A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answer:

Left most and the one u selected

Step-by-step explanation:

7p-4p+15 = 3p+15

3(p+5) = 3p + 3 * 5 = 3p + 15

2p-p+15 = p+15

3(p+15) = 3p+45

if correct, pls mark 5 star, thanks, and brainliest!

1 and 2.

7p - 4p + 15

3p + 15

3 (p + 5)

(3 • p) + (3 • 5)

3p + 15

I hope this helps let me know if you need any more help :)

The sub-atomic particles located in the nucleus of an He^4 atom are 2 protons and 2 neutrons.

Helium belongs to double-electronic species, unlike alpha-particles which are devoid of electrons. The two electrons of Helium are accommodated in the 1s orbital, outside the nucleus.

Nucleons are always present in the nucleus of various elements. Nucleons collectively refer to protons and neutrons. In this case, 2 protons and 2 neutrons reside in the nucleus.

The number of protons is always equal to the atomic number of the element. The number of neutrons is always equal to the difference between the mass number and the atomic number of the element.

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Answer:

m= 1/7

Step-by-step explanation:

To solve for slope: y2- y1/ x2- x1 so,

1-2/ -2-5

= -1/ -7

= 1/7

Answer:

Slope is \(\frac{1}{7\\}\).

Step-by-step explanation:

Answer:

what is this ?? not understanding

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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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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The sphere's radius is approximately 4.818 feet when its volume is 500 cubic feet. The volume of a sphere: V(r) = (4/3)πr³=500

To find the radius of the sphere when the volume is 500 cubic feet, we can set up the equation using the formula for the volume of a sphere:

V(r) = (4/3)πr³

Substituting V(r) = 500, we have:

500 = (4/3)πr³

To solve for r, we can rearrange the equation:

r³ = (3/4)(500/π)

r³= (3/4)(500/π)

r³ = 375/π

Now, we can solve for r by taking the cube root of both sides:

r = (375/π)^(1/3)

Using a calculator, we can evaluate this expression:

r ≈ 4.818 feet (rounded to three decimal places)

Therefore, the radius of the sphere when the volume is 500 cubic feet is approximately 4.818 feet.

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Answer:

B.15/121

Step-by-step explanation:

total-11

Answer:

Range: {5, 3, 1, -1}  or in numerical order: {-1, 1, 3, 5}

Step-by-step explanation:

The range is the set of output or y-values for every input (or x-values). Given the following domain: {-2, 0, 2, 4} and the given linear function, y = -x + 3:

Domain (x)            Range (y)

   -2                 y = -(-2) + 3 = 2 + 3  = 5

    0                 y = - (0) + 3 = 0 + 3  = 3

    2                 y = -(2) + 3  = -2 + 3  = 1

    4                 y = -(4) + 3  = - 4 + 3 = -1

To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

The number of socks chosen at random will be denoted by the letter "n." Given by: The anticipated number of blue socks in "n" pairs

Expected number of blue socks = n * 1/4

In order for there to be four blue socks as expected, we need to determine the value of "n." Thus, we can construct the equation:

n * 1/4 = 4

And solving for n:

n = 4 / (1/4) = 4 * 4 = 16

So, To get 4 pairs of blue socks, on average, you would need to choose 16 pairs of socks at random.

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A distribution of scores on a driver's license test forms is normally shaped. This is an example of a symmetrical distribution is TRUE.

A symmetrical distribution is a distribution where there is an equal number of data points on both sides of the center point, in which the mean, mode, and median of a data set are all similar.

A normal distribution is a bell-shaped distribution that is symmetrical, with most of the data falling near the mean and progressively less toward the tails. When data are symmetrical, the mean and median values are similar, and the standard deviation can be used to compute the proportions of data within a range of values surrounding the mean.

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Answer:

when dividing fractions folow these steps:

first, you need to switch the denom and num of the second fraction:

3/4 ÷ 1/3---> 3/4 ÷ 3/1

Next you just switch the sign of the negative to a multiplication sign and multiply:

3/4 ÷ 3/1---> 3/4 x 3/1

3/4 x 3/1 -----> 9/4

9/4, 2 1/4 - these are your answers. Either are correct

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

Answer:

m=8

Step-by-step explanation:

Answer:

B.)    2 / 15

Step-by-step explanation:

: )

The mean of the given set of group numbers is 6.6

Given,

In the question:

The Group of numbers are as follows:

6.1, 5.9, 4.2, 5.9 and 10.7

To find the mean of the given set of group of numbers.

Now, According to the question:

Given is the following data:

6.1, 5.9, 4.2, 5.9 and 10.7

We can find the mean of the given set of data using the formula-

Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)

Now, n = 5

and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8

Putting the values in the formula, we get:

M = 32.8/5 = 6.56 = 6.6

Hence, The mean of the given set of group numbers is 6.6

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Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

The engineer should take a sample size of approximately 40 to be 95% confident of being in error by only 0.125 minutes.

To calculate the sample size for estimating the cycle time, the engineer can use the formula for continuous data:

E = (zα/2) * (σ / √n)

where:
E is the maximum allowable error (0.125 minutes),
zα/2 is the z-value for a 95% confidence level (which corresponds to a 0.025 alpha level),
σ is the standard deviation (0.4 minutes), and
n is the sample size (unknown).

Rearranging the formula, we have:

n = (zα/2)^2 * (σ^2 / E^2)

Plugging in the given values, we get:

n = (1.96)^2 * (0.4^2 / 0.125^2)

Simplifying the equation, we have:

n ≈ 3.8416 * (0.16 / 0.015625)

n ≈ 3.8416 * 10.24

n ≈ 39.494

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Answer:

Step-by-step explanation:

The area can be found by the formula

\(\boxed{\boxed{\bf S=ab}}\)

This is universal, regardless of whether the fractional side or not; the main thing at the end is to convert to a decimal fraction

For example

\(a=\dfrac{3}{4} ~~ ; ~~ b=\dfrac{1}{3} \\\\ S=\dfrac{\not \!3}{4} \cdot \dfrac{1}{\not\!3}= \dfrac{1}{4} \rm un^2=0,25 un^2\)

(un- Unit of measurement )

The solutions for the given equation are \(u = 2.06c -0.56\).

Solve for u:\(2u² - 4 = 7u\).

If there is more than one solution, separate them with c.

If there is no solution, click on "No solution."

First, put the given equation into the standard form of a quadratic equation:

\(2u² - 7u - 4 = 0\)

This is a quadratic equation in standard form, where \(a = 2, b = -7, and c = -4.\)

Then use the quadratic formula, which is used to solve any quadratic equation of the form ax² + bx + c = 0. It is given by:\(-b ± √b² - 4ac / 2a\).

Substituting the values of a, b, and c from the quadratic equation, we get:\(-(-7) ± √(-7)² - 4(2)(-4) / 2(2)\)

So, the value of u is:\(u = [7 ± √57] / 4\), approximately equal to 2.06 and -0.56

Therefore, the solutions for the given equation are \(u = 2.06c -0.56\).

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A number is a restriction on a rational expression if the number makes the denominator of the rational expression equal to zero.

Hence, option (b) is correct choice.

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

A rational expression's denominator is undefined when it equals zero, hence it cannot be employed in the expression.

For that particular value of the number, the limitation renders the value of the rational statement undefinable.

To put it another way, the number is a limitation since it cannot be used as the input for the rational expression because the output would be an undefined value.

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The missing option may be:

(a) 1

(b) 0

(c) always positive

(d) Indefinite

Complete question :

There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.

Answer:

575 - 12t

Step-by-step explanation:

Given the following :

Total number of fireworks = 575

Number of shots per minute = 12

To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.

In algebraic terms

[total number of fireworks on display - (number of shots per minute × t)]

575 - 12t

Answer:

The asnwer is no it's not irrational

Step-by-step explanation:

It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. The square root of 3 is an irrational number.

Answer:

$352

Step-by-step explanation:

David Gave 1/5 of his money to charity

$2640 / 5 = $528

$2640 - $528 = $2112

1/3 of it to his mom

$2112 / 3 = $704

$2112 - $704 = $1408

He shared the rest of it among his 4 sisters equally

$1408 / 4 = $352

So, each of his sisters get $352

Answer:

Which grade's book exercise is this?

Answer:

B

Step-by-step explanation:

Answer:

A. It's 1/2

Step-by-step explanation:

Histograms generally do not reveal the option b. exact data range.

The term "histogram" refers to a visual representation of data points arranged into user-defined ranges. The histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual by taking many data points and organizing them into logical ranges or bins.

The histogram is one of the most popular graphing tools. It is used to present summary summaries of continuous or discrete data that have been interval scaled. The main characteristics of the data distribution are frequently illustrated using it as a practical example.

To create a histogram, the data must be divided into class intervals. Make a tally to show the frequency (or relative frequency) of each interval's data. The frequency in a particular class is divided by the total number of observations to determine the relative frequency.

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Answer:

The maximum number of boxes that will fit inside the trailer will be 952.

Step-by-step explanation:

Volume of single box = a² = (1.5)² = 2.25 square feet.

Volume of cargo space = L x B x H = (28 x 8.5 x 9) = 2142 square feet.

The maximum number of boxes that will fit inside the trailer will be -

n = {(L x B x H)/a²}

n = (2142/2.25)

n = 952