Answer:
The graph of y=log(x)+4 is the graph of y=log(x) translated 4 units up.
Step-by-step explanation:
The translation ...
y = log(x -h) +k
translates the log function right h units and up k units.
The only description matching the equation is ...
The graph of y = log(x)+4 is the graph of y = log(x) translated 4 units up.
Answer:
The graph of y = log(x)+4 is the graph of y = log(x) translated 4 units up.
Step-by-step explanation:
Marvin and Ruby had the same number of stickers. After Marvin gave 12 stickers to Ruby, Ruby had 4 times as many as Marvin. How many stickers did Ruby have in the beginning?
Answer:
20 Tickets
Step-by-step explanation:
Given
Marvin and Ruby had the same number of stickers.
Let
no. of tickets with Ruby = No. of tickets with Marvin = x
condition
Marvin gave 12 ticket to Ruby
Now\
no. of tickets with Ruby = x+12
No. of tickets with Marvin = x-12
Ruby had 4 times as many as Marvin
Thus,
no. of tickets with Ruby = 4* No. of tickets with Marvin
x+12= 4(x-12) = 4x-48
x+12 = 4x-48
adding 48 both sides
x+12 +48= 4x-48+48
x+60 = 4x
subtracting 4 from both sides
x+60 -x= 4x -x
60 = 3x
dividing both side by 3
60/3 = 3x/3
x = 20
Thus, Ruby had 20 tickets in the beginning.
If you shifted y=3x+6 five units to the right, what would the linear equation be? (Hopefully it's challenging and easy at the same time.)
Answer:
[tex]3x + 6 = y \\ 3x = y - 6 \\ \frac{3x}{3} = \frac{y - 6}{3} \\ x = \frac{y - 6}{3} \\ x = \frac{y}{ 3 } - 2[/tex]
Answer:
y = 3x - 9
Step-by-step explanation:
y = 3x + 6 is a linear equation.
Shift the equation 5 units to the right.
The linear equation becomes:
y = 3x - 9
I NEED HELP PLEASE, THANKS! :)
As you know, a parallelogram's area is calculated by multiplying the length of it's sides, so all we are being asked to do is find the product of u and v -
[tex]( - 4i - 9j + k )( - 6i + j + 5k ),\\[/tex]
You would apply cross products in order to determine u * v. Doing so, you would get a solution of -46i + 14j - 58k.
Now we can take the magnitude of this vector -
u * v = √( - 46 )^2 + ( 14 )^2 - ( 58 )^2,
u * v = ( About ) 75.3 square units,
Solution = Option A
Find the missing side and round the answer to the nearest tenth. Thanks.
Answer:
22.2
Step-by-step explanation:
The missing side is x
cos19° = 21/x switch x and cos19° x = 21/cos 19°x = 22.21≈ 22.2
g Determine whether the statement is true or false. If fx(a, b) and fy(a, b) both exist, then f is differentiable at (a, b). True False Correct: Your answer is correct.
Answer:
False
Step-by-step explanation:
A function is said to be differentiable over a given region if the function is continuous and has only one value for each input.
Therefore in order to conclude that f is differentiable at (a, b), the partial derivatives must be continuous at (a, b).
It is true that the function has to be defined over a given region because without it, you cannot determine if a partial derivative is continuous or otherwise.
But the fact that the partial derivatives exist at a point is not a sufficient condition for continuity.
Write the equation of each line in slope intercept form (If possible please show work)
Hope it make sense now :)
Please answer this correctly
Answer:
Dependent
Step-by-step explanation:
Madelyn needs to base her move off Bryant, meaning the two events are dependent.
I'm pretty sure it would be dependent, but thats just me.
The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these
atomic weights?
Review My Answers
Save & EVE
No. Atomic Weight Name 48112411 2040078 98251000
Cadmium cd Calcium Ca Californium Cf Carbon Cerium Ce Cesium Cs Chlorine C Chromium Cr Cobalt Co Copper Cu Curium Cm
6 12.011 58140116 55132906 1735453 2451996 2758933 2963546 96 *247.00
A. 215.547
B. 238.989
C. 234.989
D. 134.589
The Answer is 2
34.989.I used a physics book
As a prize for winning a contest, the contestant is blindfolded and allowed to draw 3 dollar bills one at a time out of an urn. The urn contains forty $1 bills and ten $100 bills. The urn is churned before each selection so that the selection would be at random. What is the probability that none of the $100 bills are selected
Answer:
The probability that none of the $100 bills are selected is 79.6%.
Step-by-step explanation:
The urn contains forty $1 bills and ten $100 bills. This gives a total of 50 bills in the urn.
To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.
And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection = 80% (40/50 x 100).
The probability of selecting a $1 bill the second time = 79.6% (39/49).
The probability of selecting a $1 bill the third time = 79.2% (38/48).
The sum of the probabilities divided by 3 = 79.6% (238.8/3)
b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.
Which student solved the equation 107d=1733.4 correctly?
Answer:
b correct me if i am wrong probably am
Step-by-step explanation:
Which statement explains if a dilation was applied? A dilation was applied to the fabric because the width of the fabric was preserved. A dilation was applied to the fabric because the angle measures were preserved. A dilation was not applied to the fabric because the angle measures are the same. A dilation was not applied to the fabric because the length was changed, not the width.
Answer:
A dilation was not applied to the fabric because the length was changed, not the width.
Step-by-step explanation: B was not the answer it was D.
Answer:
D.
Step-by-step explanation:
Edge 2022.
A circuit contains two capacitors rated at 0.02 microfrads and 0.05 microfrads connected in series the circuits Source voltage is 30vac what is the circuits total capacity
Answer:
about 0.0143 microfarads
Step-by-step explanation:
The effective capacitance of capacitors in series is the reciprocal of the sum of their reciprocals:
1/(1/0.02 +1/0.05) = 1/(50+20) = 1/70 ≈ 0.0143 . . . microfarads
A researcher wishes to see if the average number of sick days a worker takes per year is less than 5. A random sample of 30 workers at a large department store had a mean of 4.8. The standard deviation of the population is 1.2 days. Is there enough evidence to support the claim at alpha = 0.01?
Answer:
No. At a significance level of 0.01, there is not enough evidence to support the claim that the average number of sick days a worker takes per year is significantly less than 5.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average number of sick days a worker takes per year is significantly less than 5.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=5\\\\H_a:\mu< 5[/tex]
The significance level is 0.01.
The sample has a size n=30.
The sample mean is M=4.8.
The standard deviation of the population is known and has a value of σ=1.2.
We can calculate the standard error as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.2}{\sqrt{30}}=0.219[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{4.8-5}{0.219}=\dfrac{-0.2}{0.219}=-0.913[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z<-0.913)=0.181[/tex]
As the P-value (0.181) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a significance level of 0.01, there is not enough evidence to support the claim that the average number of sick days a worker takes per year is significantly less than 5.
Using the z-distribution, it is found that since the test statistic is greater then the critical value for the left-tailed test, this is not enough evidence to support the claim at [tex]\alpja = 0.01[/tex].
At the null hypothesis, it is tested if the number of sick days is of at least 5, that is:
[tex]H_0: \mu \geq 5[/tex]
At the alternative hypothesis, we test if it is less than 5, that is:
[tex]H_1: \mu < 5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 4.8, \mu = 5, \sigma = 1.2, n = 30[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{4.8 - 5}{\frac{1.2}{\sqrt{30}}}[/tex]
[tex]z = -0.91[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.01 is of [tex]z^{-\ast} = -2.327[/tex].
Since the test statistic is greater then the critical value for the left-tailed test, this is not enough evidence to support the claim at [tex]\alpja = 0.01[/tex].
A similar problem is given at https://brainly.com/question/16194574
Lindsey made an error while solving this equation. 143.5 = 2 - (7(x+3). What line has the error?
(Refer to image)
A: Step 1
B: Step 2
C: Step 3
D: Step 4
Answer:
Step 1
Step-by-step explanation:
She didn't distribute the negative while she distributed 7. It should be -7x - 21, not 7x - 21.
A random sample of adult drivers was obtained where 52% were men and 46% were women. Note that everyone is not classified as a man or a women. A survey showed that 65% of the drivers rely on GPS systems. 30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS. Suppose a person included in this survey is randomly selected.
a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places.b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.
Answer:
a) P(G | M) = 0.577
b) P(W | G) = 0.523
c) P(M and G') = 0.220
d) P(M or G) = 0.870
e) P(G') = 0.350
Step-by-step explanation:
A random sample of adult drivers was obtained where 52% were men and 46% were women.
P(M) = 0.52
P(W) = 0.46
A survey showed that 65% of the drivers rely on GPS systems.
P(G) = 0.65
30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS.
P(M and G) = 0.30
P(W and G) = 0.34
a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places
P(G | M) = ?
Recall that conditional probability is given by
∵ P(B | A) = P(A and B)/P(A)
For the given case,
P(G | M) = P(M and G)/P(M)
P(G | M) = 0.30/0.52
P(G | M) = 0.577
b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.
P(W | G) = ?
Recall that conditional probability is given by
∵ P(B | A) = P(A and B)/P(A)
For the given case,
P(W | G) = P(W and G)/P(G)
P(W | G) = 0.34/0.65
P(W | G) = 0.523
c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.
P(M and G') = ?
Where G' means does not rely on a GPS system
P(M and G') = P(M) - P(M and G)
P(M and G') = 0.52 - 0.30
P(M and G') = 0.220
d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.
P(M or G) = ?
Using the addition rule of probability,
∵ P(A or B) = P(A) + P(B) - P(A and B)
For the given case,
P(M or G) = P(M) + P(G) - P(M and G)
P(M or G) = 0.52 + 0.65 - 0.30
P(M or G) = 0.870
e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.
P(G') = ?
P(G') = 1 - P(G)
P(G') = 1 - 0.65
P(G') = 0.350
Create an equivalent system of equations using the sum of the system and the first equation.
-3x + y = 12
x + 3y = 6
Answer: -3x + y = 12
-2x + 4y = 18
Step-by-step explanation:
-3x + y = 12
+ x + 3y = 6
-2x + 4y = 18
System of equations is:
-3x + y = 12
-2x + 4y = 18
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
Answer:
a = 10
Step-by-step explanation:
From the solution given, x = a and y = -1
Substitute for x and y in either of the equations
y = -x + 9
-1 = -a + 9
a = 9 + 1 = 10
Answer:
Answer is 10
Step-by-step explanation:
Since the graphe cross only at one point there is only one solution for the equation.
Can I get brianliest plz.
Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0 são:
A) 1/2 e 1/5
B) 1/2 e 2/5
C) 1/7 e 1/3
D) 1/5 e 1/3
E) 2/5 e 1/7
Answer:
D) 1/5 e 1/3
Step-by-step explanation:
You have the following quadratic equation:
[tex]15x^2-kx+1=0[/tex] (1)
In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:
[tex]2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8[/tex]
Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:
[tex]15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}[/tex]
Then, the roots of the equation (1) are
D) 1/5 e 1/3
A number cubed is rolled. What is the probability that a one or six will be rolled
Answer: 1/3
Step-by-step explanation: Since there are six sides to a number cube, the total number of outcomes will be 6.
Since there are 2 favorable outcomes, rolling a 1 or a 6,
the probability of rolling a 1 or a 6 is 2/6 which reduces to 1/3.
Answer:
1/3
Step-by-step explanation:
A cube by default has 6 sides, and a number cube generally is tallied from 1 - 6 (being the numbers are 1, 2, 3, 4, 5, 6).
You are solving for the probability of the numbers 1 or 6 being rolled, which are 2 numbers of the given amount. Change into a fraction form by placing part over the total amount of numbers:
2/6
Most likely, you will be told to simplify. Divide common factors from both the numerator & denominator:
(2/6)/(2/2) = 1/3
1/3 is the probability that a 1 or a 6 is rolled in a standard number cube.
~
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname If more than one surname begins with a letter besides A and O, how may surnames begin with that letter?
Step-by-step explanation:
40children - 23 (with A, O) = 17left
26 letter in alphabet- ( A, O) = 24 letter left
24 letters left - 14 (not used for 1st letters) = 10
10 letters left to use/ 17 children left
10÷17 = 0.5882352941 x 10 =5.8 or as close to 6 I can get
There are six surnames that start with each letter other than A and O when more than one surname does.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, The surnames of 40 children in a class are arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A.
Since, 14, of the letters of the alphabet do not appear as the first letter of a surname
14 of the letters of the alphabet do not appear as the first letter of the surname
∴ the no. of letters that appeared = 26-14 = 12 alphabets
15 surnames begin with 10 letters beside O and A
∴ 6 surnames begin with a letter
Therefore, If more than one surname begins with a letter besides A and O, 6 surnames begin with that letter.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
#SPJ2
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is y−x
Answer:
-0.7
Step-by-step explanation:
[tex]x-y=0.7[/tex]
You can choose any digits you wish for [tex]x[/tex] and [tex]y[/tex] but the difference must be 0.7. I chose 1.0 and 0.3.
[tex]x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7[/tex]
n a survey from 1998, 449 teenagers were surveyed about the music that they listen to. Of these teenagers, 129 of them said that their favorite genre of music is hip-hop. In a similar survey from 2008, 176 of 509 teenagers surveyed said that their favorite genre is hip-hop. Use a two-proportion hypothesis test to determine whether the proportion of teenagers whose favorite genre of music is hip-hop has changed from 1998 to 2008. Assume that the samples are random and independent. Use α=0.01. Let the sample from 1998 correspond to sample 1 and the other to sample 2. (a) Which answer choice shows the correct null and alternative hypotheses for this test?
Answer:
We accept H₀
Step-by-step explanation:
To compare two proportion:
proportion 1. 1998
n₁ = 449
p₁ = 129/449 p₁ = 0,2873
proportion 2. 2008
n₂ = 509
p₂ = 176/509 p₂ = 0,3457
Test hypothesis
Null Hypothesis H₀ p₂ - p₁ = 0
Alternative Hypothesis Hₐ p₂ > p₁
We have a one tail test ( to the right)
As α = 0,01 we find in z-table the z score z = 2,29 ( approximation for 0,011)
To calculate z(s),
z(s) = ( p₂ - p₁ ) /√ p*q ( 1/n₁ + 1/n₂)
p = ( x₁ + x₂ ) / n₁ + n₂
p = 129 + 176 / 449 +509
p = 0,3184 and q = 1 - p q = 0,6816
1/n₁ + 1/n₂ = 1/ 449 + 1 / 509 = 0,00222 + 0,001964
1/n₁ + 1/n₂ = 0,004184
z(s) = 0,0584/ √(0,3184*0,6816)*0,004184
z(s) = 0,0584/ 0,03013
z(s) = 1,938
z(s) < z(c) 1,938 < 2,29
z(s) is in the acceptance region we accept H₀ at α = 0,01
Find the circumference and the area of a circle with diameter 8 yd.
Use the value 3.14 for, and do not round your answers.
I need the area and circumference!!
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
================================================
Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
-------------------
A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
Answer:
25.12 and 50.24
Step-by-step explanation:
8/2=4
4= radius
8= diameter
3.14*8=25.12
This would be the circumfrence (25.12)
3.14*4^2
3.14*16
50.24
This would be the area (50.24)
Hope this helps!
Solve the equation: x(x+3)(x+3)=0
Answer:
X = 0, x = -3
Step-by-step explanation:
You have to cancel everything and -3 =3 is 0 and that would make the entire right side zero. If you have x as 0 the first 0 will multiply with everything making everything zero.
[tex]\text{Find the value of the x's}\\\\x(x+3)(x+3)=0\\\\\text{We know that the x outside of the parenthesis would equal 0}\\\\\text{In order to find the value of the other x's, we must solve by equaling}\\\text{them to 0}\\\\x+3=0\\\\\text{Subtract 3 from both sides}\\\\x=-3\\\\\text{Since there are two of them, you would have two answers as -3}\\\\\boxed{\text{x = 0, or x = -3, or x = -3}}[/tex]
PLEASE HELP!!(PIC INCLUDED)
Which of the following steps were applied to ABCD to obtain A'B'C'D?
A. shifted 3 units right and 2 units down
B. shifted 4 units right and 2 units down
C. shifted 2 units right and 3 units down
D. shifted 3 units right and 1 unit down
Answer:
A. Shifted 3 unit right and 2 unit down
Step-by-step explanation:
Let's determine the reason for the answer.
We will use a reference point, only one point to determine the reason.
Because the both shape are identical.
Let's use point A
The position of A is 2 on the y axis and 1 on the x axis
While the position of A' is 0 on the y axis and 4 on the X asis
Let's know how many units where moved from the position.
A' -A
For X axis
4-1= 3
For y axis
0-2= 2(we need only the magnitude)
So its 2 units Down and 3 unit right
Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to the population (a) Express the last sentence in the language of calculus. (b) Solve for P(t) in the equation you found in part (a) (c) Suppose the net birthrate of the population is .1, and the initial population is 100. (i) Find the population at time t 10.(ii) Find when the population is 1000.
Answer:
[tex](a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}[/tex]
(c)[tex]P(10)\approx 272[/tex]
(ii)[tex]P(1000)\approx 26.88 \times 10^{44}\\[/tex]
Step-by-step explanation:
(a)The rate of growth of the population is proportional to the population, this is written as:
[tex]\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)[/tex]
(b)
[tex]\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}[/tex]
(c)
Suppose the net birthrate of the population is .1, and the initial population is 100.
k=0.1
P(0)=100
Substitution into P(t) gives:
[tex]100=Ce^{kX0}[/tex]
C=100
Therefore:
[tex]P(t)=100e^{0.1t}[/tex]
(i)When t=10
[tex]P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272[/tex]
(ii)When t=1000
[tex]P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\[/tex]
Use the stem-and-leaf plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry? Key: 2 | 6 equals 26 2 6 3 2 4 1 2 2 5 6 6 8 5 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9 6 8 8 8 7 3 8 8 8 3
Answer:
The minimum data entry is, 26.
The maximum data entry is, 83.
Step-by-step explanation:
The stem-and-leaf plot provided is:
2 | 6
3 | 2
4 | 1 2 2 5 6 6 8
5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9
6 | 8 8 8
7 | 3 8 8
8 | 3
As it is mentioned that 2 | 6 equals 26, the data is:
S = {26, 32, 41, 42, 42, 56, 56, 68, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 83}
The data is arranged in ascending order.
The minimum data entry is, 26.
The maximum data entry is, 83.
If a carton contains 6 eggs, how many eggs are there in 13 cartons? would it be 6x13?? which is equal to 78 I'm not sure.
Answer:
78 eggs
Step-by-step explanation:
13 × 6 = 78 eggs
Hope this helps! :)
Answer:
Yes it would be 6x13=78
Step-by-step explanation:
cross multiplication and divide:
1 cartoon = 6 eggs
13 cartoons = x
An online wholesaler sells buttons in bulk quantities. If you buy 50 buttons or less, they cost $1.00 each. If you buy more than 50 buttons, but less than 100 100 buttons, they cost $0.80 each. If you buy 100 or more, they cost $0.55 each. Which graph represents the cost per button based on the number of buttons purchased?
Answer:
2nd picture, rightmost graph.
Step-by-step explanation:
This is sorta like an inequality expression. If the dot is filled in, it adds an "equal to", but if it is not filled in, then it has to be either greater than or less than.
Based off that logic, you can eliminate the first picture options since they are all filled in or not, yet the problem says "if you buy 50 buttons or less" which basically means: button less than or equal to which is important. Now, onto the second picture. You can eliminate the leftmost graph since the blank dot at the fifty is supposed to be filled, since the problem said if you buy fifty or less buttons, which is supposed to cost $50, but the dark dot is filled in the wrong place.
Anyways, I hope this explanation wasn't too confusing. If so, feel free to comment back and say what stuff you didn't get.
Given: a concave polygon Conjecture: It can be regular or irregular
Answer:
[tex]false[/tex]Step-by-step explanation:
A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..