A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)

Answer:

Parallel

Step-by-step explanation:

The two lines y+7x=14 and y+5=-7x are parallel to each other

The two lines y + 7x=14 and y+5=-7x are parallel to each other.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness,

thus, are on the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Given lines is y + 7x=14 and y+5=-7x.

The slope of the given line;

y + 7x=14

y =  -7x + 14

Thus, the slope m = -7.

The slope of the given line;

y+5=-7x

y = -7x - 5

Thus, the slope m = -7.

We can see that the slope are the same.

Thus, The two lines y + 7x=14 and y+5=-7x are parallel to each other.

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Answer:

332

Step-by-step explanation:

69-9=60

+23=83

x4=332

Answer:

[tex]\frac{20}{3} x=300[/tex]

Step-by-step explanation:

Given that the bag has 300 Gummy Bears and Mr.Smith eats 20 Gummy Bears every 3 minutes, then;

Lets assume x time taken to finish all Gummy Bears in the bag, then

Given in the question that

3 minutes =20 Gummy Bears

? minutes=300 gummy Bears

Perform cross-multiplication

[tex]=\frac{300*3}{20} =45minutes[/tex]

This means after 45 minutes the bag of Gummy Bears will be empty.

The equation to model the number of Gummy Bears in the bag will be;

[tex]\frac{20}{3} x=300[/tex]

Answer:

     [tex]600-\frac{20}{3}\text{x}[/tex]

Step-by-step explanation:

Given: Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes.

To Do: Write an equation to model the number of Gummy Bears in his bag.

Solution: Total Number of Gummy bears in Mr. Smith's super-sized bag =[tex]300[/tex]

  Number of Gummy bears eaten by Mr. Smith in every 3 minutes = [tex]20[/tex]

Number of Gummy bears eaten  by Mr. Smith in every in minutes= [tex]\frac{20}{3}[/tex]

Now,

The number of Gummy bears in his bag after [tex]\text{x}[/tex] minutes is

                                         =[tex]600-\frac{20}{3}\text{x}[/tex]

The equation for number of gummy bears in Mr. Smith's bag after [tex]\text{x}[/tex] minutes is                

                                              [tex]600-\frac{20}{3}\text{x}[/tex]

Answer:

[tex]\displaystyle \frac{d}{dt}[t^{\sqrt{11}}] = \sqrt{11}t^{\sqrt{11} - 1}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = t^{\sqrt{11}}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Step-by-step explanation:

2. Both a relation and function

Answer:

2.

Step-by-step explanation:

Per every pound the price is $3.42

So it does have a relation and function.

Step-by-step explanation:

Supplementary angles equal 180°

1. Let the two angles be x and y

then y = 4x + 10

x + y = 180

x + (4x + 10) = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170 / 5

x = 34

x = 34y = 146

2. if the two angles are equal then divide 180 by 2 to get 90

3. 180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45

4. 180 - x = 2x - 12

180 - 12 = 2x + x

168 = 3x

x = 56

Answer:

Step-by-step explanation:

(f o g)(7) = f(g(7))

but  g(7) = 7-4 =3

(f o g)(7) = f(g(7))  =     f(3) =  3² =9

Answer:

x = 8

Step-by-step explanation:

Simplifying

9x + -25 = 5x + 7

Reorder the terms:

-25 + 9x = 5x + 7

Reorder the terms:

-25 + 9x = 7 + 5x

Solving

-25 + 9x = 7 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

-25 + 9x + -5x = 7 + 5x + -5x

Combine like terms: 9x + -5x = 4x

-25 + 4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0

-25 + 4x = 7 + 0

-25 + 4x = 7

Add '25' to each side of the equation.

-25 + 25 + 4x = 7 + 25

Combine like terms: -25 + 25 = 0

0 + 4x = 7 + 25

4x = 7 + 25

Combine like terms: 7 + 25 = 32

4x = 32

Divide each side by '4'.

x = 8

Simplifying

x = 8

Answer: yes

Step-by-step explanation: In this problem, we are asked to determine if the relation shown here is a function. The easiest way to determine if a relation is a function is by looking at the x-coordinates. Notice that none of the coordinates repeat so this relation is a function.

Answer:

LCD = 20

Step-by-step explanation:

1/10 = 2/20

2/4 = 10/20

The least common denominator (LCD) of fractions 1/10 and 2/4 (which simplifies to 1/2) is 10. We obtain this by finding the smallest multiple of the largest denominator, 10, that the other denominator (2) can divide.

Looking to find the least common denominator of the fractions 1/10 and 2/4, we first need to simplify the fractions to their lowest terms. The fraction 2/4 can be simplified to 1/2. So now we are finding the least common denominator of 1/10 and 1/2.

Define the least common denominator (LCD): It's the smallest multiple that is exactly divisible by every denominator of the set of fractions.

Start from the largest denominator, which is 10 in this case, and list its multiples: 10, 20, 30, etc. Select the smallest multiple that the other denominator(s) (i.e. 2) can divide. You notice that 2 can divide 10, so the least common denominator of these fractions is 10.

So, the answer is that the least common denominator of the fractions 1/10 and 2/4 (or 1/10 and 1/2 in simplest form) is 10. This step-by-step explanation should provide you with an understanding of how to find the least common denominator of two fractions.

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Answer:

Given: The total cost of renting a car is determined by the number of days a car is rented, at $75 per day, and the number of miles it is driven, at $0.50 per mile. The company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.

To check: We need to check what does the variable x represent.

Here, the company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.

Here 75 represents the rent per day, and 0.50 represents the cost per mile.

As, x is multiplied by 75. So, the variable x represents the number of day one has taken the car.

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* Lets explain the meaning of the vertical angles

- Vertical angles are the angles opposite to each other when two lines

  are intersected

- The vertical angle are equal in measures

- Look to attached figure which represents the lines

∵ Line TW intersects line SV at R

∴ ∠ WRV and ∠ SRT are vertical angle

∴ ∠ WRS and ∠ VRT are vertical angle

∵ RU is between the rays of angle VRW

∴ RU intersects the lines TW and SV at R

∴ No vertical angles between RU and the other two lines because

  it intersects them its endpoint R

* Now lets look to the answer to chose the right one

- ∠ WRU and ∠ SRT are not vertical angles

- ∠ WRS and ∠ VRT are vertical angles

- ∠ VRU and ∠ TRS are not vertical angles

- ∠ VRT and ∠ SRT are not vertical angles

The pair of angles that are vertical angles is: ∠WRS and ∠VRT.

When two straight lines intersect each other at a point, the opposite angles that are vertical to each other are called vertical angles.

∠WRS and ∠VRT are vertically opposite each other.

Therefore, the pair of angles that are vertical angles is: ∠WRS and ∠VRT.

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7(x + 3 ) = 6 - (-7x - 15)

Apply the distributive rule to remove parentheses.

7x + 21 = 6 + 7x + 15

Right away, you should be able to see that 7x will be cancelled rendering this equation to have no solution.

Answer: NO SOLUTION

Area of a triangle is 1/2 x base x height.

You are given the area and the height, solve for the base:

600 = 1/2 x base x 20

Multiply both sides by 2:

1200 = base x 20

Divide both sides by 20:

Base = 1200/20

Base = 60 feet.

Answer: 60

A= 1/2BH

600=1/2b*20

20 / 2= 10

600/10=60

Answer:

The distance she walks is 5 km

Step-by-step explanation:

Let

x -----> the distance in kilometers

y ----> the time in hours

we know that the speed is equal to divide the distance by the time

Average speed of 5 km/h

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

[tex]y=\frac{x}{5}[/tex] -----> equation A

Average speed of 6 km/h

convert 10 minutes to hours

[tex]10\ min=10/60=1/6\ h[/tex]

[tex]6=\frac{x}{y-\frac{1}{6}}[/tex] ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

The solution is the point (5,1)

see the attached figure

therefore

The distance she walks is 5 km

Verify

Average speed of 5 km/h

[tex]y=\frac{5}{5}=1\ h=(1)*60=60\ min[/tex]

Average speed of 6 km/h

[tex]y=\frac{5}{6}\ h=\frac{5}{6}*60=50\ min[/tex]

The difference is the time she will save

[tex]60\ min-50\ min=10\ min[/tex] ----> is correct

To find the distance Ms. Handler walks, we can set up a proportion and solve for the variable d. The distance is found to be 5 kilometers.

To solve this problem, we can set up a proportion between the distance Ms. Handler walks and the time it takes her at each speed.

Let's say the distance she walks is d kilometers. At a speed of 5 km/h, the time it takes her to walk the distance is d/5 hours. At a speed of 6 km/h, the time it takes her is d/6 hours.

We can then set up the following proportion:

d/5 = d/6 + 10/60

To simplify the equation, we can multiply both sides by 30 to get rid of the denominators:

6d = 5d + 5

Simplifying further, we get:

d = 5

Therefore, the distance Ms. Handler walks is 5 kilometers.

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Answer:

y≤9/8

Step-by-step explanation:

-9≤-8y

1) Divide both sides by -8 (You must flip the sign when dividing by a negative)

y≤9/8

Answer:

14b^5

Step-by-step explanation:

4b^ 5 +10b^5   (factor out common factor b^5)

= (4+10) b^5

= 14b^5

Answer:

0,0

1,5

2,10

3,15

4,20

5,25

Step-by-step explanation:

x=cups of flour

y=batches of cookies

Get photomath it can help with problems like that :)

Answer:

3/4

Step-by-step explanation:

because if he has 3 lemons and 1 lime add 3 + 1= 4 and there is 3 lemons it will be 3/4

Answer:

15

Step-by-step explanation:

Answer: He is 0 cm with respect to the surface of the water.

Step-by-step explanation:

Since we have given that

Length of plastic toy submarine below the water surface = 15 cm

Length of plastic toy submarine above the water surface = 15 cm

For below the surface, we would use negative sign i.e. (-) 15 cm

for above the surface, we would use positive sign i.e. (+) 15 cm

So, now he is

[tex]-15+15=0\ cm[/tex]

Hence, he is 0 cm with respect to the surface of the water.

If a plastic toy submarine is held 15 centimeters below the water surface in a bath tub. The integer that represents the toy submarine's position with respect to the surface of the water is 0.

The toy submarine rose 15 centimetres after initially being 15 centimetres below the water's surface. So, the whole shift in position is upward, or 15 centimetres.

The submarine's net position change is 0 centimetres because it began 15 centimetres below the surface and then rose 15 centimetres (returning to the surface level).

Therefore the integer that represents the toy submarine's position with respect to the surface of the water is 0.

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Answer is  24 divided by 2/3

Answer:

24 ÷ 2/3

Step-by-step explanation:

Answer: First option.

Step-by-step explanation:

For this exercise it is importnatn to to remember the properties that are shown below:

1) [tex]a^\frac{1}{n}=\sqrt[n]{a}[/tex]

2) [tex](a^m)^n=a^{(mn)}[/tex]

Therefore, given the following expression provided in the exercise:

[tex]\sqrt[3]{4^5}[/tex]

You can apply the properties mentioned before, in order to find an equivalent expression.

Therefore, you get:

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5*1}{3}}=4^{\frac{5}{3}}[/tex]

Then the answer is the first option.

Answer:

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]

Option 1 and Option 3 is correct

Step-by-step explanation:

Given: [tex] 4^{\frac{5}{3}}=\sqrt[3]{4^5}[/tex]

This is exponent to radical change property.

The fraction exponent write as radical.

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]

True

[tex]4^{\frac{8}{3}}\cdot 4^{\frac{7}{3}}=4^{{\frac{8}{3}+\frac{7}{3}}=4^5[/tex]

False

Answer:

The expression of that is y/8

Step-by-step explanation:

Quotient always refers to division, so we know we are dividing.

This is the expression:

y÷8

The number 0.00052 in standard form can be written as 5.2 × 10⁻⁴ in scientific notation.

Given that:

The number 0.00052 is given in the standard form.

This has to be converted into the scientific notation.

Scientific notation is the notation of writing smaller numbers or larger numbers as the product of an integer from 1 to 10 and the power of 10 is raised to positive or negative power.

Here, the number is very small.

So, the power of 10 is negative.

Here, the integer is 5.2.

The decimal point has to be shifted 4 places to the left.

So, the power of 10 is -4.

Hence, the number can be written as 5.2 × 10⁻⁴.

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Step-by-step explanation:

Don't let the variables scare you. they are just an unknown value, that we can call anything we want. So, we can say y=6-0.6x. If you want an easier equation, just use communitive property to change it to

[tex] y = - \frac{3}{5} x + 6[/tex]