Answer:
56
Step-by-step explanation:
Arithmetic mean is simply the sum of the all the number present divide by the total number.
From the question, we obtained the following information:
The arithmetic mean = 5.6
Total number present = 10
Sum of the numbers =?
Arithmetic mean = sum of the numbers / total number
Sum of the numbers = arithmetic mean x total number
Sum of the numbers = 5.6 x 10 = 56
The sum of the other four numbers is equivalent to -200.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the arithmetic mean of ten numbers is -10. The sum of six of the numbers is 100.
We can write -
{a + b + c + d + e + f + g + h + i + j}/10= - 10
{a + b + c + d + e + f + g + h + i + j} = - 10 x 10
{a + b + c + d + e + f + g + h + i + j} = - 100 .... Eq{1}
and
{a + b + c + d + e + f} = 100 .... Eq{2}
We can write Eq{1} as -
{a + b + c + d + e + f} + {g + h + i + j} = - 100
100 + {g + h + i + j} = - 100
{g + h + i + j} = - 100 - 100
{g + h + i + j} = - 200
Therefore, the sum of the other four numbers is equivalent to -200.
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What is the quotient of 2 -
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لم اقم
1
3
Please help for 10 and 11.
Answer:
10:A 11:D
Step-by-step explanation:
10)
g([tex](\sqrt{x+1}^2+3)/(\sqrt{x+1} )[/tex]
rewrite [tex]\sqrt{x+1}^2[/tex] as x +1
g [tex](\sqrt{x+1}^2)[/tex] = [tex]\frac{x+1+3}{\sqrt{x+1} }[/tex]
add 1+3
g[tex](\sqrt{x+1}^2)[/tex]=[tex]\frac{x+4}{\sqrt{x+1} }[/tex]
combine and symplify
[tex]g{\sqrt{x+1} } *\frac{{x+4 (\sqrt{x+1}) } }{{x+1} }[/tex]
reorder factors of the second side
[tex]g{\sqrt{x+1} } *\frac{{\sqrt{x+1} (x+4) } }{{x+1} }[/tex]
take out the root x+1
and you are left with A
11.
f(g(x))
substitue g into f
f([tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
rewrite sqrroot x+3 as x+3
[tex]f{\sqrt{x+3} } =\(x+3 +9}[/tex]
Now add 3+9
[tex]f{\sqrt{x+3} } =\(x+12}[/tex]
we get x+12
Now for domain
[tex]f{\sqrt{x+3} } =\((\sqrt{x+3})^2 +9}[/tex]
set the radicand root sqr x+3 >= 0 to find the expression defined
[tex]x+3\geq 0[/tex]
subtract 3 from both sides
[tex]x\geq 3[/tex]
turn it into interval notation
[-3,+∞)
hannah and mallory are selling boxes of cookies for a school fundraiser. each box costs the same amount. hannah sells 14 boxes. mallory sells 22 boxes. mallory's neighbor makes a $6 donation without buying any cookies. together, hannah and mallory raise $141. write ans solve an equation to find out how much each box of cookies costs. how much does hannah raise? how much does mallory raise?
The cost per box of cookies is $3.75
The total amount Hannah raised from the sales of cookies is $52.50
The total amount Mallory raised from the sales of cookies and donations is $88.50
In order to determine the cost per box of cookies, take the following steps:
The first step is to determine the total sum of the boxes sold by Hannah and Mallory
Sum of the boxes sold = 14 + 22 = 36 boxes
36 boxes were sold by Hannah and Mallory
The second step is to determine the total cost of the 36 boxes sold.
Total cost of 36 boxes = total amount raised - donation
$141 - $6 = $135
The third step is to determine the total cost of each box
cost of one box = total cost of 36 boxes / total number of boxes
135 / 36 = $3.75
The total amount Hannah raised = cost per box x number of boxes she sold
14 x $3.75 = $52.50
The total amount Mallory raised = amount raised from the sale of cookies + donation
amount raised from sales = cost per box x number of boxes she sold
22 x $3.75 = $82.50
Total amount = $82.50 + $6 = $88.50
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The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 37.5 seconds with an average speed of 4 feet per second. Find the average speed of the swimmer if it takes 25 seconds to finish the race.
Answer:
5 average speed
Step-by-step explanation:
Answer:
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Step-by-step explanation:
ddds
5/3=x/6 can you find out what x is pls
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
5/3 = x/6
= 5×6/3 = x
= 30/3 = x
= 10 = x
= x = 10
Hope it helps!
Brainliest pls!
Follow me! ♧
Answer:
x=10
Step-by-step explanation:
3*2=6 and using giant one its 5*2 which is 10
10/6
Write a quadratic equation that has 2 and 8 as solutions.
Find the equation with 1 as the coefficient of the quadratic term.
Answer:
[tex]x^2-10x+16[/tex]
Step-by-step explanation:
The way I would find the equation is by finding the factored form of the equation form. That equation would be (x-2)(x-8). These are correct because if you set both of these equal to zero, your x-values will be equal to 2 and 8.
x-2=0
x=2
x-8=0
x=8
If you want the standard form of the equation, all you have to do is multiply it out.
[tex](x-2)(x-8)\\x(x-8)-2(x-8)\\x^2-8x-2x+16\\x^2-10x+16[/tex]
Boom. There's your answer!
PLEASE HELP I GIVE LOTS OF POINTS
Determine the range of the function graphed above.
A. [-4, 0]
B. (0,4)
C. [4, )
D. (-0, 4]
9514 1404 393
Answer:
D. (-∞, 4]
Step-by-step explanation:
The range is the vertical extent of the graph. The graph extends off the bottom, so the lower end of the range is -∞. The peak values are y=4, so the upper end of the range is 4.
Expressed in interval notation, the range is ...
(-∞, 4]
_____
Additional comment
The right-side bracket is square because the value 4 is included in the range. The left side bracket is rounded because there's no specific number equal to -∞. We can only say the lowest value of y is greater than -∞.
Answer: (-∞, 4]
Step-by-step explanation: Top of function stops at 4, and is negatively continuous.
PLEASE EXPLAIN AND PLEASE HELP ME AND EXPLAIN I NEED HELP
its right because
6 x 5 is the area of the leftmost rectangle
4 x 5 is the area of the bottom rectangle
3 x 5 is the area of the rightmost rectangle
5 x 5 is the area of the slanted square on the top
the last term is the area of the trapezoid, which is (base1 + base2) x height /2
they split the trapezoid thing into a square and a triangle, which gets you the same answer
they multiplied it by 2 because there are 2 trapezoids
Pls somone tell
Me the answer plzzzz
Answer:
POSITIVE
Step-by-step explanation:
Because the product of 2 negative numbers is a positive number
Find the value of the equation.
12+−9
18
-18
3
-3
Answer:
.
Step-by-step explanation:
what is the answer to
5x=40
Answer:
X has to be 8, so 5x8=40
Step-by-step explanation:
5339 x 6 and explain
32,034
Step-by-step explanation:
5,339
6 ×
32,034
9 × 6 = 54 write 4, remainder 53 × 6 = 18 plus 5 = 23 write 3, remainder 23 × 6 = 18 plus 2 = 20 write 0, remainder 25 × 6 = 30 plus 2 = 32Are the two lines parallel, perpendicular,
or neither?
y = 3x -4 and 3x +9y = 18
Prerequisites :-
1) The product of slope of two perpendicular lines is-1 .
2) The slope of two parallel lines is same .
Given two lines to us are ,
[tex] y = 3x - 4 [/tex]This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,
[tex] m_1 = 3 [/tex]Again , the second line given to us is ,
[tex] 3x + 9y = 18 [/tex]Convert it into slope intercept form , we have ,
[tex]\implies 3( x + 3y ) = 18 [/tex]
Divide both sides by 3 ,
[tex]\implies x + 3y = 6 [/tex]
Solve for y ,
[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]
On comparing to the slope intercept form ,
[tex] m_2 = \dfrac{-1}{3}[/tex]And the product both the slopes is ,
[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]
Hence the given two lines are perpendicular .
I really need help getting these answers please
Answer:
[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]
i will give brainliest to the right answers
please help
Answer:
first answer = 2
second answer = 12
third answer = - 12
fourth answer = 2
A recipe calls for 9 1/2 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 38 cups of flour?
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
can someone plz help me with this
Answer:
option D .....11
Option c 36
On five days of every week Jackie runs 2 1/2 miles in the morning how many total miles is Jackie run every week
Answer:
so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.
If 2.5 kg of potatoes cost $8.25 how much will u pay for 7 kg
Answer:
$23.10
Step-by-step explanation:
To get how much money you will have to pay for 7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.
8.25 (y) divided by 2.5 (x) = $3.30
You will pay $3.30 for 1 kg
So $3.30 x 7 = 23.10
You will pay $23.10 for 7 kg of potatoes.
** I hope this helps
In ΔJKL, j= 2.5 cm, k = 9.3 cm and l =8.4 cm. Find the area of ΔJKL to the nearest square centimeter
Answer:10
Step-by-step explanation:
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
Question 9: Sorry its blurry. Plz help ASAP
Answer:
a and c
Step-by-step explanation:
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answer:
x=19/10
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
hello there looking for help here thanks. giving brainliest if able to
Answer:
angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles
Answer:
1. False Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.
2. False interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.
3. True (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.
4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)
Step-by-step explanation:
Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal
Need help on this question
Answer:
measure of angel VUT is 65°
Step-by-step explanation:
Angel UTP is 115° and to find UTV you subtract 115 from 180 to get 65°. And to find VUT you subtract 65 and 50 from 180 to get 65°
If p<0,q>0 and q=r what statement about is r true
Answer:
hell no
Step-by-step explanation:
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Who can answer this?
Answer:
because of parallel lines it's 63
Find the axis of symmetry for this parabola:
y = -3x2 + 6x + 1
Write your answer as an equation.
The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :
x = 1help me make a apple account and put the user and password please
