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Answer:

The pages that will be added to the yearbook to have 2 articles on every 13 pages is 813.8 pages.

Step-by-step explanation:

We know that if there are 75 submissions and it says Paul will accept [tex]\frac{2}{5}[/tex] of the submissions.

To find that we have to

                     = [tex]75-\frac{2}{5}[/tex]

                     = [tex]74.6[/tex]

Now multiplying by 13,

                      = 13 x 74.6

                      = 969.8

Then to find the pages that will be added to the yearbook is

                      = 969.8 - 156

                      = 813.8 pages.              

Answer:

D (Bottom right choice)

Step-by-step explanation:

This is because we have a linear line that changes the same amount every time.

Answer:  Median = 3

Explanation:

Sort the numbers to get {1,2,3,5,6}. The middle most number is 3, so that's the median.

Answer:

97 years

Step-by-step explanation:

20,000 - 15,862 = 4,138

[tex]\frac{y}{15,862}: \frac{1.3}{100}[/tex]

y × 100 = 15,862 × 1.3

100y = 20620.6

100y ÷ 100 = 20620.6 ÷ 100

y = 206.206

20,000 ÷ 206.206 = 96.9903882525

96.9903882525 rounds to 97

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

[tex]h \to altitude[/tex]

[tex]b \to base[/tex]

[tex]A \to Area[/tex]

So:

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]

[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]

The area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

Calculate b when [tex]A =88cm^2; h =8cm[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]88=\frac{1}{2} * b * 8[/tex]

[tex]88 =b * 4[/tex]

Solve for b

[tex]b = 88/4[/tex]

[tex]b = 22[/tex]

We have:

[tex]A = \frac{1}{2}bh[/tex]

Differentiate with respect to time

[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]

Substitute the following values in the above equation

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]        [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]      [tex]b = 22[/tex]     [tex]h = 8[/tex]

[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]

Multiply both sides by 2

[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]

[tex]3 = 8 * \frac{db}{dt} + 33[/tex]

Collect like terms

[tex]8 * \frac{db}{dt} = 3 -33[/tex]

[tex]8 * \frac{db}{dt} = -30[/tex]

Divide both sides by 8

[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]

[tex]\frac{db}{dt} = -3.75[/tex]

Answer:

1/2-50%..?

Step-by-step explanation:

The probability of picking an odd numbered card is 50%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, the numbers on cards are 2 3 4 5.

Number of favorable outcomes = 2

Total number of outcomes = 4

Probability of getting odd numbers = 2/4

= 0.5

= 0.5 ×100

= 50%

Therefore, the probability of picking an odd numbered card is 50%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

3/5

Step-by-step explanation:

Scale factor = 9/15 = 3/5

Answer:

[tex] - 3r - 9 = 1r + 2 \\ - 3r - r = 11 \\ - 4r = 11 \\ r = - \frac{11}{4} [/tex]

Answer:

B)  y < -x + 1

Step-by-step explanation:

you can see from the x-and-y intercepts that the equation of this line is:

y = -x + 1

now you must determine whether the equal sign should be replaced with '<' or '>'

you can use the point (0,0) to see if that makes y > -x + 1 true or false:

0 > 0+1   This is False

so the answer should be:  y < -x + 1

Step-by-step explanation:

we can simplify the stuff inside the parentheses to

[tex] \frac{ {x}^{3} }{2y} [/tex]

now we need to multiply it with itself, giving us

[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]

so yeah, D is the correct answer

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

Answer:

63.44degrees

Step-by-step explanation:

Given that;

tan(A-45) = 1/3

A-45 = arctan(1/3)

A - 45 = 18.44

A = 18.44+45

A = 63.44degrees

Hence the value of A is 63.44degrees

Answer:

Nhan reach town B at 13:24 pm

Step-by-step explanation:

Let

Speed of Nhan=3x km /hour

Speed of Phoung=4x km/hour

After 5 hours,

Distance covered by Nhan=3x(5)=15 xkm

Distance covered by Phuong=4x(5)=20x km

Total distance covered by Nhan to reach town B=15x+102 km

Total distance covered by Phuong to reach town B=20x+52 km

Distance between town A and town B for both person is same therefore,

[tex]15x+102=20x+52[/tex]

[tex]102-52=20x-15x[/tex]

[tex]50=5x[/tex]

[tex]x=10[/tex]

Speed of Nhan=3(10)=30 km/h

Speed of Phuong=4(10)=40 km/h

Total distance between town A and town B=102+15(10)=252 km

Time taken by Nhan to reach town B from town A=[tex]\frac{distance}{speed}[/tex]

Time taken by Nhan to reach town B from town A=[tex]\frac{252}{30}=8.4 hours[/tex]

[tex]8.4 hours=8+0.4\times 60[/tex]

=8 hours 24 minutes

1 hour=60 minutes

Nhan reach town B at 13:24 pm

Answer:

85 CMS

Step-by-step explanation:

Mean average means total height divided by no. Of persons.

So here total weight = 150+170+140+155+ X = 615+X

No. Of persons = 5

Average = total-height / no. Of persons

150 =, (615+X) / 5

150 * 5= 615+X

750=615+X

So, X= 750-615

X= 85 cm

Answer:

[tex]\text{D) }99^{\circ}[/tex]

Step-by-step explanation:

Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since [tex]\angle G[/tex] and [tex]\angle I[/tex] are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:

[tex]\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}[/tex]

Answer:

Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.

Step-by-step explanation:

Answer:

m∠B = x

m∠A = 4x

x + 4x = 180

5x = 180

x = 180/5

x = 36

m∠B = x = 36°

m∠A = 4x = 4 * 36 = 144°

Answer is b. 144, 36

Step-by-step explanation:

Answer:

i have adhd too lol, i think its they're both equal ?

Step-by-step explanation:

no idea lol but have a good day

Answer:

f(-1) = 5

Step-by-step explanation:

To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:

f(-1) = -(-1)^2 + 6

According to order of operations rules, exponentiation must be performed before multiplication or division.  '-(-1)^2' thus becomes -1, and so

f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.

Thus, f(-1) = 5

Answer:

3/35

Step-by-step explanation:

Answer:

A=(-13)

B=23

C=7

D=35

E=(-11)

F=(-5)

G=24

H=(-12)

Answer:

A. (-8)+(-5)=-13

B. (+16)-(-7)=23

C. (-11)-(-4)=-7

D. (-17)+(+52)=35

E. (-5)+(-8)+(2)=-11

F. (+6)+(-8)-(+3)=-5

G. (-4)-(-7)+(+21)=24

H. (-1)+(-17)-(-6)=-12

Step-by-step explanation:

these answer should be correct.

Hope this helps

Answer:

Width = 17 feet, Length = 22 feet

Step-by-step explanation:

Let the width, w, be x

Therefore, length, L = x + 5

Perimeter = 78

p = 2(L+b)

78 = 2(x + x+5)

Adding the variables,

78 = 2( 2x + 5)

Dividing both sides by two,

39 = 2x + 5

Subtracting two from both sides,

34 = 2x

Dividing by two on both sides,

17 = x

Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.

Hope you understood

Please mark as the brainliest

Thank You

Answer:

Your answer would be B

Step-by-step explanation:

So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.

So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))

And we know the y intercept is -8 (since the line pass through (-8,0))

so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.

The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2

Your welcome and hoped this helped!

Answer:

Its H

There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0,  1 dot on 7, 1 dot on 3

Step-by-step explanation:

brainly plz!

Answer:

0.1902 = 19.02% probability of returning a shipment

Step-by-step explanation:

For each alternator, there are only two possible outcomes. Either it is defective, or it is not. The probability of an alternator being defective is independent of any other alternator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

1.5% of the alternators will not perform up to specifications.

This means that [tex]p = 0.015[/tex]

Shipment of 100 alternators

This means that [tex]n = 100[/tex]

What is the probability of returning a shipment?

Probability of more than 2 defective, which is:

[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]

In which

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.015)^{0}.(0.985)^{100} = 0.2206[tex]

[tex]P(X = 1) = C_{100,1}.(0.015)^{1}.(0.985)^{99} = 0.3360[/tex]

[tex]P(X = 2) = C_{100,2}.(0.015)^{2}.(0.985)^{98} = 0.2532[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2206 + 0.3360 + 0.2532 = 0.8098[/tex]

Then

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.8098 = 0.1902[/tex]

0.1902 = 19.02% probability of returning a shipment

Answer:

A = 102°   B = 78°

Step-by-step explanation:

(3x + 12°) + (2x + 18°) = 180°

5x = 180° - 12° - 18°

5x = 150|:5

x = 30°

Answer: x=30 A=102 B=78

Step-by-step explanation:

These are linear pairs so they add up to 180.

Your equation is: 3x+12+2x+18=180

5x+30=180

x=30

Plug x into the equations to find their values.

3(30)+12=102

2(30)+18=78

Answer:

y = 1/5 x + 12/5

Step-by-step explanation:

We are looking for the equation of a line.

We satart with the slope-intercept form of the equation of a line.

y = mx + b

We need to find m, the slope, and b, the y-intercept.

The given line is y = 1/5 x - 3.

Its slope is 1/5.

Parallel lines have equal slopes, so the slope we need is also 1/5.

Now we have for our line

y = 1/5 x + b

Now we find b.

We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.

2 = 1/5 * (-2) + b

10 = -2 + 5b

12 = 5b

b = 12/5

Now that we know the y-intercept, we can write the equation of the line.

y = 1/5 x + 12/5

Answer:

yes

Step-by-step explanation:

that's that's I think

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Answer:

11 2/3%

Step-by-step explanation:

Change in Amount  =335,000 – 300,000

Percent Increase

Original Amount

300,000

35,000

2

=0.11666=11.666%=11-%

300,000

3

(https://imgur.com/a/U6c1pes) - For more clear explanation.