Find the measure of angle B and angle C.

Answer:

618

Step-by-step explanation:

They are added

Answer:

240 + 378 = 618

Step-by-step explanation:

an easy way to add big numbers s to break it up into smaller pieces.

Example:   240+378 = (200 + 300 = 500) + (40 + 70 = 110) + (0 + 8 = 8) = 618

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

amount invested + 700 = 8400

Subtract 700 from both sides.

amount invested = 7700

Answer: $7700

Answer:

The answer is A

Step-by-step explanation:

5m=505m=505,m equal, 50

Answer: infinitely many solutions

Step-by-step explanation:

3x + 4y = -5 ... 1

6x + 8y = -10 ... 2

Take the second equation and divide by 2

3x + 4y = -10

As you can see, the two equations are exactly the same

So they have infinite solutions

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°

Answer:

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Step-by-step explanation:

Given - A particle moves along a horizontal line so that its position at time t,

t ≥ 0, is given by  s(t) = 40 + te^−t/20.

To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.

Proof -

Velocity, v(t)  = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]

Now,

[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] =  [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]

                       = 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]

                       = [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

Now,

For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]

Now,

[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]

           = [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]

Now,

Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get

[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]

⇒t = 40

Now,

Check that the point is minimum or maximum

Calculate  [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]

Now,

[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]

            = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]

⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]  = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]  > 0

∴ we get

t = 40 is point of minimum

So,

The minimum velocity be

v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]

      = [tex]-2e^{-2 } + e^{-2 }[/tex]

      = [tex]-e^{-2 }[/tex]

⇒v(40) = [tex]-e^{-2 }[/tex] units

∴ we get

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Answer:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

to make it into 5%, multiply 1.5 by 20

1.5 x 20 = 30

5% of 30 gallons is 1.5 since 10% of 30 is 3.

Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.

I hope this helps thanks

Answer:

What is the amount of juice in the original solution? a =

✔ 1.5

What is the original amount of solution in gallons? b =

✔ 10

How much juice is added? c =

✔ 0

How much total solution is added? d =

✔ x

Step-by-step explanation:

Answer: omg you are me

Step-by-step explanation:

Answer:

1. WX = WY;WV =WZ

2. substitution property

3. SAS similarity theorem

Step-by-step explanation:

Complete steps of the proof are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle WXY is isosceles with legs WX and WY

And, Triangle WVZ is isosceles with legs WV and WZ.

Now, For the proof of the ΔWXY – ΔWVZ;

The complete sentence of the table are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

Thus, Complete steps of the proof are,

4) WX = WY

6) By definition of congruency, Put WZ = WV

9) By SAS congruency.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

73373773737477374747373738

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference in the x values

Answer:

2.1

Step-by-step explanation:

33/16=2.06=2.1

Answer:

Its A

Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

y= -3x + 7

Answer:

Focal length

Step-by-step explanation:

Not sure tbh

Answer:

40 players

Step-by-step explanation:

Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players

Answer:

40 players

Step-by-step explanation:

32x0.25=8

32+8=40

Answer:

34/15

Step-by-step explanation:

15/9 + 9/15 = 34/15

Answer:

2 4/15 or 2.27 (rounded up)

Step-by-step explanation:

15/9 + 9/15

75/45 + 27/45

102/45

2 12/45

2 4/15

Answer: its B) 63

Step-by-step explanation:

On edge 2021

Answer:

D. Triangles A and C

Step-by-step explanation:

We can see whether the figures are congruent or not by checking out the similarity ratio

For triangle A and C the side lengths and angle measures are proportional so we can say that these two angles are congruent.

Answer:25

Step-by-step explanation:

Answer:

78.5/250 = 31.4%

Step-by-step explanation:

divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)

☁️ Answer ☁️

Inequality Form:

b < −2

❤️

Interval Notation:

(− ∞, −2)

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣

Answer:

b < -2

Step-by-step explanation:

-3 (4b + 7) > 3

-12b -21 > 3

-12b > 3 + 21

-12b > 24

b < 24/-12

b < -2

Answer:

x=-9/7

Step-by-step explanation:

Answer:-12(x - 3) - (2x - 6) = 60

= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF

Step-by-step explanation:

EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN

Answer:

It's 15.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Plug in m = 3 & n = 2 into the equation.

7(3) - 3(2)

21 - 6

15

Hope this helps & have a great rest of your day!

Answer:

40 choices of combinations can be made.

Step-by-step explanation:

Given that Brian wants to buy a shirt, and he can choose an XL, L, M, S, or XS long-sleeve or short-sleeve in white, black, pink, or blue, to determine how many choices of combinations does he have, the following calculation must be performed:

XL + L + M + S + XS = 5

LS + SS = 2

W + B + P + B = 4

5 x 2 x 4 = X

10 x 4 = X

40 = X

Thus, 40 choices of combinations can be made.

Answer:

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

14 account majors from a set of 29 students.

Then, 6 history majors from a set of 29 - 1 = 28 students.

So

[tex]p = \frac{14}{29}*\frac{6}{28} = \frac{14*6}{29*28} = 0.1034[/tex]

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

Answer:

Step-by-step explanation:

Answer:

comparing both equations

-2x-1=3x+4

or, -1-4 =3x+2x

or, -5=5x

or, X= -1

Y= -2x-1

or, Y= -2(-1)-1

or, Y=1

hence, ( -1,1)