Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
A 150 point exam has 54 questions. There are 2 point and 5 point questions. How many of each type of question are on the test?
Answer:
40 2-point questions and 14 5-point questions
On a 150 point exam with 54 questions, consisting of 2 point and 5 point questions, there are 40 two-point questions and 14 five-point questions.
Explanation:To determine how many 2 point and 5 point questions are on a 150 point exam with 54 questions, we need to set up a system of equations and solve it. Let x represent the number of 2 point questions and y represent the number of 5 point questions. We have two equations based on the information given:
The total number of questions is 54: x + y = 54The total number of points for all questions is 150: 2x + 5y = 150Solving these equations simultaneously, we multiply the first equation by 2, which gives us 2x + 2y = 108. Subtracting this from the second equation cancels out x, yielding 3y = 42. Dividing both sides by 3 gives us y = 14. Substituting the value of y back into the first equation, we have x + 14 = 54, which gives us x = 40.
Therefore, there are 40 two-point questions and 14 five-point questions on the exam.
Which is the definition of hyperbola?
A)it is a locus of points that is equidistant from a fixed point called center.
B)It is a locus of points such that the sum of its distance from two fixed points (foci) is constant.
C)It is a locus of points such that its distance from focus plus its distance from a directrix is constant.
D)It is a locus of points such that the difference of each point's distances from two fixed points is constant.
I believe that the answer is (A)
It is a locus of points that is equidistant from a fixed point called the center. Which is the correct answer would be an option (A)
What is the hyperbola?Hyperbola is defined as a conic section, a two-branched open curve, produced by the intersection of a circular cone.
(x-h)²/b² - (y-k)²/a² = 1
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
The variable h represents the x-offset from the origin,
and k represents the y-offset from the origin.
Here it is a locus of points that are all equal distance from the center, a constant point.
Therefore, it is a locus of points that is equidistant from a fixed point called the center.
Learn more about the hyperbola here:
https://brainly.com/question/27799190
#SPJ6
A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many white roses are in each bouquet? A) 3 B) 5 C) 7 D) 8 E) 9
Answer:
B
Step-by-step explanation:
help again these are confusing to me ill mark you brainliest if correct
Answer:
Step-by-step explanation:
Volume = πr²h
= 3.14 * 5 * 5 * 10
= 785 in³
How many solutions are there to the equation below?
| x |= 23
A. 1
B. O
C. 2
D. 23
Which equation can be rewritten as x + 4 = x2? Assume x greater-than 0 StartRoot x EndRoot + 2 = x StartRoot x + 2 EndRoot = x StartRoot x + 4 EndRoot = x StartRoot x squared + 16 EndRoot = x
We have been given an equation [tex]x+4=x^2[/tex]. We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.
Since x is greater than, so we will take positive root on both sides of our given equation as:
[tex]\sqrt{x+4}=\sqrt{x^2}[/tex]
[tex]\sqrt{x+4}=x[/tex]
Upon looking at our given choices, we can see that option C is same as our answer.
Therefore, option C is the correct choice.
Answer: sqrt x +4=^2
Step-by-step explanation:
C in Ed
A garden table and a bench cost $666 combined. The garden table costs $84
less than the bench. What is the cost of the bench?
$
666/2= 333 Divide in half.
333 + 84 = 417 Add 84 to bench since its $84 more.
666 - 417 = 249 Subtract to get value of table.
Therefore, the table costs $249 and the bench costs $417.
Answer:
375
Step-by-step explanation
Because u take the equation and plug in each of the values getting you G+B=666 and then you know that the Garden Table is less than the bench so u plug that in to get B-84+B=666 and then you combine like terms and get 2b-84=666 then you can solve the equations by first adding to even the equation 2b=750 then dividing 2 by 750 to get b=375.
Which of the following measurements is equal to 3 kilograms select all that apply
Answer:
C and D
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation: i searched it up...
I need help with this someone help me out :)
Answer:
18
Step-by-step explanation:
You are a sports reporter interviewing an Olympic swimmer who lost the silver medal by a few hundredths of a
second. Write a one-page interview in which you discuss the meaning of time and the advanced instruments
used to measure time.
Final answer:
Time's accuracy is crucial in sports, and a high school track coach's new stopwatch with an uncertainty of ±0.05 s may not be suitable for distinguishing very close race outcomes, such as those within a few hundredths of a second apart.
Explanation:
Time is a fundamental measurement in athletic competitions, particularly in track and swimming events, where even hundredths of a second can determine the outcome. The precision of time measurements has become increasingly important with the advancement of athletes' abilities, pushing the limits of human performance. In recent history, various advanced instruments have been developed to ensure the accuracy of timing in these competitions.
For instance, a high school track coach who has recently acquired a new stopwatch might find it incredibly useful or not depending on its precision. If the manual states the stopwatch has an uncertainty of ±0.05 s, this could affect the outcome of close races. Given that the top runners on the coach's team regularly clock 100-m sprints with times that may only differ by a few hundredths of a second, this level of uncertainty could be problematic in accurately distinguishing winning times.
Considering a scenario where the first-place sprinter came in at 12.04 s and the second-place sprinter at 12.07 s, the new stopwatch’s uncertainty range may not clearly differentiate between the two, since the difference in their times is within the margin of error of the stopwatch. This is relevant when comparing a sprinter's 100-meter sprint time of 12.04 seconds one week and 11.96 seconds the next week; due to the uncertainty of the stopwatch, we cannot conclusively say that this week's time was faster.faster.
A woman invests $5900 in an account that pays 6% interest per year, compounded continuously,
(a) What is the amount after 2 years? (Round your answer to the nearest cent.)
$
(b) How long will it take for the amount to be $10,000? (Round your answer to two decimal places.)
Xyr
To calculate the amount after 2 years, use the formula for continuous compound interest. To find how long it will take for the amount to be $10,000, rearrange the formula and solve for t.
Explanation:To calculate the amount after 2 years, we can use the formula for continuous compound interest: A = P * e^(rt), where A is the amount, P is the principal, e is Euler's number approximately equal to 2.71828, r is the interest rate, and t is the time in years.
Using the given values, we have A = 5900 * e^(0.06 * 2).
Using a calculator, we can find that A is approximately $6488.85.
To find how long it will take for the amount to be $10,000, we can rearrange the formula and solve for t. In this case, we have 10000 = 5900 * e^(0.06t).
Dividing both sides by 5900 and taking the natural logarithm of both sides, we get ln(10000/5900) = 0.06t.
Using a calculator, we find that t is approximately 3.41 years.
Learn more about continuous compound interest here:https://brainly.com/question/32594953
#SPJ2
Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:
two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18
Identify any values of data that might affect the statistical measures of spread and center.
The females worked less than the males, and the female median is close to Q1.
There is a high data value that causes the data set to be asymmetrical for the males.
There are significant outliers at the high ends of both the males and the females.
Both graphs have the required quartiles.
Question:
1. The females worked less than the males, and the female median is close to Q1.
2. There is a high data value that causes the data set to be asymmetrical for the males.
3. There are significant outliers at the high ends of both the males and the females.
4. Both graphs have the required quartiles.
Answer:
The correct option is;
1. The females worked less than the males, and the female median is close to Q1
Step-by-step explanation:
Based on the given data, we have;
For males
Minimum = 0
Q1 = 1
Median or Q2 = 20
Q3 = 25
Maximum = 50
For females;
Minimum = 0
Q1 = 5
Median or Q2 = 6
Q3 = 10
Maximum = 18
Therefore, the values of data that affect the statistical measures of spread and center are that
The females worked less than the males as such the statistical data for the females have less variability than the males in terms of interquartile range
Also the female median is very close to Q1, therefore it affects the definition of a measure of center.
Answer:
the answer is the second one
Step-by-step explanation:
find the inner product for (7,2) × (0,-2) and state wheter the vectors are perpendicular
Answer:
a. -4
Step-by-step explanation:
a•b = (x1 × x2) + (y1 × y2)
= (7 × 0) + (2 × -2)
= 0 - 4
= -4
Answer:
Step-by-step explanation:
let a=7i+2j
and b=-2j
a.b=(7i+2j).(0i-2j)
=0i-4j
≠0
they are not perpendicular.
7(-5-6j) distributive property
Answer:
-35-42j
Step-by-step explanation:
An Investor who owns stocks in many different companies would mos
O capital gain
bear market
o dividend growth
O bull market
Answer:
bull-market
Step-by-step explanation:
write an equivalent expression for each of the following
If a = 7 and b = 3 evaluate the following expression :
3a - 2b
( if you help with more I’ll mark you as brainliest)
Answer: There is 15
Step-by-step explanation: 3a-2b
21-6=15
A sphere has a radius of 7 millimeters. A second sphere has a radius of 4 millimeters. What is the difference of the volumes of the spheres?
Answer:
Step-by-step explanation:
volume V1=4/3 π(r1)³=4/3 π×7³
V2=4/3 π(r2)³=4/3 π×4³
V1-V2=4/3 π(7³-4³)=4/3π(343-64)
=4/3×π×279
=4π×93
=372π mm³
Are they correlation or causation? Pls answer 4 of them.
Answer:
1. correlation
2. causation
3. causation
4. correlation
5. correlation (depends on the price of the car sold)
6. correlation
7. correlation (it technically is, but your teacher may be looking for causation)
8. correlation
Step-by-step explanation:
Correlation indicates how variables fluctuate together, but causation is a cause-and-effect relationship between variables. Real-world examples often illustrate how a third variable can account for a correlation, emphasizing that correlation does not imply causation.
Explanation:The terms correlation and causation are often used in research to describe relationships between variables. Correlation refers to a statistical measure that indicates the extent to which two or more variables fluctuate together. A positive correlation means that as one variable increases, the other tends to increase as well, and vice versa. Meanwhile, causation, or causality, implies that one event is the result of the occurrence of the other event; there is a cause-and-effect relationship. For causation to be established, certain conditions must be met: the cause must precede the effect in time, the relationship must be plausible, and there must be evidence that the relationship is nonspurious, meaning it is not due to some third, confounding variable.
Real-world examples often show that discerning causation from correlation can be tricky. For instance, higher ice cream sales are correlated with increased drowning deaths, but the common cause is the hot summer season, rather than ice cream sales directly causing drowning. Similarly, the presence of more firefighters at a fire correlates with more fire damage, but the actual cause is that larger fires require more firefighters and inherently cause more damage. In both instances, a third variable explains the correlation without a causal relationship between the primary two variables discussed.
To summarize, while correlation and causation both deal with relationships between variables, they are not the same. Correlation does not imply causation, and careful consideration must be given to establish a true cause-and-effect relationship, ensuring that logical time ordering, mechanism, and nonspuriousness are effectively demonstrated.
The volume of the cone is 50π ft³. The height is 6 ft. What is the radius of the cone?
Answer:
r = 5 feet
Step-by-step explanation:
see attached for reference
recall that volume of a circular cone is given by
V = (1/3) πr²h, where
V = volume = given as 50π ft³
r = radius (we are asked to find this)
h = height of cone = given as 6 feet
Substituting the above known values into the equation:
V = (1/3) πr²h
50π = (1/3) π (r²)(6)
50π = π (r²)(2) (divide both sides by 2)
25π = π r² (divide both sides by π)
25 = r²
r = ±√25
r = ±5 (since radius cannot be negative, we select the positive value
r = 5 feet
An equilateral triangle has a base of 44 meters and a height of h meters. Inside that triangle is constructed a second equilateral triangle of base 22 meters and a height
of 0.5h meters. Inside the second triangle is constructed a third equilateral triangle of base 11 meters and a height of 0.25h meters.
What percent of the area of the largest triangle is the area of the smallest triangle?
% of the area of the largest triangle.
The area of the smallest triangle is
(Type an integer or a decimal)
Answer:
6.25 % of area of Large triangle = area of smallest triangle
Step-by-step explanation:
Area of large triangle L = (1/2)*base*height
L = (1/2)*(44 m)* h
L = 22*h square m.
2nd equilateral triangle area: S =(1/2)*(22 m)*(0.5h)
S = 5.5*h sq. m.
3rd smallest equilateral triangle area : T = (1/2)*(11 m)*(0.25h)
T = 1.375*h sq. m
-----
Find percent P where T = P* L, 1.375*h = P * 22*h
P = 6.25% = 0.0625
Would someone help me with this question please?
Answer:
49
Step-by-step explanation:
Root is the opposite of a power of 2.
Find 7 to the power of 2 to find the number inside:
7^2 = 7 * 7 = 49
49 is your answer, or B)
~
Answer:
49
Step-by-step explanation:
30 is what percent of 180? round your answer to the nearest tenth
Answer:
54
Step-by-step explanation:
this is wrong don't mind it
Answer:
I got 16.7%
Step-by-step explanation:
Which statement is best supported by the table?
Brian's and Kelsey's cars traveled at the same rate.
Kelsey's and Geoff's cars traveled at the same rate. Brian's and Geoff's cars started the same distance from the sensor.
Kelsey's and Geoff's cars started the same distance from the sensor.
Answer:
Option C is the correct answer
Step-by-step explanation:
Brian’s and Geoff’s cars started the same distance from the sensor.
From the given data we get,
time 1s 3s 5s 8s
Brian 34 38 42 48
Kelsey 27 31 35 41
Geoff 27 33 39 48
From the above table we can conclude that Brian’s and Geoff’s cars started the same distance from the sensor.
So the answer is option C
My number rounded to the nearest tenth is 6.4. What might my number be? Justify your answer
|BRAINLIEST|
Rami mixed salt with pepper to make 1/8 pound of a seasoning mixture. Rami then put an equal amount of this seasoning mixture into each of 4 bowls. All of Rami's seasoning mixture went into the bowls.
How much seasoning was in each bowl?
A) 1/128 lb
B) 1/64 lb
C) 1/32 lb
D) 1/8 lb
Answer:
the correct answer is C 1/32 Ib
Step-by-step explanation:
hope it helps
Answer:
C, 1/32
Step-by-step explanation:
I didn't copy I just did the math .-.
I need help! Please answer below on card B
Answer:
X = 12 - Angle EFG = 48
The expression 60 ⋅ 1. 2 t 60⋅1.2 t 60, dot, 1, point, 2, start superscript, t, end superscript models the number of nano-related patents granted in the US as a function of years since 1991 19911991. What does 60 6060 represent in this expression? Choose 1 answer: Choose 1 answer: (Choice A) A The first nano-related patents were granted 60 6060 years before 1991 19911991. (Choice B) B There were 60 6060 nano-related patents granted in 1991 19911991. (Choice C) C The number of nano-related patents granted is multiplied by 60 6060 each year. Show Calculator
Answer:72t
Step-by-step explanation:
Answer:
There were 60 nano-related patents granted in 1991
Step-by-step explanation:
The 60 represents these patents
Which expressions show how to calculate the volume
of this prism? Check all that apply.
2(12 +21+28)
3(4) + 7
3(7)(4)
407)(3)
12(7)
21(28)
7 cm
4 cm
3 cm
Answer:its 3 (7)(4) 4(7)(3) 12(7) i just did it
Answer:
C,D,E
Step-by-step explanation:
A circle has the equation (x−4)2+(y−1)2=34.
What are the coordinates of the center and the length of the radius?
The center is at (4,1), and the radius is 34−−√ units.
The center is at (4,1), and the radius is 34 units.
The center is at (1,4), and the radius is 34 units.
The center is at (1,4), and the radius is 34−−√ units.
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 4)² + (y - 1)² = 34 ← is in standard form
with centre = (4, 1 ) and r² = 34 ⇒ r = [tex]\sqrt{34}[/tex] → A
Final answer:
The equation represents a circle with the center at (4,1) and a radius of 5.83 units.
Explanation:
The center of the circle is at (4,1) and the radius is 5.83 units.
To find the center of the circle, you simply take the opposite of the numbers inside the parentheses of (x - 4) and (y - 1), giving you the center (4, 1). The radius is the square root of the number on the right side of the equation, which is √34 = 5.83 units.