Answer:
To find the area of a circle you use the formula [tex]a=\pi r^{2}[/tex]
r is the radius so plug that in.
if you only have the diameter, just divide that number by 2 to get the radius
Which expression is equivalent to 9 p minus 3 p + 2? 8p
Answer:
6p - 2
Step-by-step explanation:
9p - (3p + 2) = 9p - 3p - 2 = 6p - 2
The expression that is equivalent to 9 p minus 3 p + 2 is 6p - 2
What is the expressionFrom the question, one have 9p - 3p + 2.
So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one have 9p - 3p.
Combining the coefficients, one get 9 - 3 = 6.
So, 9p - 3p is simplifies to 6p.
So, one have 6p + 2.
The expression is said to be now simplified to 6p + 2.
Learn more about expression from
https://brainly.com/question/1859113
#SPJ2
I NEED HELP PLEASE, THANKS. :)
Hey there! :)
Answer:
1st option.
Step-by-step explanation:
Begin by finding the vertex of the equation:
f(x) = |-x + 1|
f(x) = |-(x-1)|
The vertex of this graph is at (1, 0).
The only graph shown with an absolute value graph with
a vertex at (1, 0) is the 1st option.
what is the value of y?
please help !!
14. Suppose that 1 out of every 10,000 doctors in a certain region is infected with the SARS virus; in the same region, 20 out of every 100 people in a particular at-risk population also are infected with the virus. A test for the virus gives a positive result in 99% of those who are infected and in 1% of those who are not infected. A randomly selected doctor and a randomly selected person in the at-risk population in this region both test positive for the disease. Who is more likely to actually have the disease?
Answer:
The person in the at-risk population is much more likely to actually have the disease
Step-by-step explanation:
The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).
The probability that a doctor is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]
The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).
The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]
Therefore, the person in the at-risk population is much more likely to actually have the disease
Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 6 days, the
population stops growing and a virus cuts it in half every day for 4
days.
Organism B's population grows at the same rate but is not infected
with the virus. After 10 days, how much larger is organism B's
population than organism A's population?
Answer:
At the end of ten days, the size of population B is 256 times that of population A
Step-by-step explanation:
We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]
Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:
[tex]N_A=N_0\,(2)^t[/tex]
which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.
So at the end of 6 days, population A would have the following number of individuals:
[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]
That is 64 times the starting number of individuals.
After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:
[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]
therefore after 4 days in this pattern, this culture has the following number of organisms:
[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]
which is now just four times what the culture started with.
Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:
[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]
that is it has 1024 times the initial number of organisms.
So if we compare both populations at day 10:
[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]
Therefore, at the end of ten days, population B is 256 times the size of population A
Answer:
After 10 days, population B has grown to be 256 times the size of population A.
Step-by-step explanation:
Javier rounded to the nearest half to estimate the product of 3 and two-fifths and Negative 3 and StartFraction 7 over 8 EndFraction. How do the estimate and the actual product compare? The actual product is less than the estimate. The numbers differ by less than one. The actual product is greater than the estimate. The numbers differ by less than one. The actual product is less than the estimate. The numbers differ by more than one. The actual product is greater than the estimate. The numbers differ by more than one.
Answer:
- The actual product is less than the estimate
- The numbers differ by less than one
Step-by-step explanation:
Given
Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex]
Required
Compare actual result with approximated result
Calculating the actual result;
3 and two-fifths means [tex]3\frac{2}{5}[/tex]
So, the Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex] becomes
[tex]Product = 3\frac{2}{5} * -3\frac{7}{8}[/tex]
Convert fractions to improper
[tex]Product = \frac{17}{5} * -\frac{31}{8}[/tex]
Combine fractions to form one
[tex]Product = \frac{-17 * 31}{5 * 8}[/tex]
Multiply numerators and denominator
[tex]Product = \frac{-527}{40}[/tex]
Convert fraction to decimal
[tex]Product = -13.175[/tex]
The nearest half of -13.175 is -13
Hence;
[tex]Estimate = -13[/tex]
By comparison:-
- The actual product (-13.175) is less than the estimate (-13)
- The difference between both results is less than 1;
The difference is calculated as follows
Difference = |Actual Product - Estimate|
Difference = |-13.175 - (-13)|
Difference = |-13.175 +13|
Difference = |-0.175|
Difference = 0.175
Answer:
B
Step-by-step explanation:
The actual product is greater than the estimate. The numbers differ by less than one. took the test 2021
Value discounting refers to the fact that the percieved value of the reinforcer is less the longer you have to wait for it. See your text for review. Consider the perceived value of getting $100.00 today. Then, consider and tell me how valuable $100.00 would be for you if you got the money tomorrow, 30 days from now150 days from now, or 300 days from now. Consider the shape of discounting functions in your text when answering
Answer:
there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.
For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:
given to us in 30 days = $100 / (1 + 0.5%)¹ = $99.50given to us in 150 days = $100 / (1 + 0.5%)⁵ = $97.54given to us in 300 days = $100 / (1 + 0.5%)¹⁰ = $95.13In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017
$100 given to us tomorrow = $100 / (1 + 0.00017)¹ = $99.98since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)
$100 given to us in 30 days = $100 / (1 + 2%)¹ = $98.04$100 given to us in 150 days = $100 / (1 + 2%)⁵ = $90.57$100 given to us in 300 days = $100 / (1 + 2%)¹⁰ = $82.03as the interest rate increases, the present value decreases.
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?
Answer:
20%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Molly, Paige and Demi share 42 sweets in the ratio 3 : 2:1
Work out the number of sweets that each of them receives.
Add the ratios: 3+2+1= 6
Divide total treats by total ratio:
42/6 = 7
Now multiply each separate ratio by that:
Molly = 3x7 = 21
Paige = 2x7 = 14
Demi = 1x7 = 7
Answer:
Molly gets 21, Paige gets 14 and Demi gets 7
Step-by-step explanation:
Total = 42
Ratio = 3:2:1
Total Parts = 3+2+1 = 6
Molly:
=> [tex]\frac{3}{6}*42[/tex]
=> 3*7
=> 21 sweets
Paige:
=> [tex]\frac{2}{6}*42[/tex]
=> 2*7
=> 14 sweets
Demi:
=> [tex]\frac{1}{6}*42[/tex]
=> 7 sweets
Answer 1 of the 2 questions in this picture in the next 5 min I’ll give you a lot of points please and thank you!
Answer:
B=264 b5/34 a576 5739 7985
What is the y-intercept of the graph below?
Answer:
C
Step-by-step explanation:
The y-intercept is where the line passes through the y-axis
On this graph, we can see this is at the point (0, 2)
Answer:
(0,2)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The graph crosses at y=2
(0,2)
A bakery's production is modeled by function f(x), where f(x) is the number of donuts made in a day and x is the number of bags of flour needed. Choose the ordered pair that represents a possible domain and range of the function.
(−1, 15)
(5, 92.75)
(10, 100)
(−5, 110.5)
Which of the following are like radicals? Check all of the boxes that apply.
Answer:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Step-by-step explanation:
Data obtained from the question include:
3x√x²y, –12x√x²y, –2x√xy², x√yx²,
–x√x²y², 2√x²y
Like radical in this case talks about those havin the same entity in the square root.
With a careful consideration of the data obtained from the question, the like radicals are:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:
A) [tex]3x\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
B) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
C) [tex]-2x\sqrt{xy^2}[/tex]
This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.
D) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
E) [tex]-x\sqrt{x^2y^2}[/tex]
This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.
F) [tex]2\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
So, the correct options are A), B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/16181471
What is the factorization of 729x15 + 1000?
Answer:
A
Step-by-step explanation:
What is the value of x? 10 PTS
Answer:
X=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)
Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]
This means the value of x must be 4
in ABC what is the measure of angle B
PLEASE BE FAST
46°
48°
70°
92•
The answer is D. H=68 :) Hope this helps
Answer:
d) 68
Step-by-step explanation:
you have to divide 48 and then add
hope this helps
i know its vauge
find the vertex of this function and decide if it is a maximum or a minimum point.
Answer: maximum point at (-3, 2)
Step-by-step explanation:
The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.
Find the area of the circle.
Use 3.14 for pi
Answer:
A =153.86 cm^2
Step-by-step explanation:
The diameter is 14 so the radius is d/2 = 14/2 = 7
A = pi r^2
A = (3.14) (7)^2
A =153.86 cm^2
Answer:
Step-by-step explanation:
First you take the diameter and cut it in half to find the radius. 14/2 = 7
Next you times the radius to the power of 2. 7^2= 49
Then you times your answer by 3.14. 49*3.14 = 153.86
153.86cm² is your answer
1. Calculate the area of a major segment whose chord subtends angle of 85 at the centre of a circle of radius 3cm. 2. A solid cone has a base radius of 3cm and a vertical height of 21cm. Calculate its volume.
Answer:
2.193 and
Step-by-step explanation:
Area of Segment = πr²θ/360 -½r²sinθ
=π*3²*85/360-½*r²sin85
= 2.193cm²
volume of cone= ⅓πr²h
=⅓*π*3²*21
=198 cm³
Please find <TQU in the question above
Answer:
<TQU = 72°
Step-by-step explanation:
<WQT = 60°
=> <WQT = <UYX (corresponding angles)
=> <UYX = <YUV (alternate angles)
=> <YUV = <UQR (corresponding angles)
So, <UQR = 60°
Now,
<PQT+<TQU+<UQR = 180° (angles on a straight line add up to 180°)
48° + <TQU + 60° = 180°
<TQU + 108 = 180
Subtracting 108 from both sides
<TQU = 180-108
<TQU = 72°
Shelly biked 21 miles in 4 hours. What is shelly's average speak in miles per hour? What is shelly's average speed in miles per hour?
Answer:
5 1/4 mph
Step-by-step explanation:
21 divided by 4= 5 1/4
Answer:
Average Speed = 5.25 mph
Step-by-step explanation:
Given:
Distance = 21 miles
Time = 4 hours
Required:
Average Speed
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
Average Speed = 21/4
Average Speed = 5.25 mph
Tomas bought 3 software apps and 2 e-books for a total of $21. The two e-books cost $12. If s represents the cost of each app, the total cost of all 5 items is represented by 3 s + 12 = 21. Which statement about verifying the solution for s is true?
Answer:
s = 3
Step-by-step explanation:
First compute the cost of the three apps:
21-12=9
The cost of the three apps is $9 then.
Since s is the price of the apps, we deduce the equation:
3s=9
/3
s = 3
Answer: B is the answer
Step-by-step explanation: I took the quiz on edgunity
Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.
Answer:
A, B and D
Step-by-step explanation:
Which equations have the same solution as [tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x[/tex]
A. 8/5x + 2/3 = 1/2 – 1/5x
B. 18x + 20 + 30x = 15 – 6x
C. 18x + 20 + x = 15 – 6x
D. 24x + 30x = –5
E. 12x + 30x = –5
To find the equations with the same solution, we have to solve or x and determine if the value of x is the same for the remaining options.
[tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x\\multipying \ through \ by \ 30:\\18x + 20+30x=15-6x\\collecting\ like\ terms:\\18x+30x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A)
[tex]\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x\\ multipying\ through\ by \ 30\ gives:\\48x+20=15-6x\\48x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
A has the same solution
B)
[tex]18x+20+30x=15-6x\\18x+30x+6=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]
B has the same solution
C)
[tex]18x+20+x=15-6x\\18x+x+6x=15-20\\25x=-5\\x=\frac{-1}{5}[/tex]
C do not have the same solution
D)
[tex]24x+30x=-5\\54x=-5\\x=\frac{-5}{54}[/tex]
D has the same solution
E)
[tex]12x+30x=-5\\42x=-5\\x=\frac{-5}{42\\}[/tex]
E do not have the same solution
In how many ways can the letters in a word spoon be arranged?
Line WZ and Line XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?
Answer choice:
A) 355
B) 5
C) 292
D) 243
Answer:
d 243
Step-by-step explanation:
finished the test ^^
Peter attempted to use the divide-center method to find the line of best fit on a scatterplot what was his mistake
Answer:
The dotted line does not divide the data in two as the left and right side have an unequal, odd number of points 3 and 5 respectively
Step-by-step explanation:
The steps to follow in the divide the center method includes
1) Plot data
2) A dotted line is then drawn that divides the data in two, such that each side has an even number count of points
3) Mark the center of the data on each side of the dotted line as x
4) Draw a straight line through the x marks to extend to the plot area edges
5) The line drawn is the line of best fit.
Answer:
I think maybe b! but I'm not sure
7^8 ÷ 7^y = 7^6 Find the value of y
Answer:
[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]
Step-by-step explanation:
We need to solve the following
[tex]\dfrac{7^8}{7^y}=7^6[/tex]
that we can write
[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]
so the answer is 2
Answer:
[tex]y=2[/tex]
Step-by-step explanation:
[tex]7^8 \div 7^y = 7^6[/tex]
Apply the law of exponents.
[tex]7^{8-y}= 7^6[/tex]
Cancel the same bases.
[tex]8-y=6[/tex]
Subtract 8 on both sides.
[tex]-y=6-8[/tex]
[tex]-y=-2[/tex]
Cancel negative signs.
[tex]y=2[/tex]
Decode the addition or subtraction problem (Change asterisks to digits, to make the operations correct.) 6*5* − *8*4=2856
Answer:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Step-by-step explanation:
[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
10-4=6Therefore the last digit of 6*5* is 0.
[(5-1)+10]-5=98+8+1=176-(1+2)=3Therefore:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. 1. Calculate the time taken by the train to cover this distance.
Answer:
0.33 hours or 20 minutes
Step-by-step explanation:
Speed is given as distance divided by time.
That is:
s = d / t
Therefore, time will be:
t = d / s
The train traveled a distance of 40 km at 120 km/h. Therefore, the time taken will be:
t = 40/120 = 0.33 hours or 20 minutes
PLEASE SOMEONE BE A LEGEND AND ANSWER THIS QUESTION ASAP!!!!!!!
Answer:
[tex]a=2[/tex]
Step-by-step explanation:
[tex]f\left(x\right)=x^3+2x^2-7x+a\\\\x-2=0\quad\rightarrow \quad x=2\\\\f(2)=2^3+2\cdot \:2^2-7\cdot \:2+a\\\\4=2^3+2\cdot 2^2-7\cdot 2+a\\\\\Rightarrow a=2[/tex]
Best Regards!