PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answer:

the answer is x = sqrt 48

Step-by-step explanation:

Answer:

  3500 mL = 3 1/2 L

Step-by-step explanation:

1 L = 1000 mL

3 1/2 L = (3 1/2)(1000 mL) = 3500 mL

  3500 mL = 3 1/2 L

_____

Additional comment

The SI prefix "m" is an abbreviation for "milli-", meaning 1/1000. That is, 1 mL = 1/1000 L, or 1 L = 1000 mL.

Answer:

1k

Step-by-step explanation:

-6k+7k=1k

or

7k-6k=1k

Answer:

The answer would be found by adding -6  and 7 k so itd be 1k or just k

Answer:

62.5 mph

Step-by-step explanation:

rate * time = distance

50 * 3 = 150 mi

70 * 5 = 350 mi

total miles = 500 mi

 total time = 8 hrs

Average = 500 mi / 8hr = 62.5 mi / hr

Based on the progressive tax rates, the state income tax owed on an $80,000 per year salary is $4,342.50.

With the progressive tax system, the tax rates increase as the taxable income of the eligible tax payer increases.

Thus, the progressive tax system does not impose a flat rate or amount on the tax payer.  Individuals with lower incomes pay less taxes.

Income Progressive Range ($)   Tax Rate

0 - 3000                                           2%

3001 - 5000                                     3%

5001 - 17,000                                   5%

17,001 and up                                  5.75%

Annual salary = $80,000

State Income Tax:

Income               Tax

$3,000 x 2% = $60

$2,000 x 3% = $60

$12,000 x 5% = $600

$63,000 x 5.75% = $3,622.50

$80,000   =       $4,342.50

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1. Therefore, the exact value of cos(105°) is (√2 - √6)/4.

2. Therefore, the exact value of sin(75°) is (√6 + √2)/4.

3. Therefore, the exact value of tan(105°) is (√3 + 1)/(3 - √3).

4. Therefore, the exact value of cos(105°)cos(15°) is (2 + 2√3)/8.

A branch of mathematics known as trigonometry is concerned with the study of triangles and the correlations between their sides and angles.

It entails computing different triangle measurements and attributes using trigonometric functions including sine, cosine, and tangent.

Trigonometry is an essential component of calculus and other advanced mathematical studies, and it has applications in many disciplines including engineering, physics, navigation, astronomy, and architecture.

1. We can use the formula cos(A + B) = cos(A)cos(B) - sin(A)sin(B) with A = 60° and B = 45°. Then:

cos(105°) = cos(60° + 45°)

= cos(60°)cos(45°) - sin(60°)sin(45°)

= (1/2)(√2/2) - (√3/2)(√2/2)

= (√2 - √6)/4

Therefore, the exact value of cos(105°) is (√2 - √6)/4.

2. We can use the formula sin(A + B) = sin(A)cos(B) + cos(A)sin(B) with A = 45° and B = 30°. Then:

sin(75°) = sin(45° + 30°)

= sin(45°)cos(30°) + cos(45°)sin(30°)

= (√2/2)(√3/2) + (√2/2)(1/2)

= (√6 + √2)/4

Therefore, the exact value of sin(75°) is (√6 + √2)/4.

3. We can use the formula tan(A + B) = (tan(A) + tan(B))/(1 - tan(A)tan(B)) with A = 60° and B = 45°. Then:

tan(105°) = tan(60° + 45°)

= (tan(60°) + tan(45°))/(1 - tan(60°)tan(45°))

= (√3 + 1)/(3 - √3)

Therefore, the exact value of tan(105°) is (√3 + 1)/(3 - √3).

4. We can use the formula cos(A + B) = cos(A)cos(B) - sin(A)sin(B) with A = 60° and B = -45°. Then:

cos(105°)cos(15°) = cos(60° - 45°)cos(15°)

= [cos(60°)cos(-45°) - sin(60°)sin(-45°)]cos(15°)

= [(1/2)(√2/2) - (√3/2)(-√2/2)]cos(15°)

= (√2 + √6)/4 * cos(15°)

= (√2 + √6)/4 * (√6 + √2)/4

= (2 + 2√3)/8

Therefore, the exact value of cos(105°)cos(15°) is (2 + 2√3)/8.

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Answer:

Justin, Louise, Franklin

Step-by-step explanation:

Solution:

From the properties of a Rhombus;

Opposite angles of a rhombus are equal.

The adjacent angles of a rhombus are supplementary, i.e. adds up to 180°

If one of the angles of a rhombus 120°, and the sum of the adjacent angles is 180°, then, the adjacent angle will be 60° (180° - 120° = 60°)

If one of the angles of a rhombus is 30°, then, the adjacent angle will be 150° (180° - 30° = 150°)

Thus, the sum of 120° and 30° is not supplementary and definitely can not be adjacent, since they do not sum up to 180°.

Hence, it is not possible

Answer:

have a great day

god is great

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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EXPLANATION:

The volume of a rectangular prism is given by the formula

The values will be:

Thus, the volume of the prism is

Thus, the answer is 5400 inches³

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

Answer:

Scale Factor is 2.5

Step-by-step explanation:

The critical values for a 99% confidence interval using the chi-square distribution with 10 degrees of freedom are 18.3278 and 28.3092.

The chi-square distribution is a continuous probability distribution that is used to determine the probability of a statistic being greater than or less than a certain value. The chi-square distribution with 10 degrees of freedom is used to calculate critical values for a 99% confidence interval.

To find the critical values, we need to use the chi-square distribution calculator. In the calculator, we should enter the degrees of freedom, which is 10 in this case, and the confidence level, which is 99% in this case. The calculator will then return the critical values for the 99% confidence interval for a chi-square distribution with 10 degrees of freedom, which are 18.3278 and 28.3092.

Step 1: Go to the chi-square distribution calculator.

Step 2: Enter the degrees of freedom, which is 10 in this case.

Step 3: Enter the confidence level, which is 99% in this case.

Step 4: Click the “Calculate” button.

Step 5: The calculator will return the critical values for a 99% confidence interval for a chi-square distribution with 10 degrees of freedom, which are 18.3278 and 28.3092.

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The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

Answer:

  (b)  $42.79

Step-by-step explanation:

You want the monthly interest charge on a balance of $1834.50 when the annual rate is 27.99%.

The monthly interest rate is the annual rate divided by 12. This means the interest charge is ...

  I = Prt . . . . . interest on P at annual rate r for t years

  I = $1834.50 × 0.2799 × 1/12 ≈ $42.79

Her monthly interest charge will be $42.79.

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

\(x = -\frac{7 + 2z}{(y + 1)}\)

Step-by-step explanation:

-2z - xy = x + 7

Add 2z to both sides:

-2z + 2z - xy = x + 7 + 2z

-xy = x + 7 + 2z

Next, subtract x from both sides:

-xy - x  = x - x + 7 + 2z

- xy - x = 7 + 2z

Factor out -x from the left-hand side of the equation:

- x(y + 1) = 7 + 2z

Divide both sides by - (y + 1) to isolate x:

\(\frac{x(y + 1)}{- (y + 1)} = \frac{7 + 2z}{-(y + 1)}\)

\(x = -\frac{7 + 2z}{(y + 1)}\)

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The amount of profit that will be reinvested is 5/12 million.

Profit is the excess of revenue over cost.

Profit = revenue - total cost

In order to determine the profit that will be reinvested, multiply the fraction that is reinvested by the value of the profit.

Amount that will be reinvested = profit x fraction that is reinvested

1 1/4 x 1/3 =

5/4 x 1/3 = 5/12 million

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Percentage equivalent to fraction is found by multiplying the fraction with 100.

Given,

Percentage equivalent of fraction,

Let us take few fractions and convert them into their percentage equivalent.

Example,

Fractions                                                       Percentage equivalent

Hence multiply the given fraction with 100 to get its percentage equivalent.

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f(x, y) = 3x + 2y + C

To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.

The gradient of the function f(x, y) is given by

∇f(x, y) = (∂f/∂x, ∂f/∂y)

If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:

F(x, y) = ∇f(x, y)

Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.

∂F/∂x = ∂(6x + 5y)/∂x = 6

∂F/∂y = ∂(5x + 4y)/∂y = 4

The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).

To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.

f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy

= ∫6dx + ∫4dy

= 3x + 2y + C

where C is the constant of integration. So the potential function for a given vector field is

f(x, y) = 3x + 2y + C

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Answer:

Investment is a source of Income.

Self Employment Income

Answer: Business ownership

Step-by-step explanation: took the quiz

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:

QRST becomes Q prime, R prime, S prime, T prime.

Step-by-step explanation:

Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.

Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)