Differentiate. . g(x) = log 47(2x - 4) g'(x) = Differentiate. 8 y= log2 (x® + x) d | log2 (x® + x) = 0 = dx Differentiate. 6 9(x) = x (7.5)* g'(x) = The population of Nilam doubles in size every 6 yr. In 1989, its population was 20,000. t т a) Find an exponential function of the form P(t)= Pon' that models Nilam's population after t years. b) Find the equivalent exponential model of the form P(t) = Poen. c) What is Nilam's yearly percentage growth rate? d) Without using a calculator, find Nilam's population in 2007. e) How fast was Nilam's population changing in 1999? t T a) Find an exponential function of the form P(t) = Pon' that models the situation. = = The exponential function is P(t) = (Use integers or fractions for any numbers in the expression.)

Answer:

10 1/3

Step-by-step explanation:

you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer

hope it helps:)

Answer:

Answer: 10 1/3

Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.

Step-by-step explanation:

In conclusion for part A  it would take T - 32.5 minutes to cook a 1.5 kg joint. For part B w is given by the formula w = (T - 25) / (-35). For part C 6.6 kg of beef needs to be cooked for 207 minutes. For part D  5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.

How to solve?

a) To find how long it would take to cook a 1.5 kg joint, we can substitute w = 1.5 into the formula:

T - 35w + 25 = T - 35(1.5) + 25 = T - 32.5

So, it would take T - 32.5 minutes to cook a 1.5 kg joint.

b) To make w the subject of the formula, we need to isolate w on one side of the equation. We can start by subtracting 25 from both sides:

T - 35w = T - 25

Next, we can divide both sides by -35:

w = (T - 25) / (-35)

Therefore, w is given by the formula w = (T - 25) / (-35).

c) To find the weight of beef that needs to be cooked for 207 minutes, we can substitute T = 207 into the original formula:

T - 35w + 25 = 207

Simplifying this equation, we get:

-35w = -232

Dividing both sides by -35, we get:

w = 6.6 kg

Therefore, 6.6 kg of beef needs to be cooked for 207 minutes.

d) To find the weight of beef that needs to be cooked for 3 hours and 48 minutes (which is equivalent to 3 × 60 + 48 = 228 minutes), we can substitute T = 228 into the original formula:

T - 35w + 25 = 228

Simplifying this equation, we get:

-35w = -207

Dividing both sides by -35, we get:

w = 5.91 kg

Therefore, 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.

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Answer:

8

Step-by-step explanation:

Answer:

7x -24x = -17

- 17x = -17

x= 1

Answer:

∠WXY = 107°

Step-by-step explanation:

In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°. ∠W and ∠WXY are adjacent, so they are supplementary. 180° - 73° = 107°.

Another way to do this is to know that there are 360° in a trapezoid. This is a right trapezoid, so two of the angles are 90°. One angle is 73°. 90° + 90° + 73° = 253°. 360° - 253° = 107°.

I hope this helps :))

The measure of angle WXY is,

= 107°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Sides XY and WZ are parallel.

And, Angle W is 73 degrees and angles Y and Z are right angles.

Now, In a trapezoid, adjacent angles are supplementary, meaning they add up to 180°.

Here, ∠W and ∠WXY are adjacent, so they are supplementary.

Hence, We get;

The measure of angle WXY is,

= 180° - 73°

= 107°.

Thus, The measure of angle WXY is,

= 107°

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Answer:

HIya There!!!

________________________

To add fractions, find the LCD and then combine.

Exact Form:

31 /18

Decimal Form:

1.7 ¯ 2

Mixed Number Form:

1  13 /18

________________________

“Happiness resides not in possessions and not in gold, the feeling of happiness dwells in the soul.” – Democritus

________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Answer:

12x+8

Step-by-step explanation:

Hello,

we know all segment lengths except two

one missing is 3x+3-x-2=2x+1

the other one is 3x+1-x=2x+1

so the total is

x + 2x+1 + 2x+1 + x+2 + 3x+1 + 3x+3

= 12x + 8

Hope this helps

The actual distance between the two cities is 288 miles.

A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio.  This means that the scale drawing of the two cities would be smaller than the actual cities.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.

The actual distance between the two cities = (3 x 24) ÷ 1/4

= 3 x 24 x 4 = 288 miles

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The amount of salaries that should be allocated to Grinding for the current period is $32400. So, option 3 is correct.

Divide your annual labor hours by your hourly wage. The only thing left to do is multiply the number of hours by the wage. Using the preceding example, $15 * 2080 equals $31,200. Your yearly pay is indicated here. Stipend: Payment received on a regular basis for employment or services. In particular whether they work in a profession like school, law, or medicine, a salary is the sum of money that an employee receives from their employer each month. The attorney was compensated well. The administration has chosen to increase the compensation for all public employees. An alternative term for salary is income other phrases for "pay"

Given,

Total salaries=$54,000

Total number of employees=5000

Number of employees in Grinding department=3000

The amount of salaries for the grinding current period=($54000×3000)/5000

=$32,400

Therefore, the amount of salaries that should be allocated to Grinding for the current period is $32400. So, option 3 is correct.

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The complete question is:

" salaries $ 54,000 number of employees depreciation 36,000 cost of goods sold advertising 70,000 percentage of total sales department number of employees sales cost of goods sold drilling 2,000 $ 390,000 $ 148,200 grinding 3,000 585,000 241,800 total 5,000 $ 975,000. The amount of salaries that should be allocated to Grinding for the current period is:

Multiple Choice

$22,320.

$11,800.

$32,400.

$18,000.

$54,000."

The areas listed that are possible areas of the square quilts Garrett can make will be 0.25, 0.81, etc.

Your information is incomplete as your didn't give the areas listed. Therefore, an overview will be given.

It should be noted that the area of a square is simply gotten by multiplying the side by itself. For example, if a side is 4cm, the area will be 4 × 4 = 16cm².

In this case, we are told that each patch has an area of 1 ft. Therefore, the square of the area gotten should not be more than 1 feet. Possible values include:

0.5 × 0.5 = 0.25

0.9 × 0.9 = 0.81

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Garrett is cutting square patches from old sports jerseys. Each

patch has an area of 1 ft?. He wants to put some of the

patches together to make square quilts.

Which areas listed below are possible areas of the square

quilts Garrett can make? What side length will each of

those square quilts have? Show your work.

Answer:

B

Step-by-step explanation:

Hope this helps :3

Answer:

39.8°

Step-by-step explanation:

tan∅= opp/adj

tan∅=5m/6m

tan∅=0.8333

arc tan 0.8333=∅

39.8°=∅

We can write the integral of f(x) as the sum of the integral of the even component, e(x), and the integral of the odd component, o(x). This gives us the following equation:  ∫f(x)dx = ∫e(x)dx + ∫o(x)dx

Integrals can be written as the sum of the integral of an odd function and the integral of an even function. This is because any function can be broken down into its even and odd components. Even functions are those that remain unchanged when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the same as the result for its negative. Odd functions are those that change sign when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the negative of the result for its negative.

The integral of an even function is the same regardless of whether it is written as the sum of the integral of an odd function and the integral of an even function, or if it is written just as an integral of the even function. The integral of an odd function is the negative of the integral of the even function when written as the sum of the two integrals.

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The bonus question asks for the application of the integral test to determine the convergence of the series given by 2n*e^(-a).

The integral test is a method used to determine the convergence or divergence of a series by comparing it to the integral of a related function. In this case, we are given the series 2n*e^(-a), and we can use the integral test because the terms of the series involve the variable 'n', and the function e^(-a) can be integrated.

To apply the integral test, we consider the integral of the function corresponding to the series. In this case, we integrate the function f(x) = 2x*e^(-a) from 1 to infinity. If this integral converges, then the series is also convergent. Conversely, if the integral diverges, then the series is divergent.

By evaluating the integral of f(x) and analyzing its convergence or divergence, we can determine whether the given series 2n*e^(-a) converges or diverges. Showing all the steps in evaluating the integral and discussing the convergence properties of the resulting integral will be necessary to receive full credit for this question.

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Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

The following is most likely a parameter as opposed to a statistic is registered voters in a county.

A parameter in statistics is any measurable number of a statistical population that summarises or describes some aspect of the population, as opposed to its typical application in mathematics, such as a mean or a standard deviation. A limited collection of factors that perfectly characterise a population and may be used to create a probability distribution for the purposes of taking samples from that population can be assessed if it exactly follows a known and defined distribution, such as the normal distribution.

The family is a parameterized family if the index is also a parameter of its members. The normal distributions, Poisson distributions, binomial distributions, and exponential family of distributions are examples of parameterized families of distributions.

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The length of side x is √2 units. The solution has been obtained by using the trigonometry formulas.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry." In order to find the unknown or missing angles or sides of a right triangle, one can apply the trigonometric formulas, functions, or identities. Angles can be expressed in radians or degrees in trigonometry. The most frequent trigonometric angles used in calculations are 0, 30, 45, 60, and 90 degrees.

We are given a right-angled triangle with hypotenuse 2units.

We know that sin theta = opposite side/hypotenuse

Also, sin 45° = 1/√2

So,

⇒sin 45° = x/2

⇒1/√2 = x/2

⇒2/√2 = x

⇒√2 = x

Hence, the length of side x is √2 units.

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Answer:

(5 x + 1) - (-10 x + 6)

5x +1 + 10x - 6

25x - 5

Step-by-step explanation:

(x - 2) - (6x - 9)

x - 2 - 6x + 9 =

-5x +7

(5 x + 1) - (-10 x + 6)

5x +1 + 10x - 6

25x - 5

-4 x + 2 x + 7 - 3 x

-5x + 7

(4 x + 3) + (-9 x + 4)

4x +3 -9x + 4

-5x + 7

The Expression which not gives (-5x+ 7) is  (5 x + 1) - (-10 x + 6).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

1. (x - 2) - (6x - 9)

= x - 2 - 6x + 9

= -5x +7

2. (5 x + 1) - (-10 x + 6)

= 5x +1 + 10x - 6

= 25x - 5

3. -4 x + 2 x + 7 - 3 x

= -5x + 7

4. (4 x + 3) + (-9 x + 4)

= 4x +3 -9x + 4

= -5x + 7

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Using it's concept, it is found that the probability that a person with an iron deficiency is 20 years or older is given by:

c. 0.60

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that there are 102 people with iron deficiency, and of those, 37 +24 = 61 are 20 years or older, hence the probability is given by:

p = 61/102 = 0.6.

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Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

If Sarah will spin the spinner 120 times, we can predict that the number of times she will land on a shaded section will be approximately15.

Since the spinner has 8 congruent sections and only 1 of them is shaded, the probability of landing on a shaded section on any one spin is 1/8. Since Sarah will spin the spinner 120 times, we can predict that the number of times she will land on a shaded section will be approximately 1/8 of 120, which is 15.

It is important to note that this is only a prediction and the actual number of times the spinner lands on a shaded section could be different due to the random nature of the spin. However, if the spinner is truly random and evenly balanced, then the predicted number of 15 times landing on a shaded section is a reasonable estimate.

To get a more accurate prediction, Sarah could conduct an actual experiment and record the number of times the spinner lands on a shaded section. She could then use this data to calculate the experimental probability of landing on a shaded section and compare it to the predicted probability of 1/8.

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Complete question is:

The spinner shown has eight congruent sections and only 1 of them is shaded .Sarah will spin the spinner 120 times. What is a reasonable prediction for the number of times the spinner will land on a shaded section?

Answer:

20

Step-by-step explanation:

Answer:

B.) No, because not all of the pairs represent the same ratio.

Step-by-step explanation:

B.) No, because not all of the pairs represent the same ratio.

Answer:

\(x=3, JM=9\)

Step-by-step explanation:

The triangles are congruent by SAS. Using CPCTC,

\(9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9\)

-24d -31.8

Simplifying process:

6(-4d-8.3+3d)

-24d -49.8 +18

-24d -31.8

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

The X Axis on a Graph

The horizontal line (left-to-right) represents the X axis.

The y-axis is a vertical number line and goes up and down.

Answer:

hii simple answer here

The x-axis goes from left to right, while the y-axis goes from bottom to top.

The quadratic function is sometimes onto for the set B of all real numbers greater than or equal to 4, depending on the value of the leading coefficient a.

For a quadratic function, the general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

If we consider the set B to be all real numbers greater than or equal to 4, we need to determine whether the quadratic function can pair every element in B with at least one element in the set A (the domain of the function).

In this case, since the set B includes all real numbers greater than or equal to 4, we can find values of x for which the quadratic function will map to elements in B. Therefore, the quadratic function is sometimes onto for this set B.

To be more specific, for a quadratic function f(x) = ax^2 + bx + c, if the leading coefficient a is positive, the parabola opens upward, and there will be a minimum point. This minimum point will have a y-value greater than or equal to the minimum value of B. Therefore, the function can map elements from the domain A to the set B.

However, if the leading coefficient a is negative, the parabola opens downward, and there will be a maximum point. This maximum point will have a y-value less than or equal to the maximum value of B. In this case, the function will not be onto because there will be values of B that cannot be paired with any element in A.

Therefore, the quadratic function is sometimes onto for the set B of all real numbers greater than or equal to 4, depending on the value of the leading coefficient a.

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Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.

                                          And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.

Answer:

A neighborhood in New York City with a large African American community

Step-by-step explanation:

i don't know

Answer:

An area of Long Island that produced some of the greatest bits of American culture.