Answer:
0,1,2,3
Step-by-step explanation:
How can I describe an angle's measure?
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s. At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
Answer:
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
Step-by-step explanation:
Volume of a right circular cone:
The volume of a right circular cone, with radius r and height h, is given by the following formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Implicit derivation:
To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So
[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]
Radius is 107 in. and the height is 151 in.
This means that [tex]r = 107, h = 151[/tex]
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.
This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]
At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
This is [tex]\frac{dV}{dt}[/tex]. So
[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]
[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]
[tex]\frac{dV}{dt} = 1926[/tex]
Positive, so increasing.
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
Multiply the following using the vertical multiplication method: 3x^2-5x+1
x x^2+2x+4
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Answer:
3x^4 +x^3 +3x^2 -18x +4
Step-by-step explanation:
The multiplication is done the same way as "long multiplication" with numbers. Each partial product is placed in the column corresponding to its "place value" (the degree of the variable). The only difference from numerical multiplication is that the sums of the partial products have no carry into any column with a different "place value".
Round 3,872.3155 to the nearest hundred
Answer:
3,872.316
Step-by-step explanation:
Answer:
to nearest hundreds it would be: 3,900
Step-by-step explanation:
872 it closer to 900 than 800
What is length of DF?
Answer:
DF = 11
Step-by-step explanation:
From the question given above, the following data were obtained:
EH = 8
HG = 3
EF = DG
DF =?
Since, EF = DG, it also means that EG = DF.
Next we shall determine EG. This can be obtained as follow:
EG = EH + HG
EH = 8
HG = 3
EG = 8 + 3
EG = 11
Finally, we shall determine EF. This is illustrated below:
EG = DF
EG = 11
DF =?
11 = DF
Therefore,
DF = 11
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Answer:
Section A = 18
Section B = 288
Section B is 16 times greater than A
Step-by-step explanation:
Given the function :
g(x) = 6(4)^x
x = 0 to x = 1
At x = 0
g(0) = 6(4)^0 = 6(1) = 6
At x = 1
g(1) = 6(4)*1 = 24
Average rate of change for Section A = g(1) - g(0) = 24 - 6 = 18
Section B ;
x = 2 ; x = 3
g(x) = 6(4)^x
x = 2 to x = 3
At x = 2
g(0) = 6(4)^2 = 6 * 16 = 96
At x = 3
g(1) = 6(4)^3 = 6(4*4*4) = 384
Average rate of change for Section B = g(3) - g(2) = 384 - 96 = 288
Number of times B is greater than A
Section B / section A = 288 / 18 = 16 times
Which pair of diagrams best models the equation 3/4 = 6/8.
the one we barely see in the photo you took seems a good fit. on the left wich 3 blue stripes and one white. and with stripes of half the size, 6 blue and two white
Answer:
Answer is a because it has
Step-by-step explanation:
3 blue and 6 blue trust me
Kate leans a ladder against her house to get to the roof. The house is 25 feet tall and The ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?
Answer:
this is the correct answer
please mark brainliest
i don’t get this plz help
9514 1404 393
Answer:
f(x) = x(x-1) does not have an inverse function
Step-by-step explanation:
As you know, a function must be single-valued. That is, it can only have one y-value for each x-value.
If the inverse relation is to be a function, the original function must have only one x-value for each y-value. In general, even-degree polynomials, such as quadratic equations, cannot satisfy this requirement. This is often described as "the horizontal line test." That is, if a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
The attachment shows a horizontal line intersecting f(x) = x(x-1) in more than one place. The inverse of this relation is not a function.
[tex] \rm{f(x) = x(x - 1)}[/tex]
[tex] \\ [/tex]
X 5.2.24-E Question Help Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes. The probability is (Type an integer or decimal rounded to four decimal places as needed)
Answer:
Step-by-step explanation:
la probabilidad es del 60%
Anna invested 2,500 at an annual rate 5%. How long will it take until anna earns 1,125 in interest
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Answer:
9 years
Step-by-step explanation:
The simple interest formula is ...
I = Prt
where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...
t = I/(Pr) = 1125/(2500×.05) = 1125/125
t = 9 . . . . years
It will take 9 years for Anna to earn 1125 in interest.
These two polygons are similar. In the spaces below, enter the values of a, b, m
Given:
The two polygons are similar.
To find:
The value of [tex]a,\ b,\ m\angle C,\ m\angle D[/tex].
Solution:
We know that the corresponding side of similar figures are proportional. So,
[tex]\dfrac{5}{4}=\dfrac{5.39}{a}[/tex]
[tex]1.25=\dfrac{5.39}{a}[/tex]
[tex]a=\dfrac{5.39}{1.25}[/tex]
[tex]a=4.312[/tex]
Similarly,
[tex]\dfrac{5}{4}=\dfrac{5.83}{b}[/tex]
[tex]1.25=\dfrac{5.83}{b}[/tex]
[tex]b=\dfrac{5.83}{1.25}[/tex]
[tex]b=4.664[/tex]
We know that the corresponding angles of similar figures are congruent and their measures are equal. So,
[tex]m\angle C=99.2^\circ[/tex]
[tex]m\angle D=149^\circ[/tex]
Therefore, [tex]a=4.312\text{ units},\ b=4.664\text{ units},\ m\angle C=99.2^\circ,\ m\angle D=149^\circ[/tex].
What is the slope formula?
Answer:
(y2-y1)/(x2-x1)
Step-by-step explanation:
The slope is the change in y over the change in x
(y2-y1)/(x2-x1)
where ( x1,y1) and (x2,y2) are two points on the line
Answer:
O A. [tex]\frac{y2-y1}{x2-x1}[/tex]
Step-by-step explanation:
This is just about how the Slope-Formula works
ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this
for example imma go with (-2, 5) and (3, 7)
I need to subtract 7 - 5 / 3 - -2. so...
m = slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{7-5}{3--2}[/tex] Only add the denominators when there's 2 - signs together
m = [tex]\frac{2}{5}[/tex]
I’ll mark brainliest
Answer:
[tex]\text{A. }y=1.30x+1.50[/tex]
Step-by-step explanation:
The two ringtones will cost her a total of [tex]0.75\cdot 2=1.50[/tex] and is a fixed amount. The relationship between the cost and number of songs only is [tex]y=1.30x[/tex] and therefore the answer is [tex]\boxed{\text{A. }y=1.30x+1.50}[/tex]. You can also directly find the answer by finding the y-intercept (in this case [tex]1.50[/tex]), as no other answer choices include the term [tex]1.50[/tex], so A must be the correct answer.
What is the perimeter of Quadrilateral ABCDwith vertices at A(−11, −6), B(−3, 0), C(1, 0), and D(1, −6)?
Answer:
32 units
Step-by-step explanation:
the perimeter =
(1 -(-3)) +(0-(-6)) + (1 -(-11) + (√(12-4)²+6²)
= (1+3) +(0+6) +(1+11) +(√(64+36))
= 4+6+12 + 10
=32 units
Find the value of the expression (4x – 12)+(1/3xy – 5) when x = 6 and y=2
Answer:
11
Step-by-step explanation:
GIVEN
x = 6
y = 2
STEPS
(4x - 12) + (1/3xy - 5 )
(4(6) - 12 ) + ( 1/3(6x2) - 5)
(24 - 12) + ( 1/3(12) - 5)
12 + (4 - 5)
12 + (-1)
(12 - 1)
11
61 1/20 as a decimal
Answer:
61.05
Step-by-step explanation:
1/20 = 5/100 = 0.05
61+0.05 = 61.05
Which one of these polls is the correct answer? Please help.
PLEASE HELPPP !!!!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
128° because it is same side exterior with <5
Step-by-step explanation:
[tex] < 6 = \: < 4 = \: < 1 = 128 \degree[/tex]
Answer:
128 because it corresponding with 5
Help
Question 1:
Are x2 and x like terms?
Are 4x and 2x like terms?
Are 2x and 2y like terms?
Are 3x2 and 6x2 like terms?
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]
Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted. For instance : We can say 4y and 5y are like terms as they have the same base i.e y Unlike terms are those which have the different base. Unlike terms can neither be added nor subtracted. For instance : We can say 4x and 6y are unlike terms as they have the different base i.e 4x has the variable x while 6y has the variable y.[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]
No , x² and x are not like terms since they don't have same base.Yes , 4x and 2x are like terms since they have the same base.No , 2x and 2y are not like terms since they have different base. Yes , 3x² and 6x² are like terms since they have the same base .[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]
۵ Hope I helped ! ツ
☼Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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A rectangle has a length of 12.6 m and a width of 6.3 m. A similar rectangle has a width of 2.1 m. What is the length of the similar rectangle?
Step-by-step explanation:
Please see the photo for the method
ASAP! see the picture please!!
Answer:
the second one
function A has a slope of 3
function B has a slope of 5
Help please ASAP ASAP
Answer:
9
Step-by-step explanation:
At the y axis the number is 4
At the x axis the number is -5
So 4-(-5)=9
Solve for z
3z-5+2z=25-5z
Answer:
z=3
Step-by-step explanation:
1. collect like terms
5z-5=25-5z
2. Move the variable to the left hand side and change its sign
5z-5+5z=25
3. Collect like terms
10z=25+5
4. Divide both sides of the equation by 10
z=3
The solution to the equation is z = 3.
To solve for z in the equation 3z - 5 + 2z = 25 - 5z, we can simplify and combine like terms on both sides:
3z + 2z + 5z = 25 + 5
Combining the terms on the left side gives:
10z = 30
Next, we isolate the variable z by dividing both sides of the equation by 10:
(10z)/10 = 30/10
This simplifies to:
z = 3
Therefore, the solution to the equation is z = 3.
To know more about equation:
https://brainly.com/question/10724260
#SPJ6
Find the area of each triangle
8 yd
8 yd
Answer:
Area of triangles 1 = 18 ft²
Area of triangles 2 = 16 in²
Area of triangles 3 = 90 yd²
Step-by-step explanation:
Given:
1] Height of triangle = 4 ft
Base of triangle = 9 ft
2] Height of triangle = 4 in
Base of triangle = 8 in
3] Height of triangle = 12 yd
Base of triangle = 15 yd
Find:
Area of triangles
Computation:
Area of triangles = (1/2)(Base)(Height)
Area of triangles 1 = (1/2)(4)(9)
Area of triangles 1 = 18 ft²
Area of triangles 2 = (1/2)(4)(8)
Area of triangles 2 = 16 in²
Area of triangles 3 = (1/2)(12)(15)
Area of triangles 3 = 90 yd²
Pls help I need a good grade
Hello~
I used Cymath for this!
https://www.cymath.com/answer?q=(0.4%20*10%5E-6)%20(0.7%20*%2010%5E-2)
In short the answer is B.
The link has the step by step answers!
I highly recommend this sight by the way, its always correct!
Ary~
What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°
Answer:
30
Step-by-step explanation:
AIN is a vertical angle to FIL, which means they ae equal
FIL = 30 so AIN = 30
A jogger travelled 52km in 4 days.what is the rate he travelled per day?
52km multiply by 4(days)=208
What is the slope and y-intercept of 6x-5y=13
Answer:
The slope is 6/5 and the y intercept is -13/5
Step-by-step explanation:
6x-5y=13
Solve for y
Subtract 6x from each side
6x-6x-5y=-6x+13
-5y = -6x+13
Divide by -5
-5y/-5 = -6x/-5 +13/-5
y = +6/5x -13/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 6/5 and the y intercept is -13/5
Lisa played two rounds of
miniature golf. Her score was –3 in the
first round and +2 in the second round.
What was Lisa's score after two
rounds?
Answer:
-1 I think so.....
n please rate this
