Which expression is equivalent to ​

Answer:

Incorrect

Step-by-step explanation:

Law of Exponent:

\( \displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }\)

Substitute a = 5, m = -1 and n = 1.

\( \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 1 - 1} } \\ \displaystyle \large{ \frac{ {5}^{ - 1} }{ {5}^{1} } = {5}^{ - 2} }\)

Therefore, Josh is wrong because Josh misused the law of exponent. What Josh used was a^m × a^n = a^{m+n}.

The x-intercept of the function  is -3

One example of an intercept is the X-intercept, which is when a line crosses the x-axis.

Where a line crosses the y-axis is known as the y-intercept.

One play in numerous football formats is the interception.

Donald Hamilton's 1980 thriller The Mona Intercept

Nixon announced Operation Intercept as a drug-prevention initiative.

Telephone monitoring, often known as third-party eavesdropping on phone and online talks

Android smartphone Samsung Intercept (SPH-M910) Visual Intercept, a Microsoft Windows-based software defect monitoring tool

A measurement of the linearity of an electrical device is the intermodulation intercept point.

A telephone recording known as the intercept message informs the caller that the call cannot be finished.

The Intercept is an online news source run by Jeremy Scahill, Laura Poitras, and Glenn Greenwald.

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Answer:

To find the x-intercept of the function, we need to find the value of x where the function h(x) is equal to zero.

Setting h(x) = 0, we have:

0 = 3∛(x - 5) + 6

Subtracting 6 from both sides, we get:

-6 = 3∛(x - 5)

Dividing both sides by 3, we get:

-2 = ∛(x - 5)

Cubing both sides, we get:

-8 = x - 5

Adding 5 to both sides, we get:

x = -3

Therefore, the x-intercept of the function is -3.

The answer is: -3.

(a) To find the maximum rate of change of f at point P(1,0), we need to find the gradient of f at that point and then find its magnitude. The direction of maximum increase is given by the unit vector in the direction of the gradient.

The gradient of f is:

∇f(x,y) = <y cos(xy), x cos(xy)>

At point P(1,0), we have:

∇f(1,0) = <0, cos(0)> = <0, 1>

The magnitude of the gradient is:

||∇f(1,0)|| = \(sqrt(0^2 + 1^2)\) = 1

Therefore, the maximum rate of change of f at point P is 1, and it occurs in the direction of the unit vector in the direction of the gradient:

u = <0, 1>/1 = <0, 1>

So the maximum rate of change occurs in the y-direction.

(b) To find the maximum rate of change of f at point P(8,1.3), we need to find the gradient of f at that point and then find its magnitude. The direction of maximum increase is given by the unit vector in the direction of the gradient.

The gradient of f is:

∇f(x,y,z) = <2x, 2y, 2z>

At point P(8,1.3), we have:

∇f(8,1.3) = <16, 2.6, 2(1.3)> = <16, 2.6, 2.6>

The magnitude of the gradient is:

||∇f(8,1.3)|| = \(sqrt(16^2 + 2.6^2 + 2.6^2) = sqrt(275.56) ≈ 16.6\)

Therefore, the maximum rate of change of f at point P is approximately 16.6, and it occurs in the direction of the unit vector in the direction of the gradient:

u = <16, 2.6, 2.6>/16.6 ≈ <0.963, 0.157, 0.157>

So the maximum rate of change occurs in the direction of this unit vector.

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Answer:

4x-8+5x = 3(3x+1) has no solution

Step-by-step explanation:

4x-8+5x = 9x+3

4x+5x-9x = 3+8

9x-9x = 3+8

0 = 11 impossible

Carry learning!

Stay safe!

Study hard!

Answer:

61

Step-by-step explanation:

It should be 61

Square 60 and 11 and add them together to get 3271

Then square root 3271

You'll get 61

Which is the answer

Answer:

$0.35

Step-by-step explanation:

A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)

Answer:

0.35

Step-by-step explanation:

Answer:

A ) angle measures of 47 , 589 , 85

Step-by-step explanation:

a triangle can only be 180 degrees in total and the second number completely blows it out of that range

EDIT : even if there was a typo in the question , A would still equal 190 and thus make it not a triangle

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Answer:

Fred will walk about 25 miles after 10 hours.

Step-by-step explanation:

First you have to find how much he walks in one hour, to do that you divide 10 by 4 to get 2.5

Then you multiply 2.5 by the 10 hours to get 25.

Hope that helps and have a great day!

Answer:

he can cover 25 miles

Step-by-step explanation:

10/4= 2.5 10x2=20 2.5x2=5 20+5=25

Answer:2(5x + 7.5)

Step-by-step explanation:It correct

Pls mark brainlest

The main answer is that the probability equal to P(A) + P(B) - P(A and B) is equal to P(A or B).

To explain further, let's break down the given information. We have two events: A represents the event "the student is in the Music Club," and B represents the event "the student is in the Science Club." We are asked to find the probability that is equal to P(A) + P(B) - P(A and B).

P(A) represents the probability of selecting a student who is in the Music Club, P(B) represents the probability of selecting a student who is in the Science Club, and P(A and B) represents the probability of selecting a student who is a member of both the Music Club and the Science Club.

