(x-2)= - 1/4(x-8) what does x equal?

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

\(\frac{30 pages}{60 min} =\frac{1225 pages}{x min}\)

We cross muliply so get our equation.

\(30x=1225(60)\\\)

\(30x=73500\)

\(x=2450 min\)

It took Mike 2450 min to read 1225 pages. We can also use a proportion to write this in hours

\(\frac{60min}{1hr} =\frac{2450min}{x }\)

\(60x=2450\)

\(x=40 hr 50 min\)

Answer:

27.78 pounds

Happy to help

Hope it's write

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

1,600 m² =      5² m²      

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x = 1600 m²

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

The area of a square park in the drawing is 64 cm².

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

The area of a square is equal to the squared of sides or the multiplication of two sides.

Given that the scale from a square park to a drawing of the park is 5 m to 1 cm.

The area of the actual park is 1,600 m²

To determine the area of the drawing of the park​

Since 5 meters to 1 centimeter is the scale from a square park to a drawing of the park.

So the drawing scale is 5m : 1cm

Let the area of the drawing of the park​ is A

Since the area of a square is equal to the squared of sides or the multiplication of two sides.

So 1600m²/A = 5²m² / 1² cm²    

Cross multiplication in the terms

⇒ 5² m² A = 1600 m²*cm²    

⇒ A = 1600m²*cm²/ 5² m²

⇒ A = 64 cm²

Hence, the area of a square park in the drawing is 64 cm²

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The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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The Excel formula to enter in cell H4 is = (G4 + 14)

Excel formulas are expressions used to perform computation.

To determine the formula:

From the question,

The date the client was last contacted is in cell G4

14 days is to be added to the content of cell G4

So, the formula is:

G4 + 14

Add bracket

(G4 + 14)

Excel formulas begin with the equality (=) sign

So, we have:

= (G4 + 14)

Hence, the formula to enter the cell H4 is = (G4 + 14)

Complete question:

In the cell, H4 creates a formula without a function that adds 14 days to the date the client was last contacted cell G4

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Excel formulas are expressions used to perform computation.

The date the client was last contacted is in cell G4

14 days is to be added to the content of cell G4

So, the formula is:

G4 + 14

Add bracket

(G4 + 14)

Hence, the formula to enter the cell H4 is = (G4 + 14)

In the cell, H4 creates a formula without a function that adds 14 days to the date the client was last contacted cell G4

Answer

F and G

Step-by-step explanation:

Answer:

F and G

Step-by-step explanation:

Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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Answer:

9(8d + 9)

Step-by-step explanation:

Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:

72d + 81

9(8d + 9)

So, the factored expression is 9(8d + 9)

There are four significant figures in the number 1.032.

Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:

Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.

Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.

Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.

Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.

By applying these rules, we find that the number 1.032 has four significant figures.

The number 1.032 has four significant figures.

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The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

you should draw that couse i experience like that to

maybe can help

Answer:

The greatest number of cutlery holders Layla can stock is 15 holders.

Step-by-step explanation:

You can put 2 of each type of cutlery in each holder.

12 forks use 6 holders.

18 knives use 9 holders.

6+9=15

The greatest number of cutlery holders Layla can stock is 15 holders.

Answer:

FALSE

Step-by-step explanation:

They are both 0.

Answer:

Step-by-step explanation:

(768-543)/d=1/10

225/d=1/10

d=10(225)

d=2250

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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Answer:

No. of Permutations=3360.

Step-by-step explanation:

\(watch.some.anime\)

The number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

The word is:

"believable"

Total number of letters = 10

b repeated two(2) times

e repeated three(3) times

l repeated two(2) times

No. of Permutations = 10!/(2!3!2!)

No. of Permutations = 15,1200

Thus, the number of distinct permutations that can be formed using the letters of the word believable is 15,1200.

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Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

The product between the two fractions is equal to 1/15.

When we want to take the product between two fractions, we need to multiply the numerators and the denominators together.

This means that if we have two fractions (a/b) and (c/d), the product between them is written as:

(a/b)*(c/d) = (a*c/b*d)

In this case we have:

(1/3)*(1/5)

Using the above rule we can solve the product as:

(1/3)*(1/5) = (1*1)/(3*5)

(1/3)*(1/5) = 1/15

That is the solution for the product.

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Answer:

.2 degrees

Step-by-step explanation:

180-170 is 10

10/50 is .2

The size of the other angle will be 0.2 degrees.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

It is given that a polygon has 50 sides but one of its angles is 170 degrees.

The remaining angle will be calculated as:-

180-170 = 10

The size of the other angle is calculated below:-

Angle = 10/50

Divide the value 10 by 50 to get the angle.

Angle = 0.2

Therefore, the size of the other angle will be 0.2 degrees.

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The number of cubes in the rectangle prism will be 320. Then the correct option is D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A right rectangular prism is completely filled with small cubes. Each small cube has edges that are 1/4 inches long. The volume of the prism is 5 inches.

Let 'n' be the number of cubes. And all the sides of the cube are congruent. Then the volume of each cube is calculated as,

Volume of cube = (1/4) x (1/4) x (1/4)

Volume of cube = 1 / 64 cubic inches

The volume of the rectangle and the volume of small 'n' cubes will be equal. Then we have

Volume of 'n' cube = Volume of a rectangle

(1 / 64) n = 5

n = 5 x 64

n = 320

The number of cubes in the rectangle prism will be 320. Then the correct option is D.

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The events that have a probability of 0.5 or greater are a,b,d.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however possible an incident is to occur, or however possible it's that a proposition is true. The chance of an incident could be a variety between zero and one,

Main body:

In this question , we need to find events with probability of 0.5 or greater.

A)

P(Flipping a fair coin and having it land on heads ) = 1/2

                                                                                    = 0.5

so it is  a event which are we looking for.

B)

P(Rolling a fair number cube and getting a 3, 5, or a 6) = 3/6

                                                                                           = 1/2 = 0.5

so it is  a event which are we looking for.

C)

P(Rolling a fair number cube and getting a 5 or a 6) = 2/6

                                                                                      = 1/3 0..3

so it is not a event which are we looking for.

D)

P(Rolling a fair number cube and getting a number that is not 5.)= 5/6

                  =0.84

so it is  a event which are we looking for.

Hence , event a,b,d are events that have a probability of 0.5 or greater.

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Answer:

D. 30°

Step-by-step explanation:

QP and QR have the same length "8" , therefore, the triangle is an isosceles triangle. Opposite angles are congruent.

- ∠R = ∠P

- ∠R = 30°

-----------------------------

Answer:

\(Blue = \frac{8}{9}\)

Step-by-step explanation:

Given

\(Yellow = 1ft^2\)

\(Blue = 8z^{-1\)

Required

Evaluate Blue when z = 9

To do this, we simply substitute 9 for z in \(Blue = 8z^{-1\)

\(Blue = 8 * 9^{-1\)

Convert indices to fraction

\(Blue = 8 * \frac{1}{9}\)

\(Blue = \frac{8}{9}\)

Hence, the blue section has an area of \(\frac{8}{9}ft^2\)

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\(\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}\)

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

Step-by-step explanation:

ifyb unnrunrjg g be gnrunrnhe

Answer:

1 over 36

Step-by-step explanation: