Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
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What is the value of the expression (64+4^2 )
______ its a fraction
2^2
Answer:
80
Step-by-step explanation:
64 + 4²
64 + 16
80
I didn't understand that fraction part of the question. Sorry.
What is the slope of the line that passes through the points (8, 8)(8,8) and (20, -2) ? (20,−2)? Write your answer in the simplest form.
Answer: -5/6
Step-by-step explanation:
slope formula m=(y2-y1)/(x2-x1)
m=(-2-8)/(20-8)
m=-10/12
(simplify) m=-5/6
The slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is: [tex]\mathbf{-\frac{5}{6}}[/tex]
Recall:
Slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Thus:
Given two points that a line passes through as: (8, 8) and (20, -2),
Let,(8, 8) = [tex](x_1, y_1)\\\\[/tex]
(20, -2) = [tex](x_2, y_2)[/tex]
Plug in the values into the slope (m) formulaSlope (m) = [tex]\frac{-2 - 8}{20 - 8}[/tex]
Slope (m) = [tex]\frac{-10}{12}[/tex]
Simplify the fractionSlope (m) = [tex]\mathbf{-\frac{5}{6}}[/tex]
Therefore, the slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is: [tex]\mathbf{-\frac{5}{6}}[/tex]
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What is the area of a rectangle on a graph
60 units
Answer:
76 unit
Step-by-step explanation:
because added the rectangle size and added the 60 with 16
what is the equation of the line that passes through the point (-2,-2) and is parallel to the line 3x-y=2
Answer:
y = 3x + 4
Step-by-step explanation:
Turn the equation from standard form to slope intercept form. So, solve for y.
3x - y = 2
~Subtract 3x to both sides
-y = 2 - 3x
~Divide -1 to everything
y = -2 + 3x
~Reorder
y = 3x - 2
The slope of a parallel line is the same as the original.
Find the new y-intercept.
y = 3x - 2
-2 = 3(-2) + b
-2 = -6 + b
4 = b
y = 3x + 4
Best of Luck!
*CAN YOU HELP PLEASE*
Answer:
#1 x is 35
#2 x is 12
#3 x is 3
#4 is m and n
#5 x is 17
Step-by-step explanation:
Hope this helps
Answer:
35
Step-by-step explanation:
x(5x - 2) when x = 3
EMERGENCY
Answer:
39
Step-by-step explanation:
Step 1: Define
x(5x - 2)
x = 3
Step 2: Distribute
5x² - 2x
Step 3: Substitute and Evaluate
5(3)² - 2(3)
5(9) - 6
45 - 6
39
Answer:
39
Step-by-step explanation:
x(5x - 2)
Substitute x for 3
3(5 x 3 - 2)
Multiply inside Parenthesis
3(15 - 2)
Subtract 2
3(13)
Multiply to get
39
Unit Rates a
Name:
A
1. A printer printed 60 pages in 5 minutes. Find
the unit rate of pages per minute.
Answer:
12 pages per minute
Step-by-step explanation:
60 pages are being printed in 5 minutes.
60 pages/5 minutes = 12 pages/minute
Answer:
12 pages per minute
Step-by-step explanation:
60 = 5 minutes
1 minute = 60/5 = 12
What will be the coordinates of point A if figure ABCD is reflected across the x-axis?
The coordinates of points A are -2 and 5.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
In the given image there is a rectangle ABCD on the coordinate axes. All the vertices of the rectangle are having coordinates. Point A of the rectangle is in the second quadrant where the value of y is positive but the value of x is negative. The coordinates of points A are -2 and 5.
Therefore, the coordinates of points A are -2 and 5.
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Simplify the expression 2 2/5 + 2 (-1/5)
Answer:
2 2/5 + 2 (-1/5)=2
Step-by-step explanation:
2 2/5+ -2/5
2x5+2/5+ -2/5
12/5 + -2/5
12/5 - 2/5
12-2/5
10/5
2
How to measure 4 tablespoons of butter
1⁄4 cup = 1⁄2 stick = 4 tablespoons = 2 oz. = 57g
1⁄2 cup = 1 stick = 8 tablespoons = 4 oz. (1⁄4 pound) = 113g
3⁄4 cup = 11⁄2 sticks = 12 tablespoons = 6 oz. = 170g
1 cup = 2 sticks = 16 tablespoons = 8 oz. (1⁄2 pound) = 227g
11⁄4 cups = 21⁄2 sticks = 20 tablespoons = 10 oz. = 284g
11⁄2 cups = 3 sticks = 24 tablespoons = 12 oz. (3⁄4 pound) = 341g
13⁄4 cups = 31⁄2 sticks = 28 tablespoons =14 oz. = 398g
2 cups = 4 sticks = 32 tablespoons = 16 oz. (1 pound) = 454g
The wrapping on each stick indicates tablespoon measures (8 tablespoons per stick). So if you are using cup measures you could pack the butter into a measuring cup or below is a ready reckoner which may help if you have scales. 1 stick butter = 8 tablespoons = 1/2 cup = 4 ounces/110g.
Common measurements:
1 kilogram = 2.2lbs
454 grams = 1lb = 16 oz
28.35 grams = 1 oz
1 tbsp = 15 ml
1 tsp = 5ml
1 tbsp = 3 tsp
4 tbsp = 1/4 cup
1 cup = 250ml = 8 fluid oz
1 fluid oz = 29.5 ml = 2 tbsp
1 pint = 2 cups
You could see that 4 tablespoons = 1/4, so you could pour and melt it in a measuring cup.
The scale of a map says that 8cm represents 5km what is the actual number of kilometers that is represented by 5 centimeters on the map
Answer:
8 km
Step-by-step explanation:
It is given that, the scale of a map says that 8 cm represents 5 km. We need to find the actual number of kilometers that is represented by 5 centimeters on the map.
8 cm = 5 km
1 cm = (8/5) km
For 5 cm, multiply (8/5) km by 5.
So,
x = 8 km
So, 8 km is represented by 5 centimeters on the map.
question is in the pic
Answer:
>
Step-by-step explanation:
Motorcycle travel 90 mph accelerates to pass a truck five seconds later the car is going 120 mph calculate the acceleration
Answer:
Explanation:
Let Vc be the velocity of the car and I'm the velocity of the motorcycle. If we convert their given values, we get:
Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s
Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s
Since their positions are equal after 17s we can stablish that:
Where d is the initial separation distance of 54m. Solving for a, we get:
Repacing the values:
Suppose lim f(x)=-1, lim f(x)=-1, and f (-3) is not defined.
Which of the following statements is (are) true?
I.
lim f(x)=-1
II. f is continuous everywhere except at x = -3.
III. f has a removable discontinuity at x = -3.
(A) None of them
(B) I only
(C) III only
(D) I and III only
(E) All of them
What is the volume of the cone to the nearest cubic millimeter? (Use n = 3.14)
A)
151 mm3
B)
301 mm)
402 mm
D)
1,206 mm
Answer:
B
Step-by-step explanation:
I took the k12 test
Detemine the x- and y-intercepts of the graph y= -1/3x+2
Answer:
Step-by-step explanation:
y intercept is 2
x intercept is 6.
Is 90,953,135 divisible by 5?
Answer:
Yes
Step-by-step explanation:
If the number ends with 5 or 0, then it is divisible by 5
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What is the value of Variable g in this equation
G^3=729
Answer:
[tex] \sqrt[3]{g } = \sqrt[3]{729} [/tex]
[tex]g = 9[/tex]
i have 2 cows and my mom has 4 but my sister sells 3 how many do i have
Answer:
2 cows
Step-by-step explanation:
Want brainliest?
Plz help with this !
it's the 3rd one.
Step-by-step explanation:
The x intercept is 10
the rest does not make sense in this question.
Mrs ramos thumb measures 4 centimeters express this length in meters
Answer:
0.04
Step-by-step explanation:
4 centimeters=0.04 meters
The first two digits of Oliver's three-digit
apartment number are 1 and 2. His apartment
number is a prime number. What is Oliver's
apartment number?
Answer:
127
Step-by-step explanation:
Which statements are correct interpretations of this graph?
Select EACH correct answer.
A 1 2/3 of a page is edited per minute
B 3 pages are edited every 5 min
C 5 pages are edited every 3 min
D 6/10 of a page is edited per minute
Answer:
B. 3 pages are edited every five minutes
D. 6/10 of a page is edited per minute
Step by step:
Three pages are done at an interval of five minutes.
Six tenths of a page is done every minute
0.6 * 5 = 3 per five minutes
The other statements are false.
12/3 = 4, four done every minute, really?
5 pages are edited every three minutes.
This would disprove statement B.
And does not align with the graph.
Hope this helps.
Answer:
B. 3 pages are edited every five minutes
D. 6/10 of a page is edited per minute
Step-by-step explanation:
An alien blob started with a mass of 18 kg and is doubling in size every day. How large will the blob be after 2 weeks? y= a(b).
Answer:
214kg
Step-by-step explanation:
We can use the equation [tex]f(x)=(x)^2+18[/tex] to model the blobs growth. There are 14 days in 2 weeks so if we plug in [tex]f(14)[/tex] that will give us [tex]f(14) = (14)^2+18\\f(14)=214[/tex] so the blob will be 214kg in 2 weeks.
9.
A regular pentagon is centered about the origin. Which transformation
maps the pentagon onto itself?
a. A reflection across line m
b. A reflection across the x-axis
C.
d.
A clockwise rotation of 144 degrees about the origin
Answer:
The answer is D. A clockwise rotation of 144 degrees about the origin.
Step-by-step explanation:
In most cases; when an object is transformed, the position of the object changes. A clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.
Given:
The attached pentagon
The number of sides (n) in a pentagon is:
[tex]n = 5[/tex]
The pentagon will not be mapped onto itself when reflected across line m because m is not at the center of the polygon
The pentagon will not be mapped onto itself when reflected across the x-axis because the pentagon has 5 sides (odd number of sides)
To map the pentagon onto itself, the pentagon has to be rotated.
The angle of rotation is:
[tex]\theta = \frac{360}n[/tex]
[tex]\theta = \frac{360}5[/tex]
[tex]\theta = 72[/tex]
Other possible angles of rotation must be a multiple of 72. i.e.
[tex]\theta = 72, 144, 216, 288....[/tex]
This means that: option (d) is correct because 144 is a multiple of 72
Hence, a clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.
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In Orlando, Florida, there are an average of 24 days of rain each June. What percent of the month of June experiences rain?
Answer:
80%
Step-by-step explanation:
Set up a proportion: [tex]\frac{24}{30} = \frac{x}{100}[/tex] Cross multiply, then divide: 100 × 24 = 2400, 2400 ÷ 30 = 80So, x equals 80.80/100 = 80%I hope this helps!
The percentage of the month of June that experiences rain is 80%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of days in June = 30.
Number of days in June that rains = 24
Now,
The percentage of days that rain in June.
= 24/30 x 100
= 80%.
Thus,
80% of the days in June rain.
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Nadia bought 4.3 pounds of ham on Tuesday and 1.7 pounds of ham on Wednesday. She spent a total of $41.94. What was the price of the ham per pound?
$5.74
$6.99
$9.36
$16.13
Somebody please help ASAP!!!!
Select all segments parallel to FE.
HF
AB
FC
GH
ID
CD
BE
GJ
AJ
BC
IH
GE
AD
IJ
Answer: CB, DA, IJ, HG
Step-by-step explanation:
As long as the lines never intersect, they are parallel
Answer:
DONT CHEAT
Step-by-step explanation:
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while.
How many miles has the car traveled if it has the following amounts of gas left in the tank (15 galllons)?
Answer:
30
Step-by-step explanation:
The car has travelled for 30 miles.
Amount of gallons in fuel tank = 16 gallons
Gas mileage = 30 miles per gallon.
Since the driver has 15 gallons left, the number of miles that the car traveled will be:
= (16miles - 15 miles) × 30
= 1 mile × 30
= 30 miles
The car travelled for 30 miles.
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