Which equation represents the slope-intercept form of the line below?
6+
y-intercept = (0, 3)
slope = 4

Answer:

BD = DB'

CG = GC'

m∠EFA = 90°

The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

Step-by-step explanation:

The objective is to  Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent.

Given that:

[tex]\mathbf{[T(v_1) +T(v_2) ...T(v_p)]}[/tex] is linearly dependent set

Thus; there exists scalars [tex]\mathbf{k_1 , k_2 ... k_p}[/tex] ; ( read as "such that")  [tex]\mathbf{k_1 T(v_1) +k_2T(v_2) ...k_pT(v_p)=0}[/tex]

[tex]\mathbf{= T(k_1 v_1 +k_2v_2 ...k_pv_p)=0}[/tex]

T = 0                                  (for the fact that T is linear transformation)

[tex]\mathbf{k_1 v_1 +k_2v_2 ...k_pv_p=0}[/tex]     (due to T is one-one)

NOTE: Not all Ki's are zero;

Thus;

[tex]\mathbf{[v_1,v_2 ...v_p] }[/tex]  is linearly dependent

It negation also illustrates that :

If [tex]\mathbf{[v_1,v_2 ...v_p]}[/tex] is also linearly independent then [tex]\mathbf{[T(v_1),T(v_2) ...T(v_p)]}[/tex] is also linearly independent.

Here we will use algebra to find three consecutive integers whose sum is 228. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 228. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 228

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 228

3X + 3 = 228

3X + 3 - 3 = 228 - 3

3X = 225

3X/3 = 225/3

X = 75

Which means that the first number is 75, the second number is 75 + 1 and the third number is 75 + 2. Therefore, three consecutive integers that add up to 228 are 75, 76, and 77.

75 + 76 + 77 = 228

We know our answer is correct because 75 + 76 + 77 equals 228 as displayed above.

Answer:

74, 76, 78

Step-by-step explanation:

The numbers are even and consecutive so they are 2x, 2x+2 and 2x+4 because any number multiplied by 2 is always even and they are even CONSECUTIVE,. So 2 and 4

Now their sum is given as 228 so,

2x+2x+2+2x+4= 228

6x+6= 228

6x= 228-6= 222

x= 222/6

= 37

So the numbers are:

2x= 37*2= 74

2x+2= 74+2= 76

2x+4= 74+4= 78

Answer:one lakh....

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:

1 Lakh = 100 Thousands

Step-by-step explanation:

Answer:

The probability that at least 13 flights arrive late is 2.5196 [tex]\times 10^{-6}[/tex].

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

[tex]P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........[/tex]

where, n = number of trials (samples) taken = 18 Southwest flights

           r = number of success = at least 13 flights arrive late

          p = probability of success which in our question is probability that

                flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = Number of flights that arrive late.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X [tex]\geq[/tex] 13)

P(X [tex]\geq[/tex] 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= [tex]\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}[/tex]

= [tex]\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}[/tex]

= 2.5196 [tex]\times 10^{-6}[/tex].

Answer:

The question is not clear.

Step-by-step explanation:

Normally it helps to rewrite 8 as

8 = 2 * 2 * 2 = 2³

However the question is not clear.

There are no following expressions given...

By 2X^2 +8,

do you mean 2*x² + 8, or do you mean 2*x^(2 + 8)

or did you perhaps mean 2^(x+8)

Next time, please add a picture.

Answer:

(2x-4i)(x+2i)

Answer:

Mean = 3x

Step-by-step explanation:

Mean = [tex]\frac{SumOfObservations}{No. OfObservations}[/tex]

Mean = [tex]\frac{x+2x+3x+4x+5x}{5}[/tex]

Mean = [tex]\frac{15x}{5}[/tex]

Mean = 3x

The mean, also known as the average of x, 2x, 3x, 4x, and 5x is 3x as per the concept of Simplifying.

To find the mean of x, 2x, 3x, 4x, and 5x, we need to add up all the values and divide by the total number of values.

In this case, we have five values.

Mean = (x + 2x + 3x + 4x + 5x) / 5

Simplifying the numerator:

Mean = (15x) / 5

Mean = 3x

Therefore, the mean of x, 2x, 3x, 4x, and 5x is 3x.

The mean, also known as the average, represents the central tendency of a set of values. In this case, the mean is 3x, which indicates that on average, the values x, 2x, 3x, 4x, and 5x are three times the value of x.

To learn more about the mean;

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Answer:

252

Step-by-step explanation:

The order of the books isn't important, so we'll use combinations.

The number of ways to choose 5 books from 10 is:

₁₀C₅ = 10! / (5! (10 − 5)!)

₁₀C₅ = 10! / (5! 5!)

₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)

₁₀C₅ = 252

Answer:

  1

Step-by-step explanation:

The quadratic relation is a perfect square:

  y = (7x +3)²

so has one zero, where the factor is zero:

  7x +3 = 0

  7x = -3

  x = -3/7

_____

It is useful to have handy reference to the form of the square of a binomial:

  (a +b)² = a² +2ab +b²

Here, your first clue is that 49x² and 9 are both perfect squares: (7x)² and (3)². It is easy to check that the middle term is twice the product of these roots:

  2(7x)(3) = 42x . . . . matches the middle term

So, the given expression is equivalent to ...

  y = (7x +3)²

Answer:

Step-by-step explanation:

Recall that two events A,B are called mutually exclusive if and only if [tex]A\cap B = \emptyset [/tex] (their intersection is empty). They are exhaustive if they are mutually exclusive and their union is the sample space.

Based on this

a) Note that [tex]A\cap B = \{1,6\}[/tex], so they are not mutually exclusive nor exhaustive.

b) [tex]A\cap C = \{1\}[/tex] so they are not mutually exclusive nor exhaustive.

c) [tex]A\cap D = \emptyset [/tex], so they are mutually exclusive. Note that [tex]A\cup D = \{1,2,3,4,5,6\}=S[/tex]. Then they are exhaustive.

d) [tex]B\cap C = \{1,5\}[/tex], so they are not mutually exclusive nor exhaustive.

Answer:

Step-by-step explanation:

1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...

  g(x) = 2|x|

__

2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.

  g(x) = -2|x|

__

3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.

  g(x) = -2|x| -3

__

4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...

  g(x) = -2|x -1| -3

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

[tex]E_2 = (\frac{4}{5})^{-1} = 1.25[/tex]

For the next unique toy, there is now a 3 in 5 chance of getting it:

[tex]E_3 = (\frac{3}{5})^{-1} = 1.67[/tex]

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

[tex]E_4 = (\frac{2}{5})^{-1} = 2.5[/tex]

Finally, there is a 1 in 5 chance to get the last unique toy:

[tex]E_5 = (\frac{1}{5})^{-1} = 5[/tex]

The expected number of boxes to obtain a full set is:

[tex]E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes[/tex]

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

Answer:

(B)x = Negative StartFraction 6 over 4 EndFraction

[tex]-\dfrac{6}{4}[/tex]

(D)x = negative three-halves

[tex]-\dfrac{3}{2}[/tex]

Step-by-step explanation:

We want to determine which fraction is equivalent to

[tex]\dfrac{1}{4}+x=-\dfrac{5}{4}\\$First, we collect like terms$\\x=-\dfrac{5}{4}-\dfrac{1}{4} \\\\=\dfrac{-5-1}{4}\\=-\dfrac{6}{4}\\x=-\dfrac{6}{4}[/tex]

This value of x is the result in Option B.

Reducing [tex]-\dfrac{6}{4}[/tex] to its lowest form:

[tex]-\dfrac{6}{4}=-\dfrac{3}{2}[/tex] which is Option D.

Therefore, the correct options are: B and D

Answer:

[tex]508.68[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]\pi r^{2} (1/2)[/tex]

[tex](3.14)(18^{2})(1/2)[/tex]

[tex]12717/25 = 508.68[/tex]

Answer:

[tex] m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2[/tex]

And then we can find the y intercept using one point for example (0,800) and we have:

[tex] 800= -2*0+ b[/tex]

[tex] b= 800[/tex]

And our model would be:

[tex] y = -2x +800[/tex]

And the x intercept would be if y=0 then

[tex] 0 =-2x +800[/tex]

[tex] x =400[/tex]

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Step-by-step explanation:

We have the following points given:

(0, 800) and (400, 0)

If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:

[tex] y=mx +b[/tex]

Where

[tex] m=\frac{y_2 -y_1}{x_2 -x_1} =\frac{0-800}{400-0}= -2[/tex]

And then we can find the y intercept using one point for example (0,800) and we have:

[tex] 800= -2*0+ b[/tex]

[tex] b= 800[/tex]

And our model would be:

[tex] y = -2x +800[/tex]

And the x intercept would be if y=0 then

[tex] 0 =-2x +800[/tex]

[tex] x =400[/tex]

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Answer:

And then we can find the y intercept using one point for example (0,800) and we have:

And our model would be:

And the x intercept would be if y=0 then

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Step-by-step explanation:

We have the following points given:

(0, 800) and (400, 0)

If we want to find the x intercept and y intercept we need to remember that we need to set a linear model given by:

Where

And then we can find the y intercept using one point for example (0,800) and we have:

And our model would be:

And the x intercept would be if y=0 then

x intercept =400 represent the value of x when y =0

y intercept = 800 represent the value of y when x =0

Step-by-step explanation:

Refer to the provided image.

A triangle with one of its angles to be 90°. That is if a triangle has one right angle then the triangle is a right-angled triangle.

A right-angled triangle's hypotenuse is the longest side. It's the side that's on the opposite side of the right angle.

A leg of a right-angled triangle is the side that is adjacent to the right angle.

The height of the right-angled triangle when the hypotenuse is considered as the base is called the Altitude of the right-angled triangle.

Considering the definitions above label the figure accordingly.

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Answer:

[tex] X= v_i t + \frac{1}{2}a t^2 [/tex]

And from this equation we can solve for a like this:

[tex] 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2[/tex]

And solving for a we got:

[tex] 104.55m = \frac{1}{2}a (28.7s)^2[/tex]

[tex] a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2[/tex]

Step-by-step explanation:

For this case we have the velocity , distance and time given:

[tex] v = 3.5 m/s, d=205m, t =28.7s[/tex]

And we know from kinematics that he velocity can be expressed like this:

[tex] v_f = v_i +a t[/tex]

We also know that the distance is given by:

[tex] X= v_i t + \frac{1}{2}a t^2 [/tex]

And from this equation we can solve for a like this:

[tex] 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2[/tex]

And solving for a we got:

[tex] 104.55m = \frac{1}{2}a (28.7s)^2[/tex]

[tex] a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2[/tex]

Answer:

w || n and n ⊥ m

Step-by-step explanation:

To find out which statement is true, recall the following:

1. 2 lines are said to be parallel to each other if they do not intersect at any given point and are of the same distant apart. Parallel is denoted by ||

2. 2 lines are said to be perpendicular if both lines intersect at a right angle. It is denoted by ⊥

==>From the diagram given, we can see that w and n are of the same distant apart and they do not intersect at any given point.

Also, we can see that n and m intersect at point X to at right angle.

Therefore, we can conclude that w || n and n ⊥ m

Answer:

8.80$

Step-by-step explanation:

Total 20.20. 6.06 x 2=12.12. 20.20-12.12=8.80$

Mathew paid 8.80$

Clarence paid 12.12$

Daniel paid 6.06$

Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 [tex]\times[/tex] 0.66 [tex]\times[/tex] 0.66)

                     = 1 - 0.2875 = 0.7125

Answer:

Number of shorts = 40

Number of t-shirt = 160

Step-by-step explanation:

Let number of t-shirts = t

Let number of shorts = s

Price of each t-shirt = $5

Total price of t-shirts = 5t

Price of each shorts = $6

Total price of shorts = 6s

So,

5t+ 6s = 1,040...............Eq1

 Given:

Number of t-shirt = 4 (number of shorts)

So,   t = 4s ................Eq2

From Eq1 and Eq2

5t+ 6s = 1,040

5(4s) +6s = 1,040

20s + 6s = 1,040

26s = 1,040

Number of shorts = 40

Number of t-shirt = 4(number of shorts)

Number of t-shirt = 4(40)

Number of t-shirt = 160

Answer:

$1.05

Step-by-step explanation:

Say the price of a piece of bubble gum is x. This means that we can represent our scenario with the equation (x+1)+x=1.10, with (x+1) representing the price of a candy bar. We can then solve from there.

(x+1)+x=1.10 - Given

2x+1=1.10 - Simplify

2x=0.10 - Subtract From Both Sides (sorry, I forgot the name of this property)

x=0.05 - Divide From Both Sides

So now we have the price of the piece of bubble gum, but we want the cost of the candy bar. Fortunately, we know it costs one dollar more than the piece of bubble gum, so just do 0.05 + 1. This means our candy bar costs $1.05.

The candy bar cost, in dollars, is $1.05

Say the price of a piece of bubble gum is x.

This means that we can represent our scenario with the equation (x+1)+x=1.10, with (x+1) representing the price of a candy bar.

We can then solve from there.

We have given that,

(x+1)+x=1.10

Simplify above expression

2x+1=1.10

2x=0.10 - Subtract From Both Sides

x=0.05 - Divide From Both Sides

So now we have the price of the piece of bubble gum, but we want the cost of the candy bar.

Cost is the value of money that a company had to spend to produce its goods or services.

Fortunately, we know it costs one dollar more than the piece of bubble gum, so just do 0.05 + 1. This means our candy bar costs $1.05.

To learn more about the cost visit:

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Answer:

Option (2). None

Step-by-step explanation:

A quadrilateral ABCD has been given with a property,

m∠7 = m∠4

Option (1). AB║ DC

For AB║DC, angle 7 and angle 3 should measure the same.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AB║DC.

Option (3). AD║BC

For AD║BC, angle 7 and angle 3 must be equal in measure.

(By the property of alternate angles)

Therefore, by the given property we can not deduce AD║DC

Option (2). None will be the answer.

Answer:

$77,558.55

Step-by-step explanation:

A fix periodic payment for specific period of time.

We need to calculate the present value annuity to determine the value of investment today.

Present value of annuity = P x ( 1 - ( 1 + r )^-n / r )

where

P = Periodic payment = $12,000

r = interest rate = 10% / 2 = 5%

n =numbers of payment = 4 years x 2 = 8 payments

Placing values in the formula

Investment Value today = $12,000 x ( 1 - ( 1 + 5% )^-8 / 5% )

Investment Value today = $77,558.55

Answer:

see below

Step-by-step explanation:

5x - 6y = 21

Let x = 0 and solve for y to find the y intercept

-6y = 21

Divide by -6

y = 21/-6 = -7/2

The y intercept is (0,-7/2)

5x - 6y = 21

Let y = 0 and solve for x to find the x intercept

5x = 21

Divide by 5

y = 21/5 = 21/5

The x intercept is (21/5,0)

Answer:

x=4.2 (x-intercept)

y=-3.5 (y-intercept)

Step-by-step explanation:

To find the x-intercept, we know that y=0. To find the y-intercept, we know that x=0. All we have to do is plug in 0 into either x or y to find the x-intercept and y-intercept.

X-intercept

5x-6(0)=21

5x-0=21

5x=21

x=4.2

Y-intercept

5(0)-6y=21

0-6y=21

-6y=21

y=-3.5

Answer:

B and A

Step-by-step explanation:

So based on the facts given, we know that b and a both have the same abasolute value. It does not matter whether a or b is negative or positive.

Solution,

Radius=2 m

Area =pi r^2

= 3.142*(2)^2

=12.568 m^2

hope it helps

Good luck on your assignment

Answer:

option 2

Step-by-step explanation:

4^2=16/8=2.  4^2=16/16=1.  2-1=1

Answer:

  yes

Step-by-step explanation:

One way to describe a sine function is that it is the y-coordinate of a point on the unit circle that is θ radians counterclockwise from the x-axis:

  y = sin(θ)

__

Another way to describe the sine function is that it is the solution to the differential equation for undamped "simple harmonic motion."

  y'' + y = 0; y'(0) = 1, y(0) = 0

  y = sin(x)

Answer:

True

Step-by-step explanation: