Ronnie records the number of chirps per minute (x) that crickets make at
different temperatures (y) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y = x + 60.
What is the interpretation of the slope and y-intercept of this equation?
Temperature (°F)
8888888888
100
90
80
70
60
50
40
30
20
10
•
1
=x+
y=
X+60
5 10 15 20 25 30 35 40 45 50
Chirps per minute

Answer: To solve a two-step inequality, undo the addition or subtraction first, using inverse operations, and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.

Step-by-step explanation:

The expression that can be represented by product (50)*(-5) is 250

Any number that can be expressed as the product of 50 and -5 can be represented using the expression (50)*(-5).

For example, if we multiply 50 and -5, we get -250. Therefore, -250 can be represented using the expression (50)*(-5).

Similarly, if we multiply 50 and -5 by any other number, we can represent the product using the expression (50)*(-5).

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In the above triangle,

1) the sum of side 1 and 2 is: 4x² + 3x + 4
2) the length of side 3 is: 5x³-6x²-12

1) To find the sum of side 1 and side 2, we simply need to add them together.

Side 1 = 3x² - x - 1

Side 2 = x² + 4x +  5

Side  1 + Side 2 = (3x²  - x - 1) + (x²  + 4x +  5)

= 3x² + x² - x + 4x - 1 + 5

= 4x² + 3x + 4

Therefore, the sum of side 1 and side 2 is = 4x² + 3x + 4

2)  We can derive the expression of the thried side by removing the expression in  (1) above form the perimeter.

That is;

(5x³-2x² + 3x - 8) - (4x² + 3x + 4)

First we distribute the negative sign

= 5x³-2x² + 3x - 8 + -1 (4x² + 3x + 4)

= 5x³-2x² + 3x - 8 + -1 (4x²) -1( 3x) -1( 4)

= 5x³-2x² + 3x - 8 + -4x² - 3x - 4

Combining like terms we have

= (5x³) (-2x²+-4x²) + (3x +- 3x) + (-8 +   - 4)

= 5x³-6x²-12

Hence the missing side (thrid side is) 5x³-6x²-12

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The power of the kettle if it takes 90 seconds to boil given the inverse proportionality is 3 kilowatts.

Let

number of seconds that it takes for a kettle to boil = n

power of the kettle = p

n = 270/p

If n = 90 seconds

n = 270/p

90 = 270/p

90 × p = 270

90p = 270

divide both sides by 90

p = 270/90

p = 3 kilowatts

Ultimately, the power of the kettle is 3 kilowatts.

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Answer:

difference = 12.5

Step-by-step explanation:

the median score is the value of the line inside the box.

median in afternoon = 75

median in morning = 87.5

difference = 87.5 - 75 = 12.5

The height of the triangle is h = 18.18 inches

Given data ,

In an equilateral triangle, all three sides are equal in length.

Let the length of each side be s

Now , the perimeter of the equilateral triangle is given as 63 inches, so we have:

Perimeter of the triangle = 3s = 63 inches

Dividing both sides by 3, we get:

s = 63/3 = 21 inches

Let's now plot an altitude from one of the equilateral triangle's vertex to the side's midway. As a result, two right-angled triangles will be formed, each with the hypotenuse "s" and sides "s/2" and "h"

From the Pythagoras theorem , we get

(h²) + ((s/2)^2) = s²

Substituting the values we found earlier for "s", we get:

(h²) + ((21/2)²) = 21²

Simplifying further, we have:

(h²) + (10.5²) = 21²

(h²) + 110.25 = 441

Subtracting 110.25 from both sides, we get:

h² = 330.75

On taking square roots on both sides , we get

h = √(330.75)

h ≈ 18.18 inches

Hence , the height of the equilateral triangle is 18.18 inches

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Answer:

x = 27°

Step-by-step explanation:

using the co-function identity

cos x = sin(90 - x) , then

cos63° = sin(90 - 63)° = sin27° with x = 27°

The  probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12

Given data ,

Let the probability that the student does not own a trampoline be P ( A ' )

Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:

1 - 14/24 = 10/24 = 5/12

So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12

Hence , the probability is 5/12

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Answer: The correct answer would be n/255 = 115/360 (N= 81.46)

Step-by-step explanation:

n/255 = 115/360

155/360 = (255)

n = 81.46 ft squared

Step-by-step explanation:

Upper problem:

The transformation is a translation of 3 units down.

Lower problem:

The transformation is a translation of 2 units left and 5 units down.

There are 5,040 different ways you can arrange your 7 favorite books on the small shelf.

The organization or positioning of a group of items or components in relation to one another is referred to as an arrangement. It can be used in a variety of situations, such as mathematics, art, or event planning, and can relate to the arrangement, positioning, or grouping of things.

The number of different ways you can arrange 7 books in a specific order is given by the permutation formula:

P(7,7) = 7!

where "!" denotes the factorial operation.

Thus, the number of ways you can arrange your 7 favorite books along a small shelf, assuming that the order of the books makes a difference to you, is:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways you can arrange your 7 favorite books on the small shelf.

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_________________________________

________________________________

The parabola for the expression are given in attachment.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix

y=2x(x-7)

Let us take few values of x and y and draw the parabola

Similarly we draw the graph for (x+4)(x-4)

Hence, the parabola for the expression are given in attachment.

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Answer:

Step-by-step explanation:

The mean of data is 5.5

Given that

The number of data is = n = 4

The given Numbers are 5, 6, 8, 13

We know

Mean x bar = (sum of data)/(number of data)

                   = (5 + 6 + 8 + 3)/4

                   = 22/4

                   = 5.5

Thus,  x bar = 5.5

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The value of the expression is $-56x² + 266x + 261

Algebraic expressions are simply described as mathematical expressions that consists of coefficients, certain variables, terms, constants and factors.

Algebraic expressions are also identified with arithmetic operations, such as;

From the information given, we have;

$49x^2+14x(19-7x)+(19-7x)^2

expand the bracket, we get;

49x² + 266x - 98x² + 361 - 7x²

Now, collect the like terms, we get;

49x² - 98x² - 7x² + 266x + 361

Add or subtract the values

$-56x² + 266x + 261

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Answer:

you got them all right except graph 4 is a function! The trick is to use the vertical line test. Put your pencil vertically on your paper and move it across the graph. If your pencil passes through the same point twice, it's not a function. :)

Step-by-step explanation:

It should be noted that to evaluate whether an organized array of numbers serves as a resolution for a combination of equations, one can apply this method.

Write down the arrangement of equations that you wish to evaluate the solution for. For illustration, let us say that we have this system:

2x + 3y = 7

x - y = 2

Inject the data from the orderly list into the equations. For example, if the ordered list is (x=1, y=3), then we have:

2(1) + 3(3) = 7

1 - 3 = -2

Verify whether the outcome of the equations are equivalent to the values in the ordered list. If they are, then the orderly list is a resolution of the arrangement of equations. On the other hand, if not, then it is not a solution.

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Answer:6720m^2

Step-by-step explanation:

Answer:height = 5 inches  and the base = 10 inches.

Step-by-step explanation:

Step-by-step explanation:

For a RIGHT triangle   tan Φ = opposite leg / adjacent leg

 for this triangle

         tan 71 = x / 5.7

       5.7 * tan 71 = x    =   16.6  units

The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect since, one group only received a placebo accurately describes the benefit of comparison in the experiment shown in the design web.  Thus option A is correct.

A scientific experiment inside that carry out a sequence of tasks and closely monitor their results to discover new information. An investigation is a method that used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that hasn't been tried before.

Although one sample only obtained a placebo inside the investigation depicted in the design web, which is difficult to compare the severity of allergic rhinitis in both groups to establish whether the drug had a substantial impact.

Hence, option A is the correct option.

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The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is  337.5 cm³

Let's denote the radius of the cylindrical can as r, and its height as h.

The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:

h + 2πr = 45..(1)

We want to find the maximum volume of the can, which is given by:

V = πr²h..(2)

From (1), h = 45 - 2πr

Substitute h value in equation above

V = πr²(45-2r)

V = 45πr² - 2π²r³

To find the maximum volume, we have to find the differentiation of V

dV/dr = 90πr - 6π²r² = 0

Solving for r, we get:

r = 15/π cm

Now plug in r value in h

V = π(15/π)²(15)

= 337.5 cm³

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Answer:

Sidama Cofee Football Team, the Ethiopian premier league club in Yiregalem, plays 70 percent of their games at night and 30 percent during the day. The team wins 50 percent of their night games and 90 percent of their day games. According to today’s news, they won yesterday. What is the probability the game was played at night?

The value of the linear sum ∑(i = 1 to 124) (29a_i - 13b_i) is -30.

We have,

Using the linearity of the sum, we have:

∑(i = 1 to 124) (29a_i - 13b_i)

= 29∑(i = 1 to 124)a_i - 13∑(i = 1 to 124)b_i [Distributive property]

= 29(-10) - 13(-20) [Substitute the given sums]

= -290 + 260

= -30

Therefore,

The value of ∑(i = 1 to 124) (29a_i - 13b_i) is -30.

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8% will be the value of sales tax that has been charged on a tie will be.

The tie cost is $22.50

The cost after the tax is $24.30.

The change in the cost will be:

= cost after-tax - cost before tax

=24.30-22.50

=1.8

The percentage change will be

Next, assemble a ratio of the sales tax to the pre-tax cost of the tie.

=Sales tax/Pre-tax value

= (1.8/22.50)*100

=8%

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The value of x in the given diagram is 12.

option C.

The value of x in the given diagram is calculated by apply the principle of intersecting chord theorem as shown below;

The intersecting chord theorem states that angle formed at the circumference is twice the angle at the tangent.

the angle at circumference = 360 - (6 + 20x)

tangent angle = 4x + 9

360 - (6 + 20x) = 2 (4x + 9)

360 - 6 - 20x = 8x + 18

-28x = -336

x = 336/28

x = 12

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Answer:

c

Step-by-step explanation:

Answer:  C

Step-by-step explanation:

A.  incorrect.  Acute is when all the angles in the triangle are less than 90, not including 90 ex. (35, 65,80)

B.  incorrect.  Obtuse is when you have 1 angle greater than 90, not including 90.  ex( 100,20, 60)

C. correct, Right is when you have have 1, 90 degree angle.  That symbol in the corner of the triangle means the lines are perpendicular, which means it forms  right angle or 90 degree angle

D, incorrect because C is true