Which expression represents the sentence "five times a number, n"

Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

v = π(3²)2

v = 18π   exact answer

V = 18 * 3.14 = 56.52    decimal approximation

let given points be

(x1,y1)=(-3,-3)

and(x2,y2)=(3,1)

equation of given line ,

(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)

therefore, 2x-3y+3=0.........(i)

comparing (i ) with ax+by+c=0 we get

a=2

b= -3

c=3

then the line parallel to (i) is

ax+by+k=0 where k = -bc

that is, 2x-3y+9=0 is the required equation

Answer:

19. y = 2/3x - 10/3

20. y = -3/2x - 4

Step-by-step explanation:

First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.

19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.

To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.

-2 = (2/3) * 2 + b

b + 4/3 = -2

b = -6/3 - 4/3

b = -10/3.

So, the equation of the line is y = 2/3x - 10/3.

20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.

To solve for b, once again, put in the given coordinates, (-4, 2), and solve.

2 = (-3/2) * (-4) + b

b + 6 = 2

b = -4

So, the equation of the line is y = -3/2x - 4.

Hope this helps!

Answer:

y = 2x + 14

Step-by-step explanation:

y = mx + b to write the equation, we need 2 things: the slope and the y-intercept

y = ___x + ____

Slope:

Change in y over the change in x.  We find the change by subtracting.   The y values are 6 and -2.  The x values are -4 and -8

\(\frac{6- (-2)}{-4 -(-8)}\) = \(\frac{6+2}{-4+8}\) = \(\frac{8}4}\) = 2

The slope is 2.

y-intercept:

Use either of the points given and the slope 2 to find the y-intercept.  I am going to use the points(-4,6).  I will use -4 for x and 6 for y given from the point

y = mx + b

6 = 2(-4) + b

6 = -8 + b  Add 8 to both sides

14 = b

The y-intercept is 14.

y = 2x + 14

Helping in the name of Jesus.

The final loss percent is 0.25%.

The gap between the cost price and the selling price is what is referred to as a loss. And the loss percent is the loss as a percentage of the actual cost.

Total CP=Rs. 400

Let the CP of the first watch be Rs. x

So, CP of the second watch=Rs.(400-x)

For the first watch,

Gain Percent=5%

SP = \((1+\frac{5}{100})*x\)

SP=105x/100

For the second watch,

Loss Percent=5%

SP=\((1-\frac{5}{100})(400-x)\)

SP=95(400-x)/100

As the SP of both the watches is the same.

\(\frac{105}{100}x=\frac{95}{100}(400-x)\)

105x=38000-95x

105x+95x=38000

200x=38000

x=38000/200

x=190

CP of the first watch=Rs. 190

CP of the second watch=Rs. (400-190)=Rs. 210

SP of first watch=\(\frac{105}{100}*190\) =Rs. 199.50

SP of second watch=\(\frac{95}{100}*210\)=Rs. 199.50

Total SP=Rs. 399

Final Loss=Total CP-Total SP

                =Rs.(400-399)

                =Rs. 1

Final Loss Percent=100/400

                              =0.25%

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To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.

The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.

In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.

Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.

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Answer:

What's your question?

Step-by-step explanation:

The equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

Find the diagram attached.

First, we need to get the zeros of the required function. The point where the curve cuts the x-axis is the zeros.

According to the graph, the curve cuts the x-axis at x = -2 and x = -4.1

The required factors will be (x+2) and (x+4.1)

Taking the product of the factors

f(x) = (x+2)(x+4.1)

f(x) = x²+4.1x+2x +8.2

f(x) = x² + 6.1x + 8.2

Hence the equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2

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The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.

In the expression

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

both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:

(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)

… = 1 (6x - 1) + 1 (2x - 5)

… = (6x - 1) + (2x - 5)

and so on.

Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,

2×41 + 2×19 = 120

If you divide *everything* on the left by 2, you end up with fractions:

(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2

but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.

Answer: -24

Step-by-step explanation:

\(\frac{x}{6} -18 = -22\)

\(\frac{x}{6} = -22 + 18\)

\(\frac{x}{6} = -4\)

\(x= -4*6\)

\(x= -24\)

check work

\(\frac{(-24)}{6} -18 = -22\)

\(-4 -18 = -22\)

\(-22 = -22\)

Answer:

22

every term is being added by 6

-2 + 6 = 4

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22

Step-by-step explanation:

Answer:

-8 +6n

Step-by-step explanation:

Explicit rule:

\(a_{1} = -2\)

d = Common difference = term 2 - term 1

                                 = 4 -(-2) = 4 + 2 = 6

\(a_{n}=a_{1}+d*(n-1)\\\\a_{n}=-2 + 6*(n-1)\\\\a_{n}= -2 +6n - 6\\\\\\\)

   = -2 - 6 + 6n

   = -8 + 6n

Using it's formula, the distance between the points A(13,2) and B(7,10) is of 10 units.

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

In this problem, the points are A(13,2) and B(7,10), hence the distance is given by:

\(D = \sqrt{(13 - 7)^2+(2 - 10)^2}\)

D = sqrt(100)

D = 10 units.

The distance between the points A(13,2) and B(7,10) is of 10 units.

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Answer:

1638m²

Step-by-step explanation:

42×39= 1628m²

Answer:

Step-by-step explanation:

I believe it is b

Principal steps in the design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

- Phases are broad groupings of tasks.

- Steps are tasks (work to be performed).

- Techniques are ways to carry out tasks.

- Deliverables are the understanding (or materials) produced during task accomplishment.

- Each phase is itself composed of a series of steps, which rely upon techniques that produce deliverables (specific documents and files that provide understanding about the project).

Principal steps in the Design Phase:

Design Strategy

- Determining proper approach for acquiring

System architecture

- Describing basic hardware, software, and networking

User interface

- Developing system's overall structure, navigation, inputs, outputs, and screens

Database and file specifications

- Specifying data storage structures

Program Design

- Plans and outlines for each program to be written

So,

Principal steps in the Design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

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The expression at the upper and lower limits and the difference is

∫[0,1]√(4-3\(x^2\)) dx \(=(2 - (3/2)(1)^2) - (2 - (3/2)(0)^2) = (2 - 3/2) - (2 - 0) = (4/2 - 3/2) = 1/2.\)

To evaluate the integral ∫√(4-3\(x^2\)) dx, where the interval of integration is 0≤x≤1, we can use various techniques such as substitution or integration by parts. Let's proceed with the method of substitution to simplify the integral and find its value.

First, let's identify a suitable substitution for the integral. Since the expression inside the square root contains a quadratic term, it is beneficial to let u be equal to the square root of the quadratic expression. Therefore, we set u = √(4-3\(x^2\)).

Next, we need to find the differential of u with respect to x. Taking the derivative of both sides with respect to x, we have du/dx = (-6x)/(2√(4-3\(x^2\))) = -3x/√(4-3\(x^2\)).

Now, we can rewrite the integral in terms of the new variable u. Substituting u = √(4-3\(x^2\)) and du = (-3x/√(4-3\(x^2\))) dx into the integral, we have:

∫√(4-3\(x^2\)) dx = ∫u du

Our new integral is now much simpler, as it reduces to the integral of u with respect to u. Integrating u, we get:

∫u du = (1/2)\(u^2\) + C,

where C is the constant of integration.

Now, we can substitute back for u in terms of x. Recall that we set u = √(4-3x^2). Therefore, the final result becomes:

∫√(4-3x^2) dx = (1/2)(√\((4-3x^2))^2 + C = (1/2)(4-3x^2) + C = 2 - (3/2)x^2 + C.\)

To find the definite integral over the interval [0, 1], we need to evaluate the expression at the upper and lower limits and find the difference:

∫[0,1]√(4-3\(x^2\)) dx\(= (2 - (3/2)(1)^2) - (2 - (3/2)(0)^2) = (2 - 3/2) - (2 - 0) = (4/2 - 3/2) = 1/2.\)

Therefore, the value of the definite integral ∫√(4-3\(x^2\)) dx over the interval [0, 1] is 1/2.

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Answer:

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

The volume of a pyramid is 1/3 of the product of the base area and height.

Find the area of the base:

The base is the square, so each side is the square root of the base area:

The perimeter of the base is:

Answer: 48 inches

Step-by-step explanation:

480*3=1440

1440/10=144

each side: 12

12*4=48 inches

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because angle NRM is vertical to angle QRP, they are congruent. That means that arc NM is congruent to arc PQ, making arc MQ and arc NP congruent. That means that arc NP is also 162. Since the outside of a circle measures 360 regardless of how big or small the circle is, we can find the measures of arcs MN and PQ by doing some simple math.

Arc MN = Arc PQ = 360 - 162 - 162 = 36 and divide that in half to get

Arc MN = Arc PQ = 18°. As we all know, the measure of a central angle is congruent to the measure of the arc it intercepts, so the measure of angle NRM is 18°. That gives us the angle we need for the formula:

\(AL=\frac{\theta}{360}*2\pi r\) where θ is the measure of the central angle, 18°:

\(AL=\frac{18}{360}(3.1415)(8)\) which gives us

AL = 1.26 feet (Note: arc length is in distance measures, like feet, inches, meters, etc., while arc measure will always be in degrees!)

Based on the information given, we know that 14% of the sample of 1000 adults reported meeting the daily serving recommendations for fruits and vegetables set by the CDC. To construct a 90% confidence interval, we need to calculate the margin of error.

We can use the formula:

\(Margin of error = z* (sqrt(p*(1-p)/n))\)

Where:

z* is the critical value for a 90% confidence interval, which is 1.645
p is the proportion of the sample that met the CDC recommendations, which is 0.14
n is the sample size, which is 1000

Plugging in the values, we get:

Margin of error = 1.645 * (sqrt(0.14*(1-0.14)/1000))
Margin of error ≈ 0.022

Therefore, the answer is e. 0.022.

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stem-and-leaf plots for the sets of data are attached.

What is stem-and-leaf plot?

In a stem and leaf plot, the values of the data are divided into a stem and a leaf, creating a singular table. The initial digit or digits are written in stem format, and the final digit is written in leaf format.

Data can be arranged in a way that makes it simple to see the frequency of various sorts of values using a stem and leaf plot, also known as a stem and leaf diagram. It is a graph with numerical data displayed in a sequential manner. Each value of the data is divided into a stem and a leaf.

A stem and leaf plot is depicted as a customised table with each data value's initial or last digit divided into a stem and the leaf's final digit.

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Answer:

Step-by-step explanation:

(2a²+a)

a(2a+a)

Answer:

The value of c is 2

Step-by-step explanation:

p(x) = cx³ - 15x - 68

Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.

x - 4 = 0

x = 4

Substitute it into the above expression

That's

c(4)³ - 15(4) - 68 = 0

64c - 60 - 68 = 0

64c = 60 + 68

64c = 128

Divide both sides by 64

c = 2

Hope this helps you

Answer:

h

Step-by-step explanation:

b

Answer:

1300

Step-by-step explanation:

130×10 thats the answer yoo

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The area to the right of z = 2.01 is 0.0222, which can be found using a standard normal distribution table.

Explanation:

To find the area to the right of z = 2.01, we need to use a standard normal distribution table. A standard normal distribution has a mean of 0 and a standard deviation of 1. The table gives the area under the curve to the left of a given z-score.

Since we want the area to the right of z = 2.01, we need to subtract the area to the left of z = 2.01 from 1. Using the table, we can find that the area to the left of z = 2.01 is 0.9778. Therefore, the area to the right of z = 2.01 is 1 - 0.9778 = 0.0222.

The area to the right of z = 2.01 represents the probability that a standard normal random variable takes on a value greater than 2.01 standard deviations above the mean. This can be used in various applications, such as hypothesis testing or confidence interval estimation, where we want to find the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.

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Answer:

its the second option!

Step-by-step explanation:

correct answer on edmentum

Answer:

A or the first one

The correct answer is B. mixed cost.

A mixed cost is a cost that consists of both a fixed component and a variable component. The equation Y = a + bX represents a mixed cost, where "Y" represents the total cost, "X" represents the level of activity or quantity, "a" represents the fixed cost component, and "b" represents the variable cost per unit.

The fixed cost component (a) remains constant regardless of the level of activity, while the variable cost component (bX) changes proportionally with the level of activity. This equation allows for the separation of the fixed and variable components of the cost, making it a useful model for analyzing cost behavior.

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