Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will it be before he overtakes Jim?

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:

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:

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:

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:

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:

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:

$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: 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:

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

The chord of a circle is, LG

We have to given that,

A circle with center C is shown in figure.

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

And, The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

Hence, By given figure,

Chord of a circle is,

⇒ Line segment LG

Thus, Option 2 is true.

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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:

reflected over the x-axis, compressed horizontally by a factor of 1/2.

Step-by-step explanation:

y(x) and f(x) means the same.

y = -(2x) means that y(x) was multiplied by -1, and x was replaced by 2x

Answer:

Step-by-step explanation:

x=✓25*9

x=✓5^2*3^2

x=5*3

x=15

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:

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:Step-by-step explanation:

Convenience sampling

Explanation:

It is convenient data for the tv people and has a non zero chance of being selected

Answer: Convenience Sampling

Step-by-step explanation:

The answer is Convenience Sampling (CS) because CS is a sampling technique where the people that vote are easy to reach. And there is no bias since you can't choose the first 50 people are.

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:

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:

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=36

Step-by-step explanation:

x×4/9=16

x=16×9/4=36

Answer:

The correct answer would be D.

Step-by-step explanation:

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:

(-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:

Permuation; 210 possibilites

Step-by-step explanation:

With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).

This would be written as 15p2

To find the number of possibilities we want to use the permuation equation.

(,)=!(−)!

P=permutation

n= the set or population (15 soccer players)

r= subset (1 captain and 1 co-captain, total of 2)

(,)=(15,2)

=15!(15−2)!

= 210

If u are confused about !(factorial) in the equation here is a quick explanation

Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this

1! = 1

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

etc

Hope this helps!!

The number of possibilities in choosing captain and co-captain are 210 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, a team of 15 soccer players needs to choose a captain and a co-captain.

Number of captains can be choose from 15 players.

Number of co-captains can be choose from 15-1=14 players.

So, the number of possibilities= 15×14

= 210 ways

Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.

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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:

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:

the answer is b= -x+11

Answer:b

Step-by-step explanation:

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:

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