Find the sum. Enter your answer in lowest terms in the box below as a
fraction, using the slash mark ( 7 ) for the fraction bar.
7/20
3/9
Answer here​

Answer:

f(x) = sin(x)+4

Answer:

69 weeks

Step-by-step explanation:

Let the number of weeks be x.

The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:

621 - 4x

The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:

828 - 7x

After a certain amount of weeks, the amount of water in both tanks is the same. That means that:

621 - 4x = 828 - 7x

=> 7x - 4x = 828 - 621

3x = 207

x = 207 / 3 = 69

This means that the amount of water in the tank will be the same after 69 weeks.

Answer:

[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]  

And rounded up we have that n=31

Step-by-step explanation:

First we need to find the critical value for the margin of error desired. The confidence level is 0.95 so then the significance is [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:

[tex] z_{\alpha/2} =\pm 1.96[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.09[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

The estimated proportion for this case is [tex]\hat p =0.93[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]  

And rounded up we have that n=31

Final answer:

To simplify the expression −5x + 8y + 2x − 3y, combine like terms, resulting in −3x + 5y.

Explanation:

To simplify the expression −5x + 8y + 2x − 3y, you want to combine like terms. The like terms are those with the same variable raised to the same power. In this expression, −5x and 2x are like terms, as are 8y and −3y.

Combine −5x and 2x: (−5 + 2)x = −3x

Combine 8y and −3y: (8 − 3)y = 5y

After combining like terms, the simplified expression is −3x + 5y.

We have been an image of a triangular pyramid. We are asked to find the volume of the given pyramid.

We know that volume of triangular pyramid is [tex]\frac{1}{3}b\cdot h[/tex], where,

b = Base area,

h = Height of pyramid.

We can see that base of pyramid a right triangle.

[tex]\text{Area of triangle}=\frac{1}{2}\times\text{Base}\times\text{Height}[/tex]

Now we will find height of base triangle using Pythagoras theorem.

[tex]h^2=30^2-24^2[/tex]

[tex]h^2=900-576[/tex]

[tex]h^2=324[/tex]

[tex]\sqrt{h^2}=\sqrt{324}[/tex]

[tex]h=18[/tex]

[tex]\text{Area of base triangle}=\frac{1}{2}\times24\times 18[/tex]

[tex]\text{Area of base triangle}=12\times 18[/tex]

[tex]\text{Area of base triangle}=216[/tex]

[tex]\text{Volume of triangular prism}=\frac{1}{3}b\cdot h[/tex]

[tex]\text{Volume of triangular prism}=\frac{1}{3}\cdot 216\cdot 30[/tex]

[tex]\text{Volume of triangular prism}=216\cdot 10[/tex]

[tex]\text{Volume of triangular prism}=2160[/tex]

Therefore, the volume of the given prism is [tex]2160\text{ m}^3[/tex] and option B is the correct choice.

Answer:

its B    

Step-by-step explanation:

Answer:

0 dollars

Step-by-step explanation:

Answer:

Please include the diagram

Step-by-step explanation:

Answer:

The answer is  24/25

Step-by-step explanation:

Sin (angle) = Opposite leg / Adjacent Leg

Sin (angle) = Y / r

Sin (angle) = 24/25 / 1 = 24/25

The answer is  24/25

Hope this helps

Answer:

2b -a

a-2c

Step-by-step explanation:

a = b+c

We want to find b-c

Solve the first equation for b

b = a-c

and for c

c = a-b

b-c in terms of b and a  

using c = a-b

b - (a-b)

Distribute the minus sign

b - a +b

Combine like terms

2b -a

b-c in terms of c and a  

using b = a-c

(a-c) -c

a-c -c

Combine like terms

a-2c

Answer:

16 years old

Step-by-step explanation:

got it right on edge 2020.

Please mark as Brainliest

Please say thank you.

Answer:

37.7cm

Step-by-step explanation:

Answer:[tex]12\pi[/tex]

[tex]12\pi[/tex]

Step-by-step explanation:

The formula is: [tex]C= 2\pi r[/tex]

Diameter is the same has 2r, r being the radius.

To help remember: Cherry Pies ([tex]\pi[/tex]) Are (r) Too.

Answer:

Volume of the pipe = 423.9cm³

Step-by-step explanation:

Width = 6cm = diameter

Radius (r) = d / 2 = 6 / 2 = 3cm

Height = 15cm

Volume = ?

π = 3.14

Assuming the shape of the pipe is that of a cylinder, then we can easily find its volume just by calculating the volume of the cylinder.

Volume of a cylinder = πr²h

π = 3.14

r = radius of the cylinder

h = height of the cylinder

Volume = 3.14 × 3² × 15

Volume = 3.14 × 9 × 15

Volume = 423.9cm³

The volume of the pipe is 423.9cm³

The volume of the given pipe is [tex]424.12\ cm^3[/tex].

To calculate the volume of the pipe, assume the pipe is cylindrical and use the formula for the volume of a cylinder. The formula is given by:

[tex]V = Area\ of\ cross\ section \times height[/tex]

Since the pipe is cylindrical, the cross section is a circle. Therefore:

[tex]Area\ of\ cross\ section = \pi r^2[/tex]

where r = radius of cross section

Given width = 6 cm = diameter of the cross section = 2r

[tex]2r = 6\ cm \implies r = \frac{6}{2}\ cm = 3\ cm[/tex]

Therefore:

[tex]Area\ of\ cross\ section=A = \pi r^2 = \pi (3)^2 = 9\pi\ cm^2[/tex]

Assuming the 'height' mentioned is the length through which fluid is flowing, and given the cross-sectional area, the volume formula simplifies to:

[tex]V = A\times h[/tex]

Given height (length of cylinder) = 15 cm:

[tex]V = 9\pi \times 15\ cm^3 = 135\pi \ cm^3 \approx 424.12\ cm^3[/tex]

So, the volume of the pipe, assuming it as cylindrical, is [tex]424.12\ cm^3[/tex].

Answer: 6.4 In decimal form.  32/5 in fraction form.

Step-by-step explanation:

So first times 8 by 12 which is 96

then, 3 times 5 which is 15

Simplify to 32/5

Answer: 32/5

Step-by-step explanation: When multiplying two fractions together, remember that we can cross-cancel.

In this problem the 12 and 3 reduce to 4 and 1.

So we have 8/1 · 4/5.

Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 32/5.

Answer:

3x+2y=34

Step-by-step explanation:

L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

L2 perpendicular to L1 => m2= -1/m1=  -3/2

the point A(8,5) ∈ L2

=> y–yA=m2(x–xA)

L2: y-5=-3/2 *(x-8)

L2: 2y-10=-3x+24

L2: 3x+2y=34

Answer:

It's geometric

Step-by-step explanation:

You multiply each term by "-3," so the common ratio is -3, making the sequence geometric.

Answer:

Example Quadrant 3 coordinate value (-2, -2)

Step-by-step explanation:

Coordinates are written (x, y)

Quadrant 1: both x and y are positive values. Example (2, 2)

Quadrant 2: x is negative and y is positive. Example (-2, 2)

Quadrant 3: both x and y are negative values. Example (-2, -2)

Quadrant 4: x is positive and y is negative. Example (2, -2)

Answer:

the answer is c because i answered it on a test and got it right

Step-by-step explanation:

Answer:

B is the answer to this question due to the angle being a 90 degree angle

Answer:

90 squared is 8,100, and 120 squared is 14,400. So to figure out what c is you do 90^2 + 120^2 = Square Root of 22,500 which is 150.

So c = 150

Step-by-step explanation:

So C=150

hope this helps :D

By using the Pythagorean theorem, we will see that side C measures 150ft.

We can see that side C is the hypotenuse of a right triangle. We know both catheti of said triangle, then we can use the Pythagorean theorem.

It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we have:

A^2 + B^2  = C^2

We know that:

A = 90ft

B = 120ft

Replacing that we get:

√((90ft)^2 + (120ft)^2) = C = 150ft

Then we conclude that side C measures 150ft.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

AMY, BMY, BMX

Step-by-step explanation:

its right

Answer:

the second , the second and the first . ( B,B,A)

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13^2 is really just 13 times 13 which equals 169

Answer:

m = 40.5

Step-by-step explanation:

21/8.1 = 105/m

Croos multiplying the fractions, we get

21m = 850.5

m = 850.5/21

m = 40.5

hope it helps!

To solve the proportion 21/8.1 = 105/m, cross-multiply to get 21m = 850.5. Then, divide both sides by 21 to find m = 40.5.

To solve the equation 21/8.1 = 105/m, you can use cross-multiplication. By setting up the proportions correctly, you ensure that meters, being the only unit involved, is properly handled in the calculations.

First, cross-multiply to get 21 * m = 105 * 8.1. This simplifies to 21m = 850.5. Next, divide both sides of the equation by 21 to isolate m on one side, leaving you with m = 850.5 / 21. Upon dividing, you get m = 40.5.

It's important to remember that when dealing with ratios or proportions, canceling equivalent terms in the numerator and denominator simplifies the problem, making it easier to solve. Moreover, understanding how to deal with powers of 10 is essential, such as knowing that for 105/103 = 105-3 = 102 is helpful in many mathematical problems.

Answer:

perfect negative correlation

Step-by-step explanation:

correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.

What will be the change : it suggest whether change in value of one variable other will be increase or decrease .

If there is increase in one variable and other also increases it suggest there is positive correlation .

If there is decrease in one variable and other also decrease it suggest there is positive correlation .

how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.

If the value of correlation coefficient is high it means that  change in value   for one variable is high in to  response change in other variable .

It values ranges from -1 to +1 high

while sign depicts type of relation that is positive or negative .

value from - 1 to + 1 depicts strength of the relation .

with - 1 depicting  perfect negative correlation

+1   depicting perfect positive correlation.

In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.

Answer:

6% sales tax

Step-by-step explanation:

48 / 800 = x / 100

What did you do to turn 800 into 100? Divide by 8.

Since we divided the denominator by 8, we also divide the numerator by 8.

48 / 8 = 6

6% sales tax

Final answer:

The percent of the sales tax on an $800 laptop computer with a $48 sales tax is 6%. This is found by dividing the sales tax by the cost of the computer and then multiplying by 100.

Explanation:

To calculate the percent of the sales tax for the laptop computer, you need to follow these steps:

Convert the sales tax amount to a decimal by dividing the sales tax by the cost of the item before tax.

For example: $48 (sales tax) ÷ $800 (cost of the laptop) = 0.06.

Then, convert the decimal to a percentage by multiplying it by 100.

Continuing the example: 0.06 × 100 = 6%.

Therefore, the sales tax rate for the laptop computer is 6%.

Answer:

-5 < - 4 is correct

Step-by-step explanation:

I5I > 7 is wrong because I5I < 7

7 < I7I is wrong .  7 = I7I

I-3I > I-4I  is wrong because absolute value is always positive.

So I-3I < I-4I

Answer:

5<-4

Step-by-step explanation:

Answer:

a³ - 5a² + 4a + 5

Step-by-step explanation:

To solve this, remove the parentheses.  If you were subtracting the two phrases, you would distribute the negative sign to the second phrase, but you are adding so you will not have to do this

4a - a³ - 3 + 2a³ - 5a² + 8

a³ - 5a² + 4a + 5

Answer:

D) $0.15

Step-by-step explanation:

If you do 0.15 times 40 messages, you get $6

Answer:

Your answer is A!

Step-by-step explanation:

Have a great day!

The measure of ∠ABC  is 85 degrees from intersecting chords theorem.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the measure of ∠ABC.

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.

∠ABC  = 1/2 (130+40)

∠ABC  = 1/2(170)

Divide 170 by 2

∠ABC  = 85 degrees.

Hence, the measure of ∠ABC  is 85 degrees from intersecting chords theorem.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Answer:

B.) 0.00149, 0.0104, 0.0108, 0.0118, 0.013

Step-by-step explanation:

The more decimal places, the lower the number.