Line t passes through points (10, 4) and (7, 9). Line u is parallel to line t. What is the slope of line u?

Answer: About 88 inches

=============================================

Explanation:

Find the circumference

C = pi*diameter

C = (22/7)*28

C = 88

The tire's circumference is approximately 88 inches. This is the perimeter or distance around the circle. As the bike moves forward one full rotation of the wheel, all of the wheel will touch the ground at some point. The bike will move about 88 inches forward when the wheel does one full rotation.

A good way to visualize this is to imagine cutting the tire so that you can unroll it to lay it out completely flat forming a straight line. This line will be roughly 88 inches long.

*see the given given in the attachment below

Answer:

x = 109°

Step-by-step Explanation:

Since AB is parallel to CF, m<BAE = m<AED = 38° (alternate interior angles are congruent)

Since AE = DE, ∆AED is an isosceles ∆.

The two base angles of any given isosceles ∆ are said to be congruent.

This means, m<EAD = m<EDA = ½(180 - m<AED)

m<EDA = [tex] \frac{1}{2}*(180 - 38) [/tex]

m<EDA = [tex] \frac{1}{2}*(142) = 71 [/tex]

x + m<EDA = 180° (angle on a straight line)

[tex] x + 71 = 180 [/tex]

[tex] x + 71 - 71 = 180 - 71 [/tex]

[tex] x = 109 [/tex]

Value of x = 109°

Answer:

5

Step-by-step explanation:

Answer:

Fraction of work shift represented by 6 hours = 0.6

Step-by-step explanation:

Total work shift of employee = 10 hours

Time considered  to find fraction = 6 hours

Fraction of work shift represented by 6 hours  6/10=3/5=0.6=60%

Fraction of work shift represented by 6 hours = 0.6

Answer:

0.75

Step-by-step explanation:

Total work shift of an employee is 8 hours

Time consist to find fraction is 6 hours

The fraction of work shift by 6 hours :

[tex]\frac{6}{8}[/tex]  =  [tex]\frac{3}{4}[/tex] = 0.75 = 75%

Answer:

x² - 2

Step-by-step explanation:

To obtain (g ￮ f)(x), substitute x = f(x) into g(x), that is

g(x² - 3)

= x² - 3 + 1

= x² - 2

Answer:

✔ x² - 2

Step-by-step explanation:

EDG 2020

Answer:

The solution of the inequation [tex]6\cdot x^{2} \geq 10 + 11\cdot x[/tex] is [tex]\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)[/tex].

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

[tex]6\cdot x^{2} \geq 10 + 11\cdot x[/tex]

[tex]6\cdot x^{2}-11\cdot x -10 \geq 0[/tex]

[tex]6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0[/tex]

Roots are found by Quadratic Formula:

[tex]r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}[/tex]

[tex]r_{1} = \frac{5}{2}[/tex] and [tex]r_{2} = -\frac{2}{3}[/tex]

Then, the factorized form of the inequation is:

[tex]6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0[/tex]

By Real Algebra, there are two condition that fulfill the inequation:

a) [tex]x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0[/tex]

[tex]x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}[/tex]

[tex]x \geq \frac{5}{2}[/tex]

b) [tex]x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0[/tex]

[tex]x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}[/tex]

[tex]x\leq -\frac{2}{3}[/tex]

The solution of the inequation [tex]6\cdot x^{2} \geq 10 + 11\cdot x[/tex] is [tex]\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)[/tex].

1. Potential Energy = mgh

h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

2. Kinetic Energy = 1/2 mv^2

m = 2K_e / (v^2) = 2.45 kg

3. U_g = mgh = (1200)(9.81)(24) = 282528 J

4. U_g = mgh = (478)(9.81)(150) = 703377 J

5. U_g = mgh = (100)(9.81)(12.5) = 12262.5 J

6. h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

7. m = U_g / (gh) = 1500 /  (9.81 * 35) = 4.37 kg

Answer:

[tex]\Large \boxed{\frac{5}{4} }[/tex]

Step-by-step explanation:

The slope - intercept form of a line is written in the form :

[tex]\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept[/tex]

The slope of the line is 5/4.

Answer:

answer is -3

Step-by-step explanation:

-6x+4+3x+3=34

-3x+7=34

-3x=34-7

-3x=27

x=27/-3

x=-3

Answer:

-8/4-21x

Step-by-step explanation:

Distribute inside the parantheses

Divide -8 and 4

Add the two terms

Simplify

Answer:

it's rational ..........

Answer:

36 fliers

Step-by-step explanation:

1/3*72 = 24 fliers posted last week (.333*72)

72-24 = 48 fliers left

1/4*48 = 12 fliers posted this week (.25*48)

48-12= 36 fliers not posted  

Linda has 36 fliers left to post.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: Linda had 72 fliers to post around town. Last week, she posted 1/3

of them. This week, she posted 1/4 of the remaining fliers.  

1st-week Linda posted 72/3=24 and remaining fliers72-24=48

2nd the week Linda posted 48/4=12 and remaining fliers 48-12=36

∴The remaining fliers left to be posted are 36

Hence, Linda has 36 fliers left to post.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

(11-1-1)(1+1)

Step-by-step explanation:

revised

Answer:

v=0.104167m/s

Step-by-step explanation:

Given:

s=43.75

t=7min

Required:

v=?

Formula:

v=s/t

t in second

Solution:

1min=60s

7min=7*60s=420s

v=s/t

v=43.75m/420s

v=0.104167m/s

Hope this helps ;) ❤❤❤

Answer:

Approximately 201 squared inches.

Step-by-step explanation:

So, the composite figure is made up of a square and a semi-circle. The square has side lengths of 12 and the semi-circle has a radius of 6.

The total area of the figure would be the area of the square plus the area of the semi-circle. Thus, find the area of each individual figure.

Square:

The area of a square is given by:

[tex]A=l^2[/tex]

Where l is the side length.

Substitute 12 for l:

[tex]A=(12)^2\\A=144\text{ in}^2[/tex]

So the square is 144 square inches.

Semi-circle:

The area of a semi-circle is given by:

[tex]A=\frac{1}{2}\pi r^2[/tex]

Substitute 6 for r and 3.14 for π:

[tex]A=\frac{1}{2}(3.14)(6)^2\\ A=56.52[/tex]

Therefore, the total area is:

[tex]TA=144+56.52\\TA=200.52\text{ in}^2\approx201\text{ in}^2[/tex]

Answer:

I got (G^B) +F-K+L= (G^B)

Step-by-step explanation:

Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

Answer:

344.1 Ib/ft²

Step-by-step explanation:

This has to do with conversion

23.0Ib/gal × 2ft

Step 1

First we convert 23.0lb/gal to Ib/ft³

1 Ib/gal = 7.48051948 Ib/ft³

23.0lb/gal = X Ib/ft³

Cross Multiply

1 Ib/gal × X Ib/ft³ = 23.0lb/gal × 7.48051948 Ib/ft³

X Ib/ft³ = 23.0lb/gal × 7.48051948 Ib/ft³/1 Ib/gal

X Ib/ft³ = 172.05194804 Ib/ft³ =

Step 2

Since 23.0lb/gal = 172.05194804 Ib/ft³

172.05194804 Ib/ft³ × 2 ft

= 344.10389608Ib/ft²

Approximately to 1 significant figure

= 344.1 Ib/ft²

9/7 (a)

(b) 1 whole 2/7 is the answer of ur question

Do parentheses first:

6 +4-2 = 8

Now do brackets:

128/8 = 16

Now multiply:

16 x 8 = 128

The answer is 128

Answer:

Step-by-step explanation:

19 - 3i - 5 + 4i

14 + i

Answer:

14.48 ft

Step-by-step explanation:

The relation between the location of the focus (c), the vertex on the major axis (a) and the vertex on the minor axis (b) with respect the center is:

b² = a² - c²

From the question:

c = 4 ft

a= 30/2 = 15 ft

Replacing into the equation:

b² = 15² - 4²

b = √209

b = 14.48 ft

So, he should build the whisper chamber at 14.48 ft out from the center along the minor axis

Answer: The answer to this questiojn is 14.48 feet, but if rounded to the nearest tenth, then it should be 14.5 (As it was on my question)

Answer:    2a - 10

Step-by-step explanation:

a represents the number of students in the art club.

The number of students in a school's math club is ten less than twice the number of students in the art club.

ten less = - 10

twice the number of students in the art club = 2*a

2a - 10 = the number of students in the math club

Answer:

The confidence interval is  [tex]13.4< \mu < 13.8[/tex]

Step-by-step explanation:

From the question we are told that

   The sample  mean is [tex]\= x = 13.6[/tex]

     The standard deviation is [tex]\sigma = 1.9[/tex]

     The sample  size is  [tex]n = 189[/tex]

given that the confidence level is  85% then the level of significance is mathematically represented as

            [tex]\alpha = (100 - 85 )\%[/tex]

            [tex]\alpha = 0.15[/tex]

Next we obtain the critical value  of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  the value  is  

      [tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]

=>     [tex]E = 0.1990[/tex]

The  85%  confidence interval is mathematically represented as  

        [tex]\= x - E < \mu <\= x + E[/tex]

=>      [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]

=>      [tex]13.4< \mu < 13.8[/tex]

Answer: false

Additive identity - the number 0; when added to any number, the value of the number does not change

( one is multiplicative identity )

Answer:

I am not totally sure but the answer might be 0.0655.