Answer:
D
Step-by-step explanation:
you need to subuce the x-2 and y-6
i neeed hellppppp plzzz
Answer:
Mean=85.5
Median=82
Mode=82
Range=25
Please would you mind marking me as the brainliest:)
Answer:
Mean: 85
Median: 82
Mode: 82
Range: 25
Step-by-step explanation:
The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:
82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684
684/8 = 85.5
So 85 is the mean.
The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:
75, 78, 80, 82, 82, 91, 96, 100
The two numbers in the middle are both 82. So, 82 is the median.
The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.
The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,
100 - 75 = 25
25 is the range.
WRITE AN EQUATION TO FIT THE FOLLOWING SITUATION. Oceanside Bike
Rental Shop charges 11 dollars plus 7 dollars an hour for renting a bike Sam
paid 67 dollars to rent a bike. How many hours did he pay to have the bike
checked out?
Answer:
8 hours
Step-by-step explanation:
Equation: y = 7x + 11
67 = 7x + 11
Subtract 11 from both sides;
56 = 7x
Divide both sides by 7;
x = 8
What will be the force of gravity in between two balls of mass 5 kg and 9 kg separated by 50m distance?
[tex] \Large{\boxed{\sf F = 1.2 \times 10^{-12} \: N}} [/tex]
[tex] \\ [/tex]
Explanation:The gravitational force in between two objects can be calculated using the following formula:
[tex] \boxed{\sf F = G \times \dfrac{m_1 \times m_2}{d^2}} [/tex]
Where:
F is the gravitational force in N.m₁ and m₂ are the masses of the objects in kg.G is the gravitational constant.d is the distance between the objects in m.[tex] \\ [/tex]
[tex] \Large{\sf Given \text{:} \begin{cases} \sf m_1 &=\sf 5 \: kg \\ \sf m_2 &=\sf 9 \: kg \\ \sf d &=\sf 50 \: m \\ \sf G &= \sf 6.67 \times 10^{-11} \: N.m^2.kg^{-2} \end{cases}} [/tex]
[tex] \\ [/tex]
Substitute these values into our formula:
[tex] \sf F = 6.67\times 10^{-11} \times \dfrac{5 \times 9}{50^2} = \boxed{\boxed{\sf 1.2 \times 10^{-12} N}} [/tex]
[tex] \\ \\ [/tex]
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Find the equation of a line that passes through the point (3,6)
with slope 2.
Answer:
y = 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 6) into the partial equation
6 = 6 + c ⇒ c = 6 - 6 = 0
y = 2x ← equation of line
The equation of line that passes through the point (3,6) with slope 2 is;
⇒ y = 2x
Given that;
The point is (3, 6)
The slope of line = 2
We have to find the equation of a line that passes through the point (3,6) with slope 2.
What is equation of line?
The equation of line that passes through the point (x₁, y₁) with slope m is;
y - y₁ = m (x - x₁)
The point is (3, 6)
The slope of line = 2
The equation of line that passes through the point (x₁, y₁) = (3,6)
with slope(m) = 2 is;
y - y₁ = m (x - x₁)
y - 6 = 2 (x - 3)
y - 6 = 2x - 6
Add 6 on both sides;
y = 2x
Hence, The equation of line that passes through the point (3,6) with slope(m) 2 is;
⇒ y = 2x
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4.Beyunka is creating a diagram to prove that a certain triangle is a right triangle.
In her diagram, she uses three white quadrilaterals that are squares. Which
diagram could be the one that Beyunka is creating?
Option 'D' is the correct option.
The correct diagram for Beyunka creating is given in option D.
What is Right triangle?
When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.
Given that;
Beyunka is creating a diagram to prove that certain triangle is a right triangle.
Since, The right triangle is satisfy the Pythagoras theorem.
Now, By option D;
Let sides of a triangle are,
Hypotenuse (H) = c
Perpendicular side (P) = a
Then, The base of the right triangle = √H² - P² = √c² - a²
And, All other diagrams are not satisfy the Pythagoras theorem.
Thus, The correct diagram for Beyunka creating is given in option D.
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There are
15
apples in a basket.
6
of these apples are green. The rest of them are red.
(a) What is the ratio of red apples to all apples in the basket?
(b) What is the ratio of green apple to red apples?
Answer:
(a) 9:15
(b) 6:9
Step-by-step explanation:
Total apples: 15
6 : green
9 are red
9:15
6:9
Answer:
(a) 3 : 5
(b) 2 : 3
Step-by-step explanation:
green apples = 6 total apples = 15 red apples = 15 - 6= 9 apples
(a) red apples : all apples= 9 : 15
for simplified form dividing numerator and denominator by 3
= 3 : 5
(b) green apples : red apples= 6 : 9
for simplified form dividing numerator and denominator by 3
= 2 : 3
You get a gift of $1,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different savings plans. Determine the final amount in the account for each plan in 5 years. Round your answers to two decimal places if needed.
Plan A: The bank gives you 4% interest rate and it is compounded every two months.
Plan B: The bank gives you a 10% interest rate and compounds the interest every 6 months.
Final Account balance for Plan A: $
Final Account balance for Plan B: $
Step-by-step explanation:
write what you know
P = 1,000
n = 5 years
Plan 1
i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%
write and solve
future value = p(1+i)^n = 1000(1+0.24)^5
plan 2
i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%
write and solve
future value = p(1+i)^n = 1000(1+0.20)^5
What is the value of x in the equation 58 = 10x − 2?
Answer:
6
Step-by-step explanation:
10x6=60-2=58
Answer:
x = 6
Step-by-step explanation:
[tex]58 = 10x - 2 \\58 + 2 = 10x \\60 = 10x \\6 = x[/tex]
I need help with number 15 and 18 it’s due today please help me!
Answer:
15. A. Communtative
18. A. (n . 60) + (n . 5)
Step-by-step explanation:
15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.
18. n.65 = (n.60) + (n.5)
Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si la capitalización es una vez al año Si la capitalización es una vez al mes
Answer:
(a) $ 1191
(b) $ 1966.8
Step-by-step explanation:
Principal, P= $ 10000
Rate of interest, r = 6 % per year
time, t = 3 years = 36 months
(a) Interest per year
The amount is given by
[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]
Interest is given by = $11910.2 - $10000 = $ 1910.6
(b) interest per month
The amount is given by
[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]
Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8
C=400-5x+0.125x^2 where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost ?
Answer:
x=20
Step-by-step explanation:
take the derivative and set to zero
c prime = -5 + .25x
0 = -5 + .25x
.25x = 5
x=20
hello, i need to solve for x on this one
Answer:
x = 12.1532°
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 4
Hypotenuse = 19
Step 2: Solve for x
Substitute in variables [sine]: sinx = 4/19Inverse trig: x = sin⁻¹(4/19)Evaluate: x = 12.1532°Find the slope of the graphed line below
Step-by-step explanation:
hope it helps you........
simplify each expression. State any excluded values, Show your work.
2x^2+6x/10x^3
help ༎ຶ‿༎ຶ
Answer:
[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]
Step-by-step explanation:
[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]
[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]
[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]
[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]
[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]
[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]
[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]
[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]
Sydney’s teacher says she may have her report card percentage based on either the mean or the median and she can drop one test score if she chooses.
94%, 84%, 100%, 68%
Which measure of center should Sydney choose so she can have the highest percentage possible?
HELP LOL
Just need the numbers
Answer:
Note*: I included the given ones.
Top row: 64^1 — 64^1/2 — 64^ 1/3 — 64^0 — 64^-1/2 — 64^-1
Bottom row: 64 — 32 — 4 — 0 — 1/8 — 0.015625
how many solutions does x^3 -5x^2 +16x-80 have
Answer: (x-5)(x^2+16)
Which type of function is shown in the table below?
x
f(x)
1
O
5
-3
3
-6
4.
-9
5
-12
Answer:
linear
don't forget to follow me
Can someone please help me out with the last one
ASAP I WILL GIVE OUT BRAINLY
Answers:
x = 7Area of shaded region = 162 square unitsYou may need to leave off the "square units" portion.
=============================================
Explanation:
For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.
L = 3x
W = x+5
The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.
P = 2(L+W)
2(L+W) = P
2(3x+x+5) = 66
2(4x+5) = 66
8x+10 = 66
8x = 66-10
8x = 56
x = 56/8
x = 7
-------------------
Now that we know x, we can find the area of the rectangles.
As you probably can guess, the shaded region is the difference of the two areas.
A = area of larger rectangle
A = (length)*(width)
A = (3x)*(x+5)
A = (3*7)*(7+5)
A = 252
B = area of smaller rectangle
B = (x+3)*(x+2)
B = (7+3)*(7+2)
B = 90
C = area of shaded region
C = A - B
C = 252 - 90
C = 162 square units is the area of the shaded region.
The sum of three consecutive even integers is 108. What is the largest number
Answer:
38
Step-by-step explanation:
Patrick made a scale drawing of a newly planted hotel the height of the scale drawing is 27 inches what would be the actual height, in meters, of the hotel if it was constructed.
pls hurry lol
Answer:
0.6858 meters
Step-by-step explanation:
Help plz question in picture
Answer:
B and D are correct
Step-by-step explanation:
Imagine if c, b, and k were equal to 5. Then, multiply to figure out how much Mia earned. Solve the rest of the equations while still using 5 in place of the variables. If they are the same as your first answer, it is right
Select the two figures that are similar to each other.
What is the slope of the table of values
Answer:
I think the answer for this is A.
Step-by-step explanation:
since 25$ is added to get the everyday cost.
Which number is closest to the square root of 48
?
5.9
7.3
6.9
6.3
Answer:
6.3 is closest to the square root of 48
I bet you!
Answer:
6.9
Step-by-step explanation:
[tex]\sqrt{48}[/tex] =6.92820323
So, the closest is 6.9
12(4x−5)+5/2=10 solve for x pls help!!!!
Answer:
Step-by-step explanation:
[tex]12(4x - 5) + \frac{5}{2}=10[/tex]
Multiply the whole equation by 2
[tex]2*12(4x -5) + \frac{5}{2}*2=10*2\\\\24(4x-5) + 2 = 20\\[/tex]
24*4x - 5*24 + 2 = 20
96x - 120 + 2 = 20
96x - 118 = 20
Add 118 to both sides
96x = 20 +118
96x = 138
Divide both sides by 96
x = 138/96 = 23/16
[tex]x = 1 \frac{7}{16}[/tex]
Which system is represented by the graph below?
х
Answer:
y = 2x - 5
y = -x + 1
Step-by-step explanation:
y = 2x - 5
y = -x + 1
the systems have one solution
=> (2, -1)
I WILL GIVE 100 POINTS
Answer:
Er you just multiply by 9.
Step-by-step explanation:
1*9 = 9
3*9=27
1*9=9
27*9=243
The answer:
x: 9
y: 81, 3
x*3
y/3
(2•6)^4 ????????????
Answer:
no idea
Step-by-step explanation:
Solve the equation x = $rrº for r.
O A. r= »3.2 (57)
O B. r =
3.0
5%
O C. r = 3x - 571
O D. r =
570
32
Answer:
32 $
Step-by-step explanation: