A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes. Which graph best represents the distance in milies of the truck from the factory after a certain
amount of time. x. in minutes?

Answer:

The answer is C,

Step-by-step explanation:

Answer:

3+(-9) = -6 because -6 is 9 units to the left of 3.

Step by step explanation:

Kelvin LOSES 9 points in the 2nd round. This implies that we have to go to the left on the number line because he loses points. The point K is at the number 3 in the number line. When we go 9 units to the left, we get 3-9 = -6.

Answer:

temperature and kinctic energy are related

Answer:

x = 2

Step-by-step explanation:

-1.5x + 33 = 30

-1.5x = 30 - 33

x = -3 / -1.5

x = 2

Answer:

the first person gave u the right answer so head on ur going to get it right. wish u well

The calculated IQR of the list of numbers is 3

From the question, we have the following parameters that can be used in our computation:

1, 2, 4, 3, 3, 8, 5, 6

Sort the above number in ascending order

So, we have

1, 2, 3, 3, 4, 5, 6, 8

Split the above numbers to 2

So, we have

1, 2, 3, 3

4, 5, 6, 8

In the above, we have

Q1 = (2 + 3)/2 = 2.5

Q3 = (5 + 6)/2 = 5.5

using the above as a guide, we have the following:

IQR = 5.5 - 2.5

Evaluate

IQR = 3

Hence, the IQR of the list of numbers is 3

Read more about IQR at

https://brainly.com/question/16353033

#SPJ1

Answer:

3 1/2

Step-by-step explanation:

7 1/4 - 3 3/4

Borrow 1 from the 7 in the form of 4/4

6 + 4/4 + 1/4 - 3 3/4

6 5/4 - 3 3/4

3 2/4

Simplify the fraction

3 1/2

Answer:

\(3 \frac{1}{2} \)

Step-by-step explanation:

\(7 \frac{1}{4} - 3 \frac{3}{4} \\ \frac{29}{4} - \frac{15}{4} \\ = \frac{14}{4} \\ = \frac{7}{2} \\ = 3.5 = 3 \frac{1}{2} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 109 years old

Step-by-step explanation:

2009-1900=109

Answer:

109years old

Step-by-step explanation:

1900

1900 to 2000 is 100 years old

2000 to 2009 is 9 years old

100+9=109

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

\(5x+2={3(x+14)\)

Now let's solve for x now

\(5x+2=3(x+14)\\\)

\(5x+2=3x+42\)

\(5x-3x=42-2\)

\(2x=40\)

\(\frac{2x}{2} =\frac{40}{2}\)

\(x=20 \\\)

Now let's find the value of KNL

\(3(x+14)\\3(20+14)\\3*34\\102\)

Hope this helps you.

Let me know if you have any other questions ;-)

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

x = 4

Step-by-step explanation:

3x + 2 = 14

→ 3x = 14 - 2

→ 3x = 12

→ x = 12/3

→ x = 4

````````````````````````

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer:

2x+12=24

first you subtract 12 from both sides

2x+12=24

-12. -12

The 12-12 should cancel itself, the rest of the equation you bring down to get

2x=12 (because 24-12=12)

Now you have 2x=12.
you then divide 2x by both sides.

2x=12

/2x=/2x

The 2x/2x cancels itself out so you then solve for 12/2x.

For this you just divide 12/2 which is 6!

x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!

hope this helps! :D

Answer:

\(X = 6\)

Step-by-step explanation:

\(2x + 12 = 14\)

     \(-12\)  \(-12\)

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

      \(\frac{2x}{2} = \frac{12}{2}\) = \(x = 6\)

1. Set the equation up.

2. isolate the x from 2x then do the opposite of 12 to -12

3. subtract from 14

4. make proportion.

5. divide both sides.

6. \(Answer= x=6\)

hope this helped :) have a great night.

Answer:

Vivek has Rs. 150

Step-by-step explanation:

Amount of Money Vivek has = x

Irfan = 7x

Irfan = 900 + x

Set Irfan's equations equal to one another:

7x = 900 + x

=> 6x + x = 900 + x (Now you can subtract x from both sides)

=> 6x = 900

=> x = 900/6 (Divide both sides by 6 to isolate x)

=> x = 150

Irfan has Rs. 1050 (7 x 150 = 1050)

Since Vivek's money is x, Vivek has Rs. 150

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

a) \(P(X = n) = (0.85)^{n}\)

b) \(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)

c)

\(P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)\)

For each value, we use

\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)

d) If \(x > E(X) + \sqrt{V(X)}\), yes, otherwise no

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

A measure is said to unusual if it is more than 2.5 standard deviations from the mean.

85% of recent flights have arrived on time.

This means that \(p = 0.85\)

(a) Find the probability that all of the flights were on time.

This is \(P(X = n)\), in which n is the size of the sample studied.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}\)

\(P(X = n) = (0.85)^{n}\)

(b) Find the probability that exactly x of the flights were on time.

Exactly x of the flights: So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)

(c) Find the probability that x or more of the flights were on time.

This is

\(P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)\)

For each value, we use

\(P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}\)

(d) Would it be unusual for x or more of the flights to be on time?

If \(x > E(X) + \sqrt{V(X)}\), yes, otherwise no

Answer:

Step-by-step explanation:

Check the diagram in the attachment. Using sin rule to get the length of i.

According to the rule \(\frac{g}{sinG} = \frac{h}{sinH} = \frac{i}{sinI}\\\)

Given h = 300 inches, ∠G=30° and ∠H=29°; we can use the relationship below to get length of i;

\(\frac{h}{sinH} = \frac{i}{sinI}\\\)... 1

Since sum of angle in a triangle is 180°, then ∠G+∠H+∠I = 180°

30°+29°+∠I = 180°

∠I = 180°-(30°+29°)

∠I = 180°-59°

∠I = 121°

Applying equation 1;

\(\frac{300}{sin29^{0} } = \frac{i}{sin121^{0} }\\\\300sin121^{0} = iSin29^{0}\\ i = \frac{300sin121^{0}}{Sin29^{0}} \\i = \frac{257.15}{0.4848} \\i = 530.425inches\\\)

i ≈ 530 inches (to the nearest inch)

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

Answer:

\(y1 = 4 \\ x1 = 3\)

\(y - y1 = m(x - x1)\)

\(y - 4 = 0(x - 3)\)

\(y - 4 = 0\)

\(y = 4\)

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

To learn more about Parallel line visit:

https://brainly.com/question/17432060

#SPJ9

Answer:

Step-by-step explanation:

Answer:

(-84 - 51p)/(d + p)

Hope it helped

Answer:

1.) y=-2x+4

2.) y=1x-1

Step-by-step explanation yw

Answer:

16;20

Step-by-step explanation;

you can both multiply by 4

4 x 4 = 16 and 5 x 4 = 20.

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-2))/(3-13)

m=(-2+2)/-10

m=0/-10

m=0

Answer:

50,000   fifty-thousand

Step-by-step explanation:

Just use a calculator

Answer:

\(x = \frac{1}{2} \)

The step by step explanation is attached to the answer.

hope this helps

brainliest appreciated

good luck! have a nice day!

Area of base 6π in² has the greatest surface area.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

3 cylinders have same length of height.

We know that;

Largest the radius of base of cone has largest surface area of cylinder.

Hence, By all option;

⇒ Area of base 6π in² has the greatest surface area.

Thus, Area of base 6π in² has the greatest surface area.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

A) The probability of the event that the block is cracked is; 0.025

The probability of the event that the block is discolored is; 0.045.

B) The probability of the event that the block is both cracked and discolored is; 0.025

C) The probability of the event that the block is cracked but not discolored is; 0.06178

We are given;

15 stones were cracked

27 stones were discolored

562 stones were neither cracked nor discolored

Total number of stones =600.

A) Find the probability that it is cracked, discolored or both;

Favorable condition for one is cracked = 15

Thus;

P(crack) = 15/600

P(crack) = 0.025

Favorable condition for discolored = 27

P(discolored) = 27/600

P(discolored) = 0.045

B) Favorable condition for both crack and discolored = 15

P(crack & discolored) = 15/600

P(crack & discolored) = 0.025

C) Favorable condition for cracked but not discolored means that the total number of stones will be 573. Thus;

P(cracked, not discolored) = 15/573

P(cracked, not discolored) = 0.06178

Read more about probability at; https://brainly.com/question/24756209

#SPJ1

Answer:

-8i + 51

Step-by-step explanation:

(3+5i)(2-9i)

6+10i-18i-45i²

**i² = -1.

6-8i + -45(-1)

= -8i + 51

From the triangle CDF, we can see that it is an isosceles triangle.