A polygon with 3 sides is stacked to form a prism. Which is the base shape of this prism? 1. square 2. trapezoid 3. triangle 4. non-square rectangle

Answer:

hope it helps uh.......

power of a quotient

edge 2021

The law used to simplify the expression is quotient of powers.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,

3¹⁰ / 3⁴

For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.

By the definition we have the property of the power quotient of the same base set:

xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾

So, using the same,

3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶

Thus, to simplify the expression we must use the property of the power quotient of the same base.

Hence, the law used to simplify the expression is quotient of powers.

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Answer:

C & D & E

Step-by-step explanation:

The correct options are C, D, and E.

A scaled copy is an enlarged image of the previously given figure.

A scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.

As given in the problem the scale factor is anything greater than 1.

We know that when we multiply 11 by 1 or a number greater than 1 the value will be the same or changed.

Therefore, the height of the scaled copy of the triangle will be anything equal to 11 or greater than 11.

Looking at the options available,

(A) 3 1/3 units

It is less than 11, therefore, not the right option.

(B) 10.5 units

It is less than 11, therefore, not the right option.

(C) 11.1 units

It is greater than 11, therefore, can be the possible option.

(D) 18 units

It is greater than 11, therefore, can be the possible option.

(E) 35 1/2 units

It is greater than 11, therefore, can be the possible option.

Thus, the correct options are C, D, and E.

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Answer:

area = 25.12

Step-by-step explanation:

area of circle = pi(r)^2

area = 3.14 (4)^2 /2

area = 3.14 (16) / 2

area = 50.24 / 2

area = 25.12

Answer:

A = 78.9568350285

Step-by-step explanation:

A = TTr^2/2

A = TT4^2/2

A = 12.5663706^2/2

A = 157.913670057/2

A = 78.9568350285

Answer: 46

Step-by-step explanation:

Given that the coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5).

You need to find length GA, GD, RA and RD by using the formula

L = sqrt[ ( X2 - X1)^2 + ( Y2 -Y1 )^2 ]

Length GA will be

L = sqrt [ ( 8-3 )^2 + ( 4+8 )^2 ]

L = sqrt ( 5^2 + 12^2 )

L = sqrt(25 + 144)

L = sqrt (169)

L = 13.

Length GD will be

L = sqrt [ ( -5-3 )^2 + ( -2+8 )^2 ]

L = sqrt ( -8^2 + 6^2 )

L = sqrt(64 + 36)

L = sqrt (100)

L = 10.

Length RA will be

L = sqrt [ ( 10-4 )^2 + ( 0-8 )^2 ]

L = sqrt ( 6^2 + 8^2 )

L = sqrt(36 + 64)

L = sqrt (100)

L = 10.

Length RD will be

L = sqrt [ ( 10+2 )^2 + ( 0+5 )^2 ]

L = sqrt ( 12^2 + 5^2 )

L = sqrt(144 + 25)

L = sqrt (169)

L = 13.

The perimeter P will be

Substitute all the parameters into the formula below

P = GA + GD + RA + RD

P = 13 + 10 + 10 + 13

P = 46

Answer:

Option 3.

Step-by-step explanation:

It is given that Jalen and Monique will usually both run 7.5 miles each time they go running.

Let,

j = the number of times that Jalen ran.

m = the number of times that Monique ran.

So,  according to this

Distance covered by Jalen in this month = 7.5j

Total distance covered by Monique in this month = 7.5m

It is given that this month, Jalen ran an additional 32 miles.  

Total distance covered by Jalen in this month = 7.5j +32

The total distance Jalen and Monique ran this month is

[tex]Distance=7.5j+7.5m+32[/tex]

Therefore, the correct option is 3.

Answer:

3. 7.5j + 7.5m + 32

Step-by-step explanation:

Answer:

Both the angles and sides are congruent.

Step-by-step explanation:

Regular polygons are considered to be equiangular and equilateral.

This means regular polygons have angles and sides that are all congruent.

Answer:

The correct answer would be D.

Step-by-step explanation:

Answer:

[tex](\sqrt{x})^{5}(5/x)^{4}[/tex]

Step-by-step explanation:

Hi there.

Well, let's translate it from Latex. Then expanding it:

[tex]\left(\sqrt{x}+\dfrac5x\right)^{9}=[/tex]    [tex](\sqrt{x})^9(5/x)^{0} +(\sqrt{x})^{8}(5/x)^{1}+(\sqrt{x})^{7}(5/x)^{2} \\+(\sqrt{x})^{6}(5/x)^{3}+(\sqrt{x})^{5}(5/x)^{4}+(\sqrt{x})^{4}(5/x)^{5}\\+(\sqrt{x})^{3}(5/x)^{6}+(\sqrt{x})^{2}(5/x)^{7}+(\sqrt{x})^{1}(5/x)^{8}+(\sqrt{x})^{0}(5/x)^{9} =[/tex]

[tex]\frac{\left(5+x^{\frac{3}{2}}\right)^9}{x^9}[/tex]

Finding a constant term, in a Binomial has its cases.

In this case, there's no constant as a real number. Also, this an univariate binomial. So to find this Binomial expansion's constant term. We must follow this formula, (for a 9th degree) there are 10 terms:

[tex]n-2k=0\\10 -2k =0\\K=5th :\term\\[/tex]

[tex](\sqrt{x})^{5}(5/x)^{4}[/tex]

Because this result satisfy a ratio.

[tex]y=\frac{c}{x}[/tex]

Where c is the constant term, x is the first term of this binomial

Answer:

524.5 in³

Step-by-step explanation:

First, we can find the volume of the box:

V = s³

V = 9.5³

V = 857.38 in³

Then, we can find the volume of the soccer ball:

V = (4/3)[tex]\pi[/tex]r³

V = (4/3)[tex]\pi[/tex](4.3)³

V = 333.04 in³

Then, subtract the volume of the ball from the volume of the box:

857.4 - 333.0 = 524.4

So, this is closest to the answer 524.5 in³

Answer:

(-2, 0), (-1, 0), (1, 0), (2, 0)

Step-by-step explanation:

The x-intercept of function can be defined as the values of x at which the graph of the function intercepts the x-axis, or where the values of the function, y, is equals to zero.

As it is already given that the graph crosses x-axis at points (-2, 0), (-1, 0), (1, 0), and (2, 0), and as we know that the point where the graph crosses x-axis has the value of the function equal to zero, so the x-intercepts of the given function are (-2, 0), (-1, 0), (1, 0), and (2, 0)

Answer:

(–3, 0) and (1,0)

Step-by-step explanation:

on edge

Answer:

3x-x+2=4

Step-by-step explanation:

The % grade is: rise/run = 20/2640 = 0.76%

sqrt(20^2+2640^2) = sqrt(6970000) = 2640.1 feet is the length of the actual stretch of road, or 0.5 miles

Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.

The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:

m = (y2 - y1)/(x2 - x1)

m = (15 - 5)/(-6 - 4)

m= 10/-10

m = -1

Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:

y = mx + b

Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)

5 = -1(4) + b

5 = -4 + b

9 = b

The equation of the line is:

y = -x + 9 hope i helped u

Answer:

y=5x+6

Step-by-step explanation:

Please see attached

Answer:

π/100

Step-by-step explanation:

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each.  What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet?  Assume that the ball is equally likely to bounce anywhere in the infield.  When applicable, leave your answer in terms of π and include all necessary calculations."

The probability that the ball lands in the pitcher's mound is:

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

If the diameter of the mound is 18 feet then the probability that the ball will bounce on the pitcher's mound will be π/100.

When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:

E = favorable event

S = total sample space

Then:

[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]

where A(E) is the area/volume/length for event E, and similar for A(S).

The probability that the ball lands in the pitcher's mound is,

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

Hence, the probability that the ball will bounce on the pitcher's mound will be π/100.

The complete quesiton is

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each.  What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet?  Assume that the ball is equally likely to bounce anywhere in the infield.  When applicable, leave your answer in terms of π and include all necessary calculations."

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Answer:

The inverse is 4x+48

Step-by-step explanation:

y = 1/4x - 12

Exchange x and y

Solve for y

x = 1/4y -12

Add 12 to each side

x+12 = 1/4 y -12+12

x+12 = 1/4y

Multiply each side by 4

4(x+12) = 4*1/4y

4x+48 = y

The inverse is 4x+48

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x-12

y = 1/4x - 12

Switch variables.

x = 1/4y - 12

Solve for y.

x = 1/4y - 12

Add 12 on both sides.

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4/1.

4/1(x + 12) = 1/4y × 4/1

4x + 48 = y

Answer:

c = 9

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

x² + 6x + c =

= x² + 2x·3 + c

2x·3 = 2a·b => √c = 3 => c = 3² => c = 9

Answer:

x-intercept(s):  ( − 8 , 0 )

y-intercept(s):  ( 0 , 2 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0 for  x  and solve for  y.

Answer:

x = -3 and x = 1/2

Step-by-step explanation:

To find the solutions to

2x² + 5x - 3 = 0

we can use the quadratic formula, as follows:

[tex] x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)} [/tex]

[tex] x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)} [/tex]

[tex] x = \frac{-5 \pm 7}{4} [/tex]

[tex] x_1 = \frac{-5 + 7}{4} [/tex]

[tex] x_1 = 0.5 [/tex]

[tex] x_2 = \frac{-5 - 7}{4} [/tex]

[tex] x_2 = -3 [/tex]

Answer:

Step-by-step explanation:

Here the coefficients of the x terms in this quadratic are a = 15, b = 13 and c = 0.  The discriminant is b^2 - 4ac, or 13^2 - 4(15)(0) = 169 - 60, or 109.

The solutions are:

      -13 ± √109

x = -----------------

             30

Hence, the roots of the quadratic equation is

[tex]x=0,x=-\frac{13}{15}[/tex]

What is the quadratic equation?

A quadratic equation is any equation that can be rearranged in standard form as + or offer insight into other areas of mathematics.

Here given equation is [tex]15x^2+13x=0[/tex].

As the general formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\\\[/tex]

Here, [tex]a=15,b=13[/tex]

Substituting these values in general formula

[tex]x=\frac{-13+-\sqrt{(13)^2-4(15)(0)}}{2(15)}\\\\x=\frac{-13+-\sqrt{169-0}}{30}\\\\x=\frac{-13+-\sqrt{169}}{30}\\\\x=\frac{-13+-13}{30}\\\\\\x=\frac{-13-13}{30},x=\frac{-13+13}{30}\\\\x=\frac{-26}{30},x=0\\\\x=\frac{-13}{15},x=0[/tex]

Hence, the roots of the quadratic equation is

[tex]x=0,x=-\frac{13}{15}[/tex]

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Answer:

17

Step-by-step explanation:

Using Triangle Midsegment theorem, it states that if :

Q is the midpoint of MN and R is the midpoint of NP

Then, QR is parallel to MP and QR = 1/2 of MP

Mathematically

QR = 1/2MP

From the above question, we are given the following values:

QR = 3x - 4

MP = 55 - 3x

Since

QR = 1/2MP

3x - 4 = 1/2(55 - 3x)

3x - 4 = 55/2 - 3x/2

Collect like terms

3x + 3x/ 2 = 55/2 + 4

9x/ 2 = 31.5

Cross Multiply

9x = 31.5 × 2

9x = 63

x = 63/9

x = 7

Since QR = 3x - 4

x = 7

QR = 3×7 - 4

= 21 - 4

= 17

Hence, QR = 17

Answer:

A.) 5

Step-by-step explanation:

The coefficent is the number that is used to multiply a variable. The variable in this case is y, and it follows after the coefficient, in this case it is 5.

Answer:

5

Step-by-step explanation:

the co efficient of y is 5

because 5 is behind y

Answer:

Approximately 55 students

Step-by-step explanation:

13% of 420 is 54.6 which you can then round up to 55

Hope this helped!

Answer:

55 students

Step-by-step explanation:

Take the percent and multiply by the number of students

13% * 420

.13 * 420

54.6

Rounding up

55 students

Answer:

$16

Step-by-step explanation:

Let x=number of cars washed when y=allowance. We know she got $4 as a result of washing the car. She ends with $12, and we want to find the amount before washing the car.

$12 - $4 = $8

So, Coral had $8 before washing the car. Since she spent half of her allowance already playing golf, we know that $8 is only half of her total weekly allowance. Double this.

($8)2 = $16

Therefore, her weekly allowance is $16.

We can check this. She spent half playing golf, $16 / 2 = $8. She washes a car for $4. $8 + $4 = $12, which is what she ended with. So our answer is correct.

Answer:

(-3, 4).

Step-by-step explanation:

When f(x) becomes f(x + 1), all that is happening is that the y-value increases by 1.

So, (-3, 3) becomes (-3, 3 + 1). That is (-3, 4).

Hope this helps!

Answer:

(-2, 3)

Step-by-step explanation:

Find f(x + 1) by adding 1 to the x-coordinate -3 of (-3, 3):  (-2, 3)

Answer:

contaminated

Step-by-step explanation:

The word fouled is used in the "The grapes of wrath"

where in writer says that "the water fouled the ignition wire and water fouled the carburetors".

In this context fouled means that some impurity is being added to the carburetor and wire frames.

Hence the best suitable word from the option will be "contaminated".

Contamination means " the act of making anything impure "

Answer:

the answer is b= -x+11

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 2w + 2l

l = 3 + w

38 = 2w + 2(3 + w)

38 = 2w + 6 + 2w

38 - 6 = 4w

32 = 4w

w = 32 : 4

w = 8 inches

l = 3 + w

l = 3inches + 8inches

l = 11 inches