Airports A and B are 431 km apart, on an east-west line. Jim flies in a northeast direction from airport A to airport C. From C he flies 316 km on a bearing of 127
∘
20' to airport B.
How far is airport C from airport A?

The height of the cylinder is 14 meter.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \pi r^2 h \: \rm unit^3\)

Given data volume of this cylinder is 8,616.16 cubic meters.

Radius=  14 m

We know that the expression for the volume of a cylinder is;

\(V=\pi r^2h\)

Now substitute;

8,616.16 =3.14 x 14^2 x h

8,616.16  = 615.44 x h

h = 8,616.16  / 615.44

h = 14

Hence the height of the cylinder = 14 meter.

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Answer:

33 degrees and 34 degrees

Step-by-step explanation:

x+(x+1) = 67

2x+1=67

2x=66

x=33

the other angle is 1 degree more, so 34

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

The use of meta-matrices mean in data analysis enables researchers to synthesize and interpret diverse sources of information, facilitating a deeper understanding of the research topic or question.

In the context of data analysis, the use of meta-matrices mean involves combining and integrating qualitative and quantitative data into a single matrix or framework. Meta-matrices are used to summarize and analyze multiple data sources, such as different studies, research articles, or datasets, in order to identify patterns, themes, or relationships across the data.

The meta-matrices mean specifically refers to the process of calculating the average or mean values across multiple meta-matrices. This can be done by aggregating the data from different sources and summarizing them using statistical measures such as means, medians, or proportions.

The use of meta-matrices mean allows researchers to gain a comprehensive understanding of the data by considering both qualitative and quantitative aspects. It helps to provide a more holistic view of the phenomenon under investigation and can uncover insights that may not be apparent when analyzing the data separately. By integrating data from various sources, researchers can identify commonalities, differences, and trends, and draw more robust conclusions.

Overall, the use of meta-matrices mean in data analysis enables researchers to synthesize and interpret diverse sources of information, facilitating a deeper understanding of the research topic or question.

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A = \frac{hb_{1} }{2} +  \frac{hb_{2} }{2}  is the solution of this linear equation.

What in mathematics is a linear equation?

Apply the distributive property.

A = \(\frac{1}{2} . ( hb_{1} + hb_{2} )\)

Apply the distributive property

A = \(\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}\)

Multiply \(\frac{1}{2}( hb_{1} )\)

combine h and 1/2

A =\(\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )\)

\(A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}\)

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The cost function is C(x) = 3x^2 - 4x + 9.

To find the cost function, given the marginal cost function c'(x) = 6x - 4 and the fixed cost of $9, we will integrate the marginal cost function c'(x). Integration of c'(x) will give the cost function c(x). Therefore, the cost function is given as Solution: Given that marginal cost function, c'(x) = 6x - 4 and fixed cost, C0 = $9.Integrating the marginal cost function to find the cost function, we get (x) = ∫ c'(x) dxThe integral of 6x will be (6/2)x^2 = 3x^2 and the integral of -4 will be -4xWe will add the constant of integration, C0 = $9C(x) = 3x^2 - 4x + 9.

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To find the cost function C(x), we need to integrate the marginal cost function c'(x) with respect to x and add the fixed cost.

∫(6x - 4)dx = 3x^2 - 4x + C

To find the constant of integration C, we can use the information given that the fixed cost is $9:

C(0) = 3(0)^2 - 4(0) + C = 9

C = 9

So the cost function C(x) is:

C(x) = 3x^2 - 4x + 9
Hello! To find the cost function C(x), we need to integrate the marginal cost function c'(x) and then add the fixed cost. Here's the step-by-step process:

1. Integrate the marginal cost function: ∫(6x - 4)dx
2. Apply the power rule for integration: (6/2)x^2 - 4x + C = 3x^2 - 4x + C
3. Add the fixed cost: C(x) = 3x^2 - 4x + 9

So, the cost function C(x) is: C(x) = 3x^2 - 4x + 9

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Answer:

x = 30

Step-by-step explanation:

The perpendicular bisector is cutting a line at a right angle, two sides of the line will be equal to each other which allows us to write the following equation:

2x - 20 = 70 - x transfer like terms to the same side of the equation:

2x + x = 70 + 20 notice how the signs of the expressions changed from "-" to "+" when transferred

3x = 90 divide both sides by 3

x = 30

Answer:

I think it would be rational

Answer and Step-by-step explanation:

It depends on the numbers that are inputted for a and b.

If the numbers that are inputted for both a and b are rational, then a + b would be rational.

If the numbers that are inputted for both a and b are irrational, then a + b would be irrational.

If one of the variables is rational and the other is irrational, then a + b would be irrational.

#teamtrees #PAW (Plant And Water)

Answer:

x = 1

Step-by-step explanation:

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

Answer:

90 an right angle

Step-by-step explanation:

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer:

B. Radian

Step-by-step explanation:

I remember learning this in math class. Radian is SI Unit of measurement of Angle.

The solution for the given equation has no solution due to the reason that square root are always positive.

For this equation simplification can be applied 6cos(30)-9=-12
= 6cos(30)
=-3.
Then solutions for this equation on the interval of [0, 360] are 150° and 210°.
To elaborate how we got these solutions, we first have to know that
cos(30) = √3/2.
Staging this value in the equation
6 × √3/2 - 9
= -12
Applying Simplification
3√3 - 9 = -12
3√3 = -12 + 9
3√3 = -3
√3 = -1

Since it is not possible because the square root of any number is always positive. Then, there are no solutions for this equation.
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Answer:

681 :14551

Step-by-step explanation:

Irrational!

Answer:

is the relation a function

No

Answer:

23: 21 - 30

48: 41 - 50

39: 31 - 40

25: 21 - 30

45: 41 - 50

10: 1 - 10

16: 11 - 20

32: 31 - 40

62: 61 - 70

39: 31 - 40

48: 41 - 50

18: 11 - 20

19: 11 - 20

54: 51 - 60

12: 11 - 20

4: 1 - 10

Hope this helps :D

Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

Answer:

Question 1

Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8

Question 2

Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3

Step-by-step explanation:

Question 1

The ordered pair is (2, -3); therefore x = 2, y = -3

Plug these values into the left and right side of each inequality and see if these values satisfy the inequality

For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3

Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >

For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4

Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative  numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)

Question 2

Given ordered pair is (0,4)

For y ≤ -x + 4

LHS = 4, RHS = -0 + 4 = 4

Is 4 ≤ 4? YES

For y ≥ 5x -3

LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3

Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers

Using the simplification of power, \((-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}\) and \(\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}\).

In the given question,

We have to simplify the given expression.

Before simplifying the expression we first learn that the negative power can be positive after changing their position from numerator to denominator.

We use the method of adding the power of expression to solve the expression.

(1) The given expression is \((-\frac{1}{4}w^{-1}z^{-2})^{-3}\).

We firstly simplifying the power after the bracket by multiplying the power to each variable.

\((-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-\frac{1}{4})^{-3}(w^{-1})^{-3}(z^{-2})^{-3}\)

Simplifying the expression.

\((-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1)^{-3}(\frac{1}{4})^{-3}(w^{-3})(z^{6})\)

Now we make the power positive by changing their position

\((-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1){4}^{3}(w^{-3})(z^{6})\)

Simplifying

\((-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}\)

(2) The given expression is \(\frac{g^{-6}h^8}{h^2}\).

Simplifying the expression.

As we know that the power with same base get subtracted when they are in division.

So \(\frac{g^{-6}h^8}{h^2}=g^{-6}h^{8-2}\)

\(\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}\)

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Answer:

i odnt know

Step-by-step explanation:

Yes, the variable is statistically significant if the t-statistic is 2.54. In hypothesis testing, the t-statistic measures the difference between the observed value and the expected value, relative to the variability in the data.

It is used to determine if there is a significant difference between the sample mean and the population mean.

To assess statistical significance, we compare the t-statistic to the critical value, which is determined based on the desired significance level and the degrees of freedom. If the absolute value of the t-statistic exceeds the critical value, it indicates that the variable is statistically significant.

In this case, since the t-statistic is 2.54, it means that the observed value deviates from the expected value by a significant amount, and it is unlikely to have occurred by chance alone. Therefore, the variable is statistically significant.

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Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:27.5%

Step-by-step explanation:

i did this by taking them away theni took away 20 % then 5% then 2.5% that got

me27.5%

Answer:

D

Step-by-step explanation:

x>10 is your answer. since theres no less than or greater or equal to c and B are automatically out. x>10 says x is greater then 10 so it is D

Its B, always remember to check if the dot is opened or closed on the line!!

Answer:300 m

Step-by-step explanation:

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

The predicted value of the chlorine concentration in 2060 according to the linear function is 5.06 ppb. So, the correct option is B.

To find the linear function that models the relationship between the year and chlorine concentration, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where y is the chlorine concentration and x is the year. We can choose any two points from the table to find the slope, m:

m = (y2 - y1)/(x2 - x1)

Let's choose the points (1985, 2.8) and (2035, 4.0):

m = (4.0 - 2.8)/(2035 - 1985) = 0.02

Now we can use the slope and one of the points to find the y-intercept:

y - y1 = m(x - x1)

y - 2.8 = 0.02(x - 1985)

y = 0.02x - 39.6

Therefore, the linear function that models the relationship between year and chlorine concentration is y = 0.02x - 39.6.

To find the predicted value of chlorine concentration in 2060, we can substitute x = 2060 into the equation:

y = 0.02(2060) - 39.6 = 5.06

Therefore, the predicted value of the chlorine by linear function is 5.06 ppb, which is option B. is correct.

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_____The given question is incomplete, the complete question is given below:

The concentration of chlorine in the atmosphere serves as an indicator damage to the ozone layer. The table to the right shows the relationship of chlorine concentration in parts per billion (ppb), to the year. Using values as accurate as possible in the function, what is the predicted value of the chlorine concentration in 2060 according to the linear function? OA. 4.56 O B. 5.06 O C. 4.81 LIN LIITUTE 1985 2.8 1995 3.6 2010 4.2 2035 4.0 Choose the graph of the function of the best fit. A. DB. Q 3 oc. D [0,60.0.6] Xscl = 10, Yscl = 1

Previous question

Answer:

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Step-by-step explanation:

Diameter of cylinder = 8 inches

Diameter of cone = 8 inches

Height of cylinder = 9 inches

Height of cone = 18 inches

We need to find the relationship between the volume of this cylinder and this cone.

First we will find volume of the cylinder

The formula used is: \(Volume=\pi r^2h\)

We have

Diameter of cylinder = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cylinder = 9 inches

Putting values and finding volume

\(Volume=\pi r^2h\\Volume=3.14\times (4)^2 \times 9\\Volume=452.16\)

So, Volume of cylinder = 452.16 inches³

Now, we will find volume of the cone

The formula used is: \(Volume=\pi r^2\frac{h}{3}\)

We have

Diameter of cone = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cone = 9 inches

Putting values and finding volume

\(Volume=\pi r^2\frac{h}{3}\\Volume=3.14 \times (4)^2 \times \frac{18}{3}\\Volume=3.14 \times (4)^2 \times 6\\Volume=301.44\)

So, Volume of cone = 301.44 inches³

Now, comparing volume of both cylinder and cone.

Volume of cylinder = 452.16 inches³

Volume of cone = 301.44 inches³

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Answer:

The answer is 15 and 10

Step-by-step explanation: