What value of the unknown exponent makes
\(13 { }^{?} = \frac{1}{13 {}^{ - 2} } \)
true?​

Answer:

D=3h+5

Step-by-step explanation:

Given: The rate of increasing speed  = 3 miles per hour

The distance she traveled before stopping = 5 miles

Let h represents the number of additional hours for hiking.

Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-

D=3h+5

Answer:

D = 3h + 5

Step-by-step explanation:

Answer:

y= 2x -2

Step-by-step explanation:

You would use point- slope formula. y-y = m(x-x). With your numbers it would end up looking like this ---->  y-6 = 2(x-4), then do the distributive property which then gives you ----> y-6 = 2x - 8, then subtract 6 on both sides and you get --->  y = 2x - 2. Hope this helped!!!!

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

2/3 and 10/15

Step-by-step explanation:

................

Step-by-step explanation:

the two equivalent fractions are 2/3 and 10/15

Answer:

Z

Step-by-step explanation:

Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.

We can use the addition operation to determine the quantity of flour that Sasha needs.

We add the cups of flour needed for both items to determine the total quantity.

The quantity of flour for making a batch of muffins = 3/4 cups

The quantity of flour for making a loaf of bread = 1²/₃ cups

The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)

(³/₄ + 1²/₃)

= ³/₄ + ⁵/₃

= (9 + 20)/12

= 29/12

= 2⁵/₁₂

Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.

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Answer:

168hrs in division terms of every 1 year x 7 etc...

It will always be 24hrs nothing changes set of units to same units.

However because the equivalent to a same length of life as human is 1/7 we can do the reciprocal = 7 and do 24 x 7 = 168 hrs, but as many younger and healthy dogs eat and sleep the same as humans then equivalent would be not a good way to compare a dogs life.

Longer life breeds like Labrador or mixed breed dogs if walked at least 4 times a day and away from other dogs and all day young kids can live older than 20 and have actually be more compared to 4-5 years and so the comparison would be like 96 hrs or 120 hrs, but hours stay 24 a day for all animals as units don't change same units. Day represents a day and a year represents sun rise to sun fall to sun rise again x 365.

The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.

To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.

In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )

Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³

Therefore, the simplified expression is x³ - x²y - xy² + y³.

Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.

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The graph could be the graph of exponential function of option b)

\(F(x) = 2 • (0.5)^{x} \)

The general form of an exponential function is

\(f(x) = {ab}^{x} \)

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

\(f(x) = 2(b)^{x} \)

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

Answer: 85

Step-by-step explanation:

Answer:

123.79

Step-by-step explanation:

The formula for the surface area of a cylinder is:

A = 2πr^2 + 2πrh

where r is the radius of the base, h is the height, and π is the constant pi.

Plugging in the given values, we get:

A = 2π(2.22)^2 + 2π(2.22)(6.66)

A = 2π(4.9284) + 2π(14.7912)

A = 30.9748 + 92.8184

A = 123.7932

Rounding to two decimal places, the surface area of the cylinder is approximately 123.79 square units.

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The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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The unit fraction of all the figures is \(\frac{1}{3}\). The number of units shaded are 3, 3, 2 and 3 units. The fraction shaded is 1, 1, \(\frac{2}{3}\) and 1.

What is a unit fraction?

A unit fraction is a rational number that may be expressed as a fraction with the denominator being a positive integer and the numerator being one. Hence, the multiplicative inverse of a positive integer is a unit fraction.

We are given four figures and each represent 1 whole.

So, the unit fraction of all the figures is \(\frac{1}{3}\) as all the figures are divided into three parts.

It is clear from the figures that apart from one figure, all the parts of the figures are shaded.

So, total number of units shaded is 3, 3, 2 and 3 units respectively.

Now, since all the parts are shaded apart from one figure, therefore the fraction shaded is 1, 1, \(\frac{2}{3}\) and 1.

Hence, the required solutions have been obtained.

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Since there are multiple questions so the question answered above is attached below.

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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Answer:

Mrs Barnes has the highest

Answer:

104 m^2

Step-by-step explanation:

Comment

This is a two step problem.

Find the area of the rectangle.

Find the area of the triangle.

Add

Rectangle

L = 10 in

w = 8 in

Area = L*W

Solution 1

Area = L*w

Area = 10 * 8

Area =                                      80 m^2

Triangle

Base = 8 m

Height = 6 m

Area = 1/2 B * h

Solution 2

Area = 1/2 * 8 * 6

Area =                                       24 m^2

Total Area                                104 m^2

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

3

Step-by-step explanation:

Answer:

um I'm kinda confused right now

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer:

See explanation

Step-by-step explanation:

Fill in the x-values into the equation.

4 ~ 8+1/2(4) ---> 8+2 ---> 10

8 ~ 8+1/2(8) ---> 8+4 --->12

10 ~ 8+1/2(10) ---> 8+5 ---> 13

18 ~ 8+1/2(18) ---> 8+9 ---> 17

Range: 10, 12, 13, 17

f(x)= -8-5x

f(-4)= -8-5(-4)

f(-4)= -8+20

f(-4)= 12

Answer:

f(-4) =12

Step-by-step explanation:

f(x)=-8-5x

Let x = -4

f(-4)=-8-5*-4

      =-8 +20

        12

Answer:

Step-by-step explanation:

for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply

for the second one it would be 5/2 or 2 1/2

For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly

Answer:

2 1/2 for oatmeal

3 for salad

Step-by-step explanation:

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

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answer: The Earth's place in the galaxy was determined largely by an astronomer named Harlow Shapley.  Thanks to the regular periods of these stars and their presence in globular clusters, Shapley was able to map the distances to a number of clusters.

Step-by-step explanation:

Answer:

An astronomer Named Harlow Shapley was the one who announced where we are in space ( Earth ). How? with the help with stars brightness ( Absolute Magnitude ) whereas to how bright a stat appears to be ( magnitude ) they use that calculation to determine the distance from Earth. Harlow Shapley couldn't do this on his own as he needed help with another one's work named Henrietta Swan Leavitt. ( Who established that "Variable Stars" could determine the "astronomical distance " )

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(\frac{\sqrt{2}}{2}\)

Step-by-step explanation:

\(\frac{3\sqrt{2}}{3\sqrt{4}}=\frac{\sqrt{2}}{\sqrt{4}}=\frac{\sqrt{2}}{2}\)

The inequality that models this situation is:

l + b ≥ 12

Here we know that Sophie has two jobs, and she must work no less than 12 hours a week.

Then the inequality is of the form:

total number of hours ≥ 12 hours.

Now, we can define the variables:

b =  number of hours babysitting.

l = number of hours lifeguarding.

Then the total number of hours that she works is l + b

Then the inequality is:

l + b ≥ 12

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