Answer:
year 1 $520
year 2 $540.80
year 3 $562.43
Step-by-step explanation:
100 + 4 = 104
104/100= 1.04
500 X 1.04^of how many years
Could someone help me I’m almost done please please
y=4
Step-by-step explanation:
cube root 64
Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form. The line of best fit equation in slope-intercept form is y =
Answer:
Equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] where ([tex]x_2,y_2[/tex]) and ([tex]x_1,y_1[/tex]) is the points on line
let, points be (4,96) and (18,36)
on calculating this m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]-\frac{30}{7}[/tex]
Therefore equation of line best fits the scatter plot is y = [tex]-\frac{30}{7} x + 108[/tex]
Write the equation of the line that passes through (4,-3) & (3,0)
m =
b =
y =
Answer:
m = -3
b = 9
y = -3x + 9
Step-by-step explanation:
Let us solve the question
∵ The line passes through points (4, -3) and (3, 0)
∵ The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
∵ (x1, y1) and (x2, y2) are 2 points on the line
∴ x1 = 4 and y1 = -3
∴ x2 = 3 and y2 = 0
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{0--3}{3-4}[/tex] = [tex]\frac{0+3}{-1}[/tex] = -3
∴ m = -3
∵ The form of the equation of the line is y = m x + b
→ Substitute the value of m in the form of the equation.
∴ y = -3x + b
→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)
∵ x = 3 and y = 0
∴ 0 = -3(3) + b
∴ 0 = -9 + b
→ Add 9 to both sides
∴ 9 = b
∴ b = 9
→ Substitute the value of b in the equation
∵ y = -3x + 9
∴ The equation of the line is y = 3x + 9
you saved $250.00 to spend over the summer. You decide to budget $25.00 to spend a week. Define the variable and write a function that represents this situation
Answer:
200
Step-by-step explanation:
if p=3+2√2 find the values of p+1/p
Answer: 1,71572875
Step-by-step explanation: (4+2rad2)/3+2rad2
Answer:
6
Step-by-step explanation:
1/p = 1/(3 + 2sqrt2)
Multiplying by the conjugate (which you should pretty much always do to simplify), we get
(3-2sqrt2)/((3+2srqt)(3-2sqrt2))
which is
(3-2sqrt2)/(9-8) = 3-2sqrt2.
Therefore p + 1/p = 3+2sqrt2 + 3 - 2sqrt2 = 6
The table below shows the number of strawberries and cups of water
used to make fruit punch according to a certain recipe.
Strawberries Water (cups)
384
30
320
25
How many cups of water are needed for every 1 strawberry? Note:
Your answer may be exact or rounded to the nearest hundredth.
Answer:
5/64 of a cup.
Step-by-step explanation:
Is there two columns of data and two data points? Like this:
Strawberries Water
384 30
320 25
If so, then there are two ways to do it.
1) You can set up a ratio like this
384/30 = 1/x
Where x is the number of cups of water for 1 strawberry.
So,
x = 30/384 of a cup
x = 5/64 of a cup.
2) Look at the increase from one to the other.
64 strawberries requires 5 cups of water
Divide by 5 by 64 to get the water for one strawberry
5/64 of a cup.
PLEASE SHOW FULL SOLUTIONS!!!!!! WILL MARK BRAINLIEST TO THE BEST ANSWER!!! THANK YOU AND GOD BLESS...
9514 1404 393
Answer:
x = 60y = 50Step-by-step explanation:
The linear pair at G totals 180°, so we have ...
x + 2x = 180
3x = 180 . . . . . collect terms
x = 180/3 . . . divide by 3
x = 60
__
The total of angles in the triangle is 180°, so ...
x + y + 70 = 180
60 + y + 70 = 180 . . . . substitute for x
y = 180 -130 . . . . . . . . . subtract 130
y = 50
please help
write the fraction as a decimal
Answer:
it's 7 divided by 10
transfer the 0 up and make it 0.7
1 over 8 + c = 4 over 5 whats x?
Please help!!:
Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).
Answer:
I think
y=1/3x-10/3
Step-by-step explanation:
Perpendicular Lines mean they have the negative reciprocal slope. This line has slope m = -1/3 so the perpendicular line has slope m = + 1/3
Our point is (3, 5)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - 5) = m(x - 3)
(y - 5) = 1/3(x - 3)
y -5=1/3x-10/3
Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.
Answer:
37.7m
Step-by-step explanation:
Triangle ABC is shown. DE is a straight line with D on AC and E on BC AB = 46m, EC = 18m, CD = 29m and ED = 20m. Calculate the length AD.
We solve using Similarity Theorem
BA/AC =BD/DC
46/AD+29 = 20/29
Cross Multiply
46 × 29 =20 (AD + 29)
1334 = 20AD + 580
20AD = 1334 - 580
20AD = 754
AD = 754/20
AD = 37.7m
1) Name the triangle.
scalene and acute
() isosceles and acute
() isosceles and right
()) scalene and right
Answer:
Isosceles and right triangle
Solve for p. p/8 + 12 = 36
9514 1404 393
Answer:
p = 192
Step-by-step explanation:
p/8 +12 = 36 . . . . . given
p/8 = 24 . . . . . . . . .subtract 12
p = 8·24 . . . . . . . . .multiply by 8
p = 192
In the previous election 6,400 people voted. What is the percent decrease in actual voters?
A 8.6%
B. 11.4%
C 12.5%
D. 14.3%
Answer:
14.3%
Step-by-step explanation:
6400-5600=800
800/6400×100=14.3
Answer:
14.3
Step-by-step explanation:
Jan creates a pattern using the rule "add 3". Bill creates pattern using the rule "add 6." Which describes the relationship between Jan and Bill's patterns?
Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.
Step-by-step explanation:
Jan created a pattern by adding 3 and Bill created a pattern by adding 6.
6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.
To prove it:
12 is twice the value of 6
18 is twice the value of 9
24 is twice the value of 12
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
Cheryl decorated a border of a birthday card with flowers. The flowers were 1/200 m apart. The length of the border was 1/5 m. There was a flower at each end of the border. How many flowers did she draw?
Answer:
She draw 40 flowers
Step-by-step explanation:
Given
[tex]Length = \frac{1}{5}m[/tex]
[tex]Flower = \frac{1}{200}m[/tex]
Required
Determine the number of flowers
To do this, we simply divide the length of the border by the length of the flower.
[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]
Convert to multiplication
[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]
[tex]Number = \frac{200}{5}[/tex]
[tex]Number = 40[/tex]
Hence, she draw 40 flowers
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5
Which set of ordered pairs does NOT represent a function?
a. ((-3,9), (-2,4), (-1, 1), (0,0), (1.1), (2. 4). (3.9))
b. (1,3), (2, 6), (3,9), (4, 12). (5. 15))
c. (t.1), (4,2). (9. 3). (16,4). (25, 5))
d. 19.-3), (4, -2), (1, -1), (0.0), (1, 1), (4,2). (9. 3)
Write the slope-intercept form of the equation of each line.
Answer:
1) positive 2)negative 3)negative
Step-by-step explanation:
i hope thats what your asking
1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:
2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help
Question 1)
Given the points
(3, 5)(3, -6)Finding the slope between (3, 5) and (3, -6)
(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
(-6, 2)(8, 2)Finding the slope between (-6, 2) and (8, 2)
(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =
Answer:
a+b = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
3(a + b)^2 = 81
(a + b)^2 = 27
a + b = sq rt 27
a + b = [tex]\sqrt{9}[/tex]· [tex]\sqrt{3}[/tex]
a + b = 3[tex]\sqrt{3}[/tex]
I need help with this please
10) Determine which of the following are functions. 11) What are the domain and range of the following relation?
Answer:
10) The first 2 on the left are functions and the one on the top right is a function, but the bottom right is not.
11) Domain = (2, 8, -1, 0) Range = (5, -2, 4, 5)
Congruent Triangles! PLZ HELP GIVING BRAINLIEST ANSWER!!
what is the measure of angle b?
A. 36⁰
B. 117⁰
C.63⁰
D. 56⁰
Answer:
A
Step-by-step explanation:
180⁰= a+b+81⁰
a=180⁰-117⁰=63⁰
b=180⁰-63⁰-81⁰=36⁰
help! Very urgent
Fimd the area and the perimeter of this shape
Pls help
Answer:
You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.
In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number
Answer:
15 is the product of the digits of the number
Step-by-step explanation:
Let the two digit number be xy
Unit digit is 2 more than ten’s digit
y - x = 2 ••••••(i)
Secondly;
x + y = (10x + y) - 27 •••••(ii)
From i, y = x + 2
Put this into ii
x + x + 2 = 10x + x + 2 - 27
2x + 2 = 11x - 25
11x - 2x = 25 + 2
9x = 27
x = 27/9
x = 3
From above;
y = x + 2
y = 3 + 2 = 5
The product of the numbers xy will be 5 * 3 = 15
QUICK ANSWERS PLEASE!!!!!!
Find the measure of each angle:
Answer:
1) 63
2) 49
3) 87
4) 44
Step-by-step explanation:
You roll a fair six sided cube and flip a coin. What is the probability that you roll an even number and the coin lands on tails?
Answer: Since flipping a coin and rolling a 6-sided die are independent events ,thus the probability of getting head and an even number is just the product of the individual probability of events.
Let A be the event of getting a head ,and B be the event of getting an even number on die.
therefore, P(A and B)=P(A) P(B)=(1/2)*(3/6)=1/4=0.25.