Answer:
8 meters.
Step-by-step explanation:
Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π
π x^2 + π 4x^2= 80π
x^2 + 4x^2= 80
5x^2 = 80
x^2 = 16
x = 4.
So the radius of the larger circle = 2*4 = 8 m.
When sally went bowling her scores were 108,72, and 95 what score will she need to get an average of 91? PLS HELP!
The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.
Answer:
152 inch
Step-by-step explanation:
The dimensions of tha coffee table are .
The perimeter of a rectangle is defined as , where is the length and is the width.
So, by given we have
If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have
The perimeter of the coffee table is 152 inches.
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
Here is how it is graphed:
Which equation has a graph that is a parabola with a vertex at (–2, 0)?
y = –2x2
y = (x + 2)2
y = (x – 2)2
y = x2 – 2
Comparing to the standard equation, the parabola with a vertex at (-2,0) is given by:
y = (x + 2)²
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, we have that h = -2 and k = 0, and all the options have leading coefficient a = 1, hence the equation is:
y = (x + 2)²
More can be learned about the equation of a parabola at https://brainly.com/question/17987697
Answer:
B. y = (x + 2)2Dairy Queen has been analyzing their sales and profit records. They came up
with the following equations:
A. The function below shows Profit, P, as a function of the cost of a blizzard x.
P(x) - 65(x - 4) + 1000
=
1. At what prices would Dairy Queen earn zero profit?
2. How should Dairy Queen price their blizzards to maximize profits?
3. What is their estimated maximum profit?
4. Sketch a graph and make sure to label the x and y axis.
The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions
Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
The price that gives zero profitThe function is given as:
P(x) = -65(x - 4)² + 1000
At zero profit, P(x) = 0
So, we have:
-65(x - 4)² + 1000 = 0
From the graph of the function (see attachment), we have:
x = 0.078 and x = 7.922
Hence, the prices that give zero profit are 0.078 and 7.922
How to maximize profits?To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit
The estimated maximum profitWe have:
P(x) = -65(x - 4)² + 1000
A quadratic function is represented as:
P(x) = a(x - h)² + k
Where:
Vertex = (h,k)
So, we have:
h = 4 and k = 1000
Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
Read more about quadratic functions at:
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find the range of the given data 8,9,7,11,18,13
Answer:
range = 11
Step-by-step explanation:
the range is the difference between the largest and smallest value in the data set.
largest value = 18 , smallest value = 7 , then
range = 18 - 7 = 11
11 is the range of the data 8,9,7,11,18,13
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data is 8,9,7,11,18,13
Eight comma nine comma seven comma eleven comma eighteen comma thirteen.
The range in statistics for a given data set is the difference between the highest and lowest values.
Largest value is 18
Lowest value is 7
Range=Largest value-Lowest value
=18-7
=11
Hence, 11 is the range of the data 8,9,7,11,18,13
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bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes
We will see that the distance between the home and the school is 0.5 miles.
How far from home is their school?We know that they meet in school after 10 minutes.
So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).
This will be:
3 miles per hour *10 minutes.
Note that the units are different, so we write 10 minutes in hours.
1 hour = 60 min.
(1/ 60) hour/min = 1.
Then:
10 min = 10 min*(1/ 60) hour/min = 0.167 hours.
Now we can find the distance to their school as:
D = 3 mi/h*0.167 h = 0.5 miles.
If you want to learn more about speed, you can read:
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Answer:
2.5 miles
Step-by-step explanation:
big brain
Find the slope of the line that passes through the following points. (-3,0) (3, 2)
Answer:
slope: 1/3
Explanation:
[tex]\sf \boxed{\sf slope: \sf \frac{y_2-y_1}{x_2-x_1} }[/tex] where (x1, y1), (x2, y2)
Solve for slope:
insert values
[tex]\rightarrow \sf \dfrac{2-0}{3-(-3)}[/tex]
remove brackets
[tex]\rightarrow \sf \dfrac{2}{3+3}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{2}{6}[/tex]
final answer
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer:
the slope of the line passing through (-3,0) (3,2) is 1/3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run. m=change in y/change in x. The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=y2-y1/x2-x1. Substitute in the values of x and y into the equation to find the slope. m=2−(0)3−(−3)m=2-(0)3-(-3) Simplify. m=13
State if the two triangles are congruent. If they are, state how you know.
options:
Yes, by SAS
Yes, by SSA
Yes, by AAS
No, not enough information
Answer:
its SAS because u can look at the triangle by the sides and angle
Step-by-step explanation: mark brainliset
А.
8
В B.
7
D
=
CD = [?]
Enter the number that belongs in
the green box.
Answer:
8
Step-by-step explanation:
Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.
AB=CD
Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.
Answer:
D.
Step-by-step explanation:
Momentum(p) is Mass(m) times Velocity(v) or p = mv
The results of the calculations are attached. 0.4 kg at 2 m/s has the most momentum: 0.8 kg*m/s
John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *
Answer:
330.05
Step-by-step explanation:
because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05
BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)
Answer:
hey there!
Step-by-step explanation:
your answer should be the first one (0,4 and 2,0)
hope its help yayayayayou
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
Learn more about the sine function with time here;
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Answer:
B
Step-by-step explanation:
The table below shows the number of people that attended a family reunion each year. (Need help ASAP)
The table of attendees in the family reunion is a linear regression
The equation of the line of best fit is y = 4.9x + 112186 attendees are expected in the 15th yearHow to draw the scatter plot?To do this, we represent the years on the x-axis and the attendees on the y-axis
See attachment for the scatter plot
The equation of the line of best fit?The scatter plot passes through the points
(0, 112) and (5, 136.5)
Start by calculating the slope, m using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (136.5 - 112)/(5 - 0)
m = 4.9
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 4.9 * (x - 0) + 112
y = 4.9x + 112
Hence, the equation of the line of best fit is y = 4.9x + 112
The attendees in the 15th yearThis means that x = 15.
So, we have:
y = 4.9 * 15 + 112
Evaluate
y = 186
Hence, 186 attendees are expected in the 15th year
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S = 4LW + 2WH; S = 184, L = 9, W = 4.
Step-by-step explanation:
S=4LW+2WH
160=4(9)(4)+2(4)H
160 = 144 + 8H
160- 144 = 144 - 144+8H
16 =8H
16/8H = 8H/8
H=2
Under his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget
Answer: g < 5
5 is the amount of gigabytes
Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:
3g + 45 ≤ 60.
where,
"g" represents the number of gigabytes used.
$3 is the cost per gigabyte.
$45 is the flat monthly cost.
$60 is the maximum budget.
Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.
He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.
The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.
Hence, the inequality is 3g + 45 ≤ 60.
Now, solve for g:
45 + 3g ≤ 60
Subtract 45 from both sides:
3g ≤ 15
Divide both sides by 3:
g ≤ 5
So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
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answer this correctly for brainiest
12x−3<−138
Answer:
x<-11.25
Step-by-step explanation:
you treat it like its 12x-3=-138, your goal is to isolate the x. first you subtract the 3 from both sides (12x<-135) and then divide both sides by 12 giving you 11.25 on one side and x on the other.
Answer:
x < -45/4 or it can be written as ( -infinity, -45/4 )
Step-by-step explanation:
12x - 3 < -138
12x < -135
x < -45/4
or x < -11.25
HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.
2x − 3.5 ≥ 10.5
2x − 3.5 − 3.5 ≥ 10.5 − 3.5
2x ≥ 7
2x ≥ 7(2)
x ≥ 14
- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality
Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.
Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]
Find the missing angle
Answer:
68 degrees.
Step-by-step explanation:
A right angle is 90 degrees. If you subtract 90-22 you will get 68.
I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.
#b
[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]
[tex]\\ \rm\rightarrowtail b=21tan47[/tex]
[tex]\\ \rm\rightarrowtail b=22.5[/tex]
#c
[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]
[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]
[tex]\\ \rm\rightarrowtail c=30.88[/tex]
Answer:
c = 30.8 (nearest tenth)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 21b = 22.5Substitute given values into the formula and solve for c:
⇒ 21² + 22.5² = c²
⇒ 947.25 = c²
⇒ c = ±√(947.25)
⇒ c = ±30.8 (nearest tenth)
As distance is positive, c = 30.8 (nearest tenth) only
1.what is the measure in degrees of angle x.
2.what is the measure in degrees of angle y
Show your work
⠀
1. Here,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )
⠀
Thus,
⠀
[tex] \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ [/tex]
⠀
Now, for y,
⠀
[tex] \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star [/tex] ( Vertically Opposite Angles)
⠀
[tex] \underline{\rule{230pt}{2pt}} [/tex]
⠀
Find the value of x.
x
35
15
what is the equation of line a
Step-by-step explanation:
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
f(x) = –2x2 + 4x and g(x) = x2 + 18x + 77.
What is (f•g)(x) in standard form?
Step-by-step explanation:
I take it this is meant to be a multiplication, right ?
not a "function of function", which would be symbolized by a little empty circle.
to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.
(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =
= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =
= -2x⁴ - 32x³ - 82x² + 308x
y(2.5+7)+y-2
10.5y-2
which statement best explains why the expressions are equivalent
a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.
Using the equivalence concept, it is found that the correct option is given by:
a the expressions have the same value for any value of y.
What are equivalent expressions?Two expressions are said to be equivalent if for the same input, they have the same value.
In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.
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What is the great number to start on 3x+1?
Answer: 0
Step-by-step explanation:
0 generally is our starting number since it's our y intercept on the graph, so it's most likely a point where you can start graphing.
1). Determine which law you would use to find each missing side or angle.
2). Then find it.
Answer:
(a) the law of cosines
(b) approximately 6
Step-by-step explanation:
Check out the attached photo.
Please help, I need it soon.
Write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and(2x - 5). Remember Perimeter = the sum of all sides. Rectangle has four sides.
Please I really need help
Answer:
Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)
Given:
width = (-3x + 1)length = (2x - 5)⇒ perimeter = 2(-3x + 1) + 2(2x - 5)
= -6x + 2 + 4x - 10
= -2x - 8
