Answer:3
Step-by-step explanation:
10X10X10
100X10
1000
please someone help me i'm gonna cry lol
[tex]\sqrt{2}[/tex]Answer:
Step-by-step explanation:
now the equations looks like
5-4*Cos(x) = y
when 45° gets plugged into Cos(x) we get [tex]\sqrt{2}[/tex]/2 again
5- 4 * ([tex]\sqrt{2}[/tex]/2) = y
5-2[tex]\sqrt{2}[/tex]=y
leave it in that form . it's exact that way
What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Answer:
[tex] - \frac{5}{2} [/tex]
Step-by-step explanation:
4x -10y= 40
Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.
10y= 4x -40
Divide both side by 10:
[tex]y = \frac{2}{5} x - 4[/tex]
The product of the gradients of perpendicular lines is -1.
⅖(gradient of line)= -1
Gradient of perpendicular line
[tex] = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} [/tex]
[tex] = - \frac{5}{2} [/tex]
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
Cubic equation that has been transformed from the parent function with a vertical compression, reflected over the y-axis and shifted up.
Question is incomplete
Answer:
See Explanation
Step-by-step explanation:
Let the cubic function be
[tex]f(x) = (x,y)[/tex]
First transformation: Vertical compression
Let the scale factor be a where [tex]0 < |a| < 1[/tex]
The new function becomes:
[tex]f'(x) = (x,ay)[/tex]
Next: Reflection over y-axis
The rule is: [tex](x,y)=>(-x,y)[/tex]
The new function becomes:
[tex]f"(x) = (-x,ay)[/tex]
Lastly: Shifted up
Let the units up be b
The rule is: [tex](x,y)=>(x,y+b)[/tex]
So, the new function becomes:
[tex]f"'(x) = (-x,ay+b)[/tex]
Using the rules states above, assume the cubic function is:
[tex]f(x) = x^3[/tex]
Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]
[tex]f'(x) = \frac{1}{2}x^3[/tex]
Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis
Rule: [tex]f"(x)= f'(-x)[/tex]
Solving f'(-x)
[tex]f'(x) = \frac{1}{2}x^3[/tex]
[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]
[tex]f'(-x) = -\frac{1}{2}x^3[/tex]
So:
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3
Rule: [tex](x,y)=>(x,y+b)[/tex]
[tex]f'"(x) = f"(x + 3)[/tex]
Solving: f"(x + 3)
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Substitute x + 3 for x
[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]
So:
[tex]f'"(x) = f"(x + 3)[/tex]
[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]
The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answer:
Step-by-step explanation:
The relation is proportional ⇒ Graph of y = 3x goes through origin
So the answer is (B)
Write and expression for the AREA of the figure in simplest form.
2x-12
1X-6
Answer:
2
−
1
2
1
−
6
−
1
1
9
−
6
Solution
−
1
1
9
−
6
hope this helps
The figure shows secant GC and tangent GB intersecting to form an angle. Find x and y. If necessary, round to the
tenths place.
A X= 52.5
V = 30
B. = 54
= 60
C. X = 52.5
y = 93
D. 7 - 106.5
y = 60
What figure appears to be the image of Figure H after a
dilation by a scale factor of į and a rotation of 180*?
Answer:
Figure D
Step-by-step explanation:
dilation by a factor of 1/2: (x,y) -> (1/2 x , 1/2 y)
rotation 180°: (1/2 x , 1/2 y) -> (-1/2 x , -1/2 y)
Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )
Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?
Answer:
It is safe
Step-by-step explanation:
Using trigonometry :
Cosθ = adjacent / hypotenus
Hypotenus = length of ladder = 12 feets
Adjacent = distance between ladder and wall = 3 feets
Cosθ = 3 /12
Cosθ = 0.25
θ = cos^-1(0.25)
θ = 75.522°
To be safe ladder must be between (70 - 85)°
Sijce ladder is at an elevation of 75.22° ; then it is safe.
Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.
Answer:Number of coins that are quarters =60
Step-by-step explanation:
Total coins in possession of Eric=240
Number of coins that are pennies=11\20 x 240= 132
Number of coins that are nickels=4\20 x 240= 48
Since the rest are quarters,
Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)
=240-(132+48)
=240-180
=60
Sarah paid $16.50 for 3 yards of fabric. how much did Sarah pay for each yard of fabric
Answer5.5:
Step-by-step explanation:
Divided 16.50 by 3
Answer:
5.50
Step-by-step explanation:
16.50 divided by 3 5.50
In a shipment of new cookies for a store, 4/12 of the cookies were sugar and 1/5 were oatmeal. The remainder of the cookies were chocolate chip. What fraction of the cookies were chocolate chip?
Answer:
13/15
Step-by-step explanation:
The fraction of the cookies that are chocolate chip can be determined by solving this equation
1 - ([tex]\frac{4}{12}[/tex] - [tex]\frac{1}{5}[/tex])
1 - [tex]\frac{20 - 12}{60}[/tex]
1 - [tex]\frac{8}{60}[/tex]
[tex]\frac{60}{60}[/tex] - [tex]\frac{8}{60}[/tex] = [tex]\frac{52}{60}[/tex] = 13/15
hello i need help whit this in math
If lm=13 and ln=20 what is the length of mn
Answer: 7
Step-by-step explanation:
Total=LN
Piece= LM
Total-piece
LN-LM=MN
20-13=7
MN=7
Answer:
its 7
if you subtract LM and LN you get 7
hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
Answer:
10/1
Step-by-step explanation:
You do
6÷ 3/5
Flip the 3/5 then multiply
6 ° 5/3
Reduce the numbers with the greatest common factor 3
So 2•5
And that's 10
Ans is 10.
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5/3 = 30/3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30/3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answer:
7m^2n (i think)
Step-by-step explanation:
subtract (7x - 3) -(5-3x)
Answer:
4x-8
Step-by-step explanation:
7x-3-5-3x
combine like terms
7x-3x-3-5
4x-8
unless there is a value for x then that is all i can do
hope this helps:)
Answer: 10x - 8
Step-by-step explanation:
(7x - 3) -(5-3x)
= (7x - 3) - 5 + 3x Made them without parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.
= 7x - 3 - 5 + 3x
= 7x + 3x - 3 - 5
= 10x - 8
i dont know how to do this
Answer:
y ≥ 1
since the graph starts at 1 and doesn't come below that
Answer:
BI hoped this helped :))
PLEASE ANSWER QUICKLY!
Decorative glass balls are being stored in a box. Each ball has a radius of 213 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
A.) 7 balls
B.) 12 balls
C.) 48 balls
Answer:
2/3
Step-by-step explanation:
Answer:
B.) 12 balls
Step-by-step explanation:
i took the test on k-12!
Three students wrote expressions on their dry-erase boards.
Which students wrote equivalent expressions?
Student 1 (((( Student 2 ((((( Student 3
-5r + 3s + 1 / / -(5r - 3s + 1) // -5r + 3s -1
Answer:
Student 2 and Student 3
Step-by-step explanation:
Student 2
-(5r - 3s + 1)
= - 5r +3s - 1
Student 3
= - 5r +3s - 1
need help for this question pls urgent
Here are the marks of a student in four exams.
65 80 76 69
The student takes a fifth exam.
His mean mark for the five exams is 70
Work out his mark in the fifth exam.
Answer:
61 marksStep-by-step explanation:
Given,
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
Therefore,
By the problem,
[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]
[tex] = > \frac{289 + x}{5} = 70[/tex]
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
Hence,
Marks of the fifth exam is 61 (Ans)
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?
Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So
[tex]\frac{1}{9} + p = 1[/tex]
[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Ken had 80 rubber bands, he sold 10 and 10
got damaged. How many good rubber bands
were left with Ken? What percentage of
rubber bands were left?
Answer:
60 were left with Ken, and that is 75%
Step-by-step explanation:
80-10 = 70
70-10 = 60
60/80 = x/100, simplify & cross multiply
6/8 = x/100
600 = 8x
x = 75
THIS IS MY LAST QUESTION. Okay, im a bit anxious to get this done. Ive done half the problem, I just need the other half.
Answer:
umef leaf ninja the frog held a
i need major help here
Find the radius x of a
Answer:
This doesn’t add up because the hypotenuse is supposed to be the longest side
Step-by-step explanation:
Two customers took out car loans from a bank.
Robert took out a 4-year loan for $30,000 and paid 4.9% annual simple interest.
Susan took out a 6-year loan for $30,000 and paid 4.5% annual simple interest.
What is the difference between the amounts of interest Robert and Susan paid for their car loans?
Enter your answer in the box.
$
Answer:
2200 i took the test got a 100
Step-by-step explanation:
Answer:
The answer is actually 2220!
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, the measure of ∠R=24°, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?
Answer:
18.78 minutes is my opinion
Step-by-step explanation:
3 ml is filled in 1 minute
1 ml is filled in 1/3 minutes
20 ml is filled in 1/3*20 minutes
=6.22
75 ml is filled in 1/3*75 minutes
=25
25-6.22=18.78