Answer:
4^1 + 17 = 21 , which is divisible by 3. 4^k + 17 and 3 * 4^k are both divisible by 3, so 4^k + 17 + 3 * 4^k is divisible by 3 as well. 3 * (4^n + 17) would be divisible by 9
This is confusing I need help .
Answer:
x = 54angle ACD = 124°Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
Carmen creates the ratio table below based on one 8-ounce serving of juice
How many total calories will 4 servings of juice contain?
A) 420
B) 520
C) 650
D) 780
Answer:
B
Step-by-step explanation:
The pattern is adding 130, or multiply the servings by 130.
so if 3x=390, you would divide both sides by 3 and get 130.
This means that x=130
Now plug in 4x=?
You would get 4*130=?
if you do the math through multiplication you would get 520
Answer:
B
Step-by-step explanation:
I got the unit test right on edg 2020
What is the answer? 30 points and I give Brainliest :)
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answer:
.05n + .25( 35-n) = 6
Step-by-step explanation:
Add the value of each coin times the number of each coin to get the total amount
.05n + .25( 35-n) = 6
The length and width of a rectangle are in a ratio of 7:11. If the perimeter of the
rectangle is 72 cm. Find the
length and
width of the rectangle.
Answer:
14cm and 22cm
Step-by-step explanation:
Given parameters:
Perimeter of rectangle = 72cm
Ratio of length to width = 7: 11
Unknown:
Length and width of the rectangle = ?
Solution:
Since the ratio of length to width is 7: 11,
if the length is 7x , width = 11x
The perimeter of a rectangle can be obtained using
Perimeter = 2(L + W)
Insert the parameters and solve;
72 = 2(7x + 11x )
72 = 2(18x)
x = [tex]\frac{72}{36}[/tex] = 2
The length = 7x = 7x2 = 14cm
width = 11x = 11 x 2 = 22cm
The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.
Ο Α.
;0.318 kg
y = 487
B.
: 0.847
kg
y=
oc.
: 442.302 kg
y = 487
s(1
»=2(43);
OD
: 0 kg
Answer:
a(t) = 487(1/2)^(t/36)a(5) = 442.302 kgStep-by-step explanation:
The exponential function for half-life problems is easily written using 1/2 as the base of the exponent.
present value = (initial value) × (1/2)^(t/(half-life))
Then the amount (a) remaining after t days is ...
a(t) = 487 × (1/2)^(t/36)
__
After 5 days, the amount remaining is ...
a(5) = 487×(1/2)^(5/36) ≈ 442.302 kg
_____
Some folks like their exponential function to be written using e as the base for the exponent. Here, that would be ...
a(t) = 487·e^(-0.019254t)
where the constant in the exponent is -ln(2)/36.
A pilot planning to fly at 420 miles per hour flies against a wind which cuts the speed to 4/5 of the planned speed. How long
will it take the plane to travel 840 miles?
Answer:
2.5 hours
Step-by-step explanation:
420x4/5=336
840/336=2.5
Answer
2.5 hours
Step-by-step explanation:
4/5 of 420 is 336 mph
840 ÷ 336 = 2.5 hours
Combine the like terms to create an equivalent expression:
\large{-5+(-5r)+10}−5+(−5r)+10
Answer:
−10r +10
Step-by-step explanation:
Let's simplify step-by-step.
−5−5r+10−5−5r+10
=−5+−5r+10+−5+−5r+10
Combine Like Terms:
=−5+−5r+10+−5+−5r+10
=(−5r+−5r)+(−5+10+−5+10)
=−10r+10
Answer:
−5r+5
Step-by-step explanation:
the sum of two numbers is 10 the difference between the two numbers is 4
Answer:
7 and 3
Step-by-step explanation:
7+3=10. And 7-3=4
What is an equation of the line that passes through the point (5,-5) and is parallel to the line x+5y=20
Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
Answer: y = -(1/5)x - 4
Step-by-step explanation:
100 micrograms of a drug are contained in 2 milliliters. How many milliliters are contained in 15 micrograms?
Answer:
.3
Step-by-step explanation:
multiply .15 by 2
Pls helpppppppppppppppppp
Answer: 75
Step-by-step explanation:
Multiple all those numbers together and then divide by 3
Answer:
75
Step-by-step explanation:
V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75
I'm confused there is only i answer is it B or D?
Answer:
B
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
Find x and y. Need answer ASAP!!!
Answer:
x = 16, y = 23
Step-by-step explanation:
Consider angles related to the parallel lines and the left transversal
4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus
7x - 44 = 4x + 4 ( subtract 4x from both sides )
3x - 44 = 4 ( add 44 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
----------------------------------------------------------
Consider angles related to the parallel lines and the right transversal
39 and 8y - 43 are same- side exterior angles and supplementary, thus
39 + 8y - 43 = 180 , that is
8y - 4 = 180 ( add 4 to both sides )
8y = 184 ( divide both sides by 8 )
y = 23
Write the equation of a line that is perpendicular to y = 0.25x - 7 and that passes through the point (-6,8).
Answer:
y = -4x -16
Step-by-step explanation:
Line perpendicular have the slope = -1/m
Substitute the values,
8 = (-4)(-6) + c
8 = 24 + c
c = -16
Thus, the equation of the perpendicular line is y = -4x-16
Solve the system equation for X and using the elimination method .
- 2x + Зу = -1
2х + 5y= 25
Answer: 2х+5y=25= Slope = -0.800/2.000 = -0.400
x-intercept = 25/2 = 12.50000
y-intercept = 25/5 = 5
so slope form =0,400
x intercept form = 12.50000
y intercept =5
and the answer to 2x+3y=-1= Slope = 1.333/2.000 = 0.667
x-intercept = 1/2 = 0.50000
y-intercept = -1/3 = -0.33333
Step-by-step explanation: an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+5y-25 = 0 and calculate its properties
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 25/5 = 5
When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000
x-intercept = 25/2 = 12.50000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.800/2.000 = -0.400
Geometric figure: Straight Line
Slope = -0.800/2.000 = -0.400
x-intercept = 25/2 = 12.50000
y-intercept = 25/5 = 5
Factor -6m + 9.
-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)
Answer:
-3(2m - 3)
Step-by-step explanation:
Find GCF
-3 so -6m/-3 = 2m
9/-3 = -3
-3(2m-3)
Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 106.40 ALL. How many dollars (USD) could you exchange for 1,000,000 ALL? Answer: 1,000,000 ALL = _______ USD. Round your answer to two (2) decimal places. *
Answer:
$9398.50
Step-by-step explanation:
Given
[tex]\$1 = 106.40\ ALL[/tex]
Required
Equivalent of 1,000,000 ALL
We have:
[tex]\$1 = 106.40\ ALL[/tex]
and
[tex]\$x = 1000000\ ALL[/tex]
Cross Multiply
[tex]x * 106.40 = 1 * 1000000[/tex]
[tex]106.40x = 1000000[/tex]
Solve for x
[tex]x = 1000000/106.4[/tex]
[tex]x = \$9398.50[/tex] -- Approximated
x = y, If y=9, then x = 9
what property is this?
Answer:
The Transitive Property for x and y
Step-by-step explanation:
Analyze the number line below and answer the question that follows.
If jpg, where could point I be?
A.
–7
B.
–6
C.
–5
D.
–4
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
PLEASE HELP!!
For what value of x does 2x-4/x+7 = 1/3?
A. 33/5
B. 2
C. 19/5
D. -7
Answer:
A i think
Step-by-step explanation:
1 Multiply both sides by 3x3x.
6{x}^{2}-12+21x=x6x
2
−12+21x=x
2 Move all terms to one side.
6{x}^{2}-12+21x-x=06x
2
−12+21x−x=0
3 Simplify 6{x}^{2}-12+21x-x6x
2
−12+21x−x to 6{x}^{2}-12+20x6x
2
−12+20x.
6{x}^{2}-12+20x=06x
2
−12+20x=0
4 Use the Quadratic Formula.
x=\frac{-20+4\sqrt{43}}{12},\frac{-20-4\sqrt{43}}{12}x=
12
−20+4√
43
,
12
−20−4√
43
5 Simplify solutions.
x=-\frac{5-\sqrt{43}}{3},-\frac{5+\sqrt{43}}{3}x=−
3
5−√
43
,−
3
5+√
43
The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
Step-by-step explanation:
So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.
It can be done just by applying Unitary Method!So,
6.5 kg -- Rs. 520
1 kg -- Rs.(520/6.5) = Rs.80
So, cost of 1 kg apples is Rs.80.If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?
Answer
i'm pretty sure 64 people attended the concert.
Step-by-step explanation:
Tell me if this helped or not.
Which expression has the same value as 4÷25?
Answer:
We need the choices, since there are plenty equations with the same value.
Step-by-step explanation:
4/25=0.16
Whichever equation equals 0.16 is your answer.
Who c is the value of the expression [(10^4)(5^2)/10^3)(5^3)]^3 1 2 8 10
Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?
Answer:
5
Step-by-step explanation:
Average rate of change is slope, which is change in y over change in x:
[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]
The average rate of change of the function is 5.
What is the average rate of change of a function?The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.
The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.
The value of the function for x = 6 is:
f(6) = 5(6) + 2
f(6) = 32
The value of f(x) for x = -2 is:
f (-2) = 5(-2) + 2
f(-2) = -10 + 2
f(-2) = -8
The average rate of change of the function is given by:
( f(6) - f(-2) )/ (6 - (-2))
= ( 32 - (-8))/ (6 + 2)
= ( 32 + 8)/8
= 40/8
= 5
Hence, the average rate of change of the function is 5.
Learn more about the average rate of change:
https://brainly.com/question/23715190
#SPJ2
How was triangle A translated?
O four units left
O four units right
O six units left
O six units right ark this andTetrn
Answer:
D
Step-by-step explanation:
i know its six units right but i dont know what the rest of the answer says tho
Answer: D
Six units right
Step-by-step explanation:
I got it right on edg2020
Find the variables.
(2x)"
54
x=
Answer: x= 108
Step-by-step explanation: (2x)" 54 x= 108x^2= (2^X3^3x^2 )= 108
Select the equivalent expression.
Answer:
The Answer is B
Step-by-step explanation:
In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]
Ma smith invested $1240 more in stock A than in stock B if she invested a total of $6000 in the two stock How much did she invest in stock A?
Answer:
stream walls by louis tomlinson on itunes
Step-by-step explanation:
3 708 000 000 in scientific notation
3,708,000,000 in scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]
