simplify
4-¹n6/4²n²

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

\(\huge\text{Hey there!}\)

\(\mathsf{|48 - 6| + |- 35 + 7|}\)

\(\mathsf{|48 - 6| = \boxed{\bf 42}}\)

\(\mathsf{= 42 +| -35 + 7|}\)

\(\mathsf{|-35 + 7| = \boxed{\bf -28}}\)

\(\mathsf{= 42 + |- 28|}\)

\(\mathsf{= 42 + 28}\)

\(\boxed{\mathsf{= \bf 70}}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

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Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

cos(-315)° = cos 315°

cos 315° = cos 45°

This is equal to

\(\frac{1}{\sqrt{2}}\)

We need to calculate how much work it takes to lift a 160 N barbell.

The information we have is the weight (or gravitiy force) we have to apply to lift the barbell and the direction (upwards, 180 degrees from the direction of the weight).

As the work is:

we are missing the displacement or distance (Delta x) we are lifting the barbell.

Answer: we need to know the value of the displacement in the lifting (Delta x)

To find the critical values of the function f(x) = (x² - 4)⁶, we need to determine the values of x where the derivative of f(x) is equal to zero or undefined.

First, let's find the derivative of f(x) using the power rule for differentiation:

f'(x) = 6(x² - 4)⁵ * 2x

To find the critical values, we set the derivative equal to zero and solve for x:

6(x² - 4)⁵ * 2x = 0

Since the derivative is a product of two factors, either one of the factors can be equal to zero for the whole expression to be zero.

Setting 6(x² - 4)⁵ = 0 gives us two possible cases:

Case 1: 6 = 0

This equation has no solution since 6 is a non-zero constant.

Case 2: (x² - 4)⁵ = 0

To solve this equation, we set the factor x² - 4 equal to zero:

x² - 4 = 0

Solving for x, we get:

x = ±2

Therefore, the critical values of f(x) are x = -2 and x = 2.

In summary, the critical values of the function f(x) = (x² - 4)⁶ are x = -2 and x = 2. These are the values of x where the derivative is either zero or undefined.

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Answer:

12

Step-by-step explanation:

3.60/0.30=12

Side GH of given figure is= 5

angle m<l of given figure is=65

Congruency is a concept in geometry that describes the relationship between two geometric figures that have the same shape and size. Two figures are said to be congruent if they can be transformed into each other by a combination of translation (moving), rotation (turning), and reflection (flipping) without changing their size or shape. FGHI is congruent to LKJI

JK=5

m<F=65

GH=JK=5(both side are congruent)

m<l=65(both angle are congruent)

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A relation 'f' is referred to as a function if each element of a non-empty set X has just one image or range to a non-empty set Y. Here the function is not a simple power function.

Each function and the requested variable are:

y = 5x³

In this function, k = 5 and p = 3.

y = -2\(x^{-1/2}\)

In this function, k = -2 and p = -1/2.

y = 2

This function is a constant function and not a power function. Therefore, neither k nor p can be identified.

y = 4\(\sqrt{x}\)

In this function, k = 4 and p = 1/2.

y = 7/x²

In this function, k = 7 and p = -2.

y = \(3x^4 + 2x^3 - 5x^2 + 6\)

This function is not a simple power function. Therefore, neither k nor p can be identified.

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The dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

Scale factor is a dimensionless constant value that is used to compare the size of two objects. It is denoted by [K]. Mathematically -

K = O[1]/O[2]

Given is Lewis who is building a train layout and wants to build a model of the train station in his city. He wants it to be exactly to scale to match his engine. The engine measures 8 inches long and is the model of a train that is 80 feet long. The station in his city is 30 feet by 60 feet by 40 feet.

Now, it is given here that Lewis assumed a dilation model in which 80 feet is 8 inches long. Then -

80 feet = 8 inches

So one feet will be -

1 ft = 8/80 = 1/10 inches

Now, the dimensions of station in Lewis native city is 30 feet by 60 feet by 40 feet.

Now, dilating the dimensions with a scale factor of 1/10 inches, we get -

30 feet = 30 x 1 feet = 30 x 1/10 = 3 inches

60 feet = 60 x 1 feet = 60 x 1/10 = 6 inches

40 feet = 40 x 1 feet = 40 x 1/10 = 4 inches

Therefore, the dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

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Answer: w=2

Step-by-step explanation:

5w+9=19

minis 9 on the 9 and 19

5w+10

divide 5 on the ten to get 2

w=2

TABLE T

WHY?

BECAUSE THE SAME VALLUE OF X (4) HAS DIFFERENT IMAGES IN Y

Answer:

y-3=-12(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-12(x-5)

Answer:

-4

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

Choose two points from the table and plug them into the equation.

(-4, -2) and (-2, -10)

(x1, y1) and (x2, y2)

Pick one to be 2, and the other to be 1.

(-10 - -2) / (-2 - -4) = (-8)/(2) = -4

The slope of this function is -4.

The current value of the vending machine is $150,411.90, which is the sum of all discounted future payments.Vending machines are used to offer goods like snacks and beverages to consumers for sale without the need for a salesperson.  

These machines often necessitate cash or debit card payments to operate. Vending machines have become a preferred method of retailing due to their cost-effectiveness and ease of use. The current value of the vending machine can be determined using the present value formula.

The present value is the sum of the future payments, discounted back to their current value. In this case, we must discount the future payments to their present value using the given interest rate. The formula is as follows:PV = Pmt x ((1-(1/(1+r)n))/r).

Where, PV = Present Value Pmt = Payment per period n = Number of periods r = Interest rate per periodIn this scenario, Pmt = $750n = 30 periods (since the payments are made every six months for 15 years, which is 30 periods)r = 5% per period.

Present Value = $750 x ((1-(1/(1+0.05)^30))/0.05) Present Value = $150,411.90.

Therefore, the current value of the vending machine that is expected to pay out $750 every six months for 15 years at a 5% interest rate per annum, and the first payment is made four years after from today is $150,411.90.

In conclusion, the current value of the vending machine is $150,411.90, which is the sum of all discounted future payments.

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Answer:

Below

Step-by-step explanation:

From 10 am to 1 pm is three hours

  the boys covered distance =  68 miles in 3 hours  

x = rate1

x+3 = rate2

rate  X   time   = distance

(x   +    x+3)  X  3  = 68

6x+9 = 68

6x = 59

x = 9  5/6 mph     then the other rate is x+3 = 12  5/6 mph

Answer: 9.833...

Step-by-step explanation:

The boys traveled a combined 68 miles in 3 hours (difference between 10am and 1pm). This makes their combined speed equal to 68/3.

We can make this equation to model how that combined speed breaks down between them:

68 miles/3 hours = (3 + x) miles/1 hour + x miles/1 hour

To solve:

68/3 = (3 + x) + x

68 = (3 + 2x) * 3

68 = 9 + 6x

59/6 = x

9.833... = x

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The zeros of the given polynomial equation are {-1, -2, -3}.

The given polynomial equation is g(a)=4a³+24a²+44a+24.

The rational root theorem is also known as the rational zero theorems (or) the rational zero tests (or) rational test theorem and is used to determine the rational roots of a polynomial function. The general form of a polynomial function is \(f(x) = a_nx^n+a_{n-1}x^{n-1}+.......+a_2x^2+a_1x+a_0\). Here, the value(s) of x that satisfy the equation f(x) = 0 are known as the roots (or) zeros of the polynomial.

Now, g(a)=4a³+24a²+44a+24

⇒ 4a³+24a²+44a+24=0

⇒ 4(a³+6a²+11a+6)=0

⇒ a³+6a²+11a+6=0

Now, put ....-3, -2, -1, 0, 1, 2, 3,....in a³+6a²+11a+6=0 and simplify and check they are equal to 0.

Put a=-3 and check.

That is, (-3)³+6(-3)²+11(-3)+6=0

⇒-27+54-33+6=0

⇒0=0

So, -3 is the zero of the given equation.

Put a=-2 and check.

That is, (-2)³+6(-2)²+11(-2)+6=0

⇒-8+24-22+6=0

⇒0=0

So, -2 is the zero of the given equation.

Put a=-1 and check.

That is, (-1)³+6(-1)²+11(-1)+6=0

⇒-1+6-11+6=0

⇒0=0

So, -1 is the zero of the given equation.

Therefore, the zeros of the given polynomial equation are {-1, -2, -3}.

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Answer:

43

Step-by-step explanation:

4(2)-5(3)+10(5)

8-15+50

-7+50

43

hopes this helps please mark brainliest

Answer:

17/54,x=3 m=5

Step-by-step explanation:

Answer:

5.4 ++ 18 that is so far fo ,e fhd

Step-by-step explanation:

Answer:

2,  13,  52,, 4

Step-by-step explanation:

Answer:

Cars: 49

Trucks: 35

Step-by-step explanation:

7x+5x=84

12x=84

x=84/12

x=7

m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:

m∠B = m∠Q

Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:

3v + 4 = 8v - 6

To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:

4 + 6 = 8v - 3v

10 = 5v

Dividing both sides by 5:

v = 2

Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:

m∠B = 3(2) + 4 = 10

m∠Q = 8(2) - 6 = 10

Therefore, m∠B = 10 and m∠Q = 10.

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Answer:

60 inches

Step-by-step explanation:

12 feet=144 inches

28in x 3 = 84

144-84= 60

Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.

The conversion factor between inch and foot are:

1 foot = 12 inches,

or, 1 inch = 1/12 feet.

We are informed that Sarah has a wooden board that is 12 feet long.

We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.

To solve the problem, we convert the length of the wooden board from feet to inches.

The board is 12 feet long. We know 1 foot = 12 inches.

∴ 12 feet = 12*12 inches = 144 inches.

∴ Length of the board = 144 inches.

Size of the piece cut by Sarah = 28 inches.

She cuts 3 such pieces,

∴ Total piece of board cut = 3*28 inches = 84 inches.

∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.

∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

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Answer:

120 ft^2

Step-by-step explanation:

10 times x equals 20  (x equals 2)

assuming the same rule applys to the left wall

6 x 2 = 12

12 x 20= 240   (this is for a whole square)

240/2 (because its basically a square cut in half) your answer is 120

The measure of angle x is approximately 90.5° using the law of cosines.

The law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle.

It is expressed as:

c² = a² + b² - ( 2ab × cosC )

( 2ab × cosC ) = a² + b² - c²

From the diagram:

Angle C = x

a = 20 inches

b = 9 inches

c = 22 inches

Plug these values into the above formula and solve for angle C.

( 2ab × cosC ) = a² + b² - c²

( 2 × 20 × 9 ) × cosC = 20² + 9² - 22²

360 × cosC = 400 + 81 - 484

360 × cosC = -3

cosC = -3/360

C = cos⁻¹( -3/360 )

C = 90.5°

Therefore, the measure of the missing angle is 90.5°.

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The set of observations on a variable measured at successive points in time or over successive periods of (c) time series .

A Time Series is a set of observations on a variable that is measured at successive points in time or over successive periods.

Which means that the values of the variable that are recorded at regular intervals or successive points, such as daily, weekly, monthly, or annually, and are analyzed to identify the patterns, trends, and relationships over time.

The Time series analysis can be used in various fields, including economics, finance, engineering, and the natural sciences, to make predictions, identify cause-and-effect relationships, and inform decision-making.

The given question is incomplete , the complete question is

A set of observations on a variable measured at successive points in time or over successive periods of

(a) geometric series

(b) time invariant set

(c) time series

(d) logarithmic series

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Answer:

angles J and N

Step-by-step explanation:

vertical angles are congruent angles that are vertically across from each other

angle j and angle n are both right angles and they are both vertically across from each other therefore A is your answer

Answer:

54%

Step-by-step explanation:

2750 is nothing but 54100 if you multiply the numerator and denominator by 2. Now that we have a value over 100, we just have to multiply the entire by 100. The denominator will be canceled, and we're left with 54%

Answer:

54%

Step-by-step explanation:

to find a percentage you must have the denominator (bottom number) that is 100

to get the denominator to 100 you must multiply it by 2

that means you multiply the top and bottom by 2

27 * 2 / 50 * 2

54 / 100

a percentage is a number over 100 and this percentage is 54%