if f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1).

Answer:

the approximate percent increase of Misha's test score is 33% !

Step-by-step explanation:

Answer: 33.3333%

Step-by-step explanation:

Percent Increase Formula

c = x2-x1/x1

x2- final value

x1- initial value

c= 80-60/60 = 33.3333%

The equation of the red graph is g(x) = -x².

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

g(x) = -x²

For x = 0, 1, 2, 3, 4, 5, ......

g(1) = 0

g(1) = -1

g(2) = -4

g(3) = -9

g(4) = -16

Thus,

The graph of red graph is g(x) = -x².

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Answer:

Step-by-step explanation:

Let x be the number of 1-point shots and y be the number of 2-point shots. We know that the total number of shots is 59 and the total number of points is 99. We can write these two equations as follows:

x + y = 59

1x + 2y = 99

To solve this system of equations, we can use substitution. We can solve the first equation for y and substitute the result into the second equation:

y = 59 - x

1x + 2(59 - x) = 99

1x + 118 - 2x = 99

-x = -19

x = 19

Now that we know the value of x, we can substitute it into the first equation to find the value of y:

y = 59 - 19 = 40
Therefore, the team made 19 1-point shots and 40 2-point shots.

The expression that shows that Angie still owes victor is 20-d.

In algebra, an expression can be used to represent a value that may or may not be dependent on the values given to the variables that appear in the expression. The semantics associated with the expression's symbols are used to determine its value. The expression's context affects the semantic choice. Depending on the presumed order of operations by the context.

When an expression involves division by 0, for example, the semantic rules may state that it does not indicate any value; yet, despite having an undefined value, these expressions are still well-formed. Expressions generally have a wide range of meanings.

Given,

The number of dollars borrowed by Angie from victor is 20 dollars

And also given that Angie paid d dollars back to victor.

The expression that shows that Angie still owes victor is 20-d.

Therefore, the expression that shows Angie still owes victor is 20-d.

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Answer:

17%

Step-by-step explanation:

Let us say there are 200 people on the JV swim team. That would mean that 110 people do not wear glasses.

Of these 110 people, 30% are in 10th grade. Therefore, 33 people are in 10th grade and do not wear glasses.

This is 33 people ÷ 200 total = 16.5% ≈ 17%

Therefore, there is a 17% probability that a randomly chosen member of the jv swim team does not wear glasses and is in the 10th grade

[NOTE] You could also just do 55% × 30% = .55 × .30 = .165 ≈ .17 ⇒ 17%

Option a) ab + bc > ac is correct.

The first method by which we can solve this question is,

We have to know about the property of the triangle,

According to the property of the triangle, if we consider a triangle with lines ab, bc, ac and  -

Therefore, we can conclude that ⇒ ab + bc > ac and ab - bc < ac

In the second method, let us consider the given triangle as right-angled,

So, according to the property of the right-angled triangle or Pythagoras' Theorem,

The square of the hypotenuse is equal to the square of the other two sides, let us consider the sides of the triangle = ab, bc, ac.

ABC is a right-angled triangle -

[tex]ab^{2} + bc^{2} = ac^{2}[/tex]

[tex]ab + bc > ac[/tex]

Therefore, we can conclude that, options a) ab + bc > ac is correct.

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Answer:

To find the difference between the cash price and the hire purchase price, we need to calculate the total hire purchase price.

First, we need to find the outstanding balance after the deposit is paid. We can do this by subtracting the deposit from the cash price:

outstanding balance = cash price - deposit

= Rs 65,000 - Rs 20,000

= Rs 45,000

Next, we need to calculate the total interest to be paid over the 2 1/2 year period. We can do this using the following formula:

total interest = outstanding balance * interest rate * time period

= Rs 45,000 * 18% * 2 1/2 years

= Rs 20,250

Finally, we can add the outstanding balance and the total interest to find the total hire purchase price:

total hire purchase price = outstanding balance + total interest

= Rs 45,000 + Rs 20,250

= Rs 65,250

The difference between the cash price and the hire purchase price is the difference between the total hire purchase price and the cash price. So we can calculate this as follows:

difference = total hire purchase price - cash price

= Rs 65,250 - Rs 65,000

= Rs 250

Therefore, the difference between the cash price and the hire purchase price is Rs 250.

I hope this helps!

= 20 000 + 1.18(65 000 - 20 000)

= 20 000 + 1.18(45 000)

= 20 000 + 53 100

= 73 100

73 100 - 65 000

= 8 100

Therefore, you will spend RS 8 100 more if you buy Hire Purchase Price than the Cash Price of Television.

The radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.

Radius=a straight line extending from the center of a circle or sphere to the circumference or surface: The radius of a circle is half the diameter. the length of such a line.

The radius of convergence of the sum of the two series will be 5.

sigma (cnxn + dnxn) = sigma cnxn + sigma dnxn, and if both the series on the right-hand side converge.

The LHS converges for values of x on which both the series on the RHS converge. Hence, the LHS will converge on the intersection of the convergence of the two RHS series.

( if 5 < |x| < 6, the second series will converge, but the first will not.)

The series sigma cnx9n has radius of convergence R raised to the power 1/9.The series sigma cnxn has radius of convergence R. This means that it converges for |x| < R.The series sigma cnx9n can be written as sigma cn(x9)n

This means that the series converges for |x9| < R.

Therefore, the radius of convergence of the series sigma cnx9n will be R raised to the power 1/9.

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The solution of the equation for values of a is 1/(x - 1)

From the question, we have the following parameters that can be used in our computation:

a^2x - a = ax

Rewrite properly as

a²x - a = ax

Divide through by a

So, we have

ax - 1 = x

Collect the like terms

ax - x = 1

Factor out x

This gives

a(x - 1) = 1

Divide both sides by x - 1

a = 1/(x - 1)

Hence, the solution is 1/(x - 1)

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Answer:

Step-by-step explanation:

Dividing 168 by the smallest prime number          168 ÷ 2 = 84

84 is again divisible by 2                                           84 ÷ 2 = 42

42 is an even number and divisible by 2                   42 ÷ 2 = 21

Now, 21 is divisible by the next prime number, i.e.3   21 ÷ 3 = 7

7 is a prime number itself                                            7 ÷ 7 = 1

Answer:

Area = 3w^2 - 6w

Step-by-step explanation:

Area = width * length

width = w

length = 3w - 6

Area = w (3w - 6)

Area = 3w^2 - 6w

Answer:

Area of rectangle = 3w² - 6w

Step-by-step explanation:

      Width = 'w' ft

      three times of width = 3*w = 3w

             six less than 3w = 3w - 6

   length = 3w - 6

     [tex]\sf \boxed{\bf Area \ of \ rectangle = length*width}[/tex]

                                      = (3w - 6)*w

                                      = 3w*w - 6*w

                                      = 3w² - 6w

The number of ways cans a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position, is 84.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

A president, vice president, and secretary be chosen from a committee of 9 people,

Calculate the number of ways by using the combination as shown below,

[tex]N = 9C_3[/tex]

Here, N is the number of ways,

N = 9! / [3!(9-3)!]

N = 9! / [3!6!]

N = 84

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Answer:

Step-by-step explanation

The tens digit of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceeds twice the original number by 2 more than the sum of the digits. Find the original number.

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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The probability that every color will be represented in the sample of 5 is 35/7776.

For the stated question, box contains-

probability = favourable outcome/ total outcome

5 marbles are selected with out replacement.

Thus,

Probability of getting all color will occur is-

P(all color) =  (4C2)*(5C1)*(6C1)*(7C1) + (4C1)*(5C2)*(6C1)*(7C1) + (4C1)*(5C1)*(6C2)*(7C1) + (4C1)*(5C1)*(6C1)*(7C2) / (10C5)⁴

P(all color) = 6*5*6*7 + 4*10*6*7 + 4*5*15*7 + 4*5*6*21 / 36⁴

P(all color) = 1260 + 1680 + 2100 + 2520 / 1679616

P(all color) = 7560 / 1679616

P(all color) = 35/7776

Thus, the probability that every color will be represented in the sample of 5 is 35/7776.

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Answer: $0.99

Step-by-step explanation: 8.5x0.06=0.51. 8.5+0.51=9.01. 10-9.01=0.99. Henry would get $0.99 in change.

The probability is that this is least 2 collisions within the next 3 insertions using linear probing is 0.7.

Required probability

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The variable that researchers are trying to explain or predict is called the response variable. It is also sometimes called the dependent variable because it depends on another variable.

Variables used to explain or predict a response variable are called explanatory variables.

The students want to predict age using their height, so the explanatory variable is height and the response variable is age.

The values ​​of an ordinal variable have a meaningful order. For example, an education level (with possible values ​​of high school, bachelor's degree, and graduate degree) can be an ordinal variable.

"Hand" belongs to "Clock". "Experience" also belongs to "Year". So if he has 10 years of experience in the industry, no apostrophes are needed. An apostrophe is required if you have more than 10 years of experience.

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Answer:

145 degrees

Step-by-step explanation:

the 2 angles are on a flat line so added together they equal 180 degrees

so we can subtract from 35 from 180 to find x

180-35

145

hopes this helps

The formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.

The height of a plant is considered to be "h".

The increase percentage per week =14

Compound interest is the interest you earn on interest. This may be illustrated via way of means of the usage of primary math: in case you have $one hundred and it earns 5% interest every year, you may have $one hundred and five on the cease of the primary year. At the cease of the second one year, you may have $110.25.

Now,

h=8(1+r/100)^t

h=8(1+14/100)^t

h=8(114/100)^t

h=8(1.14)^t inches

Therefore, the formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.

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In an ideal circumstance, two people using 56k modems could exchange approximately 448,000 bits of digital information in one minute time. This is equal to 56,000 bytes of data per second (56kbps).

In an ideal circumstance, two people using 56k modems could exchange digital information at a rate of 56 kilobits per second (56kbps). To calculate the amount of data transferred in one minute, we need to multiply 56kbps by 60 seconds. This gives us a total of 3,360 kilobits, or 3.36 megabits. Since one byte is equal to 8 bits, we can divide 3.36 megabits by 8 to get the total number of bytes exchanged. This calculation results in 420,000 bytes, or 448,000 bits, of digital information exchanged in one minute of time.

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The inverse function for this problem is defined as follows:

P^(-1)(x) = square root of (x + 100/5), x ≥ -100.

The function in this problem is defined as follows:

P(x) = 5x² - 100, x ≥ 0.

In which P(x) is the profit earned when x tamales are sold.

To obtain the inverse function, first we exchange the variable y = P(x) and x are follows:

x = 5y² - 100

Then the variable y must be isolated as follows:

5y² = x + 100

y² = (x + 100)/5

y = square root of (x + 100/5).

The domain must be the same domain of the square root function, that does not accept negative values hence:

P^(-1)(x) = square root of (x + 100/5), x ≥ -100.

This means that the first option is correct.

The problem is given by the image shown at the end of the answer.

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If we want the margin of error for the 90% confidence level to be about 1.5%, then a sample of 3002 is recommended.

In this problem, we want to find n for which  the margin of error for the 90% confidence level to be about 1.5%

From part (a), the 90% confidence interval is (0.435, 0.525)

the margin of error M = 0.015

0.015 = 1.645√(0.48 * 0.52)/n

(√n) ² = (0.015)²

n = 3001.9

n ≈ 3002

Therefore, a sample of 3002 is recommended.

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The complete question is:

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot a ord it. (a) Calculate a 90% con dence interval for the proportion of Americans who decide to not go to college because they cannot a ord it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% con dence level to be about 1.5%. How large of a survey would you recommend?

Answer:

Step-by-step explanation:

Number of pints | 16 | 32| 48|

Number of galll. |  2  | 4 | 6 |

Those are 3 ratios

16:2

32:4

and 48:6

You multiply by 2 to get 3 ratios

An integer to represent the situation, the temperature was 3° below zero is -3.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

1) The stock market increased 75 points

Integer to represent the given situation is +75 or 75.

2) A loss of 15 yards

Integer to represent the given situation is -15

3) Nancy owes her friend $10

Integer to represent the given situation is -10

4) Frederick is located 290 feet above sea level

Integer to represent the given situation is 290 or +290

5) The temperature was 3° below zero

Integer to represent the given situation is -3.

Therefore, an integer to represent the situation, the temperature was 3° below zero is -3.

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Answer:

x = 3

Step-by-step explanation:

x + 6 = 9

Subtract 6 from both sides :

x = 9 - 6

x = 3

Hope this helped and have a good day

Answer:

x = 3

Step-by-step explanation:

x + 6 = 9  Subtract  from both sides of the equation

x + 6 - 6 += 9 - 6

x = 3

Check:

x + 6 = 9

3 + 6 = 9

9 = 9 Checks

Take the square root of each side.

[tex]\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5[/tex]