Answer:
the answer on e2020 is 12.
The required answer is,
f(x) + f(x) + f(x) = 3ax² + 3bx + 3c
3f(x) = 3ax² + 3bx + 3c
3f(2) = 12a + 6b + 3c
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Now let the function be,
f(x) = ax² + bx + c
To find,
f(x) + f(x) + f(x)
we have,
f(x) + f(x) + f(x) = (ax² + bx + c) + (ax² + bx + c) + (ax² + bx + c)
⇒ f(x) + f(x) + f(x) = 3(ax² + bx + c)
or, f(x) + f(x) + f(x) = 3ax² + 3bx + 3c
Similarly,
3f(x) = 3(ax² + bx + c)
or, 3f(x) = 3ax² + 3bx + 3c
now to find f(2), put x = 2 in f(x). we get,
f(2) = a2² + b2 + c
or, f(2) = 4a + 2b + c
Therefore,
3f(2) = 3(4a + 2b + c)
or, 3f(2) = 12a + 6b + 3c
hence, the required answer is,
f(x) + f(x) + f(x) = 3ax² + 3bx + 3c
3f(x) = 3ax² + 3bx + 3c
3f(2) = 12a + 6b + 3c
To learn more about function :
https://brainly.com/question/20655070
#SPJ2
16. Find the determinant of K.
A. 913
B. 1
C. 671
D. 597
Answer:
D. 597
Step-by-step explanation:
This question is on finding the inverse of a 3×3 matrix
The general formula of finding a 3×3 matrix is given by;
[tex]A=\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right] = a.D\left[\begin{array}{ccc}e&f&\\h&i&\\&&\end{array}\right] -b.D\left[\begin{array}{ccc}d&f&\\g&i&\\&&\end{array}\right] + c.D\left[\begin{array}{ccc}d&e&\\g&h&\\&&\end{array}\right][/tex]
where D is determinant
Given ;
[tex]k=\left[\begin{array}{ccc}14&-13&0\\3&8&-1\\-10&-2&5\end{array}\right] then ;\\\\\\\\ =14 D \left[\begin{array}{ccc}8&-1&\\-2&5&\\&&\end{array}\right] -13D\left[\begin{array}{ccc}3&-1&\\-10&5&\\&&\end{array}\right] + 0.D\left[\begin{array}{ccc}3&8&\\-10&-2&\\&&\end{array}\right][/tex]
= 14 [ 40-2] - -13[ 15-10] + 0
=14 [38] - [-65]+0
=532+65
=597
JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale. If JA = 13, AL = 19, and CK = 7, what is the perimeter of JkL?
The perimeter of the ΔJkL is 78 units .
What is perimeter?Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.
How to find the perimeter?This question will be solved using circle tangent theorem. Recalling circle tangent theorem. This theorem states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments. So by this theorem, we can have J, L and K as an external points.
So JA = JB = 13
and LA = LC= 19
KC = KB =7
so perimeter of triangle JKL,
Perimeter = JA + AL + LC + CK + KB + BL
Perimeter = 13 + 13 +19 +19+ 7+ 7
Perimeter = 78 units
Learn more about the perimeter here: https://brainly.com/question/27705426
#SPJ2
Let's use the properties of tangents to a circle to find the perimeter of triangle JKL.
First, some basic properties of tangents to a circle that are relevant to this problem:
1. Tangent segments to a circle that are drawn from the same external point are equal in length.
2. If two tangent segments are drawn from the same external point to a circle, the lines joining the points of tangency to the external point form a triangle with the segment that joins the two points of tangency.
Using this information, let's analyze the given lengths:
- JA = 13: This means that JK, the tangent from point J to the point of tangency on the circle (which we will call point K), is also 13 units long because JK is also tangent to the circle from point J.
- AL = 19: This means that JL, the tangent from point J to the point of tangency on the circle (which we will call point L), is also 19 units long because JL is also tangent to the circle from point J.
- CK = 7: This means that CL, the tangent from point C to the point of tangency on the circle (which we will call point L), is also 7 units long because CL is also tangent to the circle from point C.
Now, let's find the length of KL.
Since AL and CL are both tangents from point L to the circle, and we've established that AL = 19 and CL = 7, the full length of KL, which is the segment from K to L, is the sum of AL and CL:
KL = AL + CL
KL = 19 + 7
KL = 26 units long
Now, we have the lengths of all three sides of triangle JKL:
- JK = 13 units (since it's the same length as JA)
- KL = 26 units
- LJ = 19 units (since it's the same length as AL)
The perimeter of a triangle is the sum of the lengths of its sides, so the perimeter of triangle JKL is:
Perimeter of JKL = JK + KL + LJ
Perimeter of JKL = 13 + 26 + 19
Perimeter of JKL = 58 units
Therefore, the perimeter of triangle JKL is 58 units.
Which table shows a proportional relationship between x and y?
Answer:c
Step-by-step explanation:
Answer: D because they are all corresponding numbers.
Calculate the distance between (4,9) and (-2,6) using the distance formula.
Answer:
[tex]\large\boxed{d=3\sqrt5}[/tex]
Step-by-step explanation:
[tex]\text{the formula of a distance between two points}\ A(x_1,\ y_1)\ \text{and}\ B(x_2,\ y_2):\\\\|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=========================\\\\\text{We have}\ (4,\ 9)\ \text{and}\ (-2,\ 6).\ \text{Substitute:}\\\\d=\sqrt{(-2-4)^2+(6-9)^2}=\sqrt{(-6)^2+(-3)^2}=\sqrt{36+9}=\sqrt{45}\\\\\sqrt{45}=\sqrt{9\cdot5}=\sqrt9\cdot\sqrt5=3\sqrt5[/tex]
The distance between the points (4, 9) and (-2, 6) is approximately 6.71 units.
Identify the coordinates:
Let (x₁, y₁) = (4, 9) and (x₂, y₂) = (-2, 6).
Apply the distance formula:
The distance formula is given by:
d=√[tex]\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} )^{2} }[/tex]
Substitute the coordinates into the formula:
d= [tex]\sqrt{((-2)-4)^{2} +(6-9)^{2} }[/tex]²
Simplify the terms inside the square root:
d=[tex]\sqrt{(-6)^{2} +(-3)^{2} }[/tex]
d=[tex]\sqrt{36+9}[/tex]
d=[tex]\sqrt{45}[/tex]
Simplifying further, we get:
d≈6.71
One number is 4 more than another. The difference between their squares is 128. What are the numbers?
Smaller number=___
Larger number=___
Answer:
14 and 18
Step-by-step explanation:
Small number : a
Larger number : a + 4
( a + 4 )^2 - a^2 = 128
a^2 + 8 a + 16 = 128
8 a = 128 - 16
a = 112 / 8
a = 14
And a + 4 = 18
Please Help! Asap! I’m on a deadline!!
Answer:
the diagonals intersect at right angle i.e. slope of AC = - 1/ slope of BD and
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂
so, the parallelogram is rhombus.
Step-by-step explanation:
A parallelogram is a rhombus if diagonals intersect each other at right angle and the diagonals intersect at mid point.
We are given vertices:
A(-3,2)
B(-2,6)
C(2,7)
D(1,3)
The diagonals of the parallelogram will be:
AC and BD.
Slope of AC = y₂ - y₁ / x₂- x₁ where A = (-3,2) and C = (2,7)
Putting values:
Slope of AC = 7-2/2-(-3) = 5/5
Slope of AC = 1
Slope of BD = y₂ - y₁ / x₂- x₁ where B = (-2,6) and D = (1,3)
Putting values:
Slope of BD = 3-(6) / 1-(-2) = -3/3
Slope of BD = -1
AS, Slope of AC = - 1/ Slope of BD
So, the diagonals intersect and right angle.
Now finding the mid point Z₁ of AC and Z₂ of BD:
Midpoint of AC = Z₁ = A+C/2
Putting values:
=(-3,2) + (2,7) / 2
= (-1,9)/2
= (-1/2, 9/2)
Mid point of BD = Z₂ = B+D / 2
Putting values:
=(-2,6) + (1,3) / 2
= (-1,9)/2
= (-1/2, 9/2)
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂ i.e.
Z₁ = Z₂, the diagonals intersect at the same midpoint.
As,
the diagonals intersect at right angle i.e. slope of AC = - 1/ slope of BD and
Midpoint of AC = Z₁ is equal to Mid point of BD = Z₂
so, the parallelogram is rhombus.
Find the equation in standard form of the line parallel to y=-1/5x+7 and passing through the point (-10,-3)
Answer:
the desired equation is y = (-1/5)x - 5.
Step-by-step explanation:
Parallel lines have the same slope. Here that slope is -1/5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
We know this new line passes through (-10, -3). Substitute -3 for y in y = mx + b, as well as -10 for x and -1/5 for m:
-3 = (-1/5)(-10) + b and solve for b:
-3 = 2 + b. Then b = -5, and the desired equation is y = (-1/5)x - 5.
A band that usually plays for 60 minutes
played for 75 minutes. What was the
percent of increase in the time played?
A. 15%
B. 20%
C. 25%
D. 30%
Answer:
C. 25%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased time, 75 minutes, and the old number is the original time, 60 minutes.
percent change = (75 min - 60 min)/(60 min) * 100%
percent change = (15 min)/(60 min) * 100%
percent change = 0.25 * 100%
percent change = 25%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 25%.
Answer: C. 25%
What is the circumference of a circle with a diameter of 7 inches? (use for pi) PLEASE HELP ASAP
Answer:
C = 7pi = 21.98 inches
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
where d is the diameter
C = pi * 7
If we use 3.14 as an approximation for pi
C = 3.14 * 7
C =21.98 in
which is most likely the solution to the system of equations shown?
Answer:
The answer is G. (-2,3)
Step-by-step explanation:
The point where they meet is (-2,3), therefore that is the solution. Hope that helps! :)
Multiply ( 3 x -5)(-x+4) applying The drifters tribute of property that expression becomes (3x )(- x )+( 3 x)( 4 )+( -5 )(-x)+(-5)(4) what is the simplified product in standard form?
For this case we must multiply the following expression:
[tex](3x-5) (- x + 4)[/tex]
We must apply distributive property, which by definition establishes that:[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
[tex](3x-5) (- x + 4) = (3x) (- x) + (3x) (4) + (- 5) (- x) + (- 5) (4) = - 3x ^ 2 + 12x + 5x-20 = -3x ^ 2 + 17x-20[/tex]
Answer:
[tex]-3x ^ 2 + 17x-20[/tex]
Plz answer both for me plz
Answer:
[tex]\large\boxed{\text{Table 1:}\ y=4x+1}\\\boxed{\text{Table 2:}\ y=\dfrac{1}{2}x-1}[/tex]
Step-by-step explanation:
Tables show linear functions.
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
===================================================
Table 1:
(0, 1) → b = 1, (1, 5)
[tex]m=\dfrac{5-1}{1-0}=\dfrac{4}{1}=4\\\\y=4x+1[/tex]
Table 2:
(4, 1), (6, 2)
[tex]m=\dfrac{2-1}{6-4}=\dfrac{1}{2}\\\\y=\dfrac{1}{2}x+b[/tex]
Put the coordinateso f the point (4, 1) to the equation of a line:
[tex]1=\dfrac{1}{2}(4)+b[/tex]
[tex]1=2+b[/tex] subtract 2 from both sides
[tex]-1=b\to b=-1[/tex]
[tex]y=\dfrac{1}{2}x-1[/tex]
Ezra is saving money to buy a snowboard that costs $225. He already has $45 and can earn the rest by walking ten dogs. If d represents how much he earns for walking each dog, which of the following equations can be solved to find how much Ezra is paid for walking each dog?
A. 225 = 45d – 10
B. 225 – 45 = 10d
C. 25 + 45 = 10d
D. 45 = 225 – d
Answer:
B. 225 - 45 = 10d
Step-by-step explanation:
The remainder Ezra needs to save can be earned by walking ten dogs.
Let remainder = r
Let dogs = d
This means:
r = 10d
Make 'r' numerical values.
r = Total cost of snowboard - Current savings
r = $225 - $45
Therefore:
225 - 45 = 10d
The equations that can be solved to find how much Ezra is paid for walking each dog is B. 225 - 45 = 10d.
What is the subject in an equation?The subject in an equation is the/a variable(s) we're solving the equation for.
Usually, we want it to stay separated and clean without mixing with other constants or variables so that its value is clearly visible.
Ezra is saving money to buy a snowboard that costs $225.
He already has $45 and can earn the rest by walking ten dogs.
If d represents how much he earns for walking each dog,
Let r be the remainder that needs to save can be earned by walking ten dogs.
So,
r = 10d
Make 'r' numerical values.
r = Total cost of snowboard - Current savings
r = $225 - $45
Therefore,
225 - 45 = 10d
Learn more about subject in an equation here:
https://brainly.com/question/14780696
#SPJ2
The students in Nora's class chose between two options for an assignment.5/8 of the students chose option 1. If there are 32 students in Nora's class how many chose option 1? .20.24.15.28.
Answer:20 students chose option 1
Step-by-step explanation:
20 students chose option 1
answer
Answer:
20
Step-by-step explanation:
In the sentence of = multiply. So you multiply 5/8 x 32
5/8 x 32/1 next you simply
5/1 x 4/1 =20/1 = 20
18. Recall that 0°C = 32°F and 100°C = 212°F.
a. Using x for degrees Celsius and y for degrees Fahrenheit, find
an equation of the line passing through (0, 32) and (100, 212).
b. What is the slope of the line? Explain what the slope means in
terms of degrees Celsius and degrees Fahrenheit.
c. What is the y-intercept of the line? Explain what the y-intercept
means in terms of degrees Celsius and degrees Fahrenheit.
Answer:
Part a) The equation of the line is
[tex]y-32=1.8(x-0)[/tex] or [tex]y=1.8x+32[/tex]
Part b) The slope of the line is [tex]m=1.8\frac{\°F}{\°C}[/tex]
Part c) The y-intercept is 32 (For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32)
Step-by-step explanation:
Let
x ----> degrees Celsius
y ----> degrees Fahrenheit
we have the points
[tex](0,32),(100,212)[/tex]
Part a) Find the equation of the line
Find the slope m
[tex]m=(212-32)/(100-0)[/tex]
[tex]m=180/100[/tex]
[tex]m=1.8\frac{\°F}{\°C}[/tex]
The equation of the line into slope point form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1.8\frac{\°F}{\°C}[/tex]
Point [tex](0,32)[/tex]
substitute
[tex]y-32=1.8(x-0)[/tex] ----> equation of the line into slope point form
[tex]y=1.8x+32[/tex] ---> equation of the line into slope intercept form
Part b) What is the slope of the line?
The slope of the line is [tex]m=1.8\frac{\°F}{\°C}[/tex]
That means
The rate of change of the temperature is 1.8 degrees Fahrenheit by each degree Celsius
Part c) What is the y-intercept of the line?
we have
[tex]y=1.8x+32[/tex] ---> equation of the line into slope intercept form
The y-intercept is 32
The y-intercept is the value of y when the value of x is equal to zero
That means
For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32
What is the solution to the system of equations?
-3x-3y+2z=-7
z=1
-2x-3y+z=-6
A.(2, 1, –1)
B.(2, 1, 1)
C.(2, –1, 1)
D.(–2, 1, 1)
Answer:
B(2,1,1)
Step-by-step explanation:
Given:
-3x-3y+2z=-7
z=1
-2x-3y+z=-6
Let -3x-3y+2z=-7 be equation i, z=1 be equation ii and -2x-3y+z=-6 be equation iii
Solving the system of simultaneous equation by substituting value of z from equation ii to i , we get:
-3x-3y+2=-7
-3x-3y=-7-2
-3x-3y=-9 -------iv
Solving the system of simultaneous equation by substituting value of z from equation ii to iii, we get:
-2x-3y+1=-6
-2x-3y=-6-1
-2x-3y=-7
re-arranging the above equation, we get
3y=-2x+7
substituting value of 3y from above in equation iv, we get
-3x-(-2x+7)=-9
-3x+2x-7=-9
-x=-9+7
-x=-2
x=2
Now putting x=1 from above in equation v, we get
3y=-2(2) +7
3y=-4+7
3y=3
y=3/3
y=1
Hence the solution of system of given equations is (2,1,1) !
The answer is:
The correct option is B.(2, 1, 1)
Why?We can solve the system of equations by using the reduction method. The reduction method consists of reducing the variables in order to be able to calculate the other variables to finally calculate all the variables.
We are given the equations:
I.
[tex]-3x-3y+2z=-7[/tex]
II.
[tex]z=1[/tex]
II.
[tex]-2x-3y+z=-6[/tex]
Since the second equation is already solved, let's work with the first and third one, so, calculating we have:
[tex]\left \{ {{-3x-3y+2z=-7} \atop {-2x-3y+z=-6}} \right.[/tex]
Now, multiplying the first equation by -1 in order to reduce the variable "y", we have:
[tex]\left \{ {{3x+3y-2z=7} \atop {-2x-3y+z=-6}} \right\\\\x-z=1[/tex]
Then, substituting "z" into the obtained equation:
[tex]x-1=1\\x=1+1=2[/tex]
Now, substituting "x" and "z" into the first equation, we have:
[tex]-3x-3y+2z=-7[/tex]
[tex]-3*(2)-3y+2*(1)=-7[/tex]
[tex]-6-3y+2=-7[/tex]
[tex]-3y-4=-7[/tex]
[tex]-3y=-7+4[/tex]
[tex]-3y=-3[/tex]
[tex]y=\frac{-3}{-3}=1[/tex]
Hence, we have that the solutions are:
[tex]x=2\\y=1\\z=1[/tex]
So, the correct option is B.(2, 1, 1)
Have a nice day!
if f(x)=7x-3 and g(x)=x^2-4x-8, Find (f+g)(x)
Answer:
Step-by-step explanation:
The value of (f+g)(x) is x^2 + 3x - 11
You can combine this by simply adding the like terms. Start by adding together all of the x^2 terms. Since only g(x) has one of those, we use that in its entirety.
x^2
Next we add together the x terms. f(x) has 7x and g(x) has -4x.
7x + -4x = 3x
Finally, we add together the constants. f(x) has -3 and g(x) has -8.
-3 + -8 = -11
With all of the like terms combined, we simply take the answers and put them together.
x^2 + 3x - 11
Read more on Brainly.com - https://brainly.com/question/10711144#readmore
For this case we have the following functions:
[tex]f (x) = 7x-3\\g (x) = x ^ 2-4x-8[/tex]
We must find [tex](f + g) (x):[/tex]
By definition we have to:
[tex](f + g) (x) = f (x) + g (x)\\(f + g) (x) = 7x-3 + x ^ 2-4x-8[/tex]
We add similar terms, taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.
[tex](f + g) (x) = x ^ 2 + 3x-11[/tex]
Answer:
[tex](f + g) (x) = x ^ 2 + 3x-11[/tex]
What are the inequalities for:
x is less than 8 and greater than 3
x is less than 4 and greater than -2
x is greater than 12 and less than or equal to 17
Answer:
3 < x < 8
-2 < x < 4
12 < x ≤ 17
Step-by-step explanation:
x is less than 8 and greater than 3
i.e 3 < x < 8
x is less than 4 and greater than -2
i.e -2 < x < 4
x is greater than 12 and less than or equal to 17
i.e 12 < x ≤ 17
Which equation is correct
Answers choices
Sin G= 8/15
Cos G=8/15
Cos G=15/17
Sin G=15/17
For this case we have to define trigonometric relations of rectangular triangles that:
The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.Then, according to the figure we have:
[tex]Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}[/tex]
Answer:
[tex]Sin (G) = \frac {15} {17}[/tex]
Option D
What is the zero of the following function
Answer:
A. [tex]x=-6[/tex]
Step-by-step explanation:
The zero of a function refers to the x-intercept of the graph of the function.
It is also the solution or the root of the function.
From the graph, the curve intersects the x-axis at x=-6.
Therefore the zero of the given function is:
[tex]x=-6[/tex]
The correct answer is A.
Estimate the circumference of a circle that has a radius of 11 m simplify it.
ANSWER
[tex]C=22\pi \: m[/tex]
EXPLANATION
The circumference of a circle is calculated using the formula:
[tex]C=2\pi \: r[/tex]
where r=11 meters is the radius of the circle.
Let us substitute the radius into the formula to obtain,
[tex]C=2\pi \: \times 11[/tex]
This simplifies to:
[tex]C=22\pi[/tex]
When we substitute
[tex]\pi = 3.14[/tex]
We get
[tex]C=22(3.14) = 69.08m[/tex]
to the nearest hundredth.
The triangle has side lengths of 25 in, 26in, and 3.5 in. Classify acute, obtuse, or right
Answer:
Obtuse triangle
Step-by-step explanation:
The longest side of the triangle is 26 in, so that will be the hypotenuse.
By an extension of the Pythagorean theorem:
Right triangle: a² + b² = c²Acute triangle: a² + b² > c²Obtuse triangle: a² + b² < c²Where a and b are the legs, and c is the hypotenuse.
Plug in: 3.5² + 25² ₙ 26²
Powers: 12.25 + 625 ₙ 676
Add: 637.25 < 676.
That means that this triangle is obtuse.
Answer:
Obtuse
Step-by-step explanation:
Using law of cosine, we can find the angle between the shorter sides:
c² = a² + b² − 2ab cos C
26² = 25² + 3.5² − 2(25)(3.5) cos C
cos C ≈ -0.221
C ≈ 102.8°
102.8° is greater than 90°, so the triangle is obtuse.
Write these numbers in standard notation
3.05 x 10–3
- I think if it was standard notation then it would be 3.05 * 10 = 30.5 - 3 = 27.5.
Expand each expression
Answer:
5log(a) +2log(b)
Step-by-step explanation:
you were close, but you dont multiply the exponents together since a and b are two different variables
Answer:
[tex]5\log(a)+2\log(b)[/tex]
Step-by-step explanation:
The logarithm of a product is the sum of the logarithms:
[tex]\log(a^5b^2) = \log(a^5)+\log(b^2)[/tex]
By the same rule, we have [tex]\log(a^n)=n\log(a)[/tex]:
[tex]\log(a^5)+\log(b^2) = 5\log(a)+2\log(b)[/tex]
A paint can has a radius of 9.5 centimeters and a height of 28 centimeters. How
many cubic centimeters of paint will fill the can?
A) 31,739.12 cm3
B) 7934.78 cm3
C) 835.24 cm3
D) 3340.96 cm3
Answer: Option B.
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the paint can has a radius of 9.5 centimeters and a height of 28 centimeters:
[tex]r=9.5cm\\h=28cm[/tex]
Then, you need to substitute these values into [tex]V=\pi r^2h[/tex] to get the final result (In this case you can use [tex]\pi=3.14[/tex])
[tex]V=(3.14) (9.5cm)^2(28cm)[/tex]
[tex]V=7934.78cm^3[/tex]
What is the volume of a cylinder that has a diameter of 22km and a height of 7km
The volume of a cylinder with a given diameter and height using the formula V = πr²h is equal to 8471π km³.
The volume of the cylinder can be calculated using the formula for the volume of a cylinder: V = πr²h.
Given a diameter of 22 km (which means a radius of 11 km) and a height of 7 km, substitute these values into the formula to find the volume.
Substitute the values into the formula:
V = π × (11 km)²×7 km
Calculate the volume:
V = 8471π km³
Therefore, the volume is 8471π km³.
i need help please ill give you 20 points
Answer:
B
Step-by-step explanation:
221-60=161 which means that you can be 161 max to ride with your friend in the same car.
i just saw this too and someone else said b so yeth
What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?
2x²+x-3. The quotient resulting of the division of the polynomial [tex](2x^{4} -3x^{3} -3x^{2} +7x-3)[/tex] ÷[tex](x^{2} -2x+1)[/tex] is 2x²+x-3.
In order to find the quotient we have to apply the division of the polynomial [tex](2x^{4} -3x^{3} -3x^{2} +7x-3)[/tex] ÷[tex](x^{2} -2x+1)[/tex] is 2x²+x-3.
We divide the first monomial of the dividend [tex](2x^{4})[/tex] between the first monomial of the divisor [tex](x^{2})[/tex].
(2x^{4})÷[tex](x^{2})[/tex]=[tex]2x^{2}[/tex]
This result [tex]2x^{2}[/tex] is put under the box and we multiply it by each term of the divisor polynomial and the result is subtracted in the polynomial dividend:
2x^4 -3x^3 -3x^2 +7x -3 ║ x^2 -2x +1
-2x^2+4x^3 -2x^2 ║ 2x^2+x-3 -----------> This is the quotient
x^3 -5x^2 +7x -3
-x^3 +2x^2 - x +0
-3x^2 +6x -3
3x^2 -6x +3
0
Answer:
The correct answer is,
2x² + x - 3
Step-by-step explanation:
It is given that,
(2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)
To find the quotient
2x² + x - 3
x² - 2x + 1 | 2x4 – 3x3 – 3x2 + 7x – 3
2x⁴ - 4x³ + 2x²
x³ - 5x² + 7x
x³ - 2x² + x
-3x² + 8x - 3
-3x² + 6x - 3
2x
Therefore the quotient is 2x² + x - 3
x divided by 12 = 12 divided by 72
Answer:
The equation to calculate what divided by 72 equals 12 is as follows:
X/72 = 12
Where X is the answer. When we solve the equation by multiplying each side by 72, you get get:
X = 864
Therefore, the answer to what divided by 72 equals 12 is 864.
I hope it helps!!
To find the value of x in the equation x/12 = 12/72, simplify 12/72 to get 1/6. Then, multiply both sides by 12 to solve for x, resulting in x = 2.
To solve the equation x divided by 12 = 12 divided by 72, we need to perform some algebraic manipulation to isolate x. First, rewrite the equation as a fraction:
x/12 = 12/72Next, simplify the fraction on the right-hand side:
12/72 = 1/6 (since 12 is 1/6th of 72)Now the equation looks like this:
x/12 = 1/6To solve for x, multiply both sides of the equation by 12:
x = 12 × 1/6x = 2So, the value of x is 2.
The charge for a plumbing repair was $29.60 for parts, 1 1/4 hr. For labor at $56 per hr. And a $40 for the service call. What was the total cost (c) of the repair?
Answer: $139.60
Step-by-step explanation:
$40 for coming
$29.60 for parts
56 times 1.25 for labor = 70
70 + 29.6 + 40 = 139.6
The total cost (c) of the repair is given by the sum of the costs for parts, labor, and the service call that is [tex]\$139.60[/tex]
First, we calculate the labor cost. The plumber charged $56 per hour and worked for 1 1/4 hours. To find the total labor cost, we multiply the hourly rate by the time worked:
Labor cost = [tex]hourly \ rate \times \ time \ worked[/tex]
Labor cost =[tex]\$56 \times 1 1/4 hours[/tex]
Labor cost =[tex]\$56 \times (1 + 1/4) hours[/tex]
Labor cost = [tex]\$56 \times (5/4) hours[/tex]
Labor cost = [tex]\$56 \times 1.25 hours[/tex]
Labor cost = $70
Next, we add the cost for parts and the service call to the labor cost to find the total cost:
Total cost (c) = cost for parts + labor cost + service call cost
Total cost (c) = $29.60 + $70 + $40
Total cost (c) = $139.60