Expand and simplify
(2x-1)^2 + 5(x+5)

Answer:

y=4/3x+2.5

Step-by-step explanation:

im not 100% sure if i get it wrong reply

Answer:

58.480766068854

Step-by-step explanation:

hope it will help you

Alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

What is exponential smoothing?

Exponential smoothing is a method for estimating time series data in statistics. This method of forecasting is widely used in the estimation of the business cycle and other data with a linear trend. Exponential smoothing predicts the next time period by combining the most recent value of the series with a fraction of the prior forecast. The quantity of smoothing is determined by the alpha parameter.

Exponential smoothing can be described as follows:

\($$S_t=\alpha y_t + (1-\alpha)S_{t-1}$$\)

Where

S_t is the predicted value for time t,

α is the smoothing constanty is the actual value for time t−1

(1−α)S_{t−1} is the forecasted value for time t−1

Based on the equation, it is evident that the larger the value of α, the greater the contribution of the current period to the forecast. In the same way, the lower the value of α, the less significant the role of the current period in the forecast. As a result, it can be concluded that the smaller the value of α, the more slowly exponential smoothing reacts to forecast errors.

Therefore, the answer to this question is alpha value of 0.80 would cause exponential smoothing to respond the most slowly to forecast errors.

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The area of the irregular shape is 63 ft². Answer: a = 63 ft².

To find the area of the irregular shape, we can break it down into smaller rectangles and triangles, and then sum up their areas.

First, let's calculate the areas of the rectangles:

Rectangle 1: Length = 6 ft, Width = 4 ft

Area = Length × Width = 6 ft × 4 ft = 24 ft²

Rectangle 2: Length = 1 ft, Width = 12 ft

Area = Length × Width = 1 ft × 12 ft = 12 ft²

Rectangle 3: Length = 4 ft, Width = 4 ft

Area = Length × Width = 4 ft × 4 ft = 16 ft²

Now, let's calculate the areas of the triangles:

Triangle 1: Base = 6 ft, Height = 1 ft

Area = (Base × Height) / 2 = (6 ft × 1 ft) / 2 = 3 ft²

Triangle 2: Base = 4 ft, Height = 4 ft

Area = (Base × Height) / 2 = (4 ft × 4 ft) / 2 = 8 ft²

Finally, sum up the areas of all the rectangles and triangles:

Total Area = Rectangle 1 Area + Rectangle 2 Area + Rectangle 3 Area + Triangle 1 Area + Triangle 2 Area

= 24 ft² + 12 ft² + 16 ft² + 3 ft² + 8 ft²

= 63 ft²

Therefore, the area of the irregular shape is 63 ft².

Answer: a = 63 ft².

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Answer:

140

Step-by-step explanation:

14 * 10 = 140

140 * 0.1 = 14

Answer: 140

10% of 140 is 14

Answer:

3

Step-by-step explanation: First problem equals to 30

(2+8) times what equals to 30? 3 is your answer

The rule for how many significant figures you are able to get using a measuring instrument is that the number of significant figures is equal to the number of digits that are certain plus one digit that is estimated.

For example, if you measure a length with a ruler that has marks every millimeter, then you can report the length to two significant figures, such as 3.5 cm. The 3 is certain because it is a whole number that is marked on the ruler. The 5 is estimated because it is the value between the 4 and 6 marks on the ruler.

* The number of significant figures in a measurement is determined by the least precise digit.

* The least precise digit is the digit that is estimated.

* The other digits in the measurement are certain.

* For example, in the measurement 3.5 cm, the least precise digit is the 5. This digit is estimated because it is the value between the 4 and 6 marks on the ruler. The 3 is certain because it is a whole number that is marked on the ruler.

* Therefore, the measurement has two significant figures.

It is important to report the correct number of significant figures in a measurement. This is because it is a way of communicating the uncertainty of the measurement. If you report too many significant figures, you are giving the impression that your measurement is more precise than it actually is. If you report too few significant figures, you are not giving enough information about the uncertainty of your measurement.

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When Alec is paid $200 each month to mow the grass and weed the garden, this is a linear function.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Here, Alec is paid $200 each month to mow the grass and weed the garden. In addition, he earns $6.50 per hour for the number of hours he works as a dishwasher at the local diner. This will be:

= 200 + 6.5h

This is a linear function.

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Answer:

50-15.20 = 34.8 - 8p

Step-by-step explanation:

The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

Step-by-step explanation:

Let's solve for x.

5x−2y≤20

Step 1: Add 2y to both sides.

5x−2y+2y≤20+2y

5x≤2y+20

Step 2: Divide both sides by 5.

5x /5 ≤ 2y+20 /5

x≤ 2 /5 y+4

Answer:

x≤ 2 /5 y+4

Let's solve for y.

5x−2y≤20

Step 1: Add -5x to both sides.

5x−2y+−5x≤20+−5x

−2y≤−5x+20

Step 2: Divide both sides by -2.

−2y /−2 ≤ −5x+20

−2 y≥ 5 /2 x−10

Answer:

y≥ 5 /2 x−10

Answer:

The answer is (x+4)

Step-by-step explanation:

Just write the expression as a product with the factor x and 4

x²+2×x×4+4+16

then write the number in the exponential form with an exponent of 2

x²+2×x×4+4²

then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)

Answer:

The square root of 20 is 4.472.

Step-by-step explanation:

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.

Answer:

0.46428571428

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 + 1/8 = 4/8 = 1/2 = 0.5

1/2 - 2/7 = 3/14 = 0.214285714286

3/14 + 1/4 = 13/28 = 0.464285714286

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The expression 2(x + 3) is equivalent to 2x + 6

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Two expressions are said to be equivalent if their values are the same with each other.

For example, the expression 2(x + 3) is equivalent to 2x + 6 because:

2(x + 3)

Opening the parenthesis and simplifying:

= 2x + 6

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Answer: x=t/r+s/r

How to:  Isolate the variable by dividing each side by factors that don't contain the variable.

Have a great day and stay safe !

Answer:

\(solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} \)

The answers to match the inequality and the situation it represents is below!

Let

The variable = c

Less than <

Greater than >

Less than or equal to ≤

Greater than or equal to ≥

Equal to =

Carlos scored over 20 points

c > 20

The cost is at most $10

c ≤ 10

The chair is shorter than 20 in

c < 20

Cathenne biked farther than 10 miles

c > 10

The bag contains fewer than 10 carrots.

c < 10

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Answer:

\(\dfrac{49}{4}\pi=12.25\pi \; \sf in^2\)

Step-by-step explanation:

To find the area of the circle with a circumference of 7π inches, first need to find the radius of the circle.

The formula for the circumference of a circle is:

\(\boxed{C = 2 \pi r}\)

where r is the radius of the circle.

If the circumference of a circle is 7π inches, substitute C = 7π into the formula and solve for the radius, r:

\(\begin{aligned}\implies 2\pi r&=7\pi\\\\\dfrac{2\pi r}{2\pi}&=\dfrac{7\pi}{2\pi}\\\\r&=\dfrac{7}{2}\; \sf in\end{aligned}\)

The formula for the area of a circle is:

\(\boxed{A=\pi r^2}\)

where r is the radius of the circle.

Substitute the found value of r into the area formula to find the area of the circle:

\(\begin{aligned}\implies \sf Area&=\pi r^2\\\\&=\pi \cdot \left(\dfrac{7}{2}\right)^2\\\\&=\pi \cdot \left(\dfrac{7^2}{2^2}\right)\\\\&=\pi \cdot \left(\dfrac{49}{4}\right)\\\\&=\dfrac{49}{4}\pi \\\\&=12.25\pi \sf \; in^2\end{aligned}\)

Therefore, the area of the circle in terms of π is (49/4)π square inches.

the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2 is \vec n = <0,0,-1>

A unit normal vector is a normal vector with magnitude 1, and it points in the direction that is perpendicular to the tangent to the curve at a given point.

To determine the unit normal vector to a curve, it's important to find the tangent first and then find the normal. In this case, we're looking for the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2.

To find the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2, it is necessary to find the tangent to the curve and then find the normal. This is a crucial step in understanding the geometry of curves in 3D space.

To find the tangent to the curve, we'll differentiate the vector equation with respect to t and evaluate it at t = 2. The derivative of \vec r (t) is given by:

d\vec r/dt = <1, -2t^-3, -4e^-t^-4>

So the tangent to the curve at t = 2 is:

d\vec r/dt = <1, -2(2)^-3, -4e^-2^-4> = <1, 1.5, -1.648721>

Next, we'll find the normal to the tangent by taking the cross product of the tangent with a fixed vector, for example, the unit vector i = <1,0,0>. The cross product of two vectors results in a vector that is perpendicular to both of them.

The cross product of the tangent and the unit vector i is given by:

\vec T x \vec i = <1, 1.5, -1.648721> x <1,0,0> = <0,0,-1.5>

Since the magnitude of the normal is not 1, we'll normalize it by dividing it by its magnitude:

\vec n = \vec T x \vec i / ||\vec T x \vec i|| = <0,0,-1.5> / ||<0,0,-1.5>|| = <0,0,-1>

So the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2 is given by:

\vec n = <0,0,-1>

This is the unit normal vector that points in the direction that is perpendicular to the tangent to the curve at t = 2. The magnitude of 1 ensures that it's a unit vector and the direction points towards the normal direction.

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Answer:

x+15 dollars

Step-by-step explanation:

x could be any number, but if you add 15 to x, it would be x+15. Since you don't know what x is, you can't do anything else.

Answer:

The answer for Length is D

110m

Step-by-step explanation:

P=2L+2W

L=20+W

400=2(20+W)+2W

400=40+2W+2W

C.L.T

400-40=4W

360=4W

divide both sides by 4

4W/4=360/4

W=90m

L=20+W

L=20+90

L=110m

Answer:

pig Lol

Step-by-step explanation:

but seriously

Answer:

What the hell AC is not given so you can't find the Perimeter

Step-by-step explanation:

       x+10=0

       x=-10

AB=x+5

        AB=-5

BC=x-2

        BC=-12

Area of ABC = 30cm2

Perimeter of ABC = AB+BC+AC

The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The expected value of Hispanics in a random sample of 5,000 people in 2018 is 905, Standard deviation is 28.84 and for year 2060 is 1,430.

a. To find the expected value of Hispanics in a random sample of 5,000 people in 2018, we can multiply the percentage of Hispanics in 2018 by the sample size:

Expected value = 0.181 x 5000 = 905

To find the standard deviation, we can use the formula:

Standard deviation = \(\sqrt{np(1-p)}\)

where n is the sample size, p is the proportion of Hispanics in the population, and 1-p is the proportion of non-Hispanics.

Standard deviation = \(\sqrt{(5000 X 0.181 X 0.819)}\)= 28.84

b. To find the expected value and standard deviation projected for 2060, we can use the same formulas with the predicted percentage of Hispanics in that year:

Expected value = 0.286 x 5000 = 1,430

Standard deviation = \(\sqrt{(5000 X 0.286 X 0.714}\)= 34.97

These calculations assume that the proportion of Hispanics in the population is the only factor affecting the number of Hispanics in a random sample. In reality, other factors such as age, income, and location may also play a role in determining the makeup of a sample. Additionally, the Census Bureau predictions are subject to uncertainty and may change over time.

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Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

Answer:

60 and 38

Step-by-step explanation:

let the two numbers be X and Y

X + Y = 98-----------(1 )

X - Y = 22-----------(2)

using elimination method, subtracting equation (1) from equation (2)

X - X = 0

+Y -(-Y) = Y + Y = 2Y

98 -22 = 76

2Y = 76

dividing bothsides by 2

2Y/2 = 76/2

Y = 38

substitute Y = 38 into equation (1)

X + 38 = 98

X = 98-38 = 60

therefore, the two numbers are 60 and 38

Answer:

2

Step-by-step explanation:

1+1=2