Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first
quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.

The population density in country A is 113 people per square mile while in country B, it is 605 people per square mile.
Select one:
O a. Absolute difference: -492 people per square mile
Relative difference: -81.3%
O b. Absolute difference: 492 people per square mile
Relative difference: 435.4%
O c. Absolute difference: -492 people per square mile
Relative difference: -435.4%
O d. Absolute difference: -492 people per square mile
Relative difference: -8.1%

34 cartons were delivered by the Yellow Bell Farm to various stores in the Hudson Valley.

Let the farm deliver 408 eggs to various stores around the Hudson Valley.

According to the question, a carton contains a dozen eggs.

A dozen is a grouping of twelve objects. It is abbreviated as doz or dz.

1 dozen = 12 eggs

So one carton contains a dozen eggs, or 12 eggs and

12 eggs needs 1 cartoon.

408 eggs needed = 408÷12 = 34 cartons

So 34 cartons were delivered by the yellow farm.

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The common difference of Uth term is 0

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members

Formula

a_n=a_1+(n-1)d

a_n = the nth term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

we gives

a_n=a+(n-1)d

a_11=a+(n-1)d

a_11=a+(11-1)d

a_11=a+10d

a_11=3+10d

10d=-3

d=(-3)/10,  a=3

To find the Uth term of sequence

U_n=a+d(n-1)

U_11=a+d(11-1)

apply the value of a=3,d=(-3)/10

U_11=3+((-3)/10 (11-1) )

U_11=3+((-3)/10 (10) )

U_11=3+(-3)

U_11=0

Therefore, Uth term of arithmetic progression is 0.

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Answer:

The answer is 0.00007

Step-by-step explanation:

Because the number behind the 7 was a 1 and not 5 or more, you could not round the 7 up, so it stayed the same.

Answer:

1. 5x - 15

2. 5x - 3

Step-by-step explanation:

The first one is f(g(x)), which means that you substitute g(x) into f(x).

5(x - 3)

5x - 15

Vice versa for the 2nd one.

(5x) - 3

5x - 3

Hope this helps! :)

Answer:

8/2 or 4

Step-by-step explanation:

y^2 - y^1 / x^2 - x^1

Answer:

B

I don't know how all the answers are B's

Give me brainliest answer.

I hope I could help.

Answer:

non response bias

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

x/3 = 3.75
x = 11.25

Work has been corrected:

If x - 3.75 = 2/3, then x/3 = 3.75 (3.75 is 1/3 of the total money, X.)

We can find the value of x by isolating the variable:

x/3(3) = 3.75(3)
x = 11.25

Thus the total money, x, is 11.25

Solve this problem by setting up ratios with the information you know.

You know:

With this information, you can assume that he used 1/3 of his money.

With this set up a ratio comparing the numerical amount he spent to the ratio of his total money that he spent:

[tex]\frac{1}{3} =\frac{3.75}{x}[/tex]

x= the total amount of money he started with.

Now cross multiply to come up with a final equation:

x = 3.75 × 3

Solve: x = 11.25

The original amount of money he started with was $11.25

The peak wavelength that Earth emits as a blackbody is approximately equal to 9.657 × 10⁻⁶ m.

The Wien's displacement law is a consequence of Planck's radiation law, that states the brightness of a radiative body is a function of wavelength at a given temperature. Wien's displacement law states that peak wavelength is inversely proportional to the temperature (T), in Kelvin. The Wien's displacement law is represented by the following formula:

λ' = b / T

Where:

If we know that b ≈ 2.897 × 10⁻³ m · K and T ≈ 300 K, then the peak wavelength of the Earth is:

λ' = (2.897 × 10⁻³ m · K) / (300 K)

λ' ≈ 9.657 × 10⁻⁶ m

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The height of the stack of shim stocks will be  6 1/4 inches.

A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction in which the numerator is less than the denominator. An example of a mixed number is 1 3/5. A whole number is a number that is not made up of a decimal or a fraction.

In order to determine the height of the stack, multiply the width of each shim stock by the total number of pieces. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.

Height of the stock = width of one stock x number of pieces

50 x 1/8 = 50 / 8 = 6 2/8 = 6 1/4 inches

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The statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).

The equation of the function is given as

f(x) = |x + 3| - 1

The above function is an absolute value function.

An absolute value function is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

This means that the vertex of f(x) is located at (−3,−1)

To calculate the y-intercept, we set x = 0

So, we have

f(0) = |0 + 3| - 1

Evaluate

f(0) = 2

This means that there is a y-intercept located at (0,2).

To calculate the x-intercept, we set y = 0

So, we have

|x + 3| - 1 = 0

Evaluate

x = -2

This means that there is a x-intercept located at (-2, 0).

Hence, the statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).

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Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

y = -54/30 x + 8

What is equation of line?

Equation of line with slope m is,

y = mx + b

Now, The equation of line is find as;

Slope = -19 - 35 / 15 - (-15) = - 54/30

And, The equation of line in the slope form is;

y = mx + b

For finding the value of b we use any one point and put in the equation of line.

Take point (-15, 35) = (x, y)

Put in the equation of line we get;

35 = -54/30 * (-15) + b

35 = 27 + b

b = 8

Hence, Equation of line passing through the points (-15,35) and (15,-19) with slope (m) -54/30 is;

⇒ y = -54/30 x + 8

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If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.

Given:

A= 49.3

B=7.6

Now let find the lower bounds and the upper bounds

Lower bounds is calculated as:

Lower bounds=a-b

Lower bounds=49.35-7.69

Lower bounds=41.66

Upper bounds is calculated as:

Upper bounds=a-b

Upper bounds=49.34-7.55

Upper bounds=41.79

Therefore If a number, a, rounded to 1 decimal point is 49.3. A number, b, rounded to 1 decimal point is 7.6 the upper and lower bounds of a-b is: 41.66; 41.79.

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[tex]3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 [/tex]

Answer:

15 rt2

56 rt2

15 rt3

9 rt5

Step-by-step explanation:

[tex]3\sqrt{50} =3\sqrt{5*5*2} =3*5\sqrt{2} =15\sqrt{2}[/tex]

[tex]8\sqrt{98} =8\sqrt{2*7*7} =8*7\sqrt{2} =56\sqrt{2}[/tex]

[tex]5\sqrt{27} =5\sqrt{3*3*3} =5*3\sqrt{3} =15\sqrt{3}[/tex]

[tex]3\sqrt{45}=3 \sqrt{5*3*3} =3*3\sqrt{5} =9\sqrt{5}[/tex]

Answer:

C The total cost, in dollars, for all binders and notebooks purchased

Step-by-step explanation:

x = the cost of a binder

y =  the cost of a notebook

Mario purchased 4 binders that cost x dollars each and 3 notebooks that cost y dollars each.

4x + 3y = 24

If the given equation represents this situation, which of the following is the best interpretation of 24 in this context?

The total cost, in dollars, for all binders and notebooks purchased.

The equivalent temperature range of the expression is -80 < x < 100.

Inequality are expressions not separated by an equal sign. Inequality expressions can be written as a range in an interval form a<x<b.

According to the given question, we are told that the lowest temperature ever recorded in Alaska is -80 degree F and the highest temperature ever recorded is 100 degrees F.

The range of the temperature expressed as inequality expression is -80<x<100

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The angles in the picture are calculated and their values are as follows:

Given data

a = 3

b = 3.2

c = 5

using cosine rule for <ABC

b^2 = a^2 + c^2 - 2ac cos B

2ac cos B = a^2 + c^2 - b^2

cos B = (a^2 + c^2 - b^2) / 2ac

cos B = (3^2 + 5^2 - 3.2^2) / 2*3*5

cos B = 23.76/30

B = arc cos (0.792)

B = 37.63 degrees

using sine rule for <BCA

sine B / b = sin C / c

sin 37.63/ 3.2 = sim C / 5

C = arc sin (0.954)

C = 72.55

solving for <CAB

< CAB = 180 - 72.55 - 37.63

< CAB = 69.82 degrees

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Considering the definition of an equation and the way to solve it, for 25 words the charges will be the same.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Number of words

Being "x" the number of words, and knowing that:

If the charges are the same, the equation in this case is:

Boat Mart= Boat Bargains

1.30 + 0.12x= 1.80 + 0.10x

Solving:

0.12x - 0.10x= 1.80 - 1.30

0.02x= 0.5

x= 0.5 ÷ 0.02

x= 25

Finally, for 25 words the charges will be the same.

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The value of the logarithm expressions  [tex]log_{2} 8 - log_{2} 4[/tex] is 1.

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

The logarithm expressions is [tex]log_{2} 8 - log_{2} 4[/tex].

Use the properties to rewrite logarithm expressions as a single logarithm

Using only two logarithms at a time, from left to right, use the product property or quotient property of logarithms to rewrite logarithms of the form [tex]log_{b} A - log_{b} B = log_{b} (\frac{A}{B} )[/tex]

= [tex]log_{2} 8 - log_{2} 4 = log_{2} (\frac{8}{4} )[/tex]

=[tex]log_{2} 2[/tex]=1

thus the expressions value is 1.

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Florida (US) is 7.53 times as big as New Jersey (US).

New Jersey is approximately 19,211 sq km, while Florida is approximately 139,670 sq km, making Florida 627% larger than New Jersey. Meanwhile, the population of New Jersey is ~8.8 million people (10.0 million more people live in Florida).

Florida (US)

Florida is a state located in the southeastern region of the United States. With a population of over 21 million, Florida is the third-most populous and the 22nd-most extensive of the 50 United States. The state is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Atlantic Ocean, and to the south by the Straits of Florida. The state's capital is Tallahassee and its most populous municipality is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the seventh-most populous in the United States.

New Jersey (US)

New Jersey is a state in the Mid-Atlantic region of the Northeastern United States. It is bordered on the north and east by the state of New York; on the east, southeast, and south by the Atlantic Ocean; on the west by the Delaware River and Pennsylvania; and on the southwest by Delaware Bay and the State of Delaware. New Jersey is the fourth-smallest state by area but the 11th-most populous, with 8,882,190 residents as of 2019 and an area of 8,722.58 square miles, making it the most densely populated of the 50 U.S. states.

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Answer:

16

Step-by-step explanation:

-7 to 9 is 16 because just doing 9 + 7 is 16.

6. B. 2x + 6

7. A. 4x + 5

8. B. 3x + 10

9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.

Answer:

400

Step-by-step explanation:

if the number was bellow 350 it would be 300 but it's not so 400 is correct

Answer: 367.78

Step-by-step explanation:

hundreds = 3

tens = 6

ones = 7

hundredths = 7

thousandths = 6

ten thousandths = 4

hundred thousandths = 2

367.776  [the 7 would round up to an 8]

367.78

Answer:

7 miles

Step-by-step explanation:

hey

minus 1.30 from 31.05 because that is the pickup fee, so 31.05-1.30= 29.75

and then divide 29.75 by 4.25 therefore 29.75/4.25=7

By applying the law of sines, the value of angle C to the nearest tenth is equal to 20.2 degrees.

In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the parameters into the formula, we have;

sin51/9 = sinC/4

Cross-multiplying, we have:

4sin51 = 9sinC

sinC = 4sin51/9

sinC = (4 × 0.7772)/9

sinC = 3.1088/9

sinC = 0.4

C = sin⁻¹(0.3454)

C = 20.2 degrees.

In conclusion, we can logically deduce that the value of angle C is equal to 20.2 degrees.

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The equivalent expression is 15x + 104 /4

Algebraic expressions are defined as expressions comprised of constants, variables, terms, coefficients and factors.

They are also made up of arithmetic or mathematical operations such as;

Given the expression:

2(3/4x+7) - 3(1/2x-5)

solve for the bracket

3 ( 3x + 28/4) - 3 (x - 10 /2)

expand the bracket by multiplying

9x + 84 / 4 + 3x + 10/ 2

Find the lowest common multiple

9x + 84 + 6x + 20  /4

collect like terms

15x + 104 /4

Thus, the equivalent expression is 15x + 104 /4

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Answer:

(a) 9

(b) -2

Step-by-step explanation:

it is very important to start by finding the equation of the line then substitute in some values.

Answer=0.027777777777778

Step-by-step explanation: = 6−2

=162

=16×6

=136