A 19 in. monitor has a length of 16 in. What is its width?

10.25 in.
14.64 in.
16.51 in.
18.91 in.

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

[tex]y = \frac{340110}{1 + 377e^{-0.259t}}[/tex]

Solving (a): 1998

Year 1998 means that:

[tex]t =1998 - 1980[/tex]

[tex]t =18[/tex]

So, we have:

[tex]y = \frac{340110}{1 + 377e^{-0.259*18}}[/tex]

[tex]y = \frac{340110}{1 + 377e^{-4.662}}[/tex]

[tex]y = \frac{340110}{1 + 3.562}[/tex]

[tex]y = \frac{340110}{4.562}[/tex]

[tex]y = 74553[/tex] --- approximated

Solving (b): 2003

Year 2003 means that:

[tex]t = 2003 - 1980[/tex]

[tex]t =23[/tex]

So, we have:

[tex]y = \frac{340110}{1 + 377e^{-0.259*23}}[/tex]

[tex]y = \frac{340110}{1 + 377e^{-5.957}}[/tex]

[tex]y = \frac{340110}{1 + 0.976}[/tex]

[tex]y = \frac{340110}{1.976}[/tex]

[tex]y = 172120[/tex] --- approximated

Solving (c): 2006

Year 2006 means that:

[tex]t = 2006 - 1980[/tex]

[tex]t =26[/tex]

So, we have:

[tex]y = \frac{340110}{1 + 377e^{-0.259*26}}[/tex]

[tex]y = \frac{340110}{1 + 377e^{-6.734}}[/tex]

[tex]y = \frac{340110}{1 + 0.4485}[/tex]

[tex]y = \frac{340110}{1.4485}[/tex]

[tex]y = 234802[/tex] --- approximated

Answer:

-1/2

Step-by-step explanation:

Answer:

B. <B is congruent to the <Z

OPTION B is the correct answer

Answer:

[tex]c = \frac{1}{12}[/tex]

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

[tex]3c + 3c + 6c = 1[/tex]

[tex]12c = 1[/tex]

[tex]c = \frac{1}{12}[/tex]

So the probability distribution is:

[tex]P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25[/tex]

[tex]P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5[/tex]

Mean:

Sum of each outcome multiplied by its probability. So

[tex]E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25[/tex]

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

[tex]V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875[/tex]

The variance of the distribution is of 0.6875.

total area =A1+A2+A3

A1=1/2b*h

A1=1/2*8mm*6mm

A1=24mmsquare

A2=1/2b*h

A2=1/2*8mm*6mm

A2=24mmsquare

A3=b*h

A3=8mm*6mm

A3=48mmsquare

Atotal=24mmsquare+24mmsquare+48mmsquare

Atotal=96mmsquare

Answer:

m = 60

Step-by-step explanation:

The context is very important, the 'm' represents the minutes late the parents are and from this we can eliminate some options :

- The last one because then a parent would drop their child off earlier

- The first one and the third one because it is too long

Answer:

4.24 inches

Step-by-step explanation:

1 inch / 50 miles = x / 212 miles      Cross multiply

1 inch * 212 miles = 50 miles * x      Divide by 50 miles

1 inch * 212 miles / 50 miles = x

x = 4.24 inches.

How much is 0.24 of an inch?

0.24 * 50 = 12

So 0.24 inches represents 12 miles.

Answer:

17

Step-by-step explanation:

because they are both above 5 so add 1

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

[tex] {3}^{2} = 9[/tex]

8 is a multiple of 4, and 9 is more than 8.

[tex] {11}^{2} = 121[/tex]

120 is a multiple of 4 and 121 is one more than it.

[tex] {25}^{2} = 625[/tex]

624 is a multiple of 4 and 625 is one more than it.

[tex] {37}^{2} = 1369[/tex]

1368 is a multiple of 4 and 1369 is one more than 1368.

[tex] {131}^{2} = 17161[/tex]

17160 is a multiple of 4.

Answer:

2.25 or 2 hours 15 mins

Step-by-step explanation:

90/40 = 2.25

Step-by-step explanation:

k=8.6

i think it is the right answer

Answer:

y = 5x + 1

Step-by-step explanation:

Given the coordinate points (0,1) and (5,0)

First, get the slope

Slope m =(0-1)/5-0

m = -1/5

Since the required line is perpendicular, then the required slope is;

M = -1/(-1/5)

M = 5

Since 1the y intecept id (0,1) i.e. 1

Required equation is y = mx+b

y = 5x + 1

This gives the required equation

Note that the coordinate (0,1) was used instead os (0,0)

Answer:

Answers are below!

Step-by-step explanation:

(2 + g) (8)

= (2 + g) (8)

Add a 8 after the 2, and flip.

= (2)(8) + (g)(8)

= 16 + 8g

= 8g + 16

= (4) (8 + -5g)

Add another 4, then flip.

= (4) (8) + (4) (-5g)

= 32 − 20g

= - 20g + 32

−7 (5-n)

= (−7) (5 + -n)

Add another 7, then flip.

= (−7) (5) + (-7) (-n)

= −35 + 7n

= 7n - 35

Use the distributive property.

a (b + c) = ab + ac

a = 8

b = 2m

c = 1

= 8 × 2m + 8 × 1

Simplify, you get 16m + 8.

Use the distributive property.

a (b + c) = ab + ac

a = 6x

b = y

c = z

= 6xy - 6xz is the answer.

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]

[tex]a=-3,\:b=2b,\:c=2a[/tex]

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Apply minus plus rules.

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Multiply the numbers.

3 x 2 = 6

Answer:

9. -35+7n

10. 16m+8

11. 6xy-6xz

Step-by-step explanation:

You multiplying the terms inside the ( ) by the outside factor.

This is call distributive property, a(b+c)=ab+ac.

Also, a(b+c)=(b+c)a by commutative property.

It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.

Anyhow, let's look at 9.,10., and 11..

9.

-7(5-n)

(-7)(5-n)

(-7)(5)-(-7)(n)

-35+7n

10.

8(2m+1)

(8)(2m)+(8)(1)

16m+8

11.

6x(y-z)

(6x)(y-z)

(6x)(y)-(6x)(z)

6xy-6xz

Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).

If you want comment below, if you want me to check any of yours or if you have any questions.

Answer:

$ 1943

Step-by-step explanation:

You two congruent trapezoids.

Find the area of one and multiply by 2.

A = [tex]\frac{base_{1} + base_{2} }{2}[/tex] x  h

  = [tex]\frac{28+39}{2}[/tex] x 14.5

  = [tex]\frac{67}{2}[/tex] x 14.5

  = 33.5 x 14.5

  = 485.75

  = 485.75 x 2 (Two trapezoids)

  = 971.50

  = 971.50 x 2 (two dollars a square foot)

  = 1943.00

Answer:

False

Step-by-step explanation:

Points T & W are coplanar. Point Z is on both planes, so it depends on how you see it. HOWEVER, Point U is on another plane (plane Q to be exact), so points T, Z, W, and U are NOT coplanar.

Hope it helps (●'◡'●)

Answer:

x = -2; y = 1

Step-by-step explanation:

See picture below.

We are told matrices B is the inverse of matrix A.

The product of a matrix and its inverse is the identity matrix.

Answer:

9

[tex]3^{\frac{4}{2} }[/tex] = [tex]3^{2} =9[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  2√13

Step-by-step explanation:

The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52

  d = 2√13

The radius of the circle is 2√13.

Answer:

[tex]CL=76secs[/tex]

Step-by-step explanation:

From the question we are told that:

Traffic Phases p=3

Phase time Lengths

25 seconds, 30 seconds, and 15 seconds

Red Per Phase [tex]T=2sec[/tex]

Generally the equation for Cycle Length is mathematically given by

 [tex]CL=Phase\ Length+Red\ Per\ Phase[/tex]

 [tex]CL=(25+2)+(30+2)+(15+2)[/tex]

 [tex]CL=76secs[/tex]

Answer:

8 suits

Step-by-step explanation:

Divide 30 m by 3 [tex]\frac{3}{4}[/tex] m , or 30 ÷ 3.75 , then

30 ÷ 3.75 = 8

Then 8 suits can be made from 30 m of cloth

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

-------------------------

Given:

[tex]4x+x-3-9+4x=6[/tex]

---------->>>>

Combine like terms.

[tex]9x-12=6[/tex]

---------->>>>

Add 12 to both sides.

[tex]9x=18[/tex]

---------->>>>

Divide both sides by 9.

[tex]x=2[/tex]

-------------------------

Hope this is helpful.

Answer:

[tex]\sin(\theta) = \frac{5}{27}[/tex]

Step-by-step explanation:

Given

[tex]\csc(\theta) = \frac{27}{5}[/tex]

Required

Determine [tex]\sin(\theta)[/tex]

In trigonometry identity;

[tex]\sin(\theta) = \frac{1}{\csc(\theta)}[/tex]

So, we have:

[tex]\sin(\theta) = \frac{1}{\frac{27}{5}}[/tex]

Take inverse of the fraction

[tex]\sin(\theta) = \frac{5}{27}[/tex]

Answer:

The answer is below

Step-by-step explanation:

A function is used to show the relationship between two or more variables. This variables are known as the input variables and output variables.

The input variables are variables which do not depend on other variables while the output variables are variables that depends on other variables.

Given that g(x) = 12x / (x-5); rewriting in the form g(x) = [a/(x-h)] + k, gives:

[tex]g(x)=\frac{60}{x-5}+12[/tex]

The graph of g(x) was plotted using online geogebra graphing calculator. The graph is attached.

Answer:

Step-by-step explanation:

Here,

<6 + 125° = 180° [Co-interior angles]

=> <6 = 180 - 125

=> <6 = 55° (Ans)

Answer:

B, C, and E

Step-by-step explanation: