Solve the following system of equations graphically on the set of axes below.
y=-x-6
x-2y=-6
Plot two lines by clicking the graph.
Click a line to delete it.

The distance between the satellite and the tracking station is 1220 miles

To find the distance between the satellite and the tracking station we need to apply cosine law:

                    [tex]c^{2} =a^{2} +b^{2} -2ab cos(\beta )----------(1)[/tex]

where:

c=length of side c

a=length of side a

b=length of side b

β=angle opposite c

we need to find the angle of β

computing the angle  β gives

[tex]\beta =\frac{3min}{120min} *360[/tex]

β=9°

Now substitute the β value ,a=4000,b=5000,in cosine law, and we get

[tex]x^{2} =4000^{2} +5000^{2} -2(4000)(5000)cos 9[/tex]

[tex]=(16+15-39.51)*10^{6 }\\=1.49*10^{6}[/tex]

x=1.22x10^3

x=1220 miles distance from the satellite to the tracking station.

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Answer: -8

Step-by-step explanation: When adding 2 negative numbers, you go farther back left on the number line. (Negative side) So, 4 + 4 = 8, and a negative + a negative = negative, so this results in -4 + (-4) = -8. I hoped this helped!

Answer:

p ≈ 10.24 cm

Step-by-step explanation:

r = 2p

h = 5p

Volume of a cone = (1/3)πr²h

22,500 = (1/3)π(2p)²(5p)

Now solve for p:

67500 = π4p²5p

67500 = π20p³

p³ = (67500)/π20 = 1074.3

p = ∛1074.3

p ≈ 10.24 cm

The original number is 57.

The two equations are x+y = 12 and (10y+x)−(10x+y) = 18.

Let the digit at the tens place be x and the digit at the unit place be y.

x+y = 12 .........(1)

Required Number = (10x+y).

Number obtained on reversing the digits = (10y+x).

According to the condition, we get

(10y+x)−(10x+y) = 18

→ 9y−9x = 18

→   y−x = 2     ..........(2)

Adding (1) and (2), we get

2y = 14

y =7

x = 12 - 7

x  = 5

Hence, the required number is 57.

The equations used to solve this is x+y = 12 and (10y+x)−(10x+y) = 18.

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The linear equation that representing the given model is 6x-3 = 15.

In the given question, we have to choose the equation represented by the model given below.

As we know that;

A linear equation represent the relationship between the two unknown variable. The equation of linear equation is of one degree.

The simplest linear equation shows the correlation between (x,y), which may then be used to make a table or a graph on the coordinate plane or to assess at a specific x or y value.

To write the equation that represented by the given model, we count the variable that are of the same type. Then we write them after counting.

As we can see that in the model have 6 triangles of x, 3 circles of -1 and 15 circles of 1. So the linear equation that representing the given model is 6x-3 = 15.

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The friend should change the multiplication of 9/4 to multiplication by the reciprocal of 9/4.

Option C is the correct answer.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

4(2/3) and 2(1/4)

Divide 4(2/3) by 2(1/4)

4(2/3) ÷ 2(1/4)

= 14/3 ÷ 9/4

Multiply the reciprocal of 9/4.

= 14/3 x 4/9

= 56/27

= 2(2/27)

Thus,

The value of the division of the fraction is 2(2/27).

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Answer: 1: 9x

Step-by-step explanation:

2: 3b

3: 3m

4: 5a

5: 7x

6: 3a+5b

7: 9x-4

8: m-6b

9: 13a+3b+6c

10: 1+9b

11: 7p

12: 2a+1b-10

g give a derivation to show that the following argument is valid in tfl. be p ∨ q) → r, p → s, ¬s → ¬r

1. (p ∨ q) → r Premise

2. p → s Premise

3. ¬s → ¬r Premise

4. p Assumption

5. s Modus Ponens (2, 4)

6. ¬r Modus Ponens (3, 5)

7. ¬(p ∨ q) Assumption

8. ¬p Simplification (7)

9. ¬q Simplification (7)

10. r Addition (1, 9)

11. Contradiction (6, 10)

12. ¬¬(p ∨ q) Double Negation (7-11)

13. (p ∨ q) Simplify(12)

14. r Modus Ponens (1, 13)

15. p → r Hypothetical Syllogism (4-14)

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Answer:

No.

Step-by-step explanation:

A function have only one output (y) for each x.  This is not true with this graph.  For example: the point (6,1) and ( 6,5) are both on the graph.  The input 6 has more than 1 output. It has the output of 1 and 5.  Since it has more than one output, it is not a function.

The two sided hypothesis of the given situation is H0 : p = 0.50 and Ha : p ≠ 0.50

in statistics, hypothesis is defined as a statement that explains the predictions and reasoning of your research.

Here we have given that cerebral tumors and cell phone use. in a case-controlled study on cerebral tumors and cell phone use, tumors occurred more frequently on the same side of the head where cellular telephones had been used in 26 of 41 cases.

And we need to find the test to the hypothesis that there is an equal distribution of contralateral and ipsilateral tumors in the population. use a two-sided alternative.

Here we have to find Hypothesis, for that we have to so the steps are shown below:

Let us considered the hypotheses for the study as shown below:

H0 : p =0.50

Versus,

Ha : p ≠ 0.50

Therefore, this is two tailed hypothesis test.

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Each interval's sample points are at the right ends. sample points :x 1 = 0∘x 2 =08x 3=0 8 is 0°, 8°, 16°

Since the sample points in each interval are right endpoints, we need to find the points that are 8° apart.

The first sample point x1 is 0°. To find the next two sample points, we need to add 8° to the first sample point.

Therefore, the second sample point x2 = 8°, and the third sample point x3 = 16°.

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Answer:

there is 2/8 and 3/12 .they are both equivalent to each ,and equal 1/4.2 is 1/4 of because 2×4=8 is 1/4 of 12 because 3×4=12.

The point estimate of the difference between the two population means is -1.05.

Here, we are given the data representing the scores of the golf players in the 1st and final rounds.

a. The significance level is: α = 0.10

we can construct the following hypothesis test-

Null hypothesis H₀ ⇒ μd = 0

This implies that there is no difference between the population mean of the first round and final round.

Alternative hypothesis: Ha ⇒ μd ≠ 0

This implies that there is a difference between the population mean of the 1st round and final round.

Now, the test statistic will be-

[tex]t = (d-mean_{d})\sqrt{n}/ s_{d\\}[/tex]

we can use excel to calculate the test statistic.

This will give us: 0.10 < P < 0.20

b. the main margin of error is 90% confidence level. This means that there is no significant difference, hence - 1.05.

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Your question was incomplete. Check for the missing figure below.

The expression using the common factor is 1/12xy(x² + 5y)

From the question, we have the following parameters that can be used in our computation:

1/12 x^3 y + 5/12 xy^2

Rewrite properly

So, we have

1/12x³y + 5/12xy²

Factor out 1/12 from the expression

So, we have the following representation

1/12(x³y + 5xy²)

Factor out x from the expression

So, we have the following representation

1/12x(x²y + 5y²)

Factor out y from the expression

So, we have the following representation

1/12xy(x² + 5y)

Hence, the expression is (c) 1/12xy(x² + 5y)

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Answer:The expression using the common factor is 1/12xy(x² + 5y)

Step-by-step explanation:

In standard form the equation of the line passing through the points,

(-3, -2) and (-1, 0). is

x - y = -1

Information given in the question include

points,  (-3, -2) and (-1, 0).

Standard form of linear equations is of the form Ax + By = C

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculating using the points  (-3, -2) and (-1, 0).

m = (0 - (-2)) / (-1 - (-3))

m = (2) / (2)

m = 1

if the line passes through point X(-1, 0)

y - 0 = 1(x - (-1))

y = x + 1

x - y = -1

the intercept C = 1

The equation of the line is x - y = -1

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a) The equation that describes the relation between x and y is y = 8x - 1000

b) They made 8% profit from selling the calendars

c) They will loss 1000 when they sold no calendars.

Given,

Members of student council had a loss of $360 after selling 80 calenders

They made a profit of $600 after selling 200 calenders.

y be the profit or loss

x be the calendars sold

We have to find the following;

a) The equation of the line in Slope-Intercept form is:

y = mx + b

Where "m" is the slope and "b" is the y-intercept.

We are aware that "y" here stands for the profit or loss and "x" for the quantity of calendars sold.

Then,

According to the exercise, the line passes through these two points:

(80, -360) and (200, 600)

Then,

We can find the slope of the line with the formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (-360 - 600) / (80 - 200)

m = -960/-120

m = 8

Now,

We can substitute the slope and one of those points into y = mx + b and solve for "b":

600 = 8 × 200 + b

-b = 1600 - 600

b = -1000

Then,

Substituting values, we get that the equation that describes the relation between the profit and loss and the number of calendars sold, is:

y = 8x - 1000

b) The slope of the line is the profit they made from selling each calendar

Profit = 8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b = -1000

They'd have lost $1000 if they had sold no calendars.

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If the 0.99 probability of completing the project on time, then the scheduled meeting date should he begin working on the project is 2.39 weeks

How to calculate the probability?

In math, the probability can be determined by first knowing the sample space of outcomes of an experiment and then by dividing the number of outcomes of an event by the total number of possible outcomes or sample space.

Here we have given that Doug Casey is in charge of planning and coordinating next spring’s sales management training program for his company.

And we need to find the If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project.

Here we know that the duration of the critical path determines the completion of the whole project.

Therefore, the mean completion time of the project =μ=15

And the the variance of the critical path = sum of the variances of the activities A, B, G, H, and I =0.03+0.44+0.44+0.11+0.03=1.06

Therefore, the standard deviation of the critical path or that of the whole project =σ=√1.06=1.03

Here we know that, if a 0.99 probability of completion is required, then the corresponding Z-score =2.3263

Then the actual completion time corresponding to a Z-score of

=> 2.3263 = μ+(Z×σ) = 15+(2.3263×1.03) = 15+2.39 = 17.39 weeks

Which states that the extra time needed over and above the mean completion time of the project of 15 weeks to have a 0.99 probability of completion =17.39−15=2.39 weeks

Therefore, in order to have a 0.99 probability of completing the project on time, the project should be started 2.39 weeks ahead of the scheduled meeting date.

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Number of marbles were not chosen = 62 marbles

Number of marbles were in the bag before the game = 86 marbles

Number pf blue marbles were chosen = 24

Number of blue marbles = 40

Number of white marbles = 46 marbles

Total number of marbles = 40 + 46

= 86 marbles

Of the 40 blue marbles, 3/5 fraction were chosen

Number of blue marbles chosen = 40 × (3/5)

= 24 marbles

Part a

Number of bag's marbles were not chosen = 86 - 24

= 62 marbles

Part b

Number of marbles were in the bag before the game = 86 marbles

Part c

Number of blue marbles were chosen = 40 × (3/5)

= 24 marbles

Therefore, the 62 marbles were not chosen. There were 86 marbles before the game and number of blue marbles were chosen is 24 marbles

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Answer:

c.

Step-by-step explanation:

as this can take on any value (with as many digits after the decimal point as necessary) between certain interval limits.

all the others are usually either pure integers (and every real number in between them is not valid) or at most have finite fractions (like 1/2 or 1/4 points for scores, and between these no value is valid).

Answer:

x=ln(4)

Step-by-step explanation:

e^2x +3e^x- 28=0  

u^2 + 3u - 28 = 0   ==> substitute u for e^x

u^2 - 4u + 7u - 28 = 0

u(u-4) + 7(u-4) = 0

(u-4)(u+7)=0    ==> simplify

u-4=0                     u+7=0

u=4                             u=-7

e^x=4                     e^x=-7       ==> substitute e^x for u

ln(e^x)=ln(4)           ln(e^x)=-7    ==> take natural log on each side

x=ln(4)                   x=ln(-7), which is not possible since natural log>0

x=ln(4)

Answer:

[tex]{e}^{x} = y \\ {y}^{2} + 3y - 28 = 0 \\ (y - 4)(y + 7) = 0 \\ y = 4 \\ y = - 7 \\ {e}^{x} = 4 \\ x = ln(4) \\ x = ln( - 7)[/tex]

1. The equation of the inverse variation is, y = 272/x.

2. When x = 12, y = 68/3

When y = 30, x = 136/15.

An inverse variation is defined by the equation, y = k/x, where k is the constant of proportionality between the relationship of y and x.

1. Given that y varies inversely with x, substitute y = 34 and x = 8 into y = k/x, and find the value of the constant of proportionality, k:

34 =  k/8

34 × 8 = k

k = 272

To write the equation, substitute k = 272 into y = k/x:

y = 272/x

2. When x = 12, we have:

y = 272/12

Simplify

y = 68/3

When y = 30, we have:

30 = 272/x

30x = 272

30x/30 = 272/30

x = 136/15

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The number of ID cards when no digit can be used more than once is 604,800 and when the digits can be repeated it will be 10,000,000 ID cards.

Permutations are several ways to arrange things in a specific sequence. It can alternatively be stated as the linear reordering of items within an ordered set.

As per the given information in the question,

Let's first make a list of all the potential outcomes. As follows:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

a.

No numeral may be used multiple times in the first instance.

Therefore,

10 × 9 × 8 × 7 × 6 × 5 × 4

= 604,800 ID cards

b.

In the second scenario, assuming it is possible to repeat the digits, then,

10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000 ID cards.

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Answer:

48%

Step-by-step explanation:

Finding percents

P * 75 = 36

Divide each side by 75

P = 36/75

P =.48

Change to percent form

P = 48%

Answer:

48%%%%%

Step-by-step explanation:

Answer:

7 km

Step-by-step explanation:

14/2 cm which equals 7km

Answer:

To solve the given system of equations, we can start by substituting the value of x in the second equation into the first equation. Since the second equation tells us that x = y - 2, we can substitute y - 2 for x in the first equation to get:

x = 17 - 4y

y - 2 = 17 - 4y

Then, we can combine like terms on the right-hand side to get:

x = 17 - 4y

-3y = 15

Finally, we can divide both sides by -3 to solve for y, and then substitute this value back into one of the original equations to solve for x:

x = 17 - 4y

y = -5

x = 17 - 4(-5) = 17 + 20 = 37

Therefore, the solution to the system of equations is x = 37 and y = -5.

Answer:

y = 2x + 6

Step-by-step explanation:

The equation is in point slope form or y = mc + b

where m is the slope and b is the y intercept

Since the graph is simply shifted up 3 units, the y intercept will change by increasing by 3, but the slope will not

Answer: 44ft^2

Step-by-step explanation:

plug it into the equation, h=11, b=8

so A=1/2(11)(8) = 44ft^2

Answer What is the midpoint of /AB? =b. point G

Step-by-step explanation:

AB is the abbreviation of “artium baccalaureus,” which is the Latin name for the Bachelor of Arts (BA) degree. It's a liberal arts degree, so it emphasizes the humanities, languages, and social sciences fields

A polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 8 is x³ - 7x² + 36.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Given,

As stated, the polynomial's leading coefficient is equal to 1.

The function's zeroes are also listed as -2, 3, and 6.

For root 3: ( x - 3)

for root 6: (x - 6)

As a result, the polynomial function is

f = 1(x+2)(x-3)(x-6) (x-6)

f = (x+2)(x² - 6x - 3x + 18)

f = (x+2)(x² - 9x + 18)

f = x³ - 9x² + 18x + 2x² - 18x + 36

f = x³ - 7x² + 36

A polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros -2, 3, 8 is x³ - 7x² + 36.

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On solving the provided question, we can that the answer - The distance between two points is the length of a line segment that connects them.

A line is a shape that has no width, depth, or curve in its geometry. It is an item that can be used for a long time. A line can exist in a two-dimensional, three-dimensional, or more dimensional space, but is still a one-dimensional object. A line segment with two endpoints is commonly called a "line".

Main notations:

A plane is a flat, indefinitely long, 2D surface with no thickness. Option 1 is accurate. A point is a precise place. It just has position; it has no length, breadth, or depth. Option 2 is untrue. Collinear points are any two or more points that are situated differently yet are on the same line. Option 3 is untrue. A line has no thickness, is straight (has no bends), and goes in both directions without ending (infinitely). Option 4 is accurate. The length of a line segment that links two places represents their distance. Option 5 is accurate.

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