Suppose that the functions q and r are defined as follows

Answer: 8^5

Step-by-step explanation: 8^6 is 8*8*8*8*8*8, so when you divide by 8 it cancels one of the 8s. Therefore you are left with 8*8*8*8*8 or 8^5.

Answer:

40 hours

26.09 hours

Step-by-step explanation:

What is the driving time for a ​1800-mile trip if you drive at an average speed of 45 miles per​ hour?

1800 / 45 = 40 hours

What is the driving time at 69 miles per​ hour?

1800 / 69 = 26.09 hours

Step-by-step explanation:

The driving time for a 1800-mile trip at an average speed of 45 miles per hour can be calculated as

Driving time = Total distance / Average speed

Driving time = 1800 miles / 45 miles per hour = 40 hours

Similarly, the driving time at an average speed of 69 miles per hour can be calculated as:

Driving time = 1800 miles / 69 miles per hour = 26 hours

So if you drive at an average speed of 45 miles per hour, the driving time for a 1800-mile trip would be 40 hours, and if you drive at an average speed of 69 miles per hour, the driving time would be 26 hours.

Answer:

i thinks its A im not for sure but give some money if its wrong fam bc im nice like that

Step-by-step explanation:

The requried solution of the system of equations is (-1, -2). Option C is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two intersecting lines will have exactly one solution (i.e., a unique point of intersection) if and only if they are not parallel.

In other words, if the slopes of the two lines are different, they will intersect at a single point. This is because the slopes of the lines determine how steep they are, and if they are not the same, they will eventually cross at a single point. So from the graph, both lines intersect at (-1, -2) implying that The solution is (-1, -2).

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Answer: 4

Step-by-step explanation: 15-11=4

The inequality is |x-9| ≥ 4, and its solution set is (5,13).

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality of the form |x-a| ≥ k means that the distance between x and a is greater than or equal to a certain value, k.

If the solution set is (5,13), it means that x is a number between 5 and 13, but not including 5 or 13. In other words, 5 < x < 13.

To find the value of a and k, we need to look for the midpoint of the solution set, which is (5+13)/2 = 9.

The distance between 9 and either endpoint (5 or 13) is 4, which is the value of k.

Thus, the inequality is |x-9| ≥ 4, and its solution set is (5,13).

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Answer:

m∠2=12°

Step-by-step explanation:

some of two angles is 90

90 -78=12

Answer:

76°

Just know that angles on the parallel sides always add up to 180°

Answer:

Step-by-step explanation:

All you have to do is put the values of x in the inequality.

The first, x=-45:

put that into x/-5 = -45/-5 =9 and so on.

Hope this helps :)

Answer:

A = w*6

Step-by-step explanation:

W = A/6

Multiply both sides by 6 using the multiplication property of equality.

A = W*6

or

A = W x 6

Hope this helps!

Answer:

100π - 192 or 122.159....

Step-by-step explanation:

In order to find the diameter we much first split the rectangle diagonally and find the hypotenuse using Pythagorean theorem.

a^2 + b^2 = c^2

16^2 + 12^2 = c^2

400 = c^2

c = 20

If the diameter of the rectangle is 20, the radius is just half of that which is 10. Then you just need to a do a basic calculation for area of a circle and then subtract out the area of the rectangle.

Area of circle = πr^2 = π(10^2) = 100π (keeping it in exact value since π is infinite)

Area of rectangle = lw = (16)(12) = 192

Area of shaded area = 100π - 192 (exact) = 122.159 (estimate)

Answer:

The answer is 112ft

Step-by-step explanation:

32+16+8+8+16+8+8+16 = 112ft

Answer:

112ft

Step-by-step explanation:

The length of the little rectangle jutting out is the only unmarked length, so once we find that we can just add up all the sides to find the perimeter.

We see the overall length of the shape is 24ft and the length of the top of the shape, minus the unmarked length, is 16ft. This means the unmarked length is 24ft-16ft=8ft

Now add up each side to get to the perimeter:

32ft + 16ft + 16ft + 8ft +8ft +8ft +8ft +16ft = 112ft

Answer:

384 cm

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Can't see the whole transaction because it is cutoff on the bottom but it looks like   b

The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 8²

x² + y² = 64.

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Answer:

$150

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 3000(.05)(1)

I = 150

Answer:

15

Step-by-step explanation:

9/21 aproximatly = 0.42 then x35 = 15

The required trigonometry ratio that would be used to find x is cosine. Option B is correct.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
Consider the triangle ACB, in order to determine the measure of x, we can use the cosine operator of the trigonometric ratio.
So,
cosB = BC/AB
cos37 = 11/x

0.8 = 11/x
x = 11 / 0.8
x = 13.75

Thus, the required trigonometry ratio that would be used to find x is cosine. Option B is correct.

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The width of the container can be calculated by dividing the product of the length and height by the volume. The width is 28.1 ft.

[tex]30 ft x 7.5 ft = 225 ft^3[/tex]

[tex]1800 ft^3 / 225 ft^3 = 8[/tex]

[tex]225 ft^3 / 8 = 28.125 ft[/tex]

Width = 28.1 ft

To calculate the width of the shipping container, you need to divide the product of the length and height by the volume. The length of the container is given as 30 ft, and the height is given as 7 ft 6 inches or 7.5 ft. Thus, the product of the length and height is [tex]225 ft^3[/tex]. The volume of the container when it is full is given as [tex]1800 ft^3[/tex]. To find the width, divide the product of length and height by the volume. Thus,[tex]225 ft^3 / 1800 ft^3 = 8[/tex]. Then, divide the product of length and height by the result you got in the previous step, that is,[tex]225 ft^3 / 8 = 28.125 ft[/tex]. This is the width of the container. Round this value to the nearest tenth and you get 28.1 ft as the width of the container.

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Answer:

10

Step-by-step explanation:

a² + b² = c²

8² + 6² = c²

64 + 36 = c²

100 = c²

c = 10

The number of each type of coins are 3 nickle, 3 dime and 5 quarters.

A usually flat piece of metal issued by governmental authority as money.

Given that, a collection of nickels, dimes, and quarters consist of 11 coins with a total of $1.70

We know that, the values are:

quarters (q) = 25 cent, nickles (n) = 10 cent, dime (d)  = 5 cent:

q + n + d  = 11 coins…(x)

25q + 10n + 5d = 170 cents

Since, d = n

Therefore,

q + 2n = 11

25q + 15n = 170

q + 2n = 11...(i)

5q + 3n = 34...(ii)

Put q = 11-2n, in eq(ii)

Therefore,

5(11-2n)+3n = 34

55-10n+3n = 34

7n = 21

n = 3

Put n = 3 in eq (i)

q = 11-6

q = 5

Put the values of n and q in eq (x)

3+5+d = 11

d = 3

Hence, the number of each type of coins are 3 nickle, 3 dime and 5 quarters.

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The y-intercept b of the equation of the line is 30.

The graph represent a linear relationship between the temperature in degree farad and time in minutes.

Therefore, let's find the y-intercept b of the equation.

Hence, using slope intercept form,

y = mx + b

where

Therefore,

y = 20x + b

where

Using (6, 150) let's find b as follows:

y = 20x + b

150 = 20(6) + b

150 - 120 = b

Therefore,

b = 30

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The midpoint and length of the sides of the triangle can be presented  follows

22 Part A

Midpoint of [tex]\overline{AB}[/tex] = (3, 5)

Midpoint of [tex]\overline{BC}[/tex] = (6, 4)

23 Part B

Length of [tex]\overline{AC}[/tex] is 2·√(10)

Slope of [tex]\overline{AC}[/tex] is -1/3

25 Part D

According to the midsegment theorem, Darlene is correct

The midpoint of a segment divides the segment into two same length segments.

22 Part A

The midpoint, ([tex]x_m[/tex], [tex]y_m[/tex]) between points (x₁, y₁), (x₂, y₂) of a segment can be found as follows;

[tex]x_m[/tex] = (x₁ + x₂)/2, [tex]y_m[/tex] = (y₁ + y₂)/2

The coordinates of the points in the triangle are; A(2, 2), B(4, 8), and C(8, 0)

23 Part B

The length of a segment with boundary points (x₁, y₁), (x₂, y₂) is the distance between the points (x₁, y₁), (x₂, y₂), which is found using the following distance formula for finding the distance, d, between points;

The length of the segment [tex]\overline{AC}[/tex] is the distance between the points A(2, 2), and C(8, 0), which is found as follows;

Where;

(x₁, y₁) = (2, 2) and (x₂, y₂) = (8, 0), we get;

Length of [tex]\overline{AC}[/tex] = √((8 - 2)² + (0 - 2)²) = √(6² + (-2)²) = √(40)

The slope of a line, m = (y₂ - y₁)/(x₂ - x₁)

25 Part D

The length of the line segment connecting the midpoint can be found using the distance formula as follows;

Therefore;

Length of the line segment connecting the midpoint = √((6 - 3)² + (4 - 5)²) = √(10)

The line segment connecting the midpoint is half the length of [tex]\overline{AC}[/tex], which is stated in the midsegment theorem

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Answer: b

Step-by-step explanation:  ias  chinadu  

B because that's the VA which would be intellectually specialist.

Answer:

a.18%

b.68%

Step-by-step explanation:

for a you need to multiply 2 to get 18 out of 100 to get 18% and for b you need to multiply 4 to get 68 out of 100 to get 68%

The domain of f  * g is the set of all real numbers x such that x ≤ 6.

In interval notation, we can write:

Domain of f * g = (-∞, 6].

What is the domain of the function?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The domain of the function f(x) = √(6-x) is the set of all real numbers x such that 6-x ≥ 0, which is x ≤ 6.

The domain of the function g(x) = x² - x is the set of all real numbers x, since there are no restrictions on the input.

To find the domain of the function f * g, we need to consider the values of x for which the expression f(x) * g(x) is defined.

We have:

f(x)g(x) = √(6-x)(x² - x)

The expression is defined only if both factors are defined.

For the first factor, √(6-x) to be defined, we need 6-x ≥ 0. This means that x ≤ 6.

For the second factor, x² - x to be defined, there are no restrictions on the input.

Therefore, the domain of f * g is the set of all real numbers x such that x ≤ 6.

In interval notation, we can write:

Domain of f * g = (-∞, 6].

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The solution is Option D.

The difference in shopping from store and online is given by the equation D = $ 0.46

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of shopping in physical store be A

Let the total cost of shopping online be B

Now , the equations will be

The number of batteries = 2

The number of stereo = 1

The number of CDs = 3

The cost of buying 2 packs of batteries from store = 2 x ( 5.99 ) = $ 11.98

The cost of buying 1 stereo from store = 1 x ( 100 ) = $ 100.00

The cost of buying 3 CDs from store = 3 x ( 7.95 ) = $ 23.85

The total purchase cost without discount and sales tax = $ 135.83

The cost with 10 % discount = $ 122.247

The cost after 5 % sales tax = $ 128.35935

So , the total cost of shopping in store A = $ 128.35935

And ,

The cost of buying 2 packs of batteries online = 2 x ( 4.99 ) = $ 9.98

The cost of buying 1 stereo from online = 1 x ( 90 ) = $ 90.00

The cost of buying 3 CDs from online = 3 x ( 8.95 ) = $ 26.85

The total purchase cost without discount and sales tax = $ 126.83

The cost with $ 5 discount = $ 121.83

The shipping cost in online store = $ 121.83 + $ 6.99 =

So , the total cost of shopping in online store A = $ 128.82

Now , the difference in shopping from store and online is

D = $ 128.82 - $ 128.35935

On simplifying the equation , we get

D = $ 0.46

Hence , the equation is D = $ 0.46

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well, in 2007 it was 12000, so initially that's what it was, and in 2019 it went to 23000, so that's 12 years later, and in 2040, that'll be 33 years later.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 23000\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12\\ \end{cases} \\\\\\ 23000 = 12000(1 + \frac{r}{100})^{12}\implies \cfrac{23000}{12000} =\left(1+ \cfrac{r}{100} \right)^{12} \\\\\\ \cfrac{23}{12}=\left(\cfrac{100+r}{100} \right)^{12}\implies \sqrt[12]{\cfrac{23}{12}}=\cfrac{100+r}{100}[/tex]

[tex]100\sqrt[12]{\cfrac{23}{12}}=100+r\implies 100\sqrt[12]{\cfrac{23}{12}}-100=r\implies \boxed{5.57\approx r} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &12000\\ r=rate\to 5.57\%\to \frac{5.57}{100}\dotfill &0.0557\\ t=years\dotfill &\stackrel{year~2040 }{33}\\ \end{cases} \\\\\\ A \approx 12000(1 + 0.0557)^{33} \implies \boxed{A \approx 71782}[/tex]

Answer:

Theres nothing shown

Step-by-step explanation: