Answer:
[tex]48\sqrt{x}a^{8}[/tex]
Step-by-step explanation:
[tex]\sqrt{x}48a^{8}[/tex]
rewrite using communitive property of multiplication:
[tex]48\sqrt{x}a^{8}[/tex]
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]
Step-by-step explanation:
[tex]\sqrt{x48a^8}[/tex]
There are no variables we will just rewrite this as:
[tex]\sqrt[48]{xa^8}[/tex]
Hope this helps!
PLEASE HELP ASSAAPPP!!!!!!!!A river discharges 4 × 106 cubic feet of water into the Pacific Ocean each second. There are 86,400 seconds in one day. To find the amount of water discharged each day, a scientist multiplied 4 × 106 by 86,400 on his calculator. The display showed: Explain what 3.456E + 14 means. A. 3.456^14 B. 3.456 × 10^6 C. 3.456 × 10^14 D. 3.456 × 10^ -14
Answer:
C
Step-by-step explanation:
The river discharges 4 x 10^6 cubic feet of water into the Pacific Ocean each second.
There are 86,400 seconds in one day.
Amount of water discharges each day-
=4x10^6x86400
=345600000000
=3.456 x 10 ^11
Answer: C
Step-by-step explanation:
1) First multiply 4 * 10^6 = 4,000,000
Then multiply 4,000,000 by 86,400 = 3.456 * 10^11
PLEASE HELP! ON TIMER! 1.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. f(g(x)) 2.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. g(f(x)) 3. what would be the domain restriction? describe how you found the answer. 1 over x-3
Answer:
I can only answer the first one for now but the answer is x^2 - 6x + 9.
Step-by-step explanation:
f(x) = x^2 and g(x) = x - 3.
To find f(g(x)) we replace the x in f(x) by g(x).
f(g(x)) = (x - 3)^2
= x^2 - 6x + 9.
Plot the points (2,0) and (2,-5) on the coordinate plane below.
What is the distance between these two points?
Answer:
5 units
Step-by-step explanation:
Notice that the x-coordinate is the same for both points, but that the y-coordinates differ by five units. The distance between these two points is therefore 5 units.
HURRY PLEASE if ray NP bisects angle MNQ and measure of angle MNQ= 8x + 12 and measure of PNQ= 78 degrees and measure of angle RNM= 3y -9, find the values of x and y
Answer:
the measure of x is 18° and the measure of y is 29°
Step-by-step explanation:
Step 1
Find the measure of angle x
we know that
If ray NP bisects <MNQ
then
m<MNQ=m<PNM+m<PNQ ------> equation A
and
m<PNM=m<PNQ -------> equation B
we have that
m<MNQ=(8x+12)°
m<PNQ=78°
so
substitute in equation A
(8x+12)=78+78-------> 8x+12=156------> 8x=156-12
8x=144------> x=18°
Step 2
Find the measure of angle y
we have
m<PNM=(3y-9)°
m<PNM=78°
so
3y-9=78------> 3y=87------> y=29°
therefore
the answer is
the measure of x is 18° and the measure of y is 29°
Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any outliers, and are they likely to have much of an effect on the measures of variation?
38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450, 1750, 3000
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450, 1750, 3000
The range :
(maximum - minimum) = (3000 - 38) = 2962
Variance :
Σ(x - mean)² / (n-1)
Where n = number of observations
Mean = (38+50+50+55+55+95+95+130+180+213+250+350+450+1750+3000) = 6761 / 15 = $450.73
Σ(x - mean)² = 9527804.9333334
N - 1 = 15 - 1 = 14
Hence,
Variance = Σ(x - mean)² / (n-1)
Variance = 9527804.9333334 / 14
Variance = $680557.50
Standard deviation = √variance
Standard deviation = √680557.50
Standard deviation = $824.96
CHECK IF OUTLIERS EXIST:
Using the outlier formula:
Lower outlier = Q1 - (1.5 × IQR)
Upper outlier = Q3 + (1.5 × IQR)
Q1 = 55 ; Q3 = 350 ; IQR = 295
Lower outlier = 55 - (1.5 × 295) = - 387.5
Upper outlier = 350 + (1.5 × 295) = 792.5
Remove values below the lower outlier value and values above the upper outlier value.
