Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.
Answer:
First Box: 3/6 --- 1/2
Second Box: 3/10
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
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3/4 divided by 1/5
HELPPP
Answer:
3.75
Step-by-step explanation:
3/80 as a fraction maybe
3 3/4 as a mixed fraction
please help i give 20 points and possibly brainliest to the right answer
Answer:
g(x): horizontal compression
h(x): vertical stretch
p(x): vertical compression
w(x): horizontal stretch
Step-by-step explanation:
g(x): horizontal compression
h(x): vertical stretch
p(x): vertical compression
w(x): horizontal stretch
The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
The points (4,16) and (−4,−16) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of a?
Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values
any more help just ask :)
how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
(-2,6) and (1,-1) whats the slope
Answer:
7/-3
Step-by-step explanation:
6--1=7
-2-1=-3
Answer:
The slope is m=-7/3
m=y²-y¹/x²-x¹
m=(-1)-6/1-(-2)
m=-7/3
How would i know if a line on a graph has passed the vertical line test?
Answer:
The vertical line will only pass the graph line once.
Step-by-step explanation:
For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.
Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!
Evaluate the expression yz when x= 3, y=6 and z=12.
Answer: 72
Step-by-step explanation:
y=6, z=12
yz=6 x 12=72
Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see the roots at two points
these are points x = 4 and x = 5
This can be written in their linear forms as;
x-4 and x-5
Finding the products of both, we have
x(x-5) -4(x-5)
= x^2 -5x -4x + 20
= x^2 - 9x + 20
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
Find the slope of the graph
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
PLEASE HELP!!! The population of a town was 780 in 1970. The population has been growing at a rate of 26% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?
A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain
Miami gets 6.12 more inches of rain.
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68
While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Hence, For Miami;
= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68
= 25.02
For Tampa;
= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69
= 18.90
Thus, Find difference as;
= 25.02 - 18.90
= 6.12
Therefore, Miami gets 6.12 more inches of rain.
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y+1=5(x−9) is it linear or non-linear?
Answer:
yes its linear
Step-by-step explanation:
in ACE, G is the centroid and BE = 9. find BG and GE
Answer:
b-g is 3
g-e is 6
Step-by-step explanation:
good luck, have a good day, can i get brainliest
GE = 6 and BG = 3
What is centroid?The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
Given that, G is the centroid and BE = 9
The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,
BG = 1/3*BE
BG = 1/3*9 = 3
And,
GE = 2/3*9 = 6
Hence, GE = 6 and BG = 3
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What is the slope of the following equation? 8x+3y=9
Answer:
The answer is -8/3.
Step-by-step explanation:
First, you have to make y the subject :
8x + 3y = 9
3y = -8x + 9
y = (-8/3)x + 3
In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
| 5t-1 |=6
Show all work
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answer:
32%
Step-by-step explanation:
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
plz mark as brainliest i tryed my best im sure its right
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
I need help with this question in Geometry.
Answer:
846 in
Step-by-step explanation:
48*15+21*6
720+126=846
Answer:
846 square inches.
Step-by-step explanation:
All you have to do is find the area of the net for the seat back.
Bottom and Top
L = 21 + 3 + 21 + 3 = 48
W = 15
Area
Area = L * w
Area = 48 * 15
Area = 720
Area of the 2 sides .
L = 21
w = 3
Area =2 * L * w There are 2 of them
Area = 21*3 * 2 126
Total 846
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.