The expression P(A) + P(B) - P(A and B) is a commonly used formula for finding the probability of the union of two events. It accounts for the possibility of double-counting students who are members of both clubs.

In this case, P(A or B) represents the probability of selecting a student who is either in the Music Club or the Science Club (or both). Therefore, P(A or B) is equal to P(A) + P(B) - P(A and B).

Hence, the probability that is equal to P(A) + P(B) - P(A and B) is equal to P(A or B).

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$2,560 needs to be invested at time 3 in order to have $3,200 at time 8.

Since the money grows according to the simple interest accumulation function a(t) = 1.05t, the amount of money A at time t, given an initial amount P, can be calculated using the formula:

A = P + Pr(t)

where r is the interest rate (in this case, 5% or 0.05) and t is the time period (measured in years).

To determine how much money needs to be invested at time 3 to have $3,200 at time 8, we can use the above formula and solve for P:

3200 = P + Pr(8-3)

3200 = P + 5P(0.05)

3200 = P + 0.25P

3200 = 1.25P

P = 3200 / 1.25

P = 2560

Therefore, an initial investment of $2,560 at time 3 would be needed to have $3,200 at time 8, assuming a simple interest accumulation function with an interest rate of 5%.

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Answer:

D

Step-by-step explanation:

\(y = 3\sqrt{2}\)

Just use pythagorean theorem, very simple.

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

In your case c is y

your answer calculated will come out to 4.24 but put in terms your teacher wants will be

\(y = 3\sqrt{2}\)

Answer:

14.6mm

Step-by-step explanation:

The formula for finding the circumference of a circle is 2πr.

The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.

So we divide the circumference by 2 and pi which is 3.14 which will give us the radius

r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6

Answer: its c

Step-by-step explanation:

Answer: John costs him company $3000 in lost productivity

Step-by-step explanation:

hours lost- 50 times 3 = 150

money lost- 150 times 20 = 3000

Answer: 456

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

Answer:

50.27

Step-by-step explanation

In order to find the area of a circle you must multiply Pi by the radius squared, in this case Pi times 16 (4 squared) = 50.27

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

she has rode 16 miles this week

Step-by-step explanation:

3 miles on monday 3 times that many on tuesday plus 4 miles one wensaday add them all up

3 times 3 is 9 plus 3 is 12 plus 4 is 16 there fore 16 miles in totale

sorry for my speling erros

She rode a total distance of 16 miles this week.

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

The distance rode by Lexi per day is mentioned below -

Monday - Lexi rode 3 miles on a bike.

Tuesday - Lexi rode 3 times more than she did Monday.

Wednesday - Lexi rode an additional 4 miles.

We can write the expression to find the total distance in miles covered by Lexi as -

d = d{M} + d{T} + d{W}

d = 3 + (3 + 3) + 4

d = 3 + 6 + 4

d = 13 miles

Therefore, she rode a total distance of 16 miles this week.

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Existence and uniqueness of solutions to systems of differential equations depend on the number of equations and the order of each equation. For example, a system of two first-order equations has a unique solution, while a system of three first-order equations may not have a unique solution.

Previously, we considered the scalar differential equation, which is a single differential equation involving only one independent variable. In this case, the solution to the equation is unique. This is because there is only one equation and only one variable, so the solution must be unique for a given set of initial conditions.

For a system of differential equations, the existence and uniqueness of solutions depend on the number of equations and the order of each equation.

Systems of differential equations with higher order equations or more equations than unknowns may not have a unique solution. On the other hand, if there are more unknowns than equations, then there is always a unique solution. To find the solution, the equations must be solved simultaneously.

In conclusion, A scalar differential equation always has a unique solution.

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Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

Answer

\(12\)

Step by step explanation

\(protons = electrons \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 = 12\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

d

Step-by-step explanation:answer is d on edg

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer:

Answer is – 3

Step-by-step explanation:

expand the expression using ( a – b) ( a + b) = a² –b²

( 3 ) ² – ( 6) ² *remember to place your square roots inside the brackets my phone doesn't have one*

then simplify the radical

3–6 = – 3

Answer:

a=-3, b=5

Step-by-step explanation:

Given that:

10-√18/√2=a+b√2

We need to find values of a and b.

All we have to do is solve 10-√18/√2

The first step is to simplify √18

√18=√9×2=3√2

The second step is to rationalize the whole fraction, by removing an irrational number as the denominator

10-√18/√2 = 10-3√2/√2 × √2/√2

Distribute √2:

10√2-3×√2²/√2²

10√2-6/2

Factor out 2 from the expression:

2(5√2-3)/2

Cancel out the 2, and the final answer is:

5√2-3

Thus, a=-3 and b=5

Hope this helps!

In three-dimensional space, coordinates are often written in the format (x, y, z), where x, y, and z represent the positions along the x-axis, y-axis, and z-axis, respectively.

These coordinates can also be written as XYZ, where X, Y, and Z represent the position along the x-axis, y-axis, and z-axis, respectively.

For example, the point (3, 4, 5) in three-dimensional space can also be written as the point XYZ = 3,4,5

It is important to note that the order of the coordinates, XYZ, is crucial when working with three-dimensional space. It is a common notation used in geometry, engineering, physics, and computer graphics.

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Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7