Answer: 165
Step-by-step explanation:
Exponential equation for decay :[tex]A= P(1-r)^t[/tex] , where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
[tex]A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165[/tex]
Hence, the population of the town in 2015 = 165
if its total was $490 for the week, what was its average daily change?
Answer:
$70/day
Step-by-step explanation:
7 days = 490
1 day = X
Cross multiply
7X = 490
Divide both sides by 7
X=70
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
Tucker drove at a speed of 45 miles per hour. How many feet per hour was Tucker traveling?
Answer:
237600 feet per hour
Step-by-step explanation:
there are 5280 feet in a mile
if he is going 45mph you multiply 45 by 5280
45 x 5280 = 237600
What is the equation of the line in slope-intercept form
Answer:
y=1/3x+45
Step-by-step explanation:
The ___ is the set of outputs for a function.
Answer:
Range
The set of output values is called the range of the function.
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answer:
6.4
Step-by-step explanation:
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as aboveI need help!!!!! Jdjshekosixjsjjejfixis
SLOPE AND PARALLELISM
COMMON CORE GEOMETRY PRACTICE
MEASUREMENT AND CONSTRUCTION
1. Graphically determine the slopes of the line segments that create shown below. Write your final
slopes in simplest form.
(a) AD
(b) CD
(c) AC
What is an equation of the line that passes through the points (4,−1) and (8, 5)? Put your answer in fully reduced form.
HELP PLS
Answer:
y=2/3x-7
Step-by-step explanation:
The slope intercept formula is
y=mx+b
(m) is the slope (rate of change)
(b) is the y intercept (where the line crosses the y axis [vertical])
We need to find the slope and the y intercept. First we will find the slope.
The formula for slope is y1-y2/x1-x2
In and ordered pair the first value is the (x) and the second is the (y).
(x, y)
We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.
5-(-1)/8-4
Simplify.
5-(-1) =5+1= 6
8-4=4
6/4 Simplify
3/2 is our slope.
Now we apply out new slope into our y=mx+b
y=3/2x+b
Now we need to find the (b) which is the y intercept.
To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).
In this ordered pair 4 is the (x) and -1 is the (y)
So replace (y) with -1 and (x) with 4
-1=3/2(4)+b
Now solve as usual.
-1=6+b
subtract 6 from each side
-7=b
b=-7
Put our (m) and (b) into our formula.
y=2/3x-7 is our equation.
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°. Write and solve an
equation to find the measure of the other remote interior angle.
Enter the correct answers in the boxes.
Equation:
X=
Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The exterior angle is equal to the sum of the interior angles in a given triangle.
The measure of the other remote interior angle is 60°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Let the measure of the other interior angle = M
The exterior angle is equal to the sum of the interior angles in a given triangle.
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.
This means,
M + 20 = 80
Solve for M.
M + 20 = 80
Subtract 20 on both sides.
M = 80 - 20
M = 60
Thus,
The measure of the other remote interior angle is 60°.
Learn more about triangles here:
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HELP ME ASAP PLEASEEEEEEEE
Answer:
y= 3/2x+ 360
Step-by-step explanation:
3/2 is the slope
360 is the b (y intercept)
Answer:
slope m = -60
equation y = -60x + 360
Step-by-step explanation:
to find slope use two points given
(x1, y1) = (6, 0)
(x2, y2) = (0, 360)
m = (360-0) / (0-6) = -60
equation y = mx + b
b is the y intercept at (0,360), b= 360
y = -60x + 360
Simplified or expanded version of 8(4x-12)
Answer: 32x - 96
Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps
Help please, question attached
Answer:
C. x = 8
Step-by-step explanation:
We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.
Let's multiply 6 x 6 x 6.
36 x 6 = 216.
Let's multiply 8 x 8 x 8.
64 x 8 = 512
The answer would be C. x = 8.
I hope that this helps! :)
Answer:
8
Step-by-step explanation:
x³ = 512
x³ = 8³
Cube root on both sides,
x = 8
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
a 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour
====================================================
Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
40
77
4,096
9,317
plus brainlyest and im being timed
Question...Sleep is known to affect student grades. Kirsten is conducting a study in a local high school using two treatments on two groups of students. One group will nap one hour in an eight-hour school day and another will nap 30 minutes in an eight-hour school day. What group would be the best control for the study?
Options...
A third group that takes a one-hour nap or a 30-minute nap randomly each day
A third group that shortens the school day to six hours
A third group in which no naps occur
A third group that splits the day with a 30-minute nap in the morning and a 30-minute nap in the afternoon
A third group in which each student chooses either a 30-minute nap or a one-hour nap
Answer:
c
Step-by-step explanation:
a third party group in which no naps occur
W
What is the prime factorization of 72? (1 point)
O 1x2x4x9
O 22x32
0 22x33
O 2x32
Answer:
2³×3²
Step-by-step explanation;
TO FIND A PRIME FACTORIZATION OF A NUMBER YOU FIRST NEED TO KNOW PRIME NUMBERS ARE;Prime Numbers are numbers which which have only two factors the number itself and one
Examples of Prime Numbers are;
2,3,5,7,11,13,17,19,23,29,etc
To Find The Prime Factorization Of The Number 72 you'll need to follow this;
72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)
72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)
72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)
72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)
So; 72=2×2×2×3×3
So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;
2³×3²
So The Prime Factorization of 72 is; 2³×3²
12 points? Please ASAP NEED HELPPPPP
Answer:
she is correct because if you reflect that over the Y axis
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
To learn more about the equation;
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what does each letter of pe = mgh mean?
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity and h is the height in meters.
Hope this helps
Answer:
physical education
Step-by-step explanation:
p: physical
E: education
Which of the following does not represent a function?
PLEASE HELPP ME
15 POINTS OR BRAINLIEST ?!??
Answer:
G is not a function
Step-by-step explanation:
Answer:
H.
Step-by-step explanation:
something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.
that's why parabolas aren't functions (if you know what those are).
hopefully that helps and isn't too confusing! if you need anything else, let me know! :)
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.