Answer:
For Q.1, the answer is 9
Step-by-step explanation:
The volume formula for a cylinder is V=πhr^2. The volume formula for a cone is V=(πhr^2)/3. You might notice that the formulas are very similar; the only difference is the divided by three at the end. Because we are going from cylinder to cone, we have to multiply by three instead of dividing. Doing this, we get 3*3=9.
Try solving the rest of the problems using these two formulas by yourself. :)
Factor completely. 30x^2y + 5x 15xy
Answer: 105x²y
Step-by-step explanation:
Find the sum of all natural numbers such that they are 5 times bigger than their last digit.
A. 25
B. 75
C. 125
D. 276
E. 389
The sum of the natural numbers is (a) 25
How to determine the sum of the natural numbers?From the question, we have the following parameters that can be used in our computation:
Number type = natural number
Condition = 5 times bigger than their last digit
This means that
Number = 5 * Last digit
Because the number is a natural number, then the number cannot end in 0
This is so because 0 is not a natural number
Solving further, the last digit of the number is at most, 9
Using the above as a guide, we have the following:
The number is at most 45 i.e. 5 * 9
Also, it means that it can not have more than 2 digits.
The above highlights in a nutshell is that the number is a multiple of 5 that does not end in 0 and the last digit is 5
Since the last digit is 5, then we have the number to be 25 i.e. 5 * 5
Hence, the number is (a) 25
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The population of HaleyValley, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0. 6% per year since 2000. What will be the projected population of HaleyValley in 2020?
The projected Population in 2020 is given by 4146.
What is compounding ?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.
Number of years to compound is 10 years from 2010 to 2020.
The population deplition is 0.6 % = next year population is 99.4% of present.
So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146
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in triangle ABC,AC=BC,CD is perpendicular to AB with D belonging to AB,AB=4 in. and CD=\sqrt(3) in.find AC
The length of the triangle ΔABC will be √7 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.
The CD is half of the length AB. Then we have
CD = AB / 2
CD = 4 / 2
CD = 2 inches
Then the length of AC is calculated as,
h² = (√3)² + (2)²
h² = 3 + 4
h= √7 inches
The length of the triangle ΔABC will be √7 inches.
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Find out the answer to 4x+12=63
[tex]12 \frac{3}{4} [/tex]
or 12.75
Answer:
x=12.75
Step-by-step explanation:
Follow the steps within the image.
-Hope this helped
PLEASE HELP WILL GIVE BRAINLESIT
Answer:
all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Triangles.
1.) Sin x = 20/36 , hence x° = 33.74
2.) Sin n = 35/51, hence n° = 43.33
3.) Cos z = 18/21 , hence z° = 31.00
4.) Tan w = 15/6 , hence w° = 0.04
What is the average rate of the function from x =2 to x =4 write as whole number
Answer:The average rate of the function from x = 2 to x = 4 is 6.
Step-by-step explanation:
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(3,2) and (-2,7)
Step-by-step explanation:
Look for the intercepts of both graphs.
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What is the volume of this sphere?
Use 3.14 for pI and round to the nearest hundredth when
necessary.
Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
Whats the answer PLS
Answer:
48+23(6)½
Step-by-step explanation:
A = l × w
A =[(8-(6)^½) × (9+4(6)^½)]
A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]
A =(72 + 32(6)^½ - 9(6)^½ - 24)
A =(72 - 24 + 32(6)^½ - 9(6)^½)
A =(48 + 23(6)^½)
What does log of e mean?
The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.
The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.
There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.
The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.
The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.
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Can the inverse of a function be the same function?
Answer:
Yes
Step-by-step explanation:
y = x has the inverse x = y
Simplify the below expression.
How much more rain fell in June than in August? Simplify the answer.
June: 5.75
August: 2.1
Find the surface area of a cube with a side length of 1 in
Answer:
6
Step-by-step explanation:
If u add up all sides of a cube, you get 6 because there's 6 sides.
Answer:
6 in
Step-by-step explanation:
There are 6 sides of a cube and each is 1 in so it adds up to 6 in
7.5% of what number is 15?
Help please
Answer:
7.5% of x = 15
75%x=15
15/75%=x
200=x
Therefore
x=200
What number will be multiplied to give -100 and be added to give 8
Answer:
? whats the number your multiplying by
Step-by-step explanation:
Answer:
-12.5
Step-by-step explanation:
Hope it helps
FOLLOW MY ACCOUNT PLS PLS
Solve the following system of equations graphically on the set of axes below.
y = x + 8
y = -1/2x+5
Plot two lines by clicking the graph. Click a line to delete it.
By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).
How to solve the system of equations?Here we have the following system of equations:
y = x + 8
y = -(1/2)x+5
And we want to solve it graphically.
To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.
The graph of the system of equations can be seen in the image below:
There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+147x+80
Answer:
t = 9.7 seconds
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as :
[tex]y=-16x^2+147x+80[/tex]
We need to find the time that the rocket will hit the ground, to the nearest 100th of second.
When the rocket hit the ground, So,
[tex]-16x^2+147x+80=0\\\\x=-0.515\ s\ and\ 9.70\ s[/tex]
Neglecting negative tim,
t = 9.7 s
Hence, it will hit the ground at 9.7 seconds.
35PTS 35PTS answer the whole question, don’t explain.
The equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
What is the slope - intercept form of a line?The slope - intercept form of a line is -
y = mx + c ... { 1 }
where -
{m} is slope of line.
{c} is y - intercept of the line.
Given is the slope of the line as {m} = 1/4 and the y - intercept as {c} = -2.
From Eq { 1 }, we can write the slope - intercept form as -
y = mx + c
y = (1/4)x - 2
Therefore, the equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
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If it took a speed-boat 9 hours to travel
a distance of 1 080 km, what was its
average speed, in kmh-¹?
Answer:
120 km/h
Step-by-step explanation:
average speed=total distance÷time
=1080÷9
=120 km/h
May someone help me with this :)
Answer:
I think it would be 23
Step-by-step explanation:
not sure hope this helps if not leave the answer in the comments, have a good day.
Sum of all angles of a triangle = 180°
Let the angle be x.
So,
x+104°+53° = 180°
x + 157° = 180°
x = 180° - 157°
x = 23°
So, the unknown angle is of measure 23°.
Question 3(Multiple Choice Worth 5 points) (05.01)A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged
Answer: 72 feet²
Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Answer:
3920 - 36x ≤ 500
Step-by-step explanation:
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Let the amount of money spent in 36 weeks = x
At least = Less than or equal to = ≤
$3920 - 36x ≤ $500
Hence, the inequality to represent this situation is written as:
3920 - 36x ≤ 500
50 POINTS IF U ANSWER WITHIN 5 MIN AND BRAINLIEST!
Answer:
part a: 840 if she withdrew the first month down to 730 and the rate it decreases is 110 then it is 840
part b: 110every month she withdraws 55 dollars because 55 plus 55 is 110
so every 2 months she would have withdrawn 110 dollars
Step-by-step explanation:
Please help!!!!!!! Thanks
Answer:
145
Step-by-step explanation:
m<4 and m<3 would equal 90 so subtract 55 from 90 and you get 35 for m<3 so you subtract 35 from 180 and you get 145
help quick its due in 15 minutes
2(x + 7) =
7th grade math
Answer:
2x+14
Step-by-step explanation:
2(x+7)
2x+2x7
then you have your answer 2x+14
8.3g of sugar is needed for every cake made .how much sugar is needed for 5cakes
Answer:
41.5 g
Step-by-step explanation:
This is correct! mark me brainliest!
Answer:
8.3 x 5 = 41.5
Step-by-step explanation:
standard algorithm- 3 x 5=15 1 on top 5 stays on bottom
5 x 8 = 40
40+1 = 41
415
then add decimal dot after one number
hope this helps :P
Help ASAP!!!!!!!!!!!!!!!!
The correct order of match is 1-a, 2-b, 3-d and 4-c.
What are conic sections?The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.
A plane crosses the cone, and the resulting section is referred to as a conic section.
Given the equations,
the equation for parabola is given by
(y - b)² = 4p(x - a)
Vertex is (a,b)
equation 2 follows the same
x = -2(y - 4)² + 3
this is the equation for parabola.
Equation for ellipse is
(x − a)²/h² + (y − b)²/k² = 1
the equation x²/4 + (y - 8)²/144 = 1
(x/2)² + ((y - 8)/12)² = 1
the equation is same is equation for ellipse,
Equation for circle
(x - h)² + (y - k)² = r²
fourth equation
(x - 9)² + (y + 2)² = 7²
is same as equation of circle
Equation for hyperbola
(x − a)²/h² − (y − b)²/k² = 1
equation (x - 3)²/5 - (y + 4)²/25 = 1
is same as equation of hyperbola.
Hence the correct order is a, b, d, and c.
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There are four types of candy in a bag – starbursts, jolly ranchers, snickers and milky ways. At random, the probability of picking a starburst is 2/5, a jolly rancher is 18% and a milky way is 0.2. What is the probability of picking a snickers at random? * A. 22% B. 23% C 21% D 20%
Answer:
A) 22%
Step-by-step explanation:
probabilities of selecting:
starburst = .40
jolly = .18
milky = .20
These probabilities total 78% which means the other 22% must be what remains for snickers.