Answer:
192
Step-by-step explanation:
As given Ratio=2, a=6
tn=ar^n-1
t6=6.(2)^5
t6=6.32
t6=192
A box of 12 tacos costs $9.96. At this rate, how much does one taco cost?
Answer:
0.83
9.96 divided by 12 is that
10,20,40,80... find the common ratio for the geometric sequence
Answer:
2
Step-by-step explanation:
So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.
So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.
Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.
So, we can conclude that the answer is 2.
Answer:
I think the common ratio is 20
Step-by-step explanation:
Each number is 20 times the previous number, so the Common Ratio would have to be 10
a sample of radioactive isotope had an initial mass of 800 mg in the year 2000 and decays exponentially better over time. a measurement in the year 2005 found that the sample’s mass had decayed to 190 mg. what would be the expected mass of the sample in the year 2009, to the nearest whole number?
Answer:
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
Step-by-step explanation:
The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.
[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.
[tex]t[/tex] - Time, in years.
[tex]\tau[/tex] - Time constant, in years.
First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):
[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:
[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]
[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]
[tex]\tau \approx 3.478\,y[/tex]
Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]
[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]
[tex]m(9\,y) \approx 60.155\,mg[/tex]
The expected mass of the sample in the year 2009 is approximately 60 miligrams.
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
Find the measure of angle B
I answered the question 3x-y=5 but is there a different way to answer this?
My answer:
I switched the y with the 3x
3x=y+5
Then I subtracted by 5
y=3x-5
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer and Step-by-step explanation:
Yes (technically), there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.
Here is how you would explain it:
What you would do is Add y to both sides, then subtract 5 from both sides.
3x = y + 5
3x - 5 = y (aka y = 3x - 5)
The other way to solve:
3x - y = 5
Subtract 3x from both sides.
-y = -3x + 5
Now divide both sides by -1.
-1(-y) = -1(-3x + 5)
y = 3x - 5
If you want to solve for x, you would:
Add y to both sides of the equation.
3x = 5 + y
Then divide each side by 3.
x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]
#teamtrees #PAW (Plant And Water)
Whoever gets this corrects gets brainliest!!!
Answer:
i would say true
Step-by-step explanation:
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm
0 7 cm and 2 cm
• 8 cm and 9 cm
sorry I tried to find out the correct answer but because of one mistake I can't remember
If the children were to share the juice equally, how much would each child get? Show your work.
Answer:
you are missing part of the question
Step-by-step explanation:
Tim and Jenna are surveying their classmates about their summer reading. Their questions are given below: Tim: Which author was promoted by the book reading club this month? Jenna: How many books that you read during the summer break would you recommend to your friends? Who wrote a statistical question and why? (1 point)
A. Tim, because there can be only one answer to the question
B. Jenna, because there can be many answers to the question
C. Tim, because there will be variability in the responses collected
D. Jenna, because every student will give the same answer
Answer:
b
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
I need help with letter B, find the area
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
10.5+7.25π units²
21+7.25π units²
10.5+14.5π units²
21+14.5π units²
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.
Answer:
A) 10.5+7.25[tex]\pi[/tex]units²
Step-by-step explanation:
This can be divided into a semicircle and a right triangle.
The area of the right triangle is (1/2)(7)(3)= 10.5
the radius of the semicircle is
[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]
[tex]r=(1/2)(\sqrt{58}[/tex]
[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]
[tex]A=58\pi /8[/tex]
[tex]A=7.25\pi[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
An employee compiled sales data for a company once each
month. The scatter plot below shows the sales (in multiples of
$1000) for the company over time (in months). The equation
represents the linear model for this data.
50
45
40
Sales ($1000)
35
30
y = 0.94x + 12.5
25+
20+
++
15
10
According to the model, what will the company's sales be after
40 months?
5
o
Answer:
well if you think about it the answer you see is in the points
Step-by-step explanation:
and the data comes from the scatterplot so try to see it and remember to chose b or c ok
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
30 is the volume
Step-by-step explanation:
Multiple 6x5 to get your answer
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?
Answer:
8 minutes and 53 seconds
Answer:
8 minutes and 56 secondsStep-by-step explanation:
3 laps ⇒ 3 minutes and 21 seconds given1 lap ⇒ 1 minute and 7 laps divide by 3 8 laps ⇒ 8 minutes and 56 seconds multiply by 8Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
simplify
25x-16y-25x+16y
Answer:
Step-by-step explanation:
25x-16y-25x+16y
-16y and 16y cancels out
25x-25x
25x and -25x cancels out too
This means the answer is 0
The price of a bowl of plain pho is 6$. With 4 ingredients added, the total is 8$. Find the price of each ingredient
Answer:
0.5
Step-by-step explanation:
6+ 4x = 8
or, 4x = 8-6
or, 4x = 2
x = 0.5
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
m 1 hexagon and 6 rectangles
2 pentagons and 5 triangles
6 rectangles, none of which are squares
4 squares and two rectangles that are not squares
4 triangles, only 3 of which are congruent triangles
Answer:
Step-by-step explanation:
6 rectangles.
2 act as the top and bottom
The other 4 are all the same height The length of 2 of the other 4 are the same as the length of the top and bottom.The width of 2 of the other 4 are the same as the width of the top and bottom.The height must be the same for all 4 of the rectangles.Answer:
C and D
..............................
Step-by-step explanation:
correct
plss help i’ll give brainliest thank you!
Answer:
d
Step-by-step explanation:
in c greatest common factor is 8
But in D
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2, 4, 5, 10, 20
Look only 4 is GCF
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
Find the volume of the square pyramid.
Answer:
243 ft³
Step-by-step explanation:
V = [tex]\frac{1}{3}[/tex]Bh
A = 9 x 9 = 81
81 x 9 = 729
729 / 3 = 243
When you see [tex]\frac{1}{3}[/tex] in a math formula, it means to divide by 3.
For example, when you are trying to find the volume of a pyramid or cone you will see [tex]\frac{1}{3}[/tex] in the formula.
Let me know if this helps!
Answer:
729 ft³
Step-by-step explanation:
I found this answer by something I learned. All you have to do is multiply the 3 numbers of the square pyramid.
9 x 9 x 9 = 729 ft³
In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that the test statistic (z) was $-1.53. We would like to test whether or not the average room price is significantly different from $110. Population standard deviation is known to us. Compute the p-value.
Answer:
Pvalue = 0.063008
Step-by-step explanation:
Given :
Sample size, n = 63
The test statistic = - 1.53
To test if average room price is significantly different from $110 ; μ = $110
H0 : μ = 110
H1 : μ < 110
From the test statistic value obtained, we could see that the test is left tailed
The Pvalue :
P(Z < - 1.53) = 0.063008
If the claim is to be tested at 5% level of confidence then
Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110
The number of students at a particular school who have the flu is increasing at a rate of 12% per day. If at the beginning of monday there were 56 students with the flu, then which of the following is closest to the number of students who have the flu on friday morning?
Answer:
88
Step-by-step explanation:
MATH
The number of students who have the flu on Friday morning will be;
⇒ 83
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
At the beginning of Monday there were 56 students with the flu,
Now,
Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.
Hence, The percent of increasing rate on Friday morning = 4 x 12%
= 48%
Thus, The number of students who have the flu on Friday morning is,
⇒ 56 + 48% of 56
⇒ 56 + 48 × 56 / 100
⇒ 56 + 26.88
⇒ 82.88
Thus, The number of students who have the flu on Friday morning will be;
⇒ 83
Learn more about the percent visit:
https://brainly.com/question/24877689
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