Answer: 2a - 14 = 2(a - 7)
Step-by-step explanation:
Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).
Answer: -14
Step-by-step explanation:
PLEASE HELP
The table above gives selected values for the differentiable function f. in which of the following intervals must there be a number c such that f’(c)=2 PHOTO ATTACHED
Answer:
C.
Step-by-step explanation:
We need to apply Mean Value theorem here.
We just need to calculate the average rate of change for each interval.
A) x=0 to x=4
We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.
(8-0)/(0-4)
8/-4
-2
Not this choice
B) x=4 to x=8
We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.
(2-0)/(8-4)
2/4
1/2
Not this choice
C) x=8 to x=12
We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.
(10-2)/(12-8)
8/4
2
This one works.
D) x=12 to x=16
We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.
(1-10)/(16-12)
-9/4
The table is an illustration of mean value theorem
[tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
If a function is differentiable, then:
[tex]\mathbf{f'(c) =\frac{f(b) - f(a)}{b - a}}[/tex]
(a) (0,4)
This gives
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4 - 0}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(4) - f(0)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{0 - 8}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{- 8}{4}}[/tex]
[tex]\mathbf{f'(c) =-2}[/tex]
(b) (4,8)
This gives
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{8 - 4}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(8) - f(4)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{2-0}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{1}{2}}[/tex]
(c) (8,12)
This gives
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{12 - 8}}[/tex]
[tex]\mathbf{f'(c) =\frac{f(12) - f(8)}{4}}[/tex]
From the table, we have:
[tex]\mathbf{f'(c) =\frac{10-2}{4}}[/tex]
[tex]\mathbf{f'(c) =\frac{8}{4}}[/tex]
[tex]\mathbf{f'(c) =2}[/tex]
Hence, [tex]\mathbf{f'(c) =2}[/tex] on the interval (8,12)
Read more about mean value theorems at:
https://brainly.com/question/3957181
Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.
Answer:
78.54
Step-by-step explanation:
B. You spin a spinner with equal-sized sections, as shown. Determine each
probability. 6) P(Yellow or Blue) *
Answer:
The probability of spinning yellow or blue is [tex]\frac{4}{5}[/tex] or 80%.
Step-by-step explanation:
Since the circle is split evenly into 5 parts, and 4 parts are either blue or yellow, that means the probability of spinning blue or yellow is the number of blue or yellow sections divided by the total sections, which is [tex]\frac{4}{5}[/tex] or 80%.
The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission
I need an Answer not a link.
Answer: C
Step-by-step explanation:
Plz tell me if i am wrong
<4and <5 are alternate interior angles. Find the measure of <5
Answer:
115 degrees
Step-by-step explanation:
Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since
<4 = 115 degrees, <5 is also equal to 115 degrees
What is the measure of n?
m
n
44
11
n
=
[?]
Enter
please help me i’ll give u brainliest rn
Answer:22
Step-by-step explanation:
Question 5 (1 point)
Solve the inequality for x.
- 3x + 6 < 15
Ox>-3
Ox<-3
0x<-7
Ox>-7
Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
A. x > -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−3x + 6 − 6 < 15 − 6
−3x < 9
Step 2: Divide both sides by -3.
−3x/−3 < 9/−3
x > −3
A caterer uses special stacking ovens to prepare large
amounts of food. Find the total number of servings that
can be prepared in one hour.
Lasagne: 8 servings per pan
Number of pans per oven: 3
Number of ovens: 3
Pan changes in one hour: 2
Answer:
144
Step-by-step explanation:
The national average for the number of students per teacher for all U.S. public schools is 15.9. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Assume a normal distribution is appropriate for the number of students per teacher.a)[7 pts] Estimate the true mean number of students per teacher with 95% confidence from the random sample. b) [6 pts] A researcher makes the claim that moderately populated districts have a different number of students per teacher than the national average. Do the data support this claim
Answer:
The 95% confidence interval of the mean is
(17.8658, 20.5342)
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 15.9
Given that the size of the sample 'n' =12
Mean of the sample x⁻ = 19.2
Given that the variance of the sample = 4.41
The standard deviation of the sample (S) = 2.1
Step(ii):-
Degrees of freedom = n-1
ν = n-1 = 12-1=11
t₀.₀₅ = 2.2010
The 95% confidence interval is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} } )[/tex]
[tex](19.2 - 2.2010 \frac{2.1}{\sqrt{12} } , 19.2 + 2.2010 \frac{2.1}{\sqrt{12} } )[/tex]
(19.2 - 1.3342 , 19.2+1.3342)
(17.8658 , 20.5342)
Final answer:-
The 95% confidence interval of mean is
(17.8658 , 20.5342)
7. Sydney cleans her room for 45 minutes. 'She starts at 11:13 a.m. What time does Sydney finish cleaning her room?
Answer:11:58 duh
Step-by-step explanation I can count
Answer:
SYDNEY FINISH CLEANING HER ROOM AT 11:58 a.m.
Simplify the following expression:
–10x – 9x + 1
Answer: -19x +1
Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .So your final answer is -19x +1 .
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
D. 16.7%
Step-by-step explanation:
Rate of return is:
R = (Vf - Vi) / Vi
R is the rate of return, Vf is the final value, and Vi is the initial value. Essentially, you're finding the change in value and dividing by the initial value.
R = (1750 - 1500) / 1500 = 0.167 = 16.7%
Make sure that you divide by the initial value, not the final. If you divided by 1750 instead, you would have gotten 14.3% which is not correct.
Make sure you check your sign as well. The value increased, so the rate of return is positive.
Find the common difference of the arithmetic sequence -19, -16, -13, ...
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
The water hose can fill a water basin in 6 minutes, while it takes 8 minutes to empty it with the drain spigot. How long will it take to fill the empty water basin if the spigot is left open? Enter just the number no words
Answer:24
Step-by-step explanation:
What’s the median of 70,77,80,81,82,87,88
Answer:
Hello There!!
Step-by-step explanation:
You order them but in this case they are already ordered and the middle number is 81 so that is the median(also knows as the middle).
hope this helps,have a great day!!
~Pinky~
Answer:
The median is 81.
Step-by-step explanation:
You can find the median in the middle if it all of them add up to odd.(like your’s say 70, 77, 80,... so that You will count them all. In total you have seven numbers and it’s odd).
if it is an even numbers, you mulitply the middle two numbers and divide them by two. That is the median for even numbers.
PLEASE HELP ASAP!!
Find the area of the rectangle below in terms of y. Make sure your expression is fully
simplified.
Recall, the formula for area of a rectangle is A= lw
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT.
Step-by-step explanation:
Area of rectangle is Length × Breadth
Where Length is 6y⁴+3y³-y²-8Width is 2y²We need to multiply these 3 terms.
[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]
Use distributive property
= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²
Hope it helps :)
What does please put it in simplest radical form and rationalize the denominators
N=
M=
Answer:
n = 6
m = 6√3
Step-by-step explanation:
Reference angle = 30°
Opposite = n
Adjacent = m
Hypotenuse = 12
✔️To find n, apply the trigonometric ratio, SOH:
Sin 30° = Opp/Hyp
Sin 30° = n/12
n = Sin 30° × 12
n = ½ × 12 = 6
✔️To find m, apply the trigonometric ratio, CAH:
Cos 30° = Adj/Hyp
Cos 30° = m/12
m = Cos 30° × 12
m = √3/2 × 12 (cos 30 = √3/2)
m = √3 × 6
m = 6√3
A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08
Answer:
48(c)
Step-by-step explanation:
4.8=48 as move 10 will change 4.8 as 48Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met
Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
Suppose the graph of fis given. Describe how the graph of each function can be obtained from the graph of f.
(a) y = f(x + 6) + 2
shift 6 units to the left and 2 units upward
shift 2 units to the right and 6 units upward
shift 6 units to the left and 2 units downward
shift 6 units to the right and 2 units upward
shift 2 units to the right and 6 units downward
x
(b) y = f(x - 9) - 3
shift 3 units to the right and 9 units downward
shift 9 units to the right and 3 units downward
shift 9 units to the left and 3 units downward
shift 3 units to the left and 9 units upward
o shift 9 units to the right and 3 units upward
X
Answer:
300000000
Step-by-step explanation:
Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .
Step-by-step explanation:
1 case- 8 cans
If you have 32 cans and you know that 1 case can have 8 cans you do this:
32:8=4 cases
Then if you have 10 cases in each you get 8 cans so it equals:
10*8=80cans
And last:
You have 96 cans and again you know that one case can contain 8 cans so it is:
96:8=12 cases
When you write that:
1. answer: 8
2.answer:4
3.answer:80
4.answer:12
A map of an island is shown on a half-centimetre grid,
where A, B and Care houses.
The actual distance between A and B
is 960 metres.
a) Work out the scale on the map.
A
Give your answer in the form 1:n
+
(2)
b) Work out the actual distance
between A and C in kilometres.
Your final line must say, AC = ... km
c
(4)
Total marks: 6
Answer:
The answer is b.
Step-by-step explanation:
Answer:
a) 1:48000 b)1.6128km
Step-by-step explanation:
Question 10 of 25
What are of a makes the trinomial below a perfect square
x^2-bx+36
i don’t know the answer help asap
Answer:
measure of <DFH=56
Step-by-step explanation:
The two triangles are similar, so their angles are the same, but their lengths are different.
If their angles are the same, then 98-6x=63-x.
98-6x=63-x (subtract: 98-63)
35-6x=-x (add 6x-x)
35=5x (divide by 5)
7=x (Then make sure you answer the question and put x in 63-x.)
63-(7)=56
If the probability of a husband cooking eggs for breakfast is 0.1, the probability of a husband cooking bacon for breakfast is
0.3, and the probability of cooking eggs and bacon for breakfast is 0.06, what is the probability of a husband cooking eggs
or bacon for breakfast?
Answer:
00.6inches 0.03 and o.1 or 5 times 0.006
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?
x Greater-than-or-equal-to 2236
x Greater-than-or-equal-to 7764
x Less-than-or-equal-to 2236
x Less-than-or-equal-to 7764?
Answer: x greater-than or equal-to 2,236
Step-by-step explanation:
5,000-2,764= 2,236
so Li's family still needs to save at least $2,236
Answer:
A
Step-by-step explanation:
bc
A teacher has 1/4 gallon or mlik
Answer:
notify me when you finish the question so i can answer ok
Step-by-step explanation:
Answer:
This means that there is 3/4 gallon or quarts left of milk that the teacher has.
Step-by-step explanation:
