Answer:
(0,5)
Step-by-step explanation:
5^1=5, meaning that the y coordinate y-intercept is 5. Therefore, the y intercept is (0,5). Hope this helps!
If a sphere’s surface area is doubled, what is the corresponding change in radius?
Answer:
The radius has an increase of 41.4%
Step-by-step explanation:
We have that the surface area formula is equal to:
a = 4 * pi * r ^ 2
in this case if you assume an area of 100 and we calculate the radius it would be:
100 = 4 * pi * r ^ 2
we solve for r:
r ^ 2 = 100/4 * pi
r ^ 2 = 100 / (4 * 3.14)
r ^ 2 = 7.9617
r = 2,822
now if we double the area, that is 200:
r ^ 2 = 200 / (4 * 3.14)
r ^ 2 = 15.9236
r = 3,990
So the change of the radius would be:
3.99 / 2,822 = 1,414
That is to say that the radius has an increase of 41.4%
A pizza with radius 7 in. is cut into 12 equal-sized pieces. What is the area of each piece? Round to the nearest hundredth of an inch.
Each pizza slice has an area of approximately 12.82 square inches, rounded to the nearest hundredth.
To find the area of each pizza slice, we first need to find the total area of the pizza and then divide it by the number of slices.
The formula for the area of a circle is [tex]\( A = \pi r^2 \)[/tex], where [tex]\( \pi \)[/tex] is approximately 3.14 and r is the radius of the circle.
Given that the radius of the pizza is 7 inches, we can calculate the total area of the pizza:
[tex]\[ A_{\text{total}} = \pi \times (7)^2 \]\[ A_{\text{total}} = 3.14 \times 49 \]\[ A_{\text{total}} \approx 153.86 \text{ square inches} \][/tex]
Now, to find the area of each pizza slice, we divide the total area by the number of slices (12):
[tex]\[ A_{\text{each slice}} = \frac{A_{\text{total}}}{12} \]\[ A_{\text{each slice}} \approx \frac{153.86}{12} \]\[ A_{\text{each slice}} \approx 12.82 \][/tex]
So, the area of each pizza slice is approximately 12.82 square inches.
A shipment to a warehouse consists of 2250 MP3 players. The manager chooses a random samle of 50 MP3 players and finds 6 that are defective. How many MP3 players in the shipment are likely to be defective?
Answer:
350
Step-by-step explanation:
Gimmie brainliest plzzz <3
Geometry Question Help please
Answer:
<EAD = 31*
Step-by-step explanation:
Because, <CAB is similar in angle measurement
Find m<1.
A.30
B.35
C.40
D.55
Answer:
m <1 = 30
Step-by-step explanation:
The sum of the angles of a triangle add to 180
Let x be the unknown angle
75+75+x = 180
Combine like terms
150+x =180
Subtract 150 from each side
150-150+x = 180-150
x = 30
What are the three ways a translation could be written?
A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the
radius of the base is 120 feet, the height of the roof is 25 feet, and the height of the entire silo is 130
feet.
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:
[tex]V = \pi r^2h + \frac{1}{3} \pi rH[/tex]
where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:
[tex]V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3[/tex]
The volume of the silo is 5127079.21 cubic feet.
Find the mean, median, mode, and range for the numbers 17, 22, 34, 3, 16, 16, 24, 55, 18, 3, 16, 12, and 18
Answer:
mean = 19.54
median = 17
mode 16
range 52
Step-by-step explanation:
17, 22, 34, 3, 16, 16, 24, 55, 18, 3, 16, 12, and 18
First put the numbers in order from smallest to largest
3, 3, 12, 16, 16, 16,17,18, 18,22,24, 34, 55
The mean is where you add up all the numbers and divide by the number of numbers
(3+ 3+ 12+ 16+ 16+ 16+17+18+ 18+22+24+ 34+ 55)/13
254/13
19.53846154
mean = 19.54
The median is the middle number
Since there are 13 numbers the middle number is 13/2 = 6.5 which rounds to 7
The 7th number is 17
median = 17
Mode is the number that appears most often
16 appears 3 times which is more often than any other number
mode 16
The range is the largest number minus the smallest number
55-3 = 52
range = 52
to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 how many students attended the dance
Answer:
82 students
Step-by-step explanation:
The total number of students who attended the dance can be found by subtracting the initial rental cost from the total cost, and then dividing this amount by the cost per student. The number of students who attended the dance was 82.
Explanation:This problem can be solved with a little bit of algebra. The initial cost of the building was $120, and there was an additional cost of $2.50 for each student who attended. The total cost was $325. Therefore, in order to determine how many students attended the dance, you would first need to subtract the initial cost of the building from the total cost. This leaves us with $325 - $120 = $205.
Next, you would divide this amount by the cost per student. $205 ÷ $2.50 = 82.
Therefore, the number of students who attended the dance was 82.
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A cyclist rides her bike at a rate of 9 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the cyclist travel in 2 minutes
Answer: 0.15km/min and 0.3km in 2 mins
Step-by-step explanation:
Given Data:
Cyclists speed = 9km/hr
1. Some traveling 60 km/h is traveling one km/min
60/60= 1 km/min
Rate in km/min
= 9km/hr / 60min
= 3/20 km/min
= 0.15 km/min
Kilometers travelled in 2mins
= 2 / 60
= 1 / 30
= 9km/hr * 1 / 30
= 9 / 30
= 0.3 km in 2mins
Answer:
Rate(in km/min) = 0.15 km/min
Distance traveled in 2 mins = 0.3 km
Step-by-step explanation:
Rate = 9 km/hr
1 hr = 60 mins
In 60 minutes, the cyclist rides 9 km
in 1 minute, the cyclist will ride 9/60 km
Therefore, the rate in km/min = 9/60 km/min
Rate(in km/min) = 0.15 km/min
Since the cyclist rides 0.15 km in 1 min,
In 2 mins, the cyclist will ride 0.15 * 2 km = 0.3 km
Distance traveled in 2 mins = 0.3 km
Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
sets shown are true?
City A
City B
City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B.
City Ais likely to have temperatures that remain fairly constant year round because it has a compact interquartile range
compared to that of City B.
Multi choice question hellllppppp
Answer:
we need the data to answer the question
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Answer:
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
OR x^9/(∛y)
Step-by-step explanation:
Given the indicinal equation
(x^27/y)^1/3
To find the corresponding expression, we will simplify the equation as shown:
(x^27/y)^⅓
= (x^27)^⅓/y⅓
= {x^(3×9)}^⅓/y⅓
= x^9/y⅓
= x^9/(∛y)
The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
Jane earns money walking dogs on the weekends. Jane charges $5 dollar sign, 5 for each dog she walks.
Complete the table for the given ratio.
Dogs Charge in dollars.
1 5
3 ?
5 ?
FIND THE ?
HURRY UP I HAVE 1 MINUTE TO SOLVE THIS
Answer:
3 dogs, $15
5 dogs, $25
Step-by-step explanation:
Jane charges $5 per dog.
When she walks 3 dogs ;
1 dog = $5
3 dogs = x
x × 1 dog = $5 × 3 dogs
x= $5 × 3 dogs/ 1 dog
x= $5 × 3 = $15
When Jane Walks 5 dogs she receives,
y= $5 × 5
y= #25.
For 3 dogs, Jane would charge $15. For 5 dogs, she would charge $25. You find these amounts by multiplying the number of dogs by the charge per dog, which is $5.
Explanation:Since Jane charges $5 for each dog she walks, you can find the charge for any number of dogs by multiplying the number of dogs by 5.
For 3 dogs, she would charge $15 (3 dogs x $5 per dog = $15).
For 5 dogs, she would charge $25 (5 dogs x $5 per dog = $25).
So, the completed table would look like this:
Dogs | Charge in dollars
1 |$5
3 |$15
5 |$25
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A water balloon is shot into the air with an upward velocity of 95 ft/s. The balloon is released 12 feet above the ground. Write a function that represents the height h of the balloon in feet after t seconds. How long will it take the balloon to reach its maximum height? What will the maximum height be? (ALL ANSWERS SHOULD BE EXPRESSED TO THE NEAREST HUNDREDTH.)
Function: ____________________
Time to reach the maximum height: ___________________
Maximum Height: ______________________
Approximately how many whole seconds will it take to hit the ground?: _________________
Answer:
1. h = h₀ + u×t - 1/2×g×t²
2. 2.95 s
3. 152.14 ft
4. 3.07 s
Step-by-step explanation:
The given parameters are;
Vertical velocity of the balloon = 95 ft/s
Height from which the balloon is released = 12 feet
The function is h = h₀ + u×t - 1/2×g×t²
Where:
h = Height of the balloon at time t
h₀ = Initial height of the balloon = 12 feet
u = Initial upward velocity of the balloon = 95 ft/s
t = Time duration of motion
g = Acceleration due to gravity = 32.2 ft/s²
2. The time to maximum height is found from;
v = u - g·t
Where:
v = Final velocity = 0 m/s at maximum height
∴ 0 = 95 - 32.2 × t
32.2·t = 95
t = 95/32.2 = 2.95 s
Therefore, the time it will take to reach maximum height = 2.95 s
3. From h = h₀ + u×t - 1/2×g×t², we have;
h = 12 + 95×2.95 - 1/2×32.2×2.95² = 152.14 ft
4. Therefore;
152.14 = 0×t + 1/2 × 32.2 × t²
t² = 152.14/16.1 = 9.45 s
t = √9.45 = 3.07 s
Answer:
The function is: y(t) = 12 + 95*t - 16.085*t²
The time it'll take to reach the maximum height is: 2.95 s
The maximum height is: 152.27 ft
The time it'll take to hit the ground is: 12 s
Step-by-step explanation:
The water ballon is under the constant acceleration of gravity, therefore it's movement can be modelled by the equations that describe constant acceleration movement, as shown below:
y(t) = y(0) + v(0)*t - 0.5*g*t²
The acceleration is negative, because they are contrary to the movement. Applying the data form the problem, we have:
y(t) = 12 + 95*t - 0.5*32.17*t²
y(t) = 12 + 95*t - 16.085*t²
This equation describes a parabolla, therefore the time at which it achieves the maximum height is the "x" coordinate for the vertex, which can be found by using the formula below:
t = (-b)/[2*a]
t = (-95)/[2*(-16.085)] = -95/(-32.17) = 2.95 s
And the maximum height is:
y(2.95) = 12 + 95*2.95 - 16.085*(2.95)² = 152.27 ft
The time it'll take to reach the ground is:
y(0) = 12 + 95*0 - 16.085*(0)² = 12 s
Plsss help me !!! 10 points giving for answer
Answer:
D
Step-by-step explanation:
each one can be multiplied by 4 to get the cost
Select Not independent or Independent for each situation. (3)
A spinner is divided into three equally sized sections. The spinner is spun three times.
A number cube is rolled twice.
A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.
Answer:
A spinner is divided into three equally sized sections. The spinner is spun three times.
independent, since the outcome is not affected by previous spins.
A number cube is rolled twice.
independent, since the outcome is not affected by previous rollings.A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.
not independent, since the new outcome depends on the balls that were drawn before.Step-by-step explanation:
The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.
The outcome from independent variable is not affected by old outcomes or actions, while the outcome of dependent variables is affected by old outcomes or actions.
What is Independent Variable?An independent variable is exactly when it sounds like. It is a variable that stands alone, changed by the other variables you are trying to measure.
A spinner is divided into three sections. The spinner is spun three times.
a. independent, since the outcome is not affected by previous spins. A number cube is rolled twice.
b. independent, since the outcome is not affected by previous rolling.
c. not independent, since the new outcome depends on the balls that were drawn before.
Thus, the outcome will be an independent variable which is not affected by previous outcomes.
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How many 2/3 cup servings are in an 8-cup container of juice?
Help please
You can get 12 servings of 2/3 cup each from an 8-cup container of juice. You find this by dividing the total volume (8 cups) by the volume of each serving (2/3 cup).
Explanation:To find out how many 2/3 cup servings you can get from an 8-cup container of juice, you simply divide the total volume by the volume of each serving.
In this case, you divide 8 (the total volume) by 2/3 (the volume of each serving). Here are the step-by-step calculations:
Write 8 as a fraction, which becomes 8/1.Divide by 2/3, which in practice means multiplying 8/1 by the reciprocal of 2/3, which is 3/2.When you multiply 8/1 by 3/2, you get 24/2, which simplifies to 12.So, you can get 12 servings of 2/3 cup each from an 8-cup container of juice.
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the formula for exponential decay is y=a(1-r)^t, where a is the initial amount, r is the rate of decay and t is the number of intervals. use the formula to determine the answer to the following problem.
on wednesday your science teacher gives you a list of twenty five terms to be memorized. you memorize all of them wednesday night and do not look at the list again. if you forget 5% of the list each day, how many terms will you remember seven days later for the chapter test?
What is the range of the data below? A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 52 to 93, and the box ranges from 60 to 89. A line divides the box at 82. 22 28 41 42want you inside now! LAURIE I walked down to the beach.
Answer:
42
Step-by-step explanation:
the is range is 42
Answer:
42
Step-by-step explanation:
Determine what type of model best fits the given situation:
A retirement account is expected to grow by 15% each year.
A. none of these
B. exponential
C. quadratic
D. linear
Answer:
I believe it is linear
Step-by-step explanation:
because if you are talking about percentage then it should be done on a linear graph so therefore i believe the answer is linear..................if i am incorrect i am very sorry but i believe i am correct.
Answer: Quadratic
Step-by-step explanation: I took the test
Can someone please help me with this
Answer:
12 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a=16
b=?
c=20
16^2 + b^2 = 20^2
256 + b^2 = 400
400 - 256 = b^2
144 = b^2
Square root 144 = b
12 = b
Help!!
Find the area of the figure and type your result in the box.
4cm
4cm
Use pi*= 3.14
Answer:
22.28
Step-by-step explanation:
I need help ASAP! Tysm
Step-by-step explanation:
solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x≤193x≤193
Interval Notation:
(−∞,193]
HELP!! ASAP!!! PLEASE!!!!!!
Answer:
It's 38
Step-by-step explanation:
I I don't know oh my God your thing is showing
Answer:
w = 8.
Step-by-step explanation:
Can't explain again did it in my head. :/
Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.1 inches. If an image is 19 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.
Final answer:
To find the width of the image on the tablet, set up a proportion using the diagonals of the computer monitor and the tablet. Solve for the unknown width using cross multiplication.So,on tablet it would be 0.84mm.
Explanation:
To determine the width of the image on the tablet, we can use a proportion based on the diagonals of the computer monitor and the tablet. The proportion can be set up as follows:
Computer Diagonal / Tablet Diagonal = Computer Width / Tablet Width
Substituting the given values, we have:
21 inches / 9.1 inches = 19 centimeters / x
Cross multiplying and solving for x, we get:
x = (9.1 inches * 19 centimeters) / 21 inches
Converting the units, the width of the image on the tablet should be approximately 8.43 centimeters=0.84mm
What did you include in your response? Check all that apply.
The boycott ended segregation on Montgomery buses.
The boycott led to violence against African Americans in Montgomery.
The boycott showed African Americans that they had some support in the white community.
The boycott provided a sense of personal power to African Americans.
The boycott gave national attention to the civil rights movement.
Answer:
the 1st and 3 and 2end one its the right one
Step-by-step explanation:
Answer:
its the first three answers :)
Step-by-step explanation:
Jonas practices guitar 1 hour a day for 2 years. Bradley practices the guitar 2 hours a day more than Jonas. How many more minutes does Bradley practice the guitar than Jonas over the course of 2 years?
Answer:
Bradley practice 109500 more minutes than Jonas over the course of 2 years.
Step-by-step explanation:
Jonas practices guitar 1 hour a day for 2 years.
1 year = 365 days
2 years = [tex]365 \times 2 = 730 days[/tex]
1 hour = 60 minutes
So, Jonas practice for 60 minutes in 1 day
Jonas practice for minutes in 365 days =[tex]365 \times 60 =21900 minutes[/tex]
Bradley practices the guitar 2 hours a day more than Jonas.
So, Bradley practice the guitar for hours per day = 2+1=3 hours
3 hours = 3 \times 60 = 180 minutes
Bardley practice for minutes per day = 180 minutes
Bardley practice for minutes for 730 days = [tex]180 \times 730 =131400 minutes[/tex]
Difference in minutes in 2 years = 131400-21900=109500 minutes
Hence Bradley practice 109500 more minutes than Jonas over the course of 2 years.
Identify the conic that is formed by the intersection of the plane described and the double-napped cone.
The plane intersects one nappe and is parallel to n.
What is the conic section formed?
A. ellipse
B. hyperbola
C. parabola
Answer:
C. Parabola
Step-by-step explanation:
A line parallel will cut only one cone (upper or lower cone, not both) making it a parabola
Which is equivalent to (3/125)*?
Answer:
The answer is A as when simplified the number is 125^x/3
and the only one taht represents this is a
Finn started a savings account with $5,000 and earns 3% simple interest for 5 years. How much interest will be earned over the 5 years? a) 15,000 b)759 c)3000 d)5015
Answer:
the answer is b. (since you accidentally typed 759 not 750)
Step-by-step explanation:
The formula for simple interest is
A = P (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
and the interest is going to be 750 after you plug it in, they are not asking for the amount of money total, but the amount of interest earned.
3 percent simple interest for 5 years means you are getting 0.03 percent of money from the 5,000 initial value and for 5 years. The total interest is $750.
I hope this helped! :)