Answer:
2^3=8
Step-by-step explanation:
A student said that the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius. What is the error?
Step-by-step explanation:
Let V be the volume of the cone.
The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.
If diameter is 4 inch, radius = 2 inch
Volume of the cone,
[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)
If radius, r = 2 inch
New volume,
[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)
We can see that the volume in both case is same. Hence, the student is correct.
Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2
Answer:
y = 12
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 4 when x = 6, then
4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
When x = 2 , then
y = [tex]\frac{24}{2}[/tex] = 12
Solve the rational equation:
9/x + 1/4 =2/x
Answer:
D, x=-28
Step-by-step explanation:
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]
Move [tex]\frac{9}{x}[/tex] over the equal sign
[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]
[tex]\frac{1}{4} =\frac{-7}{x}[/tex]
Cross multiply
[tex]4*-7/x[/tex]
[tex]\frac{-28}{x}[/tex]
[tex]x=-28[/tex]
Hope this is helpful
Find the slope
(-5,2) (-12,-11)
Answer:
m= 13/7
Step-by-step explanation:
(-5, 2) , (-12, -11)
Slope(m)
m= (y2-y1)/(x2-x1)
m= (-11 - 2)/(-12 + 5)
m= (-13)/(-7)
m= 13/7
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 3 x + 25 ) ∘ ∠A=(3x+25) ∘ and m ∠ B = ( 5 x − 7 ) ∘ ∠B=(5x−7) ∘ , then find the measure of ∠ A ∠A.
Answer:
52º
Step-by-step explanation:
Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:
3x + 25 + 5x - 7 = 90
8x + 18 = 90
8x = 72
x = 9
Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.
3(9) + 25 = 52º
Help me with this please
Which is a factor of x2 + 5x – 24?
(x - 6)
(x + 6)
(x - 8)
(x + 8)
Answer:
(x + 8)
Step-by-step explanation:
If you factor x2 + 5x – 24 using the AC method, it equals (x - 3) and (x + 8).
Answer:
D on edge :)
Step-by-step explanation:
someone help me it's due today
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
Can someone help me please
it's sideways take a better pic
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
EF = 6 cm and FG = 10 cm
EF = 7 cm and FG = 3 cm
EF = 15 cm and FG = 20 cm
EF = 25 cm and FG = 35 cm
Answer:
EF = 25 cm and FG = 35 cm
Step-by-step explanation:
After finding each scale factor for each of the 4 answers, only the last option is relatable. Every other option resulted in different numbers of EF and FG.
Answer:
D
Step-by-step explanation:
Willl give 100 points!!
Find the exact value of sine, cosine and tangent.
Answer:
Step-by-step explanation:
c i think
Delia flew 2,416 miles the first year on the job. She flew 3,719 miles the second year. Delia flew 2,076 more miles the third year than the first and second years combined. How many miles did Delia fly the third year?
Answer:
8211 miles
Step-by-step explanation:
Delia flew 2416 miles on the first year of the job
She flew 3719 miles on the second year of the job
She flew 2076 miles more than the first and second year combined on the third year
= 2416+3719
= 6135
= 6135+2076
= 8211
Hence Delia flew 8211 miles on the third year
What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?
Answer:
Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)
For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).
For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1
So the coordinate of the point is (-2,6)
Step-by-step explanation:
The set of all values that a function will return as outputs is called the _________ of the function.
Answer:
Range.
Step-by-step explanation:
In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.
Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.
For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.
Furthermore, the set of all values that a function will return as outputs is called the range of the function.
This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
China consumes 4 x 10^9 tons of coal, while japan about 2 x 10^8 tons of coal. Approximately how many times the amount of that japan consumed did china consumed
Answer:
20 times
Step-by-step explanation:
This is calculated as:
The number of coal China consumes ÷ The number of coal Japan consumes
The number of coal China consumes =4 × 10⁹
The number of coal Japan consumes
= 2 × 10⁸
4 × 10⁹/2 × 10⁸
= 20 times
Find the equation of the line through the points (-3,3) and (3,5) using point-slope form. Then rewrite the equation in slope-intercept form.
Given:
A line passes through the points (-3,3) and (3,5).
To find:
The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.
Solution:
It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-3}{3-(-3)}[/tex]
[tex]m=\dfrac{2}{6}[/tex]
[tex]m=\dfrac{1}{3}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The point slope form of the given line is:
[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]
[tex]y-3=\dfrac{1}{3}(x+3)[/tex]
The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].
We need to rewrite this equation in slope intercept form, i.e., [tex]y=mx+b[/tex], where m is slope and b is y-intercept.
The above equation can be rewritten as:
[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]
[tex]y-3=\dfrac{1}{3}(x)+1[/tex]
[tex]y=\dfrac{1}{3}(x)+1+3[/tex]
[tex]y=\dfrac{1}{3}(x)+4[/tex]
Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].
18. What is the greatest common factor of the terms 6q^5 – 21q^4 - 15q^2
A. 3q^2
B. 6q^2
C. 3q
D. 2q^2
Answer:
A. 3q^2
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
Answer:
can u please send the question again with clear picture of diagram?
Points A, B, C, and D are the vertices of a square. Points E and F are the center of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?
Answer:
8 sq units
Step-by-step explanation:
to find the area of shaded region:
area of square minus sum of areas of each semi-circle
A(square) = 6² = 36
A (semi-circle) = πr²/2
= π3²/2
= 4.5π
Since there are two semi-circles, that makes one complete circle with an area of 9π
A(circle) ≈ 28 sq units
36-28 = 8 sq units
30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade
Answer:
-45 =x
Step-by-step explanation:
1/5(4x-2.5) = 5(.4x+10) +3 1/2
Change all to decimal form
.2(4x-2.5) = 5(.4x+10) +3.5
Distribute
.8x - .5 = 2x +50 + 3.5
Combine like terms
.8x - .5 = 2x +53.5
Subtract .8x from each side
.8x-.8x - .5 = 2x-.8x +53.5
-.5 = 1.2x +53.5
Subtract 53.5 from each side
-.5 -53.5 = 1.2x +53.5-53.5
-54 = 1.2x
Divide each side by 1.2
-54/1.2 = 1.2x /1.2
-45 =x
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
(0, −6.5)
(2, −6.5)
(−1.5, 0)
(2.5, −6.5)
Answer:
(2, −6.5)
Step-by-step explanation:
The solution to a system of equations is where they intersect
They intersect near x = 2 y = -6.5
Answer:
(2, −6.5)
Step-by-step explanation:
Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage
Answer:
20% loss
Step-by-step explanation:
(32000-40000)/40000 * 100 = -20%
Answer:
Step-by-step explanation:
CP of a TV=40000
Sp of a TV=32000
here CP is greater than Sp so there is loss
loss=CP-SP
=40000-32000
=8000
loss%=loss amount/cp*100%
=8000/40000*100
=800000/40000
=20%
8.
If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k
Answer:
k = - 3.6
Step-by-step explanation:
Given x = - 2 is a zero then f(- 2) = 0
Substitute x = - 2 into the polynomial and equate to zero
(- 2)² - 7(- 2) + 5k = 0
4 + 14 + 5k = 0
18 + 5k = 0 ( subtract 18 from both sides )
5k = - 18 ( divide both sides by 5 )
k = - 3.6
What is 4³ written in expanded form?
Answer:
4³=4*4*4 is a required expanded form.
Answer this and I will brainliest
Which number sentence can be solved using this multiplication fact?
Answer:
The girl bought 5 apples, how many apples does she have after 6 times
(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong
Step-by-step explanation:
Hope this helps.
Please mark Brainliest!
In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?
Answer:
16 1/2 feet
Step-by-step explanation:
The above question is calculated as:
1/2 inch = 1 1/2 feet.
5 1/2 inches = x
Cross Multiply
1/2 inch × x = 5 1/2 inch × 1 1/2 feet
x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch
x = 11/2 × 3/2 ÷ 1/2
x = 11/2 × 3/2 × 2/1
x = 33/2 feet
x = 16 1/2 feet
Therefore, the actual length of the kitchen is 16 1/2 feet
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation: