Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm

Answer:

The absolute error is 0.2

The percent error is 1.45

Step-by-step explanation:

Please kindly check the attached for explanation

The absolute error of the police officer's estimate is 0.2, and the percent error is approximately 1.5%

In Mathematics, absolute error is determined by the absolute value of the difference between the estimated value and the actual value. Therefore, the absolute error in this case is |14 - 13.8| = 0.2.

Percent error, on the other hand, is calculated by first finding the absolute error, then dividing the absolute error by the actual measurement, and finally multiplying the result by 100% to turn it into a percentage. So in this case, the percent error is given by (0.2 / 13.8) * 100 = 1.45%. Since we should round it off to the nearest tenths, the percent error will be roughly 1.5%.

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Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8  y must equal 40.

6:30 = 8:40

or

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

Answer:

9

Step-by-step explanation:

just subtract 16 from 25

Hope this will help u...:)

Look at the attached picture...!!

Hope this will help u....:)

Answer:

(24+36)×5 First you do whatever is in the parentheses first which would be 60. Next you would multiply it by 5 which is 5 days. It is 500. Joan sells 500 muffins and bagels in a day.

A diagram and review of the basic trig functions will show that the distance d flown by the plane between observations is

d = 400 cot 1.5° - 400 cot 5° = 10700m = 10.7km

10.7km/2min * 60min/hr = 321 km/hr

Hope this helps

Answer:

[tex]3\sqrt{7}[/tex]

Step-by-step explanation:

Step 1:  Simplify

[tex]\sqrt{63}[/tex]

[tex]\sqrt{3^2 * 7}[/tex]

[tex]3\sqrt{7}[/tex]

Answer:  [tex]3\sqrt{7}[/tex]

Answer:

7.94 0r 3 square root of 7

Step-by-step explanation:

The square root of 63 is 7.9372539331937717715048472609178. If you round it to two places it is 7.94. In radical form it is 3 square root of 7.

Answer:

⅔

Step-by-step explanation:

Total females: 48

Female and invisibility: 32

P(invisibility/female) = 32/48

2/3

The probability that a female student chose invisibility as their superpower is 2/3

Probability determines the chance that an event would occur. The chance that an event would occur is between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

In this question, two groups of students were surveyed : male and female. Also, there were three groups of superpowers: fly, indivisibility and others.

The probability of a female student chose indivisibility as superpower = number of female students that chose indivisibility as superpower / number of female students

= 32/48

To simplify, divide both numerator and the denominator by 18

= 2/3

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Answer:

32d

Step-by-step explanation:

-The students ride their bikes to and from school every day. The distance is thus;

[tex]d_t=2d[/tex]

-Taking that there are 5 school days per week and that it rains in one per week. the total number of days is:

[tex]Days=Days \ per \ week \times \ number \ of \ weeks\\\\=(5-1)\times 4\\\\=16\ days[/tex]

Now, we multiply the distance per day by the total number of days:

[tex]Distance, D=2d\times 16\\\\=32d[/tex]

Hence, the total distance in a 4-week period is expressed as 32d ( where d is the distance from home to school).

Answer:

Part 17)

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18) Zosia's age is 15 years

Part 19) All together are 36 years old

Step-by-step explanation:

The question in English is

17. Ula is twice as young as Ola and four years older than Ali. Together these three girls are 24 years old. How old is each of them?

18. Zosia's father is 3 times older than her and Zosia is 30 years younger than him.

How old is Zosia?

19. Julek and Asia are 6 years older than Michael, but each of them separately is younger than him: Julek by 7 years, Asia by 2 years. How old are they all together?

Part 17)

Let

x ----> Ula's age

y ---> Ola's age

z ---> Ali's age

we know that

Ula is twice as young as Ola

[tex]y=2x[/tex] ----> equation A

Ula is four years older than Ali

[tex]x=z+4[/tex]

[tex]z=x-4[/tex]----> equation B

Together these three girls are 24 years old.

so

[tex]x+y+z=24[/tex] -----> equation C

substitute equation A and equation B in equation C

[tex]x+2x+(x-4)=24[/tex]

solve for x

[tex]4x=24+4\\4x=28\\x=7[/tex]

Find the value of y

[tex]y=2(7)=14[/tex]

Find the value of z

[tex]z=7-4=3[/tex]

therefore

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18)

Let

x ----> Zosia's father's age

y ----> Zosia's age

we know that

Zosia's father is 3 times older than Zosia.

so

[tex]x=3y[/tex]  ----> equation A

Zosia is 30 years younger than him.

so

[tex]y=x-30[/tex] ----> equation B

substitute equation A in equation B

[tex]y=3y-30[/tex]

solve for y

[tex]3y-y=30\\2y=30\\y=15[/tex]

therefore

Zosia's age is 15 years

Part 19)

Let

x ----> Julek's age

y ----> Asia's age

z ----> Michael's age

we know that

Julek and Asia are 6 years older than Michael

so

[tex]x+y=z+6[/tex] ----> equation A

Julek is 7 years  younger than Michael

[tex]x=z-7[/tex] ----> equation B

Asia is 2 years  younger than Michael

so

[tex]y=z-2[/tex] -----> equation C

substitute equation B and equation C in equation A

[tex](z-7)+(z-2)=z+6[/tex]

solve for z

[tex]2z-z=6+9\\z=15[/tex]

Find the value of x

[tex]x=15-7=8[/tex]

Find the value of y

[tex]y=15-2=13[/tex]

Adds the ages

[tex]x+y+z=8+13+15=36\ years[/tex]

therefore

All together are 36 years old

Answer:

1.7030973451327434

Step-by-step explanation:

Answer:1.7039735

Step-by-step explanation:

Final answer:

The area of a regular hexagon with an apothem of 15 cm is approximately 1166.55 cm².

Explanation:

The area of a regular hexagon can be found by using the formula:

Area = (3 x apothem x side length) / 2

In this case, the apothem is given as 15 cm. We need to find the side length to calculate the area. The side length can be found using the formula:

side length = 2 x apothem / tan(180° / 6)

Using a calculator, we can find that the side length is approximately 25.98 cm. Plugging in the values into the area formula, we get:

Area = (3 x 15 cm x 25.98 cm) / 2 = 1166.55 cm²

Answer:

D

Step-by-step explanation:

[tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{5}[/tex]

Keep, change, flip.

So, [tex]\frac{5}{6}[/tex] stays the same.

The division sign changes to multiplication.

[tex]\frac{1}{5}[/tex] changes to 5.

So now you have

[tex]\frac{5}{6}[/tex]×[tex]\frac{5}{1}[/tex]= [tex]\frac{25}{6}[/tex]

6·4=24

25-24=1

D= [tex]4\frac{1}{6}[/tex]

Answer:

The correct answer is D. Brainliest plz. I am trying to level up and only have 2 out of the 5 needed. Thanks! Have a good day

Answer:

B. x=2

Step-by-step explanation:

The formula to find the axis of symmetry is -b/2a.

So, in this case, we find our b and a, which are 3 and -12.

Plug them into the formula.

-(-12)/2(3)

The negative sign times another negative makes it into a positive, now we have a positive 12 and then 2 multiplied by 3 equals 6.

Our new equation is 12/6.

Then, simply solve it, 12 divided by 6 equals 2.

Therefore, B would be your answer, x=2.

The axis of symmetry of the parabola defined by the equation y = 3x^2 - 12x + 11 is x = 2.

To find the axis of symmetry of the parabola defined by the equation y = 3x2 - 12x + 11,

we can use the formula for the axis of symmetry for a parabola in standard form which is x = -b/2a.

In this equation, a is the coefficient of x2, which is 3, and b is the coefficient of x, which is -12.

Plugging the values into the formula, we get x = -(-12)/(2*3) = 12/6 = 2.

Therefore, the axis of symmetry of the given parabola is x = 2.

Answer:

x² - 5x - 36 = 0

(x - 9)(x + 4) = 0

x = 9 is the positive solution.

Answer:

All of the numbers are solutions.

Step-by-step explanation:

Step 1:  Solve for x in the first equation

[tex]3x - 1 + 1 > 8 + 1[/tex]

[tex]3x / 3 > 9 / 3[/tex]

[tex]x > 3[/tex]

Step 2:  Solve for x in the second equation

[tex]7 - x - 7 > 3 - 7[/tex]

[tex]-x / -1 > -4 / -1[/tex]

Since you divided by a negative, you must flip the sign.

[tex]x < 4[/tex]

Step 3:  Find the number

x > 3 and x < 4

Answer: All of the numbers are solutions.

Answer: I'm sure it is 33

Answer:

-9-x=13.3

Step-by-step explanation:

x=4.3

-9-x=

-9-4.3=-13.3

Answer:

Part 1) The graphs open downward

Part 2) The vertex is the point (-2,5)

Part 3) The axis of symmetry is x=-2

Step-by-step explanation:

step 1

we have

[tex]y=-\frac{1}{3}(x+2)^2+5[/tex]

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex is a maximum

step 2

The quadratic equation is written in vertex form

[tex]y=a(x-h)^2+k[/tex]

where

(h,k) is the vertex

so

In this problem

The vertex is the point (-2,5)

step 3

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

The x-coordinate of the vertex is -2

therefore

The axis of symmetry is x=-2

Answer

51.312in^2

hope this helps...

Mr Abbot's son mowed more of the lawn. In total, they mowed 19/28 or approximately 68% of the lawn. Hence, approximately 32% or 9/28 of the lawn still has to be mowed.

To find out who mowed more lawn and how much of the lawn is still left to be mowed, we need to compare the fractions and then add them together.

Mr. Abbot mowed 1/4 of his lawn and his son mowed 3/7 of it. To compare these fractions, you can turn them into decimals or percent by dividing the numerator (the top number) by the denominator (the bottom number). Doing that, we find Mr. Abbot mowed 0.25 (or 25%) of the lawn and his son mowed approximately 0.43 (or 43%) of the lawn. Therefore, the son has mowed more lawn.

To figure out how much lawn is still left to be mowed, we add up the fractions of the lawn that Mr. Abbot and his son mowed: [tex]1/4 + 3/7 = 7/28 + 12/28 = 19/28[/tex]. Thus, 19/28 of the lawn have been mowed, and to figure out what fraction is left, we subtract this number from 1 since 1 represents the whole or 100% of the lawn: [tex]1 - 19/28 = 9/28[/tex]. So, 9/28 of the lawn still needs to be mowed.

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Answer:

  g(x) = 2^(x+3) -2

Step-by-step explanation:

To translate a function f(x) right h units and up k units, it becomes ...

  g(x) = f(x -h) +k

Here, your translation is (h, k) = (-3, -2), so the function becomes ...

  g(x) = f(x +3) -2

  g(x) = 2^(x+3) -2 . . . . matches the last choice

Answer:

D.

Step-by-step explanation:

Answer:

64 cups

Step-by-step explanation:

16 quarts ; 1 quart = 4 cups ; 16*4=64

Answer:

1 quart = 4 cups

Therefore 16 quarts = 16 * 4 cups or

64 cups.

Step-by-step explanation:

[tex]25*10^9=25*100000000=2500000000[/tex]

Answer:

Option B

Step-by-step explanation:

Its the same because its basically just like stacking the same shape over and over to make a prism

Answer:

answer is B your welcome:)

Step-by-step explanation:

Substituting the solution (2,10) into both equations of the system shows that it does not satisfy either equation, hence it is not a valid solution.(Choice B.No)

To verify the solution of the system of equations, we can substitute the ordered pair (2,10) into both equations. Let's do this:

Since the ordered pair (2,10) does not satisfy either of the two given equations, we can say that (2,10) is not a solution of the system of the equations.

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The point (2,10) is not a solution to the system of equations -3x - 4y = 4 and -5x + y = 2, as it does not satisfy either equation when substituted.

To determine if the point (2,10) is a solution of the given system of equations:

-3x - 4y = 4

-5x + y = 2
we need to substitute x=2 and y=10 into each equation to see if the left-hand side equals the right-hand side.

For the first equation:

-3(2) - 4(10) = -6 - 40 = -46
which does not equal 4, therefore the point (2,10) is not a solution to this equation.

For the second equation:

-5(2) + (10) = -10 + 10 = 0
which does not equal 2, so (2,10) is also not a solution to the second equation.

Since (2,10) does not satisfy either equation, we can conclude that:

(Choice B)
No, (2,10) is not a solution to the system of equations.

Answer: No.

Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.

Joe is 54 inches tall, which is taller than the kid zone's maximum allowed height of 52 inches (4 feet 4 inches). Therefore, he is not allowed to play in the kid zone area.

To determine if Joe is allowed to play in the kid zone area, we must compare his height to the maximum height allowed for the kid zone. The maximum height for the kid zone is 4 feet 4 inches, which needs to be converted to inches to compare easily with Joe's height.

First, we know that 1 foot equals 12 inches. So, 4 feet is equal to 4 x 12 inches, which is 48 inches. Adding the extra 4 inches from the height limit gives us 48 + 4 inches, which is 52 inches. This is the maximum height allowed for the kid zone.

Since Joe is 54 inches tall, which is greater than the maximum 52 inches, it means he is too tall to play in the kid zone. Therefore, he is not allowed to play there according to the height restriction.

Question:

a. Twenty-three ninth graders and fifteen eleventh graders prefer math.

b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.

c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.

d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.

e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.

Answer:

Therefore, the correct options are;

b. and d.

Step-by-step explanation:

Here we have a table with blank boxes and totals from which we can fill the boxes;

For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils

Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils

Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils

Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils

From the above, the correct option is

Answer:

b only

Step-by-step explanation: