Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?
9514 1404 393
Answer:
factor out 5^19
Step-by-step explanation:
a) Reason from parity:
both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.
__
b) Factor:
5^20 -5^19 = 5^19(5 -1) = 5^19×4
This product has an even factor (4), so is even.
Write the ratio as a fraction in simplest form: 35 girls : 15 boys
Answer: 7/3
Mixed Number: 2 1/3
Step-by-step explanation:
Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?
Answer:
5.625
Step-by-step explanation:
Does anyone know thissss
Help me answer b. c. I need help:(
Answer:I dont knwo the answer
Step-by-step explanation:tell em
Answer:
C
Step-by-step explanation:
I got it right
Pls help! Move number to the lines!
Equation
y = 3 + 2x
What is the slope? Please help!!! Thank you!
I posted this and dont how to remove
27/22 as a decimal rounded to the nearest hundredth
Answer:
1.23
Step-by-step explanation:
27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)
Write the following in standard form.
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
2) (19,8) (3,4)
Find the slope?
Answer:
1/4
Step-by-step explanation:
the equation for slope is (y2 - y1) / (x2 - x1)
so the equation is (4-8)/(3-19)
= -4/-16
= 4/16
= 1/4, therefore, the slope is 1/4 or 0.25 as a decimal
hello, this is math and I need help ❤️ pls and ty ONLY SERIOUS ANSWERS
The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.
How to solve:
First use the formula: C = 3.14dReplace the d value with 30 and solve the equation:C = 3.14 x 30 ⇒ 94.2477796077
Then solve the equation again but 21 as the d value:C = 3.14 x 21 ⇒ 65.9734457254
Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8Simplify each pair of solutions as much as possible. Identify each pair of numbers as RATIONAL, IRRATIONAL, or COMPLEX/IMAGINARY.
Answer:
irrational duh
Step-by-step explanation:
find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve
Answer:
-4
Step-by-step explanation:
If eight trash bags last for thirty days then 28 trash bags will last for how long
Answer:
105 Days
Step-by-step explanation:
Hope I helped
Answer:
105 days
Step-by-step explanation:
I don’t know if your teacher wants you to solve it like this but I used a proportion
8/30= 28/x
Write an expression that represents the height of a tree that began at 6 feet and increases by 2 feet each year. Let y represent the number of years.
Answer:x=2y+6
Step-by-step explanation:
Really weird that y is the number of years but ok
using the equation y=-6x+1: if you choose -2 as the input ,what will be the output
Answer: 13
Step-by-step explanation: you substitute x for -2 because the input is known as x. The output is known as y; solving the new equation y=-6(-2)+1 you will get y=12+1 then y=13
equivalent answers for 64 to the power of 2/3
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
A painter painted about a fifth of a room in a fifth of a day. Coley estimated the painter would paint 6 rooms in 6 days. Is Coley's estimate reasonable? Complete the explanation.
EXPLANATION: Coley's estimate (is not/is) reasonable because the painter's unit rate is (blank) room per day, so in 6 days the painter would paint about (blank) rooms.
Answer:
yes he is correct
Step-by-step explanation:
if he is painting 1/5 of a room in 1/5 of a day he is painting 1 room in 1 day therefore he can paint 6 rooms in 6 days
What is the equation for a circle with the center, (0,0) and a radius of 4?
Answer:
(X-x0)^2 +(y-y0)^2= r^2
R=4
R^2=16
(X-0)^2+(y-0)^2=16
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
I NEED HELPS ASAP PLS
Answer:
9
Step-by-step explanation:
Write an equation that shows the number
of teaspoons of chili powder (y) per
teaspoons of cumin (x).
Answer:
y=4x
Step-by-step explanation:
Solve for ... 2x + 3
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Answer:
Answer
Step-by-step explanation:
The answer is C
You would do 1.2 ÷ 4 which is 0.3
2.4 ÷ 8 is 0.3
3.9 ÷ 18 is 0.3
A is wrong because the constant of proportionality is 0.33333
B is wrong because the constant of proportionality is 0.6
No Problem!
It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Answer
0
andrew8253
Virtuoso
237 answers
42.1K people helped
Answer:
The rate is 15 minutes per meter.
Step-by-step explanation:
It takes 9 minutes to fill a depth of meters.
Filling meters take 9 minutes time.
Filling 3 meters of the aquarium takes = 45 minutes time (Multiplying by 5 both the numbers).
In order to fill 1 meter of the aquarium it will take minutes (Dividing by 3 both the numerical values).
===================================================
Work Shown:
8 minutes = (2/5) meters
5*(8 minutes) = 5*( (2/5) meters )
40 minutes = 2 meters
40/2 minutes = 2/2 meters
20 minutes = 1 meter
The unit rate in minutes per meter is 20 minutes per meter.
In other words, it takes 20 minutes to raise the level 1 meter.
Which of these relations is a function?
I’m I correct??
Answer:
the first one on the bottom
Step-by-step explanation:
There is a little trick to find out if it is a function or not. This trick is called the vertical line test. if you can scan the figure with a virtual line and it does not touch more than one side of the figure at one time then it is a function. if it touches more than one side or line of the figure it is not a function.
$85 Restaurant Bill; 15% Tip
Answer:
97.75
Step-by-step explanation:
15% of 85 is 12.75
12.75 + 85 = 97.75
Hope this helps have a nice day
Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.
Answer:
The correct option is Option C
Step-by-step explanation:
We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]
The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]
In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)
In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)
The opposite reciprocal of -4/5 is 5/4
So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.
If the lines are parallel there slope must be same. Hence lines are not parallel as well.
So, The correct option is Option C
Answer:
c
Step-by-step explanation:
What is the answer?
Answer:
clockwise
Q= (5,-2)
R= (-1,-3)
S= (0,0)
T= (3,-2)
counterclockwise
Q= (-5,2)
R= (1,3)
S= (0,0)
T= (-3,-2)
Step-by-step explanation:
this might not be right im a little rusty on my transformations but here goes nothing.
i dont know if this is a clockwise or a counter clockwise rotation so ill do both options.
clockwise (x,y) - (y,-x)
q=(2,5) - (5,-2)
r=(3,-1) - (-1,-3)
s=(0,0) - (0,0)
t=(-2,3) - (3,2)
counterclockwise (x,y) - (-y,x)
q=(2,5) - (-5,2)
r=(3,-1) - (1,3)
s=(0,0) - (0,0)
t=(-2,3) - (-3,-2)
What is the solution to the equation?
8v - 4(v + 8) = 8
O v = 2
O v = 10
ng
v=4
o
v=-4
Answer:
v =10
Step-by-step explanation:
8v - 4(v + 8) = 8
Distribute
8v -4v -32 = 8
Combine like terms
4v -32 = 8
Add 32 to each side
4v -32+32 =8+32
4v = 40
Divide by 4
4v/4 = 40/4
v =10
Answer:
v = 10
Step-by-step explanation:
Expand 8v - 4(v + 8) = 8 and then combine like terms:
8v - 4v - 32 = 8, or
4v = 40
Then v = 40/4, or v = 10