Write an equation for the description. Two-thirds a number x plus 7 is 10.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Num shopping centers (X) :

630

370

616

700

430

558

1200

2976

Sales (Y) :

15.5

7.5

13.9

18.7

8.2

13.2

23.0

87.3

The regression equation obtained using the online regression calculator is :

y = 0.03025X - 4.87014

2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025

3.)

The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823

4.)

About 98%  of variation in number of sales is explained by the regression line

5.)

Correlation Coefficient = 0.9911

H0 : p ≥ 0.99

H1 : p < 0.99

The expression that represents the third angle of the triangle is (220 - 7x) degrees.

To find the third angle of a triangle when the other two angles are given, we can use the fact that the sum of the angles of a triangle is always 180 degrees.

So, if the two given angles are (3x-20) and (4x-20), we can write an equation:

(3x-20) + (4x-20) + third angle = 180

Simplifying this equation, we get:

7x - 40 + third angle = 180

Adding 40 to both sides, we get:

7x + third angle = 220

Subtracting 7x from both sides, we get:

Third angle = 220 - 7x

Hence, the third angle is (220 - 7x) degrees.

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Answer:

Yield on this bond = 4.5%

Step-by-step explanation:

Given:

Face value of bond = $10,000

Annual interest receives from bond = $450

Find:

Yield on this bond

Computation:

Yield on bond = [Annual interest / Face value]100

Yield on this bond = [Annual interest receives from bond / Face value of bond]100

Yield on this bond = [450 / 10,000]100

Yield on this bond = [0.045]100

Yield on this bond = 4.5%

9514 1404 393

Answer:

  C.  1

Step-by-step explanation:

The only rotation that maps the figure to itself is rotation by 360°. The rotational order is 1.

Answer:

At 5:10 PM, the minute hand is at the 2-minute mark, and the hour hand is between the 5 and 6 marks, closer to the 5.

The minute hand is at the 2-minute mark, which is 1/30th of the way around the clock face. So, the minute hand has traveled 1/30th of a full circle, which is 360°, or 12°.

The hour hand is between the 5 and 6 marks, closer to the 5. It has passed the 5 and is 1/6th of the way to the 6. Since the clock face is divided into 12 hours, 1/6th of the way from 5 to 6 is 5 + 1/6 = 5.166... hours.

Each hour mark represents 30 degrees, so the hour hand has traveled 5.166... × 30 = 155 degrees from the 12 o'clock position.

The smaller angle between the hands is the angle between the hour hand and the minute hand that is less than 180 degrees. We can find this angle by subtracting the smaller angle between the hands from 360 degrees.

To find the smaller angle between the hands, we can subtract the angle traveled by the hour hand from the angle traveled by the minute hand:

12° - 155° = -143°

The negative sign indicates that the angle is measured clockwise from the 12 o'clock position. To find the positive angle between the hands, we add 360 degrees:

360° - 143° = 217°

Therefore, the degree measure of the smaller angle between the hour and minute hands of the clock at 5:10 PM is approximately 217 degrees. Since this value is not one of the answer choices, we can round it to the nearest choice, which is F. 110°

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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0.9375 limes are required to make 0.75 cups servings of limeade.

Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.

Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.

⇒ 10 limes make up 8 cups

Number of limes required for 1 cup of limeade = 10/8

= 1.25 limes

Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75

= 0.9375 limes

Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.

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The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Answer:

Laplace transform of the original differential equation:

\(\left( s^2\, Y(s) - s\cdot y(0) - y^\prime(0)\right) - 4\, (s\, Y(s) - y(0)) + 5\, Y(s) = 0\).

Given that \(y(0) = 1\) and \(y^\prime(0) = 2\), solve for \(Y(s)\) to obtain:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5} = \frac{s - 2}{(s - 2)^2 + 1}\).

Apply inverse Laplace transform to obtain:

\(y(t) = e^{2 t} \, \sin(t)\).

Step-by-step explanation:

Apply these two rules to replace all \(y(t)\), \(y^\prime(t)\), and \(y^{\prime\prime}(t)\) in the original equation with their Laplace transforms:

\(\underbrace{\left( s^2\, Y(s) - s\cdot y(0) - y^\prime(0)\right)}_{\mathcal{L}\left\lbrace y^{\prime\prime}(t) \right\rbrace} - 4\, \underbrace{(s\, Y(s) - y(0))}_{\mathcal{L}\left\lbrace y^{\prime}(t) \right\rbrace} + 5\, \underbrace{Y(s)}_{\mathcal{L}\left\lbrace y(t) \right\rbrace} = 0\).

Substitute in the values \(y(0) = 1\) and \(y^\prime(0) = 2\).

\({\left( s^2\, Y(s) - s - 2 \right)} - 4\, (s\, Y(s) - 2) + 5\, Y(s) = 0\).

Solve for \(Y(s)\) after rearranging this equation:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5}\).

Note that if denominator is the left-hand side of a quadratic equation, this equation would have no real root. Hence, complete the square in the denominator:

\(\displaystyle Y(s) = \frac{s - 2}{s^2 - 4\, s + 5} = \frac{s - 2}{(s - 2)^2 + 1^2}\).

Look up a table of Laplace transforms. Apply the rule \(\displaystyle \mathcal{L}\left\lbrace e^{\lambda t}\sin(\omega\, t) \right\rbrace = \frac{s - \lambda}{(s - \lambda)^2 + \omega^2}\), where \(\lambda = 2\) and \(\omega = 1\).

\(y(t) = \mathcal{L} \left\lbrace Y(s) \right\rbrace = e^{2 t}\, \sin(t)\).

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

9514 1404 393

Answer:

  32 miles

Step-by-step explanation:

To find miles per hour, divide miles by hours.

  40 mi/(1.25 h) = 32 mi/h

At that rate, Landon traveled 32 miles in 1 hour.

Answer:

the last one

Step-by-step explanation:

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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Answer:

75,600 m/h (21 m/s, 0.02 km/h)

Step-by-step explanation:

Hey there!

The answer to your question is \(21 mps\)

To find the rate of speed, we have to find the meters per second, or mps. The formula for this is  \(\frac{distance}{time} = speed\). So:

\(\frac{63}{3} = s\)

\(21 = s\)

This means that the speed is 21 meters per second, or 21 mps.

Hope it helps and have an amazing day!

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

The relevants cost are $2,000

Step-by-step explanation:

Based on the information given in a situation where the student have to decide whether to repair the car or purchase another car the correct statement is: THE RELEVANTS COST ARE $2,000 because the cost of repairs of the Amount of $2,000 represent the RELEVANT COST.

Therefore RELEVANT COSTS are costs or expense that can be incurred due to some certain decisions and on the other hand RELEVANT COSTS which is also known as AVOIDABLE COST can be seen as the cost or expense a person or an individual can do away with depending on other alternative such person choose to pick.

Answer:

2000

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(U can do mental calculation and guess it will be 10 ..) or else ....

Constant(k) = xy

k= 5 x 20  

k= 100

Constant(k) = xy

100 = xy  

100 = 10y  

y= 100/10 = 10  

= 10

I hope im right!!

Answer:

b = r(sy/sx)

Step-by-step explanation:

The sign of the slope Coefficient and the correlation are the same because both the slope and correlation Coefficient evaluates the changes in one variable with respect to the other . A decrease in y as x increases will result in a negative slope value and also a negative correlation Coefficient. While increase in x which results in the increase in y imvariable will result in a positive correlation Coefficient value and r value.

Slope, b = correlation Coefficient,r (Sy /Sx)

Sx = standard deviation of x values

Sy = standard deviation of Y Values

Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

Answer:

3.3

Step-by-step explanation:

all the numbers add up to 33

and there is 10 numbers so divide 33 by 10 and you get 3.3

Step-by-step explanation:

I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.

Let’s take an example. You have x^2+6x+8.

First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.

Step 1:

x^2 * 8= 8x^2

Step 2:

(break the middle term)

x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)

Step 3:

(separate the common terms)

x(x+4)+2(x+4)

(x+2)(x+4)

Step-by-step explanation:

That depends on the tension on the tape.

As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
\(x = 4 \\Therefore,\\c(4) = 30\)

3) Find the cost of a ten-line ad
\(x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60\)

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)