Find the quotient. 35,370 ÷ 262

The points given represent a function. The rate of change in the function is 5. The correct option is C.

It is the average amount by which the function is modified per unit throughout that time period. The specified points' coordinates should be found. The choice to label them is yours. The difference between the output values should be found. The difference between the input values should be found.

It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

Therefore, the correct option is C, 5.

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The measure of the angle ∠IHD is congruent to the measure of the angle ∠FGE.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

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

In triangles ΔIHD and ΔFGE, we have

∠IHD ≅ ∠FGE        (Given)

The measure of the angle ∠IHD is congruent to the measure of the angle ∠FGE.

Congruent means equal. Then The measure of the angle ∠IHD is equal to the measure of the angle ∠FGE.

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Answer

They would both be (0,-7)

Step-by-step explanation:

The reflection Is pretty much the opposite of the line on the graph. Think of it as looking in a mirror. 0 has no opposite, and -7 is the opposite of 7.

33°

Since it's a right triangle that has an immediate 90° angle, we have 90°'s left to worry about. We have two angles to worry about it, and since one angle is bigger than the other by 24°, it means that the gap between them is 24°. After doing some mental math, you get 57° + 33°. The gap between them is 24°, and they add up to 90°. Finally, since you're looking for the smaller angle in this problem, then 33° would be your answer.

Option A is correct.

The given line has a slope of 5 which can be calculated by counting the change in the y-direction with respect to the change in the x-direction from the graph. And the y-intercept is -1

The equation of the line is,

y=5x-1 or

5x-y=1

Checking the point (0,0) into the equation we can see that 0<1, hence, the correct inequality is,

[tex]5x-y\leq 1[/tex]

Hence, the correct inequality is not listed.

Answer:

The answer is $10

Step-by-step explanation:

It means she paid tax of $8.60 which is 6%

So,

(8.60 × 6) ÷ 100

51.6/100 = $0.516

Here, The tax was $0.516

Total cost of meal

= $0.516 + $8.60 = $9.116 (including tax)

(9.116 × 10) ÷ 100 = $0.9116

Total cost (including tip)

= $9.116 + $0.9116 = $10.0276 ≈ $10

Thus, Tara spend $10 altogether.

Answer:

5:2

2/5

5 to 2

Step-by-step explanation:

The original fraction is 10/19

Let the fraction be [tex]\frac{x}{y}[/tex]

Now , according to question

[tex]\frac{x+2}{y+5}[/tex] =[tex]\frac{1}{2}[/tex]

⇒ 2(x+2)=y+5

⇒2x-y-1=0-------(1)

and [tex]\frac{x-4}{y-1}[/tex]=[tex]\frac{1}{3}[/tex]

⇒3(x-4)=y-1

⇒3x-y-11=0------(2)

subtracting 1 from 2 we get

2x-y-1

3x-y-11

-  +  +

⇒ x=10

putting in (1)

20-y-1=0

y=19

∴ The actual fraction was 10/19

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There are an improper fraction of 29/20 ounces or a mixed fraction of one whole number and a fraction of 1/20 ounces in the mixture.

We shall add the two fractions 4/5 and 13/20, but firstly we find the lowest common multiple (LCM) of their denominators to enable us get a single denominator before simplifying the numerator.

LCM of 2 and 20 is equal to 20

20/5 = 4 and 20/20 = 1

4/5 + 13/20 = (4×4 + 1×13)/20

4/5 + 13/20 = (16 + 13)/20

(4/5 + 13/20) ounces = 29/20 ounces

Therefore, 29/20 is an improper fraction gotten by adding the fraction of ounces, but when expressed as mixed fraction is one whole number, and a fraction 1/20 ounces in the mixture.

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Answer:

J is a function

K is not a function

Step-by-step explanation:

A function is when every input (x) has only one output (y).

J

The ordered pairs are:

(-4,2) ( -8,2) (4, 1) ( 5,1)  Every x has only 1 y.

K

The ordered pairs are:

(4,-3) (3, -5) (2, -5) (2, -4)

the input (x) 2 has two outputs (-5, and -4)  This is why this is not a function.

The approximate surface area of the cone is equal to: B. 103.6 in².

Mathematically, the surface area (SA) of a cone can be calculated by using this mathematical expression:

Surface area (SA) of a cone = πr(l + r)

Where:

Note: Radius = diameter/2 = 6/2 = 3 inches.

Substituting the given parameters into the surface area (SA) of a cone formula, we have the following;

Surface area (SA) of a cone = πr(l + r)

Surface area (SA) of a cone = 3.14 × 3(8 + 3)

Surface area (SA) of a cone = 3.14 × 3(11)

Surface area (SA) of a cone = 103.6 in²

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The equations that have the solution x = 5 are 25/x + 4 = 9 and 32 − 4x = 12

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

x⁵ + 5 = 6

25/x + 4 = 9

32 − 4x = 12

11 + 6x = 22

3x + 1 = 9

18 − 2x = 9

Solving each equation, we have

Equation 1: x⁵ + 5 = 6

Evaluate the like terms

x⁵  = 1

Take the fifth-root

x = 1

Equation 2: 25/x + 4 = 9

Evaluate the like terms

25/x = 5

So, we have

5x = 25

Divide by 5

x = 5

Equation 3: 32 − 4x = 12

Evaluate the like terms

4x = 20

Divide by 4

x = 5

Equation 4: 11 + 6x = 22

Evaluate the like terms

6x = 11

Divide by 4

x = 11/6

Equation 5: 3x + 1 = 9

Evaluate the like terms

3x = 8

Divide by 3

x = 8/4

Equation 6: 18 − 2x = 9

Evaluate the like terms

2x = 9

Divide by 2

x = 9/2

Hence, the equations are 25/x + 4 = 9 and 32 − 4x = 12

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An inequality to show the number of tickets that need to be sold is;

x + y ≥ $400

Inequality is simply defined as the comparison and boundary for two non equal values. Thus, we can easily say that inequality compares the values that are non equal.

We are told that the owner wants to make $400 and sets boundary that;

The least amount to make = $400

The highest amount to make = infinite

This introduces relation in inequality as $400 or greater than $400.

Therefore the money made is counted as a combination from child tickets and adult tickets. If x is the amount that is made made through child tickets and y is the amount made from the adults, then we have;

x + y ≥ $400

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Answer:

-1

Step-by-step explanation:

:)

1) write slope formula:

       rise        y2-y1

m= -------   =-----------

       run         x2-x1

put your problem in the y and x your problem

     1 - 2            -1

m=---------=  -----------=-1

      2 - 1            1

Also you don't even need need to do this entire you can just see what it is decreasing  or increasing by it it is a whole number

The hybrid car needs 17 gallons of gas for 714 ​-mile trip.

The problem is solved using the unit rate.

Where unit rate refers to an item's consumption or price for one of it. This is expressed as a ratio with one as the denominator.

In the problem, we have that 4 gallons travels 168 miles the unit rate is solved as follows

unit rate =  number of gallons / number of miles

unit rate = 4 gallons /  168 miles

unit rate = 1/42 gallons per mile

solving for 714 miles trip

= unit rate * number of miles

= 1/42 * 714

= 17 gallons

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Answer:

17 gallons

Step-by-step explanation:

714 * 4 / 168 = 17 gallons

The  the area and perimeter of the shapes in terms of pi are 36pi - 72.

You should understand that the perimeter of the object is the distance round the object.

A circle's area is calculated as pi*r², so a semicircle is pi*r² / 2, and a quarter circle is pi*r² / 4.

A triangle's area is 0.5*base*height.

We have a quarter circle of radius 12, of which the area is pi*(12² / 4) = 36pi.

The area of the triangle ABC is 0.5*12*12 = 72,

This means that the shaded area is 36pi - 72.

Rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of AD is actually identical in area to the blank semicircle-shaped space to the left of BC.

So if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. The area of a square is s² = 24² = 676 cm².

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Correct question:

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answer:

True

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

3(x)+4
3(-2)+4

-6+4

-2

Answer:

6

Step-by-step explanation:

Solution for 7.4x+3-9=6+7.4x equation:

Simplifying

7.4x + 3 + -9 = 6 + 7.4x

Reorder the terms:

3 + -9 + 7.4x = 6 + 7.4x

Combine like terms: 3 + -9 = -6

-6 + 7.4x = 6 + 7.4x

Add '-7.4x' to each side of the equation.

-6 + 7.4x + -7.4x = 6 + 7.4x + -7.4x

Combine like terms: 7.4x + -7.4x = 0.0

-6 + 0.0 = 6 + 7.4x + -7.4x

-6 = 6 + 7.4x + -7.4x

Combine like terms: 7.4x + -7.4x = 0.0

-6 = 6 + 0.0

-6 = 6

Solving

-6 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer: The question states that Carla read 11/22 of the pocketbook yesterday and today. The phrase "of the pocketbook" is referring to the entire book, so 11/22 of the entire book has been read by Carla. This fraction represents the proportion or part of the book that has been read, and can be visualized as 11 out of 22 equal parts of the book have been read.

Final Answer = 11/22 of the pocketbook has been read by Carla.

Step-by-step explanation:

The equation y = 10/x is a nonlinear equation

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

y = 10/x

As a general rule, a linear equation can be represented using any of the following forms

y = mx + c

y = mx

y = c

x  = c

Ax + By = c

y - y1 = m(x - x1)

Any form other than the above is a nonlinear equation

The equation y = 10/x does not take any of the forms

Hence, the equation is nonlinear

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Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000

Answer:

The three properties of congruence are reflexivity, symmetry, and transitivity. These properties can be applied to segments, angles, triangles, or any other shape.

The list of types of angles from the smallest angle to the largest angle measurement is listed below:

Acute --> right angle--> Obtuse angle --> Straight angle --> Reflective angle and circle.

The types of angles that are commonly used in mathematics include the following from the least angle to the largest:

Reflective angle and circle.

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Answer:

y = -2x

Step-by-step explanation:

Slope = change in y/ change in x
Points: -3, 6 / -2 4
x, y
-3 - -2 = -1
6 - 4 = 2
2/-1 = -2

y = mx
y = -2x

Answer:

5

Step-by-step explanation:

set everything equal to a to solve for a.

a + 1 - 2 = 4

a + 1 = 6

a = 5

so your answee would be 5.

we can check this by plugging back in.

5+1-2=4

The slope of the line made by these given coordinates is 7/6.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

Given coordinates of a graph. Since the coordinates are proportional thus, these coordinates represent the graph of the line as shown in the figure below.

From the general formula of the slope of the line (m) =  [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

The slope of the line = (14-7) / (12- 6)

The slope of the line = 7/6

Equation of the line id y = 7/6x + c

Since, the line passes through the point (18, 21)

21 = 7 /6 * 18 + c

c = 0

thus, the equation of the line is 6y = 7x

therefore, the slope of the line made by these given coordinates is 7/6 and this line passes through the origin.

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Answer: An exponential decay function models a situation in which a value decreases over time at a rate that is proportional to its current value. The function has the form:

y = A*e^(-kt)

Where y is the final value, A is the initial value, e is the base of the natural logarithm (approximately 2.718), k is the decay factor, and t is the time.

In this case, the initial value is 42 and the decay factor is 0.7. So the exponential decay function that models the situation is:

y = 42 * e^(-0.7t)

To compare the average rates of change over the given intervals, we need to find the derivative of the function, which represents the instantaneous rate of change of the function at any given point in time.

The derivative of this function is:

dy/dt = -0.742e^(-0.7t)

The negative sign indicates that the value is decreasing over time. The absolute value of the derivative will be the rate of decay.

So, the average rate of change over the given intervals is -0.7*42 which is -29.4

The rate of decay is always -29.4 for this function.

Step-by-step explanation:

-3x +12 -6x +21 = 12 - 9x + 21

Here the Additive property of the Equality was demonastrated.

Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality. Algebraic equations involving real numbers can be resolved with the aid of the addition, subtraction, multiplication, and division characteristics of equality.

When the same quantity is added to both sides of an equation, the equation still holds true, according to the definition of the addition property of equality. This condition may be formally expressed as follows: for real numbers a, b, and c, if a = b, then a + c = b + c. Equations involving algebra and arithmetic can both leverage this characteristic.

-3x +12 -6x +21 = 12 - 9x + 21

Here the Additive property of the Equality was demonastrated.

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