Answer:
5539 or 1764[tex]\pi[/tex]
Step-by-step explanation:
to find the area, we need the radius
The radius(R) is half of the diameter(D)
R = D/2
R = 42/2
R = 21
area of a circle(A) = pi x radius[tex]^{2}[/tex]
A = pi( which most times in a problem, equals 3.14) x 42[tex]^{2}[/tex]
A = 3.14 x 1764
A = 5538.96
A(when rounded) = 5539
What is the inverse of the function f(x)=-1/2(x+3)?
The inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]
What is an inverse function?An inverse function is a function that serves as an eliminator of a given function.
A function that has an inverse is called invertible function and it is denoted as [tex]f^{-1}[/tex].
Analysis:
let y = [tex]\frac{-1}{2(x+3)}[/tex]
so that,
2y(x+3) = -1
2yx + 6y = -1
2yx = -1 -6
x = [tex]\frac{-1 - 6y}{2y}[/tex]
replacing y with x
[tex]f^{-1}[/tex](x) = [tex]\frac{-1-6x}{2x}[/tex]
In conclusion, the inverse of the function is : [tex]\frac{-1-6x}{2x}[/tex]
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What is the area of the shape shown below? Round your answer to the neatest tenths
Answer:
42.5
Step-by-step explanation:
Area- (9.0×3.5) +1/2(5×2) + (2×2)
=31.5+2+5+4
=42.5
hope it helps!!!
Use the information to answer the question.
A data set is normally distributed. The mean of the data is 9.2, and the standard deviation is 1.8.
Using the 68-95-99.7 rule, what percentage of the data points are greater than 11? Enter the answer in the box.
%
Using the Empirical Rule, it is found that 16% of the data points are greater than 11.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 9.8 and the standard deviation is of 1.8.
11 is one standard deviation above the mean. Considering the symmetry of the normal distribution, 32%(more than one standard deviation above the mean)/2 = 16% of the data points are greater than 11.
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Jarell Tarver invested $20,000 in the Boyd Kern Mutual Fund (Type A). The net asset value is $21.34 per share. The fund is front-loaded with a loading rate of 5.25%. How many shares did Jarell purchase?
Answer:
Ok To tell the truth My honest answer is 20026.59
Step-by-step explanation:
I say this because at the end it says how Many shares di Jarrell purchased so you suppose to add so 20,000 then 21.34 then do 5.25 so that's how u got that answer I hope that's correct I'm sorry if it's not I'm not a big fan of math I believe in you tho
Surface area of a new cereal box with dimensions of
L=8 in
W=1.75in
H=12.125in
Answer:
264.4375
Step-by-step explanation:
Surface area of a box = 2(lw + lh + wh)
L = 8 , W = 1.75 and H = 12.125
==> plug in values
SA = 2((8)(1.75) + (8)(12.125) + (1.75)(12.125))
==> multiply values that are inside parenthesis together
SA = 2(14 + 97 + 21.21875)
==> add values inside of parenthesis
SA = 2(132.21875)
==> multiply 2 and 132.21875
SA = 264.4375in²
i need an equation with a variable on each side that equals 15
Answer:
2x + 5 = 3x
Step-by-step explanation:
In this equation, x = 5 and both sides equate to 15. Hope this helped!
??? ??????????????????????
Answer:
28.86338
Step-by-step explanation:
find the area of the whole circle and then divide by 3, since the shaded part is about 1/3 of the whole cricle.
if you borrow 800$ for 10 years and the interest rate is 7% how much do you pay altogether?
Answer:
Answer is
1,760
Step-by-step explanation:
960+800=1,760
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.
Pls help i will give brainliest to whoever gives a good answer
aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. to prepare for the event, she is practicing and keeping track of her time to complete each station.
the x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
part a: is this data modeling an arithmetic sequence or a geometric sequence? explain your answer. (2 points)
part b: use a recursive formula to determine the time she will complete station 5. show your work. (4 points)
part c: use an explicit formula to find the time she will complete the 9th station. show your work. (4 points)
source
stylesnormal
Answer:
(-11,12)
Step-by-step explanation:
add 4 to 7 then subtract 3 and add 25
Find the Mean given Normal Curve Values (please help and explain your answer)
Answer:
mean = 22
Step-by-step explanation:
34 = mean + 2sd
4 = mean - 3sd ==> mean = 4 + 3sd
34 = 4 + 3sd + 2sd
30 = 5sd
sd = 6
mean = 4 + 3*6 = 4 + 18 = 22
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
6 m
8 m
Area =
cm2
Answer:
48 square cm.
Step-by-step explanation:
The area of a parallelogram is (A = B * H)
Base is 8
Height is 6
8*6 = 48 square cm.
"Given m = -2/5 and b = -7, write the equation of the line containing these points"
can someone help?
Answer: y = (-2/5)x - 7
This is the same as writing [tex]y = -\frac{2}{5}x-7[/tex]
======================================================
Explanation:
Any linear equation is of the form y = mx+b, known as slope-intercept form
m = slope
b = y intercept
We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7
can someone help me with this problem? thank you!
Answer:
242
Step-by-step explanation:
10x3=30
30x2=60
60+42+140=242
what will help a person with power of attorney make good decisions?
A. knowing how to set up a trust
B. understanding the healthcare process
C. knowing why they were chosen to have power of attorney
D. understanding how to care for your family
Answer:
B - understanding the healthcare process
explanation:
I took the quize!
Graph the equation. y = 4(x + 6)(x + 4)
There you go I hope its correct
Pls HELPPP !!!!!!!!Variables y and x have a proportional relationship, and y = 21 when x = 14. What is the value of x when y = 12?
Answer:
8
Step-by-step explanation:
y=21 divided by x=14 = 1.5 so Y is 1.5 times larger than X so you should divide y=12 by 1.5 to get 8
John is traveling at 48 miles per hour and his distance can be written as d = 48t.
How far will John travel if he travels for 5 hours?
Answer:
240 miles
Step-by-step explanation:
To find how far John will travel is he travels 48 miles per hour for 5 hours, you can multiply John's speed (48 mph) with his travel time (5 hours) to get:
48 mph × 5 hours = ?
48 × 5 = 240
Therefore, John will travel 240 miles if he travels for 5 hours at 48 miles per hour.
How do I find a point on the line whose equation is 3x-8y=54
An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
Learn more about Equation:
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marking brainliest if correct
four numbers that are evenly divisible by both 4 and 9.
four numbers that are evenly divisible by 2, 3, and 5.
Answer:
36, 72, 108, 144
30, 60, 90, 120
Step-by-step explanation:
How many buses do you need for 750 people if each bus holds 150 people?
Answer:
5 buses
Step-by-step explanation:
As, 150 people are hold by= 1 bus
therefore,
750 people are hold by=1/150x750 buses
=5buses
Answer:
5 buses
Step-by-step explanation:
Given:
Each bus holds 150 peopleTo find:
Buses for 750 peopleSince each bus or a single bus can hold 150 people, we can represent the sentence in math expression as:
[tex]\displaystyle\large{1B = 150P}[/tex]
B stands for Bus and P stands for People. Therefore we have the equation of:
[tex]\displaystyle \large{B=150P}[/tex]
Next is to find how many buses can hold 750 people so we will have to multiply both sides by 5 since 150*5 = 750.
[tex]\displaystyle \large{5B=150*5}\\\displaystyle \large{5B=750}[/tex]
If one bus can hold 150 people then 5 buses can hold 750 people. Hence the solution is 5 buses.
the owners of a company want to invest $12000 for 4 years.a which account should they choose.Explain
account a earns 5% simple interest
account b earns 5% interest compound annually
Answer:
Compound interest
Step-by-step explanation:
Simple interest in 4 years = 5% *4 = 20%
Compound interest in 4 years = 1.05^4 - 1 = 21.55%
Compound interest is higher than simple interest in any case more than 1 year
hrlppppppppppp asappppp
Answer:
a) 6x + 5x and 11x
b) 6⋅1 + 6⋅4y and 6 + 24y
Step-by-step explanation:
a) 10x - 4x + 5x <== combine like terms
6x + 5x
11x
Ans: 6x + 5x and 11x
b) 6(1 + 4y) <== distribute
6(1) + 6(4y)
6 + 24y
Ans: 6⋅1 + 6⋅4y and 6 + 24y
Hope this helps!
