A rectangular room is 15 ft long and 10 ft wide. A scale drawing of the room had a width of 5 inches.What is the length of the room in the drawing?​

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

Answer: 43%,

Step-by-step explanation:

i did it in my search bar but its just 112 percent of 378 which is 43

Answer:

I do not have access to drawing tools. However, I can describe how to plot the function on a graph.

To plot the function h(x) = {-4, x < -3 and x+5, x > -3, you would start by drawing the x-y axes on a coordinate plane. Then, you would mark a point at x=-3 on the x-axis. At this point, the value of h(x) changes from -4 to x+5. So, you would draw a solid dot at (-3, 2) on the graph.

Next, you would draw a horizontal line at y=-4 to the left of x=-3, indicating that h(x) is always equal to -4 for x values less than -3.

Finally, you would draw a diagonal line starting from the dot at (-3, 2) and continuing to the right. This line represents the equation x+5 for x values greater than -3.

The resulting graph should have a horizontal line at y=-4 to the left of x=-3, a solid dot at (-3, 2), and a diagonal line extending to the right from the dot.

Step-by-step explanation:

Answer:

9 x + 42.

Step-by-step explanation:

Answer:

72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178

Answer:

they pay $x*35.25

Step-by-step explanation:

this is the answer

-1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

A null hypothesis is a statistical hypothesis that presupposes that there is no link between two variables in a population or that there is no meaningful difference between two populations. It serves as the beginning point of a statistical hypothesis test and is typically marked as H0. A null hypothesis serves as a reference point against which the alternative hypothesis may be compared. The alternative hypothesis is accepted if there is sufficient evidence from the data to reject the null hypothesis. The null hypothesis is not rejected if there is insufficient evidence in the data to support it.

Using a significance threshold of 0.05, we may use a conventional normal distribution table or calculator to get the essential z value. The value that corresponds to the 0.025 percentile is the crucial z value (or the 0.975 percentile, depending on the direction of the alternative hypothesis).

The z value for the 0.025 percentile, as determined by a typical normal distribution table, is -1.96.

Hence, -1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

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Answer:

B) 352

Step-by-step explanation:

45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

The total personnel costs of the cleanup would be $8,625.

Between 9AM and 5PM, a total of 8 hours, the workers are present during the interval t=0 to t=8. During this interval, the number of workers is given by:

f(t) = 30 + 10sin((2π/16)t)

We can calculate the number of workers for each hour using this formula:

f(0) = 30 + 10sin(0) = 30

f(1) = 30 + 10sin(π/8) ≈ 38.66

f(2) = 30 + 10sin(π/4) = 40

f(3) = 30 + 10sin(3π/8) ≈ 38.66

f(4) = 30 + 10sin(π/2) = 40

f(5) = 30 + 10sin(5π/8) ≈ 38.66

f(6) = 30 + 10sin(3π/4) = 30

f(7) = 30 + 10sin(7π/8) ≈ 21.34

f(8) = 30 + 10sin(π) = 20

So, during the first 8 hours, the number of workers fluctuates between 20 and 40.

Between 5PM and 9AM the next day, a total of 16 hours, the workers are present during the intervals t=8 to t=12, t=20 to t=36, and t=44 to t=48. During these intervals, the number of workers is given by:

Between t=8 and t=12, the number of workers is decreasing from 40 to 20. We can approximate this by a linear function:

f(t) = 40 - 5t

Between t=20 and t=36, the number of workers is constant at 20.

Between t=44 and t=48, the number of workers is increasing from 20 to 40. We can use the same linear function as before, but with t shifted by 44:

f(t) = 40 - 5(t-44)

We can now calculate the total personnel costs by multiplying the number of workers at each time interval by the appropriate hourly rate:

From 9AM to 5PM (8 hours): 30 workers on average, at a rate of $15 per hour:

8 × 30 × 15 = $3,600

From 5PM to 9AM the next day (16 hours):

From t=8 to t=12 (4 hours): average of 30 workers, at a rate of $22.5 per hour:

4 × 30 × 22.5 = $2,700

From t=20 to t=36 (16 hours): constant 20 workers, at a rate of $22.5 per hour:

16 × 20 × 22.5 = $7,200

From t=44 to t=48 (4 hours): average of 30 workers, at a rate of $22.5 per hour:

4 × 30 × 22.5 = $2,700

The total cost is the sum of the costs for each time interval:

$3,600 + $2,700 + $7,200 + $2,700 = $16,200

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Step-by-step explanation:

Frequency of a mass-spring system is:

f = √(k/m) / (2π)

Given f = 2/π Hz and m = 20 kg:

2/π Hz = √(k / 20 kg) / (2π)

4 Hz = √(k / 20 kg)

16 s⁻² = k / 20 kg

k = 320 kg/s²

k = 320 N/m

If the 20 kg mass is replaced with an 80 kg mass, the frequency is:

f = √(320 kg/s² / 80 kg) / (2π)

f = √(4 s⁻²) / (2π)

f = 2 Hz / (2π)

f = 1/π Hz

The sprint constant is 320 N/m

And, the frequency is \(1\div \pi Hz\)

Since A 20-kilogram mass is attached to a spring. And, the frequency of simple harmonic motion is 2/p cycles/s.

Now we know that

\(f = \sqrt (k\div m) \div (2\pi)\)

Here

\(f = 2\div \pi Hz\)

and m = 20 kg:

So,

\(2\div \pi Hz = \sqrt (k \div 20 kg) / (2\pi)\\\\4 Hz = \sqrt(k \div 20 kg)\\\\16 s^{-2} = k \div 20 kg\)

k = 320 kg/s²

k = 320 N/m

Now the frequency is:

\(f = \sqrt(320 kg/s^2 \div 80 kg) \div (2\pi)\\\\f = √(4 s^{-2}) \div (2\pi )\\\\f = 2 Hz \div (2\pi)\)

\(f = 1\div \pi Hz\)

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Answer:

I hope this help

The answer is 24

Answer:

45.                                    Second part is -36 then -4+28i

41

72

Step-by-step explanation:

Just did on edg 2021

Answer: 8x14= 112. there are 112 players in total

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

14x8=112

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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Answer:

it is a since using the pythagoras theorium the brainly bahahaha

Answer: 21+3x

Step-by-step explanation: simply distribute the three into the parentheses

Hope this helps

Answer:

21+3x

Step-by-step explanation:

you multiply 3 by 7 and then you sum it with 3 multiplied by x hope i helped

Answer:

Julien scored 17 goals (9 more than Nicole)

Step-by-step explanation:

Nicole: 8 goals (x-9) = 8

Julien: x-9 = y

Nicole:

x-9=8

x=17

Julien:

17-9 = 8

Julien scored 9 more goals than Nicole giving Julien 17 goals on the season and Nicole 8 goals

Answer:

problem 8= 769.3

problem 16=A

problem 11= independent-x , dependent-y

problem 12= independent- s , dependent- v

problem 17= C

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

2x+5

Step-by-step explanation:

The answer is in the question.

2 and x is 2x and plus 5 is +5.

Answer:

2x+5

Step-by-step explanation:

the product 2 of x is 2x plus 5

2x+5

The solution set for the inequality - x < 2 is - x < 2.

What is  inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

An inequality in mathematics depicts the connection between two values in an unbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, more than or equal to, less than, or equal to another value.

-x<2

Multiply both sides by -1 (reverse the inequality)

(-x)(-1)>2(-1)

Simplify

x>-2

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Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

The battery will last 2.73 hours when it is fully charged

The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity

Since Cheryl's phone battery is 55% charged and it will last for another 1.5 hours. Thus, the rate will be:

rate =   1.5 hours/55% = 3/110 hour per %

When it is fully charged, that is 100%. Thus, it will take:

Time for 100% = (3/110) * 100% = 2 8/11 hours = 2.73 hours

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

Step-by-step explanation:

First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03

That means that there was a gain of $7.03 per share for Archie.

That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:

(7.03x100)= 703

The answer then is:

Archie gained $703 from selling all of his shares.