Answer:
15^3=15×15×15=3375
0^4=0×0×0×0=0
5^5=5×5×5×5×5=3125
3.5^2=3.5×3.5=12.25
6^5=6×6×6×6×6=7776
7^4=7×7×7×7=2401
1^8=1×1×1×1×1×1×1×1=1
2.5^3=2.5×2.5×2.5=15.625
Step-by-step explanation:
A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?
(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3
Answer:
[tex]b = 0.3[/tex]
Step-by-step explanation:
Given
[tex]V = ab^t[/tex]
See attachment for graph
From the graph
V = 20 when t = 0
This implies that:
[tex]V = ab^t[/tex]
[tex]20 = ab^0[/tex]
[tex]20 = a * 1[/tex]
[tex]20 = a[/tex]
[tex]a = 20[/tex]
Also:
V = 4 when t = 1.5
So:
[tex]4 = ab^{1.5[/tex]
Substitute 20 for a
[tex]4 = 20 * b^{1.5[/tex]
Divide by 20
[tex]0.2 =b^{1.5[/tex]
[tex]b^{1.5} = 0.2[/tex]
Take 1.5th root of both sides
[tex]b = 0.34199518933[/tex]
[tex]b = 0.3[/tex] --- approximated
The graph shows the function f(x).
What is the function's average rate of change from x=−1 to x = 1?
Enter your answer, as a simplified fraction, in the boxes.
Explanation is in the file
tinyurl.com/wpazsebu
How do I solve for x
Answer:
x=-4
Step-by-step explanation:
The angles have to equal eachother, so:
130=134+x
subract 134 from both sides
-4=x
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
If the following equation is true, what could be the value of x ?
2(x+1) = 8^2
a. 2
b. 3
c. 4
d. 5
Answer:
2 ( x + 1 ) = 64
x = 64 : 2 - 1
x = 31
The equation isn't true
Factor completely
486+108x+6x^2
Thank you!
Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
solve for x in the equation 5x-4=2x+20
The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.
To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:
Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
(5x - 2x) - 4 = (2x - 2x) + 20]
Simplifying:
3x - 4 = 20
Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:
(3x - 4) + 4 = 20 + 4
Simplifying:
3x = 24
Finally, solve for x by dividing both sides of the equation by 3:
(3x)/3 = 24/3
Simplifying:
x = 8
Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.
To know more about "equation." here
https://brainly.com/question/29174899
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Full Question-
Solve for x in the given equation 5x-4 = 2x+20
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Learn more about permutations at https://brainly.com/question/1216161
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What is the circumference of the outer edge of the path around the pool?
A piece of machinery depreciates 6000 the first year 5500 the second year and 5000 the third year. If the rate of depreciation is constant what is the amount of depreciation of the piece of the machinery in the sixth year?
Answer:
3500
hope this helps
I need help finding the area and perimeter to this question. Pls help!! Thank you!
Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)
who hates else edge and if you have cod mobile what's your name we could play
Answer:
i
Step-by-step explanation:
my name is Aisha let's play
-
Determine whether the graph is a function.
Answer:
a
Step-by-step explanation:
a
I just need these three questions fine, they should be easy, 7th grade level
1) A graph is linear when the line on a graph is a straight line with no curves.
2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.
3) (I don't know what type of equation you mean but this is my guess)
Division is the last step of an equation.
GEOMETRY!!! Will give brainliest
Answer:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Step-by-step explanation:
TIME REMAINING
54:28
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Susan plans to make 4 pies for a family reunion. There will be 32 people at the reunion. How much pie will each person get if each piece is the same size?
1. 1/4
2. 1/7
3. 1/8
4. 1/32
Answer:
3
Step-by-step explanation:
to get enough pie for 32 people, each of the 4 pies would need to be 8 slices. since they each get 1 of 8 it would be 1/8
I dont need an explanation just tell me where the 1 and 2 goes no links WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
independent variable is pens and dependent variable is $5 each Im pretty sure
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
can someone explain how to do this for me?
Answer:
Weight of circles = 10
Step-by-step explanation:
Say the circle's weight is x
Since there is one triangle and one square on the left, we know that is 16 pounds
Since there are 5 squares on the right, we know that is 36 pounds
Knowing that the circle weight variable is x, we can make an equation
16+3x=36+x
Simply solve for x now
What percent of cupcake sales were more than 3 cupcakes, but less than 7 cupcakes?
9% is the answer trust me on this
WILL GIVE BRAINLIEST
Answer:
2¹⁰
Step-by-step explanation:
when the bAse the same
then,
we take them common and add their exponents.
Answer: [tex]2^{10}[/tex]
They give you the answer in the question. Multiply [tex]2^{3}[/tex] and [tex]2^{7}[/tex].
When multiplying exponents we add them.
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data from this sample, it was reported that over half of U.S. adults would give themselves a grade of A or B on their knowledge of personal finance. This statement was based on observing that 939 people in the sample would have given themselves a grade of A or B.
(a) Construct and interpret a 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance. (Round your answers to three decimal places.)
(,)
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B? Explain why or why not.
Because this confidence interval _____ is entirely below 0.5contains 0.5is entirely above 0.5 , the interval ______ is not consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that [tex]n = 1664, \pi = \frac{939}{1664} = 0.5643[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588[/tex]
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Veronica can hit a bucket of 144 golf balls in 2 hours. how many golf balls can Veronica hit in 5 hours
Answer:
360
Step-by-step explanation:
144/2=72
5×72=360
...........
A cylinder has radius 1.6 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth of a meter.
Answer:
11.8 meters
Step-by-step explanation: ʕ ˵• ₒ •˵ ʔ
Please solve the following problem.
Express the complex number [tex]z = 8 \text{cis} \frac{2\pi}{3}[/tex] in rectangular form [tex]a+bi[/tex].
Answer:
- 4 + 4√3 i, where a = -4 & b = 4√3
Step-by-step explanation:
z = 8 cis(2π/3)
z = 8 [cos(2π/3) + i sin(2π/3) ]
z = 8 [cos(π - π/3) + i sin(π - π/3)]
z = 8 [ - cosπ/3 + i sin(π/3)]
z = 8[ - 1/2 + i √3/2 ]
z = - 4 + 4√3 i [in a + bi form]
Note that: cis x = cosx + i sinx
Answer:
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Step-by-step explanation:
we are given [tex]\displaystyle cis(\dfrac{2\pi}{3})[/tex]
recall complex number trigonometric form:
[tex] \displaystyle \: r( \cos( \theta) + i \sin( \theta) )[/tex]
we are already given that [tex]\theta=\dfrac{2\pi}{3}[/tex]
recall complex number rectangular form
[tex] \displaystyle \: a + bi[/tex]
where [tex]\displaystyle a=r\cos(\theta)\: and\: b=r\sin(\theta)[/tex]
let's work with a:
substitute the value of [tex]\theta[/tex] and r
[tex] \displaystyle \: a = 8 \times \cos( \frac{2\pi}{ 3} ) [/tex]
recall unit circle
so [tex]\cos(\dfrac{2\pi}{3})[/tex] should be in Q:II
[tex] \displaystyle \: a = 8 \times - \frac{1}{2} [/tex]
simplify multiplication:
[tex] \displaystyle \: a = - 4[/tex]
let's work with b:
substitute the value of [tex]\theta[/tex] and r:
[tex] \displaystyle \: b = 8\sin( \frac{3\pi}{2} ) [/tex]
recall unit circle so [tex]\sin(\dfrac{3\pi}{2})[/tex] should be in Q:II
[tex] \displaystyle \: b = 8 \times \frac{ \sqrt{3} }{2} [/tex]
simplify:
[tex] \displaystyle \: b = 4 \sqrt{3} [/tex]
so
[tex] \displaystyle \: b i= 4 \sqrt{3} i[/tex]
hence,
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Solve the following system of equations using the elimination method. 2x+4y=10;-2+y=-15
Answer:
x=7, y=-1. (7, -1).
Step-by-step explanation:
2x+4y=10
-2x+y=-15
-----------------
5y=-5
y=-5/5
y=-1
2x+4(-1)=10
2x-4=10
2x=10+4
2x=14
x=14/2
x=7
There is a one-time fee of $50 to join a gym. If the monthly membership fee is $28, how much will you have spent after 3 months of your membership?
Fatema will spend more than $30 on gifts. So far, she has spent $14 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) . Write your answer as an inequality solved for c .
Answer:
c > $16
Step-by-step explanation:
Since she already spent $14 from the original $30 then the value of C would be the following inequality.
c > 30 - 14
c > 16
Therefore, the additional amount she could spend needs to be greater than $16 in order for Fatema to actually spend more than the $30 she wanted to spend on gifts in total.
Fill in the blank for x~
24=4x-4
2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O
Answer:
B. because there are too many side lengths to be a triangle