Elon is paid by the hour. He earned $50 for a 4 hour workday. How much
does he earn in one hour?

Answer:

the simplest form of 15/20 is 3/4

Answer:

Option A is the correct answer. ; x=-2/3 and x=3/2

Step-by-step explanation:

We have been given that p(x)=(3x+2)(2x−3) is a polynomial.

According to the question's statement, Question asks us to find the zeros of the polynomial.

Let's head to the question in order to get required answer.

p(x)=(3x+2)(2x−3)

=> p(x) = 3x(2x-3) + 2(2x-3)

=> p(x) = 6x² - 9x + 4x - 6

=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)

Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).

p(x) = (3x+2)(2x-3)

=> 0 = (3x+2)(2x-3)

=> (3x+2) = 0 or (2x-3) = 0

=> x= -2/3 or x = 3/2

Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

Now, we are given the following:

We are to solve for b, which means that we are to make b the subject of the formulae:

Step 3:

Now, solving for b, we have that:

h

Answer:

Not really,maybe he just went in to find something,just that he didn't that's why maybe he didn't steal anything

Step-by-step explanation:

Answer:

Not necessarily. The robbers might've seen something or someone in your house and ran. They also could've heard something and thought you were home. So, if a robber breaks into your house but runs almost immediately you migt want to get your house checked out. Or, the robbers did think you were poor. Sorry.

Step-by-step explanation:

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

Answer:

C.

Step-by-step explanation:

5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z

Answer:

the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

given

(-4,3) and (-8,6)

slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4

slope is -3/4

Step-by-step explanation:

Answer:

(y2-y1)/(x2-x1)

(6+1)/ (-8-10)

7/ -18 is the slope

Step-by-step explanation:

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

Answer:

24% i think i hope it the right answer

Step-by-step explanation:

Answer:

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Step-by-step explanation:

Rahul- 1.54m

Akash- 1500mm

Meera- 152cm

Lakshmi- 1560mm

Let's start by converting all the measurements to meters.

Rahul is already in meters, so he can just stay the same.

1500mm = 1.5m

152cm = 1.52m

1560mm = 1.56m

So our new measurements are:

Rahul- 1.54m

Akash- 1.5m

Meera= 1.52m

Lakshmi= 1.56m

We can now make our conclusions.

A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)

B) Lakshmi is the tallest, 1.56m tall

Answer:

Step-by-step explanation:

Let's convert all the heights to meters:

Rahul 1.54m

Akash 1.50 m

Meera 1.52 m

Lakshmi 1.56m

Now, let's arrange their heights in ascending order (shortest to tallest):

Akash 1.50 m

Meera 1.52 m

Rahul 1.54m

Lakshmi 1.56m

a) 1500 mm, 152 cm, 1.54 m, 1560 mm

b) therefore Lakshmi is the tallest.

Option B (22,16,18,36)

Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Add all the numbers (22+16+18+36) = 92

Avarage = sum of the all given numbers/ total numbers

total numbers =4

so avarage= mean= 92/4 =23

(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.

Hence the answer is (22,16,18,36).

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Answer:

From the given information the answer should be m angle e= 105 degrees.

Step-by-step explanation: Well you have triangle PQR equal to triangle DEF. That means it has the same angle measurement as well as side measurement. You would add 13 and 62 to sum to 75. Then we know triangles equal 180 degrees. Then subtract 75 from 180 to get 105 degrees.

The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03

To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.

To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).

Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03

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Answer:

200 students

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

40% out of 500 students taking Spanish.

Find it in number:

Answer:

19

Step-by-step explanation:

Answer:

the answer is 19

Step-by-step explanation:

you have 9 things then you added then you will get 19

There are actually three null hypotheses associated with a two-way ANOVA. These null hypotheses are related to the main effects of each of the two factors, as well as the interaction effect between the two factors. Each of these null hypotheses must be tested separately in order to fully understand the results of the ANOVA.

In a two-way ANOVA, there are three null hypotheses associated with the analysis. These hypotheses are used to examine the effects of two independent factors on a dependent variable. The three null hypotheses are as follows: 1. The first null hypothesis (H01) states that there is no significant effect of the first independent factor on the dependent variable, meaning that all the levels of the first factor have the same population mean. 2. The second null hypothesis (H02) states that there is no significant effect of the second independent factor on the dependent variable, meaning that all the levels of the second factor have the same population mean. 3. The third null hypothesis (H03) states that there is no interaction effect between the two independent factors on the dependent variable, meaning that the combined effect of the two factors is not significantly different from the sum of their individual effects.

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As a rough estimate, 100g of sugar is equivalent to 0.5 cups of granulated sugar.

Conversion is the process of changing units of measurement from one system to another.

In this case, we need to convert 100g of sugar into cups. However, the conversion factor for sugar varies depending on factors such as the type of sugar and how densely it is packed. For instance, powdered sugar is denser than granulated sugar, and so the conversion factor will differ.

In general, one cup of granulated sugar weighs around 200g, which means that 100g of sugar is equivalent to 0.5 cups. However, it is essential to note that this conversion factor is approximate and can vary depending on the quality and type of sugar used.

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Complete Question:

how many cup sugar in 100g?

Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

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There are 840 ways for NASA to make this selection. Total number of ways melissa and wade can sit together is 96.

We can use the combination formula to solve this problem. The number of ways to choose 2 men from 6 is C(6,2) = 15, and the number of ways to choose 3 women from 8 is C(8,3) = 56. To find the total number of ways to make the selection, we multiply these values together: 15 x 56 = 840.

To solve this problem, we can treat Melissa and Wade as a single unit and then arrange the other 3 people and the Melissa-Wade unit in 4 seats. There are 4 ways to arrange Melissa and Wade (MW, WM, AMW, WMA). After that, we have 4 seats left, and we need to arrange 3 people (Anna, Chris, and Nora) and the Melissa-Wade unit in those seats. There are 4 people to arrange in 4 seats, so there are 4! = 24 ways to do this. Therefore, the total number of ways to seat Melissa and Wade together is 4 x 24 = 96.

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The total area of the two rectangles is given by the equation A = 33 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total area of the 2 rectangles be A

Now , each grid square represents = 1 square unit

Now , let the first rectangle be represented as P

The length of P = 4 grid squares

The width of P = 3 grid squares

Let the second rectangle be represented as Q

The length of Q = 7 grid squares

The width of Q = 3 grid squares

So , Area of Rectangle = Length x Width

The area of rectangle P = 4 x 3

The area of rectangle P = 12 units²

The area of rectangle Q = 7 x 3

The area of rectangle Q = 21 units²

So , the total area of figure A = area of P + area of Q

On simplifying the equation , we get

Total area of figure A = 12 units² + 21 units²

Total area of figure A = 33 units²

Therefore , the value of A is 33 units²

Hence , the area is 33 units²

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Answer:

B) x=16

Step-by-step explanation:

The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent

We also know that \(base^{exponent}\) = argument

so therefore the new equation is \(3^{4}\) = 5x+1

3 to the fourth power is 81

so 81=5x+1

then solve algebraically

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Step-by-step explanation:

Hey there!

Given ratio is= 1:4

Let "X" be the common factor. So,

x+ 4x = £150

5x = £150

X = £150/5

X = £30

OR ;

1:4 = 1*30 : 4*30

Therefore, the answer is 30:120.

Hope it helps...

Answer:

30:120

Step-by-step explanation:

1+4=5

150 divide 5=30

30x1=30

30x4=120

30:120

Answer:

x=50

Step-by-step explanation:

This is a vertical angle, so the angle on top and the bottom are equal

[2(x+10)]=3x-30

2(x+10)=3x-30

2x+20=3x-30

50=x

Answer:

Below

Step-by-step explanation:

For RIGHT triangles

Cos (21°) = adjacent leg / hypotenuse

cos ( 21°) = x / 21

re-arrange to

21 * cos (21°) = x      then use calculator to find x = 19.6 units

( it may not look like it from the picture...but the picture is not drawn to scale :  a 21° angle is much smaller than pictured)

We have to find the missing values of the table by substituting the input or output values in the given equation,

Here, y = output values of the function

x = input values

For x = 12,

y + 5 = \(\frac{12}{4}\)

y = 3 - 5

y = -2

For x = 0,

y + 5 = \(\frac{0}{4}\)

y = 0 - 5

y = -5

For y = 0,

0 + 5 = \(\frac{x}{4}\)

x = -5×4

x = -20

For y = -8,

-8 + 5 = \(\frac{x}{4}\)

x = -3×4

x = -12

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Yes, there is a continuous utility function that represents a rational preference relation when it is both continuous and monotone.

In a two-commodity framework, let's assume the two commodities are represented by X and Y. We can construct a diagram with the axes representing the quantities of X and Y. The indifference curves, which represent the bundles of X and Y that yield the same level of utility, can be plotted on this diagram.

Since the preference relation is continuous and monotone, we can draw the indifference curves as smooth, upward-sloping curves without any gaps or jumps. The upward slope reflects the monotonicity, indicating that more of either X or Y is preferred to less.

To represent this preference relation with a continuous utility function, we can assign utility levels to different bundles of X and Y. For example, we can assign a utility level of 1 to a specific bundle (X₁, Y₁), and higher utility levels to bundles that are preferred to (X₁, Y₁).

By assigning utility levels in a continuous manner across the diagram, we can construct a continuous utility function that represents the rational preference relation. This function will map each bundle of X and Y to a corresponding level of utility.

In conclusion, for a rational preference relation that is continuous and monotone in a two-commodity framework, there exists a continuous utility function that represents this preference relation. The utility function can be constructed by assigning utility levels to different bundles of commodities, and the resulting indifference curves on a diagram will be smooth, upward-sloping curves. This relationship between the utility function and the preference relation allows us to mathematically model and analyze the choices and preferences of individuals in economics.

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