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den301095 [7]
3 years ago
13

NEED HELP ASAP!

Mathematics
1 answer:
grigory [225]3 years ago
3 0

9514 1404 393

Answer:

  5 minutes; 60 gallons

Step-by-step explanation:

The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...

  y = 35 +5x . . . . . . where y is gallons, and x is minutes

The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...

  y = 100 -8x

We want to find the values of x and y such that both are the same for both tanks.

  35 +5x = y = 100 -8x

  13x = 65 . . . . . . . . add 8x-65 to both sides of the equation

  x = 5

  y = 100 -8·5 = 60

Both tanks will hold 60 gallons after 5 minutes.

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Tems11 [23]
The answer is 63 units, just add them up.
8 0
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Read 2 more answers
Help please (ty to the people who know this) :)
notsponge [240]

Answer:

C) 3c-5d

Step-by-step explanation:

-c+5d+7c-11d+d-3c

Group the similar terms together:

-c+7c-3c+5d-11d+d

Add/subtract the "c" variables:

3c+5d-11d+d

Add/subtract the "d" variables:

3c-5d

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3 years ago
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If cos(Θ) = -2 9 , and 90° < θ < 180°, what is the