Answer:
I got 5^10 x 2^14 x 3
Step-by-step explanation:
1. Do a tree to find 480 as a product of its prime factors
2. You should get 480= 5x2x3x2x2x2x2
3. 10 expressed as a product of its prime factors is 5x2
4. so 10^9 expressed as a product of its prime factors would be
5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
5. You can then write out 480x10^9 as a product of its prime factors
5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
6. change this to use powers
5^10 x 2^14 x 3
N = 5^(10) × 2^(14) × 3
This is about prime factors
By definition, a prime factor is a factor of a number and that factor is also a prime number.
A prime number is one that is divisible by only itself and 1.
The number we have is; 480 × 10^(9)
Now, let's list the prime factors or 480 and they are;
2, 3, 5
Now, using these prime factors alone to get 480, we have;
5 × 3 × 2 × 2 × 2 × 2 × 2 = 480
In powers, gives;
5 × 3 × 2^(5)
Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;
(5 × 2)^(9)
Expanding this gives; 5^(9) × 2^(9) = 10^(9)
Thus;
480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)
This gives;
5^(10) × 2^(14) × 3
Read more at; brainly.com/question/4853862
Which of the following is the restricted value of (x-5)/(〖3x〗^2-10x-25) ? *
Given:
The expression is
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
To find:
The restricted value of given expression.
Solution:
We have,
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
Equate the denominate equal to 0, to find the restricted value.
[tex]3x^2-10x-25=0[/tex]
[tex]3x^2-15x+5x-25=0[/tex]
[tex]3x(x-5)+5(x-5)=0[/tex]
[tex](x-5)(3x+5)=0[/tex]
Using zero product property, we get
[tex]x-5=0\text{ and }3x+5=0[/tex]
[tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex]
Therefore, the restricted values are [tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex].
Answer this fast please
Answer:
$110.30 is the answer because you add $22.06 because that is 25% of 88.24
Step-by-step explanation:
Answer:
The answer is $110.3.
Step-by-step explanation:
To increase by 25%, you multiply by 1.25, which means it is 0.25 plus 1.
You then multiply this to 88.24.
#teamtrees #WAP (Water And Plant)
A dance studio offers ballet and hip-hop classes. The studio has 10 ballet classes for every 15 hip hop-hop classes.
How many hip-hop classes are there for each ballet class?
3 hip hip classes for each ballet class.
Answer:
3 hip hop classes...
Step-by-step explanation:
How to subtract with the same denominator?
Answer:
When subtracts fractions with the same denominator, you only have to subtract the numerator.
5/9-3/9=
The denominators are the same, you just have to subtract the denominator. So in this case, you would only need to subtract 5-3. Therefore the answer would be 2/9. (Simplify if needed.)
Hope this Helps!
David's Bikes rents bikes for $11 plus $5 per hour. Mary paid $51 to rent a bike. For how many hours did she rent the bike?
Can someone help me? I really dont understand this and I need to get it done soon qwq
Answer:
sure.
Step-by-step explanation:
just multiply the multipaction bisector sqaure from 1 to 5 to 6 and then you take a quick then add the 65 to the 9 and get 6
Solve the system of equations
3x+5y=30
-5y+3x=15
Answer:
x = 7.5 y = 1.5
Step-by-step explanation:
3x + 5y = 30
-5y + 3x = 15
3x + 5y = 30
3x - 5y = 15
6x = 45
x = 45/6
x = 7.5
3(7.5) + 5y = 30
22.5 + 5y = 30
5y = 7.5
y = 7.5/5
y = 1.5
Check:
3(7.5) + 5(1.5) = 30
-5(1.5) + 3(7.5) = 15
Answer:
Step-by-step explanation:
3x+5y=30
-5x+3y=15
9-(-25)=34
|A|=34
|Ax|= (30×3)-(-15×5)
=90+75
|Ax|= 165
|Ay|=(3×15)-(-5×30)
|Ay|=195
|Ax|= |Ax|÷|A| =165÷34
|Ax|= 4.853
|Ay|= |Ay|÷|A| = 195÷34
|Ay|= 5.735
Plsss help this is for math
Answer:
1. 12.48
2. -17.6
point of the circumference
Answer:
(-14, 4)
Step-by-step explanation:
I graphed it on Desmos Graphing calculator. This is a great resource. Hope this helps!
Step-by-step explanation:
( - 14, -4)
is a right answer
HELP ILL BRAINLIST THE FIRST ONE TO ANSWER
Answer:
first! Plz brainliest
Step-by-step explanation:
y=-6x+334
Answer:
y=-6x+334
Step-by-step explanation:
There are 25 kids in a class room , five kids are sitting at a desk and the rest are at a table what is the ratio of kids at a desk to oids at a table ?
Answer:
5:25 ; 1:5
Step-by-step explanation:
there's 5/25 at a table. replace the slash with a colon.
5:25. Then simplify, getting 1:5
Yoo Help Me On this Please
Answer:
Step-by-step explanation:
It's D
Answer:
It's D
Step-by-step explanation:
What is the x-intercept!!! I’m dying here!
I’m sorry, I would add more points, like 15 or something, but I only have 13. Please only answer if you think you actually know the answer
Answer:
(4,0)
Step-by-step explanation:
plug 0 into y
-4x+8(0)=-16
-4x=-16
x=-16/-4
x=4
or you could just plug it in to a graphing calculator
You bought 3 shirts for $12. How much would 5 shirts cost?
Answer:
20
Step-by-step explanation:
3/12=4
4x5=20
wooooow
Answer:
$20
Step-by-step explanation:
12/3 = 4
That means each shirt is 4 dollars.
5×4 = 20
the length of a rectangle is 1m less than twice the width.If the area of the rectangle is 100m^2,what are the dimensions of the rectangle?
Answer:
Area = length x width
21 = (2w-1)w
21 = 2w^2 -w
2W^2 - w -21=0
(2w-7 )(W +3)=0
2W-7=0 or w+3=0
W=7/2 or w=-3
Width cannot be negative.
So width is 7/2=3.5
Then the length is 6
PLS HELP ASAPP!!!
Use the figure below to match the type of angles with the correct angles.
ANSWER CHOICES:
Supplementary
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Alternate Interior Angles
Same-Side Exterior Angles
Same- Side Interior Angles
Complementary
Answer:
here use some of these
Step-by-step explanation:
Also google is a really good source, just type the name and then click images
write the equation of the line fully simplified slope-intercept form
Answer:
y=1/5x-7
Step-by-step explanation:
⚠️⚠️⚠️⚠️ANSWER ASAP!!! ⚠️⚠️⚠️⚠️
Answer:
0.08
Step-by-step explanation:
5^-2 x 2
1/25 or 0.04 x2
0.04 x 2= 0.08 or 2/25.
Which of the following options have the same value as
80%, percent of 22?
Answer:
17.6
Step-by-step explanation:
17.6 ÷ 22= 0.8 (80%)
can someone pleaseeeee help with this
Answer:
no solution or the empty set
Step-by-step explanation:
3(x-2)+1≥x+2(X+2)
3x -6+1≥x+2x+4 distribute
3x-5≥3x+4
0≥9 not a true statement, no solution
answer please. 25 points. click on picture
Answer:
C
Step-by-step explanation:
Find 2/3 the weight of a 6-ton load in pounds.
Answer:
4/6 would be the anwser
Step-by-step explanation:
Answer:
12000
Step-by-step explanation:
unansweredIf Measure of angle a is 155°, what is Measure of angle c?
Line l intersects line m to form 4 angles. Clockwise, from the top, the angles are: a, b, c, d.
25°
35°
155°
180°
Answer: 155°
because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°
Step-by-step explanation:
Joyce paid $70 for an item at the store that was 70% off the original price. What was the original price?
Answer:119
Step-by-step explanation:
Pls help me it detects if it’s right or wrong
Answer:
D or B
Step-by-step explanation:
sorry if its wrong
What is the answer????
Answer:
9 or 12
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the points
(-1, -1) and (1, 5)
What does y equal????? pleaseeeeeeeesee
Answer:
y = 3x + 2
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-1, -1), (1, 5)
(-1, -1) = (x1, y1)
(1, 5) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
[tex]\frac{5-(-1)}{1-(-1)}[/tex]
Simplify:
5 - (-1) = 5 + 1 = 6
1 - (-1) = 1 + 1 = 2
[tex]\frac{6}{2}=3[/tex]
The slope is 3.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:
5 = 3(1) + b
5 = 3 + b
2 = b
The y-intercept is 2.
Now that we know the slope and the y-intercept, we can write the equation:
y = 3x + 2
An attorney charges a fixed fee for an initial meeting and an hourly fee for all hours worked after this meeting. The attorney charges 500 for an initial meeting and 4 hours of additional work. She charges 1750 for an initial meeting and 10 hours of additional work.
What is the hourly fee?
Solve for the initial fee (the B Value) and write an equation to represent the lawyers billing
Answer:
m = 125 is the rate of change or the hourly fee
b value is 500
y = 125x + 500
Step-by-step explanation:
1750 = 500 + m(10)
1250 = 10m
m = 125 is the rate of change or the hourly fee
b value is 500; which is the charge at 0 hours (fixed fee for initial meeting);
use equation y=mx+b
y = 125x + 500
Lugi is trying to hit a turtle shell. The height of
Lugi's feet above the ground is given by the
functionh(t) = -16t² +961 + 2.
How long does it take for Lugi to hit the shell on the ground?
A. 3 seconds
B. 146 seconds
0.6.02 seconds
D. 16 seconds
Answer:
C. 6.02sec
Step-by-step explanation:
Given
[tex]h(t) = -16t\² +96t + 2[/tex]
Required
Time to hit the ground
When the turtle shell hits the ground, [tex]h(t) = 0[/tex]
So:
[tex]0 = -16t\² +96t + 2.[/tex]
Solving using quadratic formula:
[tex]t = \frac{-b\±\sqrt{b^2-fac}}{2a}[/tex]
Where:
[tex]a = -16; b =96; c = 2[/tex]
So:
[tex]t = \frac{-96\±\sqrt{96^2-4 * -16 * 2}}{2*-16}[/tex]
[tex]t = \frac{-96\±\sqrt{9344}}{-32}[/tex]
[tex]t = \frac{-96\±96.66}{-32}[/tex]
Split:
[tex]t = \frac{-96+96.66}{-32}[/tex] or [tex]t = \frac{-96-96.66}{-32}[/tex]
[tex]t = \frac{0.66}{-32}[/tex] or [tex]t = \frac{-192.66}{-32}[/tex]
[tex]t = -0.020625[/tex] or [tex]t = 6.020625[/tex]
So time can't be negative, we have:
[tex]t = 6.020625[/tex]
Option C answers the question
Plsssss help me solve this I don’t understand how to do thissss.
Slope = 2/7 ; y intercept =0
Answer:
If you are looking for forming an equation
Step-by-step explanation:
y = 2/7x
[tex]Your\;answer\;is\;\boxed{y=2/7x}\\\\\\\\\underline{Explanation}[/tex]
So, what we first need to know is that slope intercept form is y=mx+b. We are given the slope 2/7 and the y intercept 0. What we now need to do is plug in the slope and y intercept...
[tex]\boxed{y=mx+b}[/tex] ➡ [tex]\boxed{y=2/7x+0}[/tex]
Notice: We have a zero at the end of our equation. Thus, we remove the plus sign and zero and we get the following...
[tex]\boxed{y=2/7x+0}[/tex] ➡ [tex]\boxed{y=2/7x}[/tex]
This gives us our final answer ➡ [tex]\underline{y=2/7x}[/tex]
Hope this helps!
If you need help in the future be sure to reach out to me!
