simplify the expression.(-5r^2s^7)^3÷r

it would be 4 right. if aces are 1 and you draw one card

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

Read more about Laws of exponents at: https://brainly.com/question/11761858

#SPJ1

if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.

Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means

\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

Wait

Step-by-step explanation:

Is a equation or polynomial

Answer:

0, +/- 1. +/- 2

Step-by-step explanation:

\(x^{5} -5x^{3} +4x=0\) Write the equation in the form of P(x) = 0.

\(x(x^{4} - 5x^{2} + 4) = 0\) Factor out the GCF, x.

\(x(x^{2})^{2} - 5x^{2} + 4 = 0\) Factor \((x^{2})^{2}- 5x^{2} + 4 = 0\).

\(x = 0,\) \((x^{2})^{2} - 5x^{2} + 4 = 0\) Let a = \(x^{2}\) and substitute.

\(a^{2} - 5a + 4 = 0\) Factor.

\((a - 4)(a - 1) = 0\) Replace a with \(x^{2}\).

\((x^{2} - 4)(x^{2} -1) = 0\) Factor \((x^{2} - 4)\) as a difference of squares.

\((x -2)(x+2)(x^{2} -1) = 0\) Use the Zero Product Property

\(x = 2, x = -2, x^{2} = -1\)

\(x = 0, 1, -1, 2, -2\)

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

For more such questions on direction

https://brainly.com/question/30016405

#SPJ8

The discount price is $3009.3.

It is the amount of money spends on the creation or production of goods or services.

The cost price of the bicycle is $3000.

The marked price is given by

3000+(0.433 * 3000) = 4299

The marked price is $4299.

The discount rate is 30%.

The discount price of the cycle is given by

4299 - (0.3 * 4299) = 4299 - 1289.7 = 3009.3

Hence, the discount price of the bicycle is $3009.3.

To learn more about cost, use the link given below:

https://brainly.com/question/15135554

#SPJ1

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

To learn more about Functions refer to :

https://brainly.com/question/30169765

#SPJ1

Answer:

  1.9532×10⁻¹¹

Step-by-step explanation:

You want the product (3.8 × 10^-2)(5.14 × 10^-10) in scientific notation.

The product is computed in the usual way, making use of the rules of exponents.

  (3.8 × 10^-2)(5.14 × 10^-10) = (3.8×5.14) × (10^-2)(10^-10)

  = 19.532 × 10^(-2-10) = 19.532 × 10^-12

Moving a factor of 10 from the coefficient to the exponent gives ...

  = 1.9532×10^-11 . . . . . . final answer in scientific notation

__

Additional comment

Scientific notation has 1 digit to the left of the decimal point in the coefficient.

Here, we had to divide by 10 to put the coefficient decimal point in the right place. To keep the number at the same value, we had to increase the exponent of 10 by 1 from -12 to -11.

Your calculator can display the product in scientific notation for you, as can any spreadsheet.

Sometimes it is convenient to adjust the exponents before the multiplication. Here, you can see the product of the coefficients will be greater than 10, so will ultimately need to be divided by 10. One way to get there is rewriting the problem as (0.38×10^-1)(5.14×10^-10). This will give a product coefficient between 1 and 10 with an exponent of -11.

<95141404393>

Answer:

The probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

Step-by-step explanation:

We are given that

\(\mu_{\hat{p}}=p=4%=0.04\)

n=662

We have to find the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%.

q=1-p=1-0.04=0.96

\(\sigma_{\hat{p}}=\sqrt{p(1-p)/n}\)

\(\sigma_{\hat{p}}=\sqrt{\frac{0.04(1-0.04)}{662}}\)

\(\sigma_{\hat{p}}=0.0076\)

Now,

\(P(\hat{p}>0.06)=1-P(\hat{p}<0.06)\)

\(=1-P(\frac{\hat{p}-\mu_{\hat{p}}}{\sigma_{\hat{p}}}<\frac{0.06-0.04}{0.0076})\)

\(=1-P(Z<2.63)\)

\(=1-0.99573\)

\(P(\hat{p}>0.06)=0.00427\)

Hence, the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

4.12310562562, 4.23, 4.5

Train 1 = x + 6.4

Train 2 = x

(x) + (x + 6.4) = 717.6

2x + 6.4 = 717.6

2x = 711.2

x = 355.6

Train 1 = 355.6 + 6.4 = 362 mph

Train 2 = 355.6 mph

Hope this helps!! :)

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Answer:

Step-by-step explanation:

D.all citizens; registered voters

The probability will last longer than 2 years will be 3.3%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

First let us calculate the z score using the formula:

\(z = \dfrac{(x- \mu)} { s}\)

where x = 2, u is the mean = 3.1 years, and s is the standard deviation

\(z =\dfrac{ (2 - 3.1) }{ 0.6}\)

z = -1.83

From the standard probability tables, the p-value at z = -1.83 is:

P = 0.033 = 3.3%

Therefore the probability that will last longer than 2 years will be 3.3%.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

For similar question on cuboid.

https://brainly.com/question/29568631  

#SPJ8

Based on the definition of the midpoint of a line segment, the length of QS is calculated as: 25 units.

When a point lies on a line segment in such a way that it bisects the line into two equal halves, that point is said to be the midpoint of that line segment.

In the image attached below, on line segment QS, R bisects QS into two equal halves because it is the midpoint of segment QS.

Given that segment QR = 12.5, this means that it is half of the line segment QS.

Therefore:

Length of QR = 12.5

Length of QR = 1/2(length of QS)

Thus:

12.5 = 1/2(length of QS)

Multiply 2 by both sides

2(12.5) = length of QS

25 = length of QS

Length of QS = 25 units.

Learn more about the midpoint of a line segment on:

https://brainly.com/question/896396

#SPJ1

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

Answer:

2^3*9

Step-by-step explanation:

72-9

8-2

4-2

2-2

1

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

Explanation:

The set of primes in that given list is {2,3,5,7,11,13,17}

The set of composites is {4,6,8,9,10,12,14,15,16}. So it's basically everything but the prime numbers. We don't include the value 1 in either list since 1 is neither prime nor composite.

Counting the number of items in the list {4,6,8,9,10,12,14,15,16} leads to 9 items. This is out of 17 values total in the original list

The probability of getting a composite value is therefore 9/17

20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

Find out more on enclosed region area here:

#SPJ1

Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

Learn more about figurative language in https://brainly.com/question/17418053

#SPJ1

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

JTH Financial, LLC (JTHF)  is a company that was formed in 2010 in Virginia and their goal and mode of operation is to help customers with tax settlement products that can help them get the best amount to pay for taxes.

JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

Find out more on tax preparation at https://brainly.com/question/25783927

#SPJ1

Answer:

2/3

Step-by-step explanation:

4/5*5/6 =2/3

please mark

Answer:

2/3

(Decimal Form : 0.6)

Step-by-step explanation:

Answer:

-41, -16, 0, 12, 34

Step-by-step explanation:

If you look at a number line, negatives are below zero, so that means negatives are lower then zero. The higher the negative, the further from zero, meaning they are even more less

Answer:

Step-by-step explanation:

if the snail moves 1 cm / 1 min

the snail will need 1 minute, maybe you didn't posted correct?