of values.

A discrete random variable is a random variable that is capable of taking on only a finite or countable number of distinct values. This means that the possible values of the random variable can be listed out, such as 1, 2, 3, 4, and so on.

Discrete random variables are commonly used in statistics to describe situations where the possible outcomes can be counted, such as the number of heads in a series of coin flips, or the number of students in a class.

Discrete random variables can take on either discrete values (such as integers) or continuous values (such as real numbers). They are often used to model a process that is composed of a finite number of distinct steps, such as a multiple choice test with a fixed set of questions and answers.

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The total amount Austin to pay if she were to buy 7 snacks for everybody to share is $119.

What is a numerical expression?

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

Here, we have

Given,

Austin is going to see a movie and is taking his 5 kids.

Each movie ticket costs $14 and there is an assortment of snacks available to purchase for $5 each.

The total amount Austin to pay if he were to buy 7 snacks for everybody to share is,

= (14×7) + (3×7)

= 98 + 21

= $119

Hence, the total amount Austin to pay if she were to buy 7 snacks for everybody to share is $119.

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The total height of Dange after calculation from the given data is 48 inches.

Let x be the Dange's height ,

then,

27.5% of x = 13.2

x = 13.2*100 / 27.5

x = 48 in

Therefore , he is 48 inch tall.

A value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.

To obtain a percentage we just need to divide it by 100 and then multiply the obtained result by 100.

As a result, the proportion refers to a component per 100. Percentage is denoted as a portion of 100 of something.

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Answer: 9%

Step-by-step explanation:

First, take 94.83 divided by 87, then times 100% = 109%

Then take 109 -100 = 9%

So the sales tas percentage is 9%

Answer: x=4, y=4

Step-by-step explanation:

y+12=4y

x+36=10x

solve for y

y+12-12=4y-12

y=4y-12

y-4y=4y-4y-12

-3y=-12

y=4

Solve for x

x+36=10x

x+36-36=10x-36

x=10x-36

x-10x=10x-10x-36

-9x=-36

x=4

Answer:

19 times j

Step-by-step explanation:

To combine 3 times j and 16 is 7 times j, we can add the two expressions together:

3 times j + 16 is 7 times j = (3 + 16) times j = 19 times j

Therefore, the combined expression is 19 times j.

Answer:

x = 18

Step-by-step explanation:

You apply the exponent rules

4x = 3 (x + 6)

Then you solve 4x =3  (x + 6)  

Which gives you 18