12 m
Step-by-step explanation:
24/2 = 12
I hope this helps you, have a good day!
Answer:
answer: 12
Step-by-step explanation:
The radius is just half of the diameter since the diameter is 24 we just have to divide that by 2 to get the answer so 24 ÷ 2 = 12 so 12 is the radius Hope that helps!
The age of people waiting in line for a movie are given. Use the data to make a frequency table with intervals.
12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8
The frequency table for the given data is shown above.
What is is frequency table?A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.
Given is the age of people waiting in line for a movie as -
12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8
Arrange the data in ascending order -
6, 6, 8, 10, 12, 15, 27, 31, 45, 49, 55, 65
INTERVALS FREQUENCY
0 - 10 4
11 - 20 2
21 - 30 1
31 - 40 1
41 - 50 2
51 - 60 1
61 - 70 1
Therefore, the frequency table for the given data is shown above.
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PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m
What is the height?Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.
Given that the rocket's flight can be approximated approximatively using the equation,
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Find out the maximum height.
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.
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You lose 0.3 point for stepping out of bounds during a gymnastics floor routine. Your final score is 9.124. Write and solve an equation to find your score $x$ without the penalty.
Your score without the penalty is 9.424.
To find your score without the penalty, we need to add 0.3 points back to your final score of 9.124. We can use the linear equation:
x = 9.124 + 0.3
This equation represents the original score, represented by x, plus the penalty of 0.3. To solve for x, we need to add 0.3 to 9.124:
x = 9.124 + 0.3
x = 9.424
So your score without the penalty is 9.424.
In this equation, x is being used to represent the original score, before the 0.3-point penalty was applied. The equation x = 9.124 + 0.3 represents that the original score was 9.124 and 0.3 points were taken off due to stepping out of bounds. By solving the equation, we are able to find the original score without the penalty which is 9.424
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When treated with an anabiotic, 97% of all the dolphins are cured of an ear infection. if 6 dolphins are treated find the probability that exactly 3 are cured.
The probability is _____
(Round your answer to 4 decimal places.)
Answer:
0.0005
Step-by-step explanation:
this is a binomial experiment -- they are either cured or not, and the outcome is random
probability = n choose r * p^r * q^(n-r)
here, n = number of trials, r = number of successes desired, p = probability event occurs, and q = probability event doesn't occur
probability = n choose r * p^r * q^(n-r) = 6 choose 3 * 0.97^3 * 0.03^(6-3)
= 0.00049284342 rounding to 0.0005
how do you solve this
Answer:
5^5+4/5^6
5^9/5^6
5^9-6
5^3
125
Step-by-step explanation:
Firstly the powers of 4 adds up
Then net power is formed by (9-6) ie 3
Lastly 5^3 is result which is 125
Find the area of the regular pentagon below
Answer:
247.75
Step-by-step explanation:
I need help on this question. I dont understand it.
a. The system of equations is given as follows:
35x = 15 + 32x.
The solution is given as follows:
x = 5.
b. The meaning of the solution is that the cost to purchase 5 jackets in each company is the same.
c. Gabriela should choose Anastasia's Monogram, as the function has a lower numeric value when x = 10.
How to model the situation?The cost per jacket for each company is constant, hence a linear function is used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the cost paid per each jacket.b is the y-intercept, representing the design fee, which is a one-time payment.Hence the functions for each company are given as follows:
Anastasias's Monograms: y = 15 + 32x.Monograms Unlimited: y = 35x.The system of equations is used to find when both will have the same cost, as follows:
35x = 32x + 15
3x = 15
x = 5 jackets.
For 10 jackets, the costs are given as follows:
Anastasias's Monograms: y = 15 + 32(10) = $335 -> lower cost.Monograms Unlimited: y = 35(10) = $350.More can be learned about linear functions at https://brainly.com/question/24808124
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Which point has coordinates (0, -1) ?
Please help asappp !! I will give 20 points
Answer:
Point E
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
You don't move on the x axis, so no side to side movement.
You do move on the y axis, but only down 1.
D is the only one that can work.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x > 3
Step-by-step explanation:
6x - 2 - 3x + 9 > 16
3x + 7 > 16
3x > 9
x > 3
Solve for x. the formula is cosine
Answer:
Step-by-step explanation:
Find the probability that a point chosen at random in the figure will be shaded region. Write your answer as a percentage rounding to yhe nearwst hundreth in percent
Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing the first card. What is the probability that Bess is chosen first and Carolina is chosen second?
Which expressions are equivalent to 6x - 18 ?
c.) 3(2x-6)
Reason:-
3(2x-6) = 6x-18
Answer:
C, D, and E are your answers
3 x 2x = 6x, 3 x 6 = 18
6x - 18
x + 5x = 6x
6x - 18
2 x 3x = 6x
2 x 9 = 18
6x - 18
The shapes below are mathematically similar
Not drawn
to scale
8 cm
9 cm
12 cm
Calculate the length of side x.
Answer:
I think it is 9 cm
Step-by-step explanation:
3. In the figure, c || d. What are the measures
of 1 and 2
Answer:
1: 105 degrees
2: 75 degrees
Step-by-step explanation:
2 is a corresponding angle with 75.
1 is supplementary so x+75 = 180
x=105
50 POINTS!! Pls make sure the answers are correct and the work is shown
Answer all pls and show work
Answer:
it 33 pts not 50
Which of the following ratios is used to determine ones debt-to-income ratio? a. 20/28 b. 20/36 c. 28/30 d. 28/36 Please select the best answer from the choices provided A B C D Mark this and return
Answer:
D 28/36
Step-by-step explanation:
A person's debt-to-income can be calculated by dividing all his/her monthly debt payments by the gross monthly income. This number can be used for determining your ability to manage your monthly payments to repay the money you plan to borrow. In general, 43% is the highest DTI ratio a borrower can have and still get qualified for a mortgage, but lenders prefer a ratio lower than 36%, with no more than 28% of that debt going towards servicing a mortgage or rent payment. Thus, someone should spend at most 28% of his/her gross income on total housing expense and maximum of 36% on total debt service.
Answer:
D
Step-by-step explanation:
3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the medallion.
Step-by-step explanation:
Volume of displaced water = (10cm)(10cm)(1.6cm)
= 160 cm^3
density = mass/vol of displaced water
= 3088 grams/160 cm^3
= 19.3 g/cm^3
P.S. This is most likely a pure gold medallion.
PLEASE HELPPP
WILL GIVE BRAINLIEST
Answer:
1 3/16
Step-by-step explanation:
1/8 = 2/16
Answer:
1 3/16
Step-by-step explanation:
if you shift the linear parent function, f(x)=x, left 14 units, what is the equation of the new function
Answer: This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative
Step-by-step explanation:
find the volume of the sphere. r = 3 cm. V= cm^3
Answer:
113.1 is the volume of the sphere.
Answer:
[tex]volume = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {(3)}^{3} \\ = 113.04 \: {cm}^{3} [/tex]
what is 25% more than60
Answer:
1/4 of 60= 15
15+60=75
75 is 125% of 60
Step-by-step explanation:
What does it mean when a problem is undecidable?
An undecidable problem is one that should have a "yes" or "no" answer but has no algorithm that can correctly answer on all inputs.
What is undecidable problem?According to the theories of computational complexity and computability, an undecidable problem is one for which it has been demonstrated that it is impossible to create an algorithm that always yields the right yes-or-no response. As an illustration, it can be shown that there is no algorithm that can accurately predict whether arbitrary programmes will eventually halt when run.
Any question that is simply yes or no on an infinite list of inputs is a decision problem. It is customary to define the decision problem as the set of inputs for which the problem returns yes because of this. Natural numbers as well as values of other kinds, such as strings in a formal language, can be used as these inputs.
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I need help with this ASAP! Its about budgeting.
Answer:
Step-by-step explanation:
I gave you all of the information to fill out the first page
i also answered some of the questions on the 2nd page. They are written sideways on the page. The other questions I didn’t answer yneed calculations after you add all of the expenses together.
put the amounts from each category I listed in the image and put them into the respective category and get the total for each category. Use those totals to fill out page two. If you get stuck I don’t mind helping but I thought this is the best way to get you started.
How to graph 4x-6y=36
What’s the x intercept
What’s the y intercept
Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).
Clarify the equationA depiction of two equal variables, one on either side of a "equals" sign, is what constitutes an equation in mathematics. To solve common issues, one can use equations. We frequently look for help with pre algebra to overcome obstacles in real life. Basic mathematical concepts are covered in pre-algebra lessons.
Here,
the x-intercepts,
In order to determine the x-intercept(s), put in for y and calculate 4x6y=36.
Make the equation work.
x=9 point form x-intercepts.
x-intercept(s): \s(9,0) (9,0)
the y-intercepts, please.
In order to determine the y-intercept(s), replace with and solve for y=.4(0-)6y=36.
Make the equation work.
To continue, tap.
Point shape y=6 y-intercept(s).
The y-intercept is (0, 6).
Write down the junctions.
x-intercept(s): (9,0)
The y-intercept is (0, 6).
Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).
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Write a quadratic equation in standard form
Answer:
s
[tex]4x {}^{2} + 3x - 11 = 0[/tex]
Step-by-step explanation:
Hope it helps :)
1) Alice decides to take a trip from the East Coast of the United States to the West Coast. While planning, she chooses to drive, fly, and ride a train. Her first leg of the trip is traveling by car, from Sacramento, California to Denver, Colorado. Along the way, she fills up her tank using regular unleaded gas, costing $4.65 per gallon, and premium gas, $4.95 per gallon. After driving for many hours, Alice finally makes it to Denver, Colorado spending $874.80 in gas.
a) Let r represent gallons of regular unleaded gas and let p represent gallons of premium gas. Create an equation that models the situation.
Incorrect but attempt was made (1 pt) Partially correct
(2-4 pts) Fully Correct
(5 pts)
b) If Alice purchases 87 gallons for regular unleaded gas, how many gallons of premium gas did she purchase? Show all work to receive full credit.
Provided incorrect answer and no work shown (1 pt) Incorrect answer with work shown or Correct answer with no work shown
(2 pts) Correct with partial work shown (3-4 pts) Fully Correct with all work shown
(5 pts)
a) The equation that models Alice's total cost of filling up her car tank using regular unleaded gas and premium gas is 4.65r + 4.95p = 874.80.
b) Based on the above equation, if Alice purchases 87 gallons of regular unleaded gas, it means that she also purchases 95 gallons of premium gas.
What is an equation?An equation is a mathematical statement equating two or more mathematical expressions using the equation sign (=).
The cost per gallon of regular unleaded gas = $4.65
The cost of premium gas per gallon = $4.95
The total cost for gas = $874.80
Let gallons of regular unleaded gas = r
Let gallons of premium gas = p
Equation:4.65r + 4.95p = 874.8
If r = 87, the value of p is:
4.65(87) + 4.95p = 874.8
404.55 + 4.95p = 874.8
4.95p = 470.25
p = 95 gallons
Thus, during Alice's first leg from the East Coast to the West Coast, she purchases 87 gallons of unleaded and 95 gallons of premium gas for her car.
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Answer this please I need help.
Answer:
im not sure about this, but ithink i know how to solve it!
Step-by-step explanation:
you have to take the 10and multiply its self by 70 (10 x 10 x 10 x 10 x10 x 10 x10)
and then take what you got by multiplying that, and multipy by 4.457. then you do they same for the other two, then add them all together :)
the mean of a 6 number dataset is 20 if one of the numbers is 15 and you remove it from a dataset what us the mean of the remaining 5 numbers in the data?
Answer:
21
Step-by-step explanation:
If the mean of the data set is 20, we know that it is the sum of all the values in the data set, divided by the number of values. So, with s representing the sum, the mean is s/6 = 20
To undo division, multiply 20 by 6. 20*6 = 120.
120 is the sum of all of the values. Since we're taking out the number 15, subtract it from 120. You're left with 105, which is the sum of the rest of the numbers. Since you now only have 5 numbers, divide 105 by 5 and you get the new mean, which is 21.
Amy operates a coffee kiosk and is blending her special house coffee. She is mixing Kenya beans that cost $9. 00 per pound with Colombia
beans that cost $7. 50 per pound to create a 30 pound blend that sells for $8. 50 per pound. How many pounds of Kenya beans and how many
pounds of Colombia beans does Amy need to use to create her blend?
So Amy needs to use 2 pounds of Colombia beans and 32 pounds of Kenya beans to create her blend.
Define Unitary Method.The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
What is direct and indirect variation in the unitary method?We are aware that an inverse variation or indirect variation occurs when two values are coupled in a way that a rise in one generates a corresponding reduction in the other, and vice versa.
Let x be the number of pounds of Kenya beans and y be the number of pounds of Colombia beans. We know that:
x + y = 30 (since the blend is 30 pounds)
We also know that the blend sells for $8.50 per pound, so the total cost of the blend is:
8.50(x + y) = 8.50(30) = $255
We know that the cost of the Kenya beans is $9.00 per pound and the cost of the Colombia beans is $7.50 per pound, so the total cost of the Kenya beans is:
9.00x and the total cost of the Colombia beans is 7.50y
We can set up the following equation:
9x + 7.5y = 255
We have 2 equations and 2 variables, we can solve this system of equation by different methods, one of them is substitution:
x + y = 30
9x + 7.5y = 255
We can substitute the first equation into the second equation
9(x + y) + 7.5y = 255
9(30) + 7.5y = 255
270 + 7.5y = 255
7.5y = -15
y = -2
So Amy needs to use 2 pounds of Colombia beans. We can substitute that value into the first equation to find the amount of Kenya beans:
x + (-2) = 30
x = 32
So Amy needs to use 32 pounds of Kenya beans.
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