Which of the numbers listed below are solutions to the equation below?
Check all that apply.

The correct order for the exponent expression is,

A-3, B-1, C-4, and D-2.

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given functions to match,

for the functions using property,

aⁿ.aᵇ = aⁿ⁺ᵇ

A; x¹⁸.x¹⁴

x¹⁸.x¹⁴ = x¹⁸⁺¹⁴ = x³²

B: x⁸.x⁵ = x⁸⁺⁵

x⁸.x⁵ = x¹³

C: x³⁵.x⁴⁰  = x³⁵⁺⁴⁰

x³⁵.x⁴⁰  = x⁷⁵

D: x⁴⁵.x² = x⁴⁵⁺²

x⁴⁵.x² = x⁴⁷

Hence correct order is, A-3, B-1, C-4, and D-2.

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The area of the combined figure is  98.64 sq cm and the perimeter of the combined figure is 91.88 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a triangle is (1/2)×base ×height and the area of the semicircle is (1/2)πr².

Also, the perimeter of a triangle is the sum of the lengths of all the sides and the perimeter of a semicircle is πr.

From the given figure The right angle triangle is an isosceles therefore, The length of the side BC is also 12 units.

Hence the area is = (1/2)×12×12 = 72 sq cm.

And The area of the semicircle is,

(1/2)×π×(√12² + 12²) sq cm.

= (1/2)×3.14×√(288) sq cm.

= 26.64 sq cm.

Therefore, The total area is (72 + 26.64) sq cm.

= 98.64 sq cm.

And the perimeter is,

= (12 + 12 + 16.97) + (3.14×16.97) cm.

= 91.88 cm.

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Answer:

Step-by-step explanation:

If Ben has 7 hours of lessons with Off Track Biking, we can find the total cost (C) using the formula:

C = 40h + 100

where h is the number of hours of lessons. Substituting h = 7, we get:

C = 40(7) + 100

C = 280 + 100

C = 380

Therefore, Ben pays $380 in total for his 7 hours of lessons with Off Track Biking.

Answer:

i wish i knew but try just posting the pictures on the math page and boom

Answer: it should just be (x, -y)

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line that passes through the point (-1, 3) and has a slope of -3, we can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Substituting the given values, we get: y - 3 = -3(x - (-1))

Expanding the right side, we get: y - 3 = -3x + 3

Adding 3 to both sides, we get: y = -3x + 6

So the equation of the line that passes through the point (-1, 3) and has a slope of -3 is y = -3x + 6.

Hope this helps,

- Jeron :- )

Answer: y=-3x+6

Step-by-step explanation:

The equation for slope intercept form is y=mx+b, and since you are given your y and x values from the point (-1, 3), you can plug those values into it. You are also given your slope of -3, and since m is your slope value, you would plug the -3 in as your m.

After you plug in your given values from the problem, you should should get 3 = -1 (3) + b.

Then, you isolate the b. Multiply the -1 and 3 to get -3.

3 = -1 (3) + b

3 = -3 + b

Next, add the 3 to both sides of the equation, and you should be left with b=6.

3 = -3 + b

+3  +3

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

6 =  0 + b

6 = b

Finally, you re-write the slope intercept equation with the y-intercept (b value) you just found along with the slope of -3 given by the problem to get y=-3+6.

Answer:

Your answer is: 6 wpm

Step-by-step explanation:

If Tyler types twice as fast as Kyla, you multiply the amount of wpm Kyla writes by 2. 3 multiplied by 2 equals 6. Therefore, Tyler writes 6 wpm.

The fence surrounds a square yard with an area of 64 square meters. We first have to find length of fence and then multiply it by itself.

Given that it took 48 square meters of lumber to build the fence, and the fence is 1.5 meters tall, we can calculate the area of the yard inside the fence. To do this, we need to determine the total length of the fence. If we assume that the fence is built around a square yard, then the length of each side of the yard will be equal to the total length of the fence divided by 4.

Let's call the length of each side of the yard x. Then, the area of the yard inside the fence is x * x, or x^2. The total length of the fence is 4 * x. Since the fence is 1.5 meters tall, the total area of the lumber used to build the fence is 4 * x * 1.5, or 6x. This is equal to 48 square meters, so we have the equation:

6x = 48.

Solving for x,

x = 8.

Therefore, each side of the yard is 8 meters long.

Area of the yard inside the fence = 8 * 8 = 64 square meters.

This means that the fence surrounds a square yard with an area of 64 square meters.

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5 persons are to be selected to form a committee so that at least 3 men are there on the committee, in 3192 ways the committee can be formed.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged. the variety of n distinct combinations, each taken r at a time,

We may have four males and one lady or three men and two women (5 men only).

∴ Required number of ways = (⁸C₃ x ⁷C₂) + (⁸C₄ x ⁷C₁) + ⁸C₅

= [tex]\frac{8*7*6}{3*2*1} *\frac{7*6}{2*1} + \frac{8*7*6*5*4}{4*3*2} *\frac{7}{1} + \frac{8*7*6}{3*2}[/tex]

= 1176 + 1960 + 56

= 3192

Therefore, at least 3 men are there on the committee can be formed 3192 times.

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Answer:

approximately 33.2%

Step-by-step explanation:

Find Zachary's commission by subtracting his basic salary from total monthly earnings.

Commission = 4236 - 700

                     =  $ 3536

[tex]\sf rate \ of \ commission = \dfrac{commission}{total \ sales}*100[/tex]

                             [tex]\sf = \dfrac{3536}{10654}*100\\\\ = 33.19 \%\\ = 33.2 \%[/tex]

The unit of analysis that supposed to use when researcher describes the age, race, and gender distributions for people who are charged with shoplifting is called individuals.

The entity that frames what is being investigated in a study, or the entity being studied as a whole is known as the unit of analysis. At the macro level of social science study, the state is the most frequently used analytical unit that is regarded as a society. Groups, organizations, and institutions are frequent observational units at the meso level, while individuals are the unit of observation at the micro level.

The individual unit of analysis could be either a human or an animal. A group might be made up of a single person or a number of people who communicate with one another. For instance, if we are interested in examining people's shopping behaviors, their learning outcomes, or their views about new technology, then the individual is the unit of analysis that we should use.

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Answer:

(2) whole numbers

Step-by-step explanation:

Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.

This system of equations has the ordered pair (4, -6) as its only solution, as the two lines intersect only at that point.

What is the system of equations?

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

To create a system of equations that has one solution, we can write a second equation that intersects with the first equation in exactly one point.

One way to do this is to solve the first equation for y, then substitute the expression for y into a second equation. For example:

3x + y = 6

y = -3x + 6

This system of equations has one solution, as the two lines intersect at exactly one point.

To create a system of equations that has an infinite number of solutions, we can write a second equation that is identical to the first equation:=

3x + y = 6

3x + y = 6

This system of equations has an infinite number of solutions, as the two lines are coincident and overlap exactly.

To create a system of equations that has no solution, we can write a second equation that is parallel to the first equation:

3x + y = 6

3x + y = 8

This system of equations has no solution, as the two lines are parallel and do not intersect.

To create a system of equations that has (4, -6) as its only solution, we can write a second equation that passes through the point (4, -6):

3x + y = 6

y = -3x - 6 + 12

y = -3x + 6

Hence, This system of equations has the ordered pair (4, -6) as its only solution, as the two lines intersect only at that point.

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Answer:

-4050

Step-by-step explanation:

you have to do inverse operation

so divide by 10 and times by 100

you can test it out by taking 10 percent of -4050

by dividing it by 100 and times by 10.

the answer comes out as -405

Answer:

see below

Step-by-step explanation:

the figure shows that GF = FH

so 5x+26 = ∠H

because sum of all angles in a triangle =180 (memorize this)

so then you have 2*(5x+26) + 3x+37 =180

solve for x

10x + 52 +3x +37 =180

13x = 91

x=7

so 5x+26 = 35+26 = 61

3x+37 =21+37 =58

We have solution as:

z =z and y -8-z

The solution set is

x=9, y = -8-z, w = 1, z = z

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

The augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

We find that this is a rectangular matrix 3 rows and 4 columns

i.e. the variables are four but independent equations are only 3.

So only parametric equations can be found out

First row gives x = -9

Last row gives w = 1

II row gives y + z =-8 and we do not have any other equation in y or z

Hence we have solution as:

z =z and y -8-z

The solution set is

x=9, y =-8-z, w =1, z=z

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The given question is incomplete, complete question is :

Given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. Determine whether the system has a solution and find the solution(s) to the system, if they exist.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

A) x=-9, y=-8, z=-8, w=1

B) No solution.

C) x=-9, y=-8, z=1

D) x=-9, y=-8+z, w=1, z=any real number

E) z=-9, y=-8-z, w=1, z=any real number

F) None of the above.

The table represents the exponential function as f(x) = a(b)^3

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Here we have the table:

Year       number of new college programs

2005     3

2006     22

2007     27

2008     66

2009     100

Few things that are useful to identify this as an exponential equation are:

f(x) = a(b)^3

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The number of ways of obtaining exactly one Democrat is 504

We are choosing 6 committee members, and exactly 1 of them must be a Democrat, which leaves 5 members to be selected from the Republicans. The number of ways to select 5 Republicans from 9 Republicans is 9 choose 5, which is 9! / (5! * (9-5)!).

Therefore, the total number of ways to form a committee with exactly 1 Democrat and 5 Republicans is 4 * (9 choose 5) = 4 * 126 = 504. or

There are a total of 13 members (4 Democrats and 9 Republicans), so the number of combinations that can be chosen is 13C6, or 1716. Since we are looking for a committee with exactly one Democrat, we need to subtract the total number of combinations with no Democrats (9C6, or 84) from the total number of combinations, giving us 1716-84 = 504 ways of obtaining exactly one Democrat.

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Your question is incomplete but probably the full question was:

A committee of six Congressmen will be selected from a group of four Democrats and nine Republicans. What is the number of ways of obtaining exactly one Democrat?

Answer:p-by-step explanation:

15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50

Answer: Yes, but it's extremely hard to find

Step-by-step explanation:

The echo number 20222022202220222022 is the perfect square of 4496890281.

What echo number is a perfect square

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

The echo number 20222022202220222022 is the perfect square of 4496890281.

The variable x shows fish with common features.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

Given:

G(x) =  -10x² + 100x +44

Now solving the Quadratic Equation we have

D = √(100)² - 4(-10)(44)

D = √10000 + 1760

D = √11760

D= 108.44

Now, x= -b ± D/2a

x= -100 ± 108.44 /2(-10)

x= -100 ± 108.44 / (-20)

x = -100 + 108.44 / (-20)  or x= -100- 108.44 / (-20)

x= -0.422 or x= 10.422

Here x represents the fish with common features.

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Using a system of equations and assuming neither pizza nor cake has changed in price, the cost of a pizza in dollars is $10.56.

A system of equations is two or more equations solved at the same time or concurrently.

A system of equations is also called simultaneous equations.

                  Pizzas   Cakes    Total Cost

Last week      12          6             $186

Today           29        24            $554

Let the cost per pizza = x

Let the cost per cake = y

12x + 6y = 186 ... Equation 1

29x + 24y = 554 ... Equation 2

Multiply Equation 1 by 4:

48x + 24y = 744 ... Equation 3:

Subtract Equation 2 from Equation 3:

48x + 24y = 744

-

29x + 24y = 554

18x = 190

x = 10.56

= $10.56

Substitute x = $10.56 in Equation 1:

12x + 6y = 186

12(10.56) + 6y = 186

126.72 + 6y = 186

6y = 59.28

y = 9.88

= $9.88

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Meg has drive 390 miles to visit Grandma.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are Given Number of miles Kristen drive = 65 miles

Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined

This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .

Then equation we get;

Number of miles Meg drive = 2 × Number of miles Kristin drive =

Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.

Then equation we get;

Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =

Hence Meg has drive 390 miles to visit Grandma.

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Step-by-step explanation:

[tex](8 - 2x) = 3(y + 1) {}^{2} [/tex]

If we factor out -2

[tex] - 2( - 4 + x) = 3(y + 1) {}^{2} [/tex]

[tex](x - 4) = - 1.5(y + 1) {}^{2} [/tex]

Disclaimer: this is a weird question because they would usually have you isolate the quadratic(the term being squared) but this is the answer is you're form you asked about

The vertex of this parabola is (4,-1)

Answer:

$79.82 (to 2 d.p.)

Step-by-step explanation:

100%=$74.95

1%=$74.95÷100

=$0.7495

100%+6.5%=106.5%

106.5%=$0.7495×106.5

=$79.82 (to 2 d.p.)

The perimeter of the rectangle is (23.5y + 1) feet.

The perimeter of the rectangle formula:

The perimeter = the width + the length + the width + the length

The perimeter = 2 × (the width + the length)

The perimeter = 2 × ((4.25y - 7.5) + (7.5y + 8))

The perimeter = 2 × ((4.25y + 7.5y) + (- 7.5 + 8)

The perimeter = 2 × (11.75y + 0.5)

The perimeter = 23.5y + 1

So, the perimeter of the rectangle is (23.5y + 1) feet.

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The equation of circle is,

⇒ x² + y² = 100

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Here is a point (6, 8) on a circle centered (0,0) at.

Now, Distance between the point (6, 8) and (0, 0) is,

⇒ D = √(6 - 0)² + (8 - 0)²

⇒ D = √36 + 64

⇒ D = √100

⇒ D = 10

We know that;

Distance between the point (6, 8) and (0, 0) is the radius of circle.

And, The equation of circle is,

⇒ (x - a)² + (y - b)² = r²

Where, (a, b) is center of circle and r is radius of circle.

Here, Center of circle = (0, 0)

And, Radius of circle = 10

So, We get;

The equation of circle is,

⇒ (x - a)² + (y - b)² = r²

⇒ (x - 0)² + (y - 0)² = 10²

⇒ x² + y² = 100

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When multiplying fractions, multiply the numerator (top number), then the denominator (bottom number), and finally reduce to the lowest term if necessary.

Fractions are subsets of wholes. They are made up of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts, while the denominator represents the total number of available parts.

To multiply two fractions, follow these three simple steps:

Step 1: Multiply the numerators of each fraction by themselves (the numbers on top). The answer's numerator is the result.

Step 2: Add the denominators of each fraction together (the numbers on the bottom). The answer's denominator is the result.

Step 3: Simplify or reduce your response.

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After conversion, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³) because 1 milliliter (ml) is equal to 1 cubic centimeter (cm³).

The units of volume, such as milliliters (ml) and cubic centimeters (cm³), measure the amount of space occupied by a substance. A milliliter (ml) is a unit of volume that is commonly used to measure small quantities of liquids. A cubic centimeter (cm³) is a unit of volume that is used to measure the volume of solid objects or substances.

One milliliter (ml) is equal to one cubic centimeter (cm³). This means that one milliliter of a substance takes up the same amount of space as one cubic centimeter of the same substance.

So, to convert 1497 milliliters (ml) to cubic centimeters (cm³), we simply use the conversion factor of 1 ml = 1 cm³:

1497 ml = 1497 * 1 cm³ = 1497 cm³

Therefore, 1497 milliliters (ml) is equal to 1497 cubic centimeters (cm³).

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