Answer:
23.99
Step-by-step explanation:
Answer:
23.99
Step-by-step explanation:
The volume of a sphere is 4500cm. What is the surface area of the sphere to the nearest whole number?
The surface area of the sphere, to the nearest whole number, is 1318 cm².
How to determine the surface area of a sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
The surface area of a sphere is expressed as:
SA = 4πr²
Where r is the radius of the sphere and π is the mathematical constant pi.
Given that the volume V is 4500 cm³.
First, we solve for the radius:
Volume = (4/3)πr³
4500 = (4/3)πr³
4500 × 3 = 4πr³
13500 = 4πr³
r³ = 13500/4π
r = ∛( 13500/4π )
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
SA = 4πr²
Substituting the radius we found:
SA = 4 × π × ∛( 13500/4π )²
SA = 1318 cm²
Therefore, the surface area is approximately 1318 cm².
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11. What kind of characterization is used in the sentence below? "Margo was extremely shy-she never shared her thoughts with anyone." Oindirect characterization direct characterization sensory characterization Oactive characterization
Answer:
i am pretty sure that it is direct characterization
Step-by-step explanation:
Direct characterization tells readers/audience what the personality of your character is. So, if the sentence says that Margo was extremely shy, then it is telling you about her personality.
Answer:
Direct characterization
Step-by-step explanation:
Direct characterization tells readers/audience what the personality of your character is. So, if the sentence says that Margo was extremely shy, then it is telling you about her personality.
The lengths of angles given represent the sides or angles of a triangle.
Which type of triangle best represents:
5 cm, 10 cm, 12 cm
a
unique triangle
b
many triangles
c
no triangle
Answer:
a.
Step-by-step explanation:
Unique triangle.
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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The temperature at midnight in fairbanks, Alaska, was -7 F. At 6 A.M. ,the temperature had risen 4 degrees. What was the temperature at 6 A.M. ?
Answer:
-3
Step-by-step explanation:
Since it has risen for 4 degrees, we will add 4 to $-7$ and get:
-7+4=-3
leah is making trail mix. the recipe calls for 1 cup granola, 3/4 cup raisins, and 1/3 cup nuts. can she order all the trail mix in a 2-cup container?
(PLSSSS HELP, MY FATE IS IN YOUR HANDS) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.
Answer:
The required points are -
(-2,8), (7,5), (1,7)
24÷30 help plaese now i am desparate thank you
Answer:
Step-by-step explanation:
the answer to your problem is 0.8
Answer:
The answer is 0.8.....................................................
Helppp please on this question
Answer:
Answer h = 34 i hope it is helpful have a nice day
Answer:
h = 34
Step-by-step explanation:
64 = h + 30
64-30 = h
34 = h
h = 34
there are only red counters and blue counters in a bag. Jim takes at random a counter from a bag. the probability that the counter is red is 0.45 Jim puts the counter back into the bag. Molly takes at random a counter from the bag. She puts the counter back in the bag. What is the probability that Jim and Molly take counters of different colours? Give your answer as a decimal
Answer:
0.495 probability that Jim and Molly take counters of different colours
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The probability that the counter is red is 0.45
This means that \(p = 0.45\)
Jim taken a counter, then Molly:
Two trials, so \(n = 2\)
What is the probability that Jim and Molly take counters of different colours?
One red and one blue. So this is P(X = 1).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 1) = C_{2,1}.(0.45)^{1}.(0.55)^{1} = 0.495\)
0.495 probability that Jim and Molly take counters of different colours
You are the coach of the girls’ basketball team at a local middle school. It is the fifth game of the season, the game is tied, and there are only 5 seconds left on the clock. The referee has called a technical foul on the other team. You get to choose any one of your girls to take the shot. Basing your decision only on on their free-throw shooting thus far this season, whom would you pick, Becky or Rachel? Becky has made 8 of 12 free throws. Rachel has made 15 of 20 free throws.
Answer: Becky I guess
Step-by-step explanation:
A parabola opening up or down has vertex
(-4, -6) and passes through (-14, 13/2)
Write its equation in vertex form.
Answer:
To write the equation of the parabola in vertex form, we use the standard form:
y = a(x - h)^2 + k, where (h, k) is the vertex.
Given that the vertex is (-4, -6), we have:
h = -4 and k = -6
Now, we need to find the value of "a" using the point (-14, 13/2) which lies on the parabola.
Substituting the values in the standard form, we get:
13/2 = a(-14 - (-4))^2 - 6
Simplifying, we get:
13/2 = 100a - 6
100a = 13/2 + 6
a = 19/200
Therefore, the equation of the parabola in vertex form is:
y = (19/200)(x + 4)^2 - 6
Step-by-step explanation:
Which ordered pair is a solution to the system of linear equations? x + 4y = 3 y = −4x − 3 (1, 1) (1, −1) (−1, 1) (−1, −1)
Answer:
(-1,1)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
equation form:
x=-1, y=1
have a great day and thx for your inquiry :)
By substituting each of the provided options into the given system of linear equations, it is revealed that the ordered pair (-1, 1) is a valid solution for both the equations.
