what is the quotient of 4 divided by 1/8

Answer:

the solution points for the system of equations are (3, 25) and (-7/2, -7).

Step-by-step explanation:

We can solve this system of equations using substitution or elimination. Here, we will use the substitution method:

Substitute y = 2x^2 + 5x - 10 into the second equation:

4x - (2x^2 + 5x - 10) = -11

Simplifying the left side of the equation:

4x - 2x^2 - 5x + 10 = -11

Rearranging the terms:

2x^2 - x + 21 = 0

Using the quadratic formula:

x = (-(-1) ± sqrt((-1)^2 - 4(2)(21))) / 2(2)

x = (1 ± sqrt(169)) / 4

x = (1 ± 13) / 4

Simplifying:

x = 3 or x = -7/2

Now, substitute each value of x back into one of the original equations to find the corresponding value(s) of y:

For x = 3:

y = 2(3)^2 + 5(3) - 10 = 25

So one solution point is (3, 25).

For x = -7/2:

y = 4(-7/2) + 11 = -7

So the other solution point is (-7/2, -7).

Therefore, the solution points for the system of equations are (3, 25) and (-7/2, -7).

Answer:

a

Step-by-step explanation:

Answer:

2^3=8

Step-by-step explanation:

Answer:

t = 7.875 seconds

Step-by-step explanation:

Comment

The formula itself gives you the answer almost directly.

Givens

S(t) = 217 feet

a = - 16

b = 12

Formula

S(t) = - 16t^2 + 126t

0 = -16t^2 + 126t - 217

Solution

You must use the formula for solving a quadratic.

t = (-b +/- (√b^2 - 4*ac)/2a               Substitute the gives into the quadratic formula

t = (-126 +/- √126^2 - 4(-16)(-217) )

t = (-126 +/- √15876) 2*-16

t = (-126 +/- 126) / 2* - 16

There are 2 values for t.                  One is not usable.

t = (-126 + 126)/-32 = 0

so t = 0 so that's impossible

t =  - 252 / - 32                                Combined -126 and - 126

t = 7.875 seconds.

After 7.875 seconds, the ball has gone up 217 feet. The reason you are getting only one answer is likely that you are getting the going up distance. But after the ball has reached its highest point if may have the going down distance = 217 feet from the ground. The formula does not provide it however.                          

Answer:

m = 4/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(24-12)/(6-(-3))

12/9 = 4/3

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

In the given scenario, we have a survey of 1780 American households that found 59% of the households own a computer. Let's identify the population, sample, and individuals in the study:

Population: The population refers to the entire group or larger set of individuals that we are interested in. In this case, the population would be all American households.

Sample: The sample is a subset of the population that is chosen to represent the population accurately. In this situation, the survey includes 1780 American households. Therefore, the sample is the 1780 households that were surveyed.

Individuals: The individuals in the study are the specific units or elements being surveyed or examined. In this case, the individuals are the American households that participated in the survey. Each household represents an individual within the study.

To summarize:

Population: All American households.

Sample: The 1780 American households surveyed.

Individuals: The American households participating in the survey.

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Answer:

By delivering oxygen to the cells

Step-by-step explanation:

This is the answer because:

The respiratory system is responsible for moving gases into and out of the blood because it gives the bloodstream the oxygen needs. The circulatory system is responsible for moving blood to all parts of the body and transport nutrients. The circulatory system works with the respiratory system to exchange carbon dioxide and oxygen.

The statement is not always true; there are shapes where the area can be greater than the perimeter.

The statement that the perimeter of a shape will always be greater in value than the area of the shape is not universally true for all shapes. It depends on the specific shape in question.

In some cases, the perimeter of a shape can indeed be greater than its area. For example, consider a rectangle with sides of length 3 units and 5 units.

The perimeter of this rectangle is 2(3 + 5) = 16 units, while the area is 3 × 5 = 15 square units.

In this case, the perimeter is greater than the area.

However, there are also shapes where the area can be greater than the perimeter.

For instance, consider a circle with a radius of 1 unit.

The perimeter of this circle, which is the circumference, is 2π(1) = 2π units.

On the other hand, the area of the circle is \(\pi(1)^2 = \pi\) square units. Since π is approximately 3.14, in this case, the area (π) is greater than the perimeter (2π).

Therefore, it is incorrect to make a general statement that the perimeter of a shape will always be greater than the area.

The relationship between the perimeter and area of a shape depends on the specific properties and dimensions of that shape.

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Answer:

\(\frac{\sqrt{7} +2\sqrt{5}}{\sqrt{7}-\sqrt{5} }\\\\=\frac{\sqrt{7} +2\sqrt{5}}{\sqrt{7}-\sqrt{5} }*\frac{\sqrt{7} +\sqrt{5}}{\sqrt{7}+\sqrt{5} }\\\\ =\frac{(\sqrt{7} +2\sqrt{5})(\sqrt{7} + \sqrt{5} )}{(\sqrt{7}-\sqrt{5})(\sqrt{7}+\sqrt{5})\\ }\\\\=\frac{17 +3\sqrt{35} }{2}\)

The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.

The range of values that we are permitted to enter into our function is known as the domain of a function.  A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

We know that the domain of a function is the set of values that we are allowed to plug into our function.

From the Graph the x values ranges from 0 to 4.

So, domain is 0 ≤ x ≤ 4.

and, the range is the corresponding output for the input

From the Graph the y values ranges from 0 to 80.

So, Range is 0 ≤ y ≤ 80.

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Answer:

2(2x + 6)

Step-by-step explanation:

To solve this problem, you can use a common factor to divide 4 and 12. The common factor between 4 and and 12 is 2. Divide both by 2 to get 2x + 6. Then put these two in parenthesis and put the 2 on the outside symbolizing distributing the 2 between the two.

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

If we are expecting 30% of the data to lie between 20 and 25, this is an underestimate since the actual percentage is closer to 34%.

Since the distribution is approximately normal with a mean of 25 and a standard deviation of 5, we can use the empirical rule to estimate the percentage of data that lies between 20 and 25.

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.

Since 20 is one standard deviation below the mean (25-5=20) and 25 is at the mean, we can expect approximately 34% of the data to lie between 20 and 25.

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The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The average of a group of variables is referred to as the mean in mathematics and statistics.

There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Thus, given statement is true.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

Pete ate 2, Joe ate two, and Blake ate 1

2 + 2 + 1 = 5

They ate 5 out of 8 slices. The boys ate 5/8 of the pizza

The base radius, r, and height H of the cylinder indicates that the equation that represents the volume of each of the two inscribed cones of the cylinder is \(V = \dfrac{\pi \cdot r^2\cdot H}{6}\)

The volume of a cone is the product of pi, the square of the base radius of the cone, the height of the cone divided by 3.

Mathematically, the formula for the volume of a cone, V, is presented as follows;

\(V = \dfrac{\pi \cdot r^2\cdot h}{3}\)

The base radius of each cone are the same (cones inscribed in the same cylinder)

Whereby the height of each cone is h, we get;

h + h = H

2·h = H

h = H/2

The volume of each cone is therefore;

\(V = \dfrac{\pi \cdot r^2\times \frac{H}{2} }{3} = \dfrac{\pi \cdot r^2}{3} \times \dfrac{H}{2} = \dfrac{\pi \cdot r^2\cdot H}{6}\)

The equation that represents the volume of each cone is therefore;

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Answer:

Answer is A btw hope it helped

Step-by-step explanation:

Please provide a photo.

Answer:

The range of numbers that will win the game for your player is \(0 \leq x \leq 16\).

Step-by-step explanation:

We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.

The numbers to choose from are zero to twenty.

Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.

Given that Nita chooses 7.

Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;

\(|x-7|<10\) ,  where x = number chosen by Erik, i.e. \(0 \leq x\leq 20\)

Further solving the above equation we get;

\(-10 < x-7<10\)

\(-10+7 < x-7+7 < 10 + 7\)

\(-3 < x < 17\)

But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.

SO, the required range of numbers that can win Erik the game is given by = \(0 \leq x \leq 16\).

F'(2) = f'(g(2))g'(2) = f'(-3)(8) = 6 * 8 = 48. that r(x) = f(g(h(x))), where h(1) = 3, g(3) = 4, h′(1) = 5, g′(3) = 4, and f′(4) = 7.In order to find r′(1), we can use the chain rule which says that if we have

r(x) = f(g(h(x))) then:

r′(x) = f′(g(h(x)))g′(h(x))h′(x)Here,

r(x) = f(g(h(x)))Thus,

r′(x) = f′(g(h(x)))g′(h(x))h′(x)On plugging the given values we have:

g(h(1)) = g

(3) = 4,

f(4) = ?,

g′(3) = 4 and

h′(1) = 5

r′(1) = f′(4)g′(3)h′(1)

r′(1) = (7) (4) (5) = 140Thus, r′(1) = 140.F(x) = f(g(x))where f(-3) = 7, f'(-3) = 6, f'(2) = 5, g(2) = -3 and g'(2) = 8.To find F'(2), we can use the chain rule which says that if we have F(x) = f(g(x)) then:F'(x) = f'(g(x))g'(x)Here,F(x) = f(g(x))Thus,F'(x) = f'(g(x))g'(x)On plugging the given values we have: g(2) = -3, f(-3) = 7, f'(2) = ?, g'(2) = 8F'(2) = f'(-3)(8) = 6(8) = 48Hence, F'(2) = 48.

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we can conclude that there is a significant difference between the observed and expected frequencies of race categories.

To determine if the housing complex's distribution of residents by race is significantly different from the population distribution, we can perform a chi-square goodness-of-fit test.

First, we need to calculate the expected frequencies for each race category based on the population distribution. The expected frequencies can be calculated as follows:

Expected frequency for Hispanics = 0.28 x 94 = 26.32
Expected frequency for Blacks = 0.24 x 94 = 22.56
Expected frequency for Whites = 0.35 x 94 = 32.9
Expected frequency for Asians = 0.12 x 94 = 11.28
Expected frequency for Others = 0.01 x 94 = 0.94

We can then calculate the chi-square statistic as follows:

χ2 = Σ (O - E)2 / E

where O is the observed frequency and E is the expected frequency for each race category.

Using the data from the table, we can calculate the chi-square statistic as follows:

χ2 = [(212-11.28)2/11.28] + [(202-26.32)2/26.32] + [(270-32.9)2/32.9] + [(22-22.56)2/22.56] + [(0-0.94)2/0.94] = 52.06

We have 5 categories and 1 parameter estimated (the expected frequencies), so the degrees of freedom for the test are df = 5 - 1 = 4.

Using a chi-square distribution table with 4 degrees of freedom and a significance level of 0.05, the critical value is 9.49.

Since our calculated chi-square statistic (52.06) is greater than the critical value (9.49), we can reject the null hypothesis that the housing complex's distribution of residents by race is consistent with the population distribution. Therefore, we can conclude that there is a significant difference between the observed and expected frequencies of race categories.

For the follow-up analysis, we can perform post-hoc tests to determine which race categories have significantly different distributions. One way to do this is to perform chi-square tests of independence between the housing complex's distribution and the population distribution for each race category. We can also calculate the standardized residuals for each race category to determine which categories have the largest contributions to the overall chi-square statistic.

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Answer:

178.3 mm²

Explanation:

The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()

The maximum period of time they could reserve the meeting space is 9 hours.

Mathematical expressions with the symbols > and are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

An algebraic inequality expression is a mathematical statement that uses the it as a sign to connect an expression to a value, a variable, or another expression. One type of variable inequalities can have solutions that can be graphed either in a coordinate plane or on a number line.

Inequality expression is 31 + 5.9*t < 84.10.

To understand it, collect all constant on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10 % 5.9 = 9 hours.

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Correct Question:

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.90 per hour. The chemistry club wants to spend less than $84.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

x = 9 , z = 79

Step-by-step explanation:

(12x - 7) and (5x + 56) are vertically opposite angles and are congruent, so

12x - 7 = 5x + 56 ( subtract 5x from both sides )

7x - 7 = 56 ( add 7 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

5x + 56 = 5(9) + 56 = 45 + 56 = 101

z and (5x + 56) are adjacent angles on a straight line and sum to 180°, that is

z + 101 = 180 ( subtract 101 from both sides )

z = 79

Step-by-step explanation: