write 25 x 10 to the power of 6 in standard form

Answer:3

Step-by-step explanation:beacause if you wash 3 car in 50 minutes it i doubt he would do a extra car in 10 mins

Answer:

ano ba need mo? tulongan kita

Answer:

A. 3.75x + 5y

B. $1,168.75

Step-by-step explanation:

x: Gatorade

y: pizza

3.75(113)+5(149) = 423.75+745

= $ 1,168.75

True. The DMAIC approach, which stands for Define, Measure, Analyze, Improve, and Control, is an effective problem-solving methodology used in Six Sigma.

Step 1: Define: Establish the problem to be solved and the goals of the project.

Step 2: Measure: Collect data related to the problem.

Step 3: Analyze: Analyze the data to identify the root cause of the problem.

Step 4: Improve: Develop and implement solutions to address the root cause of the problem.

Step 5: Control: Monitor the process to ensure that the problem remains resolved and that the improvements are sustained.

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Answer:

13

Step-by-step explanation:

11+2^2 -2

= 11+4-2

= 15-2

= 13

Answer:

17s + 68.

Step-by-step explanation:

17s - 10 + 3(25 + 1)

= 17s - 10 + 3 * 26

= 17s - 10 + 78

= 17s + 68.

Hope this helps!

Answer:

its b 23s - 7

Step-by-step explanation:

took the test

Answer:

x= 2, y= 1

Step-by-step explanation:

3x -y= 5 -----(1)

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

(1) +(2):

3x -y -x +y= 5 -1

2x= 4

Divide both sides by 2:

x= 4 ÷2

x= 2

Substitute x= 2 into (2):

-2 +y= -1

y= -1 +2

y= 1

Answer:

-14 and -2

Step-by-step explanation:

So first off you have to find two numbers that when multiplied equal 28. 4 and 7? Well, those wouldn't add up to -16. 14 and 2 work best. Now since it is -16 and not 16, both numbers need to be negatives since two negatives equal a positive.

The answer would be -14 and -2.

Hope this helps!

Answer:

Step-by-step explanation:

Term            Coefficient

3a                    3

-8n                   -8

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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The longest a blender can last and still be in the lowest 6% of lifespans is 9.5 years.

This is calculated by subtracting 2.9 years (the standard deviation) from 8.2 years (the mean) and adding 1.75 standard deviations (6% of 2.9 years). This means that any blender that lasts longer than 9.5 years is in the top 94% of all blenders.

To calculate the longest a blender can last and still be in the lowest 6% of lifespans, we can use the following steps:

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Step-by-step explanation:

you don't know the meaning of

\(y = {h}^{ - 1} (x)\)

it means it is the inverse function to h(x).

the regular function assigns an y value to every x value.

the inverse function now turns this around and finds for a given y value the original x value.

so, the inverse function is easier understood, if we would write it

\(x = {h}^{ - 1} (y)\)

but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).

just, the understanding of an inverse function is a I just described it.

that means for the points, simply x and y values trade places.

the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).

and the point (3, 2) turns into (2, 3).

so, move the 2 green dots to these coordinates.

Answer:

This looks hard.

Step-by-step explanation:

I know because it is very hard.

Answer:

108

Step-by-step explanation:

Since 3n is a perfect square, that means that n has to be a multiple of 3. Since 2n is a perfect cube, then n has to be divisible by 2^2=4. Since n is a multiple of 3, then n also has to be divisible by 3^3=27. Therefore, the smallest value for n is 4*27=108.

From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.

If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:

a + b - b = c - b

a = c - b

Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.

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Answer:

Acute Scalene

Step-by-step explanation:

To add scientific notation with different exponents, you need to adjust the exponents so that they are equal. Once the exponents are aligned, you can add or subtract the corresponding coefficients.

First, identify the numbers in scientific notation that you want to add. Let's say you have two numbers, A and B, expressed in scientific notation as A x 10^n and B x 10^m, where n and m are the exponents.

To add these numbers, you need to adjust one of them so that the exponents are the same.

Choose the number with the smaller exponent and multiply both its coefficient and exponent by the appropriate power of 10 to match the exponent of the other number.

For example, if n < m, you would multiply number A by \(10^{m-n}\), which means multiplying the coefficient of A by \(10^{m-n}\) and keeping the exponent of 10 as n.

Once the exponents are aligned, you can add or subtract the coefficients of the adjusted numbers.

This will give you the final result in scientific notation.

It's important to note that if the exponents are significantly different, adjusting the exponents may involve multiplying or dividing by large powers of 10, which can affect the precision of the final result.

Therefore, it's advisable to retain the appropriate number of significant figures in your calculations.

In summary, to add scientific notation with different exponents, you adjust one of the numbers by multiplying its coefficient and exponent by an appropriate power of 10 to match the exponent of the other number.

Then, you can add or subtract the coefficients and express the result in scientific notation.

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The given data in this problem allows for the creation of a system with three variables, that represent the earnings from the sales in the three days, by solving this system we can obtain these following sale prices:

The sale price for each sweater is obtained solving a system of equations.

The variables of the system of equations are given as follows:

Considering the profits for each day, along with the amounts of each sweater sold, the equations that compose the system are given as follows:

Inserting these three equations into a calculator, the solution to the system of equations is given as follows:

x = 15, y = 20, z = 45.

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New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

Zoe; 3x/10

Yolansa; 7x/10

\(\frac{7x}{10}\) - \(\frac{3x}{10}\) = 64

Simplifying this gives;

\(\frac{4x}{10}\) = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has \(\frac{7}{10}\) × 160 = $112

Zoe has \(\frac{3}{10}\) × 160 = $48

Yolanda now gives \(\frac{1}{4}\) of her money to Zoe.

Thus, she gives out \(\frac{1}{4}\) × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

76:84

Simplifying this ratio gives;

19:21

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We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

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Answer:

18 mi^2

...

...

...

...

...

Answer:

  42 square miles

Step-by-step explanation:

The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.

The area of the triangle at the top of the figure is ...

  A = 1/2bh

  A = 1/2(6 mi)(3 mi) = 9 mi²

The area of the overall rectangle (including the space at lower right) is ...

  A = LW

  A = (9 mi)(5 mi) = 45 mi²

The area of the rectangle at lower right that is not included in the shaded area is ...

  A = LW

  A = (4 mi)(3 mi) = 12 mi²

The total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.

  total area = 9 mi² +45 mi² -12 mi² = 42 mi²

The area of the figure is 42 square miles.

_____

Additional comment

Other ways to divide the figure into two rectangles are ...

The particular solution to the given nonhomogeneous differential equation is yp(t) = -t - 5\(e^{(-x)}\)\(e^{(-x)}\).

In order to evaluate a solution for the required question we have to implement the method of undetermined coefficient,

so,

yc(t) = c'1\(e^{(-t)cos(2t)}\) +  c'2\(e^{(-t)sin(2t)}\)

let us consider a particular form

yp(t) = At + B\(e^{(-x)}\)

staging the first derivative and the second derivative

yp'(t) = A - B\(e^{(-x)}\)

yp"(t) = -B\(e^{(-x)}\)

staging the values

-B\(e^{(-x)}\) + 4(A - B\(e^{(-x)}\)) + 5(At + B\(e^{(-x)}\))

= -5x + 5\(e^{(-x)}\)

using simplification

(4A + 5B)t = -5x

(-A + B)\(e^{(-x)}\)) = 5\(e^{(-x)}\)

finding the values of A and B

A = -1 and B = -5

The particular solution to the given nonhomogeneous differential equation is yp(t) = -t - 5\(e^{(-x)}\).

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Answer:

hdssssssxkjcuhhcmdccnsjcncjsc

Step-by-step explanation:

In order to determine if the point (20,13) is on the line, it is necessary to write the equation of the line.

The general form of a linear equation is:

y = mx + b

where b is the y-intercept and m is the slope. Y-intercept is the value of y when x = 0. You can observe in the graph that b = 3.

The slope m is conputed by using the following formula:

where (x1,y1) and (x2,y2) are two points of the line. Use the points (0,3) and (6,6), you can select any other two points. Replace these values into the formula for m:

Then, the equation of the line is:

Now, replace the value of x = 20 in the previous equation, if y = 13, then the point (20,13) in on the line:

Hence, the point (20,13) is on the line

Answer:

Mrs. Alexa has to buy one whiteboard marker for her class every week because her students keep stealing them. Each marker costs three dollars. The school has given her $25 for her school expenses. If she uses the money from the expenses to buy markers, how much money will she have after five weeks?

She has 10 dollars after five weeks.

Step-by-step explanation:

-3 is the price of each marker reducing her overall money.

5 is how many markers she should buy in 5 weeks.

$25 is the money grant that the school gave her.

Answer:

Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries

Step-by-step explanation:

Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;

We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3

The total number of cups to be made is 10

So the number of cups of yoghurt will be;

2/(2+3) * 10

= 2/5 * 10 = 4 cups

The number of cups of blueberry would be;

3/5 * 10 = 6 cups

So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna

Answer:

\(c =\sqrt{a^{2}+b^{2} }\)

Step-by-step explanation:

You clear c, wich is the hypotenuse

\(c =\sqrt{a^{2}+b^{2} }\)

The dimension of the given rectangle is 7.071 and 7.071 and perimeter will be 28.28 feet.

Let the length of the rectangle be L and width be W

Area of the rectangle will be LW

As area = A = 50 sq ft

50 = LW

Therefore, L = 50/W

Now the P = perimeter = 2L + 2W

P = 2(50/W) + 2W

P = 100/W + 2W

differentiating with respect to W, we get

dP/dW = -100/\(W^{2}\) + 2

For dP/dW = 0

\(W^{2}\) = 50

W = sqrt(50)

W = 7.071

L = 50/7.071 = 7.071

Therefore, Perimeter = 2L + 2W = 28.28

Therefore, Length = 7.071

Width = 7.071

Perimeter = 28.28 feet

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The domain of the function d(t) describing the Haru's journey to his friend is

In the graph, the input values is the time in hours, t while the output value is distance covered, d in kilometers

The domain is controlled by the input values. considering the time used for the journey as shown in the graph. The journey started from point 0 to the end point 2.1

The maximum time is at 2.1 hours. For the minimum, this is when the journey started which is 0

The domain starts from 0, with 0 not inclusive to 2.1 with 2.1 included

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Answer:

y = ax + b

x = 0 , y = 3 → 3 = a(0) + b → b = 3

x = 1 , y = 5 → 5 = a(1) + 3 → a = 2

y = 2x + 3

Option 2 is correct.