Kent is riding his bicycle. The graph shows the relationship between time in hours and the miles Kent rides.  Write an inequality to show the number of hours when Kent has ridden more than 30 miles. Explain your answer. 



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Answer:

minimum value = 10

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 19

     = (x - 3)² + 10 ← in vertex form

with (h, k) = (3, 10 )

To determine maximum or minimum consider the value of a

• If a > 0 then minimum value of k

• If a < 0 then maximum value of k

Here a = 1 > 0, hence minimum value of k = 10

Answer:

Step-by-step explanation:

8x - 9 - 12x + 5 = 8x - 12x - 9 +5

                         = -4x - 4

Add the like terms

Answer:

+

Step-by-step explanation:

938 + 347 = 1285

2007 - 1285 = 722

CHECK:

938 + 347 + 722 = 2007

In this addition problem, the names of each term are 938, 347, and 722. The sum of the terms is 2007.

In this addition problem, we need to fill in the blanks with the names of each term. Let's break down the given equation:

938 + 347 + 722 = 2007

The terms in this addition problem are:

So, the names of each term are as follows:

First term: 938

Second term: 347

Third term: 722

Sum of the terms: 2007

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Answer:

9

Step-by-step explanation:

25-7=18

18/2=9

The result of Half of the difference of 25 and 7 would be; 9

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We need to determine the Half of the difference of 25 and 7

The difference between them;

25-7=18

Now the half of the result is;

18/2=9

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Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

The complete question is

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter

[tex]V=\pi x^{3}\ units^3[/tex]

substitute the given values  in the formula of volume

[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]

solve for h

simplify

[tex]x=(\frac{1}{4})h[/tex]

[tex]h=4x\ units[/tex]

Verify each statement

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

[tex]A=\pi r^{2}[/tex]

[tex]r=\frac{x}{2}\ units[/tex]

substitute

[tex]A=\pi (\frac{x}{2})^{2}[/tex]

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

Answer:

A)

Step-by-step explanation:

The statement that is the cost of paying for college, which statement is NOT true is option D) Scholarships can be based on an affiliation to an organization.

Scholarships can indeed be awarded based on academic achievements, such as high grades, standardized test scores, or class rankings. Additionally, scholarships can also be available for students with exceptional athletic abilities, rewarding their talents in sports or other physical activities.

D) Scholarships can be based on an affiliation to an organization:

This statement is NOT true. Scholarships can indeed be tied to affiliations with specific organizations, associations, or companies. For example, there might be scholarships offered exclusively to the children of employees of a particular company or members of certain professional organizations. These types of scholarships are often referred to as "affiliation scholarships."

Hence the correct option is (d).

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Answer:1/8

Step-by-step explanation:

To find the unit rate: multiply the numerator by the reciprocal of the denominator.

unit rate =  

1

4

2

3

=  

1

4

×  

3

2

=  

3

8

pounds per gallon

Therefore,  

1

3

the recipe:  

3

8

×  

1

3

=  

1

8

pounds of chocolate

Answer:

y=(x+9/2)squared-53/4

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

order of operations

Answer:

C

Step-by-step explanation:

if you expand, C is the only option that is equivalent

Answer:

C.  (n^15k^35)^2.

Step-by-step explanation:

(n^6k^14)^5

= (n^6)^5 * k^14)^5

= n^30k^70

= (n^15k^35)^2.

Answer:

yes A is a SUBSET of U and U is a SUPERSET of A.

Explanation: use curly braces for the elements.

A is a subset of U since U has the elements {1,2,3,4,5,6,7,8,9}, and A has the elements {1,2,3}

U contains the elements listed in set A, so a is a SUBSET of U

Answer:

Below

Step-by-step explanation:

A is a subset of U because 1,2,3 is in set U.

U is a superset of A as U contains 1,2,3 and other elements.

Answer:

2.7 x 5.2 = 14.04

Step-by-step explanation:

You must fill it out accurately so your employer knows how much tax to withhold from your paycheck. The amount withheld  is based on your filing status, number of dependents, anticipated tax credits and deductions. If you do not fill it out correctly, you could possibly end up owing taxes when you file your tax return.

Accurately completing a W-4 form when starting a new job or changing tax status is important to ensure the correct amount of federal income tax is withheld from your paycheck.

When starting a new job or changing tax status, it is important to accurately complete a W-4 form. This form determines the amount of federal income tax that is withheld from your paycheck. By accurately completing the form, you can ensure that the correct amount of tax is being withheld and avoid underpaying or overpaying your taxes.

Completing the W-4 form involves providing information about your filing status, number of allowances, and any additional amount you want to withhold. The number of allowances you claim on the form affects the amount of tax that is withheld. For example, claiming more allowances means less tax will be withheld from your paycheck, resulting in more take-home pay.

Accurately completing the W-4 form is important because it helps you avoid owing a large amount of tax when you file your tax return and potentially facing penalties for underpayment. It also helps you avoid overpaying and potentially receiving a large tax refund. By reviewing and updating your W-4 form when starting a new job or experiencing a change in tax status, you can ensure that the correct amount of tax is being withheld from your paycheck.

Answer:

Step-by-step explanation:

Answer:

3854

Step-by-step explanation:

Answer:

17.1 kgs

Step-by-step explanation:

There are 52.6 kgs of Rice. 26.3 + 26.3 = 52.6

Take 52.6 and minus 35.5 out of it 52.6 – 35.5 = 17.1

there were 17.1 kgs of rice sold

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6[/tex]

Answer:

12z -32

Step-by-step explanation:

-4(z+3)-4(5-4z)

Distribute

-4z -12 -20 +16z

Combine like terms

12z -32

Answer:

Take one reindeer out of the running for pulling the sleigh

Step-by-step explanation:

Step-by-step explanation:

base=5m

height=12

Pythagoras formula A2+b²=c2

so 12²+5²

144+25=169

so

√169=13m

Answer: 3 wires of 13 m =39m

Base side = 5m

Vertical side = 12m

Hypotenuse = length of one wire.

5^2 + 12^2 = Hypotenuse^2

Hypotenuse = 13m

3 wires of 13m length = 39m

Let S be Sydney's age.

Macy = S + Liyo, Alle = (1/2)S - 1.

Given, S + (S + Liyo) + ((1/2)S - 1) = 31.

Substituting Liyo = S and solving gives Sydney = 10, Macy = 15.

So, Macy is 15 years old.

To solve this problem, let's assign variables to represent each sister's age. Let S be Sydney's age. Given that Macy is Liyo years older than Sydney, Macy's age would be S + Liyo. Since Allie is one year less than half the age of Sydney, Allie's age can be represented as (1/2)S - 1.

The sum of their ages is given as 31, so we can set up the equation: S + (S + Liyo) + ((1/2)S - 1) = 31. Substituting Liyo with S, we can solve for Sydney's age (S). Once we find Sydney's age, we can then find Macy's age by adding Liyo to Sydney's age.

By solving the equation, we find that Sydney is 10 years old. Thus, Macy is 15 years old (10 + Liyo). Therefore, Macy is 15 years old.

Complete Question:

Macy, Sydney, and Alle are sisters. Macy is liyo years older than Sydney and Allie is one war less than half the age of Sydney. If the sum of their ages is 31, how old is Magy?

Answer:

No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)

Step-by-step explanation:

The circle centered at the origin that contains the point (0,-4) has equation:

[tex] {x}^{2} + {y}^{2} = 16[/tex]

If the point (273,2) lies on this circle , then it must satisfy this equation:

[tex] {273}^{2} + {2}^{2} = 74533[/tex]

Since

[tex]16 \ne74533[/tex]

The point does not lie on this circle.

Answer:

-2x=3y    (we have 9 more) = 9

-4 = 5  x=-4 =9  as -4+5=1

-2x=3y = 1

= +-4 + 4 = 8 + 1 = 9

y=5  

As -2x=3y = 1

= +-4 + 4 = 8 +1 = 9

+ 5 +5 +5 = 15

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

The area is 28.

Step-by-step explanation:

A=(a+b/2)h

Plug in the numbers to get (8+6/ 2) 4 to get 28

Answer:

5. V

6. S

7. V

8. S

9. C

Step-by-step explanation:

Vertical angles: Angles facing each other vertically.

Supplementary angles: Angles that add up to 180 degrees, making a straight line.

Complementary angles: Angles that add up to 90 degrees, making a right angle.

Maya travels  [tex]4.19 feet/sec[/tex] faster than Kelly !

Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]

Step-by-step explanation:

Here we have , The Carousel in the National Mall has 4 rings of horses. Kelly is riding on the inner ring, which has a radius of 9 feet. Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. We need to find In one rotation of the carousel, how much farther does Maya travel than Kelly . Let's find out:

Kelly is riding on the inner ring, which has a radius of 9 feet

Total distance traveled by Kelly is circumference of circle with radius 9 feet i.e.

⇒ [tex]Distance = 2\pi r[/tex]

⇒ [tex]Distance = 2(3.14) 9[/tex]

⇒ [tex]Distance = 56.52feet[/tex]

Maya is riding on the outer ring, which is 8 feet farther out from the center than the inner ring .

Total distance traveled by Maya is circumference of circle with radius (8+9=17) feet i.e.

⇒ [tex]Distance = 2\pi r[/tex]

⇒ [tex]Distance = 2(3.14) 17[/tex]

⇒ [tex]Distance = 106.76feet[/tex]

Therefore , Difference in distance is : [tex]106.76-56.52 = 50.24 feet[/tex]

Now , Speed of both is give by

⇒ [tex]Speed_k_e_l_l_y=\frac{56.52}{12} = 4.71 feet/sec[/tex]   And ,

⇒ [tex]Speed_M_a_y_a=\frac{106.76}{12} = 8.90 feet/sec[/tex]

Faster Maya travels = 8.90-4.71 = 4.19

So , Maya travels  [tex]4.19 feet/sec[/tex] faster than Kelly !

Divide the area by the width:

271.25 / 15.5 = 17.5

The room is 17.5 feet long

Answer:

255.75

Step-by-step explanation:

i subtracted the numbers, i might be wrong

Solution:

The slope of a line is given by formula:

[tex]Slope = \frac{ y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex]slope = \frac{11}4}\\\\(x_1, y_1) = (x, -7)\\\\(x_2, y_2) = (-1, 4)[/tex]

Substituting the values we get,

[tex]\frac{11}{4} = \frac{4+7}{-1-x}\\\\-11 - 11x = 11 \times 4\\\\-11-11x = 44\\\\11x = -11-44\\\\11x = 55\\\\x = 5[/tex]

Thus the value of x is 5