Answer:
81π
Step-by-step explanation:
Area of a circle formula is : [tex]A=\pi r^2[/tex]. r stands for radius.
Radius is half of the diameter. To solve for the area of the circle, we must replace r with diameter/2 which is 9 (18/2 = 9).
[tex]A=\pi 9^{2}[/tex]
Now, the question wants us to give the answer in terms of pi. So we are going to simplify the equation WITH PI. Meaning, we aren't going to multiply pi. So we will just simplify 9 squared to 81.
So in terms of pi the area is 81π
Answer:
81π
Step-by-step explanation:
Area of a circle= π[tex]r^{2}[/tex] ( where r is the radius multiplying it twice)
Area of a circle = π × r × r ( this is the formula in simplier terms )
Area of a circle = 3.14 × 9 × 9 ( To get 9 divide 18 by 2 as diameter is 2 radii
Area of a circle = 81π ( multiply the numbers AND THESE ARE THE TWO NINES LEAVING π)
HOPE IT HELPED
18 (8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial.
Answer:
=3t3−2t2+174t+136
Step-by-step explanation:
Let's simplify step-by-step.
18(8+9t)−(t2+4)(2−3t)
Distribute:
=(18)(8)+(18)(9t)+3t3+−2t2+12t+−8
=144+162t+3t3+−2t2+12t+−8
Combine Like Terms:
=144+162t+3t3+−2t2+12t+−8
=(3t3)+(−2t2)+(162t+12t)+(144+−8)
=3t3+−2t2+174t+136
Answer: a, b, c, & d
Step-by-step explanation:
18(8 + 9t) - (t² + 4)(2 - 3t)
= 144 + 162t - (2t² - 3t³ + 8 - 12t)
= 144 + 162t - 2t² + 3t³ - 8 + 12t
= 3t³ - 2t² + 174t + 136
a) The simplified expression is a polynomial. TRUE (there are many terms)
b) The simplified expression has a constant term. TRUE (136 is the constant)
c) The simplified expression is cubic. TRUE (the degree is 3)
d) The simplified expression has four terms. TRUE
e) The simplified expression is a trinomial. FALSE (there are 4 terms, not 3)
A cup containing 3 blue paper clips, 2 red paper clips, and 5 silver papers clips . What is the probability of not drawing a red paper Clip?
Answer:
0.2
Step-by-step explanation:
The total universe consists of 3 + 2 + 5 = 10 paper clips.
2 of them are red.
The probability of drawing one is 2/10 = 0.2 or 1 chance in 5.
what is the aveage rate of a cheetah traveling 15 minute in total traveling 70 mph and 40mph
The average rate of the cheetah's travel is 27.5 miles / 0.25 hours = 110 mph.
To find the average rate of the cheetah's travel, we need to calculate the total distance traveled and divide it by the total time taken.
First, let's calculate the distance traveled at 70 mph. Since the cheetah traveled for 15 minutes, we need to convert the time to hours by dividing it by 60. So, 15 minutes is equal to 15/60 = 0.25 hours.
The distance traveled at 70 mph can be calculated using the formula: distance = rate × time. Plugging in the values, we get distance = 70 mph × 0.25 hours = 17.5 miles.
Next, let's calculate the distance traveled at 40 mph. Since the cheetah traveled for the same 15 minutes, the time remains the same at 0.25 hours.
Using the same formula, distance = rate × time, we get distance = 40 mph × 0.25 hours = 10 miles.
Now, we can find the total distance traveled by adding the distances at 70 mph and 40 mph: 17.5 miles + 10 miles = 27.5 miles.
To find the average rate, we divide the total distance by the total time. The total time traveled is 15 minutes, which is equal to 0.25 hours.
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write the prime factorization of 68 using exponent
Answer:
68 is a composite number. 68 = 1 x 68, 2 x 34, or 4 x 17. Factors of 68: 1, 2, 4, 17, 34, 68. Prime factorization: 68 = 2 x 2 x 17, which can also be written 2² x
Mrs.Johnson purchased five pizzas and cut each into eight pieces.Lee ate a fourth of the pizza.How many pieces are left.
Answer:
30
Step-by-step explanation:
5*8= 40, 40 slices
1/4 of 40 is 10,
40-10= 30, Lee eats 1/4 of the pizzas (10 pizzas)
SO, there are 30 pizza slices left.
Answer:
30
Step-by-step explanation:
if there is 5 pizza and 8 peices, you would do 5x8. You get 40. Lee ate 30 percent of it meaning this
By which rule are these triangles congruent?
A)
AAS
ASA
SAS
D
SSS
Answer:
SAS
there is only 2 marks on the sides so it has to be SAS
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
3/4 i believe
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
ac is 12, bc is 9. simplify and you get to 4/3
solve 22x+3(x-8)=101
Can someone help with this problem
Answer:
x=5
Step-by-step explanation:
22x+3(x-8)=101
22x+3x-24=101
25x-24=101
25x=125
x=5
two angles of a triangle measure 55° and 20° what is the measure of the third angle of the triangle
Answer:
You add them together to get 75 degrees then you take 180-75 to get 105 so you will subtract the sum of the two given angles from 180°. So your answer is 105 degrees.
Step-by-step explanation:
please answer quick!!
PLEASE HELP! ASAP! 2 questions only.
Answer:
hello..............
.......
Find the distance between (6,2) and (0, -6).
Answer:
10Step-by-step explanation:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(6,2)=(x_1,y_1)\\(0,-6)=(x_2,y_2)\\\\d=\sqrt{\left(0-6\right)^2+\left(-6-2\right)^2}\\\\d=\sqrt{6^2+8^2}\\\\d=\sqrt{36+64}\\\\d=\sqrt{100}\\\\d=\sqrt{10^2}\\\\d =10[/tex]
Step-by-step explanation:
Hey there!
Given points are; (6,2) and (0,-6)
Use distance between two points.
[tex]d = \sqrt{ {x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Put all values.
[tex]d = \sqrt{( {0 - 6)}^{2} + ( { - 6 - 2)}^{2} } [/tex]
Simplify it to get answer.
[tex]d = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } [/tex]
[tex]d = \sqrt{36 + 64} [/tex]
[tex]d = \sqrt{100} [/tex]
[tex]d = 10[/tex]
Therefore the distance between two points is 10 units.
Hope it helps...
in triangles with one angle of 90°, c²= h²-c², right?
Answer:
c^2 = a^2 + b^2
Step-by-step explanation:
for a right angle triangle ( has a 90 degree angle)
the formula is
c^2 = a^2 + b^2
c is the hypotenuse
a is the adjacent
b is the opposite
Combine the like terms in this expression -3x + 2xy + 4y - xy + 2x - 11y
Answer:
-3x+xy-7y
Step-by-step explanation:
you start by finding all the like terms
Answer: xy - x - 7y
Step-by-step explanation:
2xy - xy = xy
-3x + 2x = -x
4y - 11y = -7y
Therefore ans = xy - x -7y
Janet rents a car while spending her vacation traveling in New Zealand. When she returns the car, she has driven 925 miles and used about 37 gallons of gas. If gas costs an average of $5.909 per gallon, estimate how much she spent on fuel. answer fast please
Given parameters:
Distance covered = 925 miles
Quantity of gas used = 37 gallons
Cost of gas per gallon = $5.909
Unknown:
Amount spend on gas = ?
The amount spent on gas would:
Cost of gas = cost of gas per gallon x quantity of gas used
Input the parameters and solve;
Cost of gas = $5.909 / gallon x 37 gallons = $218.6
Amount spent on fuel during her trip was $218.6
Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 1,000 bacteria that decay at a rate of 8% per hour. He will check on the bacteria in 48 hours. How many bacteria will he find? Round your answer to the nearest whole number.
Answer:
8%=1 hour
?=48 hours
48×8
384
1000-384
616 bacteria
Answer:
21
Step-by-step explanation:
Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.
AA0rt=?=1000=−0.08/hour=48hours
Substitute the values in the formula.
AA=A0ert=1,000e−0.08⋅48
Compute the amount.
A≈21.49
Round to the nearest whole number.
A≈21
Twenty two people are running in tomorrow's road race and Jerome thinks they will which want two cups of energy drink.
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
heres most of my answers execpt the last one cause i didnt do it yet....
Step-by-step explanation:
Step 1: Finding the part-to-part and part-to-whole ratios
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
a. What is the ratio of water to drink mix? (2 points)
8:3
b. What is the ratio of drink mix to water? (2 points)
3:8
c. What is the ratio of drink mix to mixed energy drink? (2 points)
3:8
d. What is the ratio of water to mixed energy drink? (2 points)
8:8
Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
a. Complete the table below. (2 points)
Original Ratio +1 +2 +3 +4
Drink mix (cups) 3 4 5 6 7
Water (cups) 8 9 10 11 12
b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)
Jerome’s brother is wrong because in Jerome’s original mix his ratio is 8:3 and Jerome’s brother is saying to add 1 cup of water to the mix that would usually take 2.6666….and that would just make the drink powdery and not taste very well.
Step 3: Testing Jerome’s sister’s pproach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
a. Complete the table below. (2 points)
Original Ratio ×1 ×2 ×3 ×4
Drink mix (cups) 3 3 6 9 12
Water (cups) 8 8 16 24
32
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)
Jerome’s sister is correct because in Jerome’s original ratio he has 8:3 and his sister is saying to multiply the ratio of water to drink mix and still increase the amount of energy drink.
Page Break
Step 4: Calculating the right recipe for Jerome
Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.
a. How many cups of energy drink does Jerome need to make?
(1 point)
44 cups of water
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing. (4 points)
4 8 12 16 20 24
Cups of mix 3 6 9 12 15 18
cups of water 8 16 24 32 40 48
X1 X2 X3 X4 X5 X6
Hope this helps :3
Evaluate express your answer in Simplest form
7/9 - 2/8 x 4/9
Answer:
2/3
Step-by-step explanation:
What is 19.2 X 10/9 minutes in hours?
Answer:
0.3555
Step-by-step explanation:
Which number is not a factor of 12 and a multiple of 6
Answer:
4
Step-by-step explanation:
The number which is not a factor of 12 and a multiple of 6 is 5.
What are factors of a number?
A factor is a number that divides the given number without any remainder.
The factors of a number can be positive or negative. In easy words, we can can factor a number, we can write the number as a product of other whole numbers.
Given is number is not a factor of 12 and a multiple of 6.
There are many numbers which are not the factor of 12 and neither the multiple of 6. One such number is 5. If we divide 5 by 12, we get 2 as a remainder and 5 can never be a multiple of 6 unless we multiply 6 by a decimal value.
Therefore, the number which is not a factor of 12 and a multiple of 6 is 5.
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What is the correct answer to the following blanks to prove that for all subsets A and B of X, F(A ∩ B) ⊆ F(A) ∩ F(B) given let X and Y be any sets, and let F be any function from X to Y?
In step 2, it's shown that x ∈ A ∩ B, so in step 3, it follows by the definition of set intersection that x ∈ A and x ∈ B.
Then in step 4, by definition of image of an element, both F(x) ∈ F(A) and F(x) ∈ F(B).
The rest of the proof follows.
!!!!SQUARE ROOT RELATED - Please show work and/or explanation
What is the square root of 288
Answer: 12 * square root(2)
Step-by-step explanation:
Since we know 12^2 = 144 and 144 is half of 288, therefore root 288 can be simplify into:
Square root(12^2 * 2) = root(12^2) * root(2)
= root(144) * root(2)
= 12 * square root(2)
Simplify the square root of 3 times(the square root of 6 plus the square rooot of 15)
Answer:
Okay so the square root of 6 would be either 3 or 2 because 3×2=6
And the square root of 15 would either be 3 or 5
because 3×5=15
And I don't understand when it says simplify the square root 3 times.
Hey! The answer is 5
I use OW
have a good day ;)
what is 41/19 to the nearest tenth
Answer:
2.2
Step-by-step explanation:
41/9 is 2.15789473684
since you need it to the nearest tenth, just get rid of the other numbers past the five, you will then have 2.15
since you are looking for the nearest tenth, you need to look at the 2nd number after the decimal place to determine whether it rounds up or down. ( a helpful rule is 5 or above, give it a shove. 4 or below, leave it alone. because the 2nd digit is 5 you need to give the 1 a shove and turn it into a 2. Since you gave the 5 a shove, you need to get rid of that 2nd digit in your answer.
FINAL ANSWER: 2.2
Answer:
41.20 or 41.2
Step-by-step explanation:
when you round it to the tenths place you get 20 instead of 19 so therefore it is 41.20 or 41.2
helllllllllllllllllllllllllllllllllp
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
so first we have to figure out how many times bigger is the width so 8÷3.2=2.5 so if the width is 2.5 times bigger than the small box then, 4×2.5=10 so it should be 10
Hope this helped :)
Scientific Notation is made up of two number parts. The second part is a power of base 10.
A. True
B. False
Answer:
Step-by-step explanation:
True
The given statement "Scientific Notation is made up of two number parts. The second part is a power of base 10" is True so option (A) will be correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Scientific Notation of any random number abcd is given by a.bcd × 10^something.
So the second part will definitely 10^something.
For example, the scientific notation of 345 is 3.45 × 10².
Hence "Scientific Notation is made up of two number parts. The second part is a power of base 10".
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Let A = 125, B = 25 and C = 625. Which of the following relationships is true?
O C>B
B>C
A >B
A=C
Answer:
The relationships which are true are
C>B and A>B
Step-by-step explanation:
With the given statements about the value of A, B and C it shows that C is indeed bigger than B and A is also bigger then B. The sign must open its mouth on the side which is bigger. :)
Can someone plz help me with this i need it fast
Answer:
[tex]c^{2}+6\\ 4^{2} =16\\16+6= 22[/tex]
Step-by-step explanation:
A triangle that contains angles of 35° , 90°, and 55° is a (n)____ triangle.
Hi there!
How are you?
Answer:
Right Triangle
Step-by-step explanation:
A triangle that contains angles of 35°, 90°, and 55° is a RIGHT triangle.
Since one of the angles is 90 degrees (right angle) and the other two angles are less than 90 degrees (acute angles) it is a right triangle because it cousins of right angle.
Have a good day/night!
Answer:
Right angled triangle
Step-by-step explanation:
The triangle is a right angled one because it has a 90 degrees angle and a right angle is equal to 90 degrees. Thus it is a right angles triangle.
HOPE IT HELPED
