1 poll
4-Jeremy drove 150 miles in three hours. At that rate, how far would he
drive in eight hours? *

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

Answer:

the answer is from the given replacement is 4

Answer:

Area: 378.5

Perimeter: 71.4

Step-by-step explanation:

Area = 3 square + 2 semicircle

A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5

perimeter = 2 square/2 + 2circle/2

P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

There are 6 bundles are used to make one block of cardboard.

To determine how many bundles are used to make one block of cardboard, we first need to know how many bundles are stacked and tried together to reach a height of 1.2 metres.

Let's assume that each bundle is 0.2 metres high, so it would take six bundles stacked and tried together to make a block that is 1.2 metres high.

Therefore, we can conclude that six bundles are used to make one block of cardboard.

It's important to note that this calculation may vary depending on the dimensions of the bundles and blocks used in the cardboard manufacturing process. However, based on the information provided in the question,

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Answer:

Sale Price = 31$

Step-by-step explanation:

Sale price= originally price × (1- sale percentage /100)

=124× (1- 75/100)

=124× 0.25

=31 $

Answer:

Explanation:

With every increase in side, there is an increase in dots

=============

Option B has 4 sides and 4 dots.

Answer: $50

Step-by-step explanation:

\(Expression \ $= 8n+2$ \\\text{As \ there \ are \ 6 \ movie \ tickets \ so \ we \ will \ substitute \ $n$ with \ 6} \\\\$$\begin{aligned}&8(6)+2 \\&48+2=50\end{aligned}$$\)

Therefore, 6 movie tickets will cost $50

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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Answer:

B Trapezoid

Step-by-step explanation:

A trapezoid has 2 parallel sides the top and bottom but also the sides.

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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Answer:

285

Step-by-step explanation:

570/2=285

true or false means theres a 1/2 possibility you guess right thats why you divide by 2

The mean number of correct answers to 570 true or false questions will be 285.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

For the true or false, the probability of getting correct is given as,

p = 1/2

There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,

E = 570 x (1/2)

E = 285

The mean number of correct answers will be 285.

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The solution of the given expression is 9*\(x^{4}\)/100.

GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).

We have to simplify the expression in which variable comes only once.

Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.

The given fraction is 27\(x^{12}\)/300\(x^{8}\).

When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.

=27\(x^{4}\)/300

Now divide numerator an denominator by 3.

=9\(x^{4}\)/300

Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.

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Answer:

\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)

\(O \frac{9}{100}x^{4}\)

✔ \(\frac{3}{10} x^{2}\)

\(O \frac{27}{300} x^{4}\)

\(O\frac{9}{10} x^{2}\)

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

what they have in common is that there both Intergers but What's different is that there -1 off

Answer:

14

Step-by-step explanation:

Follow BPEMDAS, or PBEMDAS in this case:

PBEMDAS stands for:

Parenthesis

Brackets

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, solve the parenthesis:

(7 + 7) = 14

Next, divide:

[14/7] = 2

Finally, multiply:

7 x 2 = 14

14 is your answer.

~

Answer:

Step-by-step explanation:

The cover the same area, the map that is 1 inch to 500 feet has to be larger. It also has to be more detailed.

Suppose the total distance to be covered is 9 thousand feet.

The map whose scale is 1000 feet / inch needs 9 inches.

The same distance would require twice as much scale distance or 18 inches.

Answer:

Step-by-step explanation:

To solve this problem, we are going to apply the pigeon hole principle, which is as follows:

If m pigeons occupy n pigeon holes and m>n, then there must be at least one pigeonhole that holds more than one pigeon.

To apply this principle, we'll work the problem out to have a pigeon-pigenhole set up.

Consider the set \(\{1,\dots, 25\}\). We want to define the posible values of SB for any B that is a subset of A. The lowest value of Sb would be considering B = \(\{1,2,3,4,5\}\). In this case, the sum is 15. The highest value of SB would be when we consider the set B = \(\{21,22,23,24,25\}\). In this case SB = 115. So now, consider A as stated and B any subset of A that has 5 elements. Since A has 9 elements and B has 5, we have \(\binom{9}{5} = \frac{9!}{4!5!}=126\) different sets of 5 elements. Also, we have that

\( 15\leq S_b \leq 115\).

Note that given a B, SB is necessarily an integer between 15 and 115, and that given a B, we can assign its sum SB directly by summing up. Consider the different values of SB as pigeonholes and each 5-elements set as pigeons. We have in total 101 possible values (115-15 +1 = 101). Since each set B has a SB, then we are in the case in which we have more pigeons than pigeonholes, so it must happen that there is at least one pigeon hole (value of SB) that has more than one pigeon.

Answer:

396

Step-by-step explanation:

100% = 360

10% = 100% * (10/100) = 100%/10 = 360/10 = 36

previous salary plus the 10% raise = 360 + 36 = 396 =

= new salary

We will see that g(x) is a reflection across the y-axis of f(x), then:

   \(g(x) = f(-x) = 3^{-x\\\)

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

\(f(x) = 3^x\)

Then, replacing f(x) on the formula for g(x), we get:

\(g(x) = f(-x) = 3^{-x\\\)

That is the function g(x) shown in the figure.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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The rate of spray at both times is 40 gallons/hour and it is the same.

What is the rate of change?

How quickly something changes over time is referred to as its rate of change, or ROC. Thus, it is the acceleration or deceleration of changes (i.e., the rate) rather than the magnitude of individual changes.

We have,

spray 20 gallons of water in 1/2 hour.

30 gallons and 3/4 hours (it's not 347 hours).

We simply calculate the rate for one hour:

1/2 hour = 20 gallons

3/4 hours = 30 gallons

Then for 1 hour,

1 hour = 20 * 2 = 40 gallons

1 hour = 30 * 4/3 = 40 gallons

Hence, the rate of spray at both times is 40 gallons/hour and it is the same.

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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If a point, (x, y) is translated c units to the left, the new coordinate would be

(x - c, y)

Given that point A with coordinates, (3, 4) is translated 4 units left, the new coordinate would be

(3 - 4, 4)

= (- 1, 4)

If a point, (x, y) is reflected across the x-axis, the sign of the x coordinate remains unchanged while the sign of the y coordinate would change. This gives us (x, - y). Thus, if (- 1, 4) is reflected across the x-axis, the new point would be

(- 1, - 4)

If a point, (x, y) is translated c units down, the new point would be (x, y - c)

Thus, if (- 1, - 4) is translated 2 units down, the new point would be (- 1, - 4 - 2)

= (- 1, - 6)

The final coordinate is

(- 1, - 6)

Answer

Option D is correct.

13%

Explanation

The percent increase in a value is given as

New price = $0.72

Old price = $0.64

Hope this Helps!!!

Answer:

Width = 3.773 inches

Length = 79.227 inches-

Step-by-step explanation:

g = 7(3w)             Eq. 1

166 = 2(g+w)       Eq. 2

g = length

w = width

From Eq, 1:

g = 21w              Eq. 3

Replacing Eq. 3 in Eq. 2

166 = 2(21w + w)

166 = 2(22w)

166 = 44w

166/44 = w

w = 3.773

From Eq. 3

g = 21(3.773)

g = 79.227

Check:

From Eq. 2:

166 = 2(79.227 + 3.773) = 2 * 83

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.