If 10 50-74 is written as an integer in base decimal notation, what is the sum of the digits in that integer?

Answer:

The correct answer is that the area of the regular octagon is 309 cm²

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)

Answer:

  40 mph

Step-by-step explanation:

3 times the speed in mph will be ...

  3 × 20 = 60 . . . . . more than 43

  3 × 40 = 120 . . . . less than 126

The stopping distance in feet is more than 3 times the speed in mph for a speed of 40 mph.

_____

The answer will depend on the units of the ratio. Here, we are apparently to use units of feet per (mile per hour), that is, (ft·h/mi). The answer would be different for distance in meters and speed in km/h, for example.

Answer:

-0.5

Step-by-step explanation:

The correlation coefficient represents the relationship between two variables and here two variables are anxiety symptoms and life satisfaction. As it is mentioned in the statement that less anxiety symptoms are present in the individuals who have higher life satisfaction, so there is negative/ inverse relationship between anxiety symptoms and life satisfaction. Just to be clear the inverse relationship means that increase in one variable lead to decrease in second variable and vice versa. Also according to rule of thumb 0.5 represents the moderation correlation because correlation coefficient ranges from -1 to +1 and 0.5 is a middle value. So the correlation coefficient in the given scenario is -0.5.

Using a ruler/straight edge to draw a vertical line for any values of x.If the curve is cut more than once, the graph is not for a function.

Step-by-step explanation:

Use a ruler to draw a line parallel to the y-axis for the taken values of x.When the vertical line is drawn, observe how the line intersect the graph. If the line intersects the graph more than once for nay value of x then that is not a graph of a function.

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Keywords: vertical line test, function, graph

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Answer:

Length of the lake is 97.30 m

Step-by-step explanation:

We have given Caleb starts at one end of the lake and walk 95 m

So [tex]d_1=95m[/tex]

And then he turns at an angle of 60°

So [tex]\Theta =60^{\circ}[/tex] and then again walk 8 m

So [tex]d_2=8m[/tex]

We have to fond the total length of the lake , that is d

Total length of the lake is given by [tex]d=\sqrt{d_1^2+d_2^2+2d_1d_2cos\Theta }=\sqrt{95^2+8^2+2\times 95\times 8\times cos60^{\circ}}=97.30m[/tex]

So length of the lake is 97.30 m

Final answer:

Using the Law of Cosines with Caleb's path measurements of 95 meters and 103 meters at a 60-degree angle, the length of the lake is found to be approximately 104 meters.

Explanation:

To estimate the length of the lake, we can represent Caleb's path as a triangle, where the length of the lake forms one side of the triangle. Caleb starts by walking 95 meters along one side, then makes a 60° angle and walks 8 meters more than the length of the first path, forming the second side of the triangle. The length of the lake, which is the final side, can be calculated using the Law of Cosines.

The Law of Cosines is given by c² = a² + b² - 2ab×cos(γ), where γ is the enclosed angle and a, b, and c are the lengths of the sides of the triangle.

In this case, a = 95m, b = 95m + 8m = 103m, and γ = 60°. Plugging these values into the Law of Cosines, we will find the length of the lake (c).

c² = 95² + 103² - 2×95×103×cos(60°)

c² = 9025 + 10609 - 19570×0.5

c² = 9025 + 10609 - 9785

c² = 10849

c ≈ √10849

c ≈ 104.16 meters

Therefore, the length of the lake is approximately 104 meters long.

Answer:

C. 54π + 20.25√3 cm²

Step-by-step explanation:

The shaded area can be split into two areas: a sector and an isosceles triangle.

Area of a sector is:

A = (θ/360°) πr²

where θ is the central angle and r is the radius.

Area of an isosceles triangle can be found with SAS formula:

A = ½ ab sin θ

where a and b are two sides of a triangle and θ is the angle between them.

In this case, r = a = b = 9 cm.  The central angle of the sector is 240°, and the vertex angle of the triangle is 120°.  Therefore, the total area is:

A = (240°/360°) π (9 cm)² + ½ (9 cm) (9 cm) sin 120°

A = 54π + 20.25√3 cm²

I can't see the photo ....

Answer:

Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .

Step-by-step explanation:

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .

Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.

Simple interest is calculated  on the principal amount of a loan and it's easier to find out than compound interest.

Answer:

128

Step-by-step explanation:

I assume there's a negative sign missing, since the image is a downwards parabola.

f(x) = -x²/256 + 16

The width of the beam is the distance between the x-intercepts.

0 = -x²/256 + 16

x²/256 = 16

x² = 4096

x = ±64

So the width is:

64 − (-64) = 128

Answer:

[tex]\displaystyle \frac{12}{13} = sin\:θ\:[0,3743340836π ≈ θ][/tex]

Step-by-step explanation:

Remember this?!

Extended Information on Trigonometric Ratios

[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]

I am joyous to assist you anytime.

Answer:

Brayden Solved 5 math problem and read 10 pages.

Step-by-step explanation:

Let the number of Math Problem solved be x.

Also Let the Number of Pages he read be y.

Given:

The number of pages Brayden read is twice the number of math problems he solved.

Hence equation can be framed as;

[tex]y =2x[/tex]

Also Given:

Ayden can solve each math problem in 3 minutes and he can read each page in 1 minute and it took him 50 minutes to complete all of his homework.

Hence the equation can be framed as;

[tex]4x+2.5y =45[/tex]

Now Substituting the value of y in above equation we get;

[tex]4x+2.5(2x) =45\\\\4x+5x=45\\\\9x=45\\\\x=\frac{45}{9}=5[/tex]

Now Substituting the value of x to find the value of y we get;

[tex]y =2x =2\times5 =10[/tex]

Hence Brayden Solved 5 math problem and read 10 pages.

Answer:

67 squares or 66.66 squares.

2/3 turned into a decimal is 66.66 or rounded, 67 squares.

Hope this helped! (plz mark me brainliest!)

Answer:

-20% ?

Step-by-step explanation:

I'm not sure but 2% of 5 is 1 so 20% of 500 is 100. so minus 20% would give you 400.

To find the percent of change in foreclosures, subtract the new number from the old number, divide by the old number, and multiply by 100. The foreclosures went from 500 to 400, resulting in a 20 percent decrease.

To calculate the percent of change in the number of foreclosures from one year to the next, you take the difference in the numbers (new number - old number), divide by the old number (the number from the earlier year), and then multiply the result by 100 to obtain a percentage. In this case, there were 500 foreclosures last year and 400 this year. Therefore, the calculation is as follows:

(Old Number - New Number) / Old Number × 100 = Percent Change

(500 - 400) / 500 × 100 = 100 / 500 × 100

0.2 × 100 = 20%

There has been a 20 percent decrease in foreclosures from last year to this year.

Answer:

The 10% off sale will save Melissa $10.49.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

[tex](195.99-5\%\ of\ 195.99)[/tex]

[tex]=(195.99-\frac{5}{100}\times 195.99)[/tex]

[tex]=(195.99-9.80)[/tex]

[tex]=186.19[/tex]

Now, adding the sales tax:

[tex]186.19+7\%\ of\ 186.19[/tex]

[tex]=186.19+\frac{7}{100} \times 186.19[/tex]

[tex]=186.19+13.03[/tex]

[tex]=199.22[/tex]

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

[tex]195.99-10\%\ of\ 195.99[/tex]

[tex]=195.99-\frac{10}{100} \times 195.99[/tex]

[tex]=176.39[/tex]

So, adding sales tax:

[tex]176.39+7\%\ of\ 176.39[/tex]

[tex]=176.39+\frac{7}{100} \times 176.39[/tex]

[tex]=188.73[/tex]

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

[tex]199.22-188.73[/tex]

[tex]=10.49[/tex]

Therefore, the 10% off sale will save Melissa $10.49.

Final Answer:

The 10% off sale will save Melissa approximately $19.60.

Explantion:

To calculate the savings from the 10% off sale on the listed price of the digital camera, follow these steps:
1. Determine the listed price of the camera. In this case, the listed price is $195.99.
2. Calculate the discount amount by multiplying the listed price by the discount percentage (expressed as a decimal). For a 10% discount, you would convert that percentage to a decimal by dividing by 100:

10% = 10/100 = 0.10.
3. Multiply the listed price by the decimal form of the discount percentage to find the savings:
  Savings = Listed Price × Discount Percentage
  Savings = $195.99 × 0.10
4. Calculate the actual savings:
  Savings = $195.99 × 0.10 = $19.599
5. Since savings are typically represented in dollar format (rounded to two decimal places), we round the savings to the nearest cent:
  Savings ≈ $19.60
So, the 10% off sale will save Melissa approximately $19.60.

Evan would have to pay $10.50 to the pizza shop if he bought 7 slices of pizza. The monthly cost for x slices of pizza would be $1.50x.

Evan purchased a membership to a pizza shop that has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $1.50 per slice of pizza. If Evan bought 7 slices of pizza this month, he would have to pay $1.50 per slice, since he is a member. Therefore, Evan would have to pay 7 x $1.50 = $10.50 to the pizza shop.

The monthly cost for x slices of pizza can be calculated by multiplying the cost per slice ($1.50) by the number of slices (x). So, the monthly cost for x slices would be x x $1.50 = $1.50x.

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Answer:

Step-by-step explanation:

[tex]sin (x)=-0.8\\x+y=90\\x=90-y\\sin(90-y)=-0.8\\cos (y)=-0.8\\sin (90-\alpha )=cos\alpha[/tex]

Answer:

cos x

Step-by-step explanation:

Answer:

[tex] \frac{16}{7(x + 4)} + \frac{5}{7(x - 3)} [/tex]

your answer is not correct.

Answer: Use all numbers to add.

2918+49=2967

Estimated.... 2918+49 ≈ 3050

Hope this helps you out.

Answer:use all the numbers

Step-by-step explanation:

2918+49 ≈ 3050

Answer:

  1)  B, C, and D

  2)  plane BFD

Step-by-step explanation:

1) Collinear points are points on the same line. There are two lines shown. One of them shows points A, C, and E on it. The other line shows points B, D, and D on it. The latter set of points is listed among the answer choices.

__

2) A plane can be named by three points in the plane that are not on the same line. The points shown as being in the plane are B, C, D, F, with points B, C, and D being on the same line (see question 1). So, the plane can be named with point F and any two of B, C, and D. Plane BFD is an appropriate name.

Answer:

Hudson earned $520 in moving lawns and $880 by working in Pizza place.

Step-by-step explanation:

Given:

Total Money Earned = $1400

Let Money earned in moving lawns be 'x'

Also Given:

he earned $360 more at the pizza place than mowing lawns

Money Earned working at pizza place = [tex]x+360[/tex]

we need to find money earned in each job.

Now Total money earned is equal to sum of Money earned moving lawns and money earned working at pizza place.

Framing the equation we get;

[tex]x+x+360=1400[/tex]

Solving the equation we get;

[tex]2x+360 =1400\\\\2x = 1400-360\\\\2x =1040\\\\x=\frac{1040}{2}=\$520[/tex]

Money Earned working at pizza place = [tex]x+360 = 520 +360 = \$880[/tex]

Hence Hudson earned $520 in moving lawns and $880 by working in Pizza place.

Final answer:

To determine the earnings from each job, equations were set up using the total amount earned and the difference between the two earnings. The student earned $520 mowing lawns and $880 at the pizza place.

Explanation:

The student has provided information indicating that he worked two jobs and earned a combined total of $1400 over the summer. He earned $360 more at the pizza place than he did mowing lawns. To solve for how much he earned at each job, we need to set up two equations based on the given information. Let the amount earned mowing lawns be x and the amount earned at the pizza place be y.

From the information given, we have two equations:

Now we can substitute the second equation into the first to find how much he earned from each job. From the second equation, we have y = x + $360. Substituting this into the first equation gives us:

x + (x + $360) = $1400

Combining like terms gives us:

2x + $360 = $1400

Subtract $360 from both sides yields:

2x = $1040

Dividing both sides by 2 gives us:

x = $520

Therefore, the student earned $520 mowing lawns. To find how much was earned at the pizza place, we substitute x back into the second equation:

y = $520 + $360

So, the student earned $880 at the pizza place.

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1 } [/tex]

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

Answer:

Cost in decreasing order: Project B>Project A>Project D>Project C

Step-by-step explanation:

Project A

Area:  [tex]A=20 in*15 in= 300 in^2[/tex]

Scale: [tex]S=\frac{4 ft *4ft}{1 in*1in}=16 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{22000}{300 in^2*16 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.58}{ft^2}[/tex]

Project B

Area:  [tex]A=10 in*8 in= 80 in^2[/tex]

Scale: [tex]S=\frac{8 ft *8ft}{1 in*1in}=64 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{25000}{80 in^2*64 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.88}{ft^2}[/tex]

Project C

Area:  [tex]A=15 in*12 in= 180 in^2[/tex]

Scale: [tex]S=\frac{6 ft *6ft}{1 in*1in}=36 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{27000}{180 in^2*36 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.16}{ft^2}[/tex]

Project D

Area:  [tex]A=8 in*6 in=48 in^2[/tex]

Scale: [tex]S=\frac{12 ft *12ft}{1 in*1in}=144 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{30000}{48 in^2*144 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.34}{ft^2}[/tex]

There are 14 toys in Zoey's basket.

Step-by-step explanation:

Given,

Balls in basket = 3

Stuffed animals = 2 times as balls in basket

Stuffed animals = 2*3 = 6

Bones = 1 fewer than stuffed animals.

Fewer means subtraction

Bones = 6-1 = 5

Total toys = Balls + stuffed animals + bones

Total toys= 3+6+5 = 14

There are 14 toys in Zoey's basket.

Keywords: addition, multiplication

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Answer:

There is no finite maximum value of the radius of C.

Step-by-step explanation:

We have been given that in the rectangular coordinate system, points (4,0) and (–4,0) both lie on circle C. We are asked to find the maximum possible value of the radius of C.

If the center of the circle C would have been at origin (0,0), then the radius of the circle C would be 4 units.

Since there is no information given about center of circle, so radius can be infinitely long. Therefore, there is no finite maximum value of the radius of C.

Answer:

  3

Step-by-step explanation:

63 can be factored as ...

  61 = 1×63 = 3×21 = 7×9

The only plan that meets Matthew's requirement for number of days is to read 21 pages on each of 3 days.

answer : 8 vans and 7 buses

Answer:

I would approach it with a graph or chart because that is the best way to go about a problem like this. don't quote me on this though because im only a freshmen in highschool. I hope this helps>

Step-by-step explanation:

Answer:

The question is not complete; the options are not given.

This is the complete question

Which of the following approaches is most suitable for auditing the finance and investment cycle?

a) perform extensive tests of controls and limit substantive procedures to analytical procedures

b) Ignore internal controls and perform extensive substantive procedures

c) Gain an understanding of internal controls and perform extensive substantive procedures

d) Ignore internal controls and limit substantive procedures to analytical procedures

Step-by-step explanation:

The right option is option c)

Gain an understanding of internal controls and perform extensive substantive procedures.

The approaches which is most suitable for auditing the finance and investment cycle is gaining an understanding of internal controls and perform extensive substantive procedures. Which makes option c the right option.

Answer:

a) equilibrium price = $48

b) shortage of 50 million phones

Step-by-step explanation:

Quarterly sales of a brand/quantity demanded (q) =

-p+126 million phones

a) if supply(q) = 9p - 354 million phones, at equilibrium quantity demanded = quantity supplied

-p + 126 = 9p - 354

-p - 9p = -354 - 126

-10p = -480

p = -480/-10

p = $48

The price at equilibrium = $48

b) actual wholesale price in the fourth quarter of 2004= $43

Quantity demanded = -p + 126

= -43 + 126

= 83 million phones

Quantity supplied = 9p - 354

= 9(43) - 354

= 387 - 354

= 33 million phones

Since quantity supplied is less than quantity demanded, there will be a shortage.

Shortage = 83 -33

= 50 million phones

The equilibrium price is determined to be $48 by equating the demand and supply. At an actual price of $43, there is a shortage of 50 million phones. This is found by comparing the quantities demanded and supplied at that price.

Equilibrium Price and Surplus/Shortage Estimation

We are given the demand and supply functions for cell phones, where the demand function is q = −p + 126 and the supply function is q = 9p − 354. To find the equilibrium price, we set the demand function equal to the supply function:

Solving for p:

Hence, the equilibrium price is $48.

For part (b), we need to estimate the shortage or surplus at an actual wholesale price of $43. We substitute p = 43 into both demand and supply functions:

Therefore, there is a shortage of 83 - 33 = 50 million phones at the price of $43.

Kira runs 144 miles in 9 weeks.

Step-by-step explanation:

Given,

Distance ran on Monday = 2.5 miles

Distance ran on Wednesday = 5.75 miles

Distance ran on Friday = 7.75 miles

Distance ran in one week = 2.5+5.75+7.75 = 16 miles

Distance ran in 9 weeks = Number of weeks * Distance ran in one week

Distance ran in 9 weeks = 16*9 = 144 miles

Kira runs 144 miles in 9 weeks.

Keywords: multiplication, addition

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