Answer:
a) v_avg = k
b) 0.034 km/h
Step-by-step explanation:
a) The average velocity is given by the displacement over the time:
[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex] (1)
Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:
S1 = 30k
S2 = 20k/2 = 10k
Then, the total surface is:
S = S1+S2 = 50k
The average speed is:
v_avg = (50k)/(50s)= k
b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:
S=50k=1.7km
k=(1.7km)/(50k)=0.034km/h = 34 m/h
HELP MEE ILL MARK BRAINLEIST
Answer:
3x-3 I think that's it.
Step-by-step explanation:
Answer:
The vertex is (1, -4)
Step-by-step explanation:
PLEASE HELP
Which of the following inequalities is true according to the number line?
Answer:
A ≥ D
Step-by-step explanation:
Julie went to the store with $20.00. if she bought 8 cans of dog food for $.67 per can, how much money did she have left? IF YOU ANSWER THIS QUESTION, I WILL RATE YOUR ANSWER 5 STARS, BRAINLIEST ANSWER, AND A THANK YOU!
PLEASE ANSWER THIS QUESTION ASAP!
Answer:
$14.64
Multiply 8 by .67 which is 5.36
Subtract 5.36 from 20.00 and that's 14.64
Answer:
14.64
Step-by-step explanation:
Have a wonderful day hope this helps
Is 656250 divisible by 10?
Answer:
Yes 656250 is divisible by 10. Answer is 656250.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
3/k = x
Step-by-step explanation:
5kx +6 = 7kx
Subtract 5kx from each side
5kx -5kx +6 = 7kx-5kx
6 =2kx
Divide each side by 2k
6 /2k = 2kx/2k
3/k = x
How many proportional relationships are shown in the coordinate plane here???
Answer:
3
Step-by-step explanation:
In the graph, there are three lines , so that indicates that there are 3 proportional relationships
A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand is needed to obtain the desired mixture? (If the system is dependent enter a for brand X and enter brand Y and brand Z in terms of a.)
Answer:
x = 2; y = 3; z = 1
Step-by-step explanation:
For the first fertilizer (A) we can form the equation:
y + 2z = 5
For the second fertilizer (B) we can form the equation:
x + 2y + 5z = 13
For the third fertilizer (C) we can form the equation:
x + 2z = 4
solving simulteneously:
y = 5 - 2z
x = 4 -2z
Substituting (i) and (ii) into (2)
4 - 2z + 10 -4z + 5z = 13
14-z =13, therefore z = 1
substituting z into (i) and (ii)
y = 3
x = 2
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
I. Random condition
II. Normal condition
III. 10% condition
A) I
B) II
C) I and III
D) II and III
E) I, II, and III
Answer:
C) I & III
Step-by-step explanation:
Given:
Sample size, n = 18
Sample proportion = 25% = 0.25
Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.
For the normal condition to be satisfied, np should be greater than 10, ie np > 10.
In this case, np = 18 * 0.25 = 4.5
Since np is less than 10, the normal condition was not satisfied.
For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.
Here, the sample size is 18 and the population is 1500. Therefore,
[tex] \frac{18}{1500} * 100 = 1.2 [/tex]
Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.
The correct option is C, because only I & III were satisfied.
Solve both equations the lines are absolute value and please include detailed steps for each
I’ll report you if you don’t put a legit answer.
Answer:
see below
Step-by-step explanation:
|x+8| ≤ 4
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x+8 ≤ 4 x+8 ≥ -4
Subtract 8 from each side
x+8 -8 ≤ 4-8 and x+8-8 ≥ -4-8
x ≤-4 and x ≥ -12
Writing as one function
-12 ≤x ≤-4
|x-8|+5 ≥ 11
Subtract 5 from each side
|x-8|+5-5 ≥ 11-5
|x-8| ≥ 6
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x-8 ≥ 6 or x-8 ≤ -6
Add 8 to each side
x-8+8 ≥ 6+8 or x-8+8 ≤ -6+8
x ≥ 14 or x ≤ -2
Answers and Step-by-step explanations:
9. | x + 8 | ≤ 4
Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.
That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).
Case 1: x + 8 > 0
x + 8 ≤ 4
x ≤ -4
Case 2: x + 8 < 0
-(x + 8) ≤ 4
-x - 8 ≤ 4
-x ≤ 12
x ≥ -12
Combining these two inequalities, we get:
-12 ≤ x ≤ -4
10. | x - 8 | + 5 ≥ 11
Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6
We again have two cases: x - 8 > 0 and x - 8 < 0.
Case 1: x - 8 > 0
x - 8 ≥ 6
x ≥ 14
Case 2: x - 8 < 0
-(x - 8) ≥ 6
-x + 8 ≥ 6
-x ≥ -2
x ≤ 2
Combining these two inequalities, we get:
x ≤ 2 and x ≥ 14
I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite four members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of four members over all $365$ days?
Answer: 12
Step-by-step explanation:
If we have n people and we want to do groups of 4, the total number of different combinations is:
[tex]c = \frac{n!}{(n - 4)!4!}[/tex]
and we want find the smallest n such c > 365.
let's do it by brute force:
if n = 5, we have:
[tex]c = \frac{5!}{1!*4!} = 5[/tex]
if n = 6
[tex]c = \frac{6!}{2!*4!} = \frac{6*5}{2} = 15[/tex]
if n = 7
[tex]c = \frac{71}{3!*4!} = \frac{7*6*5}{3*2} = 35[/tex]
if n = 8
[tex]c = \frac{8!}{(4!*4!} = \frac{8*7*6*5}{4*3*2} = 70[/tex]
if n = 9
[tex]c = \frac{9!}{5!*4!} = \frac{9*8*7*6*5}{5*4*3*2} = 126[/tex]
if n = 10
[tex]c = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]
So you can see the patern here.
So we have the previous number multiplied by n and divided by n - 4
if n = 11
C = 210*11/(11- 4) = 330
if n = 12
C = 330*12/(12 - 4) = 495
Then the minimum number of members such we have more than 365 combinations is 12 members
Pls help me 15 points if you fake it u get reported
Answer:
The volume question is 1,120 I think
Answer with explanation will mark brainliest
for best response
Answer:
Angle B = 106.6 degrees
Step-by-step explanation:
b^2= a^2+c^2-2*a*c*cosB
9*9 = 4*4 + 7*7 - 2*7*4*cosB
81= 16+49-56cosB Subtract 16 and 49 from both sides
16= -56cosB Divide by -56 on both sides.
cosB= -16/56 Take the arccosine of both sides
B=arccos(-16/56)
B= 106.6
Answer:
B. 106.6
Step-by-step explanation:
To solve for angle B, we can use the law of cosines.
Recall that the law of cosines states [tex]b^2=a^2+c^2-2ab*cos(B)[/tex]
When this is solved for angle B, we get [tex]B=cos^{-1}( \frac{a^2+c^2-b^2}{2ac} )[/tex]
In this triangle, [tex]a=7, b=9, c=4[/tex]
Now, we can plug these numbers into our equation and then simplify to get B.
[tex]B=cos^{-1}( \frac{7^2+4^2-9^2}{2(7)(4)} )\\\\B=cos^{-1}( \frac{49+16-81}{56} )\\\\B=cos^{-1} (\frac{-16}{56} )\\\\B=106.602\\\\B=106.6[/tex]
760-__=214=225+231need help
Hey, actually I am new here, otherwise I was on brainly.in (India)....so can anyone tell me about some moderators here.....need help....
Calculate the indicated value of each function. f(x) = –15x^2+9. Find f(12).
Answer:
-2151
Step-by-step explanation:
f(x) = –15x^2+9.
Let x = 12
f(12) = -15 ( 12)^2 +9
= -15 (144) +9
= -2151
Answer:
-2151
Step-by-step explanation:
F(x) = -15x^2 + 9
F(12) = -15 (12)^ 2 + 9
= -15 * 144 + 9
= -2160 + 9
= -2151
The sum of the speeds of two trains is
726.1 miles per hour. If the speed of the first train is
9.9 mph faster than that of the second train, find the speeds of each.
Answer:
Train 1: 368 mph
Train 2: 358.1 mph
Step-by-step explanation:
We can write 2 equations to represent this problem.
[tex]x+y=726.1[/tex]
[tex]x=9.9+y[/tex]
The x represents the first train and the y represents the second train.
We can plug in x into the first equation.
[tex](9.9+y)+y=726.1[/tex]
[tex]9.9+2y=726.1[/tex]
[tex]2y=716.2[/tex]
[tex]y=358.1[/tex]
Now that we know our y, we can find our x.
[tex]x=9.9+y[/tex]
[tex]x=9.9+358.1[/tex]
[tex]x=368[/tex]
The average human gestation time is 266 days from conception. A researcher suspects that proper nutrition plays an important role and that low-income women with inadequate food intake would have shorter gestation times even when given vitamin supplements. A random sample of 20 low-income women who were given vitamin supplement throughout their pregnancy had a gestation time from conception of x - 256 days The researcher's alternative hypothesis for the test is:______.
a. Ha : μ =/ 256.
b. Ha: μ = 266.
c. Ha : μ < 266.
d. Ha : μ < 256.
Answer:
c. Ha : μ < 266.
Step-by-step explanation:
Null hypothesis: The mean value is x.
Alternate hypothesis. The mean value is different than x, greater than x, smaller than x...
In this question:
Average of 266 days, so the null hypothesis is that the mean is 266.
In the sample:
He suspects that the generation time is less than 266. So
c. Ha : μ < 266.
Choose the correct correspondence. U ∠T ∠S ∠R
Answer:
angle S
Step-by-step explanation:
You have to make the triangles congruent. Therefore, you have to flip one triangle vertically and horizontally. (To see the picture google choose the correct correspondence, I am looking at the one with two triangles in the figure.) If you imagine putting them over top of each other, then U goes over S.
Sorry my answer was so late.
Answer:
The answer is going to be S
Step-by-step explanation:
There are 4 boy in a class of 13 students? What is the ratio of girls to boys?
Answer:
4:9
Step-by-step explanation:
13-4=9 AND THERES 4 boys so that means there are 9 girls. So 4:9
Translate the sentence into an inequality.
The quotient of b and 7 is greater than or equal to 26.
Answer: b/7>=26
Step-by-step explanation:
Answer:
[tex]\frac{b}{7} \geq 26[/tex]
Step-by-step explanation:
1) we are given "the quotient of b and 7", quotient means to divide and since b comes before 7 it must be [tex]\frac{b}{7}[/tex]
2) "greater than or equal to" means that the [tex]\frac{b}{7}[/tex] from earlier must be either greater than, or the same value as the following number so you use this sign: [tex]\geq[/tex]
3) 26 comes last in the problem meaning it must come after the [tex]\geq[/tex] sign
4) you then combine them together to get [tex]\frac{b}{7} \geq 26[/tex] !
Hope this helps!
What type of number is the square root of 13
A decimal
3.60555127546
Have a great day
What is the area of a circle?
Answer:
area=πr2
Step-by-step explanation:
pie radius squared
Answer:pie r square
Step-by-step explanation:
A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees is selected. The Number of days absent in one year is listed below. An Incentive program is offered in an attempt to decrease the number of days absent. The number of days ansent in one year after the incentive program is listed below. Test the claim that the incentive program cuts down on the number of days missed by employees. Use a=0.05. Assume that the distribution is normally distributied.Employee A B C D E F G H I JDays Absent Before incentive 3 8 7 2 9 4 2 0 7 5Days absent after incentive 1 7 7 0 8 2 0 1 5 5
Answer:
The incentive program does not cuts down on the number of days missed by employees.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.
The hypothesis for the test can be defined as follows:
H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.
Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.
From the information provided the data computed is as follows:
[tex]n=10\\\bar d=-1.1\\SD_{d}=2.99[/tex]
Compute the test statistic value as follows:
[tex]t=\frac{\bar d}{SD_{d}/\sqrt{n}}[/tex]
[tex]=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16[/tex]
The test statistic value is -1.16.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the p-value of the test as follows:
[tex]p-value=P(t_{n-1}<-1.16)\\=P(t_{10-1}<-1.16)\\=P(t_{9}<-1.16)\\=0.1379[/tex]
*Use a t-table.
The p-value of the test is 0.1379.
The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The incentive program does not cuts down on the number of days missed by employees
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Answer:
1/25 miles per minute
Step-by-step explanation:
Speed is distance divided by time
1/5 miles ÷ 5 minutes
Copy dot flip
1/5 * 1/5
1/25 miles per minute
Answer:
speed(v)=1.07
Step-by-step explanation:
v=m/s (1/5 mile is 321 m and 5 min is 300 seconds)
=321/300=1.07
What number is opposite of 98
Answer:
89
Step-by-step explanation:
Answer:
-98
Step-by-step explanation:
Because the negative of the number is on the opposite side of a number line.
If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?
Answer:
[tex]V = 208\,u^{3}[/tex] (Option C)
Step-by-step explanation:
The volume of the composite figure is:
[tex]V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)[/tex]
[tex]V = 208\,u^{3}[/tex] (Option C)
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
[tex]226.2m^2[/tex]
Step-by-step explanation:
[tex]A_L=2\pi rh=2*\pi *4.5*8\\=226.19467\\=226.1947\\=226.195\\=226.2m^2[/tex]
A square has side length (5x-3) cm. What is the area of the square?
Answer:225 cm
Step-by-step explanation:
Square has 4 equal sides
Area of squares equal length x width
If one side length is 5x-3 , the width is the same
Hence -15 x -15
**10 POINTS PLEASE HELP**
Can each of the shapes below be expressed as a composite figure of equilateral triangles? Select Yes or No for each shape.
A pyramid
(select)
A hexagon
(select)
A pentagon
(select)
Answer:
A pyramid yes
a hexagon no
a pentagon no
Step-by-step explanation:
A triangle xyz has vertices
X (6,4), Y (5,-3) and (5,-1).
Find
whether
it's a
scalene triangle
Answer:
yes scalene as xy=7cm
xz=5cm
yz=2cm
Step-by-step explanation:
by the graph
hope this helps plzz mark me brainliest
Answer:
Scalene
Step-by-step explanation:
Let's find XY, XZ and YZ
XY = √[(6-5)^2 + (4-(-3)] = √[(1^2 ) + (7^2)]=√(1+49) =√50 = 7.0711
YZ = √[(5-5)^2 + (-3 -(-1))^2 ]=√[(0^2) + (-2)^2] =√(0 + 4) = 2
XZ = √[(6-5)^2 + (4-(-1)^2] = √[(1^2 ) + (5^2)]=√(1+25) =√26 = 5.099
By observation XY , XY and YZ are not the same; hence none of the sides is equal
A scalene triangle has no side equal
What’s the correct answer for this?
Answer:
The first option
Step-by-step explanation:
In the image, we can notice that NQ is longer than PQ, similar to how JH is longer than NJ. Thus, NQ must be aligned with JH and PQ with JN. As PN and HN are clearly the longest for each triangle, those must be aligned as well.
All of the responses have NP and NH aligned.
The last response does not have NQ aligned with JH.
The second and third do not align PQ and JN.
The first option is our answer.