Let k = 7.
Drag the expression into the box that makes the comparison true.
Answer:
k^2 ÷ k^2 the third one is correct
A rectangular prism fish tank measures 6.2 cm × 4.7 cm × 2.3 cm.
Find the volume of the fish tank and round to the nearest hundredth if necessary.
Answer:
The volume of the fish tank is 67.02
Step-by-step explanation:
To find the volume of a rectangular prism, multiply length times width times height.
V = L*W*H
V = 6.2*4.7*2.3
V = 67.022
67.022 rounded to the nearest hundredth would equal 67. 02
The attached image shows a few of the different volume formulas.
solve the equation
3/4(x-16)=-2(x-3)+4
Answer:
The answer is X equals 8.
Step-by-step explanation:
Solve for X by simplifying both sides of the equation, then isolating the variable. X equals 8.
For what values of b is the relation R:{(b^2, 5), (5b, 6)} NOT a function?
Answer:
b=0,b=5
Step-by-step explanation:
A Cone has a radius of 3 and a height of 5. solve.
Assuming your looking for volume.
The following formula is used for calculating the volume (V) of a cone.
[tex]\boxed{V=\frac{1}{3}\pi r^{2} h}[/tex]
where r is the radius and h, the height.Substitute r = 3 and h = 5 into the formula.⇒ [tex]V=\frac{\pi *3^{2} *&5}{3} =\frac{45*\pi }{3}[/tex] ≈ [tex]47.124[/tex] [tex]cubic[/tex] [tex]cm[/tex]
Represent geometrically the following numbers on the number line: √4.5 √8.3. (step by step explanation preferably done in notebook please) I’ll mark the best answer as brainliest
Answer:
To represent geometrically √x on a number line:
Draw a line segment AB with length x (where point A is -x and point B is zero on the number line).Extend AB by drawing a line segment BC of length 1 unit.Draw a line perpendicular to AC at point B.Let O be the midpoint of AC.To represent geometrically √4.5 on a number line:
Draw:
Point A = -4.5Point B = 0Point C = 1Draw a line perpendicular to AC at point B.
Let O be the midpoint of AC:
[tex]\implies \sf O=\dfrac{-4.5+1}{2}=-1.75[/tex]
Draw a semicircle with center O and radius OA
[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{5.5}{2}=2.75[/tex]
Let point D be where the semicircle intersects with the perpendicular line
[tex]\implies \sf BD=\sqrt{AB}=\sqrt{4.5}[/tex]
Draw an arc with center B and radius BD from point D to the number line.
[tex]\implies \sf BE=\sqrt{4.5}[/tex]
⇒ Point E is [tex]\sf \sqrt{4.5}[/tex] on the number line.
Attachment 2To represent geometrically √8.3 on a number line:
Draw:
Point A = -8.3Point B = 0Point C = 1Draw a line perpendicular to AC at point B.
Let O be the midpoint of AC:
[tex]\implies \sf O=\dfrac{-8.3+1}{2}=-3.65[/tex]
Draw a semicircle with center O and radius OA
[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{9.3}{2}=4.65[/tex]
Let point D be where the semicircle intersects with the perpendicular line
[tex]\implies \sf BD=\sqrt{AB}=\sqrt{8.3}[/tex]
Draw an arc with center B and radius BD from point D to the number line.
[tex]\implies \sf BE=\sqrt{8.3}[/tex]
⇒ Point E is [tex]\sf \sqrt{8.3}[/tex] on the number line.
In the figure, ∆ABD ≅ ∆CBD by Angle-Side-Angle (ASA). Which segments are congruent by CPCTC?
Answer: AB ≅ CB
Step-by-step explanation:
In the given figure, we have ∆ABD ≅ ∆CBD
The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.
Since we have given that ∆ABD ≅ ∆CBD.
Therefore, the corresponding segments are congruent.
As segment AB is corresponding to segment CB. [First two letters]
Therefore, segment AB is congruent to segment CB.
