Answer:
TO find the answer, first you have to find the formula for volume of a cone-
The formula is
V= 1/3 times base times height
So V= (1/3) (pi3^2) (12)
V= 113.04
By the way for the base you have to find the volume of a circle. I divided the diameter by 2 to find the radius.
and pi is 3.14
Solve for xxx. Enter the solutions from least to greatest. (x -7)(-4x -2)=0(x−7)(−4x−2)=0left parenthesis, x, minus, 7, right parenthesis, left parenthesis, minus, 4, x, minus, 2, right parenthesis, equals, 0
Answer:
-1/2, 7
Step-by-step explanation:
Given the expression
(x -7)(-4x -2)=0
This means that;
x - 7 = 0 and -4x - 2 = 0
x = 0+7 snd -4x = 2
x = 7 and x = -2/4
x = 7 and -1/2
Hence the solution from least to greatest is -1/2, 7
Classify the triangle by its angle measures.
Answer:
d) Acute
Step-by-step explanation:
if all three angle measures are less than 90 degrees, the triangle is acute
If f(y) = 8 + e-9y, find f'(y). Use exact values.
Answer:
[tex]f'(y) = -9e^{-9y}[/tex]
Step-by-step explanation:
The given function is :
[tex]f(y) = 8 + e^{-9y}[/tex]
We need to find the value of f'(y).
[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]
[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]
So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].
Graph y=6x−7
Identify the x-intercept.
9514 1404 393
Answer:
x-intercept: 7/6
Step-by-step explanation:
The x-intercept is found by solving for x when y=0.
0 = 6x -7
7 = 6x . . . . . add 7 to both sides of the equation
7/6 = x . . . . divide both sides by 6
The x-intercept is 7/6 = 1 1/6 ≈ 1.167.
__
The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.
If you apply the changes below to the absolute value parent function, f(x) = [X],
what is the equation of the new function?
.
Shift 4 units to the right.
• Shift 6 units up.
A. g(x) = 5x + 6 + 4
B. g(x) = x - 41 + 6
C. g(x) = 1x - 61 + 4
D. g(x) = 5x + 4 + 6
Answer:
B
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here f(x) is shifted 4 units to the right , so
g(x) = | x - 4 |
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted 6 units up , so
g(x) = | x - 4 | + 6 → B
The simplified equation for the new function is g(x) = |x - 4| + 6.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The absolute value parent function is f(x) = |x|.
To shift 4 units to the right, we replace x with (x - 4) since we want the graph to move 4 units to the right.
To shift 6 units up, we add 6 to the entire function since we want the graph to move 6 units up.
So the equation of the new function g(x) is:
g(x) = |x - 4| + 6
Thus,
The simplified equation for the new function is g(x) = |x - 4| + 6.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ7
Determine the scale factor.
A
6
-4
3
B
А
B
1
2.
0
8 9 X
3 4 5 6
с
D
-2
D'
C'
Your answer
Answer:
3 or 1/3 depending on going from small to large, or from large to small
Step-by-step explanation:
the same scale factor applies to all sides of the transformed shape.
when going from small to large, every unit of side length turns into 3 units.
when going from large to small, every 3 units of side length turn into 1 unit.
HELP ILL GIVE BRAINLIEST
Answer:
1
Step-by-step explanation:
So what is slope?
Slope is the change in y over the change in x.
You find the change in y and x when you compare two points on the line.
In this case, lets chose the two points they give us:
(1, -4) and (6, 1)
What is the difference of y? That looks like 5(1+4) or (1--4).
What is the difference of x? That looks like 5(6-1=5)
So we can tell the slope is y/x, or 5/5.
This can simpfly to 1.
So 1 is your slope!
A half the radius, or 1/2r
B the circumference, or 2πr
C half the circumference, or πr
D the Radius, r
The base of the parallelogram formed from the circle is half the circumference or πr .
A circumference is the length of the circle which is the perimeter of the circle.
The circumference of the circle can be given by the formula C = 2πr , where r is the radius of the circle.
If a circle is divided into equal sectors then the approximate size of the polygon formed by rearranging the sectors is a parallelogram.
The base of the parallelogram will be half of the circumference , or
base = 0.5 × 2 πr = πr
And the height will be the radius r of the circle.
Now area of a parallelogram is given by base × height
Now area = πr × r = πr²
Therefore the area of the circle is πr² .
Hence the base of the parallelogram formed from the circle is half the circumference or πr .
To learn more about circumference visit:
https://brainly.com/question/12512221
#SPJ1
Match the word with the definition.
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
Please help I don’t understand! Giving brainliest!
its A f(x) =8x+6
Put the value of x in each f(x)
for instance: put the -½ in third f(x) you will have f(x)= -2,but the first f(x) =2
A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.
Calculate : the angle subtended at the centre by the minor arc.
Complete question:
A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.
Calculate the angle subtended at the centre by the minor arc after 1 second.
Answer:
the angle subtended at the centre by the minor arc is 30⁰
Step-by-step explanation:
Given;
radius of the wheel, r = 10 cm = 0.1 m
angular speed of the when, ω = 5 rev/min
duration of the motion, t = 1 second
Determine the angular speed in radian per second,
[tex]\omega = 5\ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \ \times \frac{1 \min}{60 \ s} = \frac{10\pi \ rad}{60 \ s} = \frac{\pi }{6} rad/s[/tex]
After 1 second, the angular distance turned by the wheel is calculated as;
[tex]\theta = \omega t\\\\\theta = \frac{\pi \ rad} {6 \ s} \times 1 \ s\\\\\theta = \frac{\pi } {6 } \ rad\\\\in \ degrees; \theta = \frac{\pi \ rad}{6} \times \frac{180^0}{\pi \ rad} = \frac{180^0}{6} = 30^0[/tex]
Therefore, the angle subtended at the centre by the minor arc is 30⁰
Solve for c.
53= 7 c +11
10
Answer:
c=6
Step-by-step explanation:
7c+11=53
you subtract 11 from both sides giving you
7c=42
then divide both sides by 7
c=6
Find the value of x such that the data set has the given mean.
102, 119, 107, 114, 110, x; mean 118
Answer:
a
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}[/tex]
Hope this helps.
Find the surface area of the rectangular prism
2km
4km
6km
Answer:
88km is your answer
Step-by-step explanation:
brainlest pls
ASAP ANSWER PLEASE
A linear function has a slope of 2 and crosses the y axis at -8. What is the equation of the line?
Answer:
y = 2x -8
Step-by-step explanation:
The slope intercept form for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x -8
Solve the espresso on for a=12, b=6 and c=3
Look at the picture ! Will give Brainly
Answer:
Step-by-step explanation:
bc²-2a/b=6(3)²-2×12/6=54-4=50
Sammy has 21 books on his shelf. Two-thirds of the books are mysteries. How many books are mysteries?
Answer:
14 books my good sir
Step-by-step explanation:
If −2x + 3 = 13, then 2x =____?
Answer this please, I need help.
The amount of sales is 7500$
What is the answer to the expression?
Use Distributive Property to solve the expression.
2(35x + 15)
Willl give 100 points!!
Find the exact value of sine, cosine and tangent.
Answer:
Step-by-step explanation:
c i think
STION 6*
What is the value of x, if x = 32?
Answer:
32 is the value
Step-by-step explanation:
Find the greatest common factor (GCF) of 12 and 20. Show work.
Which set Doesnt describe a function??
Answer:
set c is the answer
Step-by-step explanation:
for a pair to be a function it can't have 2 different numbers for the same x value
5 and 1/7 * 8
HELP ME PLZ
Answer:
41 1/7
Step-by-step explanation:
5 1/7 x 8
Convert 5 1/7 to improper fraction
5 1/7 = 36/7
Multiply.
36 x 8
---- --
7 x 1
288/7
Simplify.
41 1/7
---
hope it helps
Help me please I need to ge tthis done so can get an a
Answer:
n>- 5/14
Step-by-step explanat
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15
Answer:
[tex]Ratio = 2 : 15[/tex]
Step-by-step explanation:
Given
[tex]k = 2 : 15[/tex] --- scale factor
Required [missing from the question]:
The ratio of width of the model to the original
From the question, we understand that the scale factor is: 2 : 15
The ratio of the width of the model to the original equals the given scale factor i.e.
[tex]Ratio = 2 : 15[/tex]
find the value of x that makes m ll n.
Answer:
11. x = 6
12. x = 7
Step-by-step explanation:
11.
16x - 6 = 90
16x = 96
x = 6
12.
12x - 4 = 10x + 10
2x = 14
x = 7
Find each missing measure.
Answer:
Each angle is 60 degrees
Step-by-step explanation:
The sides of the triangle are equal, which means the angles are equal. Since the sum of the interior angles of a triangle are 180 degrees, each angle is 180/3 = 60 degrees.