Last year, Teresa opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 6%.

arc BD is 25°

We would apply the secant-secant theorem:

angle A = ∠A =25°

arc BD =?

arc CE = 100°

Answer:

Try 17

Step-by-step explanation:

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

The total volume of Mountain Dew in this six-pack is approximately 212.058 cubic inches.

Assuming that each can in the six-pack of Mountain Dew is cylindrical in shape, we can use the formula for the volume of a cylinder to calculate the volume of each can, and then multiply that by the total number of cans in the pack.

The formula for the volume of a cylinder will be;

V = πr²h

where V is volume, r is radius (half the diameter), and h is height.

The radius of each can is 1.5 inches (half of 3 inches), and the height is 5 inches. So the volume of each can is;

V = π(1.5)²(5) = 35.343 cubic inches

To find the total volume of the six-pack, we need to multiply this by the number of cans;

Total volume = 35.343 cubic inches/can × 6 cans

= 212.058 cubic inches

Therefore, the total volume is  212.058 cubic inches.

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Answer:

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied.

plz can i get brainliest:)

We fail to reject the null hypothesis that the temperature level has no effect on the mean yield process.

Summary of Result:

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

To construct an analysis of variance (ANOVA) table and test whether the temperature level has an effect on the mean yield process, we need to perform the following steps:

Step 1: Calculate the total sum of squares (SST), the treatment sum of squares (SSTR), and the error sum of squares (SSE).

SST = ΣΣ(yij - ȳ)^2 = 359.2

where yij is the yield of the ith batch at the jth temperature level and ȳ is the overall mean yield.

SSTR = Σ(nj(ȳj - ȳ)^2) = 118.2

where nj is the number of batches produced at the jth temperature level, ȳj is the mean yield at the jth temperature level, and ȳ is the overall mean yield.

SSE = SST - SSTR = 241.0

Step 2: Calculate the degrees of freedom (df) for SST, SSTR, and SSE.

df(Total) = N - 1 = 14

where N is the total number of observations.

df(Treatment) = k - 1 = 2

where k is the number of treatment levels.

df(Error) = df(Total) - df(Treatment) = 12

Step 3: Calculate the mean square (MS) for SSTR and SSE.

MS(Treatment) = SSTR / df(Treatment) = 59.1

MS(Error) = SSE / df(Error) = 20.1

Step 4: Calculate the F-statistic.

F = MS(Treatment) / MS(Error) = 2.94

Step 5: Determine the critical value of F for a 0.05 level of significance with df(Treatment) = 2 and df(Error) = 12.

From a table of F-distributions, the critical value of F is 3.89.

Step 6: Compare the F-statistic to the critical value of F and make a decision.

Since 2.94 < 3.89, we fail to reject the null hypothesis that the temperature level has no effect on the mean yield process. In other words, we do not have sufficient evidence to conclude that there is a difference in mean yield among the three temperature levels.

Step 7: Summarize the results in an ANOVA table.

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

Note: The p-value is calculated as P(F > 2.94) = 0.095, which is greater than the significance level of 0.05. Therefore, we do not reject the null hypothesis.

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a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.

b. There are three vectors in the span of fv1; v2; v3g.

c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.

To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.

The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.

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\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-10)}}} \implies \cfrac{-9 +7}{-5 +10} \implies \cfrac{ -2 }{ 5 }\implies -\cfrac{2}{5}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{(-10)}) \\\\\\ y+7=-\cfrac{2}{5}(x+10)\implies y+7=-\cfrac{2}{5}x-4\implies y=-\cfrac{2}{5}x-11\)

Answer:

Where's the graph?

Step-by-step explanation:

Answer:

need a picture.

Step-by-step explanation:

Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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Answer:75/6

Step-by-step explanation: Y is proportional to x so 12 is proportional to 5 so if y=30 then it will be 30*5/12=150/12=75/6

Answer:

(5,7   6,2   4,8   1,3) and (7,1  5,3   4,8   6,2)

Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2

Step-by-step explanation:

Answer:

Cylinders have two circular bases

Cones have one circular base

The lateral area of a cylinder is related to circumference of the circular bases.

Step-by-step explanation:

In Determining the statements that characterize cylinders and cones. All that apply in this context are :

1) Cylinders have two circular bases

2) Cones have one circular base

3) The lateral area of a cylinder is related to circumference of the circular bases.

Furthermore, in a general context, A cylinder has traditionally been or comprises of a three-dimensional solid, one of the most basic of curvilinear geometric shapes or curves. It is the idealized version of a solid physical tin can which processed lids on top and bottom. While a cone is a three-dimensional geometric shape or a set of line segment that taper smoothly from a flat base (though not necessarily, but mostly circular) to a point called the vertex.

Answer:

a b and e

Step-by-step explanation:

Answer:

1/200 pounds

THIS IS THE ANSWERRRRRRRRRRRRR I DID THISSSSSSSSSSSS

Solution given:

\( \frac{1}{8} \) pound =25ft²

1 square feet =\( \frac{1}{8×25} \)

=\( \frac{1}{200} \)pounds

Answer:

(0.5, 1.3)(0.5, 1.3)

Step-by-step explanation:

Given equations are:

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

We can see from the graph that the lines intersect at: (0.517, 1.267)

Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

It would be considered unusual for a random sample of 30 customers to have a mean of 36.1 minutes.

To determine if this outcome is unusual, we can use a z-score, which compares the sample mean to the population mean using the standard deviation. The z-score for a sample mean of 36.1 minutes would be -1.87, which is considered to be in the lower tail of the normal distribution.

This means that the probability of getting a sample mean of 36.1 minutes or lower is less than 0.05. Therefore, this outcome is considered to be unusual, and the store should reconsider its displays.

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Answer:

(-2)(_12)

Step-by-step explanation:

Multiplication of two negative signs will change to plus

+ x + = +

+ x - = -

- x - = +

- x + = -

Answer:

Number of drink = 5

Number of pretzel = 9

Step-by-step explanation:

Given:

Cost of each drink = $4

Cost of each pretzel = $5

Total money = 65

Total number of drink and pretzel = 14

Find:

Number of drink and pretzel

Computation:

Number of drink = x

Number of pretzel = 14 - x

So,

x(4) + (14-x)5 = 65

4x + 70 - 5x = 65

x = 5

Number of drink = 5

Number of pretzel = 14 - x

Number of pretzel = 14 - 5 = 9

Answer:

fixed

Step-by-step explanation:

There are 27,405 different groups of 4 people that a company can make from a pool of 30 individuals to send to a job site.

To determine the number of different groups of 4 people that can be made from a pool of 30 individuals, we can use the concept of combinations. In this scenario, order does not matter, and repetition is not allowed. We can calculate the number of combinations using the formula C(n, r) = n! / (r!(n-r)!), where n represents the total number of individuals and r represents the number of people in each group.

Using this formula, we can calculate C(30, 4) as follows:

C(30, 4) = 30! / (4!(30-4)!)

          = 30! / (4!26!)

Simplifying the expression, we get:

C(30, 4) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1)

         = 27,405

Therefore, there are 27,405 different groups of 4 people that the company can make from the pool of 30 individuals to send to a job site.

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The shape of a data flow diagramming process is a  open box.

Given nothing and we have to tell the shape of a data flow diagramming process.

A data flow diagram expresses  the flow of information for any process or system. It uses symbols like rectangles, circles and arrows to show data inputs, outputs, storage points and the routes between each destination.

In this diagram the information is presented in rectangles and circles which are then joined through arrows.

It can present a process of coordination between departments.

Because there is no shape in which these rectangles , circles and arrows are present. That's why we have said that it is a open box.

Hence the shape of a data flow diagramming process is a open box.

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Answer: 4311/9900 or 479/1100

Step-by-step explanation:

Okie so in order to do this, we need to get rid of the repeating part of the decimal

==============================================================

Right now we have x = 0.435454545454...

If we multiply this by 100, we get

100x = 43.545454545454

And if we multiply by 10000 we get

10000x = 4354.5454545454

==============================================================

Subtract the two equations

10000x = 4354.5454545454

100x = 43.545454545454

------------------------------------------------- (notice: the repeating part will cancel out)

9900x = 4311

x = 4311/9900

If you simplify the fraction you get: 479/1100

The fraction that represents the repeating decimal is

\(\frac{479}{1100}\)

Given :

A repeating decimal  \(0.4354545454...............\)

there is bar at 54 , so 54 is repeating

We need to convert this decimal into fraction

54 is repeating so we multiply by 100

Let x= \(0.4354545454...............\\\)

\(100x=43.54545454...............\)

Now we subtract x from 100x

\(100x=43.54545454...............\\ x= 0.4354545454...............\\-----------------------------------------\\ 99x=43.11\)

Now divide both side by 99

\(x=\frac{43.11}{99} \\\)

multiply top and bottom by 100 to remove the decimal

\(x=\frac{4311}{9900} \\Divide \; top \; and \; bottom \; by 9\\x=\frac{479}{1100}\)

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Yes, there are diminishing returns to labor in the given production function.

There are diminishing returns to labor in the given production function. As more units of labor (L) are added while holding capital (K) constant, the increase in output (y) becomes smaller and smaller. This is indicative of diminishing marginal product of labor.

When the wage rate (w) is 1 and the capital (K) is fixed at 64, the profit-maximizing choice of labor (L) can be found by equating the marginal product of labor (MPL) to the wage rate. In this case, MPL = 12L^2K.

Setting MPL = w, we have 12L^2K = 1. Substituting K = 64, we get 12L^2 * 64 = 1. Solving for L, we find L ≈ 0.0917.

The profit-maximizing output level (y) can be calculated by substituting the values of L and K into the production function. Thus, y = 4L^3K = 4(0.0917)^3 * 64 ≈ 0.026.

The maximized profit can be determined by subtracting the total cost (TC) from the total revenue (TR). Since the fixed cost is given as 64, TC = 64 + wL = 64 + 1(0.0917) ≈ 64.092. TR is the product of the output level and the price, which is 0.026 * 3 = 0.078.

Profit = TR - TC ≈ 0.078 - 64.092 ≈ -63.014.

Diminishing returns to labor imply that as more labour is employed while holding other factors constant, the incremental increase in output becomes smaller. In the given production function, this phenomenon is observed. In the short run, with a fixed capital level of 64, we determine the profit-maximizing choice of labour (L) when the wage rate (w) is 1. By equating the marginal product of labour (MPL) to the wage rate, we find L ≈ 0.0917. Substituting this value into the production function, we calculate the profit-maximizing output level as y ≈ 0.026. The maximized profit is determined by subtracting the total cost (TC) from the total revenue (TR), resulting in a profit of approximately -63.014. This analysis helps understand the relationship between input choices, output levels, and profit optimization in the short run.

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82 students attended the dance.

In algebra, an equation can be expressed as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

An equation is defined as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are said the "left-hand side" and "right-hand side" of the equation. Assuming this does not reduce the generality, this can be realized by subtracting the right-hand side from both sides.

According to the given problem,

Let the number of students be x,

2.50x + 120 = 325

⇒ 2.5x = 325 - 120

⇒ 2.5x =   205

⇒ x = 82

Hence, 82 students attended the dance.

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The required answer is the store sold each CD for $45.

Explanation:

To solve this problem, we need to find the total revenue that the store earned from selling the CDs and then subtract the cost of purchasing them.

First, we know that the store purchased 75 CDs. Let's say the cost per CD was x dollars.

Total cost of purchasing the CDs = 75x

Next, we know that the store gave away 5 CDs in a contest. This means they had 70 CDs left to sell.

The store sold these CDs at 3 times their purchase price, so the selling price per CD was 3x.

Total revenue from selling 70 CDs = 70 x 3x = 210x

Now we can calculate the profit:

Profit = Total revenue - Total cost

Profit = 210x - 75x = 135x

We are given that the profit was $2025, so we can set up an equation:

135x = 2025

Solving for x:

x = 15

This means that each CD was purchased for $15.

To find the selling price per CD, we can multiply this by 3:

Selling price per CD = 3 x $15 = $45

Therefore, the store sold each CD for $45.

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Answer:

295 is the answer... god bless

Answer25

Step-by-step explanation: