Answer:
D. [tex]\frac{12x+20}{5y^3}[/tex]
Step-by-step explanation:
When multiplying 2 fractions, you multiply the numerators and denominators, so we have:
[tex](\frac{3x+5}{y^6})(\frac{4y^3}{5}) = \frac{(3x+5)\cdot 4y^3}{y^6\cdot 5} = \frac{(3x+5)\cdot 4}{y^3 \cdot 5} = \frac{12x + 20}{5y^3}[/tex]
Answer:
4th option
Step-by-step explanation:
[tex]\frac{3x+5}{y^6}[/tex] × [tex]\frac{4y^3}{5}[/tex] ( cancel y³ and [tex]y^{6}[/tex] on numerator/denominator by y³ )
= [tex]\frac{3x+5}{y^3}[/tex] × [tex]\frac{4}{5}[/tex]
= [tex]\frac{4(3x + 5)}{5y^3}[/tex]
= [tex]\frac{12x+20}{5y^3}[/tex]
Im stuck on this question, how do I find the uneven areas? Each unit is 1 sq unit. Please help! I am so worn out by this question!
Answer:
5.5 sq units
Step-by-step explanation:
Find the square around the red shape and subtract out the white parts.
Square = 4x4 = 16
Triangles subtracted -
1x1/2
1x1/2
3x4/2
3x1/2
Total subtracted = -8.5
Squares subtracted
1x1
1x1
Total subtracted = -2
16 - 10.5 = 5.5
Please find the area and circumference of the circle with diameter 3.7cm
Answer:
Area: 10.7521 cm
Circumference: 11.62389 cm
________________________________________________________
Solve: AreaArea, A, will equal the formula of [tex]\pi r^2[/tex], so we must find the value and split that up. Diameter, d is equal to 2r. Let's solve.
[tex]A = \pi r^2[/tex]
[tex]d = 2r[/tex]
Now, make an equation combining like terms.
[tex]A = \frac{1}{4} \pi d^2[/tex]
This equation means to multiply those terms together. Since the diameter is 3.7, d is 3.7
[tex]\frac{1}{4} * \pi * 3.7 = 10.8(estimate)~cm[/tex]
Let's move on to circumference. On we go!
________________________________________________________
Solve: CircumferenceWith circumference, it is very similar to what you just did to find area(A). You must again, set up these terms and make an equation out of them. C(circumference) is going to be equal to [tex]\pi r[/tex], notice how it does not say squared([tex]^2[/tex]) at the end now.
[tex]C = \pi r[/tex]
And diameter, you guessed it, will be 2r.
[tex]d = 2r[/tex]
Now, combine the like terms into an equation.
[tex]C = \pi d[/tex] pi times diameter(3.7)
[tex]\pi * d(3.7) = 11.6~cm[/tex]
Now that the problem is done, we move on to review.
________________________________________________________
What have we learned?We learned how to solve for circumference and area using diameter.
________________________________________________________
Questions?Feel free to ask in the comments.
PLSS HELP WILL GIVE BRAINLIST:DDDDDD
Use the number line to help you decide which statement is true.
1
3
<
2
6
1
3
>
2
6
1
3
=
2
6
Answer:
It's 13<26
Step-by-step explanation:
What is the purpose of constructing a confidence interval?
Using the interpretation of a confidence interval, it is found that the correct option is:
In order to find a range of values to estimate the population proportion.x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has confidence level of x%. It means that we are x% confident that the population mean is between a and b.From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.Hence, the correct option is:
In order to find a range of values to estimate the population proportion.You can learn more about the interpretation of a confidence interval at
https://brainly.com/question/25822483
A small country emits 93,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 4% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 93,000 kilotons and the emissions will decrease 4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?
Answer:
779264 k-tons
Step-by-step explanation:
First year ====> no change
then each of the next 9 years decrease by 4 % ( leaving 96%)
this is a geometric sequence with
r = .96 and a1 = 93000 and n = 10 terms
sum of sequence = a1 (1-r^n) / ( 1-r) = 779264 kilotons
help please ! it’s one of the multiple choices
Answer:
Option C
Step-by-step explanation:
[tex]\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}[/tex]
[tex]\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}[/tex]
[tex]\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)[/tex]
]
3 3 6
Which of the following represents the solution of
?
2 2x 5x
NI
X=-
1
5
OX=-
5
9
O all real numbers
Ono solution
Answer:
They are all real numbers.
Option (2) and (5) I think is correct. x = -5 and x = 3
Step-by-step explanation:
Answer: Option (2) and (5) is correct. ... We have to find the solution of the given equation (x + 5)(x – 3) = 0 and choose the correct option from the given·
The vertical of three squares are joined to form a right triangle , what is the area of the largest square
A- 25cm^2
B- 202,500cm^2
C- 34cm^2
D- 43cm^2
Answer:
43cm²
Step-by-step explanation:
let's first consider the area of a square.
the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.
so to find the side of the square using the area, we take the square root of both of the area.
[tex] \sqrt{25} = 5[/tex]
and also
[tex] \sqrt{18} = 4.2[/tex]
so we have the height of the triangle as 5cm and the base is 4.2cm.
now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.
[tex] \sqrt{ {5}^{2} + {4.2}^{2} } = 6.53cm[/tex]
so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula
Area = L²
Area = 6.53²
Area = 42.6cm
the nearest cm square
Area = 43cm²
Check the picture below.
An investor buys in a company and in the twelve months after she invests the value of the stock decreases by 30% , bu what amount will the value of the stock need to go up from there in order that the price of the stock will be equal to what the investor first paid for it ?
a:30%
b:37,5%
c:42. 9
d:45
e:46. 7
Answer:
B 37.5%
Step-by-step explanation:
a+b×2%
Can someone help me
:)
which is better left riemann or right riemann? and why?
Step-by-step explanation:
It depends on your function. It also depends on if you want an overestimate, or underestimate. Riemann sums are used to approximate integrals by summing the area of 'n' amount of rectangles.
5√5-2√5 can someone please simplify this before I throw my phone across the floor thankyou
Answer:
3 sqrt 5 ( or 6.7082039 as posted in earlier A )
Step-by-step explanation:
sqrt ( 5) ( 5-2) = 3sqrt 5
what is 17/12 as a mixed fraction
Answer: 1 5/12
Step-by-step explanation:
Divide 17 by 12
Answer:
1 and 5/12
Step-by-step explanation:
Step 1: Find the whole number
Step 2: Get the new numerator
Step 3: Our mixed fraction
Step 4: Simplifying our fraction
What is the circumference of a circle with a diameter of 10 meters? (Use 3.14 for pi.)
13.14 m
31.4 m
15.7 m
314 m
Answer:
The answer is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECTAnswer:
31.4 m
Step-by-step explanation:
The formula for the circumference of a circle is c=dπ, so we can substitute our diameter and 3.14 for pi.
c=(10)(3.14)
c=31.4
So the diameter is 31.4 meters.
What are the solutions to the equation 3x2 + 15x = 18?
A X=-3 and X =-2
B X = -6
and x = 1
C
X = 6 and x = 13
D X = 0 and x = 1
[tex]3x {}^{2} + 15x = 18[/tex]
Divide the entire thing by 3[tex]x {}^{2} + 5x = 6[/tex]
[tex]x {}^{2} + 5x - 6 = 0[/tex]
You can find the roots by using the quadratic formula or by using the form x²-Sx+P[tex]let \: \alpha \: and \: \beta \: be \: the \: roots[/tex]
Two numbers whose sum is -5 and product is -6-6 and +1Your answer is BCan someone help me please?
1 yellow heart = 4
5 yellow hearts = 20
1 pink triangle = 4
5 pink triangles = 20
hope it helps...!!!
Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
Answer:
[tex]-13x-23[/tex]
Step-by-step explanation:
Given sequence: [tex]x-9, -x-11, -3x-13[/tex]
Therefore,
[tex]a_1=x-9[/tex][tex]a_2=-x-11[/tex][tex]a_3=-3x-13[/tex]General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where a is the first term and d is the common difference)
To find the common difference, subtract a term from the next term:
[tex]\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}[/tex]
Therefore,
[tex]a_n & =(x-9)+(n-1)(-2x-2)[/tex]
To find the 6th term, input n = 6 into the equation:
[tex]\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}[/tex]
If P is the set of prime integers and E is the set of even integers, which of the following is in both set P and set E? A. 0 B. 1 C. 2 D. 3 E. 4
Answer:
option (C) 2
Step-by-step explanation:
because 2 is a prime number and also an even integer.
(NOTE: 0 and 1 are not prime numbers and also 0 is an even numbers while 1 is a prime number).
Hope this helps.
Good luck .
How can you find an output number when you know an input number?
Here is an example of a pattern
Input / Output
1 / 3
2 / 7
3 / 11
4 / 15
5 / 19
6 / 23
10th term of 6 -24 96 -384
Answer:
-1,572,864
Step-by-step explanation:
r = - 4
6 - 24 96 - 384 ......
6 * r^9 = a10 = -1572864
Suppose I have an organization that has 60 people, 35 are women and 25 are men. We need to select a committee of 11 people. How many ways can such a committee be formed
Using the combination formula, it is found that such a committee can be formed in 342,700,125,300 ways.
The order in which the people are selected is not important, hence, the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 11 people are taken from a set of 60, hence:
[tex]C_{60,11} = \frac{60!}{11!49!} = 342700125300[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
help me i need help
plssssssssssssssssss help
Answer:
33 feet
Step-by-step explanation:
[tex]total \: lengt h \: of \: street = 833 \: ft[/tex]
[tex]useable \: length \: of \: street = 833 - 8 = 825 \: ft[/tex]
[tex]width \: of \: front \: yard = \frac{825}{25} \: ft[/tex]
[tex] = 33\: ft[/tex]
Zero to the power of two
Answer:
0
Step-by-step explanation:
because when you square a number, you multiply it by itself. So, you would do 0 x 0 = 0
Hope this helps!
- profparis
Answer:
0
Step-by-step explanation:
0^2 = 0*0
Zero times zero is still zero
Hope this helps!
5. How many lines of symmetry does a tree have?
Answer:
This tree has one line of symmetry.
How many outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time?
There are 288 outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
The outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.
The number of outcomes is created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time is;
[tex]\rm Outcome=4\times 6\times 12\\\\Outcomes =288[/tex]
Hence, there are 288 outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.
Learn more about combination here;
https://brainly.com/question/12428942
#SPJ2
How can I solve this trig identity manipulating tan instead of the right side?
Answer:
Trig identities
[tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]
[tex]\sin(\thet2\theta)=2 \sin(\theta)\cos(\theta)[/tex]
[tex]\begin{aligned}\cos(\thet2\theta) & =1-2\sin^2(\theta)\\2\sin^2(\theta) & = 1-\cos(2\theta) \end{aligned}[/tex]
Solution
[tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex]
[tex]\textsf{Multiply by}\:\dfrac{2\sin(\theta)}{2\sin(\theta)}:[/tex]
[tex]\begin{aligned}\implies \tan(\theta) & =\dfrac{\sin(\theta)}{\cos(\theta)} \times \dfrac{2\sin(\theta)}{2\sin(\theta)}\\\\ & =\dfrac{2\sin^2(\theta)}{2\sin(\theta)\cos(\theta)}\\\\ & = \dfrac{1-\cos(2\theta)}{\sin(2\theta)}\end{aligned}[/tex]
Therefore,
[tex]\implies \dfrac{1-\cos(2\theta)}{\sin(2\theta)}=\dfrac{1-\cos(2\theta)}{\sin(2\theta)}[/tex]
The function h(t) -16t2 +26+6 models the height of basketball, in feet, t seconds after it leaves a player's hands. In approximately how many seconds does the basketball hit the ground
Answer:
1.8 seconds
Step-by-step explanation:
I WILL MAKR BRAINLIEST
Answer:
Ans of No.3
C 40÷(x+4)
Step-by-step explanation:
question 40÷(4+x)
ans nothing changed but x move to front of 4 and 4 move behind of x
Here are the approximate populations of three countries, expressed in scientific notation: Panama: 4 x 10^6, Peru: 3. 2 x 10^7, Thailand: 7 x 10^7. Decide what power of 10 to put on the label for the rightmost tick mark of this number line so that all three countries’ populations can be distinguished. Number after ^ is an exponent
Using scientific notation, considering that Thailand has the larger population, the power of 10 that should be on the label is of 7.
What is scientific notation?
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In this b is the power of 10 and the base a is in the following interval:
[tex]a \in [1, 10)[/tex].
In this problem, considering that both Thailand and Peru population's have exponent 7, and Panama's population is of [tex]4 \times 10^6 = 0.4 \times 10^7[/tex], the power of 10 that should be on the label is of 7.
More can be learned about scientific notation at https://brainly.com/question/26482653
The lengths of two consecutive sides of the
parallelogram shown are 10 inches and 15
inches. The two sides include an angle of 60°.
To the nearest tenth of a square inch,
what is the area of the parallelogram?