Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already
gone while asleep. How much of the entire trip home was Samuel asleep?

Answer:

7.1

Step-by-step explanation:

Using the distance formula

d = sqrt (  (x2-x1)^2 + ( y2-y1)^2)

    sqrt (  (-5-2)^2 + ( -3- -2)^2)

    sqrt(   ( -7)^2  + ( -3 +2)^2)

   sqrt(   ( 49  + 1)

   sqrt( 50)

  7.071067812

To the nearest tenth

7.1

Answer:

7.1 units

Step-by-step explanation:

We can use the distance formula to find the distance between these two points.

The distance formula is:

[tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].

x1 is 2, x2 is -5, y1 is -2, and y2 is -3, so we can plug these values into the equation.

[tex]\sqrt {\left( {2 - (-5) } \right)^2 + \left( {-2 - (-3) } \right)^2 }\\\\\sqrt {7^2 + 1^2}\\\\\sqrt{49+1}\\\\\sqrt{50}\approx7.1[/tex]

Hope this helped!

Answer:

$149.96

Step-by-step explanation:

99.99+12.99+36.98=149.96

Total=$149.96

Answer:

[tex] Volume_{Prism} = 165 ft^3 [/tex]

Step-by-step explanation:

Volume of triangular prism is given as base area * height of prism

Base area = area of triangle = ½*base of the traingle*height of the traingle

Base area = 5 ft * 6 ft = 30 ft²

Height of prism = 11 ft

Volume of the prism = [tex] \frac{1}{2}*30*11 [/tex]

[tex] Volume_{Prism} = 15*11 [/tex]

[tex] Volume_{Prism} = 165 ft^3 [/tex]

Please find attached

Answer:

equation : 2x+9-5y=0

Step-by-step explanation:

x and y cut axes at -4.5 and 1.4 respectively

given

when x=0

9-5y=0

y=1.4

When y=0

2x+9=0

x=-4.5

Answer:

531

Start off by subtracting.

Joe = 987 marbles

Donald = 456 marbles.

987 - 456 = 531.

So that is your answer. Hope it helps!

Answer:

agree with previos answer

Step-by-step explanation:

Answer:

82.4

Step-by-step explanation:

Answer:

54,795

Step-by-step explanation:

Answer: W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L.

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

Answer:

Proved

Step-by-step explanation:

Given

Integers: a, b, c

Required

Show that c is a multiple of a⁶

First, we need to list out the multiples of a³

[tex]a^3 -> a^3, a^6, a^9, a^{12}...[/tex]

Since b is a multiple of a³, then b can be any of the listed multiples

Next, is to list out the multiples of b²

[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]

Since c is a multiple of b², then c can be any of the listed multiples

To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a

Substitute a³ for b in

[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]

[tex](a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....[/tex]

[tex]a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....[/tex]

Recall that c is a multiple of b²

From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶

Yes C should be multiple of [tex]a^6[/tex]

Since it is mentioned that b should be the multiple of [tex]a^3[/tex]

So,

[tex]b = a^3R[/tex] here some integer should be R

And, the c should be multiple of [tex]b^2[/tex]

So,

[tex]C = b^2 r[/tex] for some integer r

Now we have to substitute the value of b from the first equation

i.e.

[tex]C = (a^3R)^2r = a^6 (R^2r)[/tex]

Here [tex]R^2r[/tex] is some integer

so,

[tex]C = a^6R'[/tex]

Therefore, we can say that Yes C should be multiple of [tex]a^6[/tex]

Learn more about multiple here: https://brainly.com/question/24146205

Answer:

the calculated value of R would be incorrect and it would be greater than the actual value

Step-by-step explanation:

From the general gas equation,

We have a mole of gas as

PV =nRT

We will have to make R the subject of the formula

So we divide through by nT

R = PV/nT

So we have an inverse proportion between R and absolute temperature.

So when we record a lower temperature than what the actual temperature should be, R is going to be affected such that the wrongly calculated value of R would be more than the actual value.

Answer:

If you are on Khan Academy doing this, then the answer is 80/100 X 20

Step-by-step explanation:

If the mass of object is 808080 grams and acceleration is 202020 meter per seconds square then the force will be 1632483216 kg [tex]m^{2}[/tex].

A force is an effect that can change the motion of an object. A force can change the position of an object.

Force=mass*acceleration

We have been given mass of the object=808080 grams and acceleration =202020 meters per second.

We have to calculate force in kg per meters square so firstly we have to change mass which is in grams into kilogram=808080/1000=808.080 kg

Force =808.080*202020

=163248321

Force=163248321 kg [tex]m^{2}[/tex]

Hence is mass is 808080 grams and acceleration is 202020 meters per second then force will be 163248321 kg meters square.

Learn more about force at https://brainly.com/question/12970081

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Answer:

393.5$

Step-by-step explanation:

$18,000 -- car price

Total sum (105%) = [tex]\frac{18000}{100}[/tex]* 105%

Hence

[tex]\frac{18000/100*105}{48}[/tex] = 393.5$

Answer:

B) C=3.14(2r)

Step-by-step explanation:

Circumference of a circle= 2πr

radius=6 feet

Diameter= 2r

=2*6

=12 feet

π= 3.14

C= 2πr

= 2 * 3.14 * r

= 3.14 * 2 * r

C= 3.14 (2r)

Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle

Option B is the correct answer

C= 3.14 (2r)

= 3.14 * 2 * 6

= 37.68 eet

Number of raisins in the bag is 160 raisins

Given that;

Ratio of peanuts to raisins = 5:4

Bag of the snack mix contains = 200 peanuts

Find:

Number of raisins in the bag

Computation:

Number of raisins in the bag = 4[200/5]

Number of raisins in the bag = 4[40]

Number of raisins in the bag = 160 raisins

Learn more:

https://brainly.com/question/1383782?referrer=searchResults

Answer:

P(E)=1/2

Step-by-step explanation:

Total numbers=6

Numbers greater than or equal to 4= 3(4,5,6)

P(E)= favourable outcomes/total outcomes

P(E)=3/6

     =1/2

Answer:

4/6

Step-by-step explanation:

probability of rolling a num greater than or equal to 4 = 4/6

=2/3

Answer:

Use a graphing calc.

Step-by-step explanation:

If graphing by hand, use the vertex as one of the main points and then find other points by plugging in x-values.

Answer:

See be'ow

Step-by-step explanation:

We can use a graphing calculator to plot the points of the parabola.

See the attached file!

Step-by-step explanation:

10 is less than 10.01

10.01-10=0.01

10 is 0.01 less than 10.01

So, 10 is less than 10.01.

Hope it helps you!!

Answer:

a democracy

I hope this helps!

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

For K = 5.3, the line segments are parallel.

We have endpoints of segment MN have coordinates (0, 0), (5, 1) and  endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).

We have to determine the value of k that makes these segments parallel.

For lines to be parallel - slope of line 1 should be equal to slope of line 2.

m(1) = m(2)

According to question, we have -

Coordinates of M = (0, 0)

Coordinates of N = (5, 1)

Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5

Coordinates of A = (11/2, 21/4)

Coordinates of B = (-21/4, k)

Therefore, the slope of line AB =

[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex]  =  [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex]  =  [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex]  = 4k -21

Now, for the lines to be parallel -

m(MN) = M(AB)

4k - 21 = [tex]\frac{1}{5}[/tex]

5(4k - 21) = 1

20k - 105 = 1

20k = 106

k = 5.3

Hence, for K = 5.3, the line segments are parallel.

To solve more questions on parallel lines, visit the link below -

https://brainly.com/question/13311065

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Answer:

x=2.2 this is nice question

Answer:

111 ft

Step-by-step explanation:

52 x 2 then just add 7

His score would have to be -5:

-3 + 3 = 0

0 + 1 = 1

1 + 4 = 5

5 + (-5) = 0

So you know that the su of all the scores is 0.

The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.

if we sum those, we have : 3 - 3 + 4 + 1 + x = 0

and we get 5 + x = 0

then x= -5, so travis's score is -5 points.

Answer:

16

Step-by-step explanation:

Take the total number of sandwiches and multiply the fraction that were ham

56 * 2/7

56/7 *2

8 *2

16

16 sandwiches were ham

Answer: Choice A) 9

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

Explanation:

We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).

When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides

[tex]\frac{r}{3} + 5 \le 8\\\\\frac{r}{3} + 5-5 \le 8-5\\\\\frac{r}{3} \le 3\\\\[/tex]

Then we undo the division happening to r. So we multiply both sides by 3

[tex]\frac{r}{3} \le 3\\\\3*\frac{r}{3} \le 3*3\\\\r \le 9\\\\[/tex]

Since r is less than or equal to 9, this means that r could be 9 or smaller

Only choice A applies.

Answer:

180

Step-by-step explanation: 60+60 =120 120+6

Answer:

[See Below]

Step-by-step explanation:

Here are some pictures to help you.

The quadratic formula is shown below.

The beauty of the quadratic formula is that as long as your quadraticis in the form ax² + bx + c = 0, where a, b, and c are integers, you can go straight to the answer by simply plugging your values for a, b, and c into the quadratic formula.

It's a good idea to memorize it.

Believe me it's worth it, you'll be using it all the time.

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

The value of 'c' is -4 and this can be determined by using the concept of continuous function and arithmetic operations.

Given :

f(x) is continuous on the entire real line when c f(x) = x + 3 for [tex]x \leq -1[/tex], 2x - c for x > -1.

Remember for a continuous function, the left-hand limit is equal to the right-hand limit. So, determine the left-hand and right-hand limit.

The left-hand limit is calculated as:

f(-1) = (-1) + 3

f(-1) = 2    --- (1)

The right-hand limit is calculated as:

f(-1) = 2(-1) - c

f(-1) = -2 - c   --- (2)

Now, equate both the expression (1) and (2).

2 = -2 - c

c = -4

For more information, refer to the link given below:

https://brainly.com/question/1111011

Answer:

m = -2

Step-by-step explanation:

For this problem, we will simply solve the equation for m.

19 - 5 ( 2m - 3 ) + 9m = 36

19 - 10m + 15 + 9m = 36

34 - m = 36

-m = 2

m = -2

Hence, for this equation to be true, m must equal negative 2.

Cheers.

Don't shade the part A and the part between A and B. Shade the B part only.