The volume of a sphere is directly proportional to the radius cube thus with an increase in the radius it will increase so option (A) is correct.
What is the sphere?A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.
For example, if you have a sphere of radius r then its surface area will be 4πr² and
The volume of a sphere with radius r is given as (4/3)πr³.
V ∝ r³
By increasing the radius r the volume V will rapidly increase.
Hence "Because the volume of a sphere is precisely proportional to the cube of its radius, it will grow as the radius grows".
For more about a sphere,
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Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answer
$540
Step-by-step explanation:
hopes this helps
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answer:
54mile equal to 81km
8mile equal to 12km
find the answer given below
Answer:
Surface area = 6l^2
Volume = l^3
If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]
Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3
1 :2 [tex]\sqrt{2}[/tex]
Which is not an option in the question so this question clearly has a problem.
First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.
Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.
Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width" But, then the the shape would no longer be a cube.
Who even wrote this garbage question what.
5x + 3y = 18 solve for y
[tex]5x+3y = 18\\\\\implies 3y = 18 -5x\\\\\implies y = \dfrac 13(18-5x) = 6 - \dfrac 53 x[/tex]
Answer:
y=18-5x/3
Step-by-step explanation:
Hope this helps~
Have a great day
Zero
what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal
Answer:
322
Step-by-step explanation:
Triangle area = base*height)2Here, area = 23*28/2=322
Answer:
322 [tex]in^{2}[/tex]
Step-by-step explanation:
Hope this helped!
Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go
A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.
Answer:
5/253
Step-by-step explanation:
The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.
Which term of the AP 21, 42, 63, 84, ..... is 210 ?
Answer:
The 10th term
Step-by-step explanation:
As we see these are all incrementing by 21 (and divisible by 21), we can divide all the terms by 21 and get 1, 2, 3, ...., 10
Therefore 210 is the 10th term.
Answer:
The 10th term is 210
Step-by-step explanation:
Let's revise our tables of 21.
21 x 1 = 2121 x 2 = 4221 x 3 = 6321 x 4 = 8421 x 5 = 10521 x 6 = 12621 x 7 = 14721 x 8 = 16821 x 9 = 18921 x 10 = 210Therefore, the 10th term will give 210.
Hoped this helped.
Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19
Answer:
2
Step-by-step explanation:
the answer is 2 because I need points for my brainly so I can get a 100 on this assignment
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
The total bill after the tip, discount, and tax is $37.76.
The total cost of the order is reduced by the coupon and increased by the tax paid and tip.
Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert
$2.99 + $9.99 + $11.50 + $7.99 = $32.47
Value of the tip = 20% x $32.47 = $6.49
Cost of the items after the coupon: (100% - 10%) x $32.47
90% x $32.47
0.9 x $32.47 = $29.22
Cost of the items after the tax: (1.07) x $29.22 = $31.27
Total cost of the items = $31.27 +$6.49 = $37.76
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Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
What is the COST PER YARD?
Answer:
7.68$
Step-by-step explanation:
2+(1/12)=2.08
16/2.08=7.68
Answer:
6.4
Step-by-step explanation:
PLEASE Help!!:
Check for understanding:
1) Circumference: C = D × π = 40 × 3.14 = 125.6
Area: [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]
2) Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm
Area: [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]
ok done. Thank to me :>
) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE
Answer:
The graph that represents the situation is A
Step-by-step explanation:
Food fryers manufactured by a company that supplies food trucks can fry a
mean of 132.4 pounds of food per hour with a standard deviation of 3.9
pounds per hour. In a given hour, how much food would 99.7% of these fryers
fry?
A. 124.6 pounds per hour to 140.2 pounds per hour
B. 128.5 pounds per hour to 136.3 pounds per hour
C. 120.7 pounds per hour to 144.1 pounds per hour
D. 116.8 pounds per hour to 148.0 pounds per hour
Answer:
Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.
Step-by-step explanation:
Just took the Quiz <3
AYO y'all can someone help wit this question urgent?
the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?
Answer:
I think this is right lol
Step-by-step explanation:
f(x)=49+x
A table of values of a linear function is shown below. Find the output when the input is n.
Answer:
Step-by-step explanation:
output = y
input = x
y=-2x + 3
if you follow the pattern, the next input is 5 which will output -7
QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)
The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]
We are give a cone with dimensions as seen in the diagram in the attached image.
The volume changes at the rate
[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]
the negative sign is used because the volume of water is reducing.
what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate
[tex]\frac{dh}{dt}|_{h=3cm}[/tex]
The relationship between the volume and the height is given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this
[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]
substitute into the volume formula to eliminate [tex]r[/tex]
[tex]V=\frac{\pi h^3}{27}[/tex]
differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly
[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]
to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]
[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]
So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]
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What is correct answer For this problem
The table shows how the length of a fish changes over time.
Which equation represents the relationship between x, the time in years, and y, the length in centimeters?
Question options:
x = 4.5y
x = 9y
y = 4.5x
y = 9x
Answer:
C. y=4.5x
Step-by-step explanation:
divide y by x
find the discriminant of -2x^2+8=x^2-28
Answer:
If I'm not wrong I think the answer should be (-28)
What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0
-92
Step-by-step explanation:
If a quadratic equation has the following form:
[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]
then its discriminant D is defined as
[tex]D = b^2 - 4ac[/tex]
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
[tex]D > 0,\;\;[/tex] there will be 2 real roots
[tex]D = 0,\;\;[/tex] there will be 1 real root
[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
what is the rate of change for these data?
Answer:
-2 gallons per minute
Step-by-step explanation:
As we can clearly see, the water is continuously decreasing every 15 minutes by 30 gallons.
So, the rate of change is -30 gallons per 15 minutes
However, we can simplify this ratio by dividing both sides by 15, so we get
-2 gallons per minute
Question 1: Whose percentage increased more from 1984 to 2014, males or females? By how much more did it increase?
My Answer: Between 1984 to 2014 males diagnosed with diabetes increased more than females. The number of males diagnosed with diabetes increased more than .9% compared to females.
Help my teacher said it was wrong
The percentage increase are applied to the number of male and female
from the previous period.
From 1984 to 2014, the percentage of females increased more than males.Reasons:
Let F represent the initial number of females and let M represent the initial number of males before 1984.
We have;
In 1984
Number of females = F × 1.026 = 1.026·F
number of males = M × 1.031 = 1.031·M
In 1994
Number of females = 1.026·F × 1.032 = 1.058832·F
Number of males = 1.031·M × 1.032 = 1.063992·M
In 2004
Number of females = 1.058832·F × 1.056 = 1.118126592·F
Number of males = 1.063992·M × 1.049 = 1.116127608·M
In 2014
Number of females = 1.118126592·F × 1.066 = 1.191922947072·F
Number of males = 1.116127608·M × 1.059 = 1.181979136872·M
Therefore, between 1984 and 2014, we have;
The percentage increase of females = 1.191922947072 × 100 - 100 ≈ 19.2%
The percentage increase of males = 1.181979136872 × 100 - 100 ≈ 18.2%
Therefore;
The percentage increase of the females is more than the males by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%
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A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)
Answer:
the snail
Step-by-step explanation:
in order to find who is faster you have to find how many inches each one does in one sec
Ant= 45/15 which is 3 inches per sec.
snail=12/3 which is 4 inches per sec.
so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs
I hope this helps
A hardware store mixed 7 gallons of red paint with every 11 gallons of blue paint to make purple paint. Which ratio of gallons of red paint to gallons of blue paint will make the same shade of purple paint?
Answer:
2 b + 6 r = 2 * 24
5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84
subtracting equations (to eliminate r) ... 8 b = 36
solve for b , then substitute back to find r
HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST
What is the vertical shift for the absolute value function below f(x) =9 |x+1|+2
Answer:
Slide UP 2
Step-by-step explanation:
In the equation,
f(x) = 9|x+1| + 2
There are three transformations of the parent function f(x)=|x| (this is the simplest form of this function, it's a v-shaped graph)
The 9 in front will vertically stretch the graph and make it look like a "skinny" v-shaped graph.
The +1 in close to the x inside the absolute value bars |x+1| will shift (slide) the graph to the left (it's the opposite of what you might think-- 'plus' shifts the graph left and 'minus' shifts the graph right)
The +2 at the end is the transformation you're looking for. It slides the graph as you would expect UP 2 units. If it was a minus it would shift the graph down instead.
parallel to the line y=3/5x-8; passes through (0,-3)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]
so we're really looking for the line of a slope of 3/5 and passing through (0,-3)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]
round the following number to the nearest ten 7377.38?
Answer:
7377.4
Step-by-step explanation:
Plz help me NOW I will mark u brainliest
[tex]m\% \: \: of \: \: p\% \: \: of \: \: n \\ = \frac{m}{100} \times \frac{p}{100} \times n \\ = \frac{m \times p \times n}{100 \times 100} \\ = \frac{mnp}{10000} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
please HELPPP!!!!!!!!!!!!!!!!
Answer:
40,44,48,52
Step-by-step explanation:
These are multiples of 4 because 4 can be multiplied into all of them like
4x11=44
4x10=40
4x12=48
4x13=52