Answer:
a = 2a(- 1)
Step-by-step explanation:
I have done the maths
A triangular prism has a volume of 360 in.³ the area of the base of the prism is 24 in.² what is the height of the prism?
Answer:
15 in
Step-by-step explanation:
Volume / Area = missing length
360 / 24 = 15 in
Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?
Answer:
The rate of decay is: [tex]2\%[/tex]
Step-by-step explanation:
Exponential functions are modeled by:
[tex]f(x) = a(b)^x[/tex]
Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.
To calculate the percentage, subtract [tex]b[/tex] from 1:
[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]
Multiply the result by 100 to get the percentage.
[tex]0.02 * 100 = 2\%[/tex]
How am I supposed to do question 4???
Answer:
PQ= XY
QR=YZ
RP=ZX
/_P= /_X
/_Q= /_Y
/_R= /_Z
Find the area of the semicircle. Round your answer to the nearest hundredth.
Answer:
452.39
Step-by-step explanation:
area of circle = [tex]\pi r^{2}[/tex]
area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)
diameter = 2 x radius, and radius = half of diameter
so
radius = 24 / 2 = 12
[tex]12^{2}[/tex] x π = 452.389342
to nearest hundredth = 452.39
Hope this helps. If you need any further explanation, let me know!
- profparis
if i helped you, i would appreciate a brainliest :D
Answer:
266.19 in²
Step-by-step explanation:
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex] (where r is the radius of the circle)
As a semicircle is half a circle
[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]
From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.
[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]
Therefore, the radius of the circle = 24 ÷ 2 = 12 in
Substitute r = 12 into the equation for the area of a semicircle:
[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]
6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the same quote
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 6 students, hence n = 6.There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.The probability of one quote being chosen at least two times is given by:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351[/tex]
[tex]P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321[/tex]
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328[/tex]
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
which expression is equivalent to 16 + 2 x 36?
Hey there!
16 + 2 * 36
= 16 + 36 * 2
= 16 + 36 + 36
= 16 + 2 * 6^2
= 16 + 72
= 88
Thus, your answers could possibly be:
• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Everyone I really need the answers now I know that the points I offer are not much but I need I really need someone to answer this. Thank you to whoever answers
Volume = 6³ dm³
Volume = 216 dm³
Volume of rectangular prism = L × W × HVolume = 10 × 8 × 6 cm³
Volume = 480 cm³
Volume of pyramid = 1/3 base area × hVolume = 1/3 × 14 × 17 × 12.86 cm³
Volume = 1020.226 cm³
Volume of Cylinder = πr²hVolume = 3.14 ×6.5² × 5 m³
Volume = 663.325 m³
Volume of Cone = 1/3 πr²hvolume = 1/3 × 18.5² × 16 cm³
Volume = 1825.3 cm³
Volume of Sphere = 4/3 πr³Volume = 4/3 ×3.14 × 7³ m³
Volume = 1436.026 m³
Please help!! Will mark brainlyest.
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) and passes through the point (−2, −2)? y = –two-thirdsx – ten-thirds y = –two-thirdsx ten-thirds y = three-halvesx – 1 y = three-halvesx 1
The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Equation of a line in slope-intecept form?The equation of a lins is a linear equation and expressed as:
y = mx + b
m is the slope
b is the y-intercept
Determine the equation in point slope form
y - y1 = -1/m(x - x1)
y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)
Write in slope-intercept form
2(y+2) = 3(x+2)
2y + 4 = 3x + 6
2y = 3x - 2
y = 3/2x - 1
Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Learn more on equation of aline here: https://brainly.com/question/7098341
A cone has volume V, radius r, and a height of 12 cm.
Another cone has the same height and 1/3 times the
radius of the original cone. Write an expression for its
volume.
Answer:
I think it is 4/9 pi r
Step-by-step explanation:
according to the condition given:
2nd cone has:
Height = 12cm
r= 1/3r (cause it's given 1/3 of radius of the original cone)
We know that volume of a cone is = 1/3 pi (r)^2 h
Now substitute the values:
1/3 * pi* (1/3r)^2 * 12
when u simplify u will get
pi* 1/9*r*4 = 4/9 pi r
So, the answer is probably 4/9 pi r.
angles of circles
find x and y
Answer:
no. 1
Step-by-step explanation:
visual brain cuz im on the moon
Open with
2 At Mount Rushmore, the sculpture of George Washington's head is approximately 60 feet in
height.
60 feet
Il George Washington's head was approximately foot in height and his nose was 2 inches
long, how long is the nose on the sculpture at Mount Rushmore?
A
22-feet
B
13 feet
C, 1
75 feet
6 feet
D.
og
Page 2 | 13
a +
A small dog eats 3/4 of a cup of dog food twice a day. Using d for the numbers of days and f for the amount of food write an equation relating variables
Answer:
f = food variable
d = number of days
Equation: f = 1.5d
Bob is thinking about leasing a car. the lease comes with an interest rate of 8%. determine the money factor that will be used to calculate bob’s payment. a. 0.00033 b. 0.00192 c. 0.00333 d. 0.01920
The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
What is money factor?It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.
Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.
The annual percentage rate(APR) = 8%
We know the formula for finding the money factor is given by:
[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]
[tex]\rm Money \ factor = \frac{8}{2400}[/tex]
Money factor = 0.00333
Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
Learn more about the money factor here:
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Can I have help on this? I will award brainliest to whoever gives me the correct answer.
I think it is the last one
The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expressions are,
⇒ 48ab²
⇒ 32a²b
Now,
GCD of 32, 48 = 16
And, GCD of (ab²) and (a²b) = ab
Thus, The greatest common factors of the expressions 48ab² and 32a²b are,
⇒ 16 ab
⇒ 2⁴ ab
Hence, The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
Learn more about the Greatest common factors visit:
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Find the surface area of the rectangular prism (above) using its net (below).
Answer:
48 units sq
Step-by-step explanation:
Find the area of each square/rectangle
2x2
2x5
2x5
2x5
2x2
2x5
Add all the parts together
4 + 10 + 10 + 10 + 4 + 10
= 48 units sq
Find the value of x. Round your answer to the nearest tenth
[tex]x=13.8[/tex]
Step-by-step explanation:
Since the triangle is right use the tangent ratio to solve for x[tex]tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}[/tex]
Multiply both sides by [tex]x[/tex]x × [tex]tan41^o=12[/tex] ( divide both sides by [tex]tan41^o[/tex] )
x = ≈ ( nearest tenth )
® Incorrect
Which would show that FGHI is a parallelogram? Select all that apply.
Answer:
FGHI is a Parallelogram
At a high school, the ages of all employees during the last ten years are normally distributed. It has been calculated that 95.4% of the ages fall between 22.1 and 53.9 years. What is the standard deviation of the data?
A: 4.85 yr
B: 7.95 yr
C: 9.7 yr
D: 15.9 yr
Answer:
I'm sorry for trolling you, but ur mom
Step-by-step explanation:
Consider the equation 3(x – 5)2
+ 6 = 54.
What value(s) of x makes the equation true? Enter one solution in each space
provided on your answer document. If there is only one solution, leave one space
blank
Answer:
if im not mistaken, x = 13!!
A bicycle has it listed price of $852.98 before tax if the sales tax rate is 6.75% find the total cost of the bicycle sales tax included
I don't understand this and serval people have got it wrong.
[tex]\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}[/tex]
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The statements that are true for this parabola are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.
Option D.
Given the following data:
Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).How to determine the equation of the directrix?Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.
Next, we would determine the distance where point (8, 6) lie on the parabola as follows:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the parabolic equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the statements that are true for this parabola in the image above include:
The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
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Mary had a 3-inch piece of ribbon. She cut it in half. How long were the new pieces?.
3 inch.
to find:the length of the new pieces.
solution:to find the length of the new piece's you'll have to divide 3 by 2.
3/2
= 1.5 inch
so, the length of the new pieces is 1.5 inch.
What is 3.2×103 in standard form?
Answer:3200
Step-by-step explanation:
An art gallery sales 1400 paintings catalog states that 70% of the paintings by local painters how many of these paintings are by local painters
Answer:
the answer is 980 hope this helps
Need help ASAP! TYSM! Simplify 4√6/√30. Show steps.
Answer:
Simplify the radical by breaking the radicand up into a product of known factors.
answer
4√5/5
i hope u understand what i meant by that
sry hope this helps
Answer:
4√5/5
Step-by-step explanation:
yw :)
Plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/3
Answer:
Step-by-step explanation:
If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).
What is dilation?The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.
How to plot image?We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,
The x value after dilation will be 3/1/3=9
The y value after dilation will be -6/1/3=-18.
Hence the coordinates of A after dilation are (9,-18).
Learn more about dilation at https://brainly.com/question/3457976
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please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
12+y
Step-by-step explanation:
Given,
a=6
b=6
c=y
Perimeter of triangle= sum of all sides of triangle
= 6+6+y
= 12+y
Answer:
Step-by-step explanation:
Perimeter is the length of any closed figure. So for a triangle, the Perimeter is equal to P = a + b + c.
You are told that the triangle is isosceles which means it has 2 equal. You are to presume that the third side is not equal to the other 2.
a= 6
b = 6
c = y
Perimeter = a + b + y
Perimeter = 6 + 6 + y
Perimeter = 12 + y
You cannot go any further. There is no way to reduce it any further.
Darin wants to put a fence around his garden how much fencing should he buy.
Answer:
I don't know. How much he wants I guess.
Step-by-step explanation: