Check all that are equivalent A=1/2h(b1+b2), 2A=hb1+b2, b1=2A/h-b2, b1=2(A-1/2hb2)/h

Answer:

Sorry if i am wrong but i am pretty sure it is d≈3.82

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

We see that the numbers 18 and 36 are both common multiples of 6 and 9. The least common multiple is the smallest which is 18.

We are given that LaTeX: A\:=\:\log_72

A = log 7 ⁡ 2 and LaTeX:

B\:=\:\log_73

B = log 7 ⁡ 3 and LaTeX:

C\:=\:\log_75

C = log 7 ⁡ 5 and need to use the properties of logarithms to write LaTeX:

\log_735  in terms of A and B and C. Let us use the following properties of logarithms which are frequently used for simplification of logarithmic expressions: Product rule:

LaTeX: \log_{b}(mn)=\log_{b}m+\log_{b}n

Quotient rule: LaTeX: \log_{b}\left(\frac{m}{n}\right)=\log_{b}m-\log_{b}n.

Power rule: LaTeX: \log_{b}(m^n)=n\log_{b}(m) Applying these properties, we have,

LaTeX: \begin{aligned}

\log_7 35 &= \log_7 (5\cdot 7) \\ &

= \log_7 5 + \log_7 7 \\ &

= C + 1 \end{aligned}Therefore,

LaTeX: \log_735=C+1.

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Answer:

The answer is \(3^3\times 2^2\).

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

\(3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}\)

The equation P = -0.02n^2 + 3.4n - 16 represents the profit, P, in thousands of dollars for a small independent movie company as a function of the number of DVD copies produced, n, in thousands.

The equation is a quadratic equation, which means it is a polynomial equation of degree 2. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are constants and x is the variable. In this case, the equation can be written as P = -0.02n^2 + 3.4n - 16, where P is the variable, and -0.02, 3.4, and -16 are the constants.

The first term in the equation is -0.02n^2, which represents the cost of producing the DVD copies. As n increases, the cost of production also increases, and the coefficient -0.02 represents that the cost of production is directly proportional to n^2. The negative sign in front of the term indicates that as the number of copies increases, the cost of production also increases and thus the profit decreases.

The second term in the equation is 3.4n, which represents the revenue generated by the sale of the DVD copies. As n increases, the revenue generated also increases, and the coefficient 3.4 represents that the revenue is directly proportional to n. The positive sign in front of the term indicates that as the number of copies increases, the revenue generated also increases and thus the profit increases.

The last term in the equation, -16, represents the fixed costs associated with producing the DVD copies, such as overhead costs, marketing and distribution costs, etc. These costs are not directly related to the number of copies produced and are constant regardless of how many copies are produced.

In summary, the equation P = -0.02n^2 + 3.4n - 16 represents the profit for a small independent movie company as a function of the number of DVD copies produced. The profit is affected by the cost of production, revenue generated from sales, and fixed costs. As the number of copies increases, the cost of production increases, the revenue generated increases, and the fixed costs remain constant. The profit is the difference between the revenue generated and the costs incurred.

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We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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Answer:

a) y=-1

Step-by-step explanation:

Graph is intersecting y-axis at (0,-1)

So equation of the graph is y = - 1

Option C requires the examination of the data on bowling scores to find out what Molly's mean score is, and this constitutes a statistical inquiry that can be resolved with the information that has been gathered.

The statistical question that can be answered from the data is: C) What was Molly's average bowling score?

Option A is not a statistical question because it only concerns Molly's personal feeling towards one of her bowling scores.

Option B is a factual question that does not require statistical analysis.

Option D is also a factual question that does not require statistical analysis.

However, option C involves analyzing the bowling scores data to determine Molly's average score. This is a statistical question that can be answered using the collected data.

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Complete question:

Molly joined an after-school bowling club. The club members go bowling once a week throughout the school year. The bowling scores are recorded for each game so that they can be analyzed at the end of each week. Which of these is a statistical question that can be answered from the data?

A) Which bowling score made Molly the proudest?

B) How many times did the bowling club meet?

C) What was Molly's average bowling score?

D) On what day did the bowling club begin?

Answer:

56.42

Step-by-step explanation:

Answer:

\(5.642\times {10}^{1}\)

Step-by-step explanation:

fifty-six and forty two hundeths is 56.42

But in standard form it is 5.642×10¹

Answer:

x=−2

Step-by-step explanation:

x2+5x+4−(2x2−10)=2x2−10−(2x2−10)

−x2+5x+14=0

(−x−2)(x−7)=0

−x−2=0

Hence B is the correct option

Answer:

link the number line

Step-by-step explanation:

Answer:

10b=60 is correct

Step-by-step explanation:

Given, B1⊂B2⊂B and E(X2) < ∞, then E((X−E(X∣B2))2) ≤ E((X−E(X∣B1))2)

Since B1 is a subset of B2, the expectation of E(X∣B2) will be at least as great as that of E(X∣B1). E(X∣B2) = E(X∣B1) + E(X∣B2)−E(X∣B1).

This implies that E(X−E(X∣B1))2 = E[E(X−E(X∣B1))2∣B2]+E[E(X−E(X∣B1))2∣B2c].

Therefore, E((X−E(X∣B1))2) = E[E(X−E(X∣B1))2∣B2]+E[E(X−E(X∣B1))2∣B2c].

However, E[E(X−E(X∣B1))2∣B2] ≥ 0 and E[E(X−E(X∣B1))2∣B2c] ≥ 0.

Therefore, E((X−E(X∣B2))2) ≤ E((X−E(X∣B1))2).

Hence the given statement is proved.

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Step-by-step explanation:

Volume of 100chocolates:

((12^2 x 15)/3) x 100 =72000

volume of cylinder:

base area x height

base area= πr^2= 5625π

height=volume/base area

height=72000/5625π=4.07 (3sf)

ans: 4.07mm

Answer: $16 = 4s + 3g

Step-by-step explanation:

s = shoes

g = games

Answer:

7

Step-by-step explanation:

I could be wrong I haven't done it in while but I think the answer needs to equal 90. Sorry if I'm wrong

A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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90  is the average score of these top students.

What is the average in mathematics?

Mean is defined as the average equal to the ratio of the total number of values ​​in a particular set to the total number of values ​​in the set.

                               The average in mathematics is the average of a data set obtained by adding all the numbers and dividing the sum of the numbers by the number of numbers. For example, using the following dataset:

8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7, so the average is 7. 

the average score of these top students = 95 + 86 +  87 +  91 + 94 + 87/6

                                                              = 540/6 = 90

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The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.

A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.

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The slope of line is infinity.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope.

Given points:

(-5, 9) and (-5, -5)

Now, slope of line = (-5 - 9)/ (-5 + 5)

slope= -14/ 0

slope= ∞

Hence, the slope of line is infinity.

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Answer:

it is Greater than because blue and green combined equal to 12

The approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275 is 0.8804 or 88.04%.

We need to know the mean and standard deviation of the distribution to calculate the approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275.

Let's assume that the mean number of tickets given out per day is 50 and the standard deviation is 10 (these are just hypothetical values).

The total number of tickets given out during a 5-day week follows a normal distribution with mean 250 (= 5 days x 50 tickets per day) and standard deviation of the square root of 500 (= 5 days x 10²).

To find the probability that the total number of tickets given out during a 5-day week is between 195 and 275, we need to standardize the values using the z-score formula: z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 195: z = (195 - 250) / sqrt(500) = -2.46

For x = 275: z = (275 - 250) / sqrt(500) = 1.56

Using a calculator, the probability that z is between -2.46 and 1.56 is approximately 0.8804.

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Applying the trigonometric ratios, the missing sides and angles of the right triangles are:

1. x = 7.3

2. x = 33.3

3. x = 21.3

4. x = 31.9

5. x = 25.6

6. x = 11.0

7. x = 41.8°

8. x = 64.2°

9. x = 12.8°

10. x = 51.3°

The trigonometry ratios for solving right triangles are:

1. ∅ = 63°

hyp = 16

adj = x = ?

Apply CAH:

cos 63 = x/16

x =  cos 63 × 16

x = 7.3

2. ∅ = 39°

opp = 27

adj = x = ?

Apply TOA:

tan 39 = 27/x

x =  27/tan 39

x = 33.3

3. ∅ = 49°

adj = 14

hyp = x = ?

Apply CAH:

cos 49 = 14/x

x = 14/cos 49

x = 21.3

4. ∅ = 15°

hyp = 33

adj = x = ?

Apply CAH:

cos 15 = x/33

x =  cos 15 × 33

x = 31.9

5. ∅ = 52°

adj = 20

opp = x = ?

Apply TOA:

tan 52 = x/20

x =  tan 52 × 20

x = 25.6

6. ∅ = 27°

opp = 5

hyp = x = ?

Apply SOH:

sin 27 = 5/x

x = 5/sin 27

x = 11.0

7. ∅ = x°

hyp = 6

opp = 4

Apply SOH:

sin x = 4/6

x = sin^-1(4/6)

x = 41.8°

8. ∅ = x°

adj = 14

opp = 29

Apply TOA:

tan x = 29/14

x = tan^-1(29/14)

x = 64.2°

9. ∅ = x°

hyp = 54

opp = 12

Apply SOH:

sin x = 12/54

x = sin^-1(12/54)

x = 12.8°

10. ∅ = x°

hyp = 40

adj = 25

Apply CAH:

cos x = 25/40

x = cos^-1(25/40)

x = 51.3°

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The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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Answer:

$37046.05

Step-by-step explanation:

new mean wage = beginning mean wage x (105.125%)

                            = 35240 x 105.125%

                            = 37046.05

Answer:

$37,046.05

Step-by-step explanation:

New mean wage :

Answer:

10,000 * (0.5)^x/19 ; 19.53125

Step-by-step explanation:

Sorry, Im not good at chemistry, but I think this is how you do it.

Part 1: 10,000 * (0.5)^x/19 x=time

Part 2: 10,000 * (0.5)^171/19 = 10,000 *(0.5)^9 = 19.53125

Answer:

the yellow one

Step-by-step explanation:

hope thats right tell her to leave u alone lol

The net of a triangular prism consists of two triangles and three rectangles.

In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.

First, let's discuss the triangles.

A triangular prism has two triangular faces, which are congruent to each other.

These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.

Each of these triangles contributes two polygons to the net, one for each face.

Next, we have the rectangles.

A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.

These rectangles have opposite sides that are parallel and equal in length.

Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.

To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.

The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.

Altogether, there are five polygons in the net of a triangular prism.

It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.

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Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80