The number of chirps per minutes made by a cricket is a function of the temperature (T). The function f(T) = 4(T-40). How many chirps would you except to hear when the temperature is 90?

To determine the next step, we need to slove the expression.

divide both sides by -1:

Square both sides of the equation:

The system of equations are y = 50 + 100x and y = 300 + 75x which is linear equations in two variables.

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The linear equation can be written in form of:

y = mx + c

From the question:

The equation for Little Learners Pre-School:

y = 50 + 100x

The equation for Growing Place Pre-School:

y = 300 + 75x

Thus, the system of equations are y = 50 + 100x and y = 300 + 75x which is linear equations in two variables.

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Answer:

4/5 or four fifths

Step-by-step explanation:

First you make 80% the fraction 80/100

Next you find the greatest common factor (GCF) which in each of them is 20

Finally you divide 80 and 100 by 20 and you get 4 and five now make them a fraction and you get 4/5

Answer:

Step-by-step explanation: 0.3

Answer:

Step-by-step explanation:

1. The answer is 0.3.

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

Answer:

E

Step-by-step explanation:

[tex]3 \leq x-2 \\ \\ x-2 \geq 3 \\ \\ x \geq 5[/tex]

Answer:

E

Step-by-step explanation:

if it is supposed to be more or equal to then it has to add 5 or more. It has to add 5 or more because the 2 is negative and 5-2 is 3 so it has to be at least 5

(x-2) (x-6)

x(x-6)-2(x-6)

x²-6x-2x-12

X²-4x-12

The data that represent a population is helpful when we have to find the information only about one field.

In the given question we have decide how well data represent a population.

The total group you want to make judgments about is referred to as a population. Data is a set of quantitive data which refers the population only in numbers. So the data is only helpful when we have to find the only in small amount and only one field.

Data collection from a large population is typically only simple when the population is small, approachable, and cooperative.

Example: Gathering information from a population

A high school administrator is looking for trends in the final exam results of all graduating seniors. They use the entire population dataset since they are only interested in applying their findings to the graduating seniors in this high school. So the data is useful.

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Point slope form: y - 160 = 8(x-15)

Slope intercept form: y = 8x + 40

Explanation:

To write an equation of the line in point-slope form that passes through the given points in the table, we need to pick any two of the points in the table for x and y axis and find the changes of x and y

Points chosen: (20, 200) and (15, 160)

m = slope = (change in y)/ (change in x)

Point-slope form:

The equation in the slope intercept form:

Hence, Point slope form: y - 160 = 8(x-15)

Slope intercept form: y = 8x + 40

Answer:

6x+3=5x-8

6x-5x= -8-3(match the like terms)

x= -11

The equation that represents the table, in slope-intercept form, is: y = -2x + 11.

The slope-intercept form of an equation that represents a line is expressed as y = mx + b, where:

Using two pairs of values from the table, (6, -1) and (9, -7):

Slope (m) = (-7 -(-1)) / (9 - 6)

Slope (m) = -6/3

Slope (m) = -2.

Find the y-intercept, b, by substituting m = -2 and (x, y) = (6, -1) into y = mx + b:

-1 = -2(6) + b

-1 = -12 + b

-1 + 12 = b

b = 11

To write the equation, substitute m = -2 and b = 11 into y = mx + b:

y = -2x + 11

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The value of the expression is equal to 6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is [3(6-14)]/(-4). The value of the expression will be calculated below,

E = [3(6-14)]/(-4).

Simply the expression by using mathematical operations,

E = [3( -8)]/(-4).

E = 3 x 2

E = 6

Therefore, the value of the expression is equal to 6.

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The width of the scale model given a height of 10 inches as in the task content is; 3.75 inches.

It follows from the task content that the width of the scale model is to be determined given a height of 10 inches.

According to the design, the lawnmower measures; 8 feet in height, 3 feet width, and 7 feet in length.

Hence, since 8 feet in height corresponds to 10 inches on the scale, the width on the scale can be determined by proportion as;

8/10 = 3/x

x = ( 10 × 3 ) / 8

x = 30/8

x = 3.75 inches.

Therefore, the width on the scale as required is; 3.75 inches.

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Let's start by calculating the value for f(-1).

For this we go to the graph and count the number of squares to the left of the axis to be at -1. In this case f(-1) would be 5.

Now let's calculate f(4)

For this case the value of f(4) would be 0.

Similarly we calculate f(-3). As you can see in the graph it would be 6.

The last scenario would be for when f(x) = 9, we look for that value on the curve and realize that it corresponds to x = 1.

The equivalent expression as a base of 2¹⁰ is (2¹⁰)⁴

The mathematical statement in the question implies that

We rewrite 2^40 as a power in the base 2^10

Start by expressing the given number properly

So, we have

2⁴⁰

Express 40 as the product of 10 and 4

So, we have

2⁴⁰ = 2¹⁰ ˣ ⁴

Express as exponents

So, we have the following representation

2⁴⁰ = (2¹⁰)⁴

Hence, the new expression is (2¹⁰)⁴

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Answer: $456

Step-by-step explanation: They will both have the same amount of money at 7 months

Solution

- 40% of peole would vote for the mMath teacher out f the 750 people. This implies that the number of people tahat would vote for him is

- We are also told that there is a margin of error of 4%. This implies that the number of people that vote for the math teacher is either 4% more or 4% less than the 300 people

- 4% margin of error can be gotten as follows:

- Thus, the number of people that vote for him is 300 give or take 30 people

y=10x-5 is the slope-intercept form

y-intercept= -5,

slope m= 10,

The slope-intercept formula y = mx + b, where m is the slope and b is the intercept.

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line.

the slope of the line to be examined and the point given is also the y-intercept (0, b)

by putting the given information in the question we get,

y=10x+(-5),

therefore,y=10x-5 is the slope-intercept form

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The fraction form of 8 1/6 is 49/8 as the definition of fraction says, "An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided".

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction merely informs us of the number of parts that make up the whole. The slash that is written between the two numbers identifies a fraction. The numerator is the highest number, and the denominator is the lowest number. 1/2, for instance, is a fraction.

Here,

8 1/6=(6*8+1)/8

=49/8

According to the definition of a fraction, which states that it is "a number represented mathematically as a quotient, where the numerator and denominator are divided," the fraction form of 8 1/6 is 49/8.

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Torren will have $5169 in the account at the beginning of year 8. Option A is correct.

The following formula can be used to calculate the compound interest.

[tex]A(n) = P(1 + r)^{(t- 1)}[/tex]

where,

A(n) denotes the final sum.

P stands for the initial deposit.

r denotes the interest rate (in decimal).

t denotes the time (in year).

The compound interest will be C.I = A - P in this case.

We are given in the question;

The account's initial deposit is $4500, and the term is 8 years.

As a result,

A = 4500 and

t = 8

As we all know, interest is compounded once a year.

We shall divide the interest rate in percentage form by 100 to convert it to decimal form.

r = 2% = 2/100

⇒r = 0.02

The given equation is

[tex]A(n) = 4500(1 + 0.02)^{(n- 1)}[/tex]

Substituting the given values in the above equation, we will get,

[tex]A(n) = 4500(1 + 0.02)^{(8- 1)}[/tex]

[tex]A(n) = 4500(1 + 0.02)^{7}[/tex]

[tex]A(n) = 4500 \times 1.14868[/tex]

[tex]A(n) = 5169.06[/tex]

[tex]A(n) = 5169[/tex]

Thus, Torren will have $5169 in the account at the beginning of year 8. Option A is correct.

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The original statement is same as third statment and value of y is 27.

Writing the equation form for each statement -

Let the variable be represented as y.

1/3(30 - y) = 3/4

1/3×30 - y = 3/4

1/3×y - 30 = 3/4

1/3(30 - y) = 3/4

1/3(y - 30) = 3/4

Based on the interpretation of all the sentences in equation form, we find the statement 3 to be same as original statement. Solving the equation to get the value of y.

1/3(30 - y) = 3/4

10 - y/3 = 3/4

10 = 3/4 + y/3

10 = (3×4 + y×4)/12

10×12 = 12 + 4y

4y + 12 = 120

4y = 120 - 12

4y = 108

y = 27

Hence, the value of y is 27.

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Answer:

the answer is A.

1 over 3 (30 - y) = 3 over 4

Answer:

(a.):  Company A:  3x + 30; Company B:  2x+85

(b.) Company B is cheaper as it would cost $245 for Mia to drive 80 miles

Step-by-step explanation:

The equations we need are linear and we can think of them as such.  x represents the slope (cost per mile) and the initial fee represents our y-intercept or constant (amount paid before Mia ever drives)

(a.):  Thus, for company A, we have y = 3x + 30 and for company B we have y = 2x + 85.

(b.) Since we know that Mia needs to drive 80 miles, we plug this into x for both companies and find which one is lower

Company A:  3(80) + 30 = $270

Company B: 2(80) + 85 = $245

Company B's price would be lower for Mia's needs.

Answer: 2.5, 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3[/tex]

We can see from Steves rate of change that it was steeper than Peters. That means that it took more minutes per kilometer for each kilometer. It is easier to compare when seeing it on the graph. The steeper the line, the steeper the rate of change.

The missing parts of proof are:

In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector. By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.

Angle Bisector's Qualities:

Given,

KM is the bisector of ∠JKL

1. As per the definition of bisector, ∠JKM≅∠LKM

Given,

∠KXM and ∠KYM are right angles

∠KXM≅∠KYM because all right angles are congruent

2. Because of Reflexive Property of congruence, MK≅MK

3. Given △KXM≅△KYM, AAS congruence postulate

4. Given MX≅MY, this is according to CPCTE property

5. Given, Point M is equidistant from the sides of ∠JKL, as per the definition of equidistant

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Answer:

0.8 repeated

Step-by-step explanation:

Because it is

We will have the following:

Here it is the Venn diagram for both; the statement is not valid, since they fall in different categories.

Answer:

the horizontal lines for #9 and those slanted ones for #10

Step-by-step explanation:

parallel lines are lines that never intercept. if these following lines continue infinetly they will never touch