Answer:
[tex]y = \frac{11}{8}x + 50[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
The line of best fit
From the attached plot, we have:
[tex](x_1,y_1) = (0,50)[/tex]
[tex](x_2,y_2) = (80,160)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{160 - 50}{80-0}[/tex]
[tex]m = \frac{110}{80}[/tex]
[tex]m = \frac{11}{8}[/tex]
The line of best fit is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{11}{8}(x - 0) + 50[/tex]
[tex]y = \frac{11}{8}x + 50[/tex]
Answer:
The electricity bill will be about $200 when the average temperature reaches 100°F.
another one plz help
Answer:
the answer is the 3rd one
Who could help me with this please and thank you
Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Sum of place value and face value of 5 in 75897 is
Given:
The number is 75897.
To find:
The sum of place value and face value of 5 in the given number.
Solution:
The given number is:
75897
The face value is 5 is always 5.
The number of is 5 on thousands place. So, the place value of 5 is:
[tex]5\times 1000=5000[/tex]
The sum of place value and face value of 5 in the given number is:
[tex]5000+5=5005[/tex]
Therefore, the sum of place value and face value of 5 in the given number is 5005.
Determine wether each equation is correct. Select yes or no
if I have a 68% overall and I get a A+ on a final exam that is worth 20% of my grade what would my grade be? There is 86 questions on the final
Answer:
i guess your new grade would be 88%. If you past 100%, you might pass for that grade. Even if you get a 90%, you'll still be able to pass.
Step-by-step explanation:
What is the value of the expression below
1/4
÷
8
Answer:
1/32
Step-by-step explanation:
1/4 divided by 8
1/4 x 1/8
=1/32
A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20
Complete Question
A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.
Answer:
he Area of the rug is greater than but less than [tex]441ft[/tex]
Step-by-step explanation:
From the question we are told that:
Perimeter [tex]P=60ft[/tex]
Value Range:Between 10-20
Generally the Area of the rug is greater than for values of X and Y greater than 9
Therefore Area is greater than from whole number 9
Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by
[tex]A_l=X*Y[/tex]
Where
[tex]X=9\\Y=9[/tex]
Therefore
[tex]A_l=X*Y[/tex]
[tex]A_l=9*9[/tex]
[tex]A_l=81ft[/tex]
Generally the Area of the rug is less than for values of X and Y less than 21
Therefore Area is less than from whole number 21
Generally the equation for Area greater than A_l is mathematically given by
[tex]A_g=X*Y[/tex]
Where
[tex]X=21\\Y=21[/tex]
Therefore
[tex]A_g=X*Y[/tex]
[tex]A_g=21*21[/tex]
[tex]A_g=441ft[/tex]
Mario went to a store and bought 3 slices of pizza. The guy at the register said " that would be $3.75". Mario then said "wait, let me add 1 more slice of pizza". How much is his bill now?
Answer:
$5
Step-by-step explanation:
Cost per slice
3.75 / 3 = 1.25
Cost of 4 slices
1.25 * 4 = 5
Answer:
$5
Step-by-step explanation:
First, find how much one slice of pizza costs.
Divide Mario's total by the number of slices he got:
3.75/3
= 1.25
So, one slice of pizza costs $1.25
Add this to his total to find how much his bill will be with one more slice:
3.75 + 1.25
= 5
So, his bill will be $5
Pls help, this question has been bugging me for a while.
Answer:
Step-by-step explanation:
The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths
Let x represent the missing side
6^2 = 4^2 + x^2
36 = 16 + x^2 subtract 16 from both sides
20 = x^2 and x = 2[tex]\sqrt{5}[/tex]
PLEASE HELP! Thank you in advance! :3
Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Write an equation that can be used to find y, the total cost to buy x shirts.
Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.
Which equation can be used to find y, the total cost to buy x shirts?
A) y = 9.5x + 22.5
B) y =22.5x + 9.5
C) y = 9.5x - 22.5
D) y =22.5x - 9.5
He would use equation A.
Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
how line did you wait in line? is a statistical question
Answer:
yes
Step-by-step explanation:
hopes this helped;0
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (-3,3)
Answer:
[tex]\boxed {\boxed {\sf d\approx 4.2}}[/tex]
Step-by-step explanation:
The formula for distance is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
x₁= -6 y₁ = 6 x₂ = -3 y₂ = 3Substitute the values into the formula.
[tex]d= \sqrt{ (-3 - -6)^2+(3-6)^2[/tex]
Solve inside the parentheses.
-3 --6 = -3+6 = 33-6 = -3[tex]d= \sqrt{(3)^2+ (-3)^2[/tex]
Solve the exponents.
(3)²= 3*3= 9 (-3)²= -3*-3 =9[tex]d= \sqrt{9+9[/tex]
Add.
[tex]d= \sqrt18[/tex]
[tex]d= 4.24264069[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]d \approx 4.2[/tex]
The distance between the two points is apprximately 4.2
In △LMN , the measures of the angles L, M, and N, respectively, are in the ratio 1:2:5. Find the measure of each angle.
Answer:
1- 22.5°
2- 45°
5- 112.5°
Step-by-step explanation:
[tex]180 \div 8 = 22.5[/tex]
[tex]22.5 \times 5 = 112.5[/tex]
[tex]22.5 \times 2 = 45[/tex]
[tex]22.5 \times 1 = 22.5[/tex]
2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______
Answer:
[tex]Domain =\{0,4,7,10,13\}[/tex]
[tex]Range = \{-5\}[/tex]
[tex]y = -5[/tex] --- function
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}[/tex]
Solving (a): The domain
The x values represent the domain.
Hence, the domain is:
[tex]Domain =\{0,4,7,10,13\}[/tex]
Solving (b): The range
The y values represent the range
Hence, the range is:
[tex]Range = \{-5\}[/tex]
Solving (c): The function
By observation, we can see that for all values of x the value of y remains unchanged (-5)
Hence, the function is:
[tex]y = -5[/tex]
Algebra 2 Exponential Growth or Decay? Please
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
make k the subject of the formula y=
Answer:
You forgot to send the question. Send the full question when you can
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
[tex]=59+0.720\\=59.720\ kg[/tex]
Total weight
[tex]=190+0.640\\=190.640\ kg[/tex]
Then, the cow weight is given by
[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
https://brainly.com/question/28225662
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Nine tokens are black on one side and white on the another initially four tokens have the blackside upwards in each turn tell the least number of turns yo need to have all tokens showing the same colour
Answer:
2
Step-by-step explanation:
Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:
B-B-B-B-W-W-W-W-W
First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:
W-W-B-B-B-W-W-W-W
The second movement is to turn the 3 black ones and thus they would all be blank
W-W-W-W-W-W-W-W-W
This means that, the smallest number of movements is 2.
Jaden bounces the basketball 20 times in 30 seconds. At that rate, approximately
how many times will Jaden bounce the ball in 150 seconds?
Answer:
150÷30 =5
20×5 =100 so in 150 seconds he will bounce the ball 100 times
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
Jester has a business that is not doing well. on Friday, he earned 468 dollars. On Saturday, he earned 459. on Tuesday, he earned 432 dollars. How much money did he earned on Thursday?
Answer:
i think is 424. its what my mom just explain to me
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
is it possible to construct a triangle with the given lengths? 16, 37, 53
Answer:
No, you can not create a triangle with these three side lengths.
Step-by-step explanation:
According to the Triangle Inequality Theorem, in order for three given lengths to form a triangle, two of the side lengths must add up to be greater than the length of the largest length. 16+37 makes 53, which is equal to the length of the largest side, not greater.