? Graduate students attend university A.( type an expression using n as the variable or decimals for any numbers in the expression)

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that perimeter of a triangle is 45 feet.

ratio of the lengths of the three sides is 2:3:4

We have to find the measure of each side.

Let us consider the side lengths are 2x, 3x, and 4x.

2x+3x+4x=45

Add the like terms

9x=45

Divide both sides by 9

x=5

Side lengths are 2x = 2×5 = 10 feet,

3x = 3× 5 = 15 feet, and 4x = 4 ×5 = 20 feet.

Hence, the measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Matt ate 1/6 of the bag of peanut

Matt had 4/6 bag of peanut

He ate a quarter of what was in the bag

The amount of peanut he ate can be calculated as follows

= 4/6 × 1/4

= 4/24

= 1/6

Hence Matt ate 1/6 of the bag of peanut

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The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.

Let the number is n.

The phrase can be expressed as,

2n - 4.

Therefore, the expression is 2n - 4.

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Answer:

x=-3

Step-by-step explanation:

Given, f(x) = 10^-3 and f(x)=10^x

Compare the equations

10^-3=10^x

So, x=-3

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that \(p = \frac{124}{500} = 0.248\)

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

Answer:

$179.40

Step-by-step explanation:

10 × 6 = 60 ft²

$2.99 × 60 ft² = $179.40

Answer:

The inequality would be (310-120)/10 less than or equal to x

19 hours minimum

Step-by-step explanation:

(310-120)/10

190/10

19

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

4.61 gallons is the mean number of gallons of milk consumed last month​.

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

The mean (also known as that of the arithmetic mean, which varies with respect to the geometric mean) of a data is calculated as the sum of all values divided by the total number of values. This indicator of the central tendency is usually referred to as the "average".

The total number of gallons of milk consumed is:

\((7 \times 3) + (9 \times 4) + (7 \times 7) \\= 21 + 36 + 49 = 106\)

The total number of families is \(7 + 9 + 7 = 23\)

Therefore, the mean number of gallons of milk consumed last month is:

\(106/23 = 4.61\) gallons

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Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:

The equations are:

\(4y + x = 16 \rightarrow x = 16 - 4y\)

\(y = 4 - x \rightarrow x = 4 - y\)

Equaling both equations for x, we have that:

\(16 - 4y = 4 - y\)

\(3y = 12\)

\(y = \frac{12}{3}\)

\(y = 4\)

\(x = 4 - y = 4 - y = 0\)

Hence, the system has one solution, which is (0,4), and option d is correct.

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Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Step-by-step explanation:

15 may be

HOPE IT HELP U ...

Answer:

A. $15 is the mode.

Step-by-step explanation:

In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.

The length and width of the rectangle with the given perimeter are 26ft and 21ft respectively.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug these values into the equation above.

P = 2( l + w )

94 = 2( (x+5) + x )

94 = 2x + 10 + 2x

94 = 4x + 10

4x = 94 - 10

4x = 84

x = 84/4

x = 21

Hence;

Width of the rectangle = x = 21ft

Length of the rectangle = x+5 = 21+5 = 26ft

Therefore the length and width of the rectangle with the given perimeter are 26ft and 21ft respectively.

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Answer:

x = 4

Step-by-step explanation:

You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.

-6 + x = -2                         <----- Original equation
+6         +6                        <----- Add 6 to both sides to isolate "x"

0 + x = 4                           <----- After the addition

x = 4                                 <----- Rewrite

Answer:

None of the above (x = 4) \( \sf {} \)

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -6 + x = -2

Then the value of x will be,

→ -6 + x = -2

→ x = -2 + 6

→ [ x = 4 ]

Hence, the value of x is 4.

Therefore , the solution of the given problem of slope comes out to be  y = 7x - 17 is the equation in slope-intercept form.

A line's steepness is determined by its slope. In gradient-based equations, a situation known as gradient overflow can happen. One can determine the slope by dividing the sum of a run (width differential) and rise (climbing distinction) between two places. The equation with the hill variation, y = mx + b, is used to model the fixed path issue. where grade is mm, a = bc, and the line's y-intercept is situated; (0, b).

Here,

Given :

=> -7x + y = -17

7x both faces together

=>  -7x + 7x + y = 7x - 17

Condense: y = 7x - 17

So,

=>  y = 7x - 17 is the equation in slope-intercept form.

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Answer:

60 sweatshirt Or 45 jackets

Step-by-step explanation:

Total amount = $1,440

Sweatshirts = $24

Jackets = $32

What is the greatest number of sweatshirts or jackets the team can purchase?

The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt

= $1,440 / $24

= 60

The greatest number of jackets the team can purchase =Total amount /cost of jackets

= $1,440 / $32

= 45

Therefore, the greatest number of sweatshirts or jackets the team can purchase is

60 sweatshirt

Or

45 jackets

Answer:

60 Sweatshirts

45 jackets

Step-by-step explanation:

take the amount of money divide by the cost of the jacket or sweatshirt.

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

It would be a diagnol line.

Answer:

136,900

Step-by-step explanation:

If you mean 'to the power of 2', then you're talking about exponents.

37 times 10 equals 370.

370 to the power of 2, or 370 x 370, equals 136, 900.

      370

+    370

______

136,900

Answer:

100°

Step-by-step explanation:

tThe sum of all arc measures that make up that circle is 360 degrees.

QS + RQ + RS = 360

QS = 360 - 120 - 140 = 100

An arc angle is the degree measurement of that angle inside the circle, opposite the arc

m∠R = arc QS = 100°

Answer:

∠ R = 50°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc QS

the sum of the arcs on a circle is 360° , that is

RQ + QS + SR = 360°

120° + QS + 140° = 360°

QS + 260° = 360° ( subtract 260° from both sides )

QS = 100°

Then

∠ R = \(\frac{1}{2}\) × 100° = 50°

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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Answer:

B. -13

Step-by-step explanation:

If it's 8 degrees COLDER you would have to add 5 to 8 (13) and add your negative sign because it's -5 degrees in Chicago.

Step-by-step explanation:

the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor

Options 2nd, 3rd and 4th are correct options.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

As we know, in similar objects, the ratio of corresponding sides are equal.

Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'

Hence, Options 2nd, 3rd and 4th are correct options.

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Answer:

i dont know

Step-by-step explanation: