help... Reference books are for use in the library. There are 16 bookshelves for the reference books. After use, they need to be returned to a special collection box for shelving. If 128 reference books are in use and 84 reference books are in the collection box, how many reference books are on the shelf?

Answer:

k = 7

Step-by-step explanation:

To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.

3y = -2x + 5

y = - 2/3x + 5/3

The slope is -2/3, so the perpendicular slope in 3/2

You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.

1 + 6 = 7

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

Find out more on circle at: https://brainly.com/question/24375372

Answer:

Hi I'm always here to help!!!

___________________________

x = 5

___________________________

Have a great day!!!!!!!

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

Answer: No Solution

Step-by-step explanation:

To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.

However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.

7 can never equal 4/5, so there is no solution :)

Answer:

SW = 130

Step-by-step explanation:

[tex]2(2x+5)=5x-20[/tex]

This is what the equation should be because this is a rectangle.

[tex]4x+10=5x-20[/tex]

Once you finish simplifying, move the numbers and variables over to get this.

[tex]x=30[/tex]

Then do multiplication and addition to get 130.

Let's see

Area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]

[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]

Answer:

The answer is 270

Step-by-step explanation:

5×54=270

Answer:

1.05 x 10^0.

Step-by-step explanation:

1.05 x 10^3 / 1 x 10^3

= 1.05/1  x 10^(3-3)

= 1.05 x 10^0

Answer:

21/4 is the biggest number hope it helps, God bless ya'll!

Step-by-step explanation:

Answer:

116 2/3 liters of milk

Step-by-step explanation:

4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk

I hope this was good enough. Happy mathing!

Answer:

√20 which can be written as 2√5

Answer:

140.80

Step-by-step explanation:

Not completely sure if my answer is correct

By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.

The height equation is:

h(t) = -14*t^2 + 28*t

When t = 0, we have: h(0)  = 0

So it is in the ground, meaning that it is thrown at the time t = 0.

We need to find the other root of the quadratic equation, so we need to solve:

-14*t^2 + 28*t = 0

We can rewrite this as:

t*(-14*t + 28) = 0

The parenthesis is zero when:

-14*t + 28 = 0

t = 28/14 = 2

So at t = 2, the ball hits the ground.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

The true statement about h(x) is: The function is increasing on the interval [0, ∞).

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

             a> 0 , the function is increasing;

             a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

The domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

You should convert the text of the question into a math expression.

[tex]h(x)=3*\sqrt{x}[/tex]

Like the coefficient a is greater than zero (a>0), the function is increasing.

The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.

The range is:

[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Learn more about the range and the domain here:

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Answer:

9/8

Step-by-step explanation:

3/4 2/3

LCM=12

9/8

Am not sure

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

Answer:

C. (5, 8, 9)

Step-by-step explanation:

Put the triples into the Pythagorean Theorem and see if they come out true.

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

5, 12, and 13 are a Pythagorean Triple.

a² + b² + c²

8² + 15² = 17²

64 + 225 = 289

289 = 289

8, 15, and 17 are a Pythagorean Triple.

a² + b² = c²

5² + 8² = 9²

25 + 64 = 81

89 ≠ 81

5, 8, and 9 are NOT a Pythagorean Triple.

a² + b² = c²

6² + 8² = 10²

36 + 64 = 100

100 = 100

6, 8, and 10 are a Pythagorean Triple.

Answer:

44 campers chose basketball

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces.

P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

Z-score indicates how much a given value differs from the standard deviation.

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = mean

[tex]\sigma[/tex]=standard deviation

P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.

From the standard normal table

P(z ≤ 0. 82) ≈80%.

Hence, P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

To get more about the z-score visit:

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Answer:  5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

                                 = [tex]\frac{4}{5} ft[/tex] (7ft)

                                 = [tex]\frac{28}{5}ft^{2}[/tex]

                                 = 5.6ft²

Can you please show me what angle?

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

Answer:

4000 meters

Step-by-step explanation:

Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)

Answer:

Area of right angle triangle is axb/2

3x4/2 = 6 sq. Cm

Area of parallelogram = bxh

20x21.5 = 430 in2

Answer:

Area of the triangle: 6 cm
Area of the parallelogram: 430 in²

Step-by-step explanation:

Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.

Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.

Answer:

1/4

Step-by-step explanation:

It is really weird that this answer is not on there but here is my explanation.

We can consider this question in two different ways.

First, we could list the possible outcomes.

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.

Alternatively, we could look at each of the three independent events in turn.

We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.

We toss the second coin and there is a probability of 1/2 that the result matches the first toss.

We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.

So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).

So that’s 1 * (1/2) * (1/2), which is 1/4.

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200