After 6 new students entered the Happy Hearts Childcare Center and 2 students exited, there were 3 times as many students as before. How many students were present before students entered and exited the center?​

Answer:

  a) 48 gigabytes

  b) 250 minutes, or 4 hours 10 minutes

Step-by-step explanation:

For D(t) = 75 -0.3t modeling the number of remaining gigabytes to download after t minutes, you want to find D(90) and t such that D(t) = 0.

  D(90) = 75 -0.3·90 = 48

After 90 minutes, 48 gigabytes are left to download.

The time required to complete the entire download is given by ...

  0 = 75 - 0.3t

  0 = 250 -t . . . . . divide by 0.3

  t = 250 . . . . . . add t

It will take 250 minutes, or 4 hours 10 minutes to download the entire game.

__

Additional comment

The attached calculator screen shows conversion to hours and minutes. Hours, minutes, seconds are computed "base-60" the same way that Degrees, minutes, seconds are computed "base-60". 250 minutes is converted to hours by dividing by 60 min/hour. We can use the →DMS function of the calculator to show decimal or fractional hours in hours : minutes : seconds. In this use of that function, degrees represents hours.

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According to the given statement the area of shaded region is is 20 units squared.

As an outcome, an isosceles triangle has two equal sides as well as two equal angles. As from Greek words iso (same) and skelos, the phrase is formed (leg). Except for a right triangle, which has quadrilateral on all sides, a scalene triangle lacks equal sides on each side.

The slope of the line connecting the bottom right vertex of something like the triangle to the top left vertex of both the square is equal to -1/2.

This line's equation is y = (-1/2)x + 10. (1)

The point at the triangle's top vertex is (15, 10)

The slope of the segment between (10, 0) and (15, 10) is 10/5, which equals two.

The line connecting these two locations has the equation y = 2(x - 10) y = 2x - 20. (2)

You may get the x coordinate of the point where these lines cross by putting (1) = (2) 

(-1/2)x + 10 = 2x - 20 

30 = [5/2]. x x equals 12 and y equals 2(12) - 20 = 4.

Therefore, the triangle's shaded area's height is 4 and its base is 10.

Its area is therefore (1/2)(4)(10) = 20 units squared.

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:84

Step-by-step explanation:

hope this helps :))

Answer:

y = 20x + 80

Step-by-step explanation:

The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.

A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.

The dimensions of the upper part:

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The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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The  standard deviation of the number of errors in students' statistics homework is 0.94

The percentage of students made three error = 13%

The percentage of students made two error = 27%

The percentage of students made one error = 40%

The percentage of students made zero error = 100 - (13+27+40)

= 100 - 80

= 20%

Next we have to find the value of E(x)

E(x) = 0.2(0) + 0.4(1) + 0.27(2) + 0.13(3)

= 0 + 0.4 + 0.54 + 0.39

= 1.33

Next find the value of variance

Variance = 0.2(0-1.33)^2 + 0.4(1-1.33)^2 + 0.27(2-1.33)^2 + 0.13(3-1.33)^2

= 0.35378 + 0.04356 + 0.121202 + 0.362557

= 0.8811

Standard deviation = \(\sqrt{0.8811}\)

= 0.94

Therefore, the standard deviation is 0.94

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Answer:

5

Step-by-step explanation:

5 is greater than 1 because it is further to the right from zero on the number line

Answer:

5 because 5 is a bigger number than 1.

Step-by-step explanation:

5 is bigger by for an example if you have 5 apples vs 1 apple.

5 apples is more right.

The solutions to the quadratic  equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.

What exactly are quadratic equations?

A quadratic equation in algebra is a second-degree polynomial equation of the form: ax² + bx + c = 0, where a, b, and c are constants and x is the variable. For the equation to be quadratic, the coefficient a must not be equal to zero.

Now,

To solve the equation 3x² + 8x - 50x = 42 algebraically, we can follow these steps:

3x² - 42x = 42

Move all the terms to one side of the equation, so that the equation equals 0:

3x² - 42x - 42 = 0

Divide both sides of the equation by the common factor of 3 to simplify it:

x² - 14x - 14 = 0

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = -14, and c = -14, so we can substitute these values into the formula:

x = (-(-14) ± √((-14)² - 4(1)(-14))) / 2(1)

= (14 ± √(232)) / 2

≈ 12.07 or 1.93

Therefore, the solutions to the equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.

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Right question:-

Solve this equation algebraically. Give your solutions correct to 2 decimal places. 3x² + 8x - 50 x = 42.

The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

Step-by-step explanation:

5 3/4 + 2 1/2

Add the whole numbers first

5 + 2

Add the fractions next

3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 and 1/4

The total is

7 + 1 1/4 = 8 1/4

Step-by-step explanation:

solution given:

\(5 \times \frac{3}{4} + 2 \times \frac{1}{2} \\ \frac{23}{4} + \frac{5}{2} \\ \frac{23 + 10}{4} \\ \frac{33}{4} \\ is your answer\)

Answer:

Step-by-step explanation:

\(9(r_n+r_o)=1\\ \\ r_n+r_o=\frac{1}{9}\\ \\ r_o=\frac{r_n}{3}\\ \\ r_n+\frac{r_n}{3}=\frac{1}{9}\\ \\ \frac{4r}{3}=\frac{1}{9}\\ \\ 4r=\frac{1}{3}\\ \\ r=\frac{1}{12}\\ \\ \text{So working alone it would take the new machine 12 hours to finish the job.}\)

Answer:

10

Step-by-step explanation:

use the distance formula. (-4-4)^2 gives 64. (2+4)^2 gives 36. add them to get 100/ square root of 100 is 10.

Answer:

Area of the trapezoid = 1/2(B+b)h

where

B= length of the longer side of the trapezoid which is equal to 14 ft

b= shorter shorter side of the trapezoid  which equal 8 ft

h = height of the trapezoid which is equal to 4 ft

Area of the trapezoid = 1/2 (14+8)4

Area of the trapezoid yard fence of Duc is 44ft^2

Step-by-step explanation:

Answer:

LiNO3

Step-by-step explanation:

Lithium nitrate is an inorganic compound with the formula LiNO3.

Answer:

Option: D

Step-by-step explanation:

Took the Test

Answer: 143

90-53=37

180-37=143

Answer:

Step-by-step explanation:

The angle left to b is

90° - a

= 90° - 53°

= 37°

So now

< b + 37° = 180° ( being linear pair )

< b = 180° - 37°

< b = 143°

For the provided data we obtain; Mean = 4.1, median = 3.5 and mode = 4

We start by arranging the data in ascending order to obtain the mean, median and mode for the provided data:

0, 1, 2, 3, 3, 4, 4, 4, 10, 10

Mean: The mean is calculated by summing up all the values and dividing by the total number of values.

Mean = (0 + 1 + 2 + 3 + 3 + 4 + 4 + 4 + 10 + 10) / 10 = 41 / 10 = 4.1

Median: The median is the middle value when the data is arranged in ascending order. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

In this case, we have 10 values, which is an even number. The two middle values are 3 and 4.

Median = (3 + 4) / 2 = 7 / 2 = 3.5

Mode: The mode is the value that appears most frequently in the data.

In this case, the mode is 4 since it appears three times, which is more than any other value.

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The statement you provided mentions two separate events involving different companies lower rates

1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in  discounted prices or promotional deals on their rental services.

2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that  new cars to add to their fleet. On the other hand, Budget, yet another car rental   the company, is reducing their rental rates.

These events indicate of independent actions taken by the respective companies and are not directly connected to each other.

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Answer:

-5 degrees is colder than -3 degrees farienheight.

Step-by-step explanation:

Let's take this and eliminate every answer-

"The lowest temperature is -3 degrees."

-5 is lower than -3.

"The highest temperature is -5 degrees."

-5 degrees is the lowest temperature, not the highest!

"-5 is warmer than 3 degrees."

-5 is the LOWEST TEMPERATURE.

This leaves us with "-5 is colder than -3 degrees," which is correct because -5 is the smallest temperature and therefore, it is the coldest.

The answer to force being applied to Young's modulus of nylon is - The stress in the nylon is 1.6 x 10^8 N/m^2, and the amount by which the nylon stretches is 0.0649 m.

Let's start with part (a) of the question:

(a) To find the stress in the nylon, we can use the formula:

Stress = Force / Area

We are given the force as 6.0 x 10^5 N and the area as 0.25 m^2. So, plugging those values into the formula, we get:

Stress = 6.0 x 10^5 N / 0.25 m^2
Stress = 2.4 x 10^6 N/m^2

Therefore, the stress in the nylon is 2.4 x 10^6 N/m^2.

(b) Now, to find the amount by which the nylon stretches, we can use the formula:

Stress = Young's Modulus x Strain

We know the Young's Modulus of nylon as 3.7 x 10^9 N/m^2, and we need to find the strain. We can use the formula:

Strain = Extension / Original Length

We are given the original length of the nylon as 1.5 m. To find the extension, we need to use the formula:

Extension = Force / (Young's Modulus x Area)

Plugging in the values, we get:

Extension = 6.0 x 10^5 N / (3.7 x 10^9 N/m^2 x 0.25 m^2)
Extension = 0.0649 m

Therefore, the extension of the nylon is 0.0649 m. Now, we can find the strain as:

Strain = Extension / Original Length
Strain = 0.0649 m / 1.5 m
Strain = 0.04327

Finally, plugging the values into the formula for stress, we get:

Stress = Young's Modulus x Strain
Stress = 3.7 x 10^9 N/m^2 x 0.04327
Stress = 1.6 x 10^8 N/m^2

Therefore, the stress in the nylon is 1.6 x 10^8 N/m^2, and the amount by which the nylon stretches is 0.0649 m.

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Answer:

0.60205991

Step-by-step explanation:

type in log 4 in calculator

Answer:

≈5.3 feet,63.6 inches

Step-by-step explanation:

36+b²=64

-36 -36

b²=28

if we square root both sides we can get the radical/exact answer or the rounded one

radical: 4√7

rounded to the nearest tenth: 5.3 feet

Answer:

(x+5)(x-11)=0

Step-by-step explanation:

x^2-6x-55=0

[Multiply the coefficient of last and first, (55*1=55) and find such a factor of it such that its product is equal to the product of coefficient of last and first and such that it adds or subtracts(11-5=6)(depending on the sign of last coefficient) up to the coefficient of middle term]

x^2-11x+5x-55=0

x(x-11)+5(x-11)=0

(x+5)(x-11)=0

8 meters per seconds simply implies covering a distance of 8 meters in 1 seconds. The situation describes speed. Therefore,

We will look for similar one in the options

The answer is 80 meters in 10 seconds.

Answer:

132.35

Step-by-step explanation:

-16-(-8)*(-20)/(-11)*(-8)

= -16--8*(-20)/(-11)*(-8)

= -16+8*(-20)/(-11)*(-8)

= -16+8*-20/(-11)*(-8)

= -16+8*-20/-11*(-8)

= -16+8*-20/-11*-8

= -16+-160/-11*-8

= -16-160/-11*-8

= -16--14.545454545455*-8

= -16+14.545454545455*-8

= -16+-116.36363636364

= -16-116.36363636364

132.36363636364 (Round)= 132.35

Answer:

therefore, x is 71 degrees

Step-by-step explanation:

we know that the exterior angle is 142 degrees.

we also know that we have to find x, which is labeled two times as an interior triangle (in the same triangle), so they must be the same degree.

there are different ways to solve this but the easiest way is this:

exterior angle = opposite interior angle 1 + opposite interior angle 2

142 degrees = x + x

142 degrees = 2x

142/2 = x

x = 71

therefore, x is 71 degrees

Given that plate A is continental and plate B is oceanic, the eastward movement of the plate margins, plate A and plate B are both moving eastward while plate C remains stationary or moves at a slower rate.

To represent this on the map, we can use symbols, arrows, and labels as follows:

Plate A (continental plate): Draw an arrow pointing eastward with an appropriate symbol to represent a continental plate. Label it as "Plate A."

Plate B (oceanic plate): Draw an arrow pointing eastward with an appropriate symbol to represent an oceanic plate. Label it as "Plate B."

Plate C (continental plate): Draw a dashed line to represent the plate margin of plate C, indicating that it is stationary or moving at a slower rate compared to plates A and B.

After 25 years, considering the rates of plate motion given, the triple junction will have moved in the following direction:

Plate A will have moved 2 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 50 cm.

Plate B will have moved 4 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 100 cm.

Based on these movements, the triple junction will be located 50 cm east and 100 cm east of its current position with respect to observer X.

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