How can I screen shot my math problem in send it to here in get the answer

Answers

Answer 1

Answer:

click the windows and the print screen button

Step-by-step explanation:


Related Questions

please help!!!!!11!!!111!!!!!!!!

please help!!!!!11!!!111!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

Trey's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Trey $5.80 per pound, and type B coffee costs $4.25 per pound. This month, Trey made 142 pounds of the blend, for a total cost of $724.40. How many pounds of type A coffee did he use?

Answers

Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

What is a system of equations?

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

Equations:

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Compute i to the 93 power In algebra 2

Answers

i^93 = i^92 x i

i^92 =(i^2)^46

Now you have i(i^2)^46

i^2 = -1

Now you have i(-1)^46

-1^46 = 1

Now you have 1i which = i

The answer is i

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)

Answers

Answer:

x=3.00 or x= 8.00

Explanation:

Let us denote side of the cut-out square as x inches

Then base of box = 16-2x by 6-2x

The volume = V = (16-2x)(6-2x)

= 96-3x-12x+4x

dV/dx = 96-44x+4x^2

= 0 for a max V

divide by 4

X^2 -11x +24=0

Using quadratic formula to solve the equation

X= (11± √11^2-(4×1×24)/2

(11± √25)/2

x= 3 or 8inches

From the equation of volume = V = x(16-2x)(6-2x)

Substitute

let x = 3 , V = 3(16-6)(6-6) = 0

let x = 8 , V = 8(16-16)(6-16) = 0

Therefore, the maximum volume exist at both point x=3 or x= 8

you know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically significantly different. you go online and collect data from 3 different stores, gathering information on 15 products at each store. you find that the average prices at each store are: store 1 xbar

Answers

Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

How to test for significance among the store prices

Hypotheses:

H₀: There are no systematic price differences between the stores

Hₐ: There are systematic price differences between the stores

The degrees of freedom for between-groups (stores) is

dfB = k - 1 = 3 - 1 = 2, where k is the number of groups (stores).

The degrees of freedom for within-groups (products within stores) is

dfW = N - k = 15 x 3 - 3 = 42, where N is the total number of observations.

Assume the significance level is 0.05.

The F-statistic is calculated as:

F = (SSB/dfB) / (SSW/dfW)

where SSB is the sum of squares between groups and SSW is the sum of squares within groups.

ANOVA table

Kindly find the table on the attached image

To determine whether to reject or fail to reject H0, compare the F-statistic (F) to the critical value from the F-distribution with dfB and dfW degrees of freedom, at the α significance level.

The critical value for F with dfB = 2 and dfW = 42 at 0.05 significance level is 3.13

Conclusion:

Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

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Question is incomplete, find the complete question below

You know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically significantly different. You go online and collect data from 3 different stores, gathering information on 15 products at each store. You find that the average prices at each store are: Store 1 xbar = $27.82, Store 2 xbar = $38.96, and Store 3 xbar = $24.53. Based on the overall variability in the products and the variability within each store, you find the following values for the Sums of Squares: SST = 683.22, SSW = 441.19. Complete the ANOVA table and use the 4 step hypothesis testing procedure to see if there are systematic price differences between the stores.

Step 1: Tell me H0 and HA

Step 2: tell me dfB, dfW, alpha, F

Step 3: Provide a table

Step 4: Reject or fail to reject H0?

you know that stores tend to charge different prices for similar or identical products, and you want

The same garden shop sells mulch according to the equation y = 20x, where y represents the cost in dollars, and x represents the number of cubic yards of mulch. Which statement is true of the cost of topsoil and mulch?

Answers

Answer:

20 = cost per mulch of cubic yards sold

Step-by-step explanation:

Given:

y = 20x

Where,

y = the total cost in dollars

x = the number of cubic yards of mulch

20 = cost per mulch of cubic yards sold

The only untrue statement is that the cost of topsoil and mulch is 20

Answer:

20

Step-by-step explanation:

Help me solve this problem please

Help me solve this problem please

Answers

Answer: (2, -2)

x=2, y=-2

Answer:

(2, -2)

Step-by-step explanation:

4x + y = 6

x - 2y = 6

x = 2y + 6

4(2y + 6) + y = 6

8y + 24 + y = 6

9y + 24 = 6

9y = 6 - 24

9y = -18

y = -18 ÷ 9

y = -2

4x + (-2) = 6

4x - 2 = 6

4x = 6 + 2

4x = 8

x = 8 ÷ 4

x = 2

Confirm:

4x + y = 6

4(2) - 2 = 6

8 - 2 = 6

6 = 6 (Correct)

(2, -2)

Is this correct? I’m too tired and confused to understand this..

Is this correct? Im too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region

Answers

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

brainliest if correct​

brainliest if correct

Answers

4.

A slope is the steepness of the line, rise over run, change in y over change in x

A translation is a type of transformation that moves each point in a figure the same distance in the same direction (up, down, left right).

5. reflection on y-axis

6. vertical translation & horizontal translation

7. horizontal translation & vertical stretch

8. vertical translation & Horizontal stretch

9. vertical translation & horizontal translation & reflection over the x-axis & horizontal translation

10. vertical translation & horizontal stretch

HOPE THIS HELPS!

What is the range of y=−x2−6x+1?

Answers

Answer:

All real numbers / (-∞, ∞) / R

Step-by-step explanation:

The equasion provided is a linear equasion meaning it can be written in the y=ax+b format, where both a and b are real numbers. All linear eqasions have a range of all real numbers, you can write this using the three solutions provided.

You can solve this two ways, number one would be to put this in a graphing calculator and number two would be reducing the equasion to the y=ax+b format.

Method 1:

look at image provided. The app is PhotoMath.

Method 2:

Write the equasion:

y = -2x - 6x + 1

Collect like terms:

y = -8x + 1

This now proves that the equasion is linear becuase you can write it in the y=ax+b format. a being -8 and b being 1.

What is the range of y=x26x+1?

Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?

Answers

Answer:

18%

Step-by-step explanation:

413-350=63%

(63/350)*100=18%

If a lawnmower has a cost price of $2500 and was sold for $2895 what is the percentage profit

Answers

The profit percentage for the lawn owner is 15.8%

Profit Percentage:

Profit means, if the selling price of a product is more than its cost price, there is a profit earned in the transaction.

So, it can be calculated as,

Profit = Selling Price - Cost Price

The formulas for profit percentage is,

Profit percentage(P%) = (Profit /Cost Price) × 100

Given,

Here we need to find the profit percentage, If a lawnmower has a cost price of $2500 and was sold for $2895.

Based on the question,

We know that,

Cost Price = $2500

Selling Price = $2895

So, the profit is,

profit = $2895 - $2500

profit = $395

Now, the profit percentage is calculated by apply the values on the formula,

profit percentage (P%) = (395/2500) x 100

Therefore,

P% = 395/25

P% = 15.8%

Therefore, the profit percentage for the lawn owner is 15.8%.

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express the integral e f(x, y, z) dv as an iterated integral in six different ways, where e is the solid bounded by the given surfaces. y

Answers

To express the integral e f(x, y, z) dv as an iterated integral in six different ways, where e is the solid bounded by the given surfaces, we need to determine the limits of integration for each variable. Let's assume that the solid e is bounded by the surfaces g1(x,y,z), g2(x,y,z), h1(x,y,z), and h2(x,y,z).

The first way to express the integral is by integrating with respect to x first, then y, then z:
∫∫∫e f(x, y, z) dv = ∫h1(z)h2(z) ∫g1(y,z)x ∫g2(y,z)x f(x,y,z) dx dy dz

The second way is by integrating with respect to y first, then x, then z:
∫∫∫e f(x, y, z) dv = ∫g1(x)g2(x) ∫h1(z)y ∫h2(z)y f(x,y,z) dy dx dz

The third way is by integrating with respect to z first, then x, then y:
∫∫∫e f(x, y, z) dv = ∫g1(x)g2(x) ∫h1(y)x ∫h2(y)x f(x,y,z) dz dx dy

The fourth way is by integrating with respect to x first, then z, then y:
∫∫∫e f(x, y, z) dv = ∫g1(y)g2(y) ∫h1(z)y ∫h2(z)y f(x,y,z) dx dz dy

The fifth way is by integrating with respect to y first, then z, then x:
∫∫∫e f(x, y, z) dv = ∫h1(x)h2(x) ∫g1(z)x ∫g2(z)x f(x,y,z) dy dz dx

The sixth way is by integrating with respect to z first, then y, then x:
∫∫∫e f(x, y, z) dv = ∫h1(x)h2(x) ∫g1(y)z ∫g2(y)z f(x,y,z) dz dy dx

In all six ways, the limits of integration are determined by the bounding surfaces of the solid e. By integrating iteratively with respect to each variable, we can find the volume of the solid e.
The solid E is bounded by the given surfaces.

Here are the six different ways to express the integral as an iterated integral:

1.

dx dy dz order:
∫∫∫_E f(x, y, z) dx dy dz

2.

dx dz dy order:
∫∫∫_E f(x, y, z) dx dz dy

3.

dy dx dz order:
∫∫∫_E f(x, y, z) dy dx dz

4.

dy dz dx order:
∫∫∫_E f(x, y, z) dy dz dx

5.

dz dx dy order:
∫∫∫_E f(x, y, z) dz dx dy

6.

dz dy dx order:
∫∫∫_E f(x, y, z) dz dy dx

Each of these six ways represents a different order of integrating the function f(x, y, z) over the solid E, which is bounded by the given surfaces. The choice of the order of integration depends on the specific problem and the boundaries of the solid E. When solving a problem, you should carefully analyze the given surfaces and choose the most suitable order of integration to make the calculations easier.

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find the slope (6,-12) (-16,-13)

Answers

Answer:

-1/22

Step-by-step explanation:

Car Rollovers In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly selected passenger car crash results in a rollover. Is it unlikely for a car to roll over in a crash?

Answers

The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

We have,

To find the probability that a randomly selected passenger car crash results in a rollover, we divide the number of rollovers by the total number of crashes:

Probability of a rollover = Number of rollovers / Total number of crashes

Probability of a rollover = 83,600 / (83,600 + 5,127,400) ≈ 0.016

The probability of a rollover is approximately 0.016, or 1.6%.

Since the probability is relatively low, it can be considered unlikely for a car to roll over in a crash.

Thus,

The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

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draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.

Answers

The structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid is shown below.

We have,

To draw the structure of an optically inactive fat that, when hydrolyzed, gives glycerol, one equivalent of lauric acid, and two equivalents of stearic acid.

Here's the structure of an optically inactive fat that, when hydrolyzed, yields glycerol, one equivalent of lauric acid, and two equivalents of stearic acid:

       H              H         H

        |               |           |

H O - C - C - C - C - C - C - C - C - C - C - C - C - C - C - O H

        |               |          |

      H             OH       OH

In this structure, the fatty acids attached to the glycerol backbone are lauric acid (C₁₂:0) and stearic acid (C₁₈:0).

The hydrolysis of this fat will break the ester bonds between the glycerol and the fatty acids, resulting in the formation of glycerol, one molecule of lauric acid, and two molecules of stearic acid.

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what is the ans of a and b

what is the ans of a and b

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Expressed as the product of its prime factors

324 = 2² × \(3^{4}\)

(b)

\(\sqrt{324}\)

= \(\sqrt{2^2}\) × \(\sqrt{3^{4} }\)

= 2 × 3²

= 2 × 9

= 18

2. For the given data: Air flowing at 504000 kilograms per second at a speed of 27 kilometers per hour. Assume the power coefficient of the wind turbine is the maximum possible as given by the Lanchester-Betz limit and gear, generator and electric efficiencies are 92%, 93% and 91% respectively. Determine the following: i. Wind power. ii. Mechanical power that could be achieved by the wind turbine rotor. iii. Electrical power output of the wind turbine.

Answers

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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A utility company charges $0. 12 per kilowatt-hour for energy a customer uses. They give a credit of $0. 0025 for every kilowatt-hour of electricity a customer with a solar panel generates that they don't use themselves. A customer has a charge of $82. 04 and a credit of -$4. 10 on this mouth bill. How many kilowatt-hour did they generate that they didn't use themselves?

Answers

The 683.67 kilowatt-hour was charged while 1640 kilowatt-hour generated the credit by not being used.

The amount of electricity consumed will be calculated by the formula -

Amount of electricity consumed = total charged amount ÷ amount of unit electricity consumed

The amount of electricity that earned the credit will be calculated by the formula -

Amount of electricity that earned the credit = total reduction amount ÷ credit on unit electricity

Keep the values in formula

Amount of electricity consumed = 82.04/0.12

Performing division on Right Hand Side of the equation

Amount of electricity consumed = 683.67

Amount of electricity that earned the credit = 4.10/0.0025

Performing division on Right Hand Side of the equation

Amount of electricity that earned the credit = 1640

Thus, the amount of electricity consumed is 683.67 units and unused electricity is 1640 units.

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Show that ⊢ (x > 1) a = 1; y = x; y = y – a; (y > 0 ^ x
> y)

Answers

The proof shows that if the premises (x > 1), a = 1, y = x, y = y – a, (y >\(0 ^ x\) > y) are true, then the conclusion (x > 1) a = 1; y = x; y = y – a; (y > \(0 ^ x\) > y) is also true. The proof also shows the logical relationship between the premises and the conclusion.

To prove that ⊢ (x > 1) a = 1; y = x; y = y – a; (y >\(0 ^ x\) > y), we need to show that the given statement is a valid formula using the axioms of propositional logic and the rules of inference.

Firstly, let's understand the given statement.

(x > 1) a = 1;

y = x;

y = y – a;

(y > 0 ^ x > y)

Here,
(x > 1) is a premise which states that x is greater than 1.
a = 1 is a statement that sets the value of a as 1.
y = x sets the value of y as x.
y = y – a subtracts the value of a from y and updates the value of y.
(y > \(0 ^ x\) > y) is a conjunction of two predicates which states that y is greater than 0 and x is greater than y.

Now, let's use the rules of inference to prove that the given statement is a valid formula.

Proof:
1. (x > 1) (Premise)
2. a = 1 (Premise)
3. y = x (Premise)
4. y = y - a (Premise)
5. y > 0 (Premise)
6. x > y (Premise)
7. y - a > 0 (Subtraction, 5, 2)
8. x > y - a (Substitution, 6, 2, 4)
9. y > a (Subtraction, 3, 2)
10. y > \(0 ^ y\) > a (Conjunction, 5, 9)
11. y > \(0 ^ y\) - a > 0 (Conjunction, 7, 9)
12. y > \(0 ^ x\) > y (Conjunction, 8, 10)
13. (x > 1)

a = 1;

y = x;

y = y – a;

(y > 0 ^ x > y)

Therefore, we have proved that the given statement is a valid formula using the rules of inference and axioms of propositional logic.

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In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°

Answers

Step-by-step explanation:

3x -1 +2x + 4 x +1 = 180

9x = 180

X= 20

<ABC = 59

< CB D = 40

< DBE = 81

Right triangle JKL is shown below.

What is the measure of nearest degree.

Right triangle JKL is shown below.What is the measure of nearest degree.

Answers

Answer:

Step-by-step explanation:

Hypotenus=6

Adjacent=4

H and A

Cos x degrees=  A divided by H

4 divided by 6=0.666666666

cos inverse(0.6666666666666666)

=48.2

=48

A researcher is interested in the effects of room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius) on happiness. A total of 120 university students participated in this study, with 20 students randomly assigned to each condition. After sitting for 30 mins. in a room that was painted either yellow or blue, and that was either 20, 24, or 28 degrees, students were asked to rate how happy they felt on a scale of 1 to 15, where 15 represented the most happiness.
The results are as follows:
temperature room color happiness
20 yellow 12
24 yellow 10
28 yellow 6
20 blue 4
24 blue 4
28 blue 4
B) What is the name given to this type of design?

Answers

The name given to this type of design is a factorial design. A factorial design is a design in which researchers investigate the effects of two or more independent variables on a dependent variable.

In this study, two independent variables were used: room color (yellow, blue) and room temperature (20, 24, 28 degrees Celsius), while the dependent variable was happiness.

Each level of each independent variable was tested in conjunction with each level of the other independent variable. There are a total of six experimental conditions (two colors × three temperatures = six conditions), and twenty students were randomly assigned to each of the six conditions.

The researcher then examined how each independent variable and how the interaction of the two independent variables affected the dependent variable (happiness). Therefore, this study is an example of a 2 x 3 factorial design.

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Solve each system of equations by graphing Y=x+4Y=-2x-2

Answers

Solution:

If we graph the following lines, on the same plane

Y= x+4

Y= - 2x-2

we obtain:

According to the above image, we can see that both lines intersect at the point (x, y) = (-2, 2)

So that, we can conclude that the solution of the given system of linear equation is:

(x, y) = (-2,2)

Solve each system of equations by graphing Y=x+4Y=-2x-2

Find an equivalent ratio in simplest terms:
54:12

Answers

Answer: 9/2

Step-by-step explanation:

Answer:

9:2

Step-by-step explanation:

Find the HCF of the numerator and denominator which is 6.

Divide the numerator and denominator by the HCF (54÷6)÷(12÷6)

The answer will be 9÷2 which is also 9:2

For the complex number z = (5sqrt(3))/4 - 5/4 * i what is the polar form

Answers

Answer: 3

Step-by-step explanation:

The required polar form of the equation is \(Z = 5/2cos30 - 5/2sin30i.\)

For the complex number z = (5sqrt(3))/4 - 5/4 * i the polar form is to be determined.

What is a complex number?

The number that constitutes real and imaginary numbers are called complex numbers. The standard form of complex number = a + bi

\(z = 5\sqrt{3}/4 - 5/4i\)
the polar form complex numbner  can be given as
\(z = rcos\theta +rsin\theta i\)   - - - - - -(1)
where r = \(\sqrt{a^2+b^2}\)
and \(\theta=tan^-\frac{b}{a}\)

Since a = 5√3/4 and b = -5/4
\(r = \sqrt{(5\sqrt{3}/4)^2+(5/4)^2}\)
r = 10/4
r = 5/2
Now,
\(\theta=tan^-\frac{b}{a}\)
\(\theta=tan^-\frac{-5/4}{5\sqrt{3}/4 }\\\theta=tan^-\frac{1}{\sqrt{3} }\\\theta=tan^-(-tan30)\\\theta=-30\)

Now the polar form is given by substituting the values of r and \(\theta\) in equation 1
Here,
\(z = 5/2cos30 +5/2sin(-30)i\\z = 5/2cos30-5/2sin30 i\)


Thus, the required polar form of the equation is \(Z = 5/2cos30 - 5/2sin30i.\)


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The figure below shows rectangles approximating the area under the function f(x) = √√x over an interval of the x-axis. 1 2 B 1 = B i=0 3 Write the sum of the areas of the rectangles in the form f(x0)Ax + f(x1)Ax + f(x2)Ax + f(x3)▲x: √5.0.5+ √5.5 0.5+√6.0.5+√6.5.0.5 (Use square roots in your answer.) Now, write the same Riemann sum using sigma notation: 7 5 0.5 √i +0.5 6 7 { Hint: Find an expression which increases 5 to xį.

Answers

The Riemann sum for the given function f(x) = √√x over the interval is written as √5.0.5 + √5.5.0.5 + √6.0.5 + √6.5.0.5. Using sigma notation, it can be written as Σ(√i + 0.5) from i = 5 to 6 with a step size of 0.5.

To find the sum of the areas of the rectangles approximating the area under the function f(x) = √√x over the given interval, we evaluate the function at specific x-values and multiply it by the width of each rectangle. In this case, the width of each rectangle is 0.5.

The sum of the areas of the rectangles can be expressed as √5.0.5 + √5.5.0.5 + √6.0.5 + √6.5.0.5. This means we evaluate the function at x = 5, x = 5.5, x = 6, and x = 6.5, and multiply each value by 0.5.

Using sigma notation, we can express the Riemann sum as Σ(√i + 0.5) from i = 5 to 6 with a step size of 0.5. This means we sum up the values of (√i + 0.5) as i varies from 5 to 6, incrementing by 0.5 at each step.

Both notations represent the same concept of summing up the areas of the rectangles, with the second notation providing a more concise and general representation using sigma notation.

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a farmer has 120 bushels of beans for sale at a farmers market. he sells an average of 15 3/4 bushels a day. after 7 days what is the total number of bushels the farmer has for sale at the farmers market?

Answers

The total number of bushels the farmer has for sale at the farmers market is 9.75 bushels.

The given parameters;

total number of the bushel available, t = 120average number sold in 1 day = \(15\frac{3}{4} = \frac{63}{4}\)

The actual amount of the bushel sold in per day;

\(= \frac{15.75}{1 \ day}\)

After 7 days the amount of the bushel sold is calculated as;

\(= \frac{15.75}{1 \ day} \times 7\ days= 110.25 \ bushels\)

The amount of the bushel left after the 7 days;

\(= 120 - 110.25\\\\= 9.75 \ bushels\)

Thus, the total number of bushels the farmer has for sale at the farmers market is 9.75 bushels.

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Graph the function. f(x)=−4sinx Use 3.14 for π . Use the sine tool to graph the function. Graph the function by plotting two points. The first point must be on the midline and closest to the origin. The second point must be a maximum or minimum value on the graph closest to the first point.

Answers

The graph of \(f(x) = -4sin(x)\) will be a sinusoidal curve passing through these two points

To graph the function \(f(x) = -4sin(x)\), we can start by plotting two points.

The midline of the sine function is the x-axis, so the first point should be on the x-axis, closest to the origin.

At this point, the value of sin(x) is 0.

Since we have a negative coefficient of -4, the y-value at this point will also be 0.

First point: (0, 0)

The second point should be a maximum or minimum value on the graph, closest to the first point.

Since the coefficient of sin(x) is -4, the amplitude of the graph is 4.

Therefore, the maximum and minimum values of the graph will be 4 and -4, respectively.

To find the maximum value, we can set

\(sin(x) = 1\) (maximum value of sin(x)) and solve for x.

Using the inverse sine function\((sin^{(-1)})\), we find \(x=\frac{\pi }{2}\).

Second point: \((\frac{\pi }{2}, -4 )\)

Now, let's plot these two points on a graph:

      |

      |       *

      |  

      |  

      |  

_______|_____________________

      |      |      |

      0   π/2   π     ...

The graph of \(f(x) = -4sin(x)\) will be a sinusoidal curve passing through these two points.

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