a) How would you write `\left(9^{-2}\right)\left(3^{11}\right)\left(\sqrt[3]{27}\right)` as a single pow

Answer:

43.3

Step-by-step explanation:

Area = Base * Height

Area = 7 * 6.2

Area = 43.3

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct

Answer: 77

Step-by-step explanation:

To find the mean, you add up the numbers and divide by the amount of numbers.

\(\frac{70+80+95+90+50}{5} =\frac{385}{5} =77\)

Now, we know the mean is 77.

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

-3 1/4 is the answer for this question

Answer:

Step-by-step explanation:

Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20

A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.

Here,

Solve for y.

Replace y by f-1(x).

y=x-20

x=y-20

Solve for y,x = y-20

x+20

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Answer:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.

Let's start by replacing ƒ(x) with y:

y = x - 20

Next, swap x and y:

x = y - 20

Now, solve for y by isolating it:

x + 20 = y

Therefore, the inverse of the function ƒ(x) = x - 20 is given by:

ƒ^(-1)(x) = x + 20

Answer:

which number

every of them?

The amount that Matthew was paid per hour is given as follows:

$6.

The amount that Matthew was paid per hour is obtained applying the proportions with the amounts given in this problem. A proportion is a fraction of a total amount, using to obtain amounts in the context of a problem.

He then spent $3 and had $12 remaining, hence the total amount earned is calculated as follows:

x - 3 = 12

x = 12 + 3

x = $15.

(total amount - spent amount = remaining amount).

He earned $15 in 2.5 hours, hence the amount that Matthew was paid per hour is found applying the division of 15 by 2.5, as follows:

15/2.5 = $6.

(amount per hour = total amount divided by the number of hours).

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Answer:

the answer is 29.1. hope this helped

Step-by-step explanation:

use a fkn calculator

Answer: (6,0)

Coordinate points are always written in pairs of the x- and y-coordinate: (x, y). Knowing this, the point would need to have a y-value of 0 in order to lie on the x-axis (otherwise, it would be on a random spot on the grid). The only coordinate point with a y-value of 0 is (6, 0). Therefore, the coordinate point (6, 0) lies on the x-axis.

Please refer to the attached graph below to see all the coordinate points.

Answer:

-16

Step-by-step explanation:

The absolute value of 2 is 2 so -8*2=-16

Answer:

232

Step-by-step explanation:

232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232

Answer:

c ≤ -196

Explanation:

The given expression, a number c divided by 7 is at most -28​ can be written as:

It is the same to say that a c divided by 7 is less than or equal to -28.

So, we can solve for c by multiplying both sides of the inequality by 7 as:

Therefore, c can be at most -196.

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

v = 260

Step-by-step explanation:

You have to multiply all the values given together (13 x 3 x 20) and then divide that by 3.

Answer:

7040

Step-by-step explanation:

uhh filler stuff f

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The values of k and m for which the given system has infinitely many solutions are k = 6 and m = -7

To find the values of k and m for which the given system has infinitely many solutions, we can analyze the coefficients of the variables and the constant terms.

Given system:

\(\[\begin{align*}\\3a + 2b &= 2, \\6a + 2b &= k - 3a - mb.\end{align*}\]\)

To determine when this occurs, we can compare the constant terms. The constant term on the right side of the second equation is k, while the constant term on the left side is\(\(-3a - mb\)\). For the lines to coincide, the constant terms should be equal.

So, we have\(\(k = -3a - mb\).\)

Now, we can substitute the values of \(\(a\)\) and \(\(b\)\) from the first equation into this equation to eliminate \(\(a\)\) and \(\(b\)\)

\(\[-3a - mb = -3(2b - 2) - mb = -6b + 6 - mb = -6b - mb + 6.\]\)

Comparing this expression with k, we get -6b - mb + 6 = k

Simplifying further, we have -7b - mb = k - 6

Now, we can equate the coefficients of b on both sides:

-7 - m = 0

This gives us m = -7

Substituting this value of m back into the equation -7b - mb = k - 6, we get -7b + 7b = k - 6, which simplifies to 0 = k - 6

Thus, k = 6

Therefore, the values of k and m for which the given system has infinitely many solutions are k = 6 and m = -7

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Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

The total area of all exposed surfaces of a geometric solid is called surface area .

The area is the entire amount of space filled by flat or two-dimensional objects. In other words, the number of square units that cover the surface of a closed figure is used to represent its area.

It is quantified in square inches, or square units. The area only has length and width since 2-dimensional shapes can be measured using them.

The area is a two-dimensional measurement of the size of a flat surface, whereas surface area is a measurement of a solid shape's exposed surface (three-dimensional).

The main distinction between area and surface area is this. However, both amounts are expressed in square units, which is the same for both. Learn the distinction between area and volume as well.

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Answer:

Area:19.63

circumference:15.71

Step-by-step explanation:

A=πr2

d=2r

A=1/\(\frac{1}{4} \pi d^{2}\)4π d2=1 4·π·52≈19.63495

C=2πr

d=2r

c=\(\pi\)d=\(\pi\)·5=15.70796

Answer:

I think its A) Fresh

Step-by-step explanation:

Srry if its wrong

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Job B pays more after taxes.

=========================================================

Explanation:

Job A has taxable income of $8150. This amount is in the interval of $0 to $8350, so we use the first tax bracket.

To be honest, this chart makes things a bit more complicated than they have to be, but it's basically saying "if you're in the first tax bracket, then you pay 10% of your taxable income".

The amount of tax is

10% of 8150 = 0.10*8150 = 815

Which means that he'll have 8150-815 = 7335 dollars after tax.

------------

Now let's move onto job B.

The taxable income of 8650 is now between 8350 and 33950. So we've bumped up to the second tax bracket.

The rule here is that we start with the tax amount being $835. Then we'll add on an extra amount. That extra amount is 15% of anything over 8350. Note how 8650-8350 = 300. So we'll add on 15% of 300 = 0.15*300 = 45 extra dollars on top of the $835 base amount for this bracket.

In total, you'll pay a total of 835+45 = 880 dollars in taxes if you go with job B. The after tax pay is 8650-880 = 7770

------------

To summarize, we have the following after-tax amounts

The difference in the after-tax pay is 7770-7335 = 435 with job B paying more.

------------

Side note: The use of the phrase "taxable income" is different from your actual gross income. This is because you can claim deductions to lower the taxable income. So for instance, Job A could pay an annual salary of $10,000 a year, but through various deductions, he was able to get it down to $8150. The lower your taxable income means you pay less in overall tax (but it doesn't mean your actual income has gone down).

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

A perceiving type of person tend to make more use of intuition in their approach of life.

The word "Perceive" means to become aware of through the personal senses.

Therefore, they perceive situation automatically as they are use to that way of life approach.

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Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi