Solve the equation for h and r. x= r-h/y

The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

BODMAS stands for B - Bracket, O - order of Power, D - Division, M - Multiplication, A - Addition, and S - Subtraction.

To Arrange the expressions below in order from least to greatest. place the least at the top and the greatest at the bottom

72 / 8 - 2 x (3 + 1) equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Thus, The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

Answer:

Therefore, the answer is x = -8.5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

20

Step-by-step explanation:

The line a is an illustration of a linear function

From the complete figure, we have the following points on line a

(x,y) = (0,2) and (2,4)

The slope (m) is calculated using:

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

This gives

\(m = \frac{4 - 2}{2 - 0}\)

Evaluate

m = 1

Hence, the slope of line a is 1

This is calculated as

y = m(x - x1) + y1

So, we have:

y = (x - 0) + 2

Evaluate the difference and the product

y = x + 2

Hence, the equation of the line a is y = x + 2

See attachment for the graph of line a

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Answer:

A = 35
B = 100
C = 25

Step-by-step explanation:

All interior angles in a triangle add up to 180 degrees.
x + 65 + x + 25 = 180
2x + 110 = 180
2x = 70
x = 35

Answer (1):

A=45 B=110

Step-by-step explanation (1):

So the inner degrees has to equal 180.  So you would do this:

\((x+65)+x+25=180\\2x+90=180\\2x=90\\x=45\)

Now substitute 45 for x and check.

\(45+65=110\\110+45+25= < ABC\\180= < ABC\)

Answer (2):

126 degrees.

Step-by-step (2):

Like I said before, the inner degrees has to equal 180.  We would write another equation.  By the way, the red square is for 90 degrees.

\((5x-6)+3x+90=180\\8x+84=180\\96=8x\\x=12\)

Now substitute 12 for x.

Also to find the anterior angle, we would add the 90 and the 3x\(3(12)=36\\90+36=126\\126+(5x-6)=180\\120+5x=180\\180=180\)

Before finding the probability of being dealt 4 Aces of cards, let's find the probability of being dealt an Ace card on each draw.

The probability of getting an specific card from a deck is given by the ratio between the amount of this specific card and the total amount of cards. We have 4 Aces in a deck, and 52 cards, therefore, the probability of getting an Ace is

Since the cards are replaced, it is the same probability of getting an Ace on each draw.

Each draw is an independent event, the probability of them happening simultaneously is given by their product. The probability of being dealt 4 Aces of cards with a replacement is

Answer:

Step-by-step explanation:

Given points:

Slope is:

Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:

Correct option is B.

Step-by-step explanation:

\( m \: = \: -3/5 \: and \: b \: = \: -1/5\)

since it is a square, all sides are 6. and the area would be 36 because 6x6 is 36! and the perimeter is 24! Hope this helps! :)

Answer:

See below

Step-by-step explanation:

Solution with Quadratic Formula

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-8\pm\sqrt{8^2-4(1)(16)}}{2(1)}=\frac{-8\pm\sqrt{64-64}}{2}=\frac{-8}{2}=-4\)

Note that \(a=1,b=8,c=16\)

Solution with factoring (faster)

\(x^2+8x+16=0\\(x+4)^2=0\\x+4=0\\x=-4\)

Answer:

A

Step-by-step explanation:

So we know the slope and a point the line goes through. So, we can use the point-slope form.

The point-slope form is:

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is a point.

Let's substitute 3 for m and (-3,-5) for (x₁, y₁). Thus:

\(y-(-5)=3(x-(-3))\)

Simplify: "

\(y+5=3(x+3)\)

Distribute:

\(y+5=3x+9\)

Subtract 5 from both sides:

\(y=3x+4\)

So, our answer is A.

And we're done!

Answer: The answer is B

Step-by-step explanation:

You multiply 500, 6 times to get 3,000. Then multiply 12, 6 times. So 12 x 6=72

Answer:

2x+4 or 4+2x

Step-by-step explanation:

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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The assumption that is not needed to perform a hypothesis test on a single mean using a z-test statistic is option d) The population must be at least 10 times the size of the sample.

In a hypothesis test on a single mean using a z-test statistic, there are several assumptions that need to be met. These assumptions are necessary to ensure the validity and accuracy of the test.

a) An SRS of size n from the population is an important assumption. It ensures that the sample is representative of the population and reduces the likelihood of bias.

b) Known population standard deviation is another assumption. This assumption is used when the population standard deviation is known. If it is unknown, the t-test statistic should be used instead.

c) Either a normal population or a large sample (n ≥ 30) is another assumption. This assumption is necessary for the z-test to be valid. When the population is normal or the sample size is large, the sampling distribution of the sample mean is approximately normal.

d) The population must be at least 10 times the size of the sample is not a requirement for performing a hypothesis test on a single mean using a z-test statistic. This statement does not correspond to any specific assumption or condition needed for the test. Therefore, option d) is the correct answer as it is not an assumption needed for the test.

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5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Given:

M(4,2) is the midpoint of AB and A(-5, -3).

To find:

The coordinates of B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

M(4,2) is the midpoint of AB and A(-5, -3).

\(M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)\)

\((4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)\)

On comparing both sides, we get

\(4=\dfrac{-5+a}{2}\)

\(8=-5+a\)

\(8+5=a\)

\(13=a\)

And,

\(2=\dfrac{-3+b}{2}\)

\(4=-3+b\)

\(4+3=b\)

\(7=b\)

Therefore, the coordinates of point B are (13,7).

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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After expansion the expression is,

⇒ 65x/4 + 39/16

We have to given that;

Expression is,

⇒ 13/4 (5x + 3/4)

Now, We can simplify the expression by expansion,

⇒ 13/4 (5x + 3/4)

⇒ 5x × 13/4 + 13/4 × 3/4

⇒ 65x/4 + 39/16

Thus, After expansion the expression is,

⇒ 65x/4 + 39/16

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Answer:

41

Step-by-step explanation:

Step 1:

12x - 7          Equation

Step 2:

12 ( 4 ) - 7       Input x value

Step 3:

48 - 7       Multiply

Answer:

41        Subtract

Hope This Helps :)

Answer:

Step-by-step explanation:

steps are below

step 1

12x-7  equation

12(4)-7

step 2

(12)(4)-7  Evaluate the equation

step 3

48-7

41  answer

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

Answer:

  4 and 8

Step-by-step explanation:

Let 'a' represent one of the numbers. Then the other is 12-a, and their difference is ...

  a - (12-a) = -4

  2a = 8 . . . . add 12

  a = 4 . . . . . divide by 2

  12-a = 8 . . . . find the other number

The two numbers are 4 and 8.

Answer: x = 4, y = 8

Step-by-step explanation:

Let the two numbers be x and y

sum of the two numbers will be

x + y =  12 ------------------------------1

Difference of the two numbers

x - y  =  -4 ----------------------------- 2

Now, to find the two numbers , we solve equation 1 & 2 together

  x + y =  12

  x - y  =  -4

we now add the two equations to eliminate y

   2x =  8

      x = 4.  Now to find the value of y, we substitute for x in any of the equation above

 x + y  = 12

 4  + y = 12

        y =  12 - 4

        y  =  8

Using the slope formula, it is found that the value of j is 12.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given;

A line with a slope of -1/10 passes through the points (-2,6) and (j,5).

Now,

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

-1/10= 5-6/j+2

-1/10= -1/j+2

10=j+2

j=12

Therefore, by the given slope j will be 12.

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Answer:

B Q¹(1,2).............

As per the unitary method, a family would typically receive an allotment of 160 acres, which is equivalent to one-quarter of a section.

To determine the number of acres a family would receive under the Dawes Act, we need to consider the concept of "sections" and the specific provisions outlined in the Act.

Typically, a family was granted a "homestead" or an allotment, which was a specific portion of land within the reservation. The size of the allotment varied, but the most common allocation was 160 acres, which is equivalent to one-quarter of a section. This allocation was intended to provide enough land for a family to cultivate and sustain themselves.

To better understand the mathematical aspect, let's break it down:

1 section = 640 acres

1/4 section = 160 acres

Therefore, a family under the Dawes Act would typically receive an allotment of 160 acres, which is one-quarter of a section. However, it's essential to note that the actual size of the allotment could vary based on the specific circumstances of the family and the reservation.

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Complete Question:

The term section is a land unit used in surveying that equals 640 acres, or one square mile. according to the Dawes act, how many acres does a family get?

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

Stochastic processes in finance are processes that are randomly determined, with the outcomes being uncertain. These processes are used to model financial markets, and are useful for forecasting future price movements. These processes are usually modeled using a formula, such as the Geometric Brownian Motion (GBM) equation:

dS = μSdt + σSdz

Where dS is the change in the price of an asset over a short time period, μ is the drift term (expected rate of return), S is the current price of the asset, dt is the time period, σ is the volatility, and dz is a random variable.

This equation is used to model the random variations of an asset’s price, and can be used to predict future price movements. By understanding the GBM equation and its parameters, investors can make more informed decisions when trading financial instruments.

Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.

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Complete question

What is the Geometric Brownian Motion equation and how is it used in stochastic processes in finance?

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

Step-by-step explanation:

Domain of a function is given by the set of x-values (Input values) on the graph.

Range of a function is given by the set of y-values (output values) on the graph.

From the graph attached,

Set of time will represent the "domain" and set of snowfall will represent the "range" of the function graphed.

a). Domain of the function: 0 ≤ x ≤ 5

b). Range of the function: 0 ≤ y ≤ 10

Answer:

2cm

Step-by-step explanation:

to get the radius u divide the diameter by 2

hope this is correct and helps

Step-by-step explanation:

Hey there!

Answer is 2cm.

Reason:

Diameter is given = 4 cm

Radius = d/2

= 4/2 = 2cm.

Hope it helps..