Answers
==========================================
Work Shown:
f(x) = x^3 - x^2 + x - 1
f ' (x) = 3x^2 - 2x + 1
f ' (2) = 3(2)^2 - 2(2) + 1
f ' (2) = 9
In step 2, I used the power rule [tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]
Related Questions
6x2 + 13x - 15
x + 3
Answers
Answer:
13
Step-by-step explanation:
6x2=12+13=25-15=10+3=13
Diego then says, If we take half of the first number and double the second, the sum is 14. Write an equation that could represent this description. what is the solution?
Answers
Step-by-step explanation:
let the first number be x
let the second number be y
½ of the first number= ½x
Double the second; 2*y=2y
the sum... that is ½x+2y=14
The equation that could represent this description will be (1/2)x + 2y = 14.
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Diego then says, If we take half of the first number (x) and double the second (y), the sum is 14. Then the equation is given below.
(1/2)x + 2y = 14
The equation that could represent this description will be (1/2)x + 2y = 14.
More about the conversion of sentences into equation link is given below.
https://brainly.com/question/10606712
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Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. A 2 column table with 4 rows with the column on the left labeled medium with entries water, air, glass, diamond. The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements? Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship. Lisa is correct because light travels through air at the fastest speed, and speed and frequency have a direct relationship. Neither person is correct because light does not change frequency when it travels through different media. Both people are correct because light has both an inverse and a direct relationship with frequency, depending on the media.
Answers
The correct answer is
c) Neither person is correct because light does not change frequency when it travels through different media
we have given that The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24.
What happened when light travels through the different media?light changes both wavelength and speed when it travels through different media, but the frequency remains the same
light changes both wavelength and speed when it travels through different media, but the frequency remains the same.
Therefore the option c is correct that
Neither person is correct because light does not change frequency when it travels through different media
To learn more about the wavelength visit:
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Answer:
The answerb is c
Step-by-step explanation:
Neither person is correct because light does not change frequency when it travels through different media.
A smoothie shop charges $4.80 for a small size 12-ounce smoothie and $6.40 for a large size 16-ounce smoothie. Find which smoothie is the better buy (lower cost per ounce) by finding each unit price.
A. $4.80 for the 12-ounce smoothie is the better buy.
B. $6.40 for the 16-ounce smoothie is the better buy.
C. Both items are the same per ounce.
Answers
Answer:
C. the same
Step-by-step explanation:
4.80 divided by 12 equals .40
6.40 divided by 16 equals .40
The breadth of a cuboid is one-fourth of length and height is two-thirds of the length. If the volume of the cuboid is 288 m' find the total surface area.
Answers
Answer: Total surface area of cuboid = 312 sq m
Step-by-step explanation:
Let the length of the cuboid be " X "
Then the breadth of it will be X/4
and the hight of it will be X × 2/3
So the volume will be
= L × B × H
= X × X ÷4 × X× 2÷3
2 X ^ 3
= --------------
12
X^3
= ------------- = 288
6
X^3 = 288 × 6 =1,728
X = cuberoot 1,728
= 12
Length 12
Breadth 12÷4 = 3
Hight 12 × 2 ÷3 = 8
Total surface area of cuboid
= 2 LB +2 BH +2 LH
= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8
= 312 sq m
Write sin 64° in terms of cosine.
Answers
Answer:
Step-by-step explanation:
Rule
The sin of any angle = cos(90 - the angle used for the sine)
Sin(64) = cos(90 - 64)
Sin(64) = cos(26)
Check
Sin(64) = 0.8988
Cos(26) = 0.8988
sin (90-x)=cos (x) ( Trigonometry Indentity)
So, sin (90-26)= cos (26) = sin (64)
Cosine and Sine values appear to be related complementary, as in the above answer. If you’ve seen the pattern such as
cos (0) = sin (90)
cos (30) = sin (60)
cos (45) = sin(45)
cos(60) = sin (30)
cos (90) = sin (0),
The sum of the angles equal 90 degrees.
hello people ~
factorise: 21x² - 55x - 14
Answers
This equation cannot be factorised, at least not easily. It would require decimals and that's not worth the time. Instead you can use the quadratic formula to solve for x, which works for any quadratic equation:
[tex]\frac{-b + or - \sqrt{b^{2} - 4ac} }{2a}[/tex]
a being the x^2 coefficient
b the x coefficient
and c the constant
here a = 21
b = -55
c = -14
let's solve this one:
[tex]\frac{-(-55) + \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]You can simply input this into a calculator to find the answer, or you can work it out mentally.
= 2.852740993
Now, since this is a quadratic we need to possible values of x. So we just redo the same formula, but this time with a negative square root:
[tex]\frac{-(-55) - \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]
= -0.2336933736
You can round these answers however you like, but I would recommend doing to either 3 significant figures, either 2 or 3 decimal places.
Answer:
[tex]\displaystyle [7x - 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when summed to 55, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus sign because the B-value is −55, therefore 49 gets the minus sign, leaving 6 with the plus sign. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 55x + 14 \\ \\ [21x^2 + 6x] - [49x + 14] \\ 3x[7x - 2] - 7[7x - 2] \\ \\ \boxed{[7x - 2][3x - 7]}[/tex]
I am joyous to assist you at any time.
**For all you moderatours out there, this user made a typographical errour with the symbol of the C-value. It was supposed to be 14, not −14. BELIEVE ME.
2)
A person places $81200 in an investment account earning an annual rate of
3. 6%, compounded continuously. Using the formula V Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 13 years.
Answer:
Submit Answer
Answers
Answer:
A = $129,659.95
Step-by-step explanation:
the equation used for compound is A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.
A = 81,200.00(2.71828)^(0.036)(13)
The lifespans of a particular brand of graphing calculator are approximately normally distributed with a mean of 620 days from the purchase date and a standard deviation of 82 days. They will provide a warranty that guarantees a replacement if the calculator stops working within the specified time frame and are trying to decide what time frame to use.
a. If the company sets the warranty at a year and a half (say 540 days), what proportion of calculators will they have to replace ?
b. The company doesn’t not want to replace more than 1% of the calculators they sell. What length of time should the set for the warranty?
c. The company would like to set the warranty for 540 days, and still replace no more than 1% of the calculators sold. Increasing the average life of the calculators is too expensive, but they think they reduce the standard deviation of the lifespans. What standard deviation of lifespans would be needed to make this happen ?
d. Explain what achieving a smaller standard deviation means in this context.
Answers
Answer:
They will provide a warranty that guarantees a replacement if the calculator stopsworking within the specified time frame, and are trying to ...
Step-by-step explanation:
make me as brain liest
A student has received the following test scores: 71%, 89%, 72%,
84% and 83%. What is the lowest score/grade they can receive
on the next test to maintain at least an 80% average?
Answers
Answer: 81%
Step-by-step explanation:
From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,
84% and 83% in 5 tests and the student wants to maintain an average of 80%.
The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:
First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:
= 80 × 6
= 480
We then add all the 5 test scores. This will be:
= 71 + 89 + 72 + 84 + 83
= 399
We then subtract the values gotten. This will be:
= 480 - 399
= 81
This means the student must get at least 81%
Which is the smallest set of real number that contains the the value "Square root of 50"
Answers
Answer:
7.071
Step-by-step explanation:
Hope this helps (:
Considering only the values of α for which tanαcos(2α) is defined, which of the following expressions is equivalent to tanαcos(2α)?
Answers
The equivalent expression at the point where it is undefined is ∞
Undefined expressionGiven the trigonometry expression
tanαcos(2α)
From trigonometry identity;
tanα = sinα/cosα
The expression above will become:
tanαcos(2α) = sinαcos(2α)/cosα
The function is undefined at the point where cosα = 0
cosα = 0
α = arccos(0)
α = 90degrees
Substitute α = 90degrees into the expression;
tanαcos(2α) = tan 90 cos(180)
tanαcos(2α) = ∞
Hence the equivalent expression at the point where it is undefined is ∞
Learn more on trigonometry identity here: https://brainly.com/question/24496175
trent drank 3/5 of a gallon of water. nicholas drank 2/3 of a gallon. who drank more water?
Answers
Answer:
Nicholas.
Step-by-step explanation:
2/3 is also 10/15
3/5 is also 9/15
10/15 is more, so 2/3 is more
Hope this helped :D
Answer:
Nick, drank 1/15 more
Step-by-step explanation:
1. Create Equation
2/3-3/5
2. Solve
2/3-3/5
10/15-9/15
1/15
Steps for solving 5(2x - 8) = 20 are shown.
5(2x - 8) - 20
10X-40 - 20
10x - 40+ 40 - 20 + 40
10x = 60
10x 60
10 10
X-6
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
ОООО
O C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property
Answers
explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.
While solving the equation 5(2x - 8) = 20, we used the distributive, combining like terms and Division property but commutative property is not part of the solution process, option D is correct.
The given equation is 5(2x - 8) = 20.
Using the distributive property, we get:
10x-40=20
Add 40 from both sides:
10x-40+40=20+40
Combining like terms:
10x=60
Divide both sides by 10 to isolate the variable:
10x/10=60/10
x=5
Hence, for solving the equation we have not used the commutative property. option D is correct.
To learn more on Equation:
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what is the difference between a bisector and a perpendicular bisector?
Answers
Answer:
In Geometry, “Bisector” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.
A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point. Thus, we can say, a perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.
Hope it helps!
Have a nice day!
Please help me vote you brainiest
Answers
Answer:
7 = 84
Step-by-step explanation:
3 + 4 = 7
36 + 48 = 84
7 = 84
Hope this helps :)
What is the value of s?
Answers
Answer: s = 12 degrees
Step-by-step explanation:
We know that the sum of angles in a triangle is 180 degrees.
So we can set up an equation to find s given that:
7s + 4s + s + 36 = 180
Combine like terms:
12s + 36 = 180
Subtract 36 from both sides:
12s = 144
Divide both sides by 12:
s = 12
BRAINLY ENSURED PLEASE HELP!!!!!
Select the correct answer from each drop-down menu.
A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with the sides of the tent.
The central pole forms a right triangle with the floor of the tent. The_____________of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is __________ . Applying ___________, we find that the angle the tent pole makes with the sides of the tent is ____________ .
First blank choices:
sine
cosine
tangent
Second blank choices:
.77
.38
.65
1.30
Third Blank choices:
arcsine
arctangent
arccosine
Fourth blank choices:
67.7
39.6
49.5
Please help!! WILLL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Answers
The angle the tent pole makes with the sides of the tent is 39.6 degrees
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle the tent pole makes with the sides of the tent. Hence:
cosФ = 20/26
Ф = 39.6 degrees
The angle the tent pole makes with the sides of the tent is 39.6 degrees
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
Answer:
The central pole forms a right triangle with the floor of the tent. The
cosineof the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is
0.77. Applying
arccosine, we find that the angle the tent pole makes with the sides of the tent is
39.6.
Step-by-step explanation:
Explain how you would use addition to find the product of -2 and 5 using the integer tiles and the number line?
Answers
Answer:
this is hard-
Step-by-step explanation:
The length of a rectangle is 30 meters. This is 6 meters more than three times the width.
Answers
8 times 3 is 24
24+6=30
Answer:
The width is 8 meters.
Step-by-step explanation:
30-6=24
24/3=8
width=8 meters
The area of circle A is 45 square units. Circle A and circle B are related by a scale factor of 4 3/4
Complete the following statements:
The area of circle B is 45 x ______
The ratio of the area of circle A to the area of circle B is _____
Answers
Both circles are similar, therefore:
The area of circle B is: 33.75 sq. units.
The ratio of the area of circle A to that of circle B = 9/16 = 0.75
What is the Area of Similar Circles?The ratio of the area of similar circles = ratio of the square of their scale factor.
Given the following:
Area of circle A = 45 sq. units.
Scale factor = 3/4
The area of circle B = 45 × 3/4 = 33.75 sq. units.
The ratio of the area of circle A to that of circle B = (3/4)² = 9/16 = 0.75
Learn more about area of similar circles on:
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Write an inequality that represents the graph.
Answers
Answer:
y=2x+1
Step-by-step explanation:
Y intercept is 1 and slope is 2/1
What is the mean absolute deviation of the data shown below?
Answers
Explanation:
Mean is the average therefore
2.1+3.0+8.0+1.7+3.8+4.5+2.5+4.6=30.2
Then divide it by 8 because that’s the amount of values
Answer: 3.775 which rounds up to 3.78 :)
Can I have brainliest (I think that’s how you spell it)
what is the answer of 9-4m=19?
Answers
Answer:
[tex]9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5[/tex]
hope helpful~
Answer:
m=-2.5
Step-by-step explanation:
In which of the following would you multiply both sides of the equation by n?
Solve m/n=p for m.
Solve m - n = p for m.
Solve mn = p for m.
Solve m + n = p for m.
Answers
Answer:
first question : solve for m: multiply both sides by n
m/n=p
m*(n)/n=p*n
m= p*n
Step-by-step explanation:
to solve for m in the first part, you have to get rid of the extras next to m. in this case because m is divided by n, if we multiply both sides by n, both n on the m side will cancel out n/n=1 . this will leave m*1= n*p
because we can ignore the coefficient 1, the solution of ot will give you m=n*p
this also answers the question that's asked in the first place. in the first question, you have to multiply both sides by n in order to get the answer.
can i get some help with this pls
Answers
Answer:
61.875
length 3
width 2.5
hight 8.25
How do you simplify this expression?
Answers
Each of the terms here (64, a^3, b^15, c^6) have a cube root.
The cube root of 64 is 4, the cube root of a^3 is a, the cube root of b^15 is b^5, and the cube root of c^6 is c^2.
You end up with the square root of 4 times a times b^5 times c^2
√4ab⁵c²
the base of a 17-foot ladder is placed 8 feet away from a wall what is the height of the wall if the other end of the ladder reaches the top
Answers
It would be A.15ft
Step-by-step explanation:
What is the volume of prism G?
Answers
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the height of the prism.
Maths x please help
Answers
Hello
the same colour = ( RR- BB)
= 3/7 x 3/7 + 4/7 x 4/7
= 9/49 + 16/49
= 25/49