100 points.
Find the surface area of the triangular prism. The unit is cm^2

Answer:

you should use a calculator

Step-by-step explanation:

Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

This study can be best described as Controlled Placebo Experiment

What is a Controlled Placebo Experiment?

A controlled placebo experiment is a type of research method that is used to check the effectiveness of a drug in a patient. This is done by selecting a sample group, then randomly divide the two group into a placebo group (this are the group that will receive the drug treatment ) and the controlled group (these are the group that will receive a colored mixture that looks like the drug, but does not have any effect). Without the groups knowledge about the real drugs and the colored mixture, but are followed up and tested.

According to the given question:

This is a controlled placebo experiment, because 400 student has been chosen as the sample, and are divided into a placebo group and a controlled group, to check the effectiveness of a drug on their memory.

To know more about experiment visit

https://brainly.com/question/13085569

#SPJ4

Unit vector = (0/√113, -7/√113, 8/√113) = (0, -7/√113, 8/√113)

To find the component form of the vector v, subtract the initial point coordinates from the terminal point coordinates:

v = (4 - 4, 1 - 8, 8 - 0) = (0, -7, 8)

The magnitude of vector v is given by the formula:

||v|| = √(x² + y² + z²) = √(0² + (-7)² + 8²) = √(49 + 64) = √113

To find the unit vector in the direction of v, divide each component of v by the magnitude:

Unit vector = (0/√113, -7/√113, 8/√113) = (0, -7/√113, 8/√113)

To learn more about vector, refer below:

https://brainly.com/question/29740341

#SPJ11

If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

The slope of the equation is 5 for the coordinates (-3,5) and (4,5).

Locate two points along the chosen line and find their coordinates.

Find the y-coordinate difference between these two sites (rise).

Find the x-coordinate difference between these two sites (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope calculation formula is -

m = y2 - y1 / x2 - x1

Given points are -

(-3,5) and (4,5)

Now, putting the values in equation,

m = 5-5 / 4+3

m = o

As slope is 0, this implies,

the equation of line is y = 5

To learn more about slope of equation from given link

https://brainly.com/question/3493733

#SPJ4

Answer: The new price of the rice in March 2023 was $180.

Step-by-step explanation:

> 20% of $150 is 0.20 ($150) = $30

> The price of the rice increased by $30, so the new price is:

> $150 + $30 = $180

Therefore, the new price of the rice in March 2023 was $180.

for y > - 3x - 2

how did you graph the line?

You would draw the line y = - 3x - 2

how did you determine where to shade?

1. We shade above (not below) because y is greater than the other side of the inequality.

2. We draw a dashed line (not solid) because we aren't dealing with an "or equal to" inequality. The dashed line indicates that points on the line are not solutions to the inequality.

The graph:

for 4x + 5y <= 20

how did you graph the line?

1. We put it in slope-intercept form:

2. You would draw the line

how did you determine where to shade?

1. We shade below (not above) because y is less than (or equal to) the other side of the inequality.

2. We draw a solid line (not dashed) because we're dealing with an "or equal to" inequality. The solid line indicates that points on the line are solutions to the inequality.

The graph is:

for y > - 4

how did you graph the line?

You would draw the line y = - 4

how did you determine where to shade?

1. The graph is shaded above (not below), so y is greater than the other side of the inequality.

2. The graph has a dashed line (not solid), so we aren't dealing with an "or equal to" inequality.

The graph is:

The function f(x, y) = x³ + y³ + 21x² - 18y² has neither local max nor local min.

Saddle point is (0, 0).

Given the function is,

f(x, y) = x³ + y³ + 21x² - 18y²

Partially differentiating the functions with respect to 'x' and 'y' we get,

fₓ = 3x² + 42x

fᵧ = 3y² - 26y

fₓₓ = 6x + 42

fᵧᵧ = 6y - 26

fₓᵧ = 0

Now,

fₓ = 0 gives

3x² + 42x = 0

x(x + 13) = 0

x= 0, -13

and fᵧ = 0 gives

3y² - 26y = 0

y (3y - 26) = 0

y = 0, 26/3

So, for (0, 0) both fₓ and fᵧ are zero.

So the discriminant is,

D = fₓₓ(0, 0) fᵧᵧ(0, 0) - [fₓᵧ(0, 0)]² = 42 * (-26) - 0 = - 1092.

So, D < 0 so the function neither has max nor min.

So the saddle point is (0, 0).

To know more about Saddle Point here

https://brainly.com/question/31669578

#SPJ4

Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

Answer:

Here it is again, just incase c:

Step-by-step explanation:

Have a beautiful day <3

By convention, we use a bar graph when the groups on the x-axis (horizontal axis) are represented on a categorical or discrete scale; we use a line graph when the groups on the x-axis are represented on a continuous or numerical scale.

A bar graph is commonly used to display categorical or discrete data, where the groups or categories on the x-axis are distinct and separate from each other.

For example, the x-axis could represent different types of fruits or months of the year. Each category is represented by a separate bar, and the height of each bar corresponds to the frequency, count, or value associated with that category.

On the other hand, a line graph is typically used to represent data on a continuous or numerical scale. The x-axis represents a continuous range of values, such as time, temperature, or distance.

Each data point is plotted as a dot or marker on the graph, and the points are connected by lines. This type of graph is useful for showing trends, patterns, or changes over time or across a continuous range.

The choice of using a bar graph or a line graph depends on the nature of the data and the purpose of the visualization. Categorical data is best represented using a bar graph to emphasize the distinct categories, while numerical or continuous data is better suited for a line graph to visualize trends and relationships.

Learn more about graph at https://brainly.com/question/30296297

#SPJ11

A standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

To calculate the probability of an event occurring between two independent normally distributed variables, we can use the standard normal distribution and the properties of linear combinations of normal variables.

Suppose we have two independent random variables X and Y that are normally distributed with means μX and μY, and standard deviations σX and σY, respectively. Let Z be a linear combination of X and Y given by Z = aX + bY, where a and b are constants.

Then, Z is also normally distributed with mean μZ = aμX + bμY and standard deviation σZ = sqrt(a^2 * σX^2 + b^2 * σY^2).

To calculate the probability of an event occurring between two values, say a and b, for the variable Z, we first standardize Z to a standard normal variable Z* using the formula:

Z* = (Z - μZ) / σZ

Then, we can use the cumulative distribution function (CDF) of the standard normal distribution to calculate the probability of the event occurring between a and b as:

P(a < Z < b) = P[(a - μZ) / σZ < Z* < (b - μZ) / σZ]

We can use statistical software, a standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer:

$55.25

Step-by-step explanation:

20 3/8=163     163 divided by $2.95= $55.25

Answer:

Below

Step-by-step explanation:

y= 1/4 x + 1

The graph has a y-axis intercept of +1     (y = mx + b form)

 last one looks correct....at x = 4   the value is 2 which is correct

Answer:

I had a similar queshtion the other day and the answer is C

Step-by-step explanation:

Answer:

it's 3mm

I hope this helped

Answer:

the answer is 3mm

Step-by-step explanation:

i did the answer and got it correct

Answer:

4/9

Step-by-step explanation:

Answer:

4 9/10 or 49/10

Step-by-step explanation:

49 over 10

49

10

=4 and 9 over 104

9

10

=4.9

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.

In part A; The graph of inequality y > 2x - 9 shows the dashed line.

And, In part B; The graph of inequality y - 6 ≤ x shown the solid line.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality are,

Part A: y > 2x − 9

Part b; y − 6 ≤ x

Now,

In part A; The inequality '<' used which represent the dashed line

And, In part B; The inequality ≤ used which represent the solid line.

Hence, The graph of inequality y > 2x - 9 shows the dashed line.

And, The graph of inequality y - 6 ≤ x shown the solid line.

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ1

The particular solution of the given differential equation whose general solution is y=c1​ex+c2​xex+x2exy(1)=1, and y′(1)=−1 is yp(x) = −(1/2)x2e+x.

Given the differential equation:

y=c1ex+c2xex+x2ex

y(1)=1,

y′(1)=−1

The solution of the differential equation is given by

y(x) = yh(x) + yp(x)

Here,

yh(x) = c1ex + c2xex + x2exp(x)  is the homogeneous solution and yp(x) is the particular solution.

yp(x) = Cx2exp(x)

On differentiating yp(x), we get

y′p(x) = 2Cexp(x) + Cx2exp(x)

Putting x = 1, y = 1 and y′ = −1 in the equation,

we have1 = C(e)2   …(1)

−1 = 2C(e) + Ce  …(2)

Solving (1), we get

C = 1/(e)2

Substituting C in (2), we have

−1 = 2(e−1) + (1/(e)2)×e−1

On simplifying, we get

C = −(1/2)e+1

Thus, the particular solution of the given differential equation whose general solution is y=c1​ex+c2​xex+x2exy(1)=1, and y′(1)=−1 is yp(x) = −(1/2)x2e+x.

To know more about the homogeneous solution, visit:

brainly.com/question/32618717

#SPJ11

Answer:

64

Step-by-step explanation:

5x-16+6x=10x (combine like terms)

11x-16=10x (subtract 11x)

-16= -1x (divide by -1

16 = x

Now plug 16 into 5x-16.

5(16)-16 = 80-16 = 64

In an electrical system, components of categories I and II have a life expectancy measured in hundreds of hours, respectively. The probability of finding the combined density of Y1 and Y2 is equal to e^(−2).

The components of type I and type II, respectively, have random life spans denoted by the letters Y1 and Y2, respectively. Given by is the joint density function (Measurements are in hundreds of hours.)

Probability P(Y1 > 1, Y2 > 1) = ∫2¹∫1¹ (1/2)e^(−x−y) dx dy = e^(−2).

Learn more about probability here

https://brainly.com/question/12226830

#SPJ4

Answer:

1/9 and 7/11

Step-by-step explanation:

hope this is helpful :)

Answer:

I'm pretty sure the equation would be b=4×12, the answer would be b=$48.00

Step-by-step explanation:

The given expression, -37 +(-4)7 +4+ 61 can be written in component-form as (-4, 4) and in the ij-form as -4i + 4j.Hence, the final answers are:a. (-118)i - 5jb. (-118, -5)a. 75i + 51jb. (75, 51)a. -4i + 4jb. (-4, 4)

The vector with magnitude 1 in the x-direction is called "1" and the vector with magnitude 1 in the y-direction is called "- In other words, i

= (1,0) and ] = (0,1).

To simplify the given expression, we need to perform the addition of the given terms.-

107 +(-3)i + (-5)] +(-8) i

==> -107 + (-3) (1, 0) + (-5) (0, 1) + (-8) (1, 0)

==> -107 + (-3, 0) + (0, -5) + (-8, 0)

==> (-107 - 3 - 8, -5 + 0)

==> (-118, -5)

The given expression, -107 +(-3)i + (-5)] +(-8) i can be written in component-form as (-118, -5) and in the Tj-form as (-118)i - 5j.- 8) +91 + 107 +(-8)7

==> (-8, 0) + (91, 0) + (0, 107) + (-8, -56)

==> (91 - 8 - 8, 107 - 56 + 0)

==> (75, 51)

The given expression, - 8) +91 + 107 +(-8)7 can be written in component-form as (75, 51) and in the ij-form as 75i + 51j.-37 +(-4)7 +4+ 61==> (-37, 0) + (-28, 0) + (0, 4) + (61, 0)==> (-37 - 28 + 61, 0 + 4)==> (-4, 4).

The given expression, -37 +(-4)7 +4+ 61 can be written in component-form as (-4, 4) and in the ij-form as -4i + 4j.Hence, the final answers are:a. (-118)i - 5jb. (-118, -5)a. 75i + 51jb. (75, 51)a. -4i + 4jb. (-4, 4).

To know more about expression visit:-

https://brainly.com/question/14083225

#SPJ11

Answer:

x= -8/41

y= 27/41

Step-by-step explanation:

7y=2x+5

3x+10y=6

maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7

Then plug that in for y in the second equation:

3x+10(2/7x+5/7)=6

Then just solve for x:

x= -8/41

Substitute value of x into first equation:

7y=2(-8/41)+5

Solve for y:

y=27/41

In systems of equations, the values of x and y are -8 and 3, respectively.

Given systems of equations are:

7y=-2x+5 .....(i)

3x+10y=6 .....(ii)

We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.

For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign

2x + 7y = 5 .....(i)

3x + 10y = 6 .....(ii)

To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.

3(2x + 7y = 5) .....(i)

2(3x + 10y = 6) .....(ii)

Simplify.

6x + 21y = 15 .....(i)

6x + 20y = 12 .....(ii)

Now, subtract equations (ii) from (i)

y = 3

Now, substitute value of y = 3 in equation (i).

2x + 7y = 5 .....(i)

2x + 7(3) = 5

2x + 21 = 5

Then, subtract 21 from both sides.

2x + 21 - 21  = 5 - 21

2x = - 16

Divide both sides by 2.

2x / 2 = - 16 / 2

x = -8

So, x = -8 & y = 3

Visit the link below to learn more about the systems of equations:

brainly.com/question/20067450