Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = 2*2*2 *2 * 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - 3 * 3 * 3 * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
(Two Answers!)
A. 110 – 16 = 10h
B. 110 = 16h + 10
C. 16 = 110 – h
D. 110 = 16 + 10h
E. 110 + 16 = 10h
Note: I already know one of them is D, I don't know what the other one is though.
Explain why the triangles are similar. Then find the value of x.
Answer:
x=12
Step-by-step explanation:
the 2 triangles are proportionately identical.
the larger one is 1/3 larger, so x would be 9 plus 1/3 of 9- 12
A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.
(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?
Drag the tiles to the boxes to form correct pairs.
Not all tiles will be used.
Match each binomial with its factors.
Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
Have a great rest of your day :)
Step-by-step explanation:
I'm so confused on this can someone please help and explain it to me!
Answer:
A's coordinates are:
A. (-4, 3)
Step-by-step explanation:
Because the x always goes first,
So that will mean -4 will go first.
After you have -4 down, you will see that A's point on the graph is (-4, ?)
To answer the ?, you will have to check the y.
Because remember, The x-coordinate always comes first, followed by the y-coordinate.
So, it will be (-4, 3)
and 3 will be the fill in for y.
I hope this helps :)
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Step-by-step explanation:
Since there are 3 w's and a 1 on one side and 7 1's on the other and the hanger diagram shows they are even, we can set them equal to each other.
3w + 1 = 7 Subtract 1 from both sides
3w = 6 Divide 3 from both sides
w = 2
help a b outttttttt please
Answer:
The two numbers are 9 and 11
How many faces does the solid figure made from the net below have?
43
Answer:
43
Step-by-step explanation:
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
Answer:
The graph shows a relation and a function
Step-by-step explanation:
Because there is one value of y for every value of x, this is a relation and a function.
Answer:
relation because the x does not repeat
A rectangular wall is 4x-5 units high and 2x+7 units long. Which polynomial best represents the area of the wall in square units?
Answer:
8x^2 + 18x - 35.
Step-by-step explanation:
Area = (4x - 5)(2x + 7)
= 8x^2 + 28x - 10x - 35
= 8x^2 + 18x - 35.
If Sara have 3 Appels and hany have 20 apples how many we have in total
Answer:
23
Step-by-step explanation:
20+3=23
Natalie and Breanna decide to buy chocolates and giant sour keys for the class. They buy 130 giant
sour keys and chocolates combined. If they spend a total of $66.85 in total, and chocolates cost $0.22
and giant sour keys cost $1.07, how many of each did they buy?
please explain step by step do you can!:)
Answer:
148
Step-by-step explanation:
help me simplify this
Answer:
Da^^ good luck that looks hard
Step-by-step explanation:
(x-1) (x+2) (x-3)= muszę wykonać działanie wyznaczyć iloczyn
Answer:
x^3-2x^2-5x+6
Step-by-step explanation:
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Lin purchased 3 child tickets and 17 adult tickets, which cost a total of $558. Mr. Shepherd purchased 3 child tickets and 11 adult tickets, paying a total of $378. What are the ticket prices?
Answer:
1 Adult ticket=$35
1 Children ticket=$20
Step-by-step explanation:
21C+15A=945
6C+6A=330
we find adult tickets 1st
42C+30A=1890
42C+42A=2310
12A=420
A=35
we will find children ticket next
42c+30a=1890
30c+30a=1650
12c=240
C=20
Q. A dice shows the numbers 1 through 12, with one number showing each time the die is rolled. What is the probability of rolling a 7?
Answer:
1/12
Step-by-step explanation:
The total number is 12 (assuming the dice would be rolled 12 times) 7 is a number in the range and it will appear once in the 12 rolls because each number shows each time. 1 (how many times 7 will show)/ 12(total number of rolls)
Probability of [tex]7[/tex] when a dice (showing numbers 1 throught 7) is thrown is equal to [tex]\boldsymbol{\frac{7}{12}}[/tex] as a dice is rolled.
Define probability.Probability refers to chances of occurrence of any event.
Value of probability lies in the interval [tex]\boldsymbol{\left [ 0,1 \right ]}[/tex]
Total number of numbers on a dice [tex]=12[/tex]
Probability is equal to number of favorable outcomes divided by the total number of outcomes.
Probability of [tex]7=\frac{7}{12}[/tex]
Find out more information about probability here:
https://brainly.com/question/11234923?referrer=searchResults
HELP ME BECAUSE I HAVE NO IDEA HOW TO DO THIS
Answer:
3
Step-by-step explanation:
ill reply to this gimmie a moment
Answer:
(-∞, 3] or x[tex]\leq[/tex]3
Step-by-step explanation:[tex]inf[/tex]
we treat it like a normal linear problem.
We can add 3 on both sides to get:
-10w[tex]\leq[/tex]-30
we can divide both sides by -10 to get...
w[tex]\leq[/tex]3
Or if nessessary, the interval notation is (-∞, 3]
Hope this helped!
Did I do the math right? Is it D?
Answer:
i think
Step-by-step explanation:
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he
earns for recycling p pounds of newspaper if p > 10?
A
5 +0.25 (p - 10)
B
(5 +0.25) P
с
5 + 0.25p
D
5 (10) +0.25p
what is the area of the following shape
Answer:
30 ft^2
Step-by-step explanation:
Break the figure into smaller pieces:
5*2=10
10*2=20
Add the areas
20+10=30
The are of the figure is 30 ft^2
Simplify using order of operations
(6 - 3)^2
1. 8
2. 6
3. 9
Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375
Answer:
D
Step-by-step explanation:
Find the vertex
¼(x-5) = (y-2)²
x-5 = 4(y-2)²
x = 4(y-2)² + 5
This is a right-opening parabola with vertex (5,2).
focal length p = 1/(4·coefficient of y²) = 0.0625
directrix: x = 5-p = 4.9375
D
The equation of directrix of the parabola will be x = 4, i.e. Option A.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]
Now,
Rewrite as,
[tex](x - 5) = 4(y - 2)^2[/tex]
Now,
[tex]x= 4(y - 2)^2+5[/tex]
Now,
Comparing it with the vertex form,
i.e.
[tex]x = a ( y - h )^ 2 + k[/tex]
Vertex of parabola = (2, 5),
So,
Focus at (a, 0),
So,
Focus of the parabola = (4, 0),
i.e., a = 4
Now,
The Equation of directrix is given by x = a
So,
The equation of the directrix of this parabola,
x - a = 0,
i.e.
x - 4 = 0
⇒
x = 4
Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.
To know more about directrix click here
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I need help with question can anyone help me?
Answer:
B
Step-by-step explanation:
Which of the following equations models the same function as 2x-3y=6 A, y=2/3x-15 B, y=-2/3x-2 C, y=-2/3x-15 D, y=2/3x-2
Answer:
D. y= 2/3x-2
Step-by-step explanation:
y=6-2x/-3
-2+2/3x
2/3x-2=y
Can you guys help me? Best answer gets branliest
Answer:
its less than one i think cause ive answered this same question not to long ago
Step-by-step explanation:
Answer:it’s greater than
Step-by-step explanation: because in the measures of DEF those are bigger
HARD QUESTION 100 POINTS
Answer:
2
There is a picture the website is Math-way I use it all the time to help out or just to check my answers.
Answer:
i was abt to answer but too late prolly
Step-by-step explanation:
if u still wanna know,
A researcher randomly asked 284 people how they prefer their eggs cooked and if they prefer orange juice or coffee with their breakfast. The two-way table displays the data.
Suppose a survey respondent is randomly selected. Let event F = fried eggs and let event O = orange juice. What is the value of P(O|F)?
StartFraction 22 Over 126 EndFraction
StartFraction 50 Over 158 EndFraction
StartFraction 41 Over 126 EndFraction
StartFraction 41 Over 91 EndFraction
Answer:
41/91
Step-by-step explanation:
edggggge
CAN SOMEONE PLEASE HELP WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT !!!!
Answer:
20%
Step-by-step explanation:
4+5+3 equals 12. in all, all of the frequencies combined is 30. because of that, it equals 20%. pls give brainliest
Which graph represents the solution set of - 4x - y<-6?
Answer:
Step-by-step explanation:
Where are the graphs?
find the value of given expression
[tex] \sqrt{395 \times 395} [/tex]
anyone wanna play chess ?
Answer:
√{395×395}=√395²=395 is your answer
Answer:
[tex] \sqrt{395 \times 395} [/tex][tex] \sqrt{395} \times \sqrt{395} [/tex][tex]395[/tex]