answer: 8
Explanation:
Use the formula for the area of a circle:
A = π r 2
Here, the area is 16 π
16 π = π r 2
Divide both sides by
16 = r 2
Take the square root of both sides:
√ 16 = √ r 2
4 = r
Since the radius of the circle is
4
, the diameter is twice that:
d = 4 × 2 = 8
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.
Answer:
Random sample of 500 residents of Story County
Step-by-step explanation:
SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.
Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.
What is the quotient of 2^x3+ 3^x2 + 5x-4 divided by x^2 + x +1?
Answer:
quotient: 2x+1 Remainder: 2x-5
Step-by-step explanation:
2 x³ + 3 x² + 5 x - 4 = (2 x + 1) × (x² + x + 1) + 2 x - 5
The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 will be 2x + 1 and [(2x - 5) / (x² + x + 1)]. Then the correct option is D.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1. Then we have
x² + x + 1 )2x³ + 3x² + 5x - 4 (2x + 1
- 2x³ - 2x² - 2x
x² + 3x - 4
- x² - x - 1
2x - 5
The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 will be 2x + 1 and [(2x - 5) / (x² + x + 1)]. Then the correct option is D.
More about the polynomial link is given below.
https://brainly.com/question/17822016
#SPJ2
6ya +7y{a
Find the sum
O 13y^2
O O 13ay
O 13y/2a
0 13ya
The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the sector. Round to the nearest degree.
Answer:
100
Step-by-step explanation:
i dont know but the website i was on said 100
There is a line that includes the point (3, 3) and has a slope of 4. What is its equation in
slope-intercept form?
Answer:
y = 4x - 9Step-by-step explanation:
The equation in point-slope form with slpope of m and including point (x₁,y₁) is:
y - y₁ = m(x - x₁)
m = 4
(3, 3) ⇒ x₁ = 3, y₁ = 3
So:
y - 3 = 4(x - 3) ← the point-slope form
y - 3 = 4x - 12 {add 3 to both sides}
y = 4x - 9 ← the slope-intercept form
Given f(x)=3(x-1)(x-7) what is the minimum output value of the function
Answer:
-27
Step-by-step explanation:
f(x) = 3(x-1)(x-7)
= (3x-3)(x-7)
= 3x^2 - 24x + 21
when f(x) = 0, x = 7 or 1
x-intercept of vertix of the graph = (7+1 )/ 2 = 4
f(x) attains it's minimum when x = 4
The minimum output value = 3(4-1)(4-7) = -27
1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all. Michael used the expression 7t + 4.50 to find the total cost. a) What is the variable and what does it represent in the expression? Explain.
Answer:
The variable is t
t represent the cost of movie tickets
Step-by-step explanation:
Given:
Total cost = 7t + 4.50
The variable is t
Michael + 6 friends = 7 people
4.50 represent the cost of popcorn
t represent the cost of movie tickets
For instance,
If the cost of a movie tickets is $2
Then,
t = 2
Total cost = 7t + 4.50
= 7(2) + 4.50
= 14 + 4.50
= 18.50
Total cost = $18.50
Label each statement as True or False.
Answer:
1. False
2. False
3. True
Answer: 1. False 2. False 3. False
Step-by-step explanation:
All circles are similar Figures can be proven similar if one, or more, similarity transformations can be found that map one figure onto another. Consequently, a circle is defined by only one length - the radius.
The answer is D i just took usatestprep
Answer:
Huh? where is your question?
Step-by-step explanation:
HELP ASAP PLEASE I KEEP GETTING IT WRONG:(
Answer:
I think it's the amount of money Mary earns for 10 hours worked.
Step-by-step explanation:
can someone help me choose which graph???
Answer: Plan Z because you get 10 hours for $38
Step-by-step explanation:
Will give brainliest to the first person to answer!!
A. 3 units
B. 4 units
C. 6 units
D. 8 units
I got 0.2 but that’s not an option. please help
This is impossible. The answer is 0.2. Tell your teacher about the impossible problem.
Find the total package price from each store and then calculate how much you"lol save if you purchase the less expensive package
Complete Question:
You're planning to buy a new computer, monitor, and printer for your office. You've received the following prices from two stores:
Store 1 Store 2
Computer: 2,500 Computer: 2,350
Monitor: 595 Monitor: 435
Printer: 398 Printer: 349
Find the total package price from each store and then calculate how much you'll save if you purchase the less expensive package.
Answer:
[tex]Total = 3493[/tex] --- Store 1
[tex]Total = 3134[/tex] --- Store 2
[tex]Saved = 359[/tex]
Step-by-step explanation:
From store 1, the total cost is:
[tex]Total = 2500 + 595 + 398[/tex]
[tex]Total = 3493[/tex]
For store 2, the total cost is
[tex]Total = 2350 + 435 + 349[/tex]
[tex]Total = 3134[/tex]
By comparison: It is cheaper to buy from store 2
Because [tex]3134 < 3493[/tex]
Amount saved is calculated by subtracting the cheaper cost from the expensive cost:
i.e.
[tex]Saved = 3493 - 3134[/tex]
[tex]Saved = 359[/tex]
please help i will mark branliest
Answer:
The correct answer is D
Step-by-step explanation:
40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches
A customer pay 72$ for 18 sandwiches. If each sandwich cost the same amount , what is the cost per sandwich, in dollars?
Answer:
Each sandwich costs 4$.
Step-by-step explanation:
To find the answer we will divide 72$ by 18 and we get 4$.
The number of sandwiches and the total price of sandwiches are directly proportional.
Cost of 18 sandwiches = $72
Cost of 1 sandwich = $72/18
= $4
Hence the cost of 1 sandwich is $4.
What's the area of the circle r=1.2 yd plss help
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
A Circular pool has diameter of 24 feet what's the area of the cover - 452.16 square feet - 75.36 square feet - 150.72 square feet - 1,808.64 square feet
Answer: 452.16 square feet
Step-by-step explanation:
The formula that is used to calculate the area of a circle is given as:
= πr²
where π = 3.14
r = Diameter/2 = 24/2 = 12
Area = πr²
= 3.14 × 12²
= 3.14 × 144
= 452.16 feet²
Therefore, the answer is 452.16 square feet.
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answer:
750
Step-by-step explanation:
The Johnson family went out to lunch.
• The meal cost $46.72.
. The sales tax was 8% of the cost of the meal.
• The tip was 15% of the meal and sales tax.
• There are 4 people in the Johnson family.
How much did the meal cost per person, including sales tak and tip?
A. $14.00
B. $14.50
C. $14.95
D. $15.25
Answer:
14.50
Step-by-step explanation:
Write the exponential expression
26 squared
Answer:
26²
Step-by-step explanation:
26 x 26 = 676
A cylinder has a height of 8 feet and a radius of 3 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
226.08 ft
Step-by-step explanation:
using the formula for volume of cylinder
πr²h
3.14× 3²×8= 226.08 ft
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
41.57 cm²Step-by-step explanation:
to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
41.57
Step-by-step explanation:
took the test
PLEASE HELP MARKING BRAINIEST
Answer:
B 2
Step-by-step explanation:
Because the leading term makes the difference on whether a parabola opens upward or downward.
If the leading coefficient of the leading term (which is 2) is negative it opens downward. If it is positive like it is in the equation then it opens upward.
Hope that helps :)
c) Describe the relationship between E and K. What is the measure of K?
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Answer:
D
Step-by-step explanation:
HELP FASTLY WILL MARK BRAINLEST AND GIVE 5 STAR RATING! ANSWER FASTLY PLEASEEE!
[Image: Coordinate plane with points plotted at ordered pairs Q (–4, 4), R (2, 4), S (5, –3), T (2, –3), and U (–4, –3)]
What is the area of polygon QRSTU? _______ square units?
Right answers will get brainliest!
Answer:
42 = C (y ≤ 2)
43 = G (-x + 4x - 2)
44 = B (Its axis of symmetry is x = 14)
45 = H (x = 2)
A cylinder has a height of 17 millimeters and a radius of 6 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1921.68mm^3
Step-by-step explanation:
Given data
H=17 millimeters
R=6 millimeters.
We know that the expression for the volume of cylinder is
V= πr^2h
substitute
V= 3.14*6^2*17
V= 3.14*36*17
V= 1921.68 mm^3
Hence the volume is 1921.68mm^3
Geometry 10th Grade. Help but only with right answers don't waste the answers
Answer:
the last one, d
Step-by-step explanation:
simplify it and you get x+3, y+1 which is the translation on the graph.