When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.
Which property listed below is used in all of these proofs?

Answer:

Step-by-step explanation:

D is the number of minutes it takes to walk his dog

G is the number of minutes it takes to water the garden

F is the number of minutes it takes to feed his fish.

We are required to match these situations to their respective expressions:

Situation

Expression

Match:

Answer:

5

Step-by-step explanation:

This is a 3, 4, 5 triangle

Answer: 5

If you graphed these three points on a graph you can see that the points (-2,0) and (-6,3) have the smallest length. First we want to find the slope of these points. We can use the formula y2 - y1 / x2 - x1. 3 - 0 / -6 - -2. 3-0 is 3 and -6 - -2 is -4. Two negatives make a postive. So the slope is 3/-4. We can't have a negative slope so change the -4 to a postive 4. Now square the slope 3/4 to get 9 and 16. We know the pythagoren therom formula is a^2 + b^2 = c^2. So square 3 and 4 to get 9 and 16 then add them to get 25. Square 25 and you get the answer 5.

Answer: 40

Step-by-step explanation:

Number of correct questions Sally got = 28 questions

Percentage of correct questions answered= 70% on the exam,

Total number of questions in the exam = Unknown

Let the total questions in the exam be represented as y.

Since Sally got 70% correctly, this will be:

70% of y = 28

70/100 × y = 28

0.7 × y = 28

0.7y = 28

Divide both side by 0.7

0.7y/0.7 = 28/0.7

y = 40

There are 40 questions in the exam.

Answer:

the answer is b, 1/2.

Step-by-step explanation:

1-0 divided by 4-2 is 1/2

Answer:

a)0.12m/s=0.432km/h

b)0.3g/cm²=300

Step-by-step explanation:

a)multiply the speed value by 3.6

b)multiply the mass / volume value by 1000

Hope this helps :)

Answer:

Center at (4, 7) and radius is √49, or 7

Step-by-step explanation:

Didn't you mean (x-4)² + (y-7) ² = 49?

Comparing          (x-4)² + (y-7) ² = 49

to                          (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k)  =>  (4, 7) and that the radius is √49, or 7.

Answer:

4

Step-by-step explanation:

4^(1/2a)/2^b

[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]

Answer: the amount of force applied

The direction of a force

The distance over which a force is applied

The machine will work easier when force, the direction of the force and the displacement increased. Options B, D, and E are correct.

It is defined as the transfer of energy from one object to the other.

The work is equal to the product applied Force and the displacement.

The formula of the work is,

W = Fs

Where

W = work

F = force

s = Displacement

Therefore, the machine will work easier when force, the direction of the force and the displacement increased.

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Answer:

He would be able to drive 240 miles in 5 hours.

Step-by-step explanation:

45 minutes is 75% of an hour, so dividing 84 miles by 1.75 hours gets you 48 miles per hour. If you then multiply 48 mph by 5 hours you will get the correct answer of 240 miles.

Answer:

The formula for the area of a  circle is:

[tex]\pi r^{2}[/tex]

[tex]\pi =3.14159265359[/tex]

1) Multiply pi by the radius squared

Answer:

So -3 and 7 are the answer

Step-by-step explanation:

nnnnnnbbn

Answer:

Regular Square Pyramid

Step-by-step explanation:

I’m doing this question on odyssey ware it’s the title

We have the height h(t) as

h(t) = -16t² + 1024

16t² is how far we've fallen as a function of time; since we started 1024 feet up the height is 1024-16t².

Answer: the distance the brush falls in t seconds, first choice

The trend will be positive because as the students get older their heights tend to get taller.

Answer:

B

Step-by-step explanation:

As students grow older, they will naturally grow taller because their bodies are developing and maturing. This means that as the values on the x axis increase, the values on the y axis will also increase.

The result of these type of correlation is that there will be a line increasing to the right. This is known as a positive trend.

Hope this helps!

Answer:

4 hammers

Step-by-step explanation:

step 1

Find out the greatest number of doors that the contractor could buy

Divide the total amount by the cost of each door

so

[tex]\$3,285/\$75=43.8[/tex]

That means ----> The greatest number of doors that the contractor could buy are 43

step 2

Find the remaining money

The remaining money is equal to

[tex]3,285-43(75)=\$60[/tex]

step 3

Find the greatest number of hammers that the contractor can buy with the remaining money

Divide the remaining money by the cost of each hammer

[tex]\$60/\$15=4\ hammers[/tex]

Answer:

Step-by-step explanation:

Not sure

Answer:

60°, D

Step-by-step explanation:

(140-x)/2=40

140-x=40×2=80

x=140-80=60°

When a state legislature cannot agree on a state budget, the most probable outcome is the passing of a temporary spending authority, allowing the government to maintain operations while negotiations continue. Other, more drastic measures occur in extreme cases.

If the state legislature cannot agree on a state budget, the most likely outcome would be that a temporary spending authority would be passed, also known as a continuing resolution. This temporary resolution authorizes the government to continue operations at the current funding level until a new budget can be agreed upon. Without this, essential government services could be disrupted, including wages for state employees and spending on other government services.

Halting all government spending or suspending the state legislature is highly unlikely and would typically only happen in extreme situations. It's also important to note that the specifics of what happens when a budget isn't passed can vary from state to state, as the processes for managing this situation are defined by each state's constitution and laws.

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Answer:

  c.  r = 3 + 2 cos(theta)

Step-by-step explanation:

At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.

Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.

Answer:

c.  r = 3 + 2 cos(theta)

Step-by-step explanation:

Final answer:

The expression (-2x⁴y²)³ simplifies to -8x¹²y⁶, by individually raising the coefficient and each variable to the third power.

Explanation:

To simplify the expression  (-2x⁴y²)³, you must raise both the numerical coefficient and the variables to the third power. Remember that raising a power to a power multiplies exponents and raising a negative number to an odd power results in a negative number.

Putting it all together, the expression simplifies to  -8x¹²y⁶.

Answer:

27°

Step-by-step explanation:

Since BD is a diameter then arc BD = 180°

∠ APE = 180° - (90 + 63)° = 180° - 153° = 27°

The measure of the arc AE is equal to the angle at the centre subtended by it.

arc AE = ∠ APE = 27°

Answer:

13 plus .50 times J =A

Step-by-step explanation:

i dont really know how to explain this but here we go...

you already have $13 and if you get .50 for every cup you sell (J) then thats it really...

A = 13+ 0.50j is the equation which  represents the total amount A you have after selling j cups of orange juice.

Two or more expressions with an Equal sign is called as Equation.

Given that you have $13 and earn $0.50 for each cup of orange juice you sell .

We have to find an equation which  represents the total amount A (in dollars )you have after selling j cups of orange juice

A = 13+ 0.50j

13 is the initial amount and 0.50 is the slope of the given equation.

Hence, A = 13+ 0.50j is the equation which  represents the total amount A you have after selling j cups of orange juice.

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Given:

The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.

The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.

To find:

The total area to be painted.

Solution:

There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.

The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.

There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.

The area of a rectangle with a length of 25 feet and a width of 10 feet [tex]= 25(10)= 250[/tex] square ft.

The area of two such rectangles [tex]= 2(250) = 500[/tex] square feet.

The area of a rectangle with a length of 55 feet and a width of 10 feet [tex]= 55(10)= 550[/tex] square feet.

The area of two such rectangles [tex]= 2(550) = 1100[/tex] square feet.

The triangular prism has 2 triangles and 2 rectangles.

The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.

The area of a triangle with a base length of 25 feet and a height of 8 feet [tex]= \frac{1}{2}(25)(8)= 100[/tex] square feet.

The area of two such triangles [tex]=2(100)= 200[/tex] square feet.

The area of a rectangle with a length of 55 feet and a width of 14.8 feet [tex]= 55(14.8)= 814[/tex] square feet.

The area of two such rectangles [tex]= 2(814) = 1628[/tex] square feet.

The total area to be painted [tex]=500+1100+200+1628 = 3128[/tex] square feet.

So an area of 3128 square feet is to be painted.

An area of 3128 square feet is to be painted.

The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.

The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.

To find:

The total area to be painted.

There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.

The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.

There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.

The area of a rectangle with a length of 25 feet and a width of 10 feet = 25(10)= 250 square ft.

The area of two such rectangles = 2(250) = 500 square feet.

The area of a rectangle with a length of 55 feet and a width of 10 feet = 55(10)= 550 square feet.

The area of two such rectangles = 2(550) = 1100 square feet.

The triangular prism has 2 triangles and 2 rectangles.

The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.

The area of a triangle with a base length of 25 feet and a height of 8 feet = (1)/(2)(25)(8)= 100 square feet.

The area of two such triangles =2(100)= 200 square feet.

The area of a rectangle with a length of 55 feet and a width of 14.8 feet = 55(14.8)= 814 square feet.

The area of two such rectangles = 2(814) = 1628 square feet.

The total area to be painted =500+1100+200+1628 = 3128 square feet.

So an area of 3128 square feet is to be painted.

Answer:

11% own fish

Step-by-step explanation:

Answer:

(A) y = 2x

Step-by-step explanation:

hope this helps

Answer:

it's answer is D 123

Step-by-step explanation:

Here

88 - ( -35)

When it comes our of bracket - *- = +

So

88 + 35

= 123

Hope it will help you :)

Answer:

D ) 123

Step-by-step explanation:

88 – (–35) =

= 88 + 35

= 123

The hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr.

To determine the hourly difference in median income between males and females with an advanced degree, we need to know the median income for each gender and the number of hours worked. If you can provide the median income values for both males and females with an advanced degree, I can calculate the difference for you.

For illustration, let's assume the following median income values:

- Median income for males with an advanced degree:  M  dollars per year

- Median income for females with an advanced degree:  F  dollars per year

- Average hours worked per week:  H  hours

- Number of weeks worked per year:  W  weeks (usually 52)

Here's how to calculate the hourly difference:

1. Convert annual median incomes to hourly incomes:

[tex]\text{Hourly income for males} = \frac{M}{H \times W} \\\\\text{Hourly income for females} = \frac{F}{H \times W}[/tex]

2. Calculate the difference in hourly incomes:

[tex]\text{Hourly difference} = \text{Hourly income for males} - \text{Hourly income for females}[/tex]

Let's plug in hypothetical numbers for illustration:

- Median income for males:  M = 100,000  dollars per year

- Median income for females:  F = 80,000  dollars per year

- Average hours worked per week:  H = 40  hours

- Number of weeks worked per year:  W = 52

Calculate the hourly incomes:

[tex]\text{Hourly income for males} = \frac{100,000}{40 \times 52} = \frac{100,000}{2080} \approx 48.08 \text{ dollars/hour} \\\\\text{Hourly income for females} = \frac{80,000}{40 \times 52} = \frac{80,000}{2080} \approx 38.46 \text{ dollars/hour}[/tex]

Calculate the hourly difference:

[tex]\text{Hourly difference} = 48.08 - 38.46 = 9.62 \text{ dollars/hour}[/tex]

So, the hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr. To provide an exact answer, please supply the specific median income values for males and females with an advanced degree.

The complete question is:

What is the hourly difference in median income for a male versus female with an advanced degree?

$_____/hr

Answer:

The answer to this question is gotta be 0

Step-by-step explanation:

Because a normal distribution gives an area between 0 and z and the area for P(X=46) = 0

The correct answer is option D: 0.25. The z-score for a value of 46 is 0.25.

To calculate the z-score for a given value in a normal distribution, we use the formula:

z = [tex]\frac{{x - \mu}}{{\sigma}}[/tex]

where:

x - the value

[tex]\mu[/tex] - the mean

[tex]\sigma[/tex] - the standard deviation

Given:

x - 46

[tex]\mu[/tex] - 44

[tex]\sigma[/tex] - 8

We can plug these values into the formula:

z = [tex]\frac{{46 - 44}}{{8}}[/tex]

z = [tex]\frac{{2}}{{8}}[/tex]

z = 0.25

So, the z-score for a value of 46 is 0.25.

The question is:

If a normal distribution has a mean of 44 and a standard deviation of 8, what is the z-score for a value of 46?

A. 1.25

B. 1.75

C. 0.75

D. 0.25

Answer:

The population is 300 the sample is the amount of people who responded.

= 300 ⇒300:138

this means sample unsatisfactory

as the sample was less than 50%

Step-by-step explanation:

The population is viewed as 300/570

There are a number of different ways to handle this. One is to target a 100% response rate, although in doing this care has to be taken in how it is achieved to avoid biasing the responses by changing them! By way of a silly example, if I offered everyone who responds to the survey a lifetime’s supply of ice-cream to boost the response rate, and the survey includes questions about future purchases of ice-cream, that may well impact on the answers. Similarly, cajoling employees into completing an engagement survey may have a negative effect on their answers.

Non-response does not always have a negative effect on survey result (there is a large body of research in this area: Curtin, Presser, and Singer 2000 ; Keeter et al. 2000; , and Earl, “The Practice of Social Research”). Anything over 50% is usually sufficient, and over 70% is viewed as a very good response rate. There are a number of reasons for survey non-response:

Awareness (people were not aware of the survey due to communication failure).

Capability (people do not have the knowledge/competence/tools to complete the survey).

Motivation (people are aware and able, but unmotivated/unwilling/refusing).

Answer:

C

Step-by-step explanation:

All parabolas (U shaped graphs) have domains of All Real Numbers

Answer:They y axis runs up and down so on the verticle lind where is says -2 plotthe point.

Step-by-step explanation: