Write the algebraic expression to represent the following:
'Twenty more than twice a number .'

Answer:

3

Step-by-step explanation:

Answer:

h = √18 (4.24)

Step-by-step explanation:

Theorem = a² + b² = c²

√34 - 4² = a²

√34 - 16 = a

√34 - 16 = 18

√18 = 4.2426406871192851464050661726291 (Rounded to nearest hundreth: 4.24; nearest tenth: 4.2; nearest one: 4)

Rounding to the nearest tenth, the yield on a 2-year Treasury note is approximately 7.3%. Option b

The yield on a 2-year Treasury note can be calculated by adding up the various components that contribute to the yield. The real risk-free rate is given as 3%, and the inflation rates for this year and next year are 4% and 5% respectively. Additionally, the maturity risk premium is estimated to be 0.20(t-1)%, where t is the number of years to maturity.

To calculate the yield on a 2-year Treasury note, we need to consider the real risk-free rate, inflation expectations, and the maturity risk premium. The yield will be the sum of these components.

In this case, since the maturity is 2 years (t = 2), the maturity risk premium would be 0.20(2-1) = 0.20%.

Therefore, the yield on a 2-year Treasury note would be:

Yield = Real risk-free rate + Inflation rate + Maturity risk premium

= 3% + 4% + 0.20%

= 7.30%

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The correct answer is option (D).

To find from graph below which functions.

Coordinate geometry is defined as the study of geometry using the coordinate points.

First at the left side of the graph. The shape that it is an \(x^{3}\)  function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.

So, the answer is Option (D).

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

A. square root of 3 times 5

Step-by-step explanation:

Answer:

3r/s

Step-by-step explanation:

Answer:

b = 25°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

b + 110° + 45° = 180°

b + 155° = 180° ( subtract 155° from both sides )

b = 25°

Based on the given information, it seems that you want to determine if the average salary of all entry-level computer engineers is significantly different from $80,000 at a 10% level of significance.

To do this, you can perform a hypothesis test using these steps:

1. State the null hypothesis (H0): The average salary is equal to $80,000.
2. State the alternative hypothesis (H1): The average salary is different from $80,000.
3. Choose a 10% level of significance (α = 0.10).
4. Calculate the test statistic and corresponding p-value using the sample data.
5. Compare the p-value to the level of significance (α).
6. Draw a conclusion:

- If the p-value is less than or equal to α (0.10), you reject the null hypothesis (H0) and conclude that there is significant evidence that the average salary of all entry-level computer engineers is different from $80,000.
- If the p-value is greater than α (0.10), you fail to reject the null hypothesis (H0) and cannot conclude that the average salary is significantly different from $80,000.

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The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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Answer:

-67/540

Step-by-step explanation:

I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.

The standard deviation for the given Poisson distribution is 0.8.

A Poisson distribution is used to model the number of events occurring in a fixed time interval when the events occur independently and at a constant rate. The mean and variance of a Poisson distribution are equal, and both are given by λ, the rate parameter.

Here, the given information is that the company receives an average of 0.64 purchase orders per minute. Therefore, λ = 0.64.

The formula for the variance of a Poisson distribution is σ² = λ, where σ is the standard deviation. Thus, substituting λ = 0.64 in this formula, we get σ² = 0.64. Taking the square root of both sides, we get σ = √0.64 = 0.8.

Therefore, the correct answer is 0.8.

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Answer:

looooookkkkkk at the picture

Answer:

No picture?

Step-by-step explanation:

i need a picture to anwser

a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.

b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.

c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.

d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.

a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.

b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.

c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.

d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.

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Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

Answer:

7.

area of parallelogram=base×height=19×7.8=148.2yd²

8.

area of semi circle=1/2[π(d/2)²]=

π×44²/8=760.265in²

9.

area of rectangle =length ×breadth

=16.4×11.8=193.52ft²

10.

area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²

Area of the given shapes are:

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, Four shapes and we need to calculate the area.

For parallelogram:

area of parallelogram = base×height

area of parallelogram = 19×7.8 = 148.2yd²

For, Semicircle:

area of semi circle= 1/2 [π(d/2)²]

area of semi circle= π×44²/8 = 760.265 in²

For Rectangle:

area of rectangle = length ×breadth

area of rectangle = 16.4×11.8 = 193.52 ft²

For triangle:

area of triangle = 1/2 ×base×height

area of triangle = 1/2×20.4×14.6 = 148.92in²

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Here, we have two pairs of similar triangles.

Let's find the values of x and y.

• Sol,vin,g for x:

Given:

Length of longer base = 9

Length of shorter base = 5

Length of smaller leg = 8

Let's solve for x.

Since the triangles are similar, the corresponding sides will be in proportion.

To solve for x, apply the proportionality equation:

Cross multiply and solve for x:

• Solving for y:

Given:

Length of longer base = 3

Length of longer leg = 6

Length of smaller leg = 4

Length of total base = y

To solve for y, we have the equation:

Cross multiply and solve for y:

ANSWER:

• x = 12

• y = 5

Answer: 63 inches tall

Step-by-step explanation:

Using the pythagorean theorem (a^2+b^2=c^2)

b = 60 and c = 87

so the equation is a^2 + 60^2 = 87^2

a = 63

Aiden is 63 inches tall

Answer:

Step-by-step explanation:

Complementary angles add up to 90 degrees:

Answer:

Step-by-step explanation:

We know that:

Verification for all options:

After verifying all options, Option C is the most suitable option.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

187.5 pounds are in 3000 ounces

Step-by-step explanation:

The answer will be 187.5 pounds

Option (B) is the correct answer.

A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is given by option (B).That is;Option (B) represents the equation that represents the equivalent annual worth A in years I through 4.

The formula for equivalent annual worth is given by;A = PW (A/P, i, n) + F(A/F, i, n)where,PW = Present WorthF = Future WorthA/P = Present Worth FactorA/F = Future Worth Factori = interest raten = number of yearsSo,A = 8000(P/A, 10/2,2) + 10000(F/A, 10/2,4)A = 8000(3.1051) + 10000(0.6848)A = 24,840.80 + 6848A = $31,688.80The equation that represents the equivalent annual worth A in years I through 4 is represented by the option (B);A = 8000(P/A, 10.25/2,2) + 10000(F/A, 10.25/2,4).

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There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

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Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Here,

Given: Total number of freshman =500

mean =75 and standard deviation =7

a) the percentage of scores that fell between 68 and 82

340 is the number of freshman whose  scores that fell between 68 and 82

thus,

percentage = 340 /500 * 100

=> percentage = 68%

b)the percentage of scores that fell between 61 and 75

237 is the number of freshman whose  scores that fell between 61 and 75

thus,

percentage = 237/500 * 100

=> percentage = 47.4%

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

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A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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Answer:

see steps

Step-by-step explanation:

New price  was increase from 100% to 109% at £1800.

By proportionality,

old price / 100% = 1800 / 109%

Cross multiply to get

old price = $1800 * 100% / 109% = £1651.38

Answer:         6.551467

Step-by-step explanation:

Answer:

6.551

Step-by-step explanation:

Formula: for an approximate result, divide the volume value by 3.785

Answer:

1st option

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁ )

where m is the slope and (x₁, y₁ ) a point on the line

Here m = 3 and (x₁, y₁ ) = (1, 4 ) , then

y - 4 = 3(x - 1)

Answer:

A , B, E   1,2,5

Your the welcome my audience

Step-by-step explanation:

Answer:

a b e

Step-by-step explanation:

just believe me you $exy hunky man

Answer:

Step-by-step explanation:

32.16 / 4 = 8.04

$8.04

Math.ceil(5.5) evaluates to A. 6. This is because the ceil() method in the Math object returns the smallest integer greater than or equal to the given number.

In this case, the given number is 5.5, and the smallest integer greater than or equal to it is 6. It's important to note that the returned value is an integer, not a float or a string; hence, the answer is 6 rather than 6.0 or 5.0. This method is proper when you must round up a number to the nearest integer.
Math.ceil(5.5) evaluates a value by rounding it up to the nearest integer. In this case, the function rounds the given value, 5.5, to the closest integer that is greater than or equal to it.
The available options are:
A. 6
B. 6.0
C. 5.0
Now, let's apply the Math.ceil() function:
Math.ceil(5.5) = 6
So, the correct answer is A. 6.

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