i need help on my practice test

Answer:

The skateboard will be $60

Step-by-step explanation:

$75 x 0.2 = $15

$75 - $15 = $60

The given function is a exponential decay function

A function that decays exponentially is known as an exponential decay. As a result, it degrades quickly at first and more slowly as the value of the variable rises.

y=3(0.4)^x

The form of the general exponential decay is:

f(x) = A*(r)^x

Where A is the initial value

x is the variable,

r is the rate at which it decreases, where r must be a number between 0 and 1.

r= 0.4 which is a number between 0 and 1.

So, the given function is a  exponential decay function

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Answer:

5.083

Step-by-step explanation:

\(V=\frac{1}{3}Bh=(1/3)(1/2)(1.7)(3.9)(4.6)=5.083\)

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.

Given,

f(x)=(x-a)(x-b)

From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)

Let us take (2, 0)

(2-a)(2-b)=0

4-2b-2a+ab=0

(-1, 0)⇒(-1-a)(-1-b)=0

1+b+a+ab=0

(0, -2)⇒-2=(-a)(-b)

ab= -2

a= -2/b

4-2b-2a-2=0

-2a-2b+2=0

a+b-1=0

b²-2b+b-2=0

b(b-2)+1(b-2)=0

b= 2 or b= -1

a+2-1=0

a= -1

a-1-1=0

a=2

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

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5 fands are equivalent to 7.5 wands.

To determine how many wands are equivalent to 5 fands, we can use the given equivalences and set up a proportion.

We are given:

4 wands = 6 rands

24 rands = 8 fands

First, let's convert the given equivalences to a common unit. Since we want to find the equivalence in wands, we need to convert rands to wands.

From the first equivalence, we can rewrite it as:

1 wand = (6/4) rands

1 wand = (3/2) rands

Now, let's convert rands to fands using the second equivalence:

1 fand = (24/8) rands

1 fand = 3 rands

So, we have:

1 wand = (3/2) rands

1 fand = 3 rands

To find how many wands are equivalent to 5 fands, we set up a proportion:

1 wand / 1 fand = x wands / 5 fands

Cross-multiplying, we get:

x wands = (1 wand / 1 fand) * 5 fands

x wands = (3/2) * 5

x wands = 15/2

x wands = 7.5

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Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Answer:

g(2) = 1

Step-by-step explanation:

Substitute x = 2 into g(x) , that is

g(2) = - 2(2) + 5 = - 4 + 5 = 1

Answer: 2

Step-by-step explanation:

Rate of change is another way of saying slope. Since slope is rise/run, this functions slope is 2/1 or just 2

Answer:y=16

Step-by-step explanation:

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

The value of c so that cx-d=2x+4 has No Solution is c=2.

In the given question ,

we have

cx-d=2x+4       ....(i)

Given that d = 2 ,

We substitute the value of d=2 in equation (i)

On substituting we get

cx-2=2x+4

Simplifying further we get

cx=2x+4+2

cx=2x+6

cx-2x=6

x(c-2)=6

x=6/(c-2)

For x to have NO SOLUTION the denominator should be 0.

because when denominator becomes 0 the value becomes not defined , hence will have no solution.

Substituting the denominator = 0

we get c-2=0

c=2.

Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.

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The value of 4x - 3y when x=1/2 and y=-5 is -13. The given equation can be simplified by using the distributive property.

An mathematical equation is a statement that states that two expressions are equal. It is usually written using symbols such as +, -, x, and ÷.  They can be used to find unknown values, such as the area of a circle or the speed of a moving object.

The equation 4x - 3y = 0 can be rearranged to 4x = 3y. We can substitute 1/2 for x and -5 for y to determine the value of the equation. The equation becomes 4(1/2) (4) -3 (-5). This equation can be simplified by using the distributive property. The equation simplifies to 4/2 - 15. 4/2 simplifies to 2 and -15 simplifies to -15. The final answer is 2 - 15 = -13.

Therefore, the value of 4x - 3y when x=1/2 and y=-5 is -13.

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The value of 4x - 3y when x=1/2 and y=-5 is -13. The given equation can be simplified by using the distributive property.

An mathematical equation is a statement that states that two expressions are equal. It is usually written using symbols such as +, -, x, and ÷.  They can be used to find unknown values, such as the area of a circle or the speed of a moving object.

The equation 4x - 3y = 0 can be rearranged to 4x = 3y. We can substitute 1/2 for x and -5 for y to determine the value of the equation. The equation becomes 4(1/2) (4) -3 (-5). This equation can be simplified by using the distributive property. The equation simplifies to 4/2 - 15. 4/2 simplifies to 2 and -15 simplifies to -15. The final answer is 2 - 15 = -13.

Therefore, the value of 4x - 3y when x=1/2 and y=-5 is -13.

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Complete question -

Find the value of 4x - 3y when x=1/2 and y=-5.

The Correct answers are:

A. Fractional growth rate for the quantity (or decay rate)

B. Q = value of the exponentially growing (or decaying) quantity at time t=0

C. t = time

D. Qo = value of the quantity at time t

Correct answers for how the function is used for exponential growth and decay:

A. The function is used for exponential growth if r > 0.

B. The function is used for exponential decay if r < 0.

In the exponential function Q = Qo(1+r\()^t\)

Q: This represents the value of the exponentially growing or decaying quantity at a given time 't'. It is the dependent variable that we are trying to determine or measure.

Qo: This represents the initial value or starting value of the quantity at time t=0. It is the value of Q when t is zero.

r: This represents the fractional growth rate for the quantity (or decay rate if negative).

To understand how the function is used for exponential growth and decay:

Exponential Growth: If the value of 'r' is greater than 0, the function represents exponential growth. As 't' increases, the quantity Q increases at an accelerating rate.

The term (1+r) represents the growth factor, which is multiplied by the initial value Qo repeatedly as time progresses.

Exponential Decay: If the value of 'r' is less than 0, the function represents exponential decay. In this case, as 't' increases, the quantity Q decreases at a decelerating rate.

So, the Correct answers are:

A. Fractional growth rate for the quantity (or decay rate)

B. Q = value of the exponentially growing (or decaying) quantity at time t=0

C. t = time

D. Qo = value of the quantity at time t

Correct answers for how the function is used for exponential growth and decay:

A. The function is used for exponential growth if r > 0.

B. The function is used for exponential decay if r < 0.

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Answer:

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

102-56=abc/46

56 is bcd and be cuts it in half so cbe is 28 then add 46+28=74

Answer: median and interquartile range

Step-by-step explanation:

Answer:

36.5 Km

Step-by-step explanation:

6.75 *4 +9.5

27 +9.5 = 36.5

The number of kilometers that he has to run will be 16.25 kilometers.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Adam runs 6.75 kilometers every day for 4 days. On the fifth day, he runs 9.5 kilometers.

The number of kilometers that he has to run will be given by the summation. Then we have

⇒ 6.75 + 9.5

⇒ 16.25 kilometers

The number of kilometers that he has to run will be 16.25 kilometers.

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Answer:

89

Step-by-step explanation:

21+13+19+36=89

The probability of selecting all 3 blue balls is 0.050

C(6,3) = 6! / (3! * (6-3)!) = 20

There is only 1 way to select all 3 blue balls, since there are only 4 blue balls in the urn. Therefore, the probability of selecting all 3 blue balls is:

P(all blue) =\(\frac{1}{20}\)

Rounding this to three decimal places, we get:

P(all blue) ≈ 0.050

Probability is a branch of mathematics that deals with the study of the likelihood or chance of an event occurring. It is often used to make predictions or determine the chances of success or failure in various situations. Probability is expressed as a number between 0 and 1, where 0 represents an event that is impossible, and 1 represents an event that is certain to occur. The higher the probability of an event, the more likely it is to occur.

There are two types of probability: theoretical probability and experimental probability. Theoretical probability is based on mathematical calculations and is used to predict the likelihood of an event occurring in an ideal situation. Experimental probability, on the other hand, is based on actual observations and data collected from experiments or real-life situations.

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Answer:

D

Step-by-step explanation:

Because negative is smaller than fractions. and ABC, is all off.

Answer: I think the answer is D/ the last answer

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

Answer: Point C

Step-by-step explanation: I hope this helped! :D

Answer: b = 14.

Step-by-step explanation:

We have the function:

f(x) = x^2 + b*x - 21

The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:

f'(x) = 2*x + b = 0

then the vertex is at:

x = -b/2

Then the minimum of the function f(x) will be:

f(-b/2) = (-b/2)^2 + b*(-b/2) - 21

and we know that the minimum value is -70, then:

f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21

Now we need to solve this equation for b.

-70 = (b^2)/4 - (b^2)/2 - 21

-70 = -(b^2)/4 - 21

-70 + 21 = -(b^2)/4

49 = (b^2)/4

49*4 = b^2

196 = b^2

√196 = b = 14

The value of b is 14.

Answer:

Selling Price= $90.75

(i) Original Price= $90.75/0.75= $ 121.00

(ii) 1 Book= $90.75

10 Books= $90.75*10= $907.50

Total Amount Paid= $907.50*1.16 =$1052.70

To find the entry eij and its value in a matrix, you need to identify the matrix, scan its elements, locate the unique entry that is neither zero nor one, and then determine its value. The position of this entry will be represented as eij, and its value will be a number different from zero and one. its comes as e23

1. Identify the matrix: First, determine the matrix in which you are looking for the entry eij. The matrix could be given explicitly, or you might need to derive it from given information or context.

2. Scan the matrix: Go through each row and column of the matrix, checking the value of each element. Remember, you are looking for an entry whose value is not zero and not one.

3. Locate the unique entry: Once you find the entry that meets the criteria, note down its position in the matrix, represented as eij, where i is the row number and j is the column number. For example, if the unique entry is in the second row and third column, its position would be e23.

4. Determine its value: Record the value of the entry eij that you found in the matrix. This value should be neither zero nor one.

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70ft bc 3.5inchs x 20 = 70 and u gotta add the unit, so its 70 ft!

The range of the function f(x) = |x| is [0,∞)

The function is given as:

f(x) = |x|

The above is the parent equation of an absolute value function.

The above function cannot output any negative value.

This means that:

ƒ(x) >= 0

As an interval notation, we have:

[0,∞)

Hence, the range of the function f(x) = |x| is [0,∞)

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Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5