The correct answer is (-1, 1)
In mathematics, a system of linear equations consists of multiple linear equations with the same variables. These equations describe various relationships among these variables, typically representing lines in a multi-dimensional space. Solving such systems involves finding values for the variables that satisfy all equations simultaneously. Methods like substitution, elimination, or matrix algebra can be used to solve these systems. These systems are fundamental in fields like physics, engineering, economics, and computer science for modeling and solving real-world problems involving multiple interconnected variables.
We can solve this problem by substituting values from the given options into the equations and checking for which option both equations are valid. The system of linear equations is: x + 4y = 3 and y = -4x - 3.
Option (1, 1): For x = 1 and y = 1, our system becomes 1 + 4*1 = 5 and y = -4*1 - 3 = -7. Both do not hold true.Option (1, -1): For x = 1 and y = -1, our system becomes 1 + 4*-1 = -3 and y = -4*1 - 3 = -7. Both do not hold true.Option (-1, 1): For x = -1 and y = 1, our system becomes -1 + 4*1 = 3 (correct) and y = -4*-1 - 3 = 1 (correct). Thus, option (-1, 1) is a solution to the system of equations.Option (-1, -1): For x = -1 and y = -1, our system becomes -1 + 4*-1 = -5 and y = -4*-1 - 3 = 1. Both do not hold true.Therefore, the ordered pair that is a solution to the system of linear equations is (-1, 1).
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Help mee!! please! thank youu!
Answer:
yes, your friend is correct
Step-by-step explanation:
14 x 4 = 56 and 25 x 4 = 100
56
------ = 0.56 in decimal form
100
Norris Company uses the perpetual inventory system and had the following purchases and sales during March.
Using the inventory and sales data above, calculate the value assigned to cost of goods sold in March and to the ending inventory at March 31 using FIFO and LIFO
FIFO
Cost of goods sold: $____
Ending inventory: $____
LIFO
Cost of goods sold: $____
Ending inventory: $____
FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.
To calculate March cost of goods sold we need to add the given data for FIFO =
March cost of goods sold
= (2,800 + 3,700 + 6,550)
= 13,050
To calculate March cost of goods sold we need to add the given data for LIFO =
March cost of goods sold
= (3,400 + 4,400 + 6,800)
= 5,800
Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.
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A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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Brainliest for the correct answer!! A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9
Answer:
B. y = –2.9x + 13.5
Step-by-step explanation:
You can try to use the calculator to determine the best line for the values given; you will se that the calculator form, for the linear function is
y = a + bx, where a is the y intercept and b is the slope.
To determine the slope, we apply a formula, to calculate the product of the two xy and, x², plus the sum of each column.
x y xy x²
1 . 11 = 11 → x² = 1² = 1
2 . 8 = 16 → x² = 2² = 4
3 . 4 = 12 → x² = 3² = 9
4 . 1 = 4 → x² = 4² = 16
5 . 0 = 0 → x² = 5² = 25
Total x = 1 + 2 + 3 + 4 + 5 = 15
Total y = 11 + 8 + 4+ 1 + 0 = 24
Sum of xy = 11 + 16 + 12 + 4 + 0 = 43
Sum of x² = 1 + 4 + 9 + 16 + 25 = 55
n = 5
So b = 5 (43) - (15) . (24) / 5 (55) - 15² = -2.9
a = y media - b . x media → a = 24/5 - (-2.9) . 15/5 = 13.5
Who ever can help me with geometry homework I’ll give brainlist
Answer:
Step-by-step explanation:
Remark
All of the figures below are rectangles. They all use the same formula: Area = L * W, so I won't repeat the formula for every part.
Left cross arm
L = 11 mw = 9 mArea = 11 * 9Area = 99 m^2Right Cross Arm
L = 11 mW= 9 mArea = 11 * 9Area = 99 m^2Top
L = 13 mW = 9 mArea = 117 m^2Middle
L=13 mW = 11 mArea = 143 m^2First bottom Closest to the center.
L = 13 mW = 9 mArea = 117 m^2Second Bottom
L= 13 mW = 11 mArea 143 m^2Total 718 m^2
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
Which station will have to be on the air longer to broad cast 4 minutes of news
The ratio of the music to news broadcasted by the WMTH and WILM radio stations of 20:2 (10:1) and 25:4, indicates that the WMTH radio station that have to be on air for 15 minutes to longer than the WMTH radio station.
What is a ratio?A ratio is an indication of the number of times a quantity is contained in another quantity.
The possible details of the question includes;
The duration of the news the WMTH station schedules for every 20 minutes music = 2 minutes
The ratio of the duration of the broadcast of music to news for the radio station WMTH is 20:2 = 10:1The duration of the news broadcasted by the WILM station for every 25 minutes music = 4 minutes
The ratio of the duration of music to news broadcasted for WILM = 25:4The time after which the WMTH station has broadcasted 4 minutes of news is found as follows;
Sum of the duration = 20 minutes of music + 2 minutes news + 20 minutes music + 2 minutes of news
Sum of the duration for WMTH = 20 + 2 + 20 + 2 = 44
The time it takes WMTH to broadcast 4 minute news = 44 minutesThe time after which WILM has broadcasted 4 minutes news can be found as follows;
Sum of broadcast duration = 25 minutes + 4 minutes = 29 minutes
The time it takes Radio station WILM to broadcast 4 minutes news is 29 minutesTherefore, the station remains on air longer to broadcast 4 minutes news is WMTH
Part of the question obtained from a similar question indicates that the two radio stations WMTH and WILM broadcast music and news in the ratio of 20 minutes per 2 minutes news and 25 minutes per 4 minutes news respectively.
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Need help really bad please and thank you!
Answer:
Step-by-step explanation:
The side opposite the given width of x is also x.
So you have to relate 3 facts.
The angle
The adjacent side
The hypotenuse.
Formula
Cos(28) = x / 35
Solution
Cos(28) = x / 35 Multiply both sides by 35
35 cos(28) = 35 * x / 35 Cancel
35 cos(28) = x Multiply
30.90 = x
Rounded, it is 30.9
Answer:30.9 cm
Step-by-step explanation: =X/35
X= 35 cos 28'
X= 30. 90cm
width 06
Rectangle = 30.9cm
The following data shows the ages of a students in a Macroeconomics Class. 18 21 33 18 19 19 22 20 19 45 18 19 19 22 19 23 24 18 19 25 21 19 18 20 18 18 21 59 18 17 1. Construct a frequency distribution of the above data using the intervals: O<10, 10<20, 20<30, 30<40, 40<50, 50<60 2. Construct a histogram from the above distribution. (Label your axes). 3. Construct a frequency polygon from the above distribution. (Label your axes) (Combine with #2). 4. Construct a relative frequency distribution from the data. (Label your classes.) 5. Construct a pie chart to illustrate #4. (Label each section of the pie).
A pie chart can be created by representing the relative frequency distribution data as a circle, where each interval is represented as a slice with the size proportional to its relative frequency.
Frequency distribution:
O<10: 0
10<20: 8
20<30: 4
30<40: 2
40<50: 1
50<60: 1
The histogram can be created by plotting the frequency distribution data on a bar graph where the x-axis represents the intervals, and the y-axis represents the frequency count.
The frequency polygon can be created by plotting the midpoints of the intervals on the x-axis and the frequency count on the y-axis, and connecting the plotted points with line segments.
The relative frequency distribution can be calculated by dividing the frequency count of each interval by the total number of observations and multiplying by 100.
O<10: 0/20 x 100 = 0%
10<20: 8/20 x 100 = 40%
20<30: 4/20 x 100 = 20%
30<40: 2/20 x 100 = 10%
40<50: 1/20 x 100 = 5%
50<60: 1/20 x 100 = 5%
The sizes of the slices can be labeled to represent the corresponding percent of total observations.
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how do you solve this as a solution 9(2 + 3x) < 72
Answer:
x <2
Step-by-step explanation:
9(2 + 3x) < 72
Divide each side by 9
9/9 *(2 + 3x) < 72/9
2+3x < 8
Subtract 2 from each side
2+3x-2 < 8-2
3x<6
Divide each side by 3
3x/3 <6/3
x <2
What is the value of 55 x 2 ÷ 11 - 10
A) 0
B) 1
C) 9
D) 27.5
Answer: 0
Explanation: Divide 2 and 11, and you get 2/11 and multiply that with 55 you get 10 and 10 - 10 equals 0! ^^
what shows the equation written in form ax^2+bx+c=0? x^2+6x+8=3
Answer:
\(x^2+6x+5=0\)
Step-by-step explanation:
Hi there!
\(ax^2+bx+c=0\\x^2+6x+8=3\)
Subtract 3 from both sides to equate the right side to 0
\(x^2+6x+8-3=3-3\\x^2+6x+5=0\)
I hope this helps!
Find the sum: 2.234 + 0.01
Answer:
The sum of 2.234 and 0.01 is 2.244.
Step-by-step explanation:
The 0.01 is in the hundredths place, so just add 1 to the number in the hundredths place of 2.234, to make it 2.244.
BRAINLIEST (statistics) (please help fast)
As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the IQR of the data?
1
1.53
2
5
Step-by-step explanation:
first find the median (middle value) of the lower and upper half of the data. these values are quartile 1 (Q1) and quartile 3 (Q3). the IQR is the difference between Q3 and Q1.
first sort the data low to high.
the median of the whole data set is 4.
1, 4, 4, 4, 4, 5, 6
the lower half is
1, 4, 4
the upper half is
4, 5, 6
the median of the lower half is 4
1, 4, 4
the median of the upper half is 5
4, 5, 6
the IQR is then
5 - 4 = 1
Answer:
A) 1Step-by-step explanation:
Given data:
1, 4, 4, 4, 4, 6, 5We need to find the IQR of data.
What is the IQR:
IQR is the difference of medians of upper and lower halves of the data.or
IQR = Q3 - Q1Find Q3 and Q1:
Q3 = 5, since upper half consists of 4, 5, 6.Q1 = 4, since lower half consists of 1, 4, 4.Find the IQR:
IGR = 5 - 4 = 1Correct choice is A
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answer:
90 berries
Step-by-step explanation: