A ship traveling east at 45 mph is 15 mi from a harbor when another ship leaves the harbor traveling east at 60 mph. How long does it take the second ship to catch up to the first ship?

Answer:

23, 21, 19, 17

Step-by-step explanation:

f(3)=29-2(3)=29-6=23

f(4)=29-2(4)=29-8=21

f(5)=29-2(5)=29-10=19

f(6)=29-2(6)=29-12=17

Answer:

I think the answer is 5

Hopefully it works :)

Step-by-step explanation:

Answer:

9:45

Step-by-step explanation:

Tell me if you need an explanation

Answer: 2/5 pounds

Step-by-step explanation:

Answer:

  5.925 pints

Step-by-step explanation:

The rest of the paint is 1 -1/4 = 3/4 of the total amount:

  (3/4)(7.9 pt) = 5.925 pt

Sharon used 5.925 pints of blue paint to paint her bedroom walls.

Answer:

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units.

Step-by-step explanation:

The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"

A real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?

In this case, the length of the garden will be the square root of 144. This will be calculated thus:

x² = 144

x = ✓144

x = 12

Therefore, the length of the garden is 12 feet.

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When creating a confidence interval, higher confidence corresponds to a   larger   interval, and lower confidence corresponds to a   smaller   interval.

==============================================

Explanation:

Imagine you are going fishing for an elusive sea creature of some kind. Casting a very wide net means we are more confident in catching the creature, in comparison to using a smaller net.

The fishing net is analogous to the width of the confidence interval. The wider the confidence interval, the more confident that we're capturing the parameter we're trying to measure.

Answer:

1.) larger 2.) smaller

(props to the other answers)

Step-by-step explanation:

Answer:

1. gcf: 6 lcm: 660

2. gcf: 2 lcm: 308

3. gcf: 7 lcm: 56

4. gcf: 2 lcm: 220

5. gcf: 1 lcm: 52

Step-by-step explanation:

Hope this helps :)

Answer:

3

Step-by-step explanation:

Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.

To mix 3 gallons of pink paint we must take into account the following information:

To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.

Red paint:

White paint:

Based on the above, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.

Note: This question is incomplete because the graph is missing. Here is the graph.

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Answer:

your friend asks for RS 3 every three months, so in 9 months, you have to pay 9 RS extra so the amount you must play after 9 months is 309. the annual rate of interest will be basically the money you will have to give her after 12 month period which will be 12 rs. the annual rate of interest is 12pcpa

This problem cannot satisfy the triangle inequality. The triangle cannot be constructed and therefore solved.  

a = 35

b = 2

c = 6

b+c ≤ a

2 + 6 ≤ 35

41 ≤ 35

The sum of the lengths of sides b, c must be greater than the length of the remaining side a.

Answer:

[tex]a=1.749[/tex]

Step-by-step explanation:

Recall Law of Sines

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Solve for angle B

[tex]A^\circ+B^\circ+C^\circ=180^\circ\\35^\circ+B^\circ+6^\circ=180^\circ\\41^\circ+B^\circ=180^\circ\\B^\circ=139^\circ[/tex]

Determine side "a" given angle B and side "b"

[tex]\frac{sin(35)^\circ}{a}=\frac{sin(139^\circ)}{2}\\ asin(139^\circ)=2sin(35^\circ)\\a=\frac{2sin(35^\circ)}{sin(139^\circ)}\\ a\approx1.749[/tex]

An isosceles trapezoid have two congruent slant sides.

The three correct statements are:

The isosceles trapezoid is given as: ABCD

From the diagram. the slant sides are AD and BC.

This means that:

Lengths AD and BC are congruent

Similarly, the angles at A and B, and the angles at D and C are congruent

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Answer:

C

Step-by-step explanation:

Attached Picture.......

The revenue function is the sum of the cost and profit functions

The total amount of revenue on Sunday is $59.17

The function for the number of roses is given as:

[tex]N(d) = 6d + 25[/tex]

The price per rose is given as:

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

On Sunday, the value of d is 6.

So, we start by calculating N(6) and P(6)

[tex]N(d) = 6d + 25[/tex]

[tex]N(6)= 6 * 6 + 25[/tex]

[tex]N(6)= 61[/tex]

[tex]P(d) = 0.02d^2 - 0.04d + 0.49[/tex]

[tex]P(6) = 0.02 * 6^2 - 0.04 * 6 + 0.49[/tex]

[tex]P(6) = 0.97[/tex]

The total amount of revenue is then calculated as:

[tex]R(d) = N(d) * P(d)[/tex]

Substitute 6 for d

[tex]R(6) = N(6) * P(6)[/tex]

So, we have:

[tex]R(6) = 61 * 0.97[/tex]

[tex]R(6) = 59.17[/tex]

Hence, the total amount of revenue is $59.17

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Answer:

The measure of the reference angle = 30°

Step-by-step explanation:

Convert 11[tex]\pi[/tex]/6 (radians) to degrees by multiplying by 180 and dividing by [tex]\pi[/tex]:

11[tex]\pi[/tex]/6 (radians) = 330[tex]\pi[/tex]/[tex]\pi[/tex] = 330°

Therefore, reference angle = 360 - 330 = 30°

First convert to degree from radian .

[tex]\\ \tt\hookrightarrow \dfrac{11\pi}{6}\times \dfrac{180}{\pi}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{1980}{6}=330°[/tex]

Find reference angle=360-330=30°

Last option is correct

Answer:31/20

Step-by-step explanation:Sorry your answer is late

Divide total price by total quantity:

15.60 / 19.5 = 0.80

Unit price = $0.80 per centimeter

Answer:

$58.85

Step-by-step explanation:

Take 7% out of 55 and add it to the total.

[tex]\huge\bf{ANSWER:}[/tex]

[tex]\huge\mathrm{No\:solution.}\checkmark[/tex]

[tex]\huge\bf{SOLUTION}:[/tex]

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the [tex]\bf{\underline{opposite\:\:operation\:}[/tex]:

[tex]\longmapsto[/tex][tex]\sf{x-1\geq 4+x[/tex]

[tex]\longmapsto\sf{x\geq 4+x+1[/tex]

[tex]\longmapsto\sf{x\geq x+5[/tex]

Now, let's move the variables to the left:

[tex]\longmapsto\sf{x-x\geq 5[/tex]

[tex]\longmapsto\sf{0\geq 5[/tex]

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality  has

[tex]\bold{No\:solutions.}[/tex]

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

The values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].

Given information:

The quadratic equation is [tex]x^2+8x+11=0[/tex].

It is required to factorize the given quadratic equation using completing the square method.

Use completing the square method to solve the equation as,

[tex]x^2+8x+11=0\\(x)^2+2(x)(4)+4^2-4^2+11=0\\( (x)^2+2(x)(4)+4^2)-4^2+11=0\\(x+4)^2-16+11=0\\(x+4)^2=5\\(x+4)=\pm \sqrt{5} \\x=-4 \pm \sqrt{5}[/tex]

Therefore, the values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].

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Answer:

41 and 205

Step-by-step explanation:

Since the smaller number is 1/5 the larger number, the distance between the numbers is 4/5 of the larger number because (5/5 - 1/5 = 4/5).

You are given the difference, so first find the smaller number by dividing by 4:

164 = (4/5)(larger number)

164 = 4(smaller number)

41 = smaller number

Now, just multiply by 5, since 41 is 1/5 of the larger number:

41 * 5 = 205 = larger number

Optionally, check the answer by testing the difference:

205 - 41 = 164

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-10 +17}{-2 +3}[/tex]

Simplify

[tex]m = \frac{7}{1}[/tex]

[tex]m = 7[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 7(x +2) -10[/tex]

Open the brackets

[tex]y = 7x +14 -10[/tex]

[tex]y = 7x +4[/tex]

Hence, the linear equation that represents the table is (a) y = 7x +4

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Answer:

3^3

The answer is a.3^3

The scale factor k for the sphere's volume in order to arrive at the volume of the new sphere is 3^3, the correct option is A

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

Radius is multiplied by 3

In order to arrive at the volume of new sphere the factor must be greater or equal to 3

So,

Scale factor=x*k

=3^3

Therefore, the scale factor k will be 3^3

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