if ∫−104g(x)dx=−3 and ∫64g(x)dx=5, then ∫6−10g(x)dx=

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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3/7  is the probability that martin is served a main course.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                            In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

A = Served with main course

n(A) = 6

S = sample space total no of different courses

n(S) = 6 + 3 + 5 = 14

P(A) = n(A)/n(S)  = 6/14 = 3/7

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In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\)

Then the hypotenuse will be.

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2\)

Thus, the hypotenuse is 32.2 inches.

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Answer:

c

my-step explanation:

Khan acadimy

The inequality that represents the following graph is C. x > -4

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.

The inequality that represents the graph;

x > -4x>−4x, is greater than, minus, 4

x > -4

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The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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Answer:

150

Step-by-step explanation:

Answer: 675, I believe.

Explanation: 15% of 4500 is 675. Correct me if I'm wrong, since I haven't had to do math in awhile lol  

The area of the circle is 1790.49 centimeters square

To calculate the area of the circle, we shall need the radius of the circle

We can get the radius from the arc length

Mathematically, the length of an arc is;

From the question, the length is 15 cm while the central angle is 36

Thus we have;

Mathematically, the area of the circle will be;

The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart.

It is composed of three atomic orbitals: one s-orbital and two p-orbitals. The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart. The combination of these three orbitals forms a hybrid orbital that is shaped like a flat trigonal planar, with a bond angle of 120 degrees. This hybrid orbital is known as the sp2 hybrid orbital.

The "s" in sp2 stands for the s-orbital, which is a single, spherical orbital. The "p" represents the two p-orbitals, which have two lobes and form an angle of 120 degrees with each other. The "2" in sp2 indicates that two p-orbitals are involved in the hybridization process. The hybridization of the s and two p-orbitals creates the sp2 hybrid orbital, which is trigonal planar in shape.

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Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

19/8

Step-by-step explanation:

\(\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}\)

Answer:

56.74502 units^2

Step-by-step explanation:

area = pi*radius^2

area = (3.14159265359)(4.25)^2

area = 56.74502 units^2

Answer: PN= 20 in.

Step-by-step explanation:

Given: In triangles PMN and QSR :

Length of P N ≅ Length of RQ  (1)    [ '≅' → Sign of congruence]

Length of QS ≅ Length of PM

Length of MN ≅ Length of RS

By SSS congruence rule

ΔPMN ≅ ΔQSR

Since Length of QR =20 in. [Given]

From (1)

Length of PN= 20 in.  [Congruent means exactly equal]

Answer:

Its C brudda

Step-by-step explanation:

Ronaldo>Messi

It's \(x<4\) since it's opened dot and head toward negative infinity.

Answer:

I think that it is ×<4

Step-by-step explanation:

I hope this helps you

Answer:

5.8 h po salamat

salamat po

Answer:

-5

Step-by-step explanation:

-2-3 is -5 :>

Answer:

y=-5

Step-by-step explanation:

The final answer is 24,024

In the given statement is :

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5

To find the how many divisions are possible

Let us understand the:

What do you mean by Permutation?

A Permutation is an act of arranging the objects or number in order.

Formula of Permutation :

The formula for Permutations is : n P r = n! / (n - r)!

n p r = n! /(n-r)!

14 P 4 = 14 ! / (14-4)!

= 14 × 13 × 12 × 11 x 10! / 10!

= 14 × 13 × 12 × 11

= 24,024
Hence, The answer is 254,024

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Answer:

Step-by-step explanation:

20

The inequality that could be used to find the number of seconds will be 15.4 - 0.5t < 5.4 + 0.75t.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that,

Xander's water bottle has 15.4 oz of water in it and Xander is drinking 0.5 oz of water each second as a result the obtained equation is,

15.4 - 0.5t

On the other hand, Leon's water bottle has 5.4 oz of water in it and Leon is adding 0.75 oz of water each second as a result the obtained equation is,

5.4 + 0.75t

Xander < Leon,

15.4 - 0.5t < 5.4 + 0.75t

On simplifying we get

t > 8

Thus, the inequality that could be used to find the number of seconds will be 15.4 - 0.5t < 5.4 + 0.75t.

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Answer:

80 10x8 is 80

your welcomr

Answer:

See below ~

Step-by-step explanation:

Change in KE if mass is doubled

Change in KE if speed is doubled

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Given:

The equation is:

\((2x+1)(x-2)=0\)

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

\(ax^2+bx+c=0\)            ....(i)

We have,

\((2x+1)(x-2)=0\)

In can be rewritten as

\(2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0\)

\(2x^2-4x+x-2=0\)

\(2x^2-3x-2=0\)             ...(ii)

On comparing (i) and (ii), we get

\(a=2,b=-3,c=-2\)

Therefore, the correct option is C.

Answer:

=−18y4−27y3+81y2

Step-by-step explanation:

− y 2 − 8 y + 21

Hope this helped!!!

Answer:A) 8 miles

Step-by-step explanation:

8 miles

Answer:

20

Step-by-step explanation:

4+40-3(8)

44-24

20

Answer: 20

Step-by-step explanation:

(2)^2+4(10)-3(10-2)

PEMDAS!

(2)^2+4(10)-3(8)

4+4(10)-3(8)

4+40-24

44-24

20

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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To find the mean square error (MSE), we need the squared differences between the observed values and the predicted values, summed and divided by the number of observations.

To find the mean square error (MSE), we need a set of observed values and their corresponding predicted values. The MSE is calculated by finding the average of the squared differences between the observed and predicted values.

Here is a step-by-step process to calculate the mean square error:

1. Gather the observed values and their corresponding predicted values.

2. For each pair of observed and predicted values, calculate the squared difference (i.e., subtract the predicted value from the observed value and square the result).

3. Sum up all the squared differences calculated in step 2.

4. Divide the sum from step 3 by the total number of observations to find the average.

5. Round the result to two decimal places, if necessary.

Please provide the observed values and their corresponding predicted values so that we can calculate the mean square error accurately.

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