The function f is continuous on the interval (0,9) and is twice differentiable except at x = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of x in the interval (0,9) is given in the table above. Which of the following statements could be false?
Answers
Answer:
The statement that could be false is;
(C) The function has a relative minimum at x = 6
Step-by-step explanation:
The given parameters are;
The function is continuous in the interval 0 ≤ x ≤ 9
The function is not differentiable at x = 6
f prime (x) = Negative for 4 < x < 6, and positive for 6 < x < 8
Therefore, at x = 6, the function is vertical
The statement that could be false is that the function has a relative minimum at x = 6.
A continuous function f(x) does not have discontinuity at any point
The statement that could be false is (c). The function f has a relative minimum at x = 6.
The interval is given as:
Interval = (0,9)
From the question, we understand that the function is not differentiable at x = 6.
This means that the function may or may not have a relative minimum at x = 6.
Hence, the statement that could be false is (c).
Read more about continuous functions at:
https://brainly.com/question/21447009
Related Questions
Please help me!!!
Problem Situation:
Eric is adding water to a 60-gallon pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27≤12+6x
To solve the inequality, you can begin by solving the equation as shown.
Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.
Answers
Answer:
2.5 minutes
Step-by-step explanation:
I'm not really sure how to use the equation but this is how you do it:
There are 12 gallons already there and they want to get to 27 so he needs 15 more gallons. We know that it fills up 6 gallons a minute so to fill the 60 gallon pool it will take 10 minutes. 15 is a quarter of 60 so you divide 10 by 4. This gets you 2.5.
The number line which represents all of the solutions for the problem situation is Number line A.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
to solve an inequality:
Volume of the pool = 60-gallons
Water in the pool already = 12 gallons
Water left to fill the pool = 27 gallons
Water flow per minute = 6 gallons
Number of minutes it takes to fill the pool = x
The inequality:
27 ≤ 12 + 6x
subtract 12 from both sides
27 - 12 ≤ 6x
15 ≤ 6x
divide both sides by 6
x ≤ 15/6
x ≤ 2.5 minutes
Therefore, the given inequality has the solution x ≤ 2.5 minutes.
Read more on inequality:
brainly.com/question/14089846
#SPJ7
Plz help!!!! It’s due today
Answers
Answer:
1. British colonies. i think im not sure sorry
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Answers
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = [tex]\dfrac13\pi r^2 h[/tex]
Volume of lid [tex]=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3[/tex]
Surface area of cone = [tex]\pi r\sqrt{h^2+r^2}[/tex] [as lide has no base we don't include area of base.]
Surface area of lid = [tex](3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3[/tex]
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Please answer :D Rearrange the linear equation so that it is in slope-intercept form. Identify the slope (m) and the y-intercept (b). You must show your work for full credit.
x - 4 = 2(y - 3)
Answers
Answer:
[tex]y=\frac{1}{2}x+1[/tex]
The slope is 1/2.
The y-intercept is 1.
Step-by-step explanation:
We have:
[tex]x-2=2(y-3)[/tex]
Let’s divide both sides by 2. This gives us:
[tex]\frac{x}{2}-\frac{4}{2}=y-3[/tex]
Simplify:
[tex]\frac{1}{2}x-2=y-3[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}x+1=y[/tex]
Flip:
[tex]y=\frac{1}{2}x+1[/tex]
This is in the slope-intercept form:
[tex]y=mx+b\\[/tex]
Where m is the slope and b is the y-intercept.
Hence, our slope m is 1/2 and our y-intercept b is 1.
Can someone help me it's similar triangles
Answers
Answer:
i think its 18 sorry if im wrong
Step-by-step explanation:
a family wants to rent a car to go vaction Company A charges $ 55.50 and 16 cent per mile Company B charges $ 45.50 and 10 cent per mile How much more does Company A charge for x miles than Company B plzzzzzzzzz help if u do funny business imma report u and get your acoount dellted thxxxs and byeeeee have a gooood dayyyyy
Answers
Answer:
Step-by-step explanation: company A $55.50 and 16 cent per mile
company B $45.50 and 10 cent per mile
company A $55.50+16=$55.66
Company B $45.50+10=$45.60
Company A charges $10 and 6cent more then company B
company B charges $45.50
Comapny A charges $55.50 + 16 cent
Company B charges $45.50+10
The sun produces 3.3 x 10^ 32 joules of energy per day. A human produces 6.27 × 10^6 joules per day. How many times more energy does the sun produce than a human per day?
Answers
Answer:
The sum produces [tex]5.26*10^{25}[/tex] times more energy that a human.
Step-by-step explanation:
[tex]\frac{3.3*10^{32} }{6.27*10^{6} } \\= 5.26*10^{25}[/tex]
Please can you help me, I had to put this question up here twice
Answers
Answer:
The value of zis 23.
Step-by-step explanation:
here,
4x-69=2z-23(opposte angle of parallelogram are equal)
or,4x-2x=-23+69
or,2x=46
or,x=46/2
Therefore x=23#
PLS HELP!!! WILL GIVE BRAINLIEST!!!
Answers
Answer:
A, C, and E
Step-by-step explanation:
C is correct because it is a vertical angle
E is correct because it is equal to angle 10 and 10 is a linear pair to angle 9
A is correct because it is equal to angle 6 and 6 is a linear pair to angle 5
what is the relationship between and A and B
Answers
Answer:
Step-by-step explanation:
Consider the enlargement of a triangle that has a scale factor of 7.5. A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a. Area Original = 1 2 (5)(2) = 5 cm2 What is the area of the enlarged triangle? cm2
Answers
Answer:
b=37.5cm
h=15cm
A=281.25
Step-by-step explanation:
The scale factor will represent how many times bigger the base and the height of the triangle are com that of the smaller triangle. So in order to find these transformations, we need to multiply the scale factor of 7.5 by both the base and the height.
b=7.5(5cm)=37.5cm
h=7.5(2cm)=15cm
so now we can find the area of the enlarged triangle by using the formula:
[tex]A_{triangle}=\frac{bh}{2}[/tex]
[tex]A=\frac{(37.5cm)(15cm)}{2}[/tex]
[tex]A=281.25 cm^{2}[/tex]
Answer:
281.25
Step-by-step explanation:
A teachers chocolate is 60 ounces for $7.20. A students chocolate is 75 ounces for $8.25. Which one is
cheaper per ounce?
Answers
Answer:
75 ounces for $8.25
Step-by-step explanation:
divide the cost wiht the ounce to get the answer, the lowest one is the the answer
AB←→ intersects PQ←→ at point M;
Point C is on AB←→ ;
Point R is on PQ←→ ;
△CMR is a right triangle.
Which statement describes the relationship between AB←→ and PQ←→ ?
A.
AB←→ and PQ←→ are skew
B.
AB←→ and PQ←→ are collinear
C.
AB←→⊥PQ←→
D.
AB←→∥PQ←→
Answers
Answer:
(C). AB←→⊥PQ←→
Step-by-step explanation:
This is the only suitable answer to produce a triangle △CMR which is a right triangle.
When we will draw Line AB And PQ which they are intersecting And to produce a right triangle by taking two random points ( C on AB and P on PQ).
Then AB and PQ must be Perpendicular to each other, only then a triangle CMR will be right angled at M.
Find the inequality represented by the graph
Answers
Answer:
y >or equal to 1/3x+1
hope that can help
JY = 8.3
YL = 6.4
J=
Answers
Answer:
j would equal 4.5 your welcome
Answer:
4.5
Step-by-step explanation:
It takes a barber 12 minutes to shave a face and 30 minutes to give a haircut. The barber works for 6 hours straight and spends twice as much time shaving faces as he does giving haircuts. If two of his customers get both a haircut and a shave, then how many customers does he see in total?
Answers
Answer:
7 customers
Step-by-step explanation:
Between which 2 consecutive integers is the square root of 250 located?
Answers
Answer:
Between
15
and
16
Explanation:
15
2
=
225
<
250
<
256
=
16
2
So
15
=
√
225
<
√
250
<
√
256
=
16
In fact
√
250
=
[
15
;
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
1
,
4
,
3
,
3
,
4
,
1
,
30
]
=
15
+
1
1
+
1
4
+
1
3
+
1
3
+
1
4
+
1
1
+
1
30
+
...
≈
15.8113883
Step-by-step explanation:
pls mark me as a Brainliest
I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.
Answers
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answers
Answer:
So, the required width of rectangular piece of aluminium is 8 inches
Step-by-step explanation:
We are given:
Perimeter of rectangular piece of aluminium = 62 inches
Let width of rectangular piece of aluminium = w
and length of rectangular piece of aluminium = w+15
We need to find width i.e value of x
The formula for finding perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Now, Putting values in formula for finding Width w:
[tex]Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8[/tex]
After solving we get the width of rectangular piece :w = 8
So, the required width of rectangular piece of aluminium is 8 inches
The area of a trapezoid is 80 ft?. Its bases have lengths 26 ft and 14 ft. Find its height.
Plz HURRY
Answers
Answer it's 40 all you had to do was add 26 and 14 you get 40 then subtract from 80 then you find your height
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Add the height and width and you get 40 then take it from 40
What is the next fraction in this sequence? Simplify your answer.
7 13 3 11
8, 16, 4, 16, ...
Submit
?
Answers
Answer:
12
Step-by-step explanation:
What is the value for x?
Btw plis add the explanation I would love to know the process of getting the answer for future references :) thx!
Answers
Answer:
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
7x - 3 = 11y + 5
7x = 11y + 8
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Explanation:
Since this is an equilateral triangle, all the sides and the angles are equal to each other.
=> angle L = Angle N = Angle M
And if Angle N = 7x - 3
Thus all the other angle also = 7x - 3
And the sum of interior angle in a triangle is 180 degree.
We can write an equation:
Angle L + Angle N + Angle M= 180
7x - 3 + 7x - 3 + 7x - 3 = 180
21x - 9 = 180
21x = 180 + 9
21x = 189
x = 9
Therefore, x = 9
Actual total direct labor $ 655,200 Actual hours worked 37,700 Standard labor-hours allowed for actual output (flexible budget) 36,500 Direct labor price variance $ 23,400 F Actual variable overhead $ 157,120 Standard variable overhead rate per standard direct labor-hour $ 4.20
Answers
Answer:
Complete question "Variable overhead is applied based on standard direct labor-hours allowed. Required: Compute the labor and variable overhead price and efficiency variances.
a. Direct labor
Direct labor price variance = (actual rate - standard rate)*actual hrs
(655,200-37700*x) = 23400
x = (655200+23400)/37700
x = 18
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37,700 - 36500)*18
= 21600 U
I. Price variance = 23,400 F
II. Efficiency variance = 21,600 U
b. Variable overhead
Price variance = (Actual rate - standard rate)*actual hrs
= (157120 - 37700*4.2)
= 1220 F
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37700-36500)*4.2
= 5040 U
I. Price variance = 1,220 F
II. Efficiency variance = 5,040 U
Coach De Leon purchases sports equipment. Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00. Part A: Use the drop downs to create an inequality that represent the situation. Let s represent the number of soccer balls and let b represent the number of basketballs. 18s+20b > 150 Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase? 4 basketballs and 6 soccer balls 5 basketballs and 2 soccer balls 2 basketballs and 7 soccer balls 6 basketballs and 5 soccer balls
Answers
Answer:
5 basketballs and 2 soccer balls
Step-by-step explanation:
5 times 20= 100
2 times 18= 36
equals 136
4 basketballs and 6 soccer balls- wrong-185
2 basketballs and 7 soccer balls-wrong-166
6 basketballs and 5 soccer balls- wrong- over 200
Answer:
The Inequality Equation is
20b + 18s <_ 150
5 Basketballs and 2 Soccer Balls
Step-by-step explanation:
Jose is raising money for a school trip by selling lollipops and packs of cookies. The price of each lollipop is $1 and the price of each pack of cookies is $2. How much money would Jose raise if he sells 12 lollipops and 13 packs of cookies? How much money would Jose raise if he sells ll lollipops and pp packs of cookies?
Answers
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
5
Keisha borrowed $8000 at a rate of 9.5%, compounded semiannually. Assuming she makes no payments, how much will she owe after 9 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
Answer:
Keisha will owe $18444.32 after 9 years
Step-by-step explanation:
Compound Interest
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
[tex]\displaystyle A=8000\left(1+{\frac {0.095}{2}}\right)^{2\cdot 9}[/tex]
Operating:
[tex]\displaystyle A=8000\left(1+0.0475\right)^{18}[/tex]
[tex]A = 8000\cdot 2.30554[/tex]
A = $18444.32
Keisha will owe $18444.32 after 9 years
Can someone please help me on this?
Answers
Answer:
For every one hour, there is 25 of the other side, so 1:25?
Step-by-step explanation:
X+4/3=7/9?
Someone help me pls
Answers
(x+4)*(9)=(7)*(3)
9x+36=21
9x+36-36=21-36
9x=-15
9x/9=-15/9
x=-5/3
You need at least 30 cubic feet of sand to fill a sand box. Each bag contains 2.5 cubic feet of sand. What is the minimum number of bags you need to buy?
Answers
Answer:
12 bags of sand
Step-by-step explanation:
The minimum number of sand to fill the sandbox = 30 cubic feet
The volume or quantity of sand per bag is = 2.5 cubic feet
The minimum number of bags needed to fill the sandbox = 30 / 2.5 = 12 bags
an arc with measure less than 180 degrees
Answers
Answer:
A minor arc
Step-by-step explanation: