A scale factor of 5 was applied to this figure. What would be the new length of the height and width of the triangle?

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

-1.9

Step-by-step explanation:

Hope this helps!

Answer:

-1.9

Step-by-step explanation:

0.2 x -9.5 = -1.9

Answer:

To find output try adding 1.5 to each input number, hope this helped.

Step-by-step explanation:

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)

Consider (ii)

\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)

Multiply 10 on both sides , we get

\(10Y-X=265000 (iii)\)

Add (i) and (iii)

\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)

Put this in (i)

\(X= 33500+0.2(373125) =108125\)

Hence, X= 108125 and  Y  = 373125.

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

Answer: = 4 m

There is a negative sign before number 16. It means the butterfly moved in a backward direction. =4 m, from the Initial position

Answer:

8.592541673827118e-5

Step-by-step explanation:

kinda easy

Answer:

  independent: day number; dependent: hours of daylight

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

  1.79 fewer hours on Feb 10

Step-by-step explanation:

a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).

__

b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,

March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...

  d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

__

c) d(41) = 10.34, so February 10 will have ...

  12.13 -10.34 = 1.79

hours less daylight.

Answer:

x= 0, y = -1

Step-by-step explanation:

5x + 16y = -16

-9x – 8y = 8.     , multiply both sides of this equation by 2

 5x + 16y = -16

-18x – 16y = 16  , add both equations so the y will eliminate

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

-13x           = 0,  divide both sides by -13

    x = 0

5·0 + 16y = -16, substitute x= 0 in the first equation and solve for y

        16y = -16 , divide both sides by 16

          y = -1

The solution of the system of equation is the point ( x= 0, y = -1)

Answer:

70%

Step-by-step explanation:

to do this you would just simply divide 35 by 50

which results in 0.7, then you just multiply the 0.7 by 100.

That gets you 70% of Juans test was finished.

Answer: 70%

Formulate:

\(35\div50\)

Calculate:

\(\frac{35}{50}\)

Cross out the common factor:

\(\frac{7}{10}\)

Multiply a number to both the numerator and the denominator:

\(\frac{7}{10}\times\frac{10}{10}\)

Write as a single fraction:

\(\frac{7\times10}{10\times10}\)

Calculate the product or quotient:

\(\frac{70}{100}\)

Rewrite a fraction with denominator equals 100 to a percentage:

70%

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

The answer is number 2

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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Confidence interval is written as

Sample proportion +/- margin of error

The formula for determining margin of error is

where

z represents the z score corresponding to the confidence interval

p represents the sample proportion. It also means the probability of success

q represents the probability of failure

q = 1 - p

p = x/n

where

n represents the number of samples

x represents the number of success

From the information given,

n = 325

x = 260

p = 260/325 = 0.8

q = 1 - p = 1 - 0.8 = 0.2

To determine the z score, we would subtract the confidence level from 100 to get alpha, a

Thus

a = 1 - 0.99 = 0.01

a/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z scores table is 2.576. Thus, the z score for a 99% confidence interval is 2.576

Thus, the 99% confidence interval is

Thus,

the lower limit is

0.8 - 0.057 = 0.743

the upper limit is

0.8 + 0.057 = 0.857

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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The earliest time at which they can be finished moving all of the boxes is: d. 9:44 a.m

To determine the earliest time at which Quincy and Celine can finish moving all of the boxes, we need to determine the maximum amount of time it will take for them to move all of the boxes. We can do this by calculating the time it will take for each person to move each type of box individually, and then adding those times together.

Quincy takes 1 minute to move a small box and 2 minutes to move a large box. Celine takes 2 minutes to move a small box and 3 minutes to move a large box.

Time to move 16 small boxes: 16 boxes * 1 minute/box = 16 minutes

Time to move 10 large boxes: 10 boxes * 2 minutes/box = 20 minutes

Total time for Quincy: 16 minutes + 20 minutes = 36 minutes

Time to move 16 small boxes: 16 boxes * 2 minutes/box = 32 minutes

Time to move 10 large boxes: 10 boxes * 3 minutes/box = 30 minutes

Total time for Celine: 32 minutes + 30 minutes = 62 minutes

To get the earliest time they can finish moving all the boxes, we take the maximum of the two times:

Max(36 minutes, 62 minutes) = 62 minutes

Start time: 9:00 a.m.

End time: 9:00 a.m. + 62 minutes = 9:62 a.m.

So the earliest time they can finish moving all the boxes is 9:62 a.m.

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Answer:

12 hours

Step-by-step explanation:

4 / 2

2/2

1

4 = 2²

2² x 3 = 4 x 3 = 12

Answer:

PLS RATE THIS ANSWER THE BEST I REALLY NEED POINTS!!!

Step-by-step explanation:

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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Answer:

56+8x

Step-by-step explanation:

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

8.5

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

Since MR=MR and XM=MY and angle XMR = angle RMY,

then triangle XMR is congruent to triangle RMY by SAS postulate

Therefore, XR has to be equal to RY.

Making 6x+2=17

subtracting both sides by 2 gives you 6x=15

then dividing both sides by 6 gives you x=15/6

simplifying this fraction gives you x=5/2

Hope this helps.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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There are seven(7) rectangles altogether.

How many rectangles are here altogether?

A rectangle is a form of quadrilateral having opposing sides parallel and four right angles.

Rectangle ABCD

Rectangle ADEF

Rectangle FECB

Rectangle AGFO

Rectangle FOBH

Rectangle OEHC

Rectangle GDOE

In conclusion, there are 7 rectangles in the diagram.

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Answer: 4²

Explanation: First, we count the number of 4's to

find that we have 2 factors of 4.

So to write this problem in exponential form, we use a base

of 4 and an exponent of 2 which can be read as "4 to the 2nd power."

Answer:

4×4×4=64 to the power of 3=64

Answer:

Most research has found time-of-day does play a significant part in student achievement. When students were taught at times matching their learning style preferences, scores were significantly higher on achievement tests.

It takes reflection and collaboration with others, but by looking deeper into the time we spend on different tasks, we can improve outcomes for our students.

Unfinished learning is an educational term referring to concepts or skills in any subject that students were in the process of learning but unable to master, or never had the opportunity to learn.

Effective classroom movement simply acknowledges that there is a direct connection between physical movement and things like attention, memory, and learning. One of the most effective (and free) ways to improve attitudes, increase retention, and improve student focus is to lead students in simple movement activities.

Countless studies have shown that early school start times are associated with students getting less sleep, which negatively affects student academic performance. Students with less sleep have difficulty paying attention in class and are likely to have lower grades. They may also experience irritability and fatigue.

The American Academy of Pediatrics has recommended that middle and high schools start at 8:30 a.m. or later to give students the opportunity to get the amount of sleep they need, but most American adolescents start school too early.

But it's more than just physical coordination. This timing system coordinates social and learning cues as well. This sense of time is at work while your child is trying to listen to directions, when they process and respond to those directions, while they converse with friends, read, solve math problems and much more.

Step-by-step explanation:

hope this helped!