Answer:
Factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]
Step-by-step explanation:
We need to factor the term [tex](5x^5) - (80x^3)[/tex]
First we can see that [tex]5x^3[/tex] is common in both terms
So, taking [tex]5x^3[/tex] common:
[tex](5x^5) - (80x^3)\\=5x^3(x^2-16)[/tex]
We can write [tex]x^2-16[/tex] as [tex](x)^2-(4)^2[/tex]
[tex]=5x^3((x)^2-(4)^2)[/tex]
Now we can solve [tex](x)^2-(4)^2[/tex] using the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
We can write:
[tex]=5x^3((x)^2-(4)^2)\\=5x^3(x-4)(x+4)[/tex]
So, factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]
can someone give me an example of transformation of electrical to mechanical energy
ill mark u as brain list
Answer:
i need this for a challenge
Step-by-step explanation:
3(x-2)+1=
I have to turn this in, in 10 minutes. Help.
Answer:
3x-6+1
Step-by-step explanation:
I know algebraaaaaa
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
PLEASE HELP!! I’ve got a car with an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be the volume of the gas when the pressure goes from 760 mmHg to 141.82 kPa?
Answer:
V2 = 8571.43L
Step-by-step explanation:
To solve for the V2, We can use V2 = P1V1 / P2
= 1.0 atm × 12,000 L / 1.4 atm
= 12,000 L / 1.4 atm
= 8571.43 L
A body falls from rest with an acceleration of 10m/s square. what is the velocity after 5s?How far has it fallen by them.
Answer:
The velocity after 5s s is 20
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
Please help please please help me please please
Answer:
8.88
Step-by-step explanation:
With reference angle 42°
hypotenuse (h) = 12
base (b) = x
Now
cos 42° = b / h
0.74 = x / 12
x = 0.74 * 12
x = 8.88
Answer:
the answer is 48 I think
Step-by-step explanation:
I did it by sub 90 and 42
Which of the following equations have infinitely many solutions?
Answer:
A
Step-by-step explanation:
The only one with nothing else in front of the X, which means you can't divide, which means it stays the same.
Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon
if the product of two number is 10 and the sum is 7 ,then the longest of the two number is
Answer:
5 units
Step-by-step explanation:
Step one:
Given data
Le the first number be x
and the second number be y
So
x*y= 10-----------------1
and
x+y= 7-----------------2
from eqn 1
x= 10/y
put x= 10/y in eqn 2
[tex]10/y+y= 7\\\\10/y= 7-y[/tex]
cross multiply we have
[tex]10=y(7-y)\\\\10=7y-y^2[/tex]
rearrange
[tex]y^2-7y+10=0[/tex]
the factors of the quadratic expression are
-5 and -2
[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]
The longest side is 5 units
How many cups are in 16 quarts? 1 quart = 4 cups
Answer:
64
Step-by-step explanation:
4 cups * 16 quarts = 64 cups
Write each of these ratios in their
simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213 E) 142:213 F) 38:57 G) 33:44 H) 31:42
Answer:
A) 3:9 => 1:3
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
Step-by-step explanation:
The simplest form of the ratios are as follows:
A) 3:9
Dividing the ratio by 3
1:3
B) 12:36
Dividing the ratio by 12
1:3
C)13:39
Dividing the ratio by 13
1:3
D) 71:213
Dividing the ratio by 71
1:3
E) 142:213
Dividing the ratio by 71
2:3
F) 38:57
Dividing the ratio by 19
2:3
G) 33:44
Dividing the ratio by 11
3:4
H) 31:42
The ratio is already in simplest form as 31 and 42 don't have a common multiple.
Or it might be mistakenly typed 31 instead of 21
Then the simplest form will be:
21:42
1:2
Hence,
A) 3:9 => 1:2
B) 12:36 => 1:3
C) 13:39 => 1:3
D) 71:213 => 1:3
E) 142:213 => 2:3
F) 38:57 => 2:3
G) 33:44 => 3:4
H) 31:42 => 31:42 or 21:42 => 1:2
what is 89999999+ 3099999999999=??????
3.100089999. This is is the answer
Answer:
3,100,089,999,998
Step-by-step explanation:
Hope this helped
Can someone pls help I don't understand?!
Answer:
Those Are The Cells Inside A Turtle.
Step-by-step explanation: Try Searching Up "Cells Inside A Turtle" It Will Probably Help.
The top running speed of a giraffe is 250% of the top speed of a squirrel. If a squirrel’s top running speed is 12 miles per hour, find the speed of a giraffe.
Answer:
30
Step-by-step explanation: First take the fastest speed of the squirrel, and then you multiply it by the percentage (250%). You can this by moving on decimal point to the left from the zero (250% = 2.50). Then multply the speed of the squirrel by said percentage of the girrafe,
12 x 2.5 = 30
What expression is equivalent to -2x + 7
I need some help please and thank you
Probability.
It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens.
Answer: 0.0386
Step-by-step explanation:
Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30
Sample size : n = 12
Let x = Number of contaminated chickens
Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.
Binomial probability formula:
[tex]P(X=x) = \ ^nC_x p^x(1-p)^{n-x}[/tex]
The probability that the consumer will have more than 6 contaminated chickens :-
[tex]P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0[/tex]
[tex]=0.03860084306\approx0.0386[/tex] (simplified)
Hence, the required probability = 0.0386
Simplify the expression 5 to the power of 3 x 5 to the power of -5.
Answer:
5^-2
Step-by-step explanation:
5^3 * 5^-5
~Use exponent rule [ x^y * x^z = x^y+z ]
5^3+(-5)
~Simplify
5^-2
Best of Luck!
Please please help please please ASAP please
Answer:
14.52
Step-by-step explanation:
With reference angle 32°
perpendicular (p) = 9
base (b) = x
Now
Tan 32° = p / b
0.62 = 9 / x
x = 9 / 0.62
x = 14.52
you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years
Answer:
So I= p x r/100 x t
= 500 x 5/100 x 3
= 25 x 3
$75 interest
Balnce will be $575
Find the measure of the missing angles
Can somebody help me. Will mark brainliest.
Ryan drinks liters of water every of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
Over a one week period in the summer, the price of a gallon of gas increased from $2.35 to $2.82. By what percent did the price of gas increase over that week?
What is it
Answer:
$0.47
Step-by-step explanation:
2.82 - 2.35
I need help please :'v
Answer:
Slope = 2
Step-by-step explanation:
[tex]\frac{-8-8}{-6-2}=\frac{-16}{-8}=2[/tex]
Answer:
2
Step-by-step explanation:
using formula given y2-y1/x2-x18-(-8)/2-(-6)8+8/2+616/82Help Me please and thank you
Answer:
Hii Xxx
Please give your mobile number
(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)
Marking brainlesssss!!
Answer:
A 22 inches
Step-by-step explanation:
Pls just trust me lol
please help me with triangle angles. due today !
Answer:
12
Step-by-step explanation:
8x-1+3x+4+3x+9=180
14x+12=180
14x=180-12
x=168/14
x=12
Answer:
8x-1+3x+9+3x+4=180
8x+3x+3x=180+1-9-4
14x=168
x=12
Step-by-step explanation: