The spoke of wheel reaches from the center of the wheel to its rim if the circumstance of the wheel is 48 inches, how long is each spoke? Use 3.14 for and round your answer to the nearest hundredth.

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

f(x + n) - move the graph n units to the left

f(x - n) - move the graph n units to the right

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[tex]f(x)=-\dfrac{1}{5}x^2\\\\f(x+5)=-\dfrac{1}{5}(x+5)^2\\\\f(x+5)+2=-\dfrac{1}{5}(x+5)^2+2[/tex]

The equation y = -1/5 (x + 5)^2 + 2 is translated from the standard position by moving up and to the left.

In the equation y = -1/5 (x + 5)^2 + 2, the transformation of the graph from its standard position is determined by the constants within the equation. The -5 inside the parentheses causes a shift to the left by 5 units and +2 outside the parentheses represents an upward shift by 2 units. Therefore, the graph of the equation is moved up and to the left from its standard position where the vertex is at the origin.

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Answer:

The correct answer is D

Step-by-step explanation:

Please see the attachment

Answer:d

Step-by-step explanation:

Answer:

JP = MI

Step-by-step explanation:

JP = TI (right)

Angle B = Angle I (right)

Angle BJP = Angle IMT (right: Angle J = Angle M)

JP = MI (wrong: JP = IT)

I hope I helped you.

Answer:

JP = MI

Step-by-step explanation:

To find equivalent fractions for 1/12 and 3/8 using the least common denominator, multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a common denominator of 24.

To find an equivalent fraction for 1/12 and 3/8 using the least common denominator, we need to determine the smallest multiple that both denominators (12 and 8) have in common. The least common multiple of 12 and 8 is 24.

To convert 1/12 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 2:

1/12 = (1 * 2) / (12 * 2) = 2/24.

To convert 3/8 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 3:

3/8 = (3 * 3) / (8 * 3) = 9/24.

Final answer:

The equivalent fractions with the least common denominator of 24 for 1/12 and 3/8 are 2/24 and 9/24, respectively.

Explanation:

To find an equivalent fraction for each fraction with the least common denominator (LCD), you first need to determine the LCD for 1/12 and 3/8. In this case, the LCD for 12 and 8 is 24. Then, you adjust each fraction to have the denominator of 24.

For 1/12: Multiply both the numerator and the denominator by 2 to get 2/24.

For 3/8: Multiply both the numerator and the denominator by 3 to get 9/24.

Therefore, the equivalent fractions with a common denominator of 24 are 2/24 and 9/24.

To understand equivalency in general, when you multiply the numerator and the denominator of a fraction by the same number, you are creating a fraction that represents the same value as the original.

Answer:

10mph

Step-by-step explanation:

it's a ratio

6.2 miles divided by .62=10

Answer:

522

Step-by-step explanation:

We are given that the price of the motorcycle is 3238 and if we borrow it then the payment per month will be 165 for 24 months.

So the total amount that we are going to pay if we borrow the motorcycle will be 165 × 24  = 3960

While the actual price of the bike is 3438.

Difference in the payment and actual price = 3960 - 3438 = 522

Therefore, you can save 522 by paying cash.

By definition, BF = 1/2 * CE;

So, BF = 1/2 * 90 = 45.

BF = 45

(Midsegment Length Theorem)

Answer:

BF=45

Step-by-step explanation:

Here the given point B and point [tex]F[/tex] are the midpoint of the sides AC and AE respectively in triangle ACE .

According to converse of Thales theorem -if a line divides any two sides of a triangle in equal parts then that line will be parallel to the third side of the triangle.

Also ,

In the above said condition, that line will be half of the third side

On applying this concept in the given triangle ACE

[tex]BF= \frac{1}{2} *CE\\BF=\frac{1}{2} *90\\BF=45[/tex]

Hence BF=45

Answer:

if m1= 60° than m2 must= A. 30° Since perpendicular lines form a right

Answer:

The answer is 55

Step-by-step explanation:

6 + 11 + 8 + 14 + 16 = 55

Answer:

(a) [tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]

(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);

Step-by-step explanation:

Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.

1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.

2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.

3. In 5 pounds of the 40% almond-60% peanut mixture there are [tex]0.6\cdot 5=3[/tex] pounds of peanut and [tex]0.4\cdot 5=2[/tex] pounds of almonds.

(a) Then you get a system of two equations:

[tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]

(b) Solve this system. From the first equation

[tex]m=\dfrac{2}{0.8}=2.5\ pounds,[/tex]

then

[tex]p+0.2\cdot 2.5=3,\\ \\p=3-0.5,\\ \\p=2.5\ pounds.[/tex]

Answer:

B

Step-by-step explanation:

distribute parenthesis on both sides of the equation

- 24x - 12 = - 12x - 120 ( add 12x to both sides )

- 12x - 12 = - 120 ( add 12 to both sides )

- 12x = - 108 ( divide both sides by - 12 )

x = 9 → B

Answer:

905.26

Step-by-step explanation:

905.255

We are rounding to the hundredths place, so we need to look at the thousandths place.  That digit is also a 5. 5>= 5 so we need to round the 5 in the hundredths place up to a 6

905.255 rounds to 905.26

Answer:

905.26 is your answer

Step-by-step explanation:

The 5 you are solving for will be underlined and bolded.

905.255

Note the place value to the right of the value you are solving for. It is a 5. Because it is a 5, round up.

905.255 rounded to the nearest hundredth is 905.26

905.26 is your answer

~

Answer:

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]

Length of OF is 2 unit and length of OF' is 8 units.

[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]

Rule of dilation with scale factor k and origin as center of dilation is defined as

[tex](x,y)\rightarrow (kx,ky)[/tex]

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

Answer:

Dilation by a scale factor of 4 followed by reflection about the y-axis

Step-by-step explanation:

Hope this helps

Answer:

11.7 Gallons

Step-by-step explanation:

First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank

Answer:

11.7

Step-by-step explanation:

To solve this problem, we need to find what is 65 percent of 18.

To do this, we can simply multiply 18 by .65. Don't forget the decimal!

The answer is 11.7

Hope this helps! (Brainliest Please!)

The answer is:  " 7:45 a.m. "  .

__________________________________________

Step-by-step explanation:

__________________________________________

Start at:

____________________

6:00 a.m.

____________________

Add 1  1/4 hours ; which is

1 + (1/4) hours:

Note:  " 1 hr = 60 min." .

_____________________

So:

 (1/4 hr) *  ([tex]\frac{60 min }{ 1 h}[/tex]) ;

                                       =  (1/4) * 60 min;

                                       = (60/4) min.

                                       = 15 min.

______________________

So:  1  1/4 hr =  1 hr. 15 min.;

______________________

So:  Start at:  6:00 a.m .

Add  " 1  1/4 hrs."  ;  i.e. add 1 hr 15 min.

_______________________

6:00 a.m + 1 hr = 7:00 a.m.  ;

 7:00 a.m.  +  15 min. =  7: 15 a.m. ;

_______________________

Now, we are at:

_______________________

7:15 a.m.  ;

Now add:  "1/2 hour" to "7:15 a.m." to this time.

Note:  " 1 hr = 60 min.

So;

"1/2 hr = (1/2) * (60 min) = (60 / 2) min. = 30 min.

________________________

So: we have 7:15 a.m. ;

we add "30 min." to this time.

and we have:  7:45 a.m.

___________________________________________________

The answer is:  " 7:45 a.m. "  .

__________________________________________________

Answer:

it's 8:15

Step-by-step explanation:

start at 6:00+1:15 (aka 1 1/4 an hour) =7:45+30 min=8:15

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We plug in [tex]i[/tex] into [tex]f(x)[/tex] to get:

[tex]f(i)=1-i[/tex]

Here, [tex]i[/tex] is the imaginary number [tex]i=\sqrt{-1}[/tex]

To get absolute value of an imaginary number, we use the following formula:

[tex]a+bi=\sqrt{a^2+b^2}[/tex]

So absolute value of [tex]f(i)[/tex] is:

[tex]|f(i)|=\sqrt{(1)^2+(1)^2} \\=\sqrt{1+1} \\=\sqrt{2}[/tex]

Answer:

The equation of the line is y=-x

Step-by-step explanation:

To find the equation for a line, we need to know 2 points.

One of the points is (0,0) because it goes through the origin.  Another point is (5,-5).  We can calculate the slope because we have 2 points using the formula.

m = (y2-y1)/(m2-m1)

m = (-5-0)/(5-0)

m = -5/5

m=-1

The slope is -1

We know the y intercept (where it crosses the y axis) is 0.  Using the slope intercept form of a line

y = mx+b

y =-1x+ 0

y = -x

The equation of the line is y=-x

a. The percentage of students who prefer strawberries is 33.33%.

b. The percentage of students who prefer the least favorite fruit is 8.33%.

c. The percentage of students who prefer apples or pears is 45.83%.

A) To find the percentage of students who prefer strawberries:

Add up the total number of students surveyed: 30 (apples) + 15 (oranges) + 40 (strawberries) + 25 (pears) + 10 (peaches) = 120 students.

Determine the number of students who prefer strawberries: 40.

Calculate the percentage: (Number of students who prefer strawberries / Total number of students surveyed) * 100 = (40 / 120) * 100 = 33.33%.

B) To find the percentage of students who prefer the least favorite fruit:

Identify the least favorite fruit, which is peaches with 10 preferences.

Calculate the percentage: (Number of students who prefer peaches / Total number of students surveyed) * 100 = (10 / 120) * 100 = 8.33%.

C) To find the percentage of students who prefer apples or pears:

Add up the number of students who prefer apples and pears: 30 (apples) + 25 (pears) = 55.

Calculate the percentage: (Number of students who prefer apples or pears / Total number of students surveyed) * 100 = (55 / 120) * 100 = 45.83%.

So, the answers are:

A) 33.33%

B) 8.33%

C) 45.83%

The detailed answer provides percentages for students preferring specific fruits from a survey.

A) What percent of students surveyed prefer strawberries?

B) What percent of students surveyed prefer the least favorite fruit?

C) What percent of students surveyed prefered apples or pears?

Answer:

First man rate is 115

Second man rate is 50

Step-by-step explanation:

Let's assume rate of charge of first men is x

rate of charge of second  men is y

we are given

the sum of the two rates was 165. per hour

so, we get

[tex]x+y=165[/tex]

Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050

so, we get

[tex]20x+15y=3050[/tex]

we can simplify it

[tex]5(4x+3y)=3050[/tex]

[tex](4x+3y)=610[/tex]

so, we got system of equations as

[tex]x+y=165[/tex]

[tex]4x+3y=610[/tex]

We can solve for y from first equation and plug into second equation

[tex]y=165-x[/tex]

[tex]4x+3(165-x)=610[/tex]

[tex]x+495=610[/tex]

[tex]x=115[/tex]

now, we can solve for y

[tex]y=165-115[/tex]

[tex]y=50[/tex]

Answer:

30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction; 

37.5/100

Now we just take the numerator of the number to get the percent, which is the solution. 

37.5%

Answer:

15%

17 kids are part of club A and B

Answer: Choice A) 9/45 and 8/40

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

If you divide both top and bottom of 9/45 by the GCF 9, you get 1/5

If you divide top and bottom of 8/40 by the GCF 8, you also get 1/5

So the original fractions must be the same

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

Another way to check is to use a calculator and see that 9/45 = 0.2 and 8/40 = 0.2, so 9/45 = 8/40

Or you can subtract the fractions and you should end up with 0, so, 9/45 - 8/40 = 0

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

You can also set up a proportion and cross multiply

9/45 = 8/40

9*40 = 45*8

360 = 360

The last equation is true, so the first equation must be true

Answer:

36/25

Step-by-step explanation:

[tex](\frac{5}{6})^{-2}=(\frac{6}{5})^{2}\\(\frac{6}{5})^2=\frac{6}{5}\times\frac{6}{5}\\=\frac{36}{25}[/tex]

Steps:

Flip the fraction (negative exponent)

Square the fraction

Answer:

36/25 or 1 11/25

Step-by-step explanation:

(5/6)^-2

A negative exponent tells us to flip the fraction.  It only eliminates the negative part of the exponent.

(6/5) ^2

We can split it apart (a/b)^x = a^x/b^x

6^2/5^2

36/25

1 11/25

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

the absolute value function always returns a positive value, that is

| a | = | - a | = a

| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]

Answer:

8/9

Step-by-step explanation:

when you put 8/9 in the lines it will stay the same.

ex: I7I=7

A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.

In a non-linear equation, a variable is being raised to a power, which results in a curved line.

Answer:

b. y^2 = x^2 + 3   not a linear equation

Step-by-step explanation:

Linear equations are equations in which the variable is in the first degree, or only to the first power.

a. y = x + 6    Nothing above the first power

b. y^2 = x^2 + 3   X and y are to the second power

c. x = 5   Only to the first power

d. 2x = 3y  Only to the first power

Answer:

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25

Step-by-step explanation:

We have three conditions

(1) 5P = 3S

(2)  S = C + 0.30

(3)  P = C – 0.20                           Substitute (3) into (1)

=====

(4)   5(C – 0.20) = 3S                   Substitute (2) into (4)

      5(C – 0.20) = 3(C + 0.30)     Remove parentheses

         5C – 1.00 = 3C + 0.90       Add 1.00 to each side

                    5C = 3C + 1.90        Subtract 3C from each side

                    2C = 1.90                 Divide each side by 2

                      C = $0.95              Substitute C into Equation (2)

=====

                      S = 0.95 + 0.30

                      S = $1.25               Substitute C into Equation (3)

=====

                     P = 0.95 – 0.20

                    P = $0.75

1 plain = $0.75; 1 cheese = $0.95; 1 super = $1.25

Answer:

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

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (6, 5)

m = [tex]\frac{5-6}{6-2}[/tex] = - [tex]\frac{1}{4}[/tex]