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The domain of the function is x ∈ [ -3, -∞) and range is {-3, -2, 1}.

The set of allowable inputs, or all the x-values in the (x, y) points decided by the relation, is known as the domain of a relation (and, by extension, a function). All the y-values in the (x, y) points determined by the relation make up the range of a relation (and, by extension, a function).

Graphs can be used as a second method to define the domain and range of functions. A graph's domain is the entire set of input values represented on the x-axis because the term "domain" refers to the set of potential input values. The possible output values are displayed on the y-axis and make up the range.

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The likelihood of randomly selecting a chocolate chip cookie from the batch would be likely. That is option A

Probability is defined as the possibility of an outcome of an event which may likely or unlikely occur.

The batch contains the following content:

The chocolate chip makes up 68% of the batch and this shows a higher quantity than other content. Therefore, likelihood of randomly selecting a chocolate chip cookie from the batch would be likely.

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The subtraction is equal to the mixed number below:

9 - (3 + 7/8) = 5 + 1/8

Here we want to solve the expression below:

9 - (3 + 7/8)

So we have a whole number and a mixed number.

First we can subtract the two whole numbers so we get:

9 - (3 + 7/8) = (9 - 3) - 7/8

                   = 6 - 7/8

Now, to have a mixed number the fraction needs to be positive, so we can write:

6 - 7/8 = 5 + 1 - 7/8

5 + 1 - 7/8 = 5 + 1/8

That is the answer.

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Answer:

m∠B = 83°

EF = 10

Step-by-step explanation:

Two triangles are similar if their corresponding angles are the same size.

Therefore if ΔABC ~ ΔDEF then:

Interior angles of a triangle sum to 180°:

⇒ m∠A + m∠B + m∠C = 180°

⇒ 24° + m∠B + 73° = 180°

⇒ m∠B + 97° = 180°

⇒ m∠B = 83°

In similar triangles, corresponding sides are always in the same ratio.

Therefore if ΔABC ~ ΔDEF then:

⇒ AB : DE = BC : EF = CA : FD

⇒ 12 : DE = 8 : EF = 16 : 20

Therefore, to find the length of EF:

[tex]\implies \sf 8 : EF = 16 : 20[/tex]

[tex]\implies \sf \dfrac{8}{EF} = \dfrac{16}{20}[/tex]

[tex]\implies \sf 8 \cdot 20= 16 \cdot EF[/tex]

[tex]\implies \sf160= 16 \cdot EF[/tex]

[tex]\implies \sf EF=\dfrac{160}{16}[/tex]

[tex]\implies \sf EF=10[/tex]

Answer:

96

Step-by-step explanation:

S_ = a/(1 - r), where a denotes the first term and r denotes the common ratio, is the formula for calculating the sum of an infinite geometric progression.

4 / 2 = 8 / 4 = 16 / 8 = 32 / 16 = 2.

Similarly,

1/2 / 1 = 1/4 / 1/2 = 1/8 / 1/4 = 1/16 / 1/8 = 1/2

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The number of years in the investment period, given the account balance and the simple interest, is C. 7 years.

To find the investment period, you can use the equation given on the account balance after a number of years, with " t " representing that number of years. And with simple interest,

With the formula being A = 5,000 x ( 1 + 0.025 t ), the investment period would be :

5, 875 = 5,000 x ( 1 + 0.025 t )

5, 875 = 5, 000 + 125 t

125 t = 5, 875 - 5, 000

125 t = 875

t = 875 / 125

t = 7 years

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Therefore , the solution to the given problem of triangle comes out to be x =20 degree and y = 20 degree.

In a plane, any three points can be joined to form triangles, that have 3 components and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

Given : 140 degree

Since it is a scalar triangle

two sides will have equal angle,

Thus ,

x=y

=> x+ x + 140 =180

=> 2x = 180-140

=> 2x =40

=> x =20

Therefore , the solution to the given problem of triangle comes out to be

x =20 degree and y = 20 degree.

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If b1,b2 are nonzero, the value of {b1}/{b2} will be 3/2.

If a is inversely proportional to b. Let a1,a2 be two nonzero values of a such that {a1}/{a2}={2}/{3}. Let the corresponding b values be b1,b2. If b1,b2 are nonzero

a = k *1/b

2/3 =k * 1/b1 /k * 1/b2 [k = constant cancels out]

2/3 =1/b1 * b2

2/3 = b2/b1

b1 =3 and

b2 =2. Therefore:

b1/b2 =3/2.

Another way of looking at it, is this:

When a1 =2, b1=1/2

When a2 =3, b2=1/3

So, when a1/a2 = 2/3, then:

b1/b2 =(1/2) / (1/3) =(1/2) x (3/1)

         =3/2

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The regular price of each pair of shoe is 36.75 dollars.

Gwen buys 3 identical pairs of shoes at store A. She pays $110.25 after the discount.

The regular price of the each pair of shoe can be calculated as follows:

Therefore,

3 pairs of shoe = 110.25 dollars

1 pair of shoe = ?

cross multiply

Therefore,

regular price of a pair of shoe = 110.25 / 3

regular price of a pair of shoe = 36.75

Therefore, the regular price is  36.75 dollars.

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On solving the provided question, we can say that - by prime factorization the factors of 5 are 5 and 1

A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.

The factors of 5 are -

5and 1

as 5 = 5 X 1

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Answer:

Step-by-step explanation:

Final answer: Lily received 10 postcards from Thailand.

Explanation: Number of postcards=50

Percentage of postcards from thailand= 16

Number of postcards from Thailand= 16/100*50= 8

Now, he received some postcards from Thailand. Let the number of postcards received from Thailand be x. Therefore,

Number of postcards=50+x

Number of postcards from Thailand= 8+x

We know that the percentage of postcards from Thailand now is 30.

Therefore,

30=(8+x/50+x)*100

0.3(50+x)=8+x

15+0.3x=8+x

0.7x=7

x=10

Therefore, he received 10 postcards from Thailand.

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Answer:

D. 10/3x^2+3x

Step-by-step explanation:

The product of the two rational expressions is:

(2/x+1) * (5/3x)

Multiply the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction:

(2*5) / (x+1) * (3x)

Which simplifies to:

10 / (x^2 + x)

So the correct answer is:

D. 10/3x^2+3x

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = [tex](4^{1.25} )^d[/tex]

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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The number of days until Stephen and John are on the same page would be 6 days

The page they would be on would be 64 pages

Assuming that the number of days can be denoted as x, the equation for the number of pages that Stephen has read in total is:

= 22 + 7 x

The number of pages that John has read in total is:

= 10 + 9 x

To find the number of pages, equate these:

22 + 7 x = 10 + 9x

22 - 10 = 9x - 7 x

12 = 2 x

x = 12 / 2

x = 6 days

The page they would be on is:

= 10 + 9 x

= 10 + 9 ( 6 )

= 64 pages

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a) The approximate slope of the line is; 2

b) The equation of the line is; y = 2x - 1

The tangent of the angle formed by a straight line will give us the slope of the line.

a) Now, we are told that the slope angle is 63.5°. Thus;

Slope of given line = tan 63.5°

Slope = 2

b) The formula for equation of a line in point slope form is;

y - y₁ = m(x - x₁)

where m is slope

The line passes through the point (2, 3). Thus;

Equation of line is;

y - 3 = 2(x - 2)

y - 3 = 2x - 4

y = 2x - 1

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The energy due to the angular velocity is given by the expression: [tex]E = 1/2 * I * w^2[/tex], where I is the moment of inertia of the cylinder.

Everyone uses inertia, although few people are familiar with it. Additionally, it touches on every thing or person at some time. It is also a state of repose or inaction.

Inertia at rest: Until and unless an external force greater than the inertial force is applied to the object, the inertia (opposing force) existent inside the item keeps the object at rest. A body in motion maintains its motion until and until an outside force (such brakes, friction, etc.) is applied to it.

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The right answer is B, i.e., option c. It might be a polynomial of sixth degree with a negative leading coefficient.

The study of mathematics covers numbers and associated variations, formulas and associated tissues, shapes with their locations, and locations where they might be found. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a "function." A function is a relationship between inputs and results where each input produces a single, unique result. Each function is assigned a domain and a codomain, or scope. Typically, the symbol f is used to represent functions (x). input consists of an x. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

The function's negative leading coefficient

sixth-degree polynomial are determined by the local maximum,

which is x = -4. (x)

The right answer is B, i.e., option c. It might be a polynomial of sixth degree with a negative leading coefficient.

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Answer:

0.73%

Step-by-step explanation:

First of all subtract the 2 values

9.62 − 9.55 = 0.07

then use this value and find the percentage from the original price which was 9.71 so 0.07/9.55  x 100

percentage increase is

0.73%

Therefore , the solution of the given problem of congruent comes out to be in this case we have two side equal and one side common so it is sss

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

SSS definitions. an autonomous government organization responsible for overseeing military conscription. Selective Service and Selective Service System are synonyms. independent agency kind. a federal agency that was established by a congressional act and is unrelated to the executive departments.

In this case we have two side equal and one side common so it is sss

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The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.Markup on selling price is 27 %.

The markup, expressed as a percentage of the cost, is the difference between the selling price and the product's cost.The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage.

Below, you'll find various possible formats for the markup formula or equation.

The selling price given as = $ 15

The cost per CD is = $ 11

The total profit = Selling price - Cost

Total profit per CD = $ 15 - $ 11

Total profit per CD = $ 4

The markup on selling price is calculated as - Total profit ÷ Selling price × 100

Markup on selling price = $ 4 ÷ $ 15 × 100 =26.6666 % or 27 %.

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Two hospitals for the town's residents represents a tragedy of the commons. Hence, option B is correct.

The phrase "tragedy of the commons" describes a situation in which people who have access to a shared resource, also known as a common, act selfishly and ultimately deplete the resource. British author William Forster Lloyd initially conceived of this economic theory in 1833.

The Tragedy of the Commons, first proposed in 1968 by American ecologist Garret Hardin, is a scenario in which common environmental resources are overused, abused, and eventually exhausted, bringing risks to all parties concerned.

Thus, option B is correct.

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The total volume of the toy is 497.4192cm³ with 340.3392 cm³ being the volume of the top solid and 157.08 cm³ being the volume of the bottom solid.

Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas.

While capacity can be measured in virtually any other unit, such as liters, gallons, pounds, etc., volume is measured in cubic units.

So, the volume of the cone:

V = πr²h/3

Now, invert values:
V = π5²*13/3

V = 340.3392 cm³

The similar, volume of a cylinder:

πr²h

Now, insert values as follows:

πr²h

π5²2

V = 157.08 cm³

Total volume: 340.3392 cm³+157.08 cm³ = 497.4192cm³

Therefore, the total volume of the toy is 497.4192cm³ with 340.3392 cm³ being the volume of the top solid and 157.08 cm³ being the volume of the bottom solid.

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Y-intercept linear 12 shows that the total cost will be $12.00 when the taxi travels 0 miles.

the connection between two variables that, when plotted on the coordinate plane, forms a straight line. The term "linear expression" refers to both the linear equation and the expression that depicts a linear relationship.

(2, 15), (5, 19.50), (7, 22.50), and (10, 27) are the coordinates (15, 34.50)

We will obtain a straight line if we plot the points on the XY coordinate system. The line crosses the Y axis at 12.00, as can be seen. As a result, the y-intercept is 12.00, and its coordinate is (0,12)

The y-intercept in this case is 12, which indicates that the total cost will be $12.00 even if the taxi travels 0 miles.

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The total number of beads will be 1128 beads.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.

In this case, Jennifer has 256 beads stella has 3 times more beads tiah had 104 beads.

The total number of beads will be:

= 256 + (256 × 3) + 104

= 256 + 768 + 104

= 1128

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Complete question

Jennifer has 256 beads stella has 3 times more beads tiah had 104 beads. What is the total number of beads?

Ticket #1  ║  Ticket #2  ║  Ticket #3  ║  Ticket #4  ║  Ticket #5

  $150               $300             $450              $600              $750

Step-by-step explanation:

The table shows tickets #1-5, but if you want to go up to tickets #6 and #7, then Ticket #6 would be $900, and Ticket #7 would be $1,050. Due to each ticket being equivalent to $150, you get your answer by adding 150 for each ticket or multiplying 150 × 7.

Jason can claim a total of 3 allowances.

The number of allowances that Jason can claim on his taxes depends on the number of dependents that he has and the deductions that he is eligible for.

As a married person with one child and taking care of his dad, Jason can claim the highest number of allowances which is three. He can claim one allowance for himself, one for his child and one for his dad. Therefore, Jason can claim a total of 3 allowances.

It's important to note that the number of allowances is based on personal financial situation and this should be confirmed through IRS guidelines or tax professional.

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How many 5-card hands are possible with a 52-card deck?

Answer:

Only 10, there will still be 2 cards left though.

Step-by-step explanation:

You're welcome.

The solution for the given decimal multiplication is 0.025.

To multiply two decimal numbers, first multiply the values without the decimal points.

The digits in the factors that follow the decimal point should now be added together.

Following that, the dot should be placed in the product so that it has the same number of digits as the total number of factors.

If there are more decimal places than digits in the number, place zeroes immediately after the dot.

If there are more decimal places present compared to digits in the product, fill the decimal places with zeroes immediately after the dot.

For the given question, multiply -5 * -5 = 25

Now the total digits after the decimal point in factors are 3.

But there are only 2 digits in 25.

So fill the decimal place with a zero.

Therefore the product of given decimal numbers is 0.025.

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