A cylindrical dog feeder is 18 inches tall and has a diameter of 8 inches if the feeder is currently half full, how much more food can be poured into the feeder? Use 22/7 for pie and round to the nearest cubic inch.

Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

Answer: The animal hopped 60 meters in 10 seconds

6 m/s (lol)

Step-by-step explanation:

First off ok and second off bye <3

By solving a little system of equations we will see that the percentage is 66.67%

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

Elena is covering a distance of 8 miles in one minute.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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The number of boxes of sugar that Alonso can buy are 4.5 boxes.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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Net payout will you be promised in a fair betting game in case your bet works out is $0 .

Given :

browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins .

P ( browns ) = 60 / 100 = 0.60

P ( steelers ) = 40 / 100 = 0.40

Net payout = Number of wins * 10 - Number of loses * 10

= 1 * 10 - 1 * 10

= 10  - 10

= $0.

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By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.

In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).

The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.

In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.

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Answer:

D. -6 < x ≤ -3

Step-by-step explanation:

21 ≤ -3(x − 4) < 30

21/3 ≤ -3(x − 4)/3 < 30/3

7 ≤ -(x − 4) < 10

7 ≤ -x - (-4) < 10

7 ≤ -x + 4 < 10

7 - 4 ≤ -x + 4 - 4 < 10 - 4

3 ≤ -x < 6

(3 ≤ -x < 6)/(-1)

-3 >= x > -6   ==> when dividing by a negative number, switch the inequality          

                           sign

-6 < x ≤ -3 ==> D

I don't see the picture. Can you send it in the message.

Answer:

x= 222 degress

Step-by-step explanation:

By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.

Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.

Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.

Hence,

2(1 / 2 x - 5) , when x = 20

Therefore,

2(1 / 2 (20) - 5)

2(10 - 5)

2(5) = 10

Hence, the property is substitution property.  

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Answer:

Step-by-step explanation:

[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]

The solution does not exist because all numbers squared are greater than zero.

The average speed of the beetle is 1.53 feet per minute.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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Answer: g(f(-2))=-96

Step-by-step explanation:

[tex]Given: \ f(x)=e^{6x}\ \ \ \ g(x)=8ln(x)\ \ \ \ g(f(-2))=?\\\\f(-2)=e^{6*(-2)}\\\\f(-2)=e^{-12}\\\\Hence,\\\\g(f(-2))=8ln(e^{-12})\\\\g(f(-2))=8*(-12)\\\\g(f(-2))=-96[/tex]

Answer:

-96

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=e^{6x}\\ g(x)=8 \ln (x) \end{cases}[/tex]

To find g[f(-2)], substitute x = -2 into the function f(x):

[tex]\implies f(-2)=e^{6 \times -2}=e^{-12}[/tex]

Then substitute the function f(-2) in place of the x in function g(x):

[tex]\implies g[f(-2)]=8 \ln \left(e^{-12}\right)[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\begin{aligned}\implies g[f(-2)]&=-12\cdot 8 \ln \left(e\right)\\&=-96 \ln \left(e\right)\end{aligned}[/tex]

Apply the log law:  ln(e) = 1

[tex]\begin{aligned}\implies g[f(-2)]&=-96 \ln \left(e\right)\\&=-96(1)\\&=-96\end{aligned}[/tex]

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

As one calculation:

[tex]\begin{aligned}g[f(-2)]&=8 \ln \left(e^{6 \times -2}\right)\\& = 8 \ln \left(e^{-12}\right)\\& = -12 \cdot 8 \ln \left(e\right)\\& = -96(1)\\& = -96\end{aligned}[/tex]

Answer:

5832

Step-by-step explanation:

Then the orders can Cory eat the fruit is = 25

Given that,

If Cory has eat apples = 3$

If Cory has eat oranges = 2$

If Cory has eat bananas = 2$

Total eat fruits = 3 + 2 + 2

Total eat fruits = 7$

We have to express the amount of total fruits as an equation.

The amount of apples will be x,

The amount of oranges will be y,

The amount of bananas will be z

The amount of apples multiplied by 7 because they ate each day of the week.

7*(x) + y + z = now we have to replace the values ​​of x, y and z with the ones that gave us the problem

Then,

x = 3

y = 2

z = 2

So,

We can write,

7*(x) + y + z = 7 *(3) + 2 + 2

= 21 + 2 + 2

= 25

Therefore,

Then the orders can Cory eat the fruit is = 25

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The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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Answer: y=6

Step-by-step explanation:

Answer: The correct answer is c. $943.87.

Step-by-step explanation: To solve this problem, we need to first determine the length of time between October 1 and July 1 of the following year. This is a period of 9 months, or 3 quarters. We can then use this information to calculate the amount of interest earned over this time period.

The principal in Yujin Pon's account is $900, and the interest rate is 6.5% compounded quarterly. This means that for each quarter, the account will earn 6.5/4 = 1.625% in interest. Over the 3 quarters between October 1 and July 1 of the following year, the account will earn a total of 1.625% * 3 = 4.875% in interest.

To calculate the amount of interest earned, we can multiply the principal by the interest rate:

Interest = Principal * Interest Rate

= $900 * 0.04875

= $43.87

The total amount in the account on July 1 will be the original principal plus the amount of interest earned over the 3 quarters:

Total = Principal + Interest

= $900 + $43.87

= $943.87

Therefore, the correct answer is c. $943.87.