Answer:
The correct option is;
a. 1
Step-by-step explanation:
Given that the origin (0, 0) is the corner of the square
The equation of one of the sides = 3·X + 4·Y + 5 = 0
Therefore, we have;
Y = -3/4·X - 5/4
Which gives the slope as -3/4 and the y-intercept as (0, -5/4)
The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3
The y-intercept of the current particular perpendicular side = 0
The equation is therefore;
y = 4/3·x + 0
The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;
4/3·x = -3/4·X - 5/4
4/3·x + 3/4·X = -5/4
25/12·X = -5/4
X = -5/4×12/25 = -3/5
Y = 4/3·x = 4/3× (-3/5) =-4/5
The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1
The area of a square = (Length of side) × (Length of side)
∴ The area of the square = 1 × 1 = 1
The area of the square = 1.
A garden has an area of 264ft^2. Its length is 10 ft more than its width. What are the dimensions of the garden?
Answer:
Length = 22 ftWidth = 12 ftStep-by-step explanation:
Let length of the garden be ' x + 10 '
Let breath of the garden be ' x '
Area of the garden = 264 ft²
Now, let's find the breath of the garden 'x'
[tex]x(x + 10) = 264[/tex]
Distribute X through the parentheses
[tex] {x}^{2} + 10x = 264[/tex]
Move constant to left and change its sign
[tex] {x}^{2} + 10x - 264 = 0[/tex]
Write 10x as a difference
[tex] {x}^{2} + 22x - 12x - 264 = 0[/tex]
Factor out X from the expression
[tex]x(x + 22) - 12x - 264 = 0[/tex]
Factor out -12 from the expression
[tex]x(x + 22) - 12(x + 22) = 0[/tex]
Factor out X +22 from the expression
[tex](x + 22)(x - 12) = 0[/tex]
When the products of factors equals to 0 , at least one factor is 0
[tex]x + 22 = 0[/tex]
[tex]x - 12 = 0[/tex]
Solve for X
[tex]x + 22 = 0[/tex]
[tex]x = 0 - 22[/tex]
[tex]x = - 22[/tex]
Again,
[tex]x - 12 = 0[/tex]
[tex]x = 0 + 12[/tex]
[tex]x = 12[/tex]
(The dimensions can't be negative. )
So, width = 12 ft
Now, let's find the length of the garden ' X + 10 '
[tex]x + 10[/tex]
Plug the value of X
[tex]12 + 10[/tex]
Calculate the sum
[tex] = 22 \: ft[/tex]
Therefore,
Length = 22 ftWidth = 12 ftHope this helps..
Best regards!
Please help me i give 40 points and five more to who say me the answers
Answer:
Step-by-step explanation:
A frequency table can be used to group a raw data. It shows the quantity of each variable in the data.
The required answers to the question can be found in the attachments to this answer.
Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 students, she finds 2 who eat cauliflower. Obtain and interpret a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus using Agresti and Coull's method.
Construct and interpret the 95% confidence interval. Select the correct choice below and fill in the answer boxes within your choice.
(Round to three decimal places as needed.)
A. The proportion of students who eat cauliflower on Jane's campus is between___ and __ 95% of the time.
B.There is a 95% chance that the proportion of students who eat cauliflower in Jane's sample is between __ and __.
C. There is a 95% chance that the proportion of students who eat cauliflower on Jane's campus is between __ and__.
D. One is 95% confident that the proportion of students who eat cauliflower on Jane's campus is between __ and __.
Answer:
A 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus is [0.012, 0.270].
Step-by-step explanation:
We are given that Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 students, she finds 2 who eat cauliflower.
Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of students who eat cauliflower
n = sample of students
p = population proportion of students who eat cauliflower
Here for constructing a 95% confidence interval we have used a One-sample z-test for proportions.
So, 95% confidence interval for the population proportion, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95
Now, in Agresti and Coull's method; the sample size and the sample proportion is calculated as;
[tex]n = n + Z^{2}__(\frac{_\alpha}{2})[/tex]
n = [tex]24 + 1.96^{2}[/tex] = 27.842
[tex]\hat p = \frac{x+\frac{Z^{2}__(\frac{\alpha}{2}_) }{2} }{n}[/tex] = [tex]\hat p = \frac{2+\frac{1.96^{2} }{2} }{27.842}[/tex] = 0.141
95% confidence interval for p = [ [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]
= [ [tex]0.141 -1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }[/tex] , [tex]0.141 +1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }[/tex] ]
= [0.012, 0.270]
Therefore, a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus [0.012, 0.270].
The interpretation of the above confidence interval is that we are 95% confident that the proportion of students who eat cauliflower on Jane's campus is between 0.012 and 0.270.
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? Verify that the intersection point show in your graph is a solution for both equations
Answer:
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Step-by-step explanation:
"Golden Corral charges $11 for a buffet plus $1 for each drink."
d + 11
"Western Sizzlin charges $9 for a buffet plus $2 for each drink."
2d + 9
Set the 2 cost functions equal:
2d + 9 = d + 11
d = 2
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Describe each polynomial expression by type and components based on the example
shown.
3x² + 2x
2x²–5x+3
• 6x
Answer:
The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms). The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term). Not sure if that's what you were looking for.
Step-by-step explantion:
super easy problem its just graphing!! will mark brainliest <33
Answer:
[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
Check below the graph.
Step-by-step explanation:
Hi, for this function, check the graph below:
1) Note that in this function the value outside the brackets points how high the graph will be traced.
2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.
Poles are placed 60 m apart along a road 8.4 km how many poles were needed?
Answer:
140 poles
Step-by-step explanation:
1. Convert to the same unit. Either meters to kilometers or kilometers to meters, so you can complete the computation.
60 m = 0.06 km (divide by 1,000) - see image #12. Divide 0.06 by 8.4 (8.4/0.06 = 140).
3. 140 poles can be placed on the 8.4 km road when separated by 60 m or 0.06 km.
Which sum or difference is modeled by the algebra tiles?
Answer:
(C)[tex]x^2+4x-2-(-x^2+2x-4)=2x^2+2x+2[/tex]
Step-by-step explanation:
The expression represented by the upper tiles is: [tex]x^2+4x-2[/tex]
The expression represented by the lower tiles is: [tex]x^2-2x+4[/tex]
Adding the two
[tex]x^2+4x-2+(x^2-2x+4)=2x^2+2x+2[/tex]
Writing it as a difference, we have:
[tex]x^2+4x-2-(-x^2+2x-4)=2x^2+2x+2[/tex]
The correct option is C.
Answer:
yeah, what newton said :]
Find the measure of angle A associated with the following ratios and round to the nearest degree. CosA=0.2785 m∠A=
Answer:
74°.
Step-by-step explanation:
From the question given above,
Cos A = 0.2785
To get the value of angle A, we simply find the inverse of Cos as shown below:
Cos A = 0.2785
Take the inverse of Cos.
A = Cos¯¹ 0.2785
A = 73.8° ≈ 74°
Therefore, the value of angle A is approximately 74°
The shaded figure is a rhombus.
The area of the shaded section is 60 square units. What is the value of x?
Answer:
6
Step-by-step explanation:
the value of x is 6
so the answer is 6
Answer:
answer is 8
Step-by-step explanation:
BRAINLEST Use the function f(x) = 2x^2 − 5x + 3 to answer the questions. Part A: Completely factor f(x). Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Answer:
answer pic below :)
Step-by-step explanation:
Please help ASAP! I’ll give brainliest:))
Answer with explanation:
After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)
From the given graph, the coordinates of point C = (0,6) [Since it lies on y-axis , the x-coordinate is zero]
After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]
Now plot this point on y-axis at y=3 as given in the attachment.
Rewrite the expression in exponential form.
Answer:
[tex]a^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Apply rule: [tex]\displaystyle \sqrt[n]{x} =x^{\frac{1}{n}[/tex]
[tex]\sqrt[3]{a} =a^{\frac{1}{3} }[/tex]
Below given are the details of transaction of a bank account of three brother Ram, Rahul and Rohit having AED 1000 in each account. a. Ram – Credits AED 500 on 12th May 2020 b. Rahul – Debits AED 700 on 12th May 2020 and Credits AED 500 on 15th May 2020. c. Rohit – Credits AED 700 on 12th May 2002 and Debits AED 500 on 15th May 2020. Who has more amount in his account at the end of the month Arrange the amounts in ascend
Answer:
Ram therefore has more amount in his account at the end of the month, and the balances in their bank accounts at the end of the month are arranged in ascending order, i.e. from the smallest to the largest, as follows:
Rahul – Debits AED 200; Rohit – Credits AED 200; and Ram – Credits AED 500.
Step-by-step explanation:
In banking and finance, a credit transaction on a bank account indicates that an additional amount of money has been added to the bank account and the balance has increased. This gives a positive balance in the account
On the other hand, a debit transaction on a bank account indicates that an amount of money has been deducted or withdrawn from the bank account and the balance has therefore reduced. This gives a negative balance in the account.
Based on the above, we have:
a. Ram – Credits AED 500 on 12th May 2020
Since there is no any other credit or debit transaction during the month, this implies that Ram still has Credits AED 500 in his account at the end of the month.
The Credits AED 500 indicates that Ram has a positive balance of AED 500 in his account at the end of the month.
b. Rahul – Debits AED 700 on 12th May 2020 and Credits AED 500 on 15th May 2020.
The balance in the account of Rahul gives Debits of AED 200 as follows:
Debits AED 700 - Credits AED 500 = Debits AED 200
The Debits AED 200 indicates that Rahul has a negative balance of AED 200 in his account at the end of the month.
c. Rohit – Credits AED 700 on 12th May 2002 and Debits AED 500 on 15th May 2020.
The balance in the account of Rohit gives Credits of AED 200 as follows:
Credits AED 700 - Dedits AED 500 = Credits AED 200
The Credits AED 200 indicates that Rohit has a positive balance of AED 200 in his account at the end of the month.
Conclusion
Arrangement of numbers or amounts of money in ascending order implies that they are arranged from the smallest to the largest number or amount.
Since Credits implies positive amount and Debits implies negative amount, Ram therefore has more amount in his account at the end of the month, and the balances in their bank accounts at the end of the month are arranged in ascending order, i.e. from the smallest to the largest, as follows:
Rahul – Debits AED 200; Rohit – Credits AED 200; and Ram – Credits AED 500.
On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in dollars on the y-axis. The first line has an open circle at (0, 50) and continues horizontally to a closed circle at (2, 50). The second line has an open circle at (2, 100) and continues horizontally to a closed circle at (6, 100). The third line has an open circle at (6, 200) and continues horizontally to a closed circle at (8, 200). The graph represents the cleaning costs charged by a housekeeping service. Which statement is true of the cost function? A cleaning time of 2 hours will cost $100. A cleaning time of 6 hours will cost $150. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. Cost is a fixed rate of $200 for jobs that require at least 6 hours.
Answer:
C. (2, 6] hour jobs cost $100
Step-by-step explanation:
Let's consider each of these statements in view of the graph:
A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.Answer:
(0,8) first option and 50,100 or 200 in the second option
Step-by-step explanation:
Type the correct answer in each box. If necessary, use / for the fraction bar. Complete the statements about series A and B. Series A: 10+4+8/5+16/25+32/125+⋯ Series B: 15+3/5+9/5+27/5+81/5+⋯ Series__ has an r value of___where 0<|r|<1. So, we can find the sum of the series. The sum of the series is___ need help guys please :/
Answer:
Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3
Step-by-step explanation:
A geometric sequence is in the form a, ar, ar², ar³, . . .
Where a is the first term and r is the common ratio = [tex]\frac{a_{n+1}}{a_n}[/tex]
For series A: 10+4+8/5+16/25+32/125+⋯ The common ratio r is given as:
[tex]r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}[/tex]
For series B: 1/5+3/5+9/5+27/5+81/5+⋯ The common ratio r is given as:
[tex]r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3[/tex]
For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:
[tex]S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} } =\frac{50}{3}[/tex]
please help QUICKLY! please explain your answer, please give the correct answer
Answer:
0: 0.70561: 0.26882: 0.0256Step-by-step explanation:
When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.
The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...
p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056
__
There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:
p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16
p(1 for 2) = 0.2688
__
There is one way both children can have spina bifida:
p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256
__
In summary, our probability distribution is ...
p(X=0) = 0.7056
p(X=1) = 0.2688
p(X=2) = 0.0256
Find the product.
(5ab3b) (2ab)
PLEASE HELP!!! ASAP!!!
Answer:
10a²b²6ab²
Step-by-step explanation:
Distribute the 2ab the other values
I WILL MARK THE BRAINLIEST! please help me
There are 200 students in 8th grade. There are 3 different elective classes. All 8th grade students must take at least one elective.
- 35 total students are in drama
- 75 total students are in cooking
- 15 students are in both drama and P.E
-10 Students are in drama and cooking
- 5 students are in P.E and cooking
- 8 students are in all three electives
How many students are in P.E?
How many are ONLY in P.E?
Please answer both questions in two sentences.
Answer:
How many students are in P.E? 90
How many are ONLY in P.E? 62
Step-by-step explanation:
How many students are in P.E?
200 students in 8th grade.
35=drama
75=cooking
200-110=90=PE.
How many are ONLY in P.E?
Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.
90-28=62
Hope this helps!
Consider the equations:
y=15x-45
y=12x+18
How many solutions do they have?
Answer:
1
Step-by-step explanation:
Both equations are linear, and they do not have an equivalent slope, therefore they MUST intercept each other once and only once.
What is the slope of the line segment? A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, and 5. The values on the y axis are 0, 4, 8, 12, 16, and 20. A straight line joining the ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12 and 4, 16.
Answer:
4
Step-by-step explanation:
The coordinates are: A(0,0), B(1,4), C(2,8), D(3,12), E(4,16)
Using coordinates B and D, slope = (12 - 4)/(3 - 1) = 8/2
∴ slope = 4
Answer:
4
Step-by-step explanation:
A plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Will mark Brainlist
Answer:
12 gallons per hour
Step-by-step explanation:
Given the following :
Start time of flight = 9:30 a.m
Arrival time of flight = 1:45p.m
Gallons of gas used during duration of flight = 51 gallons
Number of hours spent during flight:
Arrival time - start time
1:45 pm - 9:30 am = 4hours and 15minutes
4hours 15minutes = 4.25hours
If 4.25hours requires 51 gallons of gas;
Then 1 hour will require ( 51 / 4.25)gallons
= 51 / 4.25
= 12 gallons
The base radius of two circular cones of the same height are in the ratio 4:6.The ratio of their volume are ?
Answer:
64 : 216
Step-by-step explanation:
Given the ratio of the heights = a : b, then
ratio of volumes = a³ : b³
Here the ratio of heights = 4 : 6 = 2 : 3 ← in simplest form, thus
ratio of volumes = 4³ : 6³ = 64 : 216 = 8 : 27 ← in simplest form
[tex]Let $u$ and $v$ be the solutions to $3x^2 + 5x + 7 = 0.$ Find\[\frac{u}{v} + \frac{v}{u}.\][/tex]
By the factor theorem,
[tex]3x^2+5x+7=3(x-u)(x-v)\implies\begin{cases}uv=\frac73\\u+v=-\frac53\end{cases}[/tex]
Now,
[tex](u+v)^2=u^2+2uv+v^2=\left(-\dfrac53\right)^2=\dfrac{25}9[/tex]
[tex]\implies u^2+v^2=\dfrac{25}9-\dfrac{14}3=-\dfrac{17}9[/tex]
So we have
[tex]\dfrac uv+\dfrac vu=\dfrac{u^2+v^2}{uv}=\dfrac{-\frac{17}9}{\frac73}=\boxed{-\dfrac{17}{21}}[/tex]
The value of [tex]\frac{u}{v} +\frac{v}{u}[/tex] is [tex]\frac{-17}{21}[/tex].
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is[tex]ax^{2} +bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
What is the sum and product of the roots of the quadratic equation?If [tex]ax^{2} +bx+c = 0[/tex] be the quadratic equation then
Sum of the roots = [tex]\frac{-b}{a}[/tex]
And,
Product of the roots = [tex]\frac{c}{a}[/tex]
According to the given question.
We have a quadratic equation [tex]3x^{2} +5x+7=0..(i)[/tex]
On comparing the above quadratic equation with standard equation or general equation [tex]ax^{2} +bx+c = 0[/tex].
We get
[tex]a = 3\\b = 5\\and\\c = 7[/tex]
Also, u and v are the solutions of the quadratic equation.
⇒ u and v are the roots of the given quadratic equation.
Since, we know that the sum of the roots of the quadratic equation is [tex]-\frac{b}{a}[/tex].
And product of the roots of the quadratic equation is [tex]\frac{c}{a}[/tex].
Therefore,
[tex]u +v = \frac{-5}{3}[/tex] ...(ii) (sum of the roots)
[tex]uv=\frac{7}{3}[/tex] ....(iii) (product of the roots)
Now,
[tex]\frac{u}{v} +\frac{v}{u} = \frac{u^{2} +v^{2} }{uv} = \frac{(u+v)^{2}-2uv }{uv}[/tex] ([tex](a+b)^{2} =a^{2} +b^{2} +2ab[/tex])
Therefore,
[tex]\frac{u}{v} +\frac{v}{u} =\frac{(\frac{-5}{3} )^{2}-2(\frac{7}{3} ) }{\frac{7}{3} }[/tex] (from (i) and (ii))
⇒ [tex]\frac{u}{v} +\frac{v}{u} =\frac{\frac{25}{9}-\frac{14}{3} }{\frac{7}{3} }[/tex]
⇒ [tex]\frac{u}{v} +\frac{v}{u} = \frac{\frac{25-42}{9} }{\frac{7}{3} }[/tex]
⇒ [tex]\frac{u}{v} +\frac{v}{u} = \frac{\frac{-17}{9} }{\frac{7}{3} }[/tex]
⇒ [tex]\frac{u}{v} +\frac{v}{u} =\frac{-17}{21}[/tex]
Therefore, the value of [tex]\frac{u}{v} +\frac{v}{u}[/tex] is [tex]\frac{-17}{21}[/tex].
Find out more information about sum and product of the roots of the quadratic equation here:
https://brainly.com/question/14266582
#SPJ3
Which option is it??????
Answer:
both the equation and it's inverse are functions
The mode of the numbers 1,1,3,3, 5, 6, 6, 6, 7, 8 is
Answer:
The mode of the above is 6.
Step-by-step explanation:
Mode-the number that occurs most frequently in a set of numbers.
The six appeared three times being the most.
I really hope this helps.
which of the following is equivalent to [ (x^ 2 y^ 3 )^ -2/ (x^ 6 y^ 3 z)^3]? worth 60 points!
Answer:
[tex]\dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Step-by-step explanation:
[tex] (\dfrac{(x^2y^3)^{-2}}{(x^6y^3z)^{2}})^3 = [/tex]
[tex] = (\dfrac{1}{(x^6y^3z)^{2}(x^2y^3)^{2}})^3 [/tex]
[tex] = (\dfrac{1}{x^{12}y^6z^{2}x^4y^6})^3 [/tex]
[tex]= (\dfrac{1}{x^{16}y^{12}z^{2}})^3[/tex]
[tex]= \dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Answer:
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]
Step-by-step explanation:
[tex]\displaystyle[\frac{(x^2 y^3)^{-2}}{(x^6 y^3 z)^2 } ]^3[/tex]
[tex]\displaystyle \frac{(x^2 y^3)^{-6}}{(x^6 y^3 z)^6 }[/tex]
[tex]\displaystyle \frac{(x^{-12} y^{-18})}{(x^{36} y^{18}z^6 ) }[/tex]
[tex]\displaystyle \frac{x^{-48} y^{-36}}{z^6 }[/tex]
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]
Please answer it now in two minutes
Answer: 3.2 yd
Step-by-step explanation:
Notice that TWV is a right triangle.
Segment TU is not needed to answer this question.
∠V = 32°, opposite side (TW) is unknown, hypotenuse (TV) = 6
[tex]\sin \theta=\dfrac{opposite}{hypotenuse}\\\\\\\sin 32=\dfrac{\overline{TW}}{6}\\\\\\6\sin 32=\overline{TW}\\\\\\\large\boxed{3.2=\overline{TW}}[/tex]
In65 - lnX = 39
What does X=?
Answer:
The answer is 7.47Step-by-step explanation:
In this problem we are going find the natural logarithmic of the numbers involved and solve for x
[tex]ln65-Ln x= 39\\[/tex]
from tables
ln 65= 4.17[tex]4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\[/tex]
taking the exponents of both sides we have
[tex]e^-^3^4^.^8^3= x\\x= 7.47[/tex]
please help me explain this correctly..
Answer:
Yes, the ordered pair is correct.
Explanation:
You can check the if the ordered pair by substituting the values into the equation. If you substitute the ordered pair (1, 3), then you can make sure the ordered pair is correct. The equation with the substitution will be 3 = 1 + 2, which results in the true equation 3 = 3, therefore the ordered pair is correct.