Answer:
377 feet
Step-by-step explanation:
Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r
Plug in 12 as r, the radius, then solve:
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](12)
C = 24[tex]\pi[/tex]
Multiply this by 5, since the kids ran around it 5 times:
24[tex]\pi[/tex](5)
= 120[tex]\pi[/tex]
To the nearest foot, this is 377.
So, the kids ran round 377 feet
Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Which statement about odd numbers is true?
A. If x is odd then x2 is even.
B. If x is odd then 2x is even.
C. If x is odd then x3 is even.
D. If x is odd then 3x is even.
Can someone help me
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
I need help with #12
Answer:
B
Step-by-step explanation:
Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.
Rita says she bought a total of 14.4 L of water.
Use estimation to show that her answer is reasonable.
Drag the numbers into the boxes to complete the number sentence.
_____x______= L
1 2 8 15 16 20 120 160
Answer:
Equation: 2 x 8 = 16
Step-by-step explanation:
1.8 ≈ 2
8 ≈ 8
2 x 8 = L
L = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP FAST!
The number 44 is multiplied by a 44-digit number that contains only ones. What is the sum of the digits of the product?
Answer:
352.
Step-by-step explanation:
The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.
So the sum = 2*4 + 43*8
= 352.
HELP ASAP!!!
An investor bought 1,500 shares of stock for $6 a share. He estimates the probability that the stock will rise to a value of $25 a share is 24%, and the probability it will fall to $2 a share is 76%. What is the expected value of the investor's profit from buying the stock?
A: $13,560
B: $9,120
C: $6,720
D: $2,280
Find the derivative of f(x) =( -7/x) at x = -3.
pls help !!
Answer:
[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Derivative of a constant is a 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]
[tex]\displaystyle x = -3[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply: [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add: [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents: [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π
Answer: √ 4A /π or 13.996450848446
Step-by-step explanation:
D = 2R
C = 2πR
A = πR2
where:
R: Radius
D: Diameter
C: Circumference
A: Area
π: 3.14159
Triangles ABC and DEF are similar. Explain why
AB
BC
DE
EF
Given an example of possible side lengths for segments AB, BC, DE and
EF. Write a coherent explanation using domain specific vocabulary to
justify why these side lengths are reasonable.
B
D
А
Answer:
Triangles ABC and DEF are similar. Explain wh
Step-by-step explanation:
They are the same shape it's just one is smaller one is bigger
DUE IN 10 MINUTES!! PLEASE ANSWER THESE QUESTIONS BELOW. 100 POINTS!!
TOPIC: Probability
1. Provide an example of when probability is used in the media
2. Give a personal example of when probability informed your decision making
3. Provide an example of probability being used to influence a decision
4. Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answer:
Here is ur answer :
1. Probability of composing music for a movie is 1
2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .
3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .
4. Sorry i don't know
Hope the others will help you !!
What is the radius of the circle?
Answer:
8×ED=3×15
ED=45/8
the radius is the half of the diameter
so its 45/16
Answer:
[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]
A jacket that normally sells for $80 is on sale for 20% off. What is the sale price of the jacket?
Answer:
64
Step-by-step explanation:
..........
.........
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answer:
52ft
Step-by-step explanation:
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
Last one please help my brain can’t take this
Answer:
first option 7.331 × 10^6
Answer:
7.331×10E6
( E means the exponent just letting u know :)
Enter the decimal equivalent of 53/100
The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2
Answer:
answer 1/2
Step-by-step explanation:
y-3=-2(x-4)
y-3=-2x+8
y=-2x+11
y=mx+c
m= slope which is -2
because it perpendicular It became 1/2
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
Brainlyess
In order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected drivers at a gas station how many vehicles are owned in their household. From the results of the survey, it is reported that 67% of households in the town have more than one vehicle. Why is this report biased?
Answer options with 4 options
A.A random sample was used.
B.The sample size was too small.
C.A survey should not have been used.
D.Households without a vehicle were not surveyed.
The bias in the report is that households without a vehicle were not surveyed.
• A bias in a statistical research may be occur when the sample used is not entirely representative of the population. The research carried out above was to evaluate the number of households with more Than one car, the sampling frame should not only include the households with cars but the entire household in the town.
• The fact that the random sample were Drivers at the gas station, exempts those households without cars because those without cars cannot drive to a gas station.
• The sample is sufficiently large.
The scenario also states that, the samples were chosen randomly.
Hence, the bias is that household without cars were exempted from the survey.
Learn more : https://brainly.com/question/24393604
Homemade applesauce is one of Duncan's favorite foods, so he bought 10 pounds of apples at the farmers' market. His applesauce recipe says that 8 ounces of apples make 1 cup of applesauce. How many cups of applesauce can he make with 10 pounds of apples?
Answer:
20 cups of applesauce
Step-by-step explanation:
8 ounces = 0.5 pounds
Pounds of apples : cups of applesauce
0.5 pounds : 1 cup = 10 pounds : x cups
0.5/1 = 10/x
0.5*x = 1*10
0.5x = 10
x = 10/0.5
x = 20 cups of applesauce
10 pounds of apples will make 20 cups of applesauce
The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in
Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
Factor the following: x^2-7
Answer:
the answer is 0
hope it helps have a nice dayyy
Which inequality represents the number of miles Ellie rides during her school break?
O A. m > 20
B. m > 20
C. m < 20
D. m < 20
Answer:
Hello! Your answer would be BELOW
Step-by-step explanation:
A)
D)
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 51.5
Step-by-step explanation:
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answer:
I need this tooo, did u find it??
Step-by-step explanation:
Someone help please, I’ll give you brainlist!
Answer:
it is a 1
Step-by-step explanation:
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
The data below represents the number of practices each member of Nidhi's ski team attended.
\qquad25,28,29,29,30,34,35,35,37,3825,28,29,29,30,34,35,35,37,3825, comma, 28, comma, 29, comma, 29, comma, 30, comma, 34, comma, 35, comma, 35, comma, 37, comma, 38
HELP
Which box plot correctly summarizes the data?
The right box plot that summarizes the data should look like the one constructed below in the diagram attached.
We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.
Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32
Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.
Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.
To learn more about box plots;
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Using f(x) =8x^2 and g(x) = 2x +8
Find f(g(x))
Answer:
32x²+256x+512
Step-by-step explanation:
f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512