A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:

The answer is 16 1/6

Step-by-step explanation:

1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6

2. add them all together 8+7=15, 4/6+3/6=7/6

3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6

Answer: 16 1/6

To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?

You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.

First mixed number is 8 1/2.

So, you'll multiply 8 by 2 then add 1.

(8 × 2) + 1 = 17

Next is 7 2/3.

Repeat this process.

(7 × 3) + 2 = 23

When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:

8 1/2 = 17/2 × 3/3

7 2/3 = 23/3 × 2/2

Multiply the LCD, which is 2 and 3 and you'll get:

LCD of 8 1/2 ⇒ 51/6

LCD of 7 2/3 ⇒ 46/6

Now we can add. (You DO NOT add the denominator).

51/6 + 46/6 = 97/6

Since 97/6 is an improper fraction, we must convert it into a whole number.

Divide 97/6 and you'll get 16 with a reminder of 1.

16 is the whole number.

1 is the numerator.

Hence, the answer is 16 1/6.

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

Answer:

98

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95

Answer:

I think the answer might be 12x⁷

Answer:

I think the answer would be A

Answer:

Jessica (23,450 stickers)

let's change the decials first off to fractions and get the slope and line

[tex]2.\underline{5}\implies \cfrac{25}{1\underline{0}}\implies \cfrac{5}{2}~\hfill 6.\underline{5}\implies \cfrac{65}{1\underline{0}}\implies \cfrac{13}{2} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{\frac{5}{2}})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{13}{2}})[/tex]

[tex]\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{13}{2}}-\stackrel{y1}{\frac{5}{2}}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{1}}}\implies \cfrac{~~ \frac{8}{2}~~}{-1}\implies \cfrac{4}{-1}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\cfrac{5}{2}}=\stackrel{m}{-4}(x-\stackrel{x_1}{1})[/tex]

[tex]y-\cfrac{5}{2}=-4x+4\implies y=-4x+4+\cfrac{5}{2}\implies y = -4x+\cfrac{13}{2}[/tex]

Answer:

C(X)=5(x-1)+7  

Step-by-step explanation:

because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

Step-by-step explanation:

I'll go to the cashier and says it's wrong cheque

Answer:

In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!

Step-by-step explanation:

Average rate = distance / time

Rewrite distance as an improper fraction":3 1/3 = 10/3

Now you have 10/3 / 1/3

When dividing by a fraction flip the second fraction over and multiply:

10/3 x 3/1 = (10 x 3) / (3/1) = 30/3 = 10

Average rate was 10 miles per hour

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

Answer:

To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128

m<1= 128

For the first one (i think)

Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.

66+84+x=180

You’d get x=30

Now we have 30 as angle 1.

angle 3 and 84 degrees are supplementary so we can just do

84+y=180 which in this case is 96 so angle 3 is 96

Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing

96+43+n=180

in this case n is angle 2 and the measure of angle 2 is 41 degrees.

Final answers:

m<1=30

m<2= 41

m<3= 96

Answer:

Step-by-step explanation:

1 = 76+52=128

=180-128

     =30

    2.    96+43=139    180-139=

    =41

     3.180-84

    =96

Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

1)

Check the 1st picture below.

the arrows at the end of the lines are stating that the lines are continuing indefinetely, or namely to infinity, the lines go to infinity upwardly as well as sideways.

3)

Check the 2nd picture below.

the graph has a hole when x = 6 for the domain, meaning it doesn't include that point, but includes any values before it down to -5 and including -5.

Answer:

The answer is D

Step-by-step explanation:

Plug in the values and see which one is correct.

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Answer:

Any point that does NOT have a positive 5 in the y position

Answer:

3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.

The value in cents of a nickels = 5a

     [] A nickle is worth 5 cents, so 5a is the value of a nickles

The value in cents of a dimes = 10a

     [] The value of a dime is 10 cents, so 10a is equal to a dimes

The value in cents of a quarters = 25a

     [] A quarter is worth 25 cents, so 25a is the value of a quarters

The value in cents of a dimes and one quarter = 10a + 25

     [] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter

The value in cents of 13 dimes =​ 130

     [] A dime is worth 10 seconds, so 13 * 10 = 130

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

B I think.

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The figure B is just one 90° rotation away from becoming A, i.e.,

If we rotate B 90° counterclockwise, we get A.

To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360

So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)

That means,

[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]

(angle of rotation is the angle which A turns about in order to line itself with B)

_________________

That makes it 270°

Answer:

False.

Step-by-step explanation:

A x b does not equal to A + b. Addition and mutiplication is different.

x=4,5,6

x=4

[tex]\\ \sf\longmapsto y=3(4)+10[/tex]

[tex]\\ \sf\longmapsto y=12+10=22[/tex]

x=5

[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]

x=6

[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]

Step-by-step explanation:

y = 3x + 10

Soo :

y = 3(4) + 10 = 12 + 10 = 22

y = 3(5) + 10 = 15 + 10 = 25

y = 3(6) + 10 = 18 + 10 = 28

Answer:

Terms are the things that are separated by a (+) or a (-).

Step-by-step explanation:

16x^3 - 4x^2 -4x+1

I don't think I'm right...