9514 1404 393
Answer:
\(f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.\)
Step-by-step explanation:
We observe that the left line segment has a rise of 3 for each run of 1. Its slope is ...
m = rise/run = 3/1 = 3
It goes through point (-2, 4), so its equation can be written ...
y = m(x -h) +k . . . . line with slope m through (h, k)
y = 3(x +2) +4 . . . . fill in known values
y = 3x +10 . . . . . . . simplify — equation of left line
__
The right segment has a rise of 2 for each run of 1. Its slope is ...
m = 2/1 = 2
Then the equation of the line through point (4, 1) is ...
y = 2(x -4) +1
y = 2x -7
__
Taking into account solid and open circles, the equation for the function is ...
\(f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.\)
A population of protozoa develops with a constant relative growth rate of 0.7781 per member per day. On day zero the population consists of six members. Find the population size after four days. (Round your answer to the nearest whole number.) P(4)
Answer:
\( P(t) = A (1+r)^t \)
Where P represent the population after t days. a the initial amount on this case 6 and r the growth factor rate of 0.7781. so then our model would be given by:
\( P(t)= 6(1.7781)^t \)
And replacing t=4 we got:
\( P(4) = 6(1.7781)^4 =59.975 \approx 60\)
So then after 4 days we would expect about 60 protzoa
Step-by-step explanation:
For this case we can use the following function to model the population of protzoa:
\( P(t) = A (1+r)^t \)
Where P represent the population after t days. a the initial amount on this case 6 and r the growth factor rate of 0.7781. so then our model would be given by:
\( P(t)= 6(1.7781)^t \)
And replacing t=4 we got:
\( P(4) = 6(1.7781)^4 =59.975 \approx 60\)
So then after 4 days we would expect about 60 protzoa
Help pleaseeeeeeeeeeeeeeeee
Answer: 0.92 feet (choice B)
You're close but not quite there. To get the answer, you divide 29.44 over 32
If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.
Answer:
B: 0.92
Step-by-step explanation:
Divide the banner length by the amount of students
\(\frac{29.44}{32}\)
Resuelve el siguiente ejercicios de porcentaje:
¿32 representa el 64% de qué número?
Answer:
50
Step-by-step explanation:
32/0.64 = 50
A shirt and a tie together cost $58 the shirt cost $30 more than the type what is the cost of the shirt and dollars
Answer:
Shirt + tie = $ 58
shirth = 30 more than that of tie
let the price of tie be X
therefore the price of shirt = 30 + X
30 + X + X = 58
30 + 2x = 58
2x = 58 - 30
2x= 28
x = 14
x + 30
= 14 + 30
Cost of tie = $14 Cost of shirt = $44315 points)
What is the slope of a line parallel to y =-1/2x+6
A) 1/2
B) 2
C) -1/2
D) -2
Answer:
The slope is -1/2
Step-by-step explanation:
The Y-intercept is (0,6)
It is generally believed that the mean value of the district's total SAT score distribution is equal to 1200 (the null hypothesis). The principal from one of the schools claims that the mean value of the district's total SAT score distribution is not 1200. Perform the appropriate test with a 5% margin of error. What is the corresponding p-value?
Answer:
The corresponding p-value, is p = 1
Step-by-step explanation:
The maximum score SAT score, n = 1,600
The mean of the district's total SAT score distribution = 1,200
The claim of one of the districts principal, is the that mean of the district's total SAT score distribution ≠ 1,200
Using proportions, we have;
p = 1,200/1,600 = 0.75
q = 1 - p = 0.25
The margin of error, E = Z√(p·q/n)
∴ E = 5% = Z×√((0.75 × 0.25)/1,600)
z = 0.05/(√((0.75 × 0.25)/1,600)) ≈ 4.61880
Therefore, the corresponding p-value, p = 1
necesito ayuda verificando 1/(csc(y) - cot y) = csc(y) + cot y
The proof is given below.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
We have to prove that,
1 / (cosec y - cot y) = cosec y + cot y
Now,
1 / (cosec y - cot y)
Rationalizing the denominator.
= 1 / (cosec y - cot y) x (cosec y + cot y) / (cosec y + cot y)
= (cosec y + cot y) / (cosec²y - cot²y)
[ Cosec²x = 1 + Cot²x ]
[ Cosec²x - Cot²x = 1 ]
= cosec y + cot y
Thus,
Proved.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Pam and Tina went for a 12 mile hike (round trip) to the top of a mountain. It took 5 hours. They were able to hike 1 mile per hour faster on the way down. How fast did they hike going up the mountain
Answer:
2 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
time = distance/speed
If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...
6/s +6/(s+1) = 5
6(s+1) +6s = 5(s)(s+1)
5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form
(s -2)(5s +3) = 0 . . . . factor
s = 2 or -3/5 . . . . values that make the factors 0
Their speed was 2 miles per hour going up the mountain.
__
Check
It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.
Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?
Answer:
\(x^2-2x+1\)
Step-by-step explanation:
=> (x-1)(x-1)
Using FOIL
=> \(x^2-x-x+1\)
=> \(x^2-2x+1\)
Answer:
Step-by-step explanation:
simply :
(x-1)(x-1)= (x-1)²= x²-2x=1
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.
Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.
From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.
Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.
So,
length of arc LNM=Circumference of circle-length of arc LKM.
We know that length of an arc =Θr
in which Θ is the angle in radian.
length of arc=70*π\(/180*5\)
=70π\(/36\)
Circumference of circle=2π*5
=10π
Length of arc LNM=10π-70π\(/36\)
=(360π-70π)\(/36\)
=290π\(/36\)
Put π=3.14
=290*3.14\(/36\)
=910.6\(/36\)
=25.29m
Hence the length of arc LNM is 25.29 m.
Learn more about arc at https://brainly.com/question/2005046
#SPJ1
A rectangular tank with a square base, an open top, and a volume of 19 comma 65219,652 ft cubedft3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
Answer:
34 and 17 feet.
Step-by-step explanation:
We have that the volume is given by:
V = x * x * y = (x ^ 2) * y
The surface area of the tank would be: x ^ 2 + x * y + x * y + x * y + x * y
SA = x ^ 2 + 4 * x * y
we know that the volume is 19652, replacing it would remain:
19652 = (x ^ 2) * y, we solve for y:
y = 19652 / (x ^ 2)
replacing in SA we are left with:
SA = x ^ 2 + 4 * x * 19652 / (x ^ 2)
SA = x ^ 2 + 70608 / x
we derive and equal 0:
SA´ (x) = 2 * x - 70608 / (x ^ 2) = 0
2 * x = 70608 / (x ^ 2)
x ^ 3 = 39304
x = 34
for and would be:
y = 19652 / (34 ^ 2) = 17
dimensions are 34 and 17 feet.
Use the area model to write a fraction equivalent to
1/5
NEED THIS DONE ASAP!! Thank you!!
Answer:
\(\overset{\frown}{WX}= 66^{\circ}\)
Step-by-step explanation:
Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of the intercepted arc.
First, use the Inscribed Angle Theorem to calculate the measure of arc WY.
\(\displaystyle \angle WXY=\dfrac{1}{2} \overset{\frown}{WY}\)
\(\implies 57^{\circ}=\dfrac{1}{2} \overset{\frown}{WY}\)
\(\implies \overset{\frown}{WY}= 2 \cdot 57^{\circ}\)
\(\implies \overset{\frown}{WY}= 114^{\circ}\)
Assuming XY is the diameter of the circle:
\(\implies \overset{\frown}{WY}+ \overset{\frown}{WX}= 180^{\circ}\)
\(\implies 114^{\circ} + \overset{\frown}{WX}= 180^{\circ}\)
\(\implies \overset{\frown}{WX}= 180^{\circ} - 114^{\circ}\)
\(\implies \overset{\frown}{WX}= 66^{\circ}\)
PLEASE HELP ME IM TAKING A TIMED TEST
IF YOUR THE FIRST PERSON TO ANSWER AND IT'S RIGHT I WILL GIVE YOU BRAINLEST
Answer:
0.1 = -0.1
1/7 = 1/7
10 = -10
-7 = 7
Explaination: They are opposite
0.1 = -0.1
1/7 = -1/7
10 = -10
-7 = 7
If the answer has no negative sign than the answer will be positive but if the answer is positive the answer will be negitive
A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)
Hellppp please 10 points
toAnswer:
x ≥ 1
[] See attached
Step-by-step explanation:
[Given]
-6 ≤ -7 + x
[Add 7 to both sides]
1 ≤ x
For the graph, we will plot the point 1 and fill it in since x is greater than or equal to 1. Next, we will draw an arrow to the right showing greater than.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Will give brainliest answer
Answer:
I believe it's A)
Step-by-step explanation:
en una escuela por cada 5 estudiantes hombres hay 13 estudiantes mujeres si en total de los estudiantes es de 34,000 ¿cuántos hombre y mujeres hay ?
There are 9444 men and 24555 females are present.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total students = 34000
For every 5 male students there are 13 female students.
So, the number men are
= 5/18 x 34000
= 9444
and, number of women
= 13/ 18 x 34000
= 24, 555.
learn learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ9
The question attached here is in other language whose translation is given below.
In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?
the median wait time for angioplasty is greater than the median wait time for bypass surgery but the mean wait time is shorter for angioplasty than for bypass surgery. what does this suggest about the distribution of wait times for these two procedures? both means are ---select--- their respective medians, suggesting that both distributions are ---select--- . the fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is ---select--- in the case of bypass surgery, suggesting that the ---select--- is ---select--- pronounced for bypass surgery than for angioplasty.
Based on the given information, we can make the following conclusions: Both means are shorter than their respective medians. The median-to-mean increase is greater in the case of bypass surgery
What is median?In statistics, the median is a measure of central tendency that represents the middle value of a dataset when the data is arranged in ascending or descending order. It is the value that separates the lower 50% of the data from the upper 50% of the data. To find the median of a dataset, the data is first arranged in order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values. The median is a useful measure of central tendency because it is less sensitive to outliers than the mean, which makes it a better indicator of the typical or central value of a dataset when the data is skewed or contains extreme values.
Here,
1. Both means are shorter than their respective medians, suggesting that both distributions are skewed to the right. This means that there are some patients who wait for a very long time, causing the right tail of the distribution to be longer.
2. The fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is greater in the case of bypass surgery, suggesting that the skewness is more pronounced for bypass surgery than for angioplasty. This means that there are relatively more patients who wait for a very long time for bypass surgery compared to angioplasty, which is reflected in the longer right tail of the distribution for bypass surgery.
To know more about median,
https://brainly.com/question/29156884
#SPJ1
evaluate 292.4 divided by 17.
THANK YOU! :)
Answer:
17.2
Step-by-step explanation:
From the figure, the cylinder glass has a height of 6 inches and a radius of the mouth of the glass 1.25 inches. Find the length of SK in inches.
Answer:
D. 6.5
Step-by-step explanation:
The diameter of the cylinder is 1.25 x 2 = 2.5
SK = √1.25² + 6² = √42.25 = 6.5
Felipe uploaded a funny viedo of his dog. The relationship between the elapsed time in days, d , since the viedo was first uploaded and the total number of views, v , that the viedo received is modeled by v=4^1.25d . Find the number of days it took Felipe's viedo to get 1024 views.
The number of days took to get the video of Felipe 1024 views is 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,
v = 4^(1.25d)
We have to find d when v = 1024
1024 = 4^(1.25d)
We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ
1024 = \((4^{1.25} )^d\)
1024 = (5.6569)^d
Taking logarithms on both sides,
㏒ (1024) = ㏒ [(5.6569)^d]
We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)
㏒ (1024) = d ㏒ (5.6569)
d = ㏒ (1024) / ㏒ (5.6569)
d = 4
Hence it took 4 days to for Felipe's video to get 1024 views.
Learn more about Equations here :
https://brainly.com/question/22960530
#SPJ1
can someone please answer as soon as possible
Answer:
A) {-1,2,8}
Step-by-step explanation:
fill in all domain values in f(x) and you get:
f(-1) = -1
f(0) = 2
f(2) = 8
The set of results is the range.
Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
the experimental probability that the next vase produced at the factory will be chipped is 1/5.
Step-by-step explanation:
Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).
Therefore, the experimental probability that the next boat to dock will be from North Carolina is:
P(North Carolina) = 5/13
For the second question:
Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:
P(chipped) = 2/10 = 1/5
Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.
pls I need assistance with this I promise brainiest
1. (-4)*(-3)*(+2)/(-6)*(-4)
2. -8*(-11)*9*(-5)/2*(-33)*(-3)
Answer:
1) 16
2) -196020
Step-by-step explanation:
simple answer using DMAS rule
D = Division
M = Multiplication
A = Addition
S = Subtraction
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
According to a survey conducted by the Association for Dressings and Sauces, 80% of American adults eat
salad once a week. A nutritionist suspects that this percentage is not accurate. She conducts a survey of
445 American adults and finds that 374 of them eat salad once a week. Use a 0.005 significance level to
test the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
The test is: Select an answers
The test statistic is: z-
(to 2 decimals)
The Critical Value is: z-
Based on this we: [Select an answer
Conclusion: There Select an answer appear to be enough evidence to support the claim that the
proportion of American adults who eat salad once a week is equal to 80%.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
How to solveTo test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.
Claim: p = 0.80
Opposite: p ≠ 0.80
The test is a two-tailed z-test.
Sample proportion (p) = 374/445 = 0.8404
Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)
z = 2.53 (rounded to 2 decimals)
Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Read more about test statistic here:
https://brainly.com/question/15110538
#SPJ1
AC is 9.1 centimeters and BC is 4.2 centimeters. Find AB
Answer:
AB = 4.9cm
Step-by-step explanation:
We know
AC is 9.1 centimeters, and BC is 4.2 centimeters.
Find AB
We take
9.1 - 4.2 = 4.9cm
So, AB = 4.9cm
Dmitry suspects that his friend is using a weighted die for board games. To test his theory, he wants to see whether the proportion of odd numbers is different from 50%. He rolled the die 40 times and got an odd number 14 times.
Dmitry conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of odds is different from 50%
(a) H0:p=0.5H0:p=0.5; Ha:p≠0.5Ha:p≠0.5, which is a two-tailed test.
(b) Use Excel to test whether the true proportion of odds is different from 50% Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.
As the data says , the null and alternate hypothesis will be H0 :p=0.50 and H1:p ≠ 0.50
Let p stand for the true proportion of odds.
To compare the
null hypothesis H0:P = 0.50
alternative hypothesis H1:p 0.50
Let p represent the sample proportion and n represent the sample size.
here,
p = 14/40
= 0.350
n=40, p₀ = 0.500,
= proportional standard error under null 0.50 * (1 -0.50) /40
= 0.079057
The test statistic is as follows:
z = p - p0 / √ p0 ( 1 - p0) / n )
They follow a typical normal distribution under H0
If P-value 0.05 or |Zobs| > 0, we reject H0 t 0.05 threshold of significance. z0.025
Now,
The test statistic value is -1.897367.
1.959964 is the key value.
P-value = 2*P(Z - 1.897367) + P(|z|>Zobs)
= 2 * 0.028890
= 0.057780≈ 0.0578
Because the p-value is greater than 0.05 and |Zobs| = 1.959964,
As a result, we fail to reject H0 at the 0.05 threshold of significance.
As a result, the population proportion has decreased.
Null and alternate hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always expects no effect or no association between variables, whereas the alternative hypothesis of a test always predicts no effect or no association between variables.
To learn more about Null Hypothesis
brainly.com/question/28920252
#SPJ4
Answer:
Step-by-step explanation:
Step 1: The sample proportion is pˆ=1440=0.35, the hypothesized proportion is p0=0.5, and the sample size n=40.
Step 2: The test statistic, rounding to two decimal places, is z=0.35−0.50.5(1−0.5)40−−−−−−−−−−√≈−1.897.
Step 3: Since the test is two-tailed and the test statistic is negative, entering the function =2*Norm.S.Dist(−1.90,1) into Excel returns a p-value, rounding to three decimal places, of 0.058.
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18