10
४|
x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
one value for x, enter another value under 7b below."
Your answer
7b) If there are more value for x, enter another value for x below. Click next to
skip this part if there's no other value for x.

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Slope intercept form is written as follows:

\(y=mx+b\)

With this information, isolate y on the left side of the provided equation:

\(4y=10x-14\)

Now, divide both sides of the equation by 4:

\(y=\frac{10}{4} x-\frac{7}{2}\)

This equation cannot be simplified anymore, and is therefore the answer!

\(y=\frac{10}{4} x-\frac{7}{2}\)

Answer:

y = (5/2)x - (7/2)

Step-by-step explanation:

–10x + 4y + 14 = 0

                 -14     -14

-----------------------------

-10x + 4y = -14

+10x                 + 10x

--------------------------------

4y = 10x - 14

÷4    ÷4     ÷4

----------------------

y = (10/4)x - (14/4)

simplified

y = (5/2)x - (7/2)

I hope this helps!

Answer:

............. Nu știu sigur

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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The answer is Y = -4x +(-6)

Answer:

The Answer for that is Y = -4x -6

Step-by-step explanation:

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer: 14

Step-by-step explanation:

300 minus 80 = 220

220 is the budget for the shirts so we divide 220 by 15 to get 14

Hope this helps!

Answer:14 shirts

Step-by-step explanation:300- 80 = 220

220/ 15 = 14.6  round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

Mean 4.9 letters and standard deviation 1.5 letters

Step-by-step explanation:

Answer:

6*

Step-by-step explanation:

The time difference is 4 hours, (since 8am +4 = 12pm), and the temperature change is 6* because -2*+6*=4*.

Based on the predetermined overhead rate, last year's per unit product cost was d.$4.40.

The predetermined overhead rate is the unit cost of overhead allocated to production units based on a cost driver, e.g., direct labor hours.

The overhead applied to the production units is computed by multiplying the predetermined overhead rate and the production units.

Overhead = $357,000

Machine hours 140,000

Direct labor hours 17,000

Predetermined overhead rate = $21 ($357,000/17,000)

Overhead = $355,000

Machine hours 137,000

Direct labor hours 16,500

Applied overhead = $346,500 ($21 x 16,500)

Prime cost $753,500

Total production costs = $1,100,000

Number of units 250,000

Unit cost = $4.40 ($1,100,000/250,000)

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Answer:

please see answers below

Step-by-step explanation:

In a right-angled triangle, a ² + b ² = c ².

angles in a triangle add up to 180°.

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C

angle C = 90° (little square means 90).

if angle A is 30, then angle B must be 180 - 90 - 30 = 60°.

using the Sine rule:

a/Sin A  =  c/Sin C

multiply both sides by Sin A:

a = (c Sin A) / Sin C

= (12 Sin 30) / Sin 90

= 6.

so a = 6.

Using Pythagoras (In a right-angled triangle, a ² + b ² = c ²),

c² = a² + b²

b² = c² - a²

= 12² - 6²

= 144 - 36

= 108

so b² = 108

b = √108

angle B is correct

Trapezoid WXYZ is located at W(0,5) X(3,8) Y(7,8) and Z(10,5). After a translation 8 units left, the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3).

What is trapezoid?

In mathematics, a quadrilateral with at least one set of parallel edges is referred to as a trapezoid in American and Canadian English, or a trapezium in British and other types of English. In Euclidean mathematics, a trapezoid is a convex parallelogram by definition. The bases of the trapezoid are the horizontal edges.

Given,

W(0,5) X(3,8) Y(7,8) and Z(10,5)

If A(x,y), after being translated left c units, then A(x,y) is written as A(x,y-c)

Then the new coordinates of the vertices are written as-

W(0,5) after being translated left 8 units written as w(0,-3)

X(3,8) after being translated left 8 units written as X(3,0)

Y(7,8) after being translated left 8 units written as Y(7,0)

Z(10,5) after being translated left 8 units written as Z(10,-3)

Hence the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3)

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Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Answer:

Assuming this is a Triangular Tank:

Surface Area = 366.2813397 ft^2

Volume = 403.2 ft^3

The expression that represents the volume of the prism is

2 × 3 × 9 units³. That is option C.

Prism is defined as the type of polyhedron that has two polygonal faces lying in parallel planes and with the other faces parallelograms.

A prism can be of a regular shape or of an irregular shape. The volume of a regular shapes prism can be calculated using the formula stated below

volume of a prism = l × b × h

Length (l) = 9 units

Breath = 2 units

Height (h) = 3 units.

Therefore, the volume of the given prism can be calculated as 2 × 3 × 9 units³.

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The sample size to 100, the standard deviation of the sampling distribution will decrease, as it is divided by the square root of the sample size. Specifically, the standard deviation would be approximately \(2.5 / \sqrt{100} = 0.25 inches.\)

To find the z-score for George Washington, we first need to convert his height of 6 feet to inches, which gives us 72 inches. We can then calculate the z-score using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the population mean, and σ is the population standard deviation.

Assuming a mean height of 68 inches and a standard deviation of 2.5 inches for adult males, we get:

z = (72 - 68) / 2.5 = 1.6

The probability that a randomly selected individual will be as tall or taller than George Washington can be found by looking up the area to the right of the z-score in a standard normal distribution table. This area is approximately 0.0548 or 5.48%. Therefore, there is a 5.48% chance that a randomly selected individual will be as tall or taller than George Washington.

The z-score of 1.6 indicates that George Washington's height is 1.6 standard deviations above the mean height of adult males. This means that his height is relatively uncommon compared to the average male height.

The probability of 5.48% indicates that George Washington's height is in the top 5.48% of male heights in the population.

If we take a sample of 50 male heights, the sampling distribution of the mean heights will be approximately normal with a mean of 68 inches and a standard deviation of 2.5 inches divided by the square root of 50, which is approximately 0.354 inches.

If we increase the sample size to 100, the standard deviation of the sampling distribution will decrease, as it is divided by the square root of the sample size. Specifically, the standard deviation would be approximately \(2.5 / \sqrt{100} = 0.25\)inches. This means that the sampling distribution would become more concentrated around the population mean, resulting in more precise estimates of the true population mean height.

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Answer:

Step-by-step explanation:

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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Answer:

you can regularly look it up, then u won't have to waste points.

The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Answer:

Magnitude of force is \(||v||\approx16.12\text{ lbs}\)

Step-by-step explanation:

\(||v||=\sqrt{x^2+y^2}\\||v||=\sqrt{(-8)^2+(14)^2}\\||v||=\sqrt{64+196}\\||v||=\sqrt{260}\\||v||\approx16.12\text{ lbs}\)

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

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The option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y= 2√x

From the above function the domain should be:

x ≥ 0 (because square root of negative values does not exist)

The function:

y = √(2x)

2x ≥ 0

x ≥ 0

Thus, the option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

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Answer:

17.50

Step-by-step explanation:

The profit on one hotdog is

1 - .65 = .35

Multiply by the number of hotdogs sold

.35 * 50 =17.50

The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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Given the table that shows the data of the number of employees and the number of products, you can identify these points:

Part A

Plot the points on a Coordinate Plane:

Notice that the relationship is approximately linear. Therefore, you can conclude that there is a perfectly positive correlation between the variables.

Part B

Notice that, in this case, the function that best fits the data must be a Linear Function. It can be written in Slope-Intercept Form:

Where "m" is the slope and "b" is the y-intercept.

In this case, you can identify that the y-intercept is:

Because that is the value of "y" when:

In order to find the slope, substitute the coordinates of one of the points into the equation and solve for "m":

Therefore, the function that best fits the data is:

Part C

Notice that the x-values represent the number of employees and the y-values reprsent the number of products.

Therefore, the slope indicates each employee produces 20 products yearly.

And the y-Intercept indicates that 100 products are produced yearly even when there are no employees.

Hence, the answers are:

Part A: Yes, there is a perfectly positive correlation between the variables because their relation is approximately linear.

Part B:

Part C:

- The slope indicates each employee produces 20 products yearly.

- The y-Intercept indicates that 100 products are produced yearly even when there are no employees.