Solar panels installed in a backyard have a cross section that is a right triangle. The diagram shows the approximate dimensionsof this cross section. A vertical support from the right angle to the ground is recommended. Approximate the length of thesupport to the nearest tenth of a foot.13.6ft4.4ft14.3ft

Answer:

12. x = 48

13. x = 7

Step-by-step explanation:

x/6 = 8

x = 8*6

x = 48

28 = 4x

28/4 = x

x = 7

Answer:

12) x/6 = 8

13) 28 = 4x

Answer:

1:2

Step-by-step explanation:

For every black star there is 2 white stars.

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

i believe your answer would be 5 and 3, FD

Step-by-step explanation:

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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Answer:

Step-by-step explanation:

If we are to ASSUME that the originally 10 cm long candle was completely consumed in 5 seconds.

Then

10 cm / 5 s = 2 cm/s

Which is much closer to a firecracker fuse burn rate than that of a candle.

Answer:

y = -5x + 12

Step-by-step explanation:

First remember the equation y = mx + b

We have values for x, y, and m so all we need to do is solve for b.

2 = -5 (2) + b

2 = -10 + b

12 = b

Then plug that value back in and keep the variables for x and y

y = -5x + 12

Answer:

1234567 -1-2-3-4-5-6-7

Step-by-step explanation:

the line is in there ithink its help

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Step-by-step explanation:

Let’s see … one division every 20 minutes? That would be like <grinding noise> three binary doublings per hour, right? Now for the tough part … three doublings per hour, for eight straight hours? <more grinding noises> … Is that even mathematically possible? After much thinking, I decide that the total number of binary doublings has to be in the neighborhood of no less than eight times three!

Would you believe that 224=16777216 ? While mathematically true, it is not the answer to the posted question… Since we started at 0 minutes, there are only 23 buddings inside eight hours … so the answer has to be 223=8388608 , right?

Wrong again, this time forgetting all about the newlybud bacteria generations, that all go on budding side by side of their ancestors …

Now that you’ve caught on to the basic idea, I leave it to you to figure out the real answer! Keep in mind that after 20 minutes, you have two budding bacteria to reckon with, for 440 minutes … after 40 minutes another two (for 420 minutes), and so on, down the line.

Hint: the answer still is not 16777216 …

Answer:

after 1 division,there is 3 cell

after 2 divisions,there is 9 cell.

after 3 divisions,there is 27 cell

The above data takes the form of Geometric sequence.

3,9,27......,last term

here,Common ratio(r)=9/3=27/9=3

and,first term(a)=3

Let, n be the no.of divisions.

then, n=8 hrs/20 min=480 min/20min=24

Now,from the G.S,

last term=ar^n-1

=3×3^24-1

=9²³

Hence,9²³ organisms will there be after 8 hours

It can be written as 8.86293812×10²¹ as well

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Answer:

the product of 2a+3b-c and2a+3b-c is(2a+3b-c)²

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

As x approaches positive infinity, f(x) approaches negative infinity. So the correct answer is option D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When we draw the graph of the function \(f(x) = -2\sqrt[3]{x+7}\) we will see that the x approaches positive infinity, f(x) approaches negative infinity.

Therefore As x approaches positive infinity, f(x) approaches negative infinity. So the correct answer is option D.

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Answer: 4.6

Step-by-step explanation: let the missing length be x

2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6

28+x=32.6

x=32.6-28

x=4.6

Here's the Answer :

(since, 14.3 is equivalent to 14.300)

Answer:

16 bouquets each containing 3 roses, 3 irises and 1 freesias.

Step-by-step explanation:

If each bouquet needs at least 1 of each then she will be able to make, at most, 16 boquets with 1 freesias each because it is is the flower she has the least of. Now you will divide the other flowers across the 16 bouquets ignoring remainders. In the end there will be 8 roses left over.

Answer:

D' (1,4)

Step-by-step explanation:

D(4,1)  When reflecting over y = x, switch the x and y values.

The ratio of the weight of the quarters to the number of quarters will be 11: 2

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

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The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

40 pints are in 5 gal

Step-by-step explanation:

Your bag-in-box holds 5 gallons of syrup.

There are 128 ounces in 1 gallon. So, there are 640 ounces in 5 gallons.

Your soda fountain system will mix water and syrup at a 5 to 1 ratio.

Divide cup size by 6 for the number of ounces of syrup used per cup.

     Example for 10 oz. cup: 10 ÷ 6 = approximately 1.7

     There are approximately 1.7 oz. of syrup used per each 10 oz. cup

Divide oz. of syrup used per cup by 640 total oz.

     Example: 640 ÷ 1.7 = approximately 376

This is the estimated number of servings per 5-gallon bag in box (*excluding ice)A 5-gallon Bag-in-Box syrup will yield approximately 30 gallons of soda.

Follow the handy chart below to determine how many servings you'll get out of a 5-gallon bag in box soda syrups based on the size of the cups you use in your establishment.

Cup Size Total Oz. Of Syrup Used Total Number Of Servings Per Each 5 Gallon Bag In Box**

7 oz. 1.1 582

9 oz. 1.5 426

10 oz. 1.7 376

12 oz. 2 320

16 oz. 2.7 237

20 oz. 3.3 194

24 oz. 4 160

32 oz. 5.3 120

Bag in-box soda connects directly to your soda fountain lines to dispense carbonated beverages. It can easily be swapped out with a fresh box to refresh your soda supply, or to add a new flavor. They work by using CO2 to push syrup out of the bag to mix with water, which is also mixed with CO2 to produce soda water. This mixture of carbonated water and syrup is then pushed through the dispenser into a cup, at which point it is ready for customers to enjoy. Bag in box systems portion out and mix ingredients, making it an easy system for employees to rely on.

How Often Should Soda Lines be Cleaned?

Keeping your soda machine clean is an essential step in serving delicious, uncontaminated soda. Some parts of your machine, such as nozzles and dispensing valves, should be cleaned daily, but cleaning other parts can be done less frequently. Syrup connectors should be disconnected and sanitized weekly, and syrup lines should be cleaned weekly or monthly.

To clean syrup lines, fill a sanitized bucket with a  warm cleaning solution, and remove the syrup lines from your BIB syrups. Place the opened line valve in your cleaning solution, and activate the dispenser to flush the lines with the cleaning solution. Repeat this process multiple times, then finish the process with a rinsing flush.

Answer:

\(Total\ Rotation = 225^{\circ}\)

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

\(\theta = 360^{\circ}\)

An octagonal nut has 8 sides. So, each rotation is:

\(Each\ Rotation=\frac{360^{\circ}}{8}\)

\(Each\ Rotation=45^{\circ}\)

From position 8 to 5, there are 5 movements.

So, the total rotation is:

\(Total\ Rotation = Each\ Rotation * Moves\)

\(Total\ Rotation = 45^{\circ} * 5\)

\(Total\ Rotation = 225^{\circ}\)

Answer:

\(\frac{2}{5}\) is the slope

Step-by-step explanation:

m=\(\frac{y}{x}\)

m=\(\frac{y2-y1}{x2-x1}\)

Points: (-4,-1) (1,1)

m=\(\frac{(1)-(-1)}{(1)-(-4)}\)=\(\frac{2}{5}\)

Two up and 5 to the right.

Hope it helps!!!!

a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

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Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

Step-by-step explanation:

go pathways gives all the answers