Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Read more about inequalities at:
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A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?
A 5,125
B 5,000
C 1,362
D 1,131
E 1,064
Answer:
A = P (1 + i)^n where the principal P equals amount A after n periods
P = 1000 and i = .025 / yr
A1 = A (1.025) = 1025
A2 = A1 (1.025) = A (1.025)^2 etc
A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years
2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings.
Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
Can a polyhedron have 10 faces, 14 vertices and 20 edges
Answer:
nope
Step-by-step explanation:
Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.
12 = 11 1/12 + ___
(More help please this is confusing)
Answer:
11/12Step-by-step explanation:
12 = 11 1/12 + ____
=> 12 - 11 1/12 = ____
=> (144 - 133) / 12 = ____
=> 11/12 = _____
Hence,
11/12 is the answer
How would you solve for f(-x) ?
f(x) = x^2 +3x + 9
9514 1404 393
Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
Which of the following fractions is in lowest form
fraction is in lowest term is no(b)
Solve the equation.
ta (a + 8) = fr3-a
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
What is Matilda's number?
Answer:
11
Step-by-step explanation:
The answer will be 11
as she is thinking of prime number so
111 is not a prime number
aswell as 77 is not a prime number
11 is a prime number and is also a multiple of 11
Answer:
11
Step-by-step explanation:
Find the area of a circle with a diameter of 10 feet using pi=3.14
Answer:
78.5 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
r = d/2 where d is the diameter
r = 10/2 = 5
A = 3.14 ( 5)^2
A = 78.5 ft^2
If f(x) = x and g(x) = 2, what is (fºg)(x)?
Step-by-step explanation:
(fog)(x) = f[g(x)]
f(g(x))
f(x-2)
since f(x) = 1 / x
answer: 1/x-2
1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined
what is into relation with suitable example
Answer:
the relation between the x-values and y-values of ordered pairs
for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45
The percentage of 45 out of 120 is 38% thus 38% calories from fat.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Total calories = 120
Calories from fat = 45
Fraction of calories from fat = 45/120 = 0.38
Percentage of calories from fat out of total calories ⇒
(45/120) × 100 = 38%
Hence "The percentage of 45 out of 120 is 38% thus 38% calories from fat".
For more about the percentage,
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#SPJ5
pls say hard
very hard
Answer:
3
Step-by-step explanation:
F(x)=-2x^2-3
find f(2)
Step-by-step explanation:
f(x)=-2x²-3
By replacing x with 2, we get
f(2)=-2×2²-3
=-2×4-3
=-8-3
=-11
help me now where are you all helppppp
Q7
7/25
(Decimal: 0.28)
Step-by-step explanation:
Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:
= 7/25
= 7 ÷ 25
= 0.28
Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.
just solve by yourself
|1|, |-4|, |-3|, |2|
Answer:
|1| = 1
|-4| = 4
|-3| = 3
|2| = 2
Step-by-step explanation:
The absolute value function is defined by
[tex]|x|=\begin{cases}x,&x\ge0\\-x,&x<0\end{cases}[/tex]
Since 1>0, we have |1| = 1.
Since -4<0, we have |-4| = -(-4) = 4.
Since -3<0, we have |-3| = -(-3) = 3.
Since 2>0, we have |2| = 2.
What is the value of f(0)? -2 -1 0 1most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)? -2 -1 0 1
Answer:
[tex]f(0)=-2[/tex]
Explanation:
When looking at the value of [tex]f[/tex] at a particular input, the value is defined by the height of a solid dot, given a solid dot is present, and the value is not defined by hollow dots.
When looking at the input 0, there is a hollow dot at a height of -1 and a solid dot at a height of -2. Therefore [tex]f(0)=-2[/tex]
Answer:
2
Step-by-step explanation:
Find NL. Not sure to to solve this.
Answer:
NL= 2 × HI
x+24 =2 × (X+16)
x+24=2x + 32
2x-x= 24-32
x= – 8
NL=x+24 = –8 +24= 16
So ; NL= 16
I hope I helped you^_^
To simplify divide each polynomial by a number (you may need to factor the numerator and or denominator to find the common term)
1. 48x + 32y/32
2. 9a-15b/12
3. 6b+24c/18
4. 25a+5b+15c/10
show each step and break down
Answer:
The polynomial is simplified to [tex]\frac{3x+2y}{2}[/tex],[tex]\frac{3a-5b}{4}[/tex],[tex]\frac{b+4 c}{3}[/tex],[tex]\frac{5a+b+3c}{2}[/tex]
Step-by-step explanation:
Step 1 of 4
[tex]\frac{48x+32y}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{32}[/tex]
[tex]=\frac{16\left(3x+2y\right)}{16\cdot \:2}[/tex]
[tex]=\frac{3x+2y}{2}[/tex]
Step 2 of 4
[tex]\frac{9a-15b}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{12}[/tex]
[tex]=\frac{3\left(3a-5b\right)}{3\cdot \:4}[/tex]
[tex]=\frac{3a-5b}{4}[/tex]
Step 3 of 4
[tex]\frac{6b+24c}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{18}[/tex]
[tex]=\frac{6\left(b+4c\right)}{6\cdot \:3}[/tex]
[tex]=\frac{b+4c}{3}[/tex]
Step 4 of 4
[tex]\frac{25a+5b+15c}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{10}[/tex]
[tex]=\frac{5\left(5a+b+3c\right)}{5\cdot \:2}[/tex]
[tex]=\frac{5a+b+3c}{2}[/tex]
Learn more about polynomial, refer :
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605x25 to show the work please
Answer:
it would be 3025
Step-by-step explanation:
605
x. 5
3025
Answer:
15125
Step-by-step explanation:
605
x25
------
3025
+1210
-----------
15125
A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price
Answer:
7200
Step-by-step explanation:
Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.
6% of 120000=7200
Find the 10th term in the sequence.
1/2, -1, 2, -4
1. 512
2. 125
3. -256
Answer:
tenth term is -256
Step-by-step explanation:
It is geometric progression:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
r » common ratio, r = 2 ÷ (-1) = -2
a » first term, a = ½
n » number of terms, n is 10
[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]
Step-by-step explanation:
everything can be found in the picture
I need help please please help me )):
Answer:
ok bro I will help you don't worry
After subtracting 20% of a number from a number we get 12975.what was the number?
Answer:
Step-by-step explanation:
d
-y- 3 (-3y+5) helpppppppp
Answer:
D = 8y-15
Step-by-step explanation:
-y-9y-15 than combine -y and -9y
so = 8y-15
Is 91.8 a rational or a non-rational number
Answer:
Yes. It is a rational number.
Which graph represents this equation?
y =
-*12 + 2x - 2
Answer:
I may be wrong but I'm pretty sure that it is -12
Step-by-step explanation:
2×-2=0 -12+0=-12
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed after the 0 in 45780.
Step-by-step explanation:
Solve: –36 x 72 + 64 x (–72)
And mention the property
Closure/Commentative/Associative
Explain your answer and gain 20 points.
Step-by-step explanation:
[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]
first carry out the multiplication operation:
[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]
then addition operation:
[tex] = - 7200[/tex]
Answer:
[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]