Give the domain and range of each relation below. (help please)
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Answer: 47/30

Step-by-step explanation:

1) Find the common denominator

2/3 + 9/10

10/10 * 2/3 + 9/10 * 3/3

2) Add the numerator

20/30 + 27/30

47/30

When f(x) = 20

Then

5x + 10 = 20

Therefore

5x=20-10=10

x = 10 / 5 = 2

x= 2

If Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours

Number of hours the Devon record the reality shows = 4 hours

she records comedy shows for 3/8 of that amount of time

The number of hours taken to record the comedy show = (3/8)×Number of hours the Devon record the reality shows

Substitute the values in the equation

= (3/8)×4

= 12/8

= 1.5 hours

Hence, if Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours

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The Triangles are not similar as they do not predict any similar triangle properties that is SSS, SAS , AA properties.

Two triangles are similar if they meet one of the following criteria.

AA: Two pairs of corresponding angles are equal.

Example: Let Two triangles with Two angles of the first triangle are congruent to two angles of the second triangle.

SSS: Three pairs of corresponding sides are proportional.

Example: Let Two triangles with The first triangle has sides of length a, b, and c. The second triangle has corresponding sides of length k times a, k times b, and k times c.

SAS: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Example: Let Two triangles with both have one congruent angle. In the first triangle, the congruent angle is between sides of length a and b. In the second triangle, the congruent angle is between corresponding sides of length k times a and k times b.

So, We have given that

Two Triangles namely ABC and DEF

So, For ΔABC,

∠A = 105°, ∠C=34°, ∠B= 180-(105+34)=180-139=41°

Now Similarly for ΔDEF,

∠E = 105°, ∠D=43°, ∠F= 180-(105+43)=180-148=32°.

So, For both triangles

∠A~∠E but no other similar property found between the both Triangle.

So, we can conclude that the ΔABC and ΔDEF are not similar as they don't show any similar triangle properties.

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The approximate perimeter of the entire shape is 50.27 inches.

The perimeter of a figure is the sum of the whole sides of the figure.

Therefore, the perimeter of the entire shape can be calculated as follows:

The shape is made of three sides of a square and half a circle.

Therefore,

circumference of the semi circle = πr

r = 11 / 2 = 5.5 inches

circumference of the semi circle = 5.5π

Hence,

perimeter of the shape = 11 + 11 + 11 + 5.5π

perimeter of the shape = 33 + 5.5(3.14)

perimeter of the shape = 33 + 17.27

Therefore,

perimeter of the shape = 50.27 inches

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The remainder when r is divided by 11 is 6.

Remainder is the amount left after dividing a number by another. After dividing a number with another, it will result to an integer and a remainder, which is less than the divisor.

Divide the number of seconds in December by the number of seconds in November and get the remainder, r.

number of seconds in December ÷ number of seconds in November

31days(24h/day)(60min/h)(60s/min) ÷ 30days(24h/day)(60min/h)(60s/min)

= 2678400 s ÷ 2592000 s

= 1 r. 86400

r = 86400

Divide r by 11 and get the remainder.

86400 ÷ 11 = 7854 r. 6

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Answer:

answer is D= 0.07

Step-by-step explanation:

The equation:

0.076 - 0.011

By rounding to the nearest hundredth

0.076 = 0.08

0.011 = 0.01

=0.08-0.01

=0.07

After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours,10 - 0.75t of gas will still be present.

Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To solve the equation properly and accurately, this rule is applied.

Naomi is traveling by car a long distance. She has 10 gallons of gas in her automobile right now. Her car consumes 0.75 of gas per hour that she is on the road.

After four hours of driving, the amount of gas in the tank will be

⇒ 0.75 x 4

= 3 gallons

After t hours, the amount of gas remaining will be

⇒ 10 - 0.75t

After 4 hours of driving, there will be 3 gallons of gas left in the tank. After t hours, there will be 10 - 0.75t of gas left.

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In linear equation,$7185.33 is the total benefits.

What are a definition and an example of a linear equation?

the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +          

                                                           $466.76 + $541.06

                                                          = $7185.33

the rate of benefits of Juan Fuentes =  $1,287.60

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Yes the UPC code 0-32281-69425-1 valid. Because a string of unique black bars, and the unique 12-digit number beneath it.

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Answer: c)12.2

Step-by-step explanation:

let me show you how to answer this question

1. add all the numbers 11+11.5+12+14+12.5=61

2. then divide 61 by how many numbers we had to add in this case is 5 (the equal number doesn't count.) 61÷5=12.2

Answer:

Mean= Sum of all values ÷ Number of values

so...

the answer is 14.6

hope you are all clear with mean now just use the formula everytime when calculating MEAN

Answer:

I think the answer is (3,10) sorry if I got this wrong!

Step-by-step explanation:

The balance in the account at the end of two years is $864.

The interest earned by Suki during that time is $64.

The initial principal amount "P" is $800.

The interest rate "R" is 4%.

The interest is compounded quarterly.

This means the value of "n" is 4.

The time period for which the interest is earned is 2 years.

The formula for compound interest is :

A = P*[1 + (R/n)]^(n*t)

A = 800*[1 + (0.04/4)]^(4*2)

A = 800*[1 + 0.01]^(4*2)

A = 800*[1.01]^(8)

A = 800*1.08

A = 864

The total interest earned is the final amount minus the principal amount.

The total interest earned is $864 - $800.

The total interest earned is $64.

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Answer:

27,132 tissues

Step-by-step explanation:

if it produces 3,876 tissues a day, and a week has 7 days, then the answer would  be 3,876 x 7=27,132 tissues

Answer:

27132 tissues

Step-by-step explanation:

everyday 3876 tussues are made

so the equation would be 3876×7 to get how many tissues are made in 7 days

The value of "a" and "b" is  14 and -2,respectively.

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The perimeter of rectangle is ( 19.2 d - 25 f ) cm

A rectangle's perimeter (P) is the sum of the lengths of its four sides. A rectangle has two equal lengths and two equal widths since its opposite sides are equal. The following is the formula for calculating a rectangle's perimeter: The formula for perimeter is length + length + width + width. P = l + l + w + w.

Given the length of the rectangle = (2.4 d - 7.6f) cm

width of the rectangle = (7.2 d - 4.9 f ) cm

The perimeter of rectangle = 2 ( length + width )

2 ( 2.4 d - 7.6f + 7.2 d - 4.9 f )

2 (9.6 d - 12.5 f )

( 19.2 d - 25 f ) cm

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Yes is (-1,0) a solution of the system of equations.

A linear equation is one that has a maximum degree of 1. No variable in a linear equation has an exponent greater than 1, thus. A linear equation's graph is always a straight line.

Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.

Given

y=-4x-4...(i)

y=4(x+1)

=> y =4x + 4....(ii)

Adding (i) and (ii) we get

y= 0

Now putting y = 0 in Equation (i)

we get x = -1

Therefore (-1,0) is the solution of the two given equations.

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ANSWER

EXPLANATION

We want to find the inverse of the function given:

f(x) = 12x - 3

First, replace f(x) with y:

y = 12x - 3

Now, make x the subject of the function:

y + 3 = 12x

Now, replace x with f-1(x) and y with x:

That is the inverse function.

The rule for the function g(x) is (2x + 5)² - 5.

We are given a function f(x). The function f(x) is defined as given below :

f(x) = (2x + 1)² - 4

A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.

We first need to do a translation with 2 units left.

The translation is given by f(x + 2).

f(x + 2) = (2x + 5)² - 4

We now need to do a translation with 1 unit downwards.

The translation is given by f(x + 2) - 1.

f(x + 2) - 1 = (2x + 5)² - 4 - 1

f(x + 2) - 1 = (2x + 5)² - 5

The definition of the function is given below :

g(x) = (2x + 5)² - 5

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think of all the things s you like

The linear independence of vector sets forms the basis of the space of polynomials of third degree.

In vector space theory, a collection of matrices is said to be heavily dependent if there is a nontrivial concatenation of the vectors that equal the zero vector. If no such linear combination exists, the vectors are said to be linearly independent. These concepts are crucial to the concept of dimension.

The maximum number of nonzero vectors determines whether the dimensions of a vector space are finite or infinite. The capacity to recognize whether a subset of columns in a vector space is dependent, as well as the concept of linear dependence, are crucial for determining a vector space's dimensionality.

If the same vector appears twice in a vector sequence, it must be dependent. The linear dependency of a vector series is independent of the order of the terms. A restricted collection of vectors can have linear independence if the sequence obtained by sorting a finite number of lines is linearly independent. In other words, the following outcome is frequently useful.

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Answer:

He does not have enough for fencing the garden

Step-by-step explanation:

The garden is in the shape of a rectangle

The perimeter of a rectangle of length L and width W is given by
P = 2 (L + W)

Since we are given L = 12.64 ft  and W = 14 ft, the perimeter of the garden is
2 ( 12.64 + 14) = 2 (26.64) = 53.28 feet

Since Samuel only has 50 feet of fencing, there is not enough to fence. He is short by 3.28 feet

Answer:

In 2022 the population will be 78196

Step-by-step explanation:

Nf - number of foxes = ?
No - number of foxes in 2000 = 21700
p - growth rate = 6%
n - numebr of years = 22

[tex]N_{f}=N_{o} * (1+\frac{p}{100})^{n}[/tex]

[tex]N_{f}=21700 * (1+\frac{6}{100})^{22}[/tex]

[tex]N_{f} = 78196 foxes[/tex]

Answer: Your answer would be C: f¹(x) = x³ + 11

Answer:

The surface area of one face of the cube is 100 square centimeters.

Step-by-step explanation:

From the given diagram, we can conclude that a cube has 6 faces. To get the surface area of one face, we take the total surface area and divide it by 6, as following:

This way, we can conclude that the surface area of one face of the cube is 100 square centimeters.

Answer   x=-1  and y = 7

Explanation:

Answer:

4x and 3z are the only 2 terms in this esxpression.