PLS HELP, IN A HURRY. Would Appreciate!!!!!

a. Using the equation of the relationship, the temperature outdoor would be 67.5 °F.

b. 140 chirps in a minute.

c. 60 chirps at that temperature is expected.

d. The graph for the relationship is given below.

e. 1/4 is the unit rate or slope = in 1/4°F per chirp.

f. 40 represents the starting or initial temperature.

The graph of a linear equation, y = mx + b, will have a slope value of m, and an initial value or y-intercept of b, which is the point on the y-axis that the line intercepts.

Given the equation, f = ¼c + 40, where:

f = temperature in degrees Fahrenheit

c = number of chirps

1/4 represents the temperature in °F per chirp

40 represents the initial temperature

a. Substitute c = 110 into the equation, f = ¼c + 40:

f = ¼(110) + 40

f = 67.5

The outdoor temperature is predicted to be 67.5 °F.

b. Substitute f = 75 into the equation, f = ¼c + 40:

75 = ¼c + 40

75 - 40 = ¼c

35 = 1/4c

4(35) = c

c = 140

140 chirps would be heard in a minute.

c. Substitute f = 55 into the equation, f = ¼c + 40:

55 = ¼c + 40

55 - 40 = ¼c

15 = c/4

4(15) = c

c = 60

Expect to hear 60 chirps at that temperature.

d. The graph for f = ¼c + 40 is in the attachment.

e. 1/4 is the unit rate or slope, which is the temperature in °F per chirp.

f. 40 tells us about the equation of the relationship that the initial temperature where we can start expecting the crickets to chirp starts from 40 °F.

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Answer:

65

Step-by-step explanation:

First find the area of the triangles

a*b/2 is the equation for triangles

5*6/2 is 15

multiply 15*2 because there are two triangles

15*2=30

Now find the area of the rectangle

5*7=35

Then add.

30+35=65

:)

Answer:

3 months

Step-by-step explanation:

120 + 40m = 180 + 20m

Collect like terms

40m - 20m = 180 - 120

20m = 60

Divide

m = 60/20

m = 3

It will take them 3 months before Jaclyn and Pedro have saved the same amount of money.

We are asked to determine the arc length of HJ. To do that we will use the following formula:

Given two secant lines that intercept outside a circle as follows:

We have the following relationship:

Substituting the values we get:

Now, we multiply both sides by 2:

Now, we subtract 96 from both sides:

Solving the operations:

Now, we multiply both sides by -1:

Therefore, the measure of the arc length of HJ is 38.

Answer:

Step-by-step explanation:

Let's illustrate the situation in a diagram to understand.

In a right triangle if the altitude drawn divides the hypotenuse into two segments, then the length of the altitude is the geometric mean of the lengths of the two segments.

Therefore,

1) Considering that the slant height of those pyramids is 4 and 6, we can find the scale factor by dividing their slant heights:

So we can state that the bigger pyramid is larger than the 1st pyramid by a scale factor of 1.5.

2) For the Volume of the Pyramid, we can write out the formula below:

Since the scale factor is 1.5 Then we can state that

the Volume of the smaller one is by similarity 1.5 or 3/2 times smaller than the larger one.

3) Hence, the answers are:

1.k=1.5

2. 32 m³

The statement as number expression is given by the total number of points are 55.

What is Mathematical expression?

An expression is a finite combination of symbol and numbers depending on the context

We are given that A person has lost a card game and he is counting the points left in his hand.

His cards were five fours and five sevens

And we have to write this statement as number expression

Now there are five fours that is [tex]5*4=20 points[/tex]

And five sevens that is [tex]5*7=35 points[/tex]

Hence the total number of points are 20+35=55 points.

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The balcony can hold 25 people of 160-pound weight.

According to the question,

We have the following information:

The maximum weight balcony can hold = 1816 kg

Weight of 1 person = 160 pound

Now, we will convert this weight into kilogram so that both the measurements have same units.

1 pound = 0.454 kg

160 pound = 160*0.454 kg

160 pound = 72.64 kg

Now, let's take the number of people balcony can hold to be x.

So, we have:

72.64x = 1816

x = 1816/72.64

x = 25

Hence, the number of people the given balcony can hold is 25.

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A graph which represents the reflection of this figure across the x-axis is: graph 5.

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:

(x, y) → (x, -y) = (3, 1) → (3, -1).

(x, y) → (x, -y) = (4, 0) → (4, 0).

(x, y) → (x, -y) = (3, -1) → (3, 1).

(x, y) → (x, -y) = (4, -2) → (4, 2).

(x, y) → (x, -y) = (2, -4) → (2, 4).

(x, y) → (x, -y) = (0, -2) → (0, 2).

In conclusion, a reflection across the x-axis would transform the geometric figure to that shown in the graph attached in the image below.

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Answer:

The equation of the line is;

Explanation:

Given that

the slope of a line is -2 and it passes through the point (4,-5).

Applying the slope-intercept form of equation;

Substituting the values of the slope and coordinates;

Therefore, the equation of the line is;

Answer:

2x + y = 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (4, - 5 ) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = - 2x + 3 ← in slope- intercept form

add 2x to both sides

2x + y = 3 ← equation in standard form

Answer:

The first 3 answers

Step-by-step explanation:

∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.

∠7 and ∠8 = 180 means that is a straight line.

∠4 and ∠5 are alternate interior angles which make them congruent.

That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.

Answer: 1.6 or 2

Step-by-step explanation:

If you are rounding it to the nearest tenths then the answer is 1.6 but if you are rounding to the nearest whole number then its 2.

Answer:8r+7-6r-5Combine the like terms=8r-6r+7-5Thenafter, simplify=2r+2

good luck

Step-by-step explanation:

The expression that represents the Adi's height in inches is n - 5.

Expression:

An expression is the mathematical statement which consists of numbers, variables and an arithmetic operation like addition, subtraction and division etc. between them.

Given,

Adi is 5 inches short than Sunee. Sunee is n inches tall.

Here we need to find the expression for Adi's height in inches.

Through the given question we know that,

Sunee is n inches tall.

And Adi is 5 inches lesser than Sunee.

Here we have the word short or less, that represents that we have to reduce that amount from the total.

Therefore, the expression for Adi's height in inches is,

=> n - 5.

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Answer: 52

Step-by-step explanation:

a^2+b^2=c^2

x is the hypotenuse (c). You can find the hypotenuse by finding the opposite of the right angle

48^2+20^2=2304+400=2704

√2704=52

x=52

From this class, the teacher wishes to selected six students. 2,2,2,2,2,3 different ways are there to selected from this class of 13 students.

Given that,

From this class, the teacher wishes to selected six students. The first chosen student will assist with media, the second will assist with pledges and flags, the third will sharpen pencils, the fourth will take attendance, the fifth will wipe the board, and the sixth will assist with the calendar.

We have to find how many different ways are there to selected from this class of 13 students.

For 13 students,

We divide like 2,2,2,2,2,3.

The first 2 student will be a media helper,

The second 2 students will be a pledge/flag helper,

The third 2 students will be a pencil sharpener,

The fourth 3 students will be attendance taker,

The fifth 2 students will be a board eraser and

The sixth 2 students will be a calendar helper.

Therefore, This many ways we can selected the students.

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Answer:

245

Step-by-step explanation:

6 - 42

35 - x

cross multiply

6x = 35 × 42

6x = 1470

x = 1470 ÷ 6

x = 245

The probability in a random 5-letter string that the letters A and B will be next to each other is 0.4

For A and B to be next to each other in the string of letters, consider the AB combination as a single letter. Then there are 4 letters AB, C, D, E.

There are 4! number of ways to arrange these 4 letters.

4!= 24 ways

We know AB can be arranged in 2 ways ( AB or BA)

Thus there are 2*4! = 2 * 24 = 48 ways of arranging the letters such that AB are next to each other in the random Five-letter string

The total number of letters in the set is 5 and hence the total number of ways the letters can be arranged without A and B necessarily being next to each other  is 5!= 120

The probability that in the random five-letter string( in which each letter appears only once with all such strings equally likely) the letters A and B are next to each other= 48/120 = 0.4

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Given:

The function is:

Find-:

The value of "x"

Explanation-:

The value of x is:

Solve for x is:

The value of "x" is:

Another value of "x" is:

So, the answer is:

By using Permutation, the total number of ways in which we can choose a starting lineup consisting of a quarterback, a running back, an offensive lineman, and a wide receiver is 1512.

Permutation is defined as the arrangement of items in a specific or a particular order.

Since there are 3 choices for the position of offensive lineman, and for the next position there are 9 choices, similarly 8 choices for the next position  and 7 choices remain for the last position.

So we get, 3x9x8x7 =1512,  by the concept of Permutation.

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Answer: 642 Digits have been used to print 250 Pages

Step-by-step explanation:

A book has 250 pages

1 - 250  Numbers will be used

Single Digit number  -  9   ( 1- 9)

Two Digit Numbers   90  ( 10 - 99)

Three Digit Numbers  151  ( 100 - 250)

Number Of Digits used  = 9 * 1  + 90 * 2  + 151 * 3

= 9 + 180 + 453

= 642

642 Digits have  been used to print 250 Pages

DE will be equal to AB, then DE=8

The volume of the cube with the shortest possible side lengths is 216 cubic inches.

If a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths, then the side lengths of the cube must be equal to the diameter of the sphere.

side length of cube = diameter of sphere

side length of cube = 2 x radius of sphere

side length of cube = 2 x 3 inches

side length of cube = 6 inches

The volume of the cube can be calculated using the formula below.

V = s³

where V = volume and s = side length of cube

V = (6 inches)³

V = 216 cubic inches

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The ball would bounce to a height of 0.92 feet at the 7th bounce

The given parameters are

Initial height = 3.75 feet

Rate of bounce = 79%

The height of the ball after n-th bounce is represented as

H(n) = A * rⁿ⁻¹

Where

In this case, we have

n = 7

So, we have

H(7) = 3.75 * (79%)⁷⁻¹

Evaluate the difference

H(7) = 3.75 * (79%)⁶

Evaluate the product

H(7) = 0.92

Hence, the height of the 7th bounce of the ball is 0.92 feet

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Answer: the answer is -4280

Step-by-step explanation:

Scientific notation: 10¹

Integer: 10

The average radius of the sun is 10 times greater than the average

The average radius of Jupiter:

The average radius of the sun:

The ratio of the two Radii

The average radius of the sun is 10 times greater than the average