Answer:
2d^0.7
Step-by-step explanation:
f(4) =
If g(x) = 2, x =
Sososos
Step-by-step explanation:
Find the total surface area of this triangular prism...
Answer:
144 cm^2
Step-by-step explanation:
8x6+4x10+4x8+4x6
48+40+32+24
80+40+24
120+24
144
19. Solve for g: 5 / 8 = 12 / g
Answer:
19.2Solution,
[tex] \frac{5}{8} = \frac{12}{g} \\ or \: 5 \times g = 12 \times 8 \: ( \: cross \: multiplication) \\ or \: 5g = 96 \\ or \: g = \frac{96}{5} \\ g = 19.2[/tex]
Hope this helps..
Good luck on your assignment...
Answer:
Step-by-step explanation:
5/8=12/g
*8 *8
5=12*8/g
*g *g
5g=12*8=96
:5 :5
g=96/5
g=19.2
Matt invested $1500 into a stock of his choice. After two years, he had received
$400 in dividends. He sold the stock and received a total of $1600. What is Matt's
rate of return on investment?
For this question, the time given confuses me. I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note: In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
hope this helped you ;)
Matt probably would have got about a 5% return on a good stock.
How to find the rate of return?The rate of return is just the total return divided by investment.
Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.
Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.
In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
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If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?
Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$?
Answer:
16.59
Step-by-step explanation:
Given:
[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]
Expanding the left hand side, we have:
[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]
Therefore:
[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]
To find the minimum value, we take the derivative and solve for its critical point.
[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]
Recall that:
[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]
The minimum possible value of the coefficient of x is 16.59.
Answer:
173
Step-by-step explanation:
For sympliciy let the box equal y.
Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].
A shoe maker made 3 new soles every 4 minutes. Another shoe maker made 2 soles every 3 minutes. What was the difference in the number of soles they made in an hour? USE A RATIO OR PROPORTION TO ANSWER THIS PLS.
Answer:
45:40
Step-by-step explanation:
You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer
Chloe discovers that her rectangular shed is 6 feet longer than three times the width. If the perimeter of the shed is 100 feet, find the dimensions. (Recall: the perimeter of a rectangle is given by the formula P = 2 L + 2 W .)
Answer:
11 feet by 39 feet.
Step-by-step explanation:
In this case, the perimeter, P, is 100 ft.
If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.
So, we have an equation: P = 2 * L + 2 * W.
100 = 2 * (6 + 3W) + 2 * W
100 = 12 + 6W + 2W
100 = 12 + 8W
8W + 12 = 100
8W = 88
W = 11
And so, we know that the width is 11 feet.
To solve for the length...
L = 6 + 3W
L = 6 + 3 * 11
L = 6 + 33
L = 39
So, the length is 39 feet.
Now, you have the dimensions of the shed: 11 feet by 39 feet.
Hope this helps!
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
answer below these questions
rule: little x means times not the other way round
A: 3X^2Y^4 x 2X^6Y
B: XZ^3 x 4X^4Z^5
C: 4A^3^2 x 3A^6B^5
D: 6S^5T x S^4T^2
Answer:
A: 6x⁸y⁵
B: 4x⁵z⁸
C: 48a¹²b⁵
D: 6s⁹t³
Step-by-step explanation:
When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,
3x²2y⁴(2x⁶y)
6x⁸y⁵
xz³(4x⁴z⁵)
4x⁵z⁸
(4a³)²(3a⁶b⁵)
16a⁶(3a⁶b⁵)
48a¹²b⁵
6s⁵t(s⁴t²)
6s⁹t³
Determine which postulate or theorem can be used to prove that ABC =
DCB.
Pls answer fast
Answer:
B
Step-by-step explanation:
The postulate that can be used to link both triangles is AAS which means Angle Angle side
From the diagram, we can see that we have 2 equal angles and one side in between the two triangles
This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles
what is the next term for this sequence: 5,7,3,9,1,11,?
Answer:
-1
Step-by-step explanation:
each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)
Help please ASAP :) please give answers to both questions
Answer:
2 cm
10 cm
Step-by-step explanation:
14/7 = 2
This helps to find because area of rectangle = bh or base times height.
A = 1/2 bh
30 = 1/2 b 6
30 = 3b
b = 10
Answer:
b = 2 cm
b = 10 cm
Step-by-step explanation:
Area of a Rectangle: A = lw
Area of a Triangle: A = 1/2bh
We are given area and length, so simply plug it in:
14 = 7w
w = 2 cm
We are given area and height, so simply plug it in:
30 = 1/2(6)(b)
30 = 3b
b = 10 cm
the question is 1/2 of 5 =
Answer:
2.5
Step-by-step explanation:
1/2x5=?
5/2=?
2.5=?
Answer:
[tex]\boxed{2.5}[/tex]
Step-by-step explanation:
=> [tex]\frac{1}{2} of 5[/tex]
The word "of" means "to multiply"
=> [tex]\frac{1}{2} * 5[/tex]
=> [tex]\frac{1*5}{2}[/tex]
=> [tex]\frac{5}{2}[/tex]
=> 2.5
HELPPP DO NOT LOOK IT UP PLS
Salt is falling on a Conical pile of 6 cubic meters per minute. The diameter of the cone is twice the height, what is the rate the height is changing when the pile is 9 meters tall.
Answer:
0.0236 m per minute,
Step-by-step explanation:
Volume of the cone V = 1/3 π r^2 h.
Diameter = 2r = 2h so r = h
and V = 1/3 π h^3
So the rate of change of volume with height =
dV / dh = π h^2.
We are given that dV/dt = 6.
So the rate of change of height: dh/dt = dV/dt * dh/dV
= 6 * 1/ π h^2
When h = 9
dh/dt = 6 / 81π m per minute
= 0.0236 m per minute,
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Answer:
1/25
Step-by-step explanation:
The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
Given,
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.
We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.
What is a combination?A combination is used to select required items from a set where the order of selection does not matter.
It is given by:
n^Cr = n! / r! (n-r)!
Where n = the number of elements present in a set.
Find the number of each marble.
Red marbles - 4
Green marbles - 6
Yellow marbles - 8
Blue marbles - 2
Find the probability of drawing a blue marble
P ( B ) = ^2C_1 / ^20C_1
= (2! / 1!) / (20! / 19! 1!)
= 2 / 20
= 1/10
Find the probability of drawing a yellow marble
P ( Y ) = ^8C_1 / ^20C_1
= (8! / 1! 7!) / (20! / 191 1!)
= 8 / 20
= 2 / 5
Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Both the probability is independent so,
P = P ( B ) X P ( Y )
= 1/ 10 X 2 / 5
= 1 / 25
Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
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(x2 + 4x) - 2x = x2 +
X
Answer:
x=0
Step-by-step explanation:
(x^2 + 4x) - 2x = x^2 +x
Combine like terms
x^2 +2x = x^2 +x
Subtract x^2 from each side
2x =x
Subtract x from each
2x-x = x-x
x = 0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-2x=x^2+x[/tex]
Combine like terms.
[tex]x^2+2x=x^2+x[/tex]
Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.
[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]
[tex]0=x-2x[/tex]
[tex]0=-1x[/tex]
Divide both sides by [tex]-1[/tex].
[tex]\frac{0}{-1} =\frac{-1x}{-1}[/tex]
[tex]0=x[/tex]
which equation has roots of 3plus or minus sqare rt 2?
Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!
In the following figure name the exterior and remote interior angles.
PLEASE HELP!!!
Answer:
The exterior angle is angle 4. The remote interior angles are 1 and 2.
Step-by-step explanation:
An exterior angle is an angle that is between a side of the shape and a line extended from the side next to it.
Remote interior angles in a triangle are the two angles that are not a linear pair with the exterior angle. (A linear pair is a pair of angles that add up to 180 degrees and form a line.) Essentially, the they are the two angles not next to the exterior angle. As a side note, if you add up the measures of the remote interior angles, the sum will be equal to the measure of the exterior angle.
If any of this is confusing, feel free to ask for clarification. I hope this helps! ☺
how to do this question plz answer
Answer: 28
Step-by-step explanation:
The shape is grouped into 4 identical parallelograms.
Thus, as the combined area of the figure is 308, you can divide 308/4 to get 77. Thus, each parallelogram has an area of 77.
Then, divide 14/2 to get that the height of each parallelogram is 7.
The area of a parallelogram is l*w. Thus, because l = 7, each parallelogram has a width of 11 because 77/7 = 11.
Then, simply add 11+11+6 to get y.
Hope this helps <3
if f(x) = 4x-20 , what is f(4) A.16 B. 4 C. -12 D. -4
Answer:
D. -4
Step-by-step explanation:
f(x) = 4x - 20
f(4) = 4(4) - 20
f(4) = 16 - 20
f(4) = -4
Answer: -4
Step-by-step explanation: f ( x ) = 4x - 20
just replace the x with 4 and solve
4 ( 4 ) - 20
16 - 20
= -4
Please help me with this. Attention all smart people!!!
Answer: CPCTC
Step-by-step explanation:
because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
By CPCT [Corresponding Part of congruent Triangle]
<h=<j
hope i helped
-lvr
I am confused on how to answer this question, please help
Answer:
r = 3x.
Step-by-step explanation:
The volume of the cylinder = πr^2 h
= π (2x)^2 9x
= 36x^3 π
This is also the volume of the sphere so
36 x^3 π = 4/3 π r^3
36x^3 = 4/3 r^3
r^3 = 36 x^3 * 3/4
r^3 = 27 x^3
r = cube root of 27 x^3
r = 3x.
A physical count of supplies on hand at the end of may for Masters, inc. Indicated $1,253 of supplies on hand. The general leger balance before any adjusting is $2,130. What is the adjusting entry for office supplies that should be recorded on may 31?
Answer: Debit Supplies Expense $877 and credit Supplies $877
Step-by-step explanation:
From the question, we are informed that a physical count of supplies on hand at the end of may for Masters, inc. showed $1,253 of supplies on hand while the general leger balance before any adjusting is $2,130.
The adjusting entry for office supplies that should be recorded on may 31 will be the difference in the physical count and general ledger balance which is ($2130 - $1253) = $877. We then have to debit Supplies expense $877 and then credit supplies $877
Classify the following triangle. Check all that apply.
Answer: scalene, right
Step-by-step explanation:
None of the side lengths of the triangle are equal, so the triangle is scalene.
This triangle also has a right angle, so it is a right triangle.
Answer:
D. And E.
Step-by-step explanation:
It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.
Helppp!!!! please!!!
Answer: B. rectangular pyramid
If f(x)=5x, what is f^-1(x)
Answer:
f^-1(x) = _x__
5
Step-by-step explanation:
Answer:
[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]
Step-by-step explanation:
f(x) = 5x
To find f^-1(x) equate f(x) to y
That's f(x) = y
y = 5x
Interchange the variables
x = 5y
Make y the subject by dividing both sides by 5
y = x/5
The final answer is
f^-1(x) = x/5
Hope this helps you.
The planet mercury is approximately 6*10^7 miles from the sun. The distance between the sun and mars is approximately 2*10^8 miles. About how many times farther from the sun is mars than mercury.
Answer:
Around 10/3 or 3.33 times farther.
Step-by-step explanation:
We simply divide the larger distance by the smaller distance to find our ratio:
2(10⁸)/6(10⁷)
10/3
*Remember when you divide exponents, you subtract them
The area between z = 0.41 and z = 1.93 is
Answer:
Step-by-step explanation:
0.026803
x=__√__ How do I solve the problem and what are the steps to do it?
Answer:
x = 4sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 7^2 = 9^2
x^2 +49 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt( 16*2)
x = sqrt(16) sqrt(2)
x = 4sqrt(2)
Answer:
x = 4√2
Step-by-step explanation:
The triangle is a right triangle.
Use Pythagorean theorem.
a² + b² = c²
The sum of legs squared is the hypotenuse squared.
The hypotenuse (largest side) is 9.
The legs are 7 and x.
7² + x² = 9²
49 + x² = 81
x² = 81 - 49
x² = 32
x = √32
x = √16√2
x = 4√2