Hence outliers in the data are : 1750 and 3000
To save computation time :
We can recalculate our statistical measure by leaving out the outliers using online, excel or calculator functions :
Data without outlier :
38, 50, 50, 55, 55, 95, 95, 130, 180, 213, 250, 350, 450
Range = (450 - 38) = 412
Variance = Σ(x - mean)² / (n-1)
Variance = 201626.77 / 12
Variance = $16,802.23
Standard deviation:
√variance
√16,802.23
= $129.62341
According to the results obtained the presence of outliers has a great effect on the outcome the result.
the sum of a number x and 4 is less than 12 which of the following inequalities represents this statment
Answer:
x + 4 < 12
Step-by-step explanation:
Given
sum of a number x and 4
It can be written mathematically as
x + 4
Then
x + 4 is less than 12
less than is represented as <
Thus,
x + 4 < 12
Thus, inequality is x + 4 < 12
what is the definition of algebraic expression
Answer:
An algebraic expression (in mathematics) can be defined as an expression which is made up of variables and constants along with algebraic operations( i.e. addition, subtraction etc)
Answer:
It is an expression built up from integer constants and algebric expressions.
Luther drives 17 miles to work each day . After work he takes a short cut home which is 14 miles . How many miles does he drive to and from work each week (5 days)
Step-by-step explanation:
17 miles = 1 day to work
14 miles =1 day to home
Therefore total miles driven in 5 days =
( 17×5) +(14×5) = 105+60
ANSWER =165 miles per week
Answer:
155 miles each week
Step-by-step explanation:
One day is 17 miles to and 14 miles home = 17+14 = 31
He does this 5 days a week
5 * 31 = 155 miles
-3p+6=-12
How to solve
Answer:
p = 6
Step-by-step explanation:
-3p+6=-12
Subtract 6 from each side
-3p+6-6=-12-6
-3p = -18
Divide each side by -3
-3p/-3 = -18/-3
p = 6
In a parallelogram ABCD, AB is parallel to CD. Which two sides are opposite sides ? sides AB and CD sides BC and CD sides AB and AD sides AB and BC
Answer:
AB and CD
Step-by-step explanation:
Given
Shape: Parallelogram
Parallel Side: AB and CD
Required
Determine the opposite sides
From the given parameters, we understand that:
AB is parallel to CD
Since they are parallel, then AB is opposite to CD
Hence, the opposite sides are AB and CD
An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Step-by-step explanation:
It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?
1 yard = 3 foot
1 feet = (1/3) yard
320 feet = 106.66 yard
[tex]320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3[/tex]
So, it will circulate 11.85 cubic yard of air per minute.
Find the distance between the points.
(1, 5), (-7, -2)
Answer:
Distance = [tex]\sqrt{113}[/tex]
Step-by-step explanation:
[tex](1, 5) = (x_1,y_1)\\ (-7, -2)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(-7-1)^2+(-2-5)^2}\\ \\d = \sqrt{(-8)^2+(-7)^2}\\ \\d = \sqrt{64+49}\\ \\d = \sqrt{113} \\\\[/tex]
Answer:[tex]\sqrt{113}[/tex]
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
x1=1 x2=-7 y1=5 y2=-2
----------------------------------------------------------------
[tex]\sqrt{(-7-1)^2+(-2-5)^2}[/tex]
=[tex]\sqrt{(-8)^2+(-7)^2}[/tex]
=[tex]\sqrt{64+49}[/tex]
=[tex]\sqrt{113}[/tex]
Hope this helps!! :)
Please let me know if you have any question or need further explanation
The equation for a parabola has the form y=ax2+bx+c, where a, b, and c are constants and a≠0. Find an equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12).
Answer:
The equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].
Step-by-step explanation:
Let be (−1,8), (2,−4), and (−6,−12) points contained in a parabola, which is represented by a second-order polynomial. To determine the constant of the second-order polynomial, the following system of equations must be solved:
[tex]a - b+c = 8[/tex]
[tex]4\cdot a +2\cdot b +c = -4[/tex]
[tex]36\cdot a -6\cdot b +c = -12[/tex]
There are several methods for solving this: Equalization, Elimination, Substitution, Determinant and Matrix. The solution of this system is: [tex]a = -1[/tex], [tex]b = -3[/tex] and [tex]c = 6[/tex]. Hence, the equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].
Rename 2/5 and 1/2 using the least common denominator
the common denominator is 10 (between 5 and 2)
for each numerator:
we divide the common denominator with the denominator of each fraction and then multiply with the numerator of the fraction
first fraction's numerator:
10 (c.d.) : 5 (denominator) = 2
2 * 2 (numerator) = 4
second one:
10 (c.d.) : 2 (denominator) = 5
5 * 1 (numerator) = 5
The fractions are 4/10 and 5/10
A contractor leans a 21-foot ladder against a building. The distance from the ground to the top of the ladder is 9 feet more than the distance from the building to the base of the ladder. How far up the building is the ladder to the nearest tenth of a foot
Answer:
The distance from the ground to the top of the ladder = 18.7 feet
Step-by-step explanation:
The distance from the ground to the top of the ladder is 9 feet more than the distance from the building to the base of the ladder.
distance from the building to the base of the ladder.= X
The distance from the ground to the top of the ladder = 9+x
Solving the triangle using Pythagorean theorem
X² +(x+9)²= 21²
X² + x² + 18x +81= 441
2x² +18x -360 = 0
X² +9x -180 = 0
X= (-9-28.3)/2 or (-9+28.3)/2
Definitely x is going to be a positive number
So
X= (-9+28.3)/2
X=9.65 feet
The distance from the ground to the top of the ladder = 9+x
The distance from the ground to the top of the ladder = 9+9.65
The distance from the ground to the top of the ladder = 18.65
The distance from the ground to the top of the ladder = 18.7 feet
Building is 9.65 foot far from ladder.
Length of ladder = 21 foot. This diagonal ladder is Hypotenuse to the right angled triangle formed between building & ladder.
Let the distance from building to base of ladder = x. This is the base of right angled triangle.
So, distance from ground to top of ladder = x + 9. This is the height of right angled triangle.
As per Pythagorus Theorem,
[tex]Hypotenuse^2 = Base^2 + Height^2[/tex]
[tex]21^2 = x^2 + (x+9)^2[/tex]
441 = [tex]x^2 + x^2 + 81 + 18x[/tex]
360 = [tex]2x^2 + 18x[/tex]
[tex]2x^2 + 18x[/tex] - 360 = 0
x = -b + [tex]\sqrt{b^2 - 4ac[/tex] / 2a
x = 9.65 { Building distance to ladder base }
To learn more, refer https://brainly.com/question/17275943
The function ƒ (x) = 12x gives the number of inches in x feet, and g(x) = 3.28x gives the approximate number of feet in x meters. Write a composite function that could be used to convert meters to inches.
Answer:
39.36xStep-by-step explanation:
Given the f(x) = 12x as the number of inches in x feet and g(x) = 3.28x gives the approximate number of feet in x meters, to find the composite function that can be used to convert metres to inches will give;
f[g(x)] (This means we are substituting the function that is measured in metres into the functions measured in inches).
Given g(x) = 3.28x,
f[g(x)] = f(3.28x)
f(3.28x) means that we are to replace the variable of x in f(x) with 3.28x as shown;
f(3.28x) = 12(3.28x)
f(3.28x) = 39.36x
f[g(x)] = 39.36x
Hence the composite function that could be used to convert meters to inches is expressed as 39.36x.
Which of the following expressions demonstrates the distributive property?
O 3+ 4+ 5 = 4 + 3 + 5
O-2(5 + 7) = -2(7 +5)
O3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(
67)](-2)
Answer:
O3(-8 + 1) = 3(-8) + 3(1)
Step-by-step explanation:
GOOD LUCK WITH BRAINLY I HOPE I HELPED :)
The expressions demonstrates the distributive property is
3(-8 + 1) = 3(-8)+ 3(1).
What is Distributive Property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
We know the standard forms for distributive property as
For addition: a x (b+ c) = a x b + a x c
For Subtraction: ax (b- c)= a x b - a x c
1. 3+ 4+ 5 = 4 + 3 + 5 is Associative Property.
2. -2(5 + 7) = -2(7 +5) is Associative Property
3. 3(-8 + 1) = 3(-8)+ 3(1) is Distributive Property
Learn more about Distributive Property here:
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So this is the question: Meg has 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug? Please help me!
Answer:
she can only get 1 servings
Answer:
1 cause 4/8 is a half of the jug at it's full brethall
so one 1/2
30 points! need asap The endpoints of CD¯¯¯¯¯¯¯¯ are C(5, 3) and D(−3,−6). Find the coordinates of the midpoint M. Coordinates of midpoint M:
Answer:
The midpoint is ( 1, -1.5)
Step-by-step explanation:
To find the midpoint
Add the x coordinates of the endpoints and divide by 2 to get the x coordinate of the midpoint
(5+-3)/2 = 2/2 = 1
Add the y coordinates of the endpoints and divide by 2 to get the y coordinate of the midpoint
(3+-6)/2 = -3/2 = -1.5
The midpoint is ( 1, -1.5)
Answer:
mid point = 1, -1.5
Step-by-step explanation:
mid point between two points C(5, 3) and D(-3, -6)
M = (x1 + x2)/2 , (y1 + y2)/2
mid point = (5 + (-3)) / 2 , (3 + -6)/2
mid point = 2/2 , -3/2
mid point = 1, -1.5
Solve the equation 3(x - 4) = 7. What would be the next step in simplifying by the distribution property? 3x - 4 = 7 3x + 12 = 7 3x + 4 = 7 3x - 12 = 7
Answer:
3x-12 =7
Step-by-step explanation:
you distribute the 3 to the x and the -4
is 0.7 divided by 10 equivalent to 0.07
Answer:
yes
Step-by-step explanation:
yes because if you do the math you and you use your brain it's obvious
Step-by-step explanation:
cause I know it
find the quotient. (-2) divided by 9
Answer:
-0.22222222222222222222222
Step-by-step explanation:
8x - 3 = 5 (2x + 1) solve for x
Answer:
x=−4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Given:
8x - 3 = 5 (2x + 1)Solving for x:
8x - 3 = 10x + 510x - 8x = -3 - 52x = - 8x = -8/2x = -4A veterinarian has 6 cats and 10 dogs in a kennel. What is the ratio of cats to dogs?
Answer:
.6
...................
Answer: 6 : 10 or 3:5
Step-by-step explanation:
If they are 6 cats and 10 dogs then the ratio of cats to dogs it 6 to 10 or 6/10
Solve for the value of X. 62 = 12 - 5x
Answer:
x = -10
Step-by-step explanation:
62 = 12 - 5x
-12 . -12
62 - 12 = -5x
50 = -5x
__ . __
-5 . -5
-10 = x
30 POINTS! ASAP PLEASE ∠1 is a supplement of ∠2, and m∠1=123∘. ∠2 is a complement of ∠3. Find m∠3. m∠3=
Answer:
angle 3 is 33 degrees.
Step-by-step explanation:
complementary angle-adds up to 90 degrees
supplementary angle- adds up to 180 degrees.
if angle 1 is 123, then angle two is 180-123 degrees(57)
if angle two is 57 degrees, angle 3 is 90-57 degrees (33)
Answer:
m∠3 = 33°Step-by-step explanation:
Since ∠1 and ∠2 are supplementary the sum of their angles is 180°
So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2
So we have
∠1 + ∠2 = 180
∠2 = 180 - ∠1
From the question
m∠1 = 123°
So we have
∠2 = 180 - 123
∠2 = 57°
From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°
That's
∠2 + ∠3 = 90
∠3 = 90 - ∠2
∠3 = 90 - 57
We have the final answer as
m∠3 = 33°Hope this helps you
Tim rolls two six-sided dice and flips a coin.
All of the following are possible outcomes, EXCEPT:________.
a. 1, Tails, 6
b. Heads, 3, 4
c. 2, 8, Heads
d. 5, 2, Tails
Answer:
C. 5, 2, Tails is not a possible outcomeStep-by-step explanation:
We are presented with three items
two dices and a coin
The sample space for a dice is S=(1,2,3,4,5,6)
and the sample space for a coin is S=(head and tail)
In the options provided all are possible outcomes for the two dices and the coin except for options "C" ,and this is because "8" is not a sample space in a dice
Answer:
2,8 Heads
Step-by-step explanation:
A standard coin has two values, {Heads or Tails}, while a standard die has six values {1, 2, 3, 4, 5, or 6}. So, obtaining a 2 is possible, however the 8 is not.
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).
What value of k makes these segments perpendicular?
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5 (use the slope formula)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
Expresa el siguiente número 14322000000000000 en notación científica *
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
Evaluate the expression when a = 9 and b = 7.
b+5a
Help
Needed