At 80°F, a certain insect chirps at a rate of 102 times per minute, and at 87°F, they chirp 116 times per minute. Write an equation in slope-intercept form that represents the situation.

Answer:

4: The factors had the same sign

Step-by-step explanation:

They are both positive (i think)

The annual interest rate is 1.2%

The principal amount = $425

The total interest her earned = $10.20

The final amount = 425 + 10.20

= $435.2

Time period = 2 years

The simple interest

A = P(1 + rt)

Where A is the final amount

P is principal amount

r is the interest rate

t is the time period

Substitute the values in the equation

435.2 = 425(1 + r×2)

1 + 2r = 435.2 / 425

Divide the terms

1 + 2r = 1.024

2r = 1.024 - 1

2r = 0.024

r = 0.024/2

Divide the terms

r = 0.012

Then the percentage will be

r = 1.2%

Hence, the annual interest rate is 1.2%

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x = 1

Step-by-step explanation:

[tex]{ \orange{ \tt{ - 4(x + 1) + 6x}}}[/tex]

Multiply -4 with (x+1) then the Eqⁿ becomes

[tex]{ \orange{ \tt{ - 4x - 4 + 6x}}}[/tex]

Step (1):- [tex]{ \red{ \sf{combine \: like \: terms}}}[/tex]

You can see the like terms i.e. -4x and 6x. Now, add this like terms.

[tex]{ \orange{ \tt{ - 4x + 6x - 4}}}[/tex]

[tex]{ = \orange{ \tt {2x - 4}}}[/tex]

Step (2):- [tex]{ \red{ \sf{ common \: factor}}}[/tex]

Take 2 as common in 2x-4 then,

[tex]{ \orange{ \tt{2(x - 2)}}}[/tex]

[tex]{ \orange{ \tt{2x - 2 = 0}}}[/tex]

[tex]{ \orange{ \tt{2x = 2}}}[/tex]

[tex]{ \blue{ \boxed{ \purple{ \sf{x = 1}}}}}[/tex]

If the chemistry club wants to spend at most $88.20 on renting the meeting room. The possible amounts of time for which they could rent the meeting room is 8.

Let t represent  the number of hours the meeting room is rented

Formulate an inequality and use the inequality to find the time

37 + 6.40t < 88.20

Combine like terms

6.40t < 88.20 - 37

6.40t < 51.20

Divide both side by 6.40t

t = 51.20 /6.40

t < 8

Therefore the time is 8.

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Answer:

(4.5 , 6)

Step-by-step explanation:

Finding the midpoints of segment when endpoints are given:

      To find the midpoints, add the x-coordinates and divide by 2 and add the y-coordinates and divide by 2.

(8 , 2) ⇒  x₁ = 8 ; y₁ = 2

 (1 , 10) ⇒ x₂ = 1 ; y₂ = 10

[tex]\sf Mipoint\left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)[/tex]

           [tex]\sf = \left(\dfrac{8+1}{2},\dfrac{2+10}{2}\right)\\\\\\=\left(\dfrac{9}{2},\dfrac{12}{2}\right)\\\\\\=(4.5,6)[/tex]

If the store's cost for the incentives was $103.The amount of  each incentive that were given away is: Free Rental  5, Box of popcorn 54.

Let Free Rental = r

Let Box of popcorn  = p

Total incentives:

r+p=59

r= 59-p Equation 1

r×1+p×2=103

r+2p=103 Equation 2

Put the value of r in (eq 2) from (eq 1)

r+2p=103  (eq 2)

59-p+2p=103

59+p=103

p=103-59

p=44

Put the value of p in (eq 1)

r=49-p...........(1)

r=49-44

r= 5

Free Rental = 5

Box of popcorn = 59 -5

Box of popcorn = 54

Therefore 5 and 54 incentive were given.

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Answer:

C. -10

Step-by-step explanation:

Using the average rate of change formula,

[tex]\frac{-37-(-17)}{6-4}=-10[/tex]

Answer:

3n+9

Step-by-step explanation:

The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lara writes the expression 1.5x + 2.75y + 3.

And, Maria writes the expression 3 + 1.5x + 2.75y.

Now,

Since, The commutative property states that;

a + b = b + a

So, Clearly, Here the commutative property used to prove the two expressions are equivalent, as;

⇒ 1.5x + 2.75y + 3 = 3 + 1.5x + 2.75y.

Thu, The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

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The reflection of the point (8,0) across the x-axis is (8, 0)

From the question, the point is given as:

Point = (8, 0)

Rewrite this point as

(x, y) = (8, 0)

The transformation is given as

Reflection across the x-axis

Mathematically, we have

(x, y) = (x, -y)

So,we have

Image = (8, 0)

Hence, the image of the reflection is (8, 0)

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Answer:

128 square feet

Step-by-step explanation:

2(4)^2 + 4 * 4 * 6 =

= 2 * 16 + 16 * 6 =

= 32 + 96 =

= 128 square feet

A quadrilateral that has 2 separate pairs of equal length sides but is NOT a parallelogram is called a KITE.

What is a quadrilateral?

A quadrilateral is any polygon that has four sides and four vertices. They include;

Properties

What is a kite?

A quadrilateral is a polygon with four sides, commonly known as a kite. Four points on the plane must be "independent" in order for the kite to have four corners. As a result, none of the three are parallel to one another.

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Answer:

Line W's equation is y= 1/2x - 8

Step-by-step explanation:

Answer:x=5, y=-4

Step-by-step explanation:2x+9y = -26

-3x-7y = 13

Multiply the first equation by 3

3(2x+9y = -26)

6x +27y = -78

Multiply the second equation by 2

2(-3x-7y = 13)

-6x -14y = 26

Add these two equations together

6x +27y = -78

-6x -14y = 26

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

13y = -52

Divide by 13

13y/13 = -52/13

y = -4

Now we need to find x

2x+9y = -26

2x+9(-4) = -26

2x-36=-26

Add 36 to each side

2x-36+36 = -26+36

2x=10

Divide by 2

2x/2 =10/2

x=5

The measure of angle KJL from the given figure is 84°.

Given that, 3(m∠LJM)=2(m∠KJL) and m∠KJM=140°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Here, m∠KJM=m∠LJM+m∠KJL

Now, (m∠LJM)=2/3 (m∠KJL)

140°= 2/3 (m∠KJL) + m∠KJL

⇒ [2(m∠KJL)+3(m∠KJL)]/3 = 140°

⇒ 5m∠KJL=420°

⇒ m∠KJL=420°/5

⇒ m∠KJL=84°

Hence, the measure of angle KJL from the given figure is 84°.

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The probability the mean of his sample will be between $45.00 and $65.00 is 0.6826.

Given:

A delivery driver has an average daily gasoline expense of $55.00. the standard deviation is $10.00. the owner takes a sample of 54 bills.

n = 54

standard error = 10/[tex]\sqrt{54}[/tex]

= 2.205

when x = 45,

z score = 45 - 55 / 10

= -10/10

= -1

probability at z = -1 is 0.3413

z score for x = 65

z = 65 - 55 / 10

= 10/10

= 1

probability at z = 1 is 0.3413

Total probability = 0.3413+0.3413

= 0.6826

Therefore the probability the mean of his sample will be between $45.00 and $65.00 is 0.6826.

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Answer:

A. 20 + 6L < 60

Step-by-step explanation:

It can't be B. or D. because 20L, not a thing in this problem. That leaves us with A. and C. being our only reasonable answers.

I chose A. because Jenny can't spend more than 60

The value of 2[tex]\sqrt{12xy^{2} }[/tex] is 4y[tex]\sqrt{3x}[/tex].

According to the question,

We have the following expression:

[tex]2\sqrt{12xy^{2} }[/tex]

Now, we know that the square root of [tex]y^{2}[/tex] is y.

And the square root of 12 is [tex]2\sqrt{3}[/tex].

(More to know: we have the perfect square root of numbers. For example, the perfect square root of 36 is 6 and the perfect square root of 100 is 10. In the same way, there are perfect cube roots of numbers. For example, the perfect square root of 27 is 3.)

So, by putting the values of these terms in the square root, we have the following expression:

2*y*2[tex]\sqrt{3x}[/tex]

4y[tex]\sqrt{3x}[/tex]

Hence, the value of the given expression after solution is 4y[tex]\sqrt{3x}[/tex].

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Answer: maybe

12

Step-by-step explanation:

the answer is 12

Step-by-step explanation:

for every x change by +1, y changes by -3.

so, the slope is

-3/1 = -3

Answer:

-3

Step-by-step explanation:

I hope it helps :]

The required solution will be -30 which is expressed as an integer.

To represent this in a general context, we may utilize functions that are referred to in terms of the number tossed.

We know that if the number he gets is an even number, he will get 5 times the number.

As a result, the function for when the integer x is even is f(x) = 5x.

If the number is an odd number, he will lose 10 times the number.

As a result, the function for when the integer x is odd is f(x)=-10x.

Finally, Joe tosses a 3, which is an odd integer, hence the function we will represent is f(x) = - 10x.

⇒ f(3) = -10(3) = -30

Thus, the required solution will be -30 which is expressed as an integer.

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Please give brainly if correct :)

Answer: -1/32

Step-by-step explanation:

Use the slope formula: y2-y1/x2-x1

Apply that:

9-8/-17-15 = 1/-32 = -1/32

The equation for profit in slope-intercept form is written as y = 26x - 584

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation is given as y = mx + c

In this problem, the constant or fixed value is the amount he spent on the equipment and the slope is the amount he charges per hour.

The equation of profit can be represented as y = 26x - 584

Where x = number of hours he worked.

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The value of the expression will be;

⇒ 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2 - [(2 + 10(−1) ÷ 2) + 1]

Now,

Solve the expression by using BODMAS rule as;

The expression is,

⇒ 2 - [(2 + 10(−1) ÷ 2) + 1]

⇒ 2 - [ (2 - 10 ÷ 2) + 1 ]

⇒ 2 - [(2 - 5) + 1 ]

⇒ 2 - [ - 3 + 1 ]

⇒ 2 - { - 2 ]

⇒ 2 + 2

⇒ 4

Thus, The value of the expression will be;

⇒ 4

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The equation of the transformed function is f(x)= -1/3[tex]\sqrt{2(x-6)}[/tex] -3.

Given that,

The f(x) = square root of X base function is transformed by a reflection in the x-axis, a vertical stretch by a factor of 3, a horizontal compression by a factor of 1/2, a vertical translation by a factor of 3, a vertical translation by a factor of 3 down, and then a horizontal translation by a factor of 6 right.

We have to verify the changed function's equation.

Take the function

f(x)=√x

The function reflection in the x-axis,

f(x)=-√x

The function is vertical stretch by a factor of 3.

f(x)= -1/3√x

The function is horizontal compression by a factor of 1/2.

f(x)= -1/3[tex]\sqrt{2x}[/tex]

The function is vertical translation by a factor of 3 down,

f(x)=  -1/3[tex]\sqrt{2x}[/tex] -3

The function is horizontal translation by a factor of 6 right.

f(x)= -1/3[tex]\sqrt{2(x-6)}[/tex] -3

Therefore, The equation of the transformed function is f(x)= -1/3[tex]\sqrt{2(x-6)}[/tex] -3.

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Answer:

Step-by-step explanation:

m just means measure. So the question is asking you what is the MEASURE of the ANGLE AEB.

Since angles AEB and CED are vertical angles, you can set the two expressions equal to each other and solve for X.

1) 3x + 54 = 7x - 30

2) 54 = 4x - 30

3) 84 = 4x

4) x = 21

3(21) + 54 = 117

m∠AEB = 117°

1. The first figure posses the SSS property.

2. The second figure posses the ASA property.

3. The third figure posses the hypotenuse length property.

4. The fourth figure posses the SAS property.

Given:

1. The first figure shows the SSS property.

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

hence the two triangles are congruent.

2. The second figure posses the ASA property.

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

hence the two triangles are congruent.

3. The third figure posses the hypotenuse length properety.

RHS criterion stands for right angle-hypotenuse-side congruence criterion. Under this criterion, two triangles are congruent, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle.

hence the two triangles are congruent.

4. The fourth figure posses the SAS property.

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

hence the two triangles are congruent.

Hence we get the required answer.

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The equivalent expression to 17g-2g will be (17-2)g.

According to the question,

We have the following expression:

17g-2g

Now, we can simplify this expression easily to find the equivalent expression.

So, our first step will be to take g as a common factor from both the terms. Now, we have the following expression:

(Note that the common factor means that the variable or the number taken as a common factor should be able to divide the terms given in the expression.)

(17-2)g

Now, this can be solved further because 2 can be subtracted from 17 because they both are integers without any variable.

Hence, the correct option is C.

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The equation which represents the population, P after t months is:

y = 1600(1+ 0.25)^t.

Given,

A population of beetles grows by 25% every month.

the beetle population starts with 1,600 beetles,

we are asked to determine the equation which represents the population, P after t months.

The equation for the population is:

Pf = Pi(1-r)^t

where pf = final value

pi = initial value

r = growth factor

t = time in years.

substitute the values in the equations.

let y represent the final population after t years.

r = 25%

convert percentage to decimal.

r = 0.25

y = 1600(1+ 0.25)^t

Hence we get the required answer.

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