Answer:
Exact form would be 1/8
and the decimal form is 0.125
Answer:
2^-3=1/8=0.125
Step-by-step explanation:
We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number
We get 2^-3 = 1/(2^3)
and 2^3=8
so we get 2^-3= 1/8 =0.125
ok HARDEST MATH PROBLEM 2+2
Answer:
I dont know i think its 5
Step-by-step explanation:
Answer:
4 :)
Step-by-step explanation:
if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
The radius of a circle is 5 meters. What is the length of a 180° arc?
Answer:
10 meters
Step-by-step explanation:
180° arc makes semi circle then it's diameter equal to its arc .
Multiply: (3x+7)(5x^2-3x+6)
Answer:
15x^3+26x^2-3x+42
Step-by-step explanation:
(3x+7)(5x^2-3x+6)
15x^3-9x^2+18x+35x^2-21x+42
15x^3-9x^2+35x^2+18x-21x+42
15x^3+26x^2-3x+42
Answer:
15x³ + 26x² - 3x + 42
Step-by-step explanation:
Hi there!
We are given the polynomials 3x+7 and 5x²-3x+6
We want to multiply them together
(3x+7)(5x²-3x+6)
To that, we need to distribute each term of the binomials to each other, and then add them together.
What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.
So, let's first start by multiplying 3x by everything:
3x * 5x² = 15x³
3x * -3x = -9x²
3x * 6 = 18x
Add them together: 15x³ + -9x² + 18x
Now with 7:
7 * 5x² = 35x²
7 * -3x = -21x
7 * 6 = 42
Add them together: 35x² + -21x + 42
Now add 15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42
Combine like terms:
15x³ + 26x² - 3x + 42
Hope this helps!
Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and IV
Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Gross domestic producta. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
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3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?
Answer:
120 students did not buys a snack :)
Step-by-step explanation:
The easiest way to do this is divide :)
Now lets solve!!
180/6 = 30
Now we multiply!!
30 x 4 = 120
Have an amazing day!!
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giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table
Answer: 29.88
Step-by-step explanation: if 5 pounds = $12.45,
then 12 pounds = x
Therefore, Cross-multiply
5 x = 12 (12.45)
5x=149.4
x=149.4/5
x=29.88
Answer:
Step-by-step explanation:
Equation
Cost = k*weight
Givens
weight = 5 pounds
Cost = 12.45
12 pounds
Find k
Cost = k*weight
cost = 12.45
weigh = 5 pounds Substitute these values into the equation
12.45 = k * 5 Divide by 5
12.45 /5 = k*5/5
2.49 = k
Solve for 12 pounds
k = 2.49weight = 12 poundsCost = 2.49 * 12
Cost = 29.88
Answer
Cost = 29.88
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
What is the recursive rule?
Mr. Blue' salary is an illustration of a geometric sequence
The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000How to determine the explicit formula?Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
How to determine the recursive formula?The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
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Which equation represents a line which is perpendicular to the line y = – 4/5+ 2
5x + 4y = 28
4x - 5y =-25
4y – 5x = -12
4x + 5y = -30
Choose which statements are true:
I. Every parallelogram is a rhombus.
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Answer:
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Step-by-step explanation:
Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.
The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.
The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.
express secA in terms of tanA
Answer:
[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Step-by-step explanation:
[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)
Answer:
10,560
Step-by-step explanation:
8 x 1/4 --> 8/1 x 1/4
= 8/4 or 2
5,280 x 2 = 10,560
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made
What is the equation of the line?
O y = 3x
O Y= 1/3x
O y=1/3x+2
O y = 3x+2
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Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.
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Which fraction is equal to 0.3?
Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0
Answer:
x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 2 x - 6 = 0
Using the quadratic formula, solve for x.
x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:
x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6
Simplify radicals.
sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):
x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).
Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):
x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:
x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).
Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):
x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))
In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:
Answer: x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).
Equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 36x+9
Thirty six times of x plus nine.
In the expression x is the variable and plus is the operator.
Equivalent expressions are expressions that work the same even though they look different.
The equivalent expression of 36x+9 are 9(4x+1)
and 9.4x +(9.1) we get this factoring the expression.
Now the other expression is 36x-9
Thirty six times of x minus nine.
Minus is the operator in the expression.
The equivalent expressions are 9(4x-1) and 9.4x-(9.1)
Hence, equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)
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8ntergrate by parts |x^3 e^-x dx
I assume the integral is
[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
so that
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
i.e.
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]
Integrate by parts again, this time with
[tex]u = x^2 \implies du = 2x \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
and so
[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]
Once more, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]
Finally,
[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]
and so
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]
or equivalently,
[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]
We can also approach the integral more generally by considering
[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
Then
[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]
We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".
brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original
I WILL GIVE U 100 POINTS
Answer:
80 years
Step-by-step explanation:
(.025)*n = 2 solve for n
Question 8(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, 4), B (-1, 1), and C (-5, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
O(x + 1)2 + (y - 4)2 = 9
(x + 5)2 + y - 1)2 = 25
(x + 5)2 + (y - 1)2 = 16
(x + 1)2 + (y - 4)2 = 25
Answer:
(d) (x + 1)^2 + (y - 4)^2 = 25
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
Circle A has its center at point A, so the left side of this equation will look like ...
(x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)
where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):
(-5 +1)² +(1 -4)² = r²
16 +9 = r² = 25
Then the equation of the circle is ...
(x +1)² +(y -4)² = 25
|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school
Answer:
143/28 or -185/28
Step-by-step explanation:
Negative case
-(x+3/4))=(41/7)
-x-(3/4)=(41/7)
-x=(185/28)
x=-(185/28)
Positive case
(x+(3/4))=(41/7)
x=(143/28)
lol this was easy r u sure its 6 grade?
Answer:
143/28 or -185/28
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
AB = 13 meters
Step-by-step explanation:
AB is congruent to AC and AC is 13 meters so that's what AB would be
4. A pet store has 11 lizards, with these lengths in inches:
5 1/2, 5 3/4, 5 3/4, 5 7/8, 5 7/8, 6, 6 1/8, 6 1/8, 6 1/8, 6 1/4, 6 3/8
Draw a line plot for this data
Answer/Step-by-step explanation:
Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.
Given the following data:
5 1/2
5 3/4
5 3/4
5 7/8
5 7/8
6
6 1/8
6 1/8
6 1/8
6 1/4
6 3/8
We can see that we have:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8 {1}
Now put the following from least to greatest:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8{1}
We can see that they already in order thus, let put it on a line plot from least to greatest.
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M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)
The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)
How to rewrite the expression?
First, we need to find the greatest common factor between 48 and 66.
To find it, we can write both of these as a product of its prime factors, we get:
48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3
66 = 2*33 = 2*3*11
The greatest common factor that we can make is 2*3 = 6
Then we rewrite the numbers as:
48 = 6*8
66 = 6*11
Now we can rewrite our expression:
48 + 66 = 6*(8 + 11)
So the correct option is C
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