Given :
6/√5+21/8+5√2To find :-
The denominator in rationalized form .Solution :-
Using Identity :-
a² - b² = (a+b)(a-b)Solution 1:-
6/√5+26(√5-2)/(√5+2)(√5-2)6(√5-2)/√5²-2²6(√5-2)/5-46√5 - 12Solution 2:-
1/8+5√21(8-5√2)/(8+5√2)(8-5√2)8-5√2/8²-(5√2)²8-5√2/64-508-5√2/14How do you factor by grouping if the question is 2p^3+5p^2+6p+15?
Answer:
(2p + 5)(p² + 3)
Step-by-step explanation:
2p³ + 5p² + 6p + 15
take out factor p²
p² × (2p + 5) + 6p + 15
p² × (2p + 5) + 3 (2p + 5)
= (2p + 5)(p² + 3)
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
X. f(x)
0 -10
3 -4
5 0
6 2
then now polt the following points on
graph
(0,-10),(3,-4),(5,0),(6,2)
Step-by-step explanation:
hi by hi by hi bye hi by hi bye bye
What is the solution of the following system?
-2x - y = 1
-4x - 2y = -1
A. infinitely many solutions
B. no solutions
C. (3, 8)
D. (–3, –8)
===========================================================
Explanation:
Let's isolate the variable y in the first equation
-2x - y = 1
-2x = 1 + y
1+y = -2x
y = -2x-1
Then we'll plug this into the second equation
-4x - 2y = -1
-4x - 2(-2x-1) = -1
-4x + 4x + 2 = -1
0x + 2 = -1
0 + 2 = -1
2 = -1
We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.
Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.
A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
A triangle with vertices at point A(-2,1), B(1,5), and C(2,3) calculate the coordinates of the mid point of AB
=======================================================
Explanation:
Add up the x coordinates of A and B
-2+1 = -1
Then cut that result in half
-1/2 = -0.5
This is the x coordinate of the midpoint.
Repeat these steps for the y coordinates: (1+5)/2 = 6/2 = 3
The midpoint of segment AB is located at (-0.5, 3)
What is are the answers
Answer:
Q1(a). x=112 (corr angles)
Q1(b). x=75 (alt angles)
Q1(c). x=180-150 (adj angles on a str line)
=30
y=150 (corr angles)
Q1(d). x=99 (vert opp angles)
y=99 (corr angles)
z=180-99 (adj angles on a str line)
=81
Q1(e). x=180-74 (adj angles on a str line)
=106
y=106 (corr angles)
Q1(f). x=123 (corr angles)
y=180-110 (int angles)
=70
Q3. 4x+15=5x-10 (vert opp angles)
4x-5x=-10-15
-x=-25
x=25
Q4. x+22+2x-13=180 (int angles)
3x+9=180
3x=180-9
=171
x=171÷3
=57
HELP PLEASE IM BEGGING it’s DUE TMR PLEASE
Problem 2
x = amount of candy Ian goty = amount of candy Joe gotz = amount of candy Josh gotBased on those variables, we can form these equations
x+y+z = 75 since all three got 75 totalx = 3y+6 due to "Ian collected six more than three times the amount Joe got"z = y-11, since Josh collected 11 pieces less compared to JoeThe system of equations is
[tex]\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}[/tex]
Let's start with the first equation. Then apply substitution like so
x+y+z = 75
3y+6+y+z = 75 ... plug in x = 3y+6
4y+6+z = 75
4y+6+y-11 = 75 ... plug in z = y-11
5y-5 = 75
5y = 75+5
5y = 80
y = 80/5
y = 16 = amount of candy Joe collected
z = y-11 = 16-11 = 5 = amount Josh collected
x = 3y+6 = 3*16+6 = 54 = amount Ian collected
Answer: 54 pieces of candy======================================================
Problem 3
x = number of pounds of candy that sells for $1.49 a pound
1.49x = cost of buying those x pounds of candy at that unit price
4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound
1.49x+22.50 = total cost
x+5 = total weight in pounds
(total cost)/(total weight) = final cost per pound
(1.49x+22.50)/(x+5) = final cost per pound
(1.49x+22.50)/(x+5) = 3.64
1.49x+22.50 = 3.64(x+5)
1.49x+22.50 = 3.64x+18.20
22.50-18.20 = 3.64x-1.49x
4.30 = 2.15x
2.15x = 4.30
x = (4.30)/(2.15)
x = 2
Answer: 2 pounds======================================================
Problem 5
g = number of ghosts
w = number of witches
s = number of scarecrows
g+w+s = 22 = total number of items
w = g+1 since there's one more witch compared to ghosts
s = w-7 since there's 7 less scarecrows than witches
The system we need to solve is
[tex]\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}[/tex]
We'll use substitution here as well
g+w+s = 22
g+w+w-7 = 22 ... plug in s = w-7
g+2w-7 = 22
g+2(g+1)-7 = 22 ... plug in w = g+1
g+2g+2-7 = 22
3g-5 = 22
3g = 22+5
3g = 27
g = 27/3
g = 9, there are 9 ghosts
w = g+1 = 9+1 = 10 witches
s = w-7 = 10-7 = 3 scarecrows
Answers:10 witches and 3 scarecrows
PLEASE HELP I DO ANYTHING
Answer:
Step-by-step explanation: 4 if i believe
At a school party there are 40 cookies there are 5 chocolate cookies and 3 oatmeal how many oatmeal cookies are there
Answer:
There are 3 oatmeal cookies.
Step-by-step explanation:
ILL FIVE BRAINLIEST GIVE ANSWER PLS
Answer:
y = -4, x = 9
Step-by-step explanation:
If a line is horizontally passing through a point, then the equation of that line must be the y-value of that coordinate point. Likewise, if a line is passing vertically through a point, then the equation of that line must be the x-value of that coordinate point.
Apply the theory to this problem.
The equation for the horizontal line is y = -4
The equation for the vertical line is x = 9
What number should go in the space?
Multiplying by 1.75 is the same as increasing by _____%.
Answer:75%
Step-by-step explanation:
Help help please help help me help help please please let me know please please help help please help me help help please help help me help help
Answer:
1) A=XB
2) (A-C)/B
Step-by-step explanation:
1) to keep A alone convert B to the other side with multiplication A=XB
2) To keep X alone. First C goes to the other side be minus A-C=BX
then B goes the other side with division (A-C)/B=X
Estimate the area of the irregular shape. Explain your method and show your work. Will Mark Brainliest if correct. And please Do Not Repost someone else's answers from brianly or another websites.
9514 1404 393
Answer:
29 square units
Step-by-step explanation:
One estimate could be obtained by approximating the shape by a polygon with vertices at ...
(-3, 3), (2, 2), (2, -2), (-3, -4), (-4, -3), (-3, -1)
The idea is to try to have about as much area outside this boundary as inside with reference to the curve shown.
This can be subdivided into a trapezoid with the first four vertices shown, and a triangle with the last three vertices shown. The respective areas are ...
trapezoid area = 1/2(b1 +b2)h = 1/2(7+4)(5) = 27.5
triangle area = 1/2bh = 1/2(3)(1) = 1.5
Then the total estimated area is about 27.5 +1.5 = 29 square units.
Complete the equation…
Picture is included
Please answer!! No links please!!!!
Answer:
a to the power 1
............
Arnold Ackerman deposits $870 in a savings account at Home City Bank. The account pays an annual interest rate of 7 percent. He makes no other deposits or withdrawals. After three months the interest is calculated. How much simple interest does his money earn?
Answer: $15.23
Step-by-step explanation:
$870 x ((7% / 12 months) x 3 months)
= $870 x 0.005833 x 3
= $15.23
Terrence likes to make lemonade using the lemons from his grandmother's trees.
There is a proportional relationship between the number of pitchers of lemonade Terrence
wants to make, x, and the number of lemons he needs, y.
x (pitchers) y (lemons)
2
8
3
12
16
4
5
20
What is the constant of proportionality? Write your answer as a whole number or decimal.
lemons per pitcher
Submit
Work it out
Find the coordinates of the point.
The point is seven units to the left of the y-axis and two units below the x-axis.
Answer:
(-7, -2)
Step-by-step explanation:
If you look on a graph and travel 7 units to the left of the y axis, you are traveling in the x direction (along the x axis). Since you are 7 units to the left, you are at -7 in the x direction.
If you look on a graph and travel 2 units down below the x axis, you are traveling in the y direction (along the y axis). Since you are 2 units down, you are at -2 in the y direction.
Coordinates are listed in (x,y) format, so it would be (-7, -2)
Company X has the following capital structure, which it considers to be optimal:
Debt =33%, Preferred stock = 28%, Common equity = 39%
Company X’s tax rate is 25% and investors expect earnings and dividends to grow at a constant rate of 6.5% in the future. Company X is expected to pay a dividend of $4.40 per share next year, and its stock currently sells at a price of $55 per share.
Company X can obtain new capital in the following ways:
Preferred: New preferred stock with a dividend of $13 can be sold to the public at a price of $109 per share.
Debt: Debt can be sold at an interest rate of 11%.
Calculate the following:
a. Cost of Common equity?
b. Cost of Preferred Equity?
c. Cost of debt?
d. Weighted Average Cost of Capital (WACC)
The computations of Company X's Capital Structure is as follows:
a. Cost of Common equity = 7.48% ($4.114/$55 x 100)
b. Cost of Preferred stock = 11.93% ($13/$109 x 100)
c. After-tax cost of debt = 8.25% (11% x 1 - 0.25)
d. Weighted Average Cost of Capital (WACC):
= (39% x 7.48% + 28% x 11.93% + 33% x 8.25%)
= (2.92% + 3.34% + 2.72%)
= 8.98%
= 9%
Data and Calculations:
Capital Structure Weights:
Weight of Debt =33%
Weight of Preferred stock = 28%
Weight of Common equity = 39%
Corporate tax rate = 25%
Earnings growth = 6.5%
Expected dividend per share next year = $4.40
Dividend per share for the current year = $4.114 ($4.40 x 93.5%)
Current common stock price per share = $55
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Maggie's brother is 5 years younger than twice her age. The sum of their ages is 13.
How old is Maggie?
Maggie is
years old.
Is "369" from ( Digit or Number or Numeral) ??
Answer:
Number
Step-by-step explanation:
Answer:
Digit is single number
so answer is numeral
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve for y. Y/4 - y-1/2>3
Answer:
y < -14/3
Step-by-step explanation:
y/4 - y - 1/2 > 3
+1/2 +1/2
---------------------------
y/4 - y > 7/2
*4 *4
---------------------------
y - 4y > 14
-3y > 14
/-3 /-3
---------------------------
y < -14/3
Answer:
y < -14/3 --> final solution
James was watching Cartoon Cartoon's! He watch 7 each day. If he keeps this up for 10 days how many Cartoon Cartoon's will he watch in all?
Answer:
70
Step-by-step explanation:
7 x 10 = 70
What is the volume of a moving crate length of 3 feet a width of 2 feet and a height of 5 feet
Answer:
30 cubic feet
Step-by-step explanation:
2 times 3 times 5 equals 30.
How to solve this problem?
Thank you
Tell whether each equation is True or False.
-4+ (-7) = 11
True
Wha
first
False
a.
b. 5 + (-4) = -5 +4
True
False
True
False
C.
-10 + 7 = 7 - 10
True
False
d. 14+ (-3) = 10 + 1
5 Aduck is sitting on a ledge that is 11 feet above the
Answer:
false, false, true. This is my answer for the three questions.
Write the slope-intercept form of the equation of each line.
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The given equation can be written as :
[tex]x - 2y = 2[/tex][tex] - 2y = 2 - x[/tex][tex] - y = \dfrac{2 - x}{2} [/tex][tex]y = - \bigg( \dfrac{2 - x}{2} \bigg)[/tex][tex]y = \dfrac{x - 2}{2} [/tex][tex]y = \dfrac{x}{2} - 1[/tex]Therefore , the slope intercept form for above equation is :
[tex]\boxed{ \boxed{y = \frac{x}{2} - 1 }}[/tex]how do I add odd number fractions for example 5/9 and 3/5?
What is the complementary angle of 60°.
Answer:
30°
Step-by-step explanation:
The complementary angle of 60° is 30° complementary angles are angles whose measures sum to 90�,
so complementary angles of 60�is 30�
Answer:
30°
Step-by-step explanation:
90-60=30 the complementary angle of 60° is 30°
Please help
I need help creating a table of value for this equation
Answer:
Create the table and choose a set of x values. Substitute each x value (left side column) into the equation. Evaluate the equation (middle column) to arrive at the y value. An Optional step, if you want, you can omit the middle column from your table, since the table of values is really just the x and y pairs.
Step-by-step explanation:
Specify a name for the function.
Specify a name and data type for each input parameter.
Specify the routine attributes.
Specify the RETURNS TABLE keyword.
Specify the BEGIN ATOMIC keyword to introduce the function-body.
Specify the function body.
What is the midpoint between 0.3 and 0.4
Answer:
A number between 0.3 and 0.4 is 0.35