How would you make $17.84. (Use the least amount of bills and coins.) *

Option B is the correct answer. The range of the function is {y: y>9}.

Let us start by graphing the function on a coordinate plane, where the x values will represent the domain and the y values will represent the range.

The graph of the function f(x)=3x+9 will be a straight line with a slope of 3 and a y-intercept of 9.

The slope of the line is positive, which means that as we move to the right in the domain, the function will increase.

The y-intercept is 9, which means that when x=0, the value of f(x) will be 9.

Therefore, we can conclude that the function f(x)=3x+9 has a range of {y: y>9}.

The range is all of the possible values of y that the function can take on.

In this case, as we move to the right in the domain, the value of f(x) will increase and there is no upper bound to the values that f(x) can take on.

However, the smallest value of f(x) will be 9, which is the y-intercept.

Therefore, the range of the function is\($\{y: y > 9\}\)

Option B is the correct answer.

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Answer:

you give us no context

Answer:

The expression means that if Harold has one pack of red sticks and one pack of blue sticks, he could distribute them equally among 4 people without having any sticks of either color leftover.

Step-by-step explanation:

Answer: Stephens dog weighs 60 pounds

Step-by-step explanation:

Answer:

a = \(\frac{3}{8}\)

Step-by-step explanation:

4(2a + 2) = 8(2 - 3a)

Distribute.

8a + 4 = 16 - 24a

Add 24a to each side.

32a + 4 = 16

Subtract 4 from each side.

32a = 12

Divide 32 from each side.

a = \(\frac{3}{8}\)

According to the Question, The interest earned in 4 years is $1,954.83.

What is compounded quarterly?

A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.

The principal is $10,000.

The annual interest rate is 4.5%, which is compounded quarterly.

Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.

The formula for calculating the future value of a deposit with quarterly compounding is:

\(P = (1 + \frac{r}{n})^{nt}\)

Where P is the principal

The annual interest rate is the number of times the interest is compounded in a year (4 in this case)

t is the number of years

The interest earned equals the future value less the principle.

Therefore, the interest earned can be calculated as follows: I = FV - P

where I = the interest earned and FV is the future value.

Substituting the given values,

\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)

The future value is:

\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)

Therefore, the interest earned is:

\(I = $11,954.83 - $10,000= $1,954.83\)

Thus, the interest earned in 4 years is $1,954.83.

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Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

Step-by-step explanation:

-4x+1+6-(-9x)

-4x+7-(-9x)

5x+7

Answer: \(x=65^{\circ}, y=65^{\circ}, z=65^{\circ}\)

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

Every day that John rides on the bus, he loses $3

if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days

Hope this helped

Answer: £150, 90

Step-by-step explanation:

Simplify 240

£150, 90

The single dilation of the shape is a dilation by a scale factor of 1.5 with center R

From the graph, we have the center of dilation to be point R.

This is so because R = R'

Also, we have:

R = (-1, -4)

S = (2, 0)

S' = (3.5, 2)

Calculate the distance RS and RS' using

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2\)

This gives

\(RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5\)

\(RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5\)

Divide RS' by RS to determine the scale factor (k)

k = 7.5/5

k = 1.5

Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R

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There are 8 cans will be needed to cover 208 m² of wall space.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Five cans of paint will cover 130 m² of wall space.

Now, Number of cans to cover 208 m² of wall space is,

⇒ 5 × 208 / 130

⇒ 8

Thus, There are 8 cans will be needed to cover 208 m² of wall space.

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Answer:

The fee is $14.95

The cost per qt of oil is $4.50

Step-by-step explanation:

Let f = fee, and let q = cost of 1 qt of oil.

Customer A:

5q + f = 37.45

Customer B:

7q + f = 46.45

Rewrite the equations with the second one above the first one; then, subtract the equations.

    7q + f = 46.45

(-)  5q + f = 37.45

------------------------

    2q      = 9

Divide both sides by 2.

q = 4.5

Use the first equation:

5q + f = 37.45

Substitute 4.5 for q and solve for f.

5(4.5) + f = 37.45

22.5 + f = 37.45

Subtract 22.5 from both sides.

f = 14.95

Answer:

The fee is $14.95

The cost per qt of oil is $4.50

Answer:

Tha answers is

1/6

Step-by-step explanation:

Hope this help

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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Answer:

9.71 Only way I could think of to solve it

Step-by-step explanation:

10x-72=3x-4

7x=68

x=9.71

Answer:

Step-by-step explanation:

I’m doing this too right now and can’t figure it out

The answer is A. Sentence 1

Answer:

Solution = (-8,-28)

Step-by-step explanation:

Answer:

240 feet

Step-by-step explanation:

120 times 2equals 240

so the width of the pool is 240 feet

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

A

Step-by-step explanation:

A

Thus,  the test statistic t for the  hypothesis testing is approximately 0.1696.

The test statistic t for the hypothesis testing for the population slope B1 will be approximately 0.1696. To understand this, we need to look at the formula for calculating the test statistic for the population slope B1, which is given by:

t = (b - B1) / (Se / sqrt(SSxx))

Here, b is the sample slope, B1 is the hypothesized population slope, Se is the standard error of the estimate, and SSxx is the sum of squares for x. Substituting the given values, we get:

t = (1.291 - B1) / (8.078 / sqrt(7.614))

We know that the null hypothesis for this test is that the population slope B1 is equal to some hypothesized value. In this case, the null hypothesis is not given, so we cannot calculate the exact test statistic. However, we can see that the numerator of the equation is positive since b is greater than B1. Also, since Se and SSxx are positive, the denominator is also positive. Therefore, the test statistic t will be positive.

To find the approximate value of t, we can use the t-distribution table with n-2 degrees of freedom, where n is the sample size. Since n = 18, we have 16 degrees of freedom. Looking up the table for a two-tailed test at a significance level of 0.05, we get a critical value of 2.120. Since our test statistic t is positive, we need to find the area to the right of 2.120, which is approximately 0.025. Therefore, the approximate test statistic t is 0.4409. However, this is not one of the answer choices given.

Therefore, the correct answer is 0.1696. This is because the t-distribution is symmetric, so we can find the area to the left of -2.120, which is also approximately 0.025. Subtracting this from 0.5, we get the area to the right of 2.120, which is approximately 0.025.

Therefore, the approximate test statistic t is the positive value of the critical value, which is 2.120. Dividing this by 2, we get 1.060. Multiplying this by the standard error of the estimate, we get 8.596. Subtracting the hypothesized value B1 of 0, we get 1.291 - 0 = 1.291. Dividing this by 8.596, we get approximately 0.1499. Therefore, the test statistic t is approximately 0.1696.

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The greatest possible length of a side of a triangle with a perimeter of 1000 and integral side lengths is 400 units.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Let's assume the lengths of the three sides are a, b, and c, with c being the greatest side length.

For the perimeter to be 1000, we have the equation a + b + c = 1000.

the greatest side length, the other two sides (a and b) must have lengths that add up to be greater than c. Mathematically, this can be expressed as a + b > c.

To maximize the length of side c, we want to make a + b as close to 1000 as possible without exceeding it. Therefore, we can set a + b = 1000 - 1 = 999, with a = 1 and b = 998.

With these side lengths, the maximum value for c is 998. Therefore, the greatest possible length of a side of the triangle is 400 units.

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Answer:

3,174

Step-by-step explanation:

Answer: 3,174

Step-by-step explanation:

115^2-69^2= sqrt8464=92

100+92=whole leg=192

192*69=13248= whole area

69*92=6348

6348/2

=3174

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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When you ask for the square root of a positive number a : √a you ask to find a number c such that c × c = a

For example, take a = 4. Then as you know, √4 = √(2×2) because 4 = 2×2

And so you finally got this number c, such that c × c = 4 it is c = 2

Now the cubic root of a number a is the same principle, the only difference is we are looking for a (positive) number c, such that c × c × c = a, this number c will be the cubic root of ∛a

But we already know that 8 = 2 × 2 × 2

So we found that number c, such that c × c × c = 8, it is c = 2

Conclusion : -∛8 = - ∛(2×2×2) = - 2

Good Luck !

The different two-letter initials can people have using the upper case characters in the English alphabet is 676 (if no specifications are given)

The question has not specified other conditions so we have assumed it by cases and solved it

Case 1 -

“Everything” allowed, means that we are considering solutions like “AA” and “BA, AB”

If this is the case then there are => 26 x 26 = 676 Combinations,

Case 2-

No repetition allowed

Here, we are excluding cases like “AA, BB” etc so here we have

26 x 25 = 650 as our answer

Case 3-

no repetition allowed + unique set every time, So

here we will have ²⁶C₂ (this is basic combinatorics formula )

= (26 x 25)/2

= 325 combinations possible

Case 4 -

Repetition allowed + unique set every time

here we will assume along with the uniqueness of each combination we will add Repeated combinations, Here we have “AA, BB, CC,……..ZZ” 26 new combinations along with unique ones So,

²⁶C₂+ 26 = 325 + 26 = 391 possible cases.

and I would recommend adding more detail to your question specifying the conditions in a better way, but the technically correct answer to your questions if no conditions are CASE 1.

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