For the function f(x) = 7x³ - 8x² + 5x + 5, find f''(x). Then find f''(0) and f''(6). For the function f(x) = x²/4+X' find f''(x). Then find f''(0) and f''(3).

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

Answer:

21°

angles don't change in dilutions but lengths do

plssmark brainliesttt

Answer:

Step-by-step explanation:

when x = 7 and y = - 2

3x + 4y

= 3 * 7 + 4 * (-2)

= 21 - 8

= 13

Hope it helps :)

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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The square root x^4= x^2

Answer: 27.2

Step-by-step explanation: add up the values then divide by the amount of values (6)

Answer:

58.5

Step-by-step explanation:

0.65 decimal form

then times that by 90

then you got the answer 58.5

Answer:

Answer is option d mark as brainiest give 100 point

Answer:

B

Step-by-step explanation:

The domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the span of x-values covered will be all real numbers. This is because the graph will stretch infinitely in both directions (as indicated by the arrows at the end of the graph), thereby covering all x-values.

So, the domain is all real numbers. In set notation, this is:

\(\{x|x\in \mathbb{R}\}\)

RANGE:

We can see that the span of y-values will always be greater than or equal to -1. This is because the lowest point of the graph is y=-1. The graph will never go below this point. However, it will extend infinitely upwards from this point.

So, our range is all real numbers greater than or equal to -1. In set notation, this is (and we use y because this describes the range):

\(\{y\in\mathbb{R}\ |y\geq -1}\}\)

Therefore, our answer is B.

Answer:

B

Step-by-step explanation:

Answer:

hope this helps you

God bless you ☺️☺️

Answer:

11. Ans;

\(f(x) = 2x - 3 \\ g(x) = x + 1 \\ \\ (fog)(x) = f(g(x)) \\ = 2(x + 1) - 3 \\ = 2x + 2 - 3 \\ = 2x - 1 \\ \\ (fog)(3) = f(g(3))\\ = 2(3) - 1 \\ = 6 - 1 \\ = 5\)

_____o____o______

\((gof)(x) = g(f(x)) \\ = (2x - 3) + 1 \\ = 2x - 3 + 1 \\ = 2x - 2 \\ \\ (gof)( - 2) = g(f( - 2)) \\ = 2( - 2) - 2 \\ = - 4 - 2 \\ = - 6\)

I hope I helped you^_^

9514 1404 393

Answer:

  D)  (f⋅g)(x)=8x2−2x−15

Step-by-step explanation:

  (f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)

  = 8x² +10x -12x -15

  (f·g)(x) = 8x² -2x -15

The temperature is 77°F if you hear 156 chirps per minute and  is 59°F if you hear 84 chirps per minute.

Given, the outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63"F and at 176 chirps per minute, the temperature is 81"F. We need to find the temperature if you hear 156 chirps per minute and 84 chirps per minute.

Let the temperature corresponding to 104 chirps per minute be T1 and temperature corresponding to 176 chirps per minute be T2. The corresponding values for temperature and chirp rate form a linear relationship. Taking (104,63) and (176,81) as the two points on the straight line and using slope-intercept form of equation of straight line:

y = mx + b

Where m is the slope and

b is the y-intercept of the line.

m = (y₂ - y₁)/(x₂ - x₁) = (81 - 63)/(176 - 104) = 18/72 = 0.25

Using point (104,63) and slope m = 0.25, we can calculate y-intercept b.

b = y - mx = 63 - (0.25 × 104) = 38

So the equation of the line is given by y = 0.25x + 38

a) Temperature if you hear 156 chirps per minute:

y = 0.25x + 38

where x = 156

y = 0.25(156) + 38y = 39 + 38 = 77

So, the temperature is 77°F if you hear 156 chirps per minute.

b) Temperature if you hear 84 chirps per minute:

y = 0.25x + 38

where x = 84

y = 0.25(84) + 38y = 21 + 38 = 59

So, the temperature is 59°F if you hear 84 chirps per minute.

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Answer:

Exact form:

x = 4/5

Decimal Form:

x = 0.8

Step-by-step explanation:

Answer

B is the answer

Answer:

1. We need CB = GH

2. We need AC = XZ

Step-by-step explanation:

Here, we want to know the additional information needed to have the triangles equal by the given congruency principle

1) ASA

this mean angle-side-angle

We already have two angles marked equal, we need one side of each being made equal

So for example if we had CB = GH, then the congruency principle will work

2) SSS means that the three sides are equal in value

We already have two equal sides

We need the third side

The third side we need equal here is AC and XZ

Answer:

Its C On Edge Just Took The Quiz

Step-by-step

Answer:

c

Step-by-step explanation:

took quiz 100%

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:175ft cube is the volume of the figure.

Step-by-step explanation:The volume of lower part is,

V=L*B*H

V=5*7*2

V=70ft cube

Volume of upper grade part is,

V2=L*B*H

V2=3*5*7

V2=105ft cube

Therefore total volume=V+V2

=175 ft cube

Answer:

The number in the green box should be, 11

in scientific notation, we get the number,

\((9.32)(10)^{11}\)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Look at the blue number 9.32. The decimal point is in between the 9 and the three. On the problem the decimal point is at the very end after the last zero, all the way to the right. It is understood, that means it's not written. So how many hops does it take to get the decimal from the end all the way over to in between the nine and the three? It takes 11 moves. The exponent is 11

Answer:

If a recipe calls for 5 teaspoons of honey for every 2 cups of sugar, then the ratio of honey to sugar is 5:2. Since Tracy has only 3 teaspoons of honey left, she should use (3/5)*2 = 6/5 = 1.2 cups of sugar to appropriately adjust the recipe.

Step-by-step explanation:

The sum of their probabilities should equal 1, as the total probability of all possible outcomes must be 1.

The equation that describes the relationship between p and q is p + q = 1. In probability theory, p and q represent the frequencies or probabilities of two mutually exclusive events A1 and A2. Since A1 and A2 are mutually exclusive, only one of them can occur at a time. Therefore, the sum of their probabilities should equal 1, as the total probability of all possible outcomes must be 1.

By convention, p is used to represent the probability of event A1, and q is used to represent the probability of event A2. So, the equation p + q = 1 captures the relationship between the frequencies or probabilities of the two events, ensuring that the total probability is accounted for.

For example, if p = 0.7, it means that event A1 has a probability of 0.7 or a frequency of 70%, and q = 0.3 represents event A2 having a probability of 0.3 or a frequency of 30%. The equation p + q = 1 holds true in this case, as 0.7 + 0.3 = 1.

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Answer:

125feet

Step-by-step explanation:

Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.

The arrow reaches the maximum height at dh/dt = 0

dh/dt = -32t + 80

0= -32t+80

32t = 80

t = 80/32

t = 2.5secs

substitute t = 2.5 into the formula;

h = -16t^2 + 80t + 25

h = -16(2.5)^2 + 80(2.5) + 25

h = -16(6.25)+225

h = -100+225

h = 125

Hence the maximum height the arrow reaches is 125feet

Answer:

what ____________________________

Answer:

36+2w=96

2w=96-36=60

w=60/2=30

Step-by-step explanation:

perimeter is 96, that means length + length + width + width = 96.

say l is length and w is width.

since we know length is 18, 18+18+width+width = 96

36+2w=96

2w=96-36=60

w=60/2=30

Answer:

Step-by-step explanation:

perimeter of the rectangle = length x width

P = 2 (l + w)

96 = 2 (18 + w)

96 = 36 + 2w

60 = 2w

w = 60/2

w = 30 cm

Answer:

\(\frac{7}{48} = B\)

Step-by-step explanation:

Convert 3 to fraction 12\4

5\8 - 5\12( 12\4 - 1\4 ) + 2\3

-

Since 12\4 and 1\4 have the same denominator, subtract them by subtracting their numerators.

5\8 - 5\12 ( 12-1\4 ) + 2\3

-

Subtract 1 from 12 to get 11.

5\8 - 5\12 ( 11\4 ) + 2\3

-

multiply 5\12 times 11\4 by multiplying numerator times numerator and denominator times denominator.

5\8 - 5 x 11 \ 12 x 4 + 2\3

Do the multiplications in the fraction

5 x 11 \ 12 x 4

= 5\8 - 55\48 + 2\3

-

Least common multiple of 8 and 48 is 48.Convert 5\8 and 55\48  to fractions with denominator 48.

30\48 - 55\48 + 2\3

-

Since 30\48 and 55\48 have the same denominator, subtract them by subtracting their numerators.

30 - 55 \ 48 + 2\3

-

Subtract 55 from 30 to get −25.

-25\48 + 2\3

Least common multiple of 48 and 3 is 48. Convert -25\48 and 2\3 to fractions with denominator 48.

-25\48 + 32\48

Since -25\48 and 32\48 have the same denominator, add them by adding their numerators.

-

-25 + 32 \ 48

Add −25 and 32 to get 7.

7\48

The number of cups of popcorn got by each person is 2.25.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given that 4 people share 9 cups of popcorn equally.

To determine the number of cups of popcorn got by each person

Since 9 cups of popcorn are equally distributed among 4 people

So the number of cups of popcorn got by each person = 9/4

The number of cups of popcorn got by each person = 2.25

Hence, the number of cups of popcorn got by each person is 2.25.

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Answer:

C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts

Step-by-step explanation:

it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.

To verify that y = e^(-x/4) is an explicit solution of the differential equation 4y'(x) * y(x) = 0, we need to find the derivative of y(x), substitute the given function and its derivative into the equation, and check if the equation holds true.


1. Find the derivative of y(x) = e^(-x/4) with respect to x:
y'(x) = d/dx (e^(-x/4)) = (-1/4) * e^(-x/4)

2. Substitute y(x) and y'(x) into the differential equation:
4 * (-1/4) * e^(-x/4) * e^(-x/4) = 0

3. Simplify the equation:
(-1) * e^(-x/2) = 0


Since the simplified equation, (-1) * e^(-x/2) = 0, is not true for any x, the function y = e^(-x/4) is NOT an explicit solution of the given differential equation 4y'(x) * y(x) = 0 on the interval I.

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The product of z1 and z2 is 81/2 + 27i*sqrt(6)/2 by using trigonometric identities.

To find the product of z1 and z2, we can use the formula for multiplying complex numbers:
z1 * z2 = (18*cos225 + 18i*sin225) * (3*cos240 + 3i*sin240)
Using trigonometric identities, we can simplify this expression:
z1 * z2 = 54*cos225*cos240 + 54i*sin225*cos240 + 54i*cos225*sin240 + 54*sin225*sin240
Now we can use the values of cosine and sine for 225 and 240 degrees:
cos225 = -sqrt(2)/2, sin225 = -sqrt(2)/2
cos240 = -sqrt(3)/2, sin240 = -1/2
Substituting these values, we get:
z1 * z2 = 54*(-sqrt(2)/2)*(-sqrt(3)/2) + 54i*(-sqrt(2)/2)*(-1/2) + 54i*(-sqrt(3)/2)*(-sqrt(2)/2) + 54*(-sqrt(2)/2)*(-1/2)
Simplifying this expression, we get:
z1 * z2 = 81/2 + 27i*sqrt(6)/2
Therefore, the product of z1 and z2 is 81/2 + 27i*sqrt(6)/2.

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