write 10 to the power of 6 as a number

Answer:

don't know

Step-by-step explanation:

you didn't put any options g

Answer:

179.59 m³

Step-by-step explanation:

Formula for sphere volume: V=4/3πr^3

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = \(\frac{OA'}{OA}\) = \(\frac{32}{8}\) = 4

1. The monthly payments for 2 of these options are:

2. The total payments for 2 of these options are:

3. The percentage of the total amounts to be paid back as interest is:

4. The percentages above represent the aggregated interest portion of the total payments, while the APR (annual percentage interest) represents the yearly financing cost charged by the financing institution for extending credit.

5. Ramona should choose the Online Construction Business to remodel her kitchen because the total cost she will incur is less than the total cost for the Local Small Business Home Improvement Company.

Home improvement cost = $13,200

Financing:

Year 1 0% monthly payment of $100 = $1,200

Balance after Year 1 = $12,000

APR 16.99%

Remaining payment period = 3 years

N (# of periods) = 36 months

I/Y (Interest per year) = 16.99%

PV (Present Value) = $12,000

FV (Future Value) = $0

Results:

PMT = $427.77

Sum of all periodic payments = $15,399.83

Total Interest = $3,399.83

Total costs = $16,599.83 ($15,399.83 + $1,200)

Home improvement cost = $11,800

Financing:

3% origination fee = $354 ($11,800 x 3%)

APR = 7.5%

Payment period = 5 years

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 7.5%

PV (Present Value) = $11,800

FV (Future Value) = $0

Results:

PMT = $236.45

Sum of all periodic payments = $14,186.87

Total Interest = $2,386.87

Total costs = $14,540.87 ($14,186.87 + $354)

Interest as a percentage of the total payment = 16.41% ($2,386.87/$14,540.87 x 100)

Home improvement cost = $10,200

Additional applied amount = $1,000

Total = $11,200

APR = 11.9%

Payment period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 11.9%

PV (Present Value) = $11,200

FV (Future Value) = $0

Results:

PMT = $294.39

Sum of all periodic payments = $14,130.69

Total Interest = $2,930.69

Total cost = $14,130.69

Interest as a percentage of the total payment = 20.74% ($2,930.69/$14,130.69 x 100)

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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.

The equation of the function passing through the given point is

y = -8x -1

The equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope

\((x_0,y_0)\) is the point on the line

Given the equation \(y=2x^2-4x+1\)

Get the slope by differentiating at x = -1

\(m=\frac{dy}{dx} =4x-4\\m=\frac{dy}{dx} =4(-1)-4\\m=\frac{dy}{dx} =-4-4\\m=\frac{dy}{dx} =-8\)

Substitute (-1, 7) and m = -8 into the formula above to have \(y-7=-8(x+1)\)

Simplify

\(y-7=-8x-8\\y+8x = -8+7\\y+8x=-1\\y=-8x-1\)

Hence the equation of the function passing through the given point is

y = -8x -1

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Answer:

The best option for him would be a real interest rate of 5%.

Step-by-step explanation:

The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.

On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.

Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.

\(P(D/TP) = \frac{P(D \: n \: TP)}{P(TP)} \)

\(P(TP) = P(TP \: n \: D)+P(TP \: n \: FD) \\ P(TP) = 0.95×0.99 + 0.02×0.01 = 0.9407\)

\(P(D/TP) = \frac{0.9405}{0.9407} = \frac{9405}{9407} \)≈0.999787

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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The simplification of the given value in  simplest form and can not be an improper fraction is 52/15.

An object's portion of the total or group is represented by a fraction. The fractional bar is a horizontal bar that divides a fraction's numerator (the top number) and denominator (the bottom number). The total number of items in a group or the number of equally divided equal pieces of the whole is represented by the denominator.

The given value is 3 1/15 + 0.4 , then we can convert to proper fraction as :

3 1/15 = 46/15

Then we  can convert as;

0.4 = 4/10 =2/5

Then add together;  46/15 + 2/5

= 52/15

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer:

The slope of the line \(m = -\frac{1}{2}\)

The point ( x₁ ,y₁) = ( 2,1)

Step-by-step explanation:

Explanation:-

Given that the line

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

Comparing  y- y₁ = m(x-x₁)

The slope of the line \(m = -\frac{1}{2}\)

The point ( x₁ ,y₁) = ( 2,1)

The equation of the straight line

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

                   2(y-1) = -(x-2)

                    2y -2 = -x +2

                x + 2y -2-2=0

                x +2y -4=0

Final answer:-

The equation of the straight line   x+ 2y-4=0

The slope of the line \(m = -\frac{1}{2}\)

The point ( x₁ ,y₁) = ( 2,1)

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"v" varies directly with "x"}}{v = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} x=32\\ v=20 \end{cases} \\\\\\ 20=k(32)\implies \cfrac{20}{32}=k\implies \cfrac{5}{8}=k\hspace{8em}\boxed{v=\cfrac{5}{8}x} \\\\\\ \textit{when x = 24, what's v?}\qquad v=\cfrac{5}{8}(24)\implies v=15\)

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

multiplying a number by 2 and dividing it by 3.. let's think for a moment

take the equation: 2x/3

dividing is the same as multiplying by a fraction, so let's take the "divide by 3" and turn it into a fraction!

new equation: 2x*\(\frac{1}{3}\)

now, we can take the coefficient, 2, and slap it onto the top of the fraction

equation: x*\(\frac{2}{3}\)

boom! I hope this helped you

Explanation:

Drawing out a diagram usually helps with these types of problem. See the diagram below.

We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.

The discount price of the shirt will be $15.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

From the information, the store offers a 25% discount and the regular price of a t-shirt is $20. Therefore, based on the information illustrated, the main points to note will be:

Discount = 25%

Regular price = $20.

In this case, the discount price will be the difference between the regular price and the discount.

The discount price will be:

= Regular price - Discount

= $20 - ($20 × 25%)

= $20 - $5

= $15

The price is $15.

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Complete question

everything at a store is on sale. The store offers a 25% discount. The regular price of a t-shirt is $20. What is the discount price? Please help me

Answer:

Below

Step-by-step explanation:

Center (h,k)   is - 2, -2     radius is   1

Equation for a circle with center (h,k) and radius r    is  :

       (x-h)^2 + (y- k )^2 = r^2   <====you have to learn/remember this

 Plug in the values above to get

(x+2)^2  + (y+2)^2 = 1

Answer:

(x+2)^2+(y+2)^2=0.5625

Step-by-step explanation:

trust

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

The rule (x,y) -> (x - 10, y - 4) represents a translation of 10 units left and 4 units down.

The four translation rules are defined as follows:

Hence the meaning of each translation in the context of this problem is given as follows:

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Answer:

RT = 81

Step-by-step explanation:

RT = RS+ST

13y – 23 = ( 6y+2) + (3y+7)

13y – 23 = 9y +9

13y – 9y = 9+23

4y = 32

y = 32/ 4

y=8

RT= 13y – 23 = 13 (8) – 23 = 104 – 23 = 81

___o___o___

If you want RS , ST

RS = 6y +2 = 6(8)+2 = 48 +2=50

ST = 3y +7 = 3(8) +7 = 24 + 7 =31

I hope I helped you^_^

cost of small car=$3

cost of large car=$5*3

he wants to buy one of each:

euquation for cost two cars(a)= $3+(5*$3)

The simplification of the given expression

\(5 \sqrt[3]{250} - 3 \sqrt[3]{686} \)

is

\( = 4 \sqrt{2} \)

\(5 \sqrt[3]{250} - 3 \sqrt[3]{686} \)

\( = 5 \sqrt[3]{125 \times 2} - 3 \sqrt[3]{343 \times 2} \)

\( = 5 \times 5 \sqrt{2} - 3 \times 7 \sqrt{2} \)

\( = 25 \sqrt{2} - 21 \sqrt{2} \)

\( = 4 \sqrt{2} \)

Consequently,

\(4 \sqrt{2} \)

is the answer to the given expression.

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Answer:

formula 8.334

Step-by-step explanation: formula 8.334 so

Answer:172 cm²

Step-by-step explanation:

when we use the formula, and we can  solve out is like 172.05 and round to tenth and will have the answer

Formula is 1/2 × p × a  

Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation: