Donna is participating in a 6-day cross-country biking challenge. She biked for 51, 62, 61, 47, and 63 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 56 miles per day?
Answer:
52 miles
Step-by-step explanation:
total miles needed to average 56
56 * 6 = 336
miles after 5 days
51 + 62 + 61 + 47 + 63 = 284
miles needed on last day
336 - 284 = 52 miles
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Slope=-3/4
Step-by-step explanation:
The slope is the rise/run or y/x
Points given for A are (-4, 3), for B (4, -3)
The formula for slope is m=y^2-y^1/x^2-x^1
https://calcworkshop.com/graphing-linear-equations/slope-formula/
So we'll plug in the information given into the formula.
-4-4/3--3
-8/3+3
-8/6
so our slope is m=-3/4
The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6 cm2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 15 cm long.
Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
(8 × 2) × 5 = 8 × (2 × 5)
Answer:
3 1/5
Step-by-step explanation:
WILL GIVE BRAINLIEST + MAX POINTS!!!
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
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Answer:
heyy i did this problem a while ago and got kinda stuck on it
If a right circular cylinder and oblique cylinder both have a height of 19
inches and diameter of 10 inches, do they have the same volume? (Use
T = 3.14)
Answer:
Yes.
Step-by-step explanation:
The diameters are the same so the radii are the same also.
The volume of both is 3.14r^2h.
The radius r and height h is the same for both cylinders.
The volume = 3.14 * 5^2 * 19 = 1491.5 in^3.
what is the scientific notation if 36000x10^-8?
Answer:
3.6 * 10^-4
Step-by-step explanation:
36000x10^-8
The number must be between 1 and 10
36000.
Move the decimal 4 places to the left, so add 4 to the exponent
3.6 * 10^(-8+4)
3.6 * 10^-4
Answer:
the scientific notation of
[tex] 36000×10^{-8}=36000/100000000=3.6×10^{4}/10^{-8}[/tex]
[tex]=3.6×10^{4-8}=3.6*10^{-4}[/tex]
Factor out the greatest common factor from the terms of the polynomial 2x3 − 5x2 + 25
Answer:
2x³ -5(x²-5)
Step-by-step explanation:
2x3 − 5x2 + 25
=2x³ -5x²+25
=2x³ -5(x²-5)
What is the volume of the cube shown below? V = s×s×s
What is the image of F for a dilation with center (0, 0) and a scale factor of 10? (−30, −30) (30, 30) (30, −30) (−30, 30)
Answer: (-30,30)
Step-by-step explanation:
f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc
find the real number X and y such that 3x + 2iy ix+ 5y = 7+5i
Answer:
y=8 and x =-11
Step-by-step explanation:
kinda confused by the setting of the question
but i used this form ; 3x + 2iy+ xi + 5y = 7 + 5i instead of 3x+2iy xi+5y =7+5i
Then ;
you compare
3x + 5y =7....... equation 1
2iy + xi = 5i. ( cancel out i)
u get ; 2y + x =5 .......equation2
solve simultaneously by substitution method
giving u y=8
put value of y into equation 2 and get x=-11
hope that helps
Help??? Please? I need to pass.
Answer:
(x-8.5)2=81.25
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.
20.00 = c + 9.79
What is the value of c, and what does it represent in this problem?
Answer:
10.21 and it represents positive credit
Step-by-step explanation: hope this helps <3
Find the volume of this prism.
9 cm
12 cm
6 cm
Help pls
Answer:
324 cm^3
Step-by-step explanation:
Volume = l x w x h / 2
V = 12 x 6 x 9 / 2
V = 648 / 2
V = 324 cm^3
Answer:
V = 324 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of triangular end × length
A of triangle = [tex]\frac{1}{2}[/tex] × 6 × 9 = 3 × 9 = 27 cm² , then
V = 27 × 12 = 324 cm³
The following scatter plot represents the number of views a video gets each day.
(b) Use a graphing calculator or other technology to write a regression equation to model the data.
(c) A video is considered viral if it receives more than three million views by the time it has been posted for 10 days. Use the model from Part (b) to determine if the video will receive enough views to be considered a viral video. Show your work.
Answer:
y = 1.0535(4.9512)^x
It can be considered a viral video
Step-by-step explanation:
Using the exponential regression calculator, the regression model obtained is :
y = 1.0535(4.9512)^x
Using the model, we can determine if a video can be considered viral ;
Number of days, x = 10
y = 1.0535(4.9512)^10
y = 1.0535(8853290.1338)
y = 9,326,941.15
Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.
8(2x - 7) = 8 how to show work
Step-by-step explanation:
8(2x-7) =8
16x - 56 = 8
16x = 64
x = 4
1). Distribute 8 and multiply.
2). Add 56 to both sides.
3). Divide both sides by 16.
Let me know of you have any questions!
Answer: Divide both sides by 88.
2x-7=1
2x−7=1
2 Add 77 to both sides.
2x=1+7
2x=1+7
3 Simplify 1+71+7 to 88.
2x=8
2x=8
4 Divide both sides by 22.
x=\frac{8}{2}
x=
2
8
5 Simplify \frac{8}{2}
2
8
to 44.
x=4
x=4
Step-by-step explanation:
I need the answer fast pls
Answer:
I think D
Hope this helps!!
I really need help on this if someone knows the answer pls help
Answer:
14.75
Step-by-step explanation:
x = 1*1*0.5 = 0.5
y = 1.5*1.5 = 2.25
g = ((2.5+1.5)\2) * 2 = 4
t = 4*2 = 8
total = 0.5 +2.25 +4 +8 - 14.75
So what would be the answer?
Answer:
i
Step-by-step explanation:
Answer:
did you forget a picture?
Step-by-step explanation:
if you did, either add it in the comments, or make a new question
When traveling from air to a solid, what would you expect a sound wave to do?
fluctuate speed
stay the same speed
speed up
slow down
Answer:
the answer is a
Step-by-step explanation:
PLEASE HELP) Given the function ƒ(x) = x and the function g(x) = x – 4, what does the –4 do to the graph of ƒ(x) to get the graph of g(x)?
Answer:
C. Translates the graph 4 units downwards
Step-by-step explanation:
The -4 is the y-intercept which brings the graph down four units
In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
What is function?Function is relationship between two or more that are variables that are expressed in equal to form. In a function each value of x must have a corresponding value of y which is known as codomain of function.
How to find function?In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 decreases the value of function by 4 units and because the y axis is vertical line. So the value which is -4 pulls the function downwards by 4 units and this process is known as translation.
Hence in the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
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The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 1,024 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
The area of the screen at AT&T Stadium is 4,480 square feet.
Step-by-step explanation:
Given that the screen at Dallas' AT&T Stadium is 175 feet wide, and a movie theater screen with similar dimensions is 40 feet wide with a screen area of 1,024 ft², to determine what is the area of the screen at AT&T Stadium the following calculation must be done:
40 = 1,024
175 = X
175 x 1,024 / 40 = X
179,200 / 40 = X
4,480 = X
Thus, the area of the screen at AT&T Stadium is 4,480 square feet.
What is another way to write 5/5? *
Answer:
Hello! answer: 1
Step-by-step explanation:
5/5 is 1 whole so you could write it as 1 because 5/5 is worth 100%
The degree of the polynomial 10x^3 + 2x^m y - 4y is 3. What is the value of m?
A.) 1
B.) 2
C.) 3
D.) 4
Answer:
1
Step-by-step explanation:
x is 1 and y is 1 and the total is three so 1
A family will travel 225 miles
from their house in order to reach
Austin, Texas. Which inequality
can be used to find all possible
values of t, the time it will take
this family to reach Austin in
hours, if they travel at an average
speed of at least r miles per hour?
Answer:
t ≤ 225r
Step-by-step explanation:
Distance = 225 miles
Time taken = t
Average speed = r miles per hour
Recall :
Speed = distance / time
Time, = distance / speed
t = 225 miles / r
All possible values of t :
t ≤ 225r
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6. Find the probability that the number of major hurricane to strike U.S mainland in any any give year is: a) Exactly one b) At most one c) More than one
Answer:
a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
Step-by-step explanation:
We have the mean during an interval, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.
This means that [tex]\mu = 0.6[/tex]
Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:
a) Exactly one
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) At most one
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878[/tex]
0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) More than one
This is:
[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122[/tex]
0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
What is the surface area of the sphere below?
5
O A. 125r units2
B. 100% units2
C. 125% 3 units2
D. Cannot be determined
The surface area is B
If ß is the small angle is a 3-4-5 right triangle, then sin ß = ?
Answer:
sin β = sin(36.87) ≈ -0.73733168456
Step-by-step explanation:
The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.
Match each pair of Lines to the correct description
parallel lines
EP and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD
Answer:
Parallel = AB and CD
Perpendicular = EF and CD
Neither: GH and EF
Step-by-step explanation:
Parallel lines will go on forever without touching, they are aligned with each other.
Perpendicular lines intersect with 4 right angles
The Parallel lines are AB and CD and Perpendicular lines are EF and CD.
It is required to find the solution.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The given figure shown as four lines are given AB , CD ,EF , CD ,GH and EF.
According to given question we have
Parallel = AB and CD
Perpendicular = EF and CD
Neither parallel nor perpendicular lines: GH and EF
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions
Perpendicular lines are lines that intersect at a 90-degree angle.
Therefore , the Parallel lines are AB and CD and Perpendicular lines are EF and CD.
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PLEASE HELP I CAN'T FAIL THIS!!!
What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
3,4 by feet by feet and abroad ahed