If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL

Answer:

if I'm not wrong, its x>34

Step-by-step explanation:

multiply both sides by 3

3(x - 4)/3 > 10 x 3

x - 4 > 30 (simplify)

add 4 to both sides and x > 34

Answer:

yes

Step-by-step explanation:

they are congruent

Answer:

im answering for points

Step-by-step explanation:

sorry people who wanna answer

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/13291928

Answer:

Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w

Step-by-step explanation:

We are given

A rectangular box with dimensions

Width = w

Length =  l

Height = h

This needs to be visualized in 3D

First type of Sides of the box is made using the width and height

second type is made using length and height

Area of the 1st two sides = 2*w*h

Area of the 2nd type of sides = 2*l*h

Area of the top and bottom  = 2*l*w

Cost for sides = 1cent/cm^2

Cost of the sides calculated = cost* Area=  1*(2*w*h+2*l*h)

                                                                   = 2h(w + l)

similarly

cost of top and bottom = 2*2*l*w = 4*l*w

Total Cost = 2h(w + l) + 4l*w

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A linear function has exactly one output to each input.

The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.

Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

learn more about function here:

brainly.com/question/21145944

#SPJ6

0 solutions.

2(75+8) =5(85+9)

166≠470

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Answer:

x = 9

Step-by-step explanation:

According to the midsegment theorem,

HG = ½(QS)

Thus:

21 + 2x = ½(2x + 24)

Multiply both sides by 2

2(21 + 2x) = 2x + 24

42 + 4x = 2x + 24

Collect like terms

42 - 24 = 2x - 4x

-18 = -2x

Divide both sides by -2

9 = x

x = 9

Answer:

He can buy 4 books with 2 dollars remaining

Step-by-step explanation:

30/7 = 4 R2

Answer: 4 books.

Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.

Therefore, he can buy 4 books. I hope this helped!

Answer:

I’m sorry but I don’t understand the question

Step-by-step explanation:

Answer:

6 and 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

Hope this helped you :)

6 and 4

6-4 = 2

6+4 = 10

They tell you the sum is 10, so think of #'s that make 10:

1,9

2,8

3,7

4,6

5,5

Now, which ones make 2 when subtracted

9-1 = 8

8-2 = 6

7-3 = 4

6-4 = 2

5-5 = 0

Therefore, the answers are 6 and 4

Answer:

0

Step-by-step explanation:

Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.

To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex],  into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]

Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.

I hope this helps!

Answer:

Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).

To show the negative of a square root, a negative sign would have to be placed outside the radical.

Answer:

Step-by-step explanation:

Because √-1 is an imaginary number √-1=i

They are imaginary because there are no same real numbers multiplyed that gives you a negative number

√4 = √2*2 ( +2*+2 =+4)

√4 = √-2*-2 (-2*-2 =+4)

√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)

Answer:

A)  P(Z > 5000) = 0.0322

B)  P( Y = 2 or 3) ≅  0.9032

Step-by-step explanation:

From the given information;

Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.

Then;

X & Y are independent and they follow a normal distribution.

i.e.

[tex]XY \sim N(\mu,\sigma^2)[/tex]

[tex]XY \sim N(2200,230^2)[/tex]

If we set Z to be equal to X+Y

Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal

[tex]Z \sim N(4400,105800)[/tex]

So;

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]

From the Z - tables;

P(Z > 5000) = 1 - 0.9678

P(Z > 5000) = 0.0322

B)

Let Y be the random variable that obeys the Binomial distribution.

Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000

Thus;

[tex]Y \sim Bin(3,p)[/tex]

where;

[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]

[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]

p = 1 - P( Z < - 0.869565)

From the Z - tables;

p = 1 - 0.1924

p = 0.8076

Now;

P(Y ≥ 2) = P(Y = 2) + P( Y =3 )

Using the formula

[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]

[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]

[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]

[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]

P( Y = 2 or 3) = 0.9031911541

P( Y = 2 or 3) ≅  0.9032

BE? I don't really know lol

Answer:

The largest advertisement she can afford has dimensions of 5 in x 10/3 in

Step-by-step explanation:

Assume the dimensions of the advertisement are L and W.

The area of the advertisement is:

A = L.W

The ratio length/width is 3:2, thus the proportion is:

[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]

Thus:

[tex]\displaystyle L=\frac{3}{2}W[/tex]

The area is:

[tex]\displaystyle A=\frac{3}{2}W^2[/tex]

Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:

[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]

Simplifying:

[tex]\displaystyle C=\frac{9}{2}W^2[/tex]

This cost can be a maximum of $50, thus:

[tex]\displaystyle \frac{9}{2}W^2=50[/tex]

Multiplying by 2:

[tex]9W^2=100[/tex]

Solving for W:

[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]

[tex]\displaystyle W=\frac{10}{3}[/tex]

And

[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]

L = 5

Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in

Answer:

I think true.

Step-by-step explanation:

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

Answer:

Volume of sphere is 150.45 m³

Step-by-step explanation:

We are given:

Radius of sphere = 3.3 m (3-3 m can't be radius, It can be either 3 m or 3.3 m. I am considering 3.3 for solving)

We need to find Volume of sphere

The formula used is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]

Putting values and finding volume

[tex]Volume=\frac{4}{3}\pi r^3\\Volume=\frac{4}{3}\times 3.14 \times (3.3)^3\\Volume=\frac{4}{3}\times 3.14 \times 35.937\\Volume=150.45\:m^3[/tex]

So, Volume of sphere is 150.45 m³

Answer:

D.

Step-by-step explanation:

the difference between 85 and 72 is 13. 13 is 18% of 72.

Answer:

8/12

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%