Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?

Answer:

5/2

Step-by-step explanation:

We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:

y = mx + 5.

We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:

y = -2x + 5.

The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:

0 = -2x + 5

-5 = -2x

x = 5/2

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

Answer:

Step-by-step explanation:

unknown base side = √7²+7²= √98=7√2

SA = (2×½×7×7)+ (7+7+7√2)(10)

= 49 + 140 + 70√2

= (189 + 70√2) ft²

or

= 287.99 ft²

Answer:

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Explanation:

tan = opposite/adjacent

tan A = BC/AC

tan A = 5/√75

tan A = 5/√(25×3)

tan A = 5/5√3

tan A = 1/√3

tan A = 1/√3 × √3/√3 (rationalizing the denominator)

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Answer:

V= πr^2h

Step-by-step explanation:

Given data

Note: Incomplete question

No picture/ detailed information of the cylinder was given

The dimension of a cylinder is given as

radius= r

Height = h

Although, we know that the expression for the volume of a cylinder is given as

V= πr^2h

Hence, you plug in the values of r and h into the expression above to get the volume of a cylinder

Answer: $826.8

Step-by-step explanation:

First, we add the amount of money that the machines sold for:

$420 + $360 = $780

Next, we multiply it by the sales tax, 6%,

$780 x 6%(0.06) = $46.80

Finally, we add this to the total:

$780 + $46.80 = $826.80

Alternatively, you can add the total sales and multiply by 106% using the 2-step method.

Answer:

In Texas the state sales

tax rate is 6%. Beth

purchases a washing

machine at $420.00

and a dryer for

$360.00

How much will Beth's total be

including state sales tax

Answer:

C. 159.0 square inches

Step-by-step explanation:

Given that

Ted ate 3 pieces of the pizza

We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches

Since the large circular pizza is divided into 8 equal slices

Now the radius of a pizza is

= 18 ÷ 2

= 9 inches

Now the angle subtended by each pizza is

= 360 degrees ÷ 9 inches

= 45 degrees

Now the area of the each pizza is

= [tex]\theta[/tex] ÷ 360 × πr^2

= 45 ÷ 360 × 3.14 × 9^2

= 31.7925

Now the area of the remaining pizza is

= 5 × 31.7925

= 158.9625

= 159 square inches

Answer:

[tex]6.3m/s[/tex]

Step-by-step explanation:

Note: We will take g as 9.8 in this question.

The two equations we will use for this questions are:

[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity

and the SUVAT equation: [tex]v^2=u^2+2as[/tex]

First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.

Subbing the values we have:

[tex]50 = 2.5*9.8*h[/tex]

[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.

Now we will use the SUVAT equation. Let's set out the variables we have:

[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]

U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.

Now let's put them into one of the SUVAT equations:

[tex]v^2=u^2+2as[/tex]

[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]

[tex]v^2=39.984[/tex]

[tex]v=6.3 m/s[/tex]

Answer:

15 metres

Step-by-step explanation:

perimeter of rectangle = 2(base + height)

=2(8+h) = 46

= 16 + 2h = 46

= 2h = 46 - 16

= 2h = 30

= h = 15

15 metres is the height of rectangle

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers  

No, the Normal/large sample condition is not met.

Option C is the correct answer.

A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.

It is used when the sample size is small or the population standard deviation is unknown.

We have,

The conditions for inference in a t-test are:

Random condition:

The sample should be selected randomly from the population to ensure that the sample is representative of the population.

Normal/large sample condition:

The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.

Independence condition:

The observations in the sample should be independent of each other.

In this case,

The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.

Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.

Thus,

No, the Normal/large sample condition is not met.

Learn more about t-test here:

https://brainly.com/question/15870238

#SPJ3

Answer:

x=58

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

The secant- secant angle x is half the difference of the intercepted arcs

The 4 arcs in the circle sum to 360° then

PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then

x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35

Answer:

61

Step-by-step explanation:

and let c looks to be a right angle

Answer:

61° hope this helps

Answer:

I am going with zero yards.

Step-by-step explanation:

If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards

did he mow during the rest of the week?

If he mowed 14x² + 12x – 3 yards for the entire 7 days of the week.  He would not have anymore days to left in the week to mow, so he mowed ZERO more yards

Answer:

35

Step-by-step explanation:

Answer:

-1

(i got the answer from a calculator, hope it helps)

*this is assuming I read her handwriting correctly

First, put the values in order from least to greatest.

2, 18, 3, 2, 9, 17, 41, 22, 25, 27, 17, 5, 4 becomes

2, 2, 3, 4, 5, 9, 17, 17, 18, 22, 25, 27, 41

The mean is the sum of all the values divided by the number of values.

2 + 2 + 3 + 4 + 5 + 9 + 17 + 17 + 18 + 22 + 25 + 27 + 41 = 192. 192/13 = 14.7692308, which rounds to 14.8

The median is the number in the middle, which is 17.

The mode is 2 AND 17, because those are the numbers that appear most often.

Range is the maximum value minus the minimum value. 41 - 2 = 39 so that is the range.

Upper quartile is the median of all the numbers to the right of 17. Median of 17, 18, 22, 25, 27, 41 is 23.5 because it is the mean of the 2 numbers in the middle.

Lower quartile is the median of all the numbers to the left of 17. Median of 2, 2, 2, 3, 4, 5, 9 is 3.5 because it is the mean of the 2 numbers in the middle.

Answer:

the answer is -3, please don't click or put the link from the other answer in your browser

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

Answer:

no yes no

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

there are 10 possible digits, 0, 1, 2, ... 9

only 5 are under five, which are 0, 1, 2, 3, and 4.

so it's 5/10, or 1/2

Answer:

Step-by-step explanation:

423

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

Step-by-step explanation:

the total angles in the triangle are 180°

so,

63° + 57° + ∠2 = 180°

120° + ∠2 = 180°

∠2 = 180° - 120°

∠2 = 60°