If r * s = s to the power of r, then 3 * 2 =​

Answer:61.43

Step-by-step explanation:

yes

Answer:

Louis $61.43 now.

Step-by-step explanation:

Louis sells her bike and helmet for $88.50 and $8.75. Add these together and it gives you the total amount of money she has earned.

\(88.50+8.75= 97.25\)

Louis now has $97.25. She then buys something for $35.82, so, subtract the amount of the basketball by the amount of money she earned to find out how much money she has left.

\($97.25- 35.82=61.43\)

Louis now has $61.43.  

let me know if you have any more questions on this problem. :)

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(6^7\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{6^5*6^2}\\\\\rightarrow \text{Recall exponent rule: } a^x*a^y=a^{x+y}\\\\\\rightarrow 6^5 * 6^2\\\\\rightarrow 6^{5+2}\\\\\rightarrow \boxed{6^7}\\\\\\\text{\textbf{None} of the given options are correct.}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

6 raise to the Power 5+2

So,

6⁷ is the answer

by law

a^m×a^n= a^m+n

The proportion that represents the down payment is 20% or 0.2 of the condominium's value.

2. The down payment is $25,000.

The down payment is the proportion required to secure a purchase transaction.

The down payment is an upfront cost that the purchaser settles in cash before being granted a long-term credit (loan or mortgage).

The purpose of a down payment is to reassure the lender of the borrower's ability to repay the loan.

To compute the down payment, apply the down payment percentage or proportion to the value of the asset.

The cost of the condominium = $125,000

Down payment = 20%

20% = $25,000 ($125,000 x 20%)

Mortgage loan = $100,000 ($125,000 - $25,000)

Thus, in this situation, the down payment is 20% of the cost of the property.

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The final answer is N * 58 + 64.

What is the PEMDAS?

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).

The order of operations (PEMDAS) tells us to perform the following steps:

Parentheses: (4 x 12 - 40) to the power of 2 = (-8)^2 = 64

Exponents: N * 58 + 64

Multiplication and Division: from left to right

Addition and Subtraction: from left to right

Hence, the final answer is N * 58 + 64, since we do not know the value of N we can't solve it.

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Answer:

28

Step-by-step explanation:

So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.)

Answer:

this is hard i think its is 28

Step-by-step explanation:

because i put 128 and got it correct

First, I will find angle 2

115° + m< 2 = 180° (angle on a straight line)

subtract 115° from both-side of the equation

m<2 = 180° - 115° = 65°

m<2 = 65°

m<1 + m<2 + 80° = 180° (sum of angle in a triangle)

m<1 + 65° + 80° = 180°

m< 1 + 145° = 180°

subtract 145° from both-side of the equation

m<1 = 180° - 145°

m<1 = 35°

m<2 + m<4 = 180° (angle on a straight line)

65° + m<4 = 180°

subtract 65 from both-side of the equation

m<4 = 180° - 65°

m<4 = 115°

Answer:

You need to multiple

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

27-17= 10$ 2.5 goes into 10 4 times

Answer:

Step-by-step explanation:

The relationship is the vertical shift of f(x) 1 unit down.

Correct choice is C

Answer:

The graph of g(x)is the graph of f(x) translated 1 unit down.

Step-by-step explanation:

y' = y - 1

Answer:

Step-by-step explanation:

see image for explanation

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

-8.425

Step-by-step explanation:

-8 17/40

= -8 + -0.425 (Remember that this is negative)

= -8.425

Hope you understand this one too!

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

2.5 ft/s

Step-by-step explanation:

\(\dfrac{dx}{dt}=\text{Speed of person}=3\ \text{ft/s}\)

As the triangles are similar we have

\(\dfrac{y}{6}=\dfrac{20}{12}\\\Rightarrow y=6\times\dfrac{5}{3}=10\)

Again from the similar triangles we get

\(\dfrac{y}{6}=\dfrac{20}{20-x}\\\Rightarrow (20-x)y=120\\\Rightarrow x=20-\dfrac{120}{y}\)

Differentiating with respect to time we get

\(\dfrac{dx}{dt}=\dfrac{120}{y^2}\dfrac{dy}{dt}\\\Rightarrow 3=\dfrac{120}{10^2}\dfrac{dy}{dt}\\\Rightarrow \dfrac{dy}{dt}=\dfrac{3}{1.2}\\\Rightarrow \dfrac{dy}{dt}=2.5\ \text{ft/s}\)

The rate of change of the length of the shadow on the wall is 2.5 ft/s.

We are given two points having the following coordinates

We are asked to find out the midpoint of these two points

Recall that the midpoint formula is given by

Let's substitute the given coordinates into the above formula

Therefore, the midpoint of the points (2,-1) and (-6,0) is found to be (-2, -1/2)

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

In store S, the cost per game is $2.50. So if you rent "x" amount of games, you pay:

just of the games. To that, you need to add 5.00 for the monthly fee. So the total cost for a month in store S is:

In store T, the cost per game is $5.00 and you don't pay any fees. So the monthly cost in store T is the cost for "x" amount of games (each at a cost of $5.00):

To represent that the monthly cost at store S is less than the monthly cost at store T we use the symbol "<" as follows:

Using this inequality with the monthly cost that we just found:

Answer:

The length of the hypotenuse in this problem is given as follows:

h = 10.6 m.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

7m and 8m.

Hence the hypotenuse is obtained as follows:

h² = 7² + 8²

\(h = \sqrt{7^2 + 8^2}\)

h = 10.6 m.

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Answer:

D. 212 degrees Fahrenheit and 100 degrees Celsius.

Step-by-step explanation:

The boiling point of water in Celsius is 100.

The way to calculate Celsius to Fahrenheit:

F = (C × 9/5) + 32

So we plug in 100 for C.

F = (100 × 9/5) + 32

F = 180 + 32

F = 212

Therefore, the numbered pair is 212 degrees F and 100 degrees  C.

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

sqrt41

Step-by-step explanation:

a^2+b^2=c^2

25+16=41

sqrt41

Answer:

6.40312

Step-by-step explanation:

So I think I had this for Imagine Math, so here is what I got :D;

Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34

Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19

Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17

I really hope this helps :DDDDDDDD

Given:

The length of the bases of the trapezoid

Height of the trapezoid:

Required:

The area of trapezoid KLMO

Explanation:

The formula for area of trapezoid is given by

Substituting the given values in the above equation we get

Final answer:

The area of trapezoid KLMO is 112 sq.cm

Answer: 6

Step-by-step explanation:

It says greatest, as 2 and 3 fit but it's not the greatest answer. While 6 the biggest and it also fits.

2 x 6 =12
1 x 6 =6

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

\(\frac{7}{4}\)+\(\pi\)

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn \(\frac{7}{4}\) into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

\(\frac{7}{4}\)+\(\pi\)

\(\frac{7}{4}\)+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

The equation of the shifted line is y = x + 2

From the question, we have the following parameters that can be used in our computation:

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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