what is the value of x?
2
3
6
7​

Answer:

Step-by-step explanation:

-2y + 9 = -x

x - 2y = -9

Plug in each set of points and see if the equation holds true.

A. 2 - 2(5) = ?

B. -3 - 2(15) = ?

C. 4 - 2(-1) = ?

I don't think that any of them work.

Answer:

x=8 x=16

Step-by-step explanation:

Given function:

Thinks:

Rewrite as:

Thereform, x=8 and x=16.

100 hundred times larger

Answer:

172.8m³

Step-by-step explanation:

1/2(7.2)(4.8)(10)=172.8m³

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

9514 1404 393

Answer:

  4. b =-√(3)/3

  5. 1/2

Step-by-step explanation:

4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...

  tan(150°) = -(√3)/3

__

5. The cotangent is the inverse of the tangent, and vice versa.

  tan = 1/cot

  tan(θ) = 1/2

Answer:

7

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

The height of the rock after t seconds is given by the following equation:

[tex]H(t) = -16t^2 + 96t + 112[/tex]

How long will it take in seconds for the rock to hit the ocean?

This is t for which:

[tex]H(t) = 0[/tex]

So

[tex]-16t^2 + 96t + 112 = 0[/tex]

Simplifying by -16

[tex]t^2 - 6t - 7 = 0[/tex]

So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]

[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]

[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]

[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]

Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

Answer:

533m

Step-by-step explanation:

41x26 divide by 2

A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.

Area of triangle = (1/2) × base × height

Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.

Now, the area of the triangle DNE is,

Area of triangle = (1/2) × base × height

Area of ΔDNE = (1/2) × 41 meters × 26 meters

                        = 533 meters²

Hence, the area of the ΔDNE is 533 meters².

Learn more about Triangle here:

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Answer:

[tex]C =\frac{5}{9}(F - 32)[/tex]

Step-by-step explanation:

Given

[tex]F = 1.8C + 32[/tex]

Required

Solve for C

[tex]F = 1.8C + 32[/tex]

Subtract 32 from both sides

[tex]F-32 = 1.8C + 32-32[/tex]

[tex]F-32 = 1.8C[/tex]

Divide both sides by 1.8

[tex]\frac{1}{1.8}(F - 32) = C[/tex]

Express the decimal as fraction

[tex]\frac{1}{18/10}(F - 32) = C[/tex]

[tex]\frac{10}{18}(F - 32) = C[/tex]

Simplify

[tex]\frac{5}{9}(F - 32) = C[/tex]

[tex]C =\frac{5}{9}(F - 32)[/tex]

Answer:

Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°

Step-by-step explanation:

For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".

There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.

The slope is -1, so that means to find a different point we go down 1 and right 1.

The only point that's the same on the two lines are (0, 3).

When go down 1 and right 1, the point should be: (1,2)

The only line that satisfy this is the bottom left graph.

For problem 2, ∠a and ∠b must add up to 180°.

So the equation for problem 2 is: ∠a + ∠b = 180°

For problem 3, ∠a and ∠b are equal because they're opposite angles.

So the equation for problem 3 is: ∠a = ∠b

For problem 4, ∠a and ∠b must add up to 90°.

So the equation for problem 4 is: ∠a + ∠b = 90°

For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.

So the equation for problem 5 is: ∠a + ∠b = 90°

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

Answer:

The age of Joey is 4 years  and

The age of Martina is 22 years .

Step-by-step explanation:

Given as :

Martina is 18 years older than her Joey

In 5 years, Martina will be three times older than Joey

Let The age of Martina = M years

And The age of Joey = J years

Now, According to questions

M = J + 18          ........1

(M+5) = 3 × (J+5)

Or, M + 5 = 3 J + 15

Or, M - 3 J = 15 - 5

∴ M - 3 J = 10                ..........2

Solving eq 1 and 2

Put the value of M from eq 1 into eq 2

So, (J + 18) - 3 J = 10

Or, J - 3 J = 10 - 18

Or, - 2 J = - 8

∴ J =

i.e J = 4 years

So, The age of Joey = J = 4 years

Now, Put the value of J in eq 1

So, M = J + 18

Or, M = 4 + 18

∴ M = 22 years

So, The age of Martina = M = 22 years

Hence,The age of Joey is 4 years  and The age of Martina is 22 years . Answer

Answer:

sorry the image is not clear

Answer:

42

Step-by-step explanation:

If y equals 3, then substitute y for 3, getting 45 - 3.  

45 - 3 is 42, so that's your answer.  

Hope this helped!  

Answer:

The slope is -4 and the y-intercept is 8.

Step-by-step explanation:

y+4x=8

y=8-4x

y=-4x+8

y=mx+b where m=slope and b=y-intercept.

Hello!

The equation of this line is written in slope-intercept form (y=mx+b)

Where

m is the slope

b is the y-intercept

m is 4

b is 8

Hope it helps!

If you have any questions, feel free to ask! :)

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

a. -2

b. 48, -96, 192

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

6^2+4^2=52

7^2=49

49 is not equal to 52, so no it is not a right triangle

Answer:

Step-by-step explanation:

yes yes i can i just need you pitcher the one u put dose not work

Answer:

Step-by-step explanation:

3/8+1/4

LCM

3/8+2/8

5/8

Answer:

a)

[tex]P(X \leq 1) = 0.01[/tex]

[tex]P(X \leq 2) = 0.03[/tex]

[tex]P(X \leq 3) = 0.15[/tex]

[tex]P(X \leq 4) = 0.40[/tex]

[tex]P(X \leq 5) = 0.82[/tex]

[tex]P(X \leq 6) = 0.98[/tex]

[tex]P(X \leq 7) = 1[/tex]

b)

4.61

c) 1.1579

d) 5 is the third quartile of this distribution.

Step-by-step explanation:

We are given the following discrete distribution:

[tex]P(X = 1) = 0.01[/tex]

[tex]P(X = 2) = 0.02[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.42[/tex]

[tex]P(X = 6) = 0.16[/tex]

[tex]P(X = 7) = 0.02[/tex]

a. Find the cdf of X.

Probability of X being less of equal to x. Than

[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]

[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]

[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]

[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]

[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]

[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]

[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]

b. Find the expected number of courses a student is taking this semester.

Multiplication of every outcome by its probability.

[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]

c. Find the variance of X.

Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So

[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]

d. Find the third quartile of this distribution.

100*(3/4) = 75th percentile

The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.

Hi!!!

B. the point lies directly on the regression line.

Hope this helped!

Have a good day:)

The point lies directly on the regression line.

Option B is the correct answer.

A regression line is a straight line that represents the relationship between two variables in a scatter plot.

In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.

We have,

When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.

If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.

This can occur when the data point falls directly on the regression line, as in option B.

Thus,

The point lies directly on the regression line.

Learn more about regression lines here:

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The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. The answer is 33 i believe

Step-by-step explanation:

Answer:

Quotient = m2-6m+81 Remainder = -560

Step-by-step explanation:

in the pic above

Answer:

D. 1/15

Step-by-step explanation:

Actual tree = 10 ft = 12 × 10 = 120 in.

Model tree = 8 in.

Scale factor = model tree/actual tree

Scale factor = 8/120

Scale factor = 1/15