Use the interactive to find an expression equivalent to 4x – 4 – 2x 3. 2x – 1 6x – 1 2x – 7 –2x 3.

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

Answer:

\(A=\$77765.69\)

Step-by-step explanation:

Let the principal/initial value be \(P=\$25300\), the number of times the interest is compounded per year be \(k=12\), and the annual interest rate be \(r=4.5\%=0.045\) where we need to plug in \(t=25\):

\(\displaystyle A=P\biggr(1+\frac{r}{k}\biggr)^{kt}\\\\A=\$25300\biggr(1+\frac{0.045}{12}\biggr)^{12(25)}\\\\A\approx\$77765.69\)

Answer:

y = 4x - 5

Step-by-step explanation:

Use the point slope form and add in the ordered pairs \(\frac{3 + 1}{2 - 1}\) , and once you solve this it equals \(\frac{4}{1}\), or just 4. Now you have the first part of your equation, y = mx + b, but now you have y = 4x + b. To find b, substitute the x and y values of one of the given ordered pairs in for x and y in the equation, and I am using (2,3). The equation now looks like this: 3 = 4(2) + b. Now solve: 3 = 8 + b

Subtract 8 from both sides to get -5 = b. Now you have a full equation: y = 4x -5

Total Profit for producing (and selling) q units is P(q) = [q x (R–MC–LC)] – FC

The above formula for computing the profit involves the 3 steps given below.

First, the contribution per unit (C p.u) is computed by reducing the per unit cost of material and labor from the revenue per unit.

Secondly, the value determined in the first step (C p.u) is multiplied by the total production or units to compute the total profit excluding the fixed costs (FC).

In the last step, the FC is deducted from the total contribution or profits to compute the total operating profit.

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The future value of an annuity with a payment of $1,800 per month, compounded monthly at an interest rate of 1.50% for 2 years is approximately $43,415.17.

An annuity is a series of payments made at regular intervals, such as monthly, quarterly or annually. The future value of an annuity is the total value of all the payments at a specific future date. To calculate the future value of an annuity, we need to use the formula:

FV = PMT x [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

PMT = Payment amount

r = Interest rate per period

n = Number of periods

In this case, the payment amount (PMT) is $1,800, the interest rate per period (r) is 1.50% compounded monthly, and the number of periods (n) is 2 years, which is equivalent to 24 months.

First, we need to calculate the monthly interest rate (i) from the annual interest rate (r) using the formula:

i = r / 12

i = 1.50% / 12 = 0.125%

Next, we can plug the values into the formula for the future value of an annuity:

FV = $1,800 x [(1 + 0.125%)^24 - 1] / 0.125%

FV = $1,800 x (1.0125^24 - 1) / 0.00125

FV = $43,415.17 (rounded to the nearest cent)

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Step-by-step explanation:

-1 +2=+1

1 + (-2) =-1

-1- 2=-3

1- (-2) =+3

For the given line y = 1/2x - 4,

Consider a line with the equation ax+by+c=0

It is given that, the equation of a line is given as y = 1/2x - 4.

The slope of the given line is m = 1/2; (since it is in the form of y=mx+c)

Then, the slope of the line parallel to the given line is m = 0.

And the equation of the parallel line passing through the point (-4, 2) is

a(x - x1) + b(y - y1) = 0; where a = 1; b = -2 (y = 1/2x-4 ⇒ 2y = x - 8)

⇒ 1(x + 4) - 2(y - 2) = 0

⇒ x + 4 -2y + 4 = 0

⇒ x - 2y +8 = 0

So, the point on the parallel line is (0, 4).

The slope of the line perpendicular to the given line is m = -1/1/2 = -2.

And the equation of the perpendicular line passing through the point (-4, 2) is

b(x - x1) - a(y - y1) = 0; where a = 1; b = -2;

⇒ -2(x + 4) - 1(y - 2) = 0

⇒ -2x - 8 - y +2 = 0

⇒ y = -2x - 6

So, the point on the perpendicular line is (-2, -2).

All of these are shown in the graph below:

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Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The correct answer is probability that it would take exactly 3.7 hours to construct a soapbox derby car is approximately 0.7580.

To find the probability that it would take exactly 3.7 hours to construct a soapbox derby car, we can use the standard normal distribution.

First, we need to standardize the value 3.7 using the z-score formula:

z = (x - μ) / σ

where x is the value (3.7), μ is the mean (3), and σ is the standard deviation (1).

Substituting the values into the formula, we get:

z = (3.7 - 3) / 1 = 0.7

Next, we need to find the probability corresponding to this z-score using a standard normal distribution table or a calculator. The probability corresponds to the area under the curve to the left of the z-score.

Using a standard normal distribution table, the probability corresponding to a z-score of 0.7 is approximately 0.7580.

Therefore, the probability that it would take exactly 3.7 hours to construct a soapbox derby car is approximately 0.7580.

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The man's velocity relative to the shore while crossing the river is 2.11 m/s, 344° north of east. This means that he is moving at a speed of 2.11 m/s in a direction that is 344° north of east.

When the man is rowing across the river, his velocity consists of two components: the velocity due to rowing northward and the velocity due to the river current pushing him eastward. These two velocities combine to give him a resultant velocity relative to the shore. To find this resultant velocity, we can use vector addition.

The velocity due to rowing northward is given as 0.75 m/s, which is directly north. The velocity due to the river current is unknown, but we know the man reaches point C, 150 m downstream from his starting point. This means the river current has pushed him 150 m eastward during the crossing.

Using the Pythagorean theorem, we can find the magnitude of the resultant velocity:

Resultant velocity = √((0.75 m/s)^2 + (150 m)^2) ≈ 150.26 m/s

To find the direction, we can use trigonometry:

θ = arctan((0.75 m/s) / (150 m)) ≈ 0.29°

Since the man is rowing northward and is pushed slightly eastward by the river current, the direction of the resultant velocity is slightly east of north. Adding this to the 90° north gives us the final direction of 90.29° or approximately 344° north of east.

Therefore, the man's velocity relative to the shore while crossing the river is 2.11 m/s, 344° north of east.

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Answer:

(4,2)

Step-by-step explanation:

(4)-4(2)=-4

5(4)-4(2)=12

Option A is correct, The y-intercepts are the same, but the rates of change are different.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope intercept form of I is y=6x-1

Now let us find for the 2nd line

The line passing from (1, 0) and (0, -1)

Slope=-1/-1

=1

Now let us find y intercept

0=1(1)+b

b=-1

So the slope intercept form is y=x-1

Hence, By comparing both lines we get to know that the y-intercepts are the same, but the rates of change are different.

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The coordinates of the exponential equation are A ( 2 , 640 ) , B ( 3 , 512 ) and C ( 4 , 409.6 )

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first point be A ( 0 , 1000 )

Let the second point be B ( 1 , 800 )

Now , the exponential equation be represented as A

y = abˣ   be equation (1)

Substitute the value of x = 0 and y = 1000

1000 = ab⁰

So , the value of a = 1000

Substitute the value of x = 1 and y = 800

800 = ab¹

b = 800/1000

b = 0.8

So , the equation is y = 1000 ( 0.8 )ˣ  

Now , at the point A , the value of x = 2

So , y = 1000 ( 0.8 )²

y = 1000 x 0.64

y = 640

So , the point is A ( 2 , 640 )

Now , at the point B , the value of x = 3

So , y = 1000 ( 0.8 )³

y = 1000 x 0.512

y = 512

So , the point is B ( 3 , 512 )

Now , at the point C , the value of x = 4

So , y = 1000 ( 0.8 )⁴

y = 1000 x 0.4096

y = 409.6

So , the point is C ( 4 , 409.6 )

Hence , the coordinates are A ( 2 , 640 ) , B ( 3 , 512 ) and C ( 4 , 409.6 )

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The amount of feet of border that she needs to purchase is given as follows:

20 feet.

The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:

P = 4s.

All the sides measure 5 feet, hence the parameter s is given as follows:

s = 5.

Then the perimeter of the square plot is given as follows:

P = 4 x 5

P = 20 feet.

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c. The estimated correlation coefficient is -0.96.

d. The data suggests a strong negative correlation between altitude and outside air temperature. As the altitude increases, the temperature decreases consistently.

By analyzing the given data, we can estimate the correlation coefficient between altitude and outside air temperature to be approximately -0.96.

The strong negative correlation between altitude and outside air temperature indicates that as the altitude increases, the temperature tends to decrease. The consistent pattern observed in the data supports this relationship.

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Answer:

Step-by-step explanation:

The graph of a function should pass the vertical line test in order to be a function.

Option A

Option B

Option C

Option D

The rule is .

Every domain of the function should have an unique range i.e f(x)=y

#1

f(14) has two values hence not a function

#2

f(15) has two values hence not a function

#3

f(16) has two values hence not a function

#4

Yes it's a function,every domain has an unique range

Answer:

the last option of 135°.

Step-by-step explanation:

The total degree of the rectangle is 360°. But it was sliced, so with the remaining measurements, subtract each of them from 360°.

90°+90°+45°+x°=360°

225°+x°=360°                 add all of the values on the left side, then subtract 225 on both sides to solve for the value of x°.

x°=135°

Answer:

a

Step-by-step explanation:

it sows that for every 1.35n the N represents the amount ordered

Answer:

x>-5

Step-by-step explanation:

5-3x<20

-5 -5

-3x<15

x>-5(you switch sign when divided by a negative number)

55 kilograms weight is equivalent to 121.25 pounds.

To convert kilograms (kg) to pounds (lbs), you can use the conversion factor of 1 kg = 2.20462 lbs. So to convert 55 kg to pounds, you would multiply 55 by 2.20462. This gives you the equivalent weight of 121.25 pounds.

It's worth noting that the kilogram is the standard unit of mass in the International System of Units (SI), while the pound is a unit of mass commonly used in the United States and United Kingdom. The conversion factor is constant and always the same.

It's useful to know the conversion factor when you are working with measurements in different units. The conversion factor can be memorized or looked up in a conversion table or calculator. It's important to use the correct unit of measurement when working with weights in different contexts.

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Number of measurements that must be made so that the diameter can be estimated with an uncertainty of only 0.5 mm is 16

To estimate the diameter with an uncertainty of 0.5 mm, we need to reduce the uncertainty to that level. Let's call the number of measurements we need to make "N". We can use the formula for the standard deviation of the mean

σ_mean = σ / sqrt(N)

where σ is the standard deviation of the individual measurements. In this case, the uncertainty of each measurement is given as 1.4 mm, which we can assume is the standard deviation.

To reduce the uncertainty to 0.5 mm, we need

0.5 = 1.4 / sqrt(N)

Solving for N, we get

N = (1.4 / 0.5)^2 = 15.68

≈ 16

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Answer:

y = 3 + 5x

Step-by-step explanation:

y - 5x = 3 ( isolate y by adding 5x to both sides )

y = 3 + 5x

The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.

The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:

Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years

In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.

Plugging in these values into the formula, we get:

Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465

Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.

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The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.

An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.

The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.

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Answer:

Step-by-step explanation:

Sales tax is assessed on total sales on behalf of the government.

Answer:

A percentage of total sales that is collected on behalf of the state, county, or local government

Step-by-step explanation:

Where else would the taxes go?

Answer:

4

Step-by-step explanation:

Open bracket

(173/346)¯² =(1/2)¯²

Answer:

p = 1

Step-by-step explanation:

p - 1 = 5p + 3p - 8(collect like terms)

p - 1 = 8p - 8(add 1 on each side)

p = 8p - 7(subtract 8p on each side)

-7p = -7 (divide by -7)

p = 1