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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7.486 to 7.5 Place value
Answer:
The tenths place
4 is in the tenths place of 7.486
Step-by-step explanation:
The cost of bananas varies directly with their weight. Miguel bought
3 1/2 pounds of bananas for $1.12. Write an equation that relates the cost of the bananas
to their weight. Then find the cost of 4 1/4 pounds of bananas
y= k x
c= k p
1.12 = k(3.5)
0.32 = k
y = 0.32x or c = 0.32p
y = 0.32x
y = 0.32(4.25)
y = $1.36
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negative 2, negative 4 and 2, 4. Graph of line C going through ordered pairs negative 2, negative 5 and 3, 5. Graph of line D going through ordered pairs 0, negative 4 and 4, 4 Which line is represented by the function f(x) = 2x + 1? (1 point) Group of answer choices Line A Line B Line C Line D
Answer:
Line A is represented by the function f(x) = 2x + 1.
Step-by-step explanation:
The marksobtained by a group of students in science test are
90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range
the function G(x)=1+2sin(x+pi) is the result of the application of transformations in the original function F(x)=sin(x). which of the following options correctly describes the transformations applied to F(x)
Answer:
D. a vertical shift of 2 and a phase shift of pie/ 2
Step-by-step explanation:
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
Answer This Please With explanation If You do I Will Mark Brainliest
Answer:
8)61.5 9)42.1
Step-by-step explanation:
8)61.5
area of square 10×10=100
circle=pie r^2
3.5^2×pie
=38.5
100-38.5=61.5
9)14×14=196
14/2=7
7=radius
pie×7^2
=153.9/2(because circle is half)
=76.95
76.95×2
=153.9
=196-153.9
42.1
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................................................................................................
................................................
?????????????????????
Answer:
UMMMMMMMM>....<
Step-by-step explanation:
Question 3
1 pts
Find the unit rate. Round to the nearest hundredth, if necessary.
$32.05 for 15 gal
Question 4
1 pts
Answer:
$2.14 per gal.
Step-by-step explanation:
32.05/15 = 2.137 per gal
How many 1/3 cup serving are there in 10/3 cups of dried beans
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.
i.e
= 10/3 ÷ 1/3
= 10/3 x 3/1
= 10/3 x 3
= 3
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have
Number of dried beans = 10/3 cups
The number of 1/3 cup servings can be found by dividing the total number of cups of dried beans by 1/3.
The number of 1/3 cup servings:
= Number of dried beans cups ÷ 1/3
= 10/3 ÷ 1/3
= 10/3 x 3/1
= 10 cups servings
Thus,
The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.
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28. Suppose that the CPI in Year 1 is 150 and the CPI in Year 2 is 200. The rate of
inflation between Year 1 and Year 2 is:
a) 14.28%.
I b) 25%
c) 33.33%
d) 50%
The rate of inflation between year 1 and year 2, based on the CPI, is c. 33.33%.
The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:
= (CPI₂ - CPI₁) / CPI₁ x 100%
Solving gives us:
= (200 - 150) / 150 x 100%
= 33.3%
In conclusion, the inflation is 33.3%.
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Solve for r −11r+8=10r−13
Answer:
r=1
Step-by-step explanation:
[tex]-11r+8-8=10r-13-8\\\\-11r=10r-21\\-11r-10r=10r-21-10r\\-21r=-21\\\frac{-21r}{-21}=\frac{-21}{-21}\\r=1[/tex]
What is -4.5 as a mixed number
answer: -4 1/2
explanation:
what is the domain and range of (2)/(x^2-2x-3)?
Domain: All real numbers or (-infinity, infinity)
Range: [-8, infinity)
solve 1,828 divided by 56 using long division
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The quotient will be :
[tex]32[/tex]Remainder :
[tex]36[/tex]Solution is in attachment ~
Answer:
[tex]1828 \div 56 \\ = 32[/tex]
[tex]remainder = 36[/tex]
Please refer the attachment for step by step explanation
Hope this helps you.
Let me know if you have any other questions :-):-)
Find the volume of the prism.
18/3=????????????????????
Answer:
18/3=6
Step-by-step explanation:
3 can be made out of 18 6 times
17. What is .25 written in its simplest fraction form? A. 100/25 B.215 C. 14 D.444
Answer:
[tex]25 = \frac{25}{100} [/tex]
so answer is
[tex]a) \: \: \frac{25}{100} [/tex]
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds
Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
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There are 6 triangles and 8 squares. What is the simplest ratio of triangles to total shapes?
Answer:
3:7
Step-by-step explanation:
The number of triangles is 6.
The number of squares is 8.
The total number of shapes is 14.
The unsimplified ratio of triangles to total shapes is 6:14.
The bigger number that both 6 and 14 can be divided by is 3.
That makes the ratio 3:7, and it cannot be simplified further.
PLEASE HELP ME!! NO LINKS!!!! Part A
Answer:
1. y = 3x - 1
2. y = -3x
3. y = 2x + 4
4. y = 2.5x - 4
5. y = 4x
6. y = -3/4x -0.25
7. uhhh two lines since one definitlye doesn’t work
Step-by-step explanation: I couldn’t add more than 5 pics it’s the limit sadly.
A passenger train leaves the train station 5 hours after a freight train left the same station. The freight train is traveling 30 mph slower than the passenger train. Which equation helps to find the rate of each train, if the passenger train overtakes the freight train in three hours.
3r = 5(r - 30)
3r = 8(r - 30)
3r = 8(r + 30)
5r = 3(r - 30)
Answer:
first one
Step-by-step explanation: doesnt mention the number 8 variable anywhere
Answer:
A. 3r=5(r-30)
Step-by-step explanation:
on edge :)
Simplify the expression.
کے قر 125x
poter che correct answer.
Answer:
yz√5xy
Step-by-step explanation:
hope this helps
1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.
19+80=180
99=180
180_99
81
3. Find the difference. (1 point)
22.8 – 7.9 = ?
O 15.1
0 14.9
O 14.1
15.9
A line is drawn so that it passes through the points (-5,0) and (12,7). What is the slope of the line?
Answer:
7/17
Step-by-step explanation:
Solve the following for x:
4x + y = z
a.x = z - y - 4
b.x = z/4
c.x = z-y/4
d.x = z+y/4
Explain
Answer:
[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]
Step-by-step explanation:
4x + y = z
4x = z - y
x = 1/4z - 1/4y
Can someone help me please
Answer:
Step-by-step explanation: NO SE INGLES
Write an equation (any form) for the quadratic graphed below:
Answer:
Quadratic equation in vertex form: y = 2(x + 3)²+ 0
Step-by-step explanation:
The vertex form of a quadratic equation is:
y = a (x - h)² + k where:
The value of a determines that the graph opens up or down. If a is positive, the graph opens up. The value of a also makes the parent function wider or narrower.
The vertex of the given parabola occurs at point (h, k) where the parabola intersects the axis of symmetry, x = h. It is also determines whether it is either the maximum or minimum point on the graph.
The quadratic equation of the graph in vertex form is: y = 2(x + 3)²+ 0
where:
a = 2
vertex (minimum point) = (-3, 0)
axis of symmetry: x = -3
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