What is the difference between the area of Figure A and the
area of Figure B? Each grid square represents 1 square foot

If the student walks 3 miles north, south, east, or west,  the location at the end of the walk are respectively, (-10,-9). (-4,-9), (-7,-6). (-7, -12).

So Option A is correct

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

And opposite operation of subtraction is known as addition, which means in addition, few portion provided to the whole part.

Given that,

A student starts a walk at (-7, -9)

If the student walks 3 miles north, south, east, or west,

The location at the end of the walk = ?

Plotting dotted diagram,

                  East

                      |

North --------- |-------------- South

                      |

                  West

Suppose, he goes to north  direction

Then, 3 will be subtracted from x coordinate,

It can be written as,

(-7-3, -9)

(-10, -9)

Similarly, for South, (-4, -9)

East, (-7, -6)

West, (-7, -12)

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The true statement is "viet's car can uses 13 gallons of gas for every miles it travels.

The correct answer choice is option B.

Julio's car:

m = k × g

Where,

m = miles traveled

g = gallons of gas used

m = k × g

300 = k × 12

300 = 12k

divide both sides by 12

k = 300/12

k = 12

So,

m = 12g

Viet's car:

m=13g

Therefore, the correct statement is viet's car uses 13 gallons of gas for every mile.

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Step-by-step explanation:

please make me brainalist and keep smiling

Answer:

If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, then AB = 8.

Step-by-step explanation:

The transformation from the function f(x)=1/x to g(x)=1/5x can be achieved by multiplying the input value x by 5.

f(x)=1/x becomes g(x)=1/(5x) after the transformation

A mathematical transformation is a function that maps one set of values (input) to another set of values (output) based on a set of rules or operations. Transformations can be used to manipulate geometric figures, to change coordinate systems, to map one image to another, and more. Common examples of mathematical transformations include translation, rotation, scaling, and reflection.

It could then be concluded that the transformation is achieved by multiplying the input value x by 5.

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The complete question goes thus:

Describe the f(x)=1/x to g(x)=1/5x transformation

On December 31 of each year, the quick ratio is 1.6. According to the above computation, the quick ratio is improving.

A good fast ratio is often anything greater than 1 or 1:1. If the ratio is 1:1, the company's liquid assets and current liabilities are equal in amount. A greater ratio means the business could more than cover its current liabilities.

For the present year

Current liabilities minus Quick Assets is the Quick Ratio.

= ($1,000 + $1,200 + $800) ÷ $1,875

= $3,000 ÷ $1,875

= 1.6

Current liabilities minus Quick Assets is the Quick Ratio.

=($1,140 + $1,400 + $910) ÷ $2,300

= $3,450 ÷ $2,300

= 1.5

b. according to the above computation, the quick ratio is improving.

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On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2). The magnitude of the vector is 5

The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences of the x and y components. In this case, the x component is 3 and the y component is 2, so the magnitude can be calculated as follows:

√(3^2 + 2^2) = √(9 + 4) = √(13) = 5

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Answer:

its D

Step-by-step explanation:

on edge

The value of function for f'(2) is 0.22.

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

Given that, f(x)= √(x+3) at the specific point x=2.

f'(2)= [tex]\lim_{h \to \ 0}[/tex]((f(2+h)-f(2))/h)

Find the derivative using the chain and power rules.

[tex]f(x)=(x+3)^{\frac{1}{2} }[/tex]

f'(x) = [tex]\frac{1}{2(x+3)^{\frac{1}{2} }}[/tex]

f'(2)=  [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]

f'(2)=  [tex]\frac{1}{2(2+3)^{\frac{1}{2} }}[/tex]

f'(2)= 1/2√5

f'(2)= 1/4.47

f'(2)= 0.22

Therefore, the value of function for f'(2) is 0.22.

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The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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Answer: I don't know what's in the drop down menu, but the relationship you displayed is indeed a proportonial relationship

Step-by-step explanation: For each change of x, an equal change of y occurs. If you double x, y doubles as well. That means that the relationship between x and y is dirctly proportional.

Answer:

Step-by-step explanation:

does not I think

The ratio will remain constant. Then the value of the variable 'x' will be 2.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio will remain constant. Then the equation is given as,

9/4 = 13.5 / (x + 4)

9(x + 4) = 13.5 (4)

9x + 36 = 54

9x = 18

x = 2

The ratio will remain constant. Then the value of the variable 'x' will be 2.

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The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)

is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.

We know that, rule of reflection over y-axis,

(x, y) → (-x, y)

Q' = (3, 1)

R' = (-8, -2)

S' = (-7, -7)

T' = (-2, -6)

Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

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The sum of given polynomial is x⁴+x³+4x²-5x-8.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

The given polynomials are x⁴-3x + 1, 4x²-2x+8, and x³-9.

Here, x⁴-3x + 1+4x²-2x+8+x³-9

= x⁴+x³+4x²-3x-2x-9+1

= x⁴+x³+4x²-5x-8

Therefore, the sum of given polynomial is x⁴+x³+4x²-5x-8.

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"Your question is incomplete, probably the complete question/missing part is:"

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.

x⁴-3x + 1, 4x²-2x+8, and x³-9

The value of x is 9 and the measure of each side is 35 units.

A triangle is said to be equilateral if each of its three sides is the same length.

In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x ---> QR = 17 + 2x

RS is 19 less than six times x, ---> RS= 6x - 19

And QS is one less four times x, ---> QS = 4x -1

We have to find x and measure of each side.

Now, we know that, the sides of an equilateral triangle are equal,  

If we solve for RS and QS, we find they are both equals to 35.

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Answer:

D. The average rates of change of f and g cannot be determined from the given information.

Step-by-step explanation:

To determine the average rate of change of a function, we need the equation of the function. Since the equation of g is not given, we cannot determine the average rate of change of g and compare it with the average rate of change of f. Hence, option D is the correct answer.

The other equation in the form y = mx + b is y = x + 3

From the question, we have the following parameters that can be used in our computation:

y = -3x + 5

y = mx + b has a slope of 1

So, we have

y = x + b

The point where the graphs of two equations intersect has y-coordinate 2.

So, we have

3x + 5 = 2

x + b = 2

Eliminate x

So, we have

3b - 5 = 6 - 2

Evaluate

3b = 9

So, we have

b = 3

hence, the equation is y = x + 3

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The equivalent expression is 8x + 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(x + 5)² - (x - 3)(x + 5)

x² + 10x + 25 - (x² + 5x - 3x - 15)

x² + 10x + 25 - x² - 2x + 15

8x + 40

Thus,

8x + 40 is the equivalent expression.

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Answer: $84

Step-by-step explanation:

The interest earned in 2 years would be $600 * 7% * 2 = $84.

Answer:

70 parking spaces were full.

Step-by-step explanation:

To calculate this, multiply the total number of parking spaces (100) by the percentage of the lot being used (70%):

100 * 0.70 = 70

Answer:

Step-by-step explanation:

The slope of a line can not be found between two points with the same x-coordinate, as division by zero is undefined. Hence, the line defined by the points (-2,10) and (-2,-15) is a vertical line and has no slope.

The y-intercept of a line is the point at which the line intersects the y-axis, i.e., the value of y when x=0. A vertical line does not intersect the y-axis, hence it has no y-intercept.

Since the line has no slope or y-intercept, its equation can not be written in the standard form of y = mx + b, where m is the slope and b is the y-intercept. Instead, the equation of the line can be written as x = constant, where constant is the x-coordinate of the points on the line, i.e., x = -2.

The solution for the given equation is 15. Therefore, Nico, Raj and Sandra are correct.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 2/5 (5+x)=8

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Method 1:

Now, 2(5+x)=40

5+x=20

x=15

Method 2:

Multiply 5/2 on both the sides of an equation, we get

2/5 (5+x)×5/2 =8×5/2

5+x=20

x=15

Therefore, Nico, Raj and Sandra are correct.

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"Your question is incomplete, probably the complete question/missing part is:"

Nico, Aditi, Erick, Raj, and Sandra are solving the equation.

Two-fifths (5 + x) = 8

Each student begins to solve the problem as shown.

Nico

Aditi

Erick

Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves)

Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8

Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5

Raj

Sandra

Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half)

Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8

Which students are correct in their approach to solving the problem? Select three options.

Nico

Aditi

Erick

Raj

Sandra

The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;

B. 96 in²

The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.

The description of the shape in the figure = Square pyramid

Side length of the square base of the square pyramid = 4 inches

Base length of the triangular slant faces = Side length of the square base = 4 inches

Height of the triangular faces = 10 inches

The surface area of the square pyramid is therefore;

Sum of the area of the four triangular faces + Area of the square base

Area of one triangular face = (1/2) × 4 × 10 = 20

Area of the square base = 4 × 4 = 16

The total surface area of the square pyramid is therefore;

A = 4 × 20 in² + 16 in² = 96 in²

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Answer:

hi

Step-by-step explanation:

Add a phrase to the shape's perimeter to get the side length that is missing.The total length of all of a shape's sides makes up the shape's perimeter.

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The missing side length of perimeter of the figure is 15 feet is 5.

To get the length of the missing side, subtract the perimeter from the total of the known sides. Advice: Consider it. The whole and one component are both known. You deduct the known portion from the total to determine the missing component.

Since there are two of each side length, it is easy to do this by simply adding the length and breadth and multiplying the result by two. The perimeter formula is defined as

perimeter=(length + width)2.

or

add all sides

4 + 3+ 3+ x = 15

10 +x = 15

x = 15 -10 = 5

x = 5

The missing side length of perimeter of the figure is 15 feet is

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Answer: The answer is 12x-3

Answer: x = -2/3

Step-by-step explanation:

6x+8=3x+6

First, subtract 8 from each side. we now have 6x = 3x - 2. now we subtract 3x from each side and we get 3x = -2. we have to divide both by 3 now. The 3’s cancel each other out so now we have x = -2/3

The solution of the system of equations is (8, 11).

We know that one of the equations of the system is:

y = x + 3

And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:

a = (3 - 1)/(4 - 3) = 2

So the line is something like:

y = 2*x + b

To find the value of b, the y-intercept, we can replace the values of one of the points.

I will use (3, 1)

1 = 2*3 + b

1 = 6 + b

1 - 6 = b

-5 = b

So the other line is y = 2x - 5

Then the system of equations is:

y = x + 3

y = 2x - 5

Now we can solve the system:

x + 3 =2x - 5

3 + 5 = 2x -x

8  =x

The x-value of the solution is 8, then the only option that can be correct is.

(8, 11)

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a) The double-declining-balance rate is 0.5 or 50%.

b) The double-declining-balance depreciation for the first year is $53800.

What is depreciation?

Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.

The formula of the double-declining-balance rate is 2 × (1/useful life)

Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.

The double-declining-balance rate is

= 2 × (1/4)

= 0.5

= 50%

The double-declining-balance depreciation for the first year is

$107,600 ×  50%

= $107,600 × (1/2)

= $53800

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Answer:

2,6,7,8,9 because if doubled it should equal more than ten

The Imaginary part is [tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]

[tex]& \frac{5+2 i}{-1+\sqrt{3} i} \times \frac{-1-\sqrt{3} i}{-1-\sqrt{3} i} \\[/tex]

[tex]& =\frac{-5-5 \sqrt{3} i-2 i+2 \sqrt{3}}{4} \\[/tex]

[tex]& =\frac{-5+2 \sqrt{3}}{4}+i\left(\frac{-5 \sqrt{3}-2}{4}\right) \\[/tex]

Imaginary part

[tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]

The complete question is,

Find the imaginary part of 5+2i/-1+√3i

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The complex number -i5 has -i5 as its imaginary component.

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