What is the volume, in cubic inches, of the baseball ?

Answer: 32767 pennies

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) = [tex]\frac{8}{2}[/tex] feet = 4 feet

The area of the circle is= 3.14 r²

                                       = 3.14 × 4² square feet

                                      = 50.24 square feet

The area of the square  is = side × side

                                          = 8×6 square feet

                                          =64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

                                                                 =13.76 square feet

Answer:

A) The ratio of hypotenuse to base for the triangles is 0.75

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?

A) .75

B) 1.00

C) 1.25

D) 2.50

Here, given that the two triangles are similar.

In triangle one:

Height = 6 units , Base = 8 units

In triangle one:

Height = 3 units , Base = 4 units

Now,as the two given triangles are similar.

⇒Their corresponding sides are PROPORTIONAL.

[tex]\implies \frac{H}{h} = \frac{B}{b} = \frac{6}{8} = \frac{3}{4} = 0.75[/tex]

So, in both the triangles, the corresponding side ratio is 0.75.

Hence, the ratio of hypotenuse to base for the triangles is 0.75

The equation of the line is [tex]y=-\frac{3}{4}x+\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line can be written using the following form

[tex]y-y_0 = m(x-x_0)[/tex]

where

m is the slope of the line

[tex](x_0,y_0)[/tex] are the coordinates of a point lying on the line

For the line in this problem, we know that:

[tex]m=-\frac{3}{4}[/tex] is the slope

[tex](x_0,y_0)=(-5,4)[/tex] are the coordinates of the point

Therefore, substituting into the equation,

[tex]y-4=-\frac{3}{4}(x-(-5))[/tex]

And re-arranging the equation we get:

[tex]y-4=-\frac{3}{4}(x+5)\\y-4=-\frac{3}{4}x-\frac{15}{4}\\y=-\frac{3}{4}x+(4-\frac{15}{4})\\y=-\frac{3}{4}x+\frac{1}{4}[/tex]

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Answer:

The inequality to determine the number of rotations is given by

 r ≤ 5.25

Therefore the maximum number of rotations possible is 5.

Step-by-step explanation:

i.) The bottom of Ignacio's desktop is  74.5 cm from the floor.

ii.) The tops of his legs are 49.3 cm from the floor.

iii.) the difference between the bottom of Ignacio's desktop and the top of his legs = 74.5  - 49.3 = 25.2 cm.

iv.) Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm.

v.) let the number of clockwise rotations be r.

vi.) therefore the inequality to determine the number of rotations is given by

  4.8r ≤ 25.2     therefore r ≤ 25.2/4.8    therefore r ≤ 5.25

Answer:

X/Y

Step-by-step explanation:

You cannot divide two variables so you just leave it as a fraction

The result of division, when, x divided by y is: x/y.

Here, we have,

given that,

What is x divided by y

i.e. now, we have to divide x by y

so, we get, x is the dividend, and y is the divisor,

so, x = numerator

and, y = denominator

we know that,

we cannot divide two variables so we just leave it as a fraction

i.e. we get,

x divided by y = x/y

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Answer:

y-intercept is 1

Step-by-step explanation:

We need to find the equation of the line first.

The gradient is found using the formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{-1-2}{8--4}[/tex]

[tex]m=-\frac{1}{4}[/tex]

So the equation is y = [tex]-\frac{1}{4}[/tex]x + c

To find c we need to substitute the value of x and y into the equation:

-1 = [tex]-\frac{8}{4}[/tex] + c

-1 = -2 + c

1 = c

And c is the y-intercept so it is 1

Answer:

y- intercept = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (8, - 1) and (x₂, y₂ ) = (- 4, 2)

m = [tex]\frac{2+1}{-4-8}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex], thus

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, - 1), then

- 1 = - 2 + c ⇒ - 1 + 2 = 1 ← y- intercept

Answer:trey wey ery day

Step-by-step explanation:

Answer:it’s 93 that’s all that matters

Step-by-step explanation:

Answer:

[tex]3x+13y=14\\\\6x+11y=-2[/tex]

Step-by-step explanation:

We have to check [tex](-4,2)[/tex] satisfies which system.

First System:

[tex]3x+13y=14\\\\6x+11y=-2\\\\Substitute\ (-4,2)\ in\ the\ equations\\\\3\times (-4)+13\times (2)=14\\\\-12+26=14\\\\14=14\\\\6\times (-4)+11\times (2)=-2\\\\-24+22=-2\\\\-2=-2\\\\(-4,2) \ satisfies\ this\ system\ of\ equation.\ Hence\ (-4,2)\ is\ the\ solution\ of\ this\ system.[/tex]

Second System:

[tex]4x+5y=12\\\\8x+3y=-4\\\\Substitute\ (-4,2)\\\\4\times (-4)+5\times (2)=-6\\\\-6\not=12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Third System:

[tex]5x+4y=12\\\\7x+8y=12\\\\Substitute\ (-4,2)\\\\5\times (-4)+4\times (2)=-12\\\\-12\not =12\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Fourth System:

[tex]10x+3y=8\\\\17x+6y=10\\\\Substitute\ (-4,2)\\\\10\times (-4)+3\times (2)=-34\\\\-34\not =8\\\\(-4,2)\ does\ not\ satisfies\ the\ system\ hence\ it\ in\ not\ a\ solution\ of\ this\ system.[/tex]

Answer:

3x+13y=14\\\\6x+11y=-2

Step-by-step explanation:

Answer:29876

Step-by-step explanation:

Entire population is 100%

Male is 100%-45%

55%x54320=29876

Answer:

29,876 males

Step-by-step explanation:

If 45% of 54320 population is female. The population of male is calculated below.

The total population is 100% and female is 45%. Thus: 100% - 45% = 55%.

Percentage of male population is 55%. Hence, 55% of 54320 is calculated thus:

[tex] \frac{55}{100} \times 54320[/tex]

[tex] = 0.55 \times 54320[/tex]

[tex] = 29876[/tex]

Therefore, population of male if total population is 54320 is 29,876.

Check,

Female population percentage + male population percentage:

45% + 55% = 100%

24,444 + 29,876 = 54,320

1) 216

2) 1

3) 450 ml

4)15 packs

5)12 sq m

Step-by-step explanation:

Step 1:

1) The series given is the cube of the first n natural numbers. Hence the nth term of the series can be obtained by n³.

Here we need the 6th term, so the cube of 6 is 216

Step 2 :

2 ) Area of the cube is given as 8000 cubic cm.

Hence side of the cube is 20 cm cube

The radius of the sphere is 20 cm as the diameter is given as 10 cm.

Hence number of spheres that can be placed in a cube of side 20 cm is 20/20 = 1

Step 3 :

3)

Total quantity of the mixture purchased from the chemist is 750 ml

Syrup and alcohol are in the ration 3:2

Hence the quantity of syrup in the mixture = 3/5 * 750 = 450 ml

Step 4 :

4)

Length and breadth of the given room is 17 m and 15 m

Hence its area is 17 * 5 = 85 sq m.

Size of the tiles is 1 sq m

So for covering 85 sq m we need 85/1 = 85 tiles

Since the tiles are bought in packs of 6 we need 85/6 packs which is approximately 15 packs of tiles.

Step 5 :

5)

Surface area of the given  box with length as l, breadth as b and width as w is

2lw+2 lh+2 wh

here we have l,b,w as 3,2,2

so surface area is 3*2*2 = 12 sq m  

Answer:

1) 216

2) 1

3) 450 ml

4)15 packs

5)12 sq m

Step-by-step explanation:

Step 1:

1) The series given is the cube of the first n natural numbers. Hence the nth term of the series can be obtained by n³.

Here we need the 6th term, so the cube of 6 is 216

Step 2 :

2 ) Area of the cube is given as 8000 cubic cm.

Hence side of the cube is 20 cm cube

The radius of the sphere is 20 cm as the diameter is given as 10 cm.

Hence number of spheres that can be placed in a cube of side 20 cm is 20/20 = 1

Step 3 :

3)

Total quantity of the mixture purchased from the chemist is 750 ml

Syrup and alcohol are in the ration 3:2

Hence the quantity of syrup in the mixture = 3/5 * 750 = 450 ml

Step 4 :

4)

Length and breadth of the given room is 17 m and 15 m

Hence its area is 17 * 5 = 85 sq m.

Size of the tiles is 1 sq m

So for covering 85 sq m we need 85/1 = 85 tiles

Since the tiles are bought in packs of 6 we need 85/6 packs which is approximately 15 packs of tiles.

Step 5 :

5)

Surface area of the given  box with length as l, breadth as b and width as w is

2lw+2 lh+2 wh

here we have l,b,w as 3,2,2

so surface area is 3*2*2 = 12 sq m  

Step-by-step explanation:

The initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]

Suppose you have the following problem:

The population of Naguanagua in 2019 is estimated to be 20,000 people with an annual rate of increase of 4%. Which equation models the population of Naguanagua in t years?

Let:

[tex]P:Population \ of \ Naguanagua \\ \\ t:Number \ of \ years \ since \ 2019 \\ \\ r:Rate \ of \ increase[/tex]

So the population of Naguanagua can be modeled by the following equation:

[tex]P=P_{0}(1+r)^t \\ \\ P_{0}=20,000 \\ \\ r=4\%=0.04 \\ \\ \\ P=20,000(1+0.04)^t \\ \\ P=20,000(1.04)^t[/tex]

So the initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]

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The probability of rolling a 6 followed by either a 3 or a 4 on a six-sided die is calculated by multiplying the probability of rolling a 6 (1/6) by the probability of then rolling either a 3 or a 4 (1/3), resulting in a combined probability of 1/18.

The question posed is about the probability of rolling a 6 followed by either a 3 or a 4 on a standard six-sided die. To find this, we first consider that the probability of rolling a specific number, such as a 6, on a six-sided die is 1/6. This is because there are 6 outcomes and only one of those outcomes is the desired number.

When rolling for the second number, which could either be a 3 or a 4, we have two desired outcomes out of the six possible outcomes on the die. Therefore, the probability of rolling either a 3 or a 4 is 2/6, which simplifies to 1/3.

To find the overall probability of rolling a 6 followed by either a 3 or a 4, we multiply the two probabilities together: (1/6) * (1/3) = 1/18. Therefore, the probability of this event occurring is 1/18.

Answer:

Step-by-step explanation:

[tex]\frac{-1+6}{0-3}\\\\\frac{5}{-3}\\ m = -1.6667[/tex]

The polygon is a heptagon whose interior measure is 900 degrees

Solution:

The formula for calculating the sum of the measures of the interior angles of a polygon is:

[tex]S = (n-2) \times 180[/tex]

Where,

S = Sum of all interior angles

n = number of sides

From the given data:

S = 900

Therefore,

[tex]900 = (n-2) \times 180\\\\Divide\ both\ sides\ by\ 180\\\\n - 2 = 5\\\\n = 5 + 2\\\\n = 7[/tex]

The number of sides is  7

Heptagon is a seven-sided polygon or 7-gon

Therefore, the polygon is a heptagon

Answer:

its d on e2020 if anyone wanted the simple answer

Step-by-step explanation:

Answer:

A. $3770

Step-by-step explanation:

The correct answer must be $3770 (not $3270), checking accounts and savings accounts are liquid assets. However, cars are not liquid assets because liquid assets are things that can be quickly turned into cash without losing much if any of their inherent value. In this case, the retirement account is not a liquid asset as it is designed to hold your money until retirement age, and given that Cesar is 35 years old so he has not reached retirement age.

Answer:

the answer is a 3770.

Step-by-step explanation:

Answer:

The answer is m = 5

Step-by-step explanation:

Let's solve the proportional equation, this way:

3/m-2 = 7/m+2

3 * (m + 2) = 7 * (m - 2) [Lowest common denominator (m + 2) * (m - 2)]

3m + 6 = 7m - 14

-4m = -14 - 6 (Like terms)

-4m = -20

m = -20/-4

m = 5

The answer is m = 5

Answer:

Ricky had 1199 hits.

Pedro had 1482 hits.

Step-by-step explanation:

State your variables

let "p" be the number of Pedro's base hits

let "r" be the number of Ricky's base hits

Create equations using information from the problem

p + r = 2681         [1]

p = r + 283          [2]

Substitute equation [2] in equation [1] replacing 'p'

p + r = 2681

r + 283 + r = 2681

Combine like terms to simplify

2r + 283 = 2681

Isolate '"r" to solve for Ricky's base hits.

2r + 283 - 283 = 2681 - 283            Subtract 283 on both sides

2r = 2398        

2r/2 = 2398/2               Divide both sides by 2

r = 1199              Number of Ricky's hits

Substitute r = 1199 into any equation to find "p". I will use [2].

p = r + 283

p = 1199 + 283         Add

p = 1482              Number of Pedro's hits

Therefore Ricky had 1199 hits and Pedro had 1482 hits.

Ricky had 1199 hits and Pedro had 1482 hits.

To solve this problem, we can set up a system of equations. Let x represent the number of hits Ricky had. Pedro had 283 more hits, so Pedro's number of hits would be x + 283.

Together, their hits add up to 2681, so we can write the equation:

x + (x + 283) = 2681

Combining like terms:

2x + 283 = 2681

Subtracting 283 from both sides:

2x = 2398

Dividing both sides by 2:

x = 1199

Ricky had 1199 hits and Pedro had x + 283 = 1199 + 283 = 1482 hits.

Answer:

[tex]28[/tex]

Step-by-step explanation:

[tex] = \frac{14}{0.5} \ \\ \\ = \frac{14 \times 10}{5} \\ \\ = 14 \times 2 \\ = 28[/tex]

Answer:

[tex]28[/tex]........

Answer:

y=3/5*x, A(0,0), B(1,3/5), C(2,6/5)

Step-by-step explanation:

A(5,3)=(x1,y1)....x1=5, y1=3

m=3/5

y-y1=m(x-x1)

y-3=3/5(x-5)

y-3=3/5*x-3/5*5

y-3=3/5*x - 3

y=3/5*x-3+3

y=3/5*x

x=0, y=3/5*x, y=3/5*0=0 A(0,0)

x=1, y=3/5*1=3/5 B(1,3/5)

x=2, y=3/5*2=6/5 C(2,6/5)

Answer:

1hr = 60min

225min/ 60min = 3.75 hr

330 pgs. * 3.75hr = 1237.5 pages

He read 1237.5 pages in 225 minutes.

Jorge can speed read 1237.5 pages in 225 minutes.

If the speed of something is given per hour. We can convert it to per minute by dividing the speed by 60. This is because 1 hour = 60 minutes.

It is given that he can speed read around 330 words per hour.

We have to convert this into per minute.

This can be done as follows:

Speed = 330 pages per hour

= 330/60 pages per minute

= 5.5 pages per minute

We can multiply the number of pages per minute with the number of minutes to find how many pages he would have completed in that time:

5.5 * 225 = 1237.5 pages

Thus, we have found that Jorge can speed read 1237.5 pages in 225 minutes.

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Answer:

15

Step-by-step explanation:

you work it out

Answer:

x=8.94 ; y = 1.58; z=2.02

Step-by-step explanation:

solve 10x+4y+12z = 120      →          5x+2y+6z = 60

         8x + 2y +32Z = 160   →           4x+y+16z = 80

To eliminate z multiply first equation by 16 and second equation by 6.

80x+32y+96z = 960

24x+6y+96z =   480

on subtractionwe get 56x+26y = 480

dividing by 2 we get, 28x + 13y = 240

Now we have a given equation 11x + 77y = 220 → x + 7y = 20

solving 28x + 13y = 240 and x + 7y = 20

28x + 13y =240

28x + 216y = 560

subtracting we get, 203y = 320

y = 1.58

x = 8.94

z = 2.02

Answer:

its increasing by 2,u can think of it as taking away the 2 in the ones place and skip counting by 2 like your in the ones place

Answer:

  4^-2

Step-by-step explanation:

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

This means ...

  (4^6)(4^-8) = 4^(6-8) = 4^-2

To simplify the expression (4^6)(4^-8), add the exponents and rewrite the expression as 4^(-2). Then, use the rule that states any number raised to the power of -1 is the reciprocal of that number to rewrite 4^-2 as 1/(4^2) which equals 1/16.

To simplify the expression (4^6)(4^-8), we can use the rule that states when you multiply two powers with the same base, you add their exponents. In this case, 4^6 multiplied by 4^-8 will be equal to 4^(6 + (-8)). Simplifying the exponent, we have 4^(-2). Since any number raised to the power of -1 is the reciprocal of that number, we can rewrite 4^-2 as 1/(4^2) which is equal to 1/16.

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Answer:

1

Step-by-step explanation:

Answer: 2.125 ft

Step-by-step explanation:

17/8=2.125

In order words each hole needs to be 2 ft and 1 and 1/2 inches apart.

Answer:

5 i think. im not good at math. sorry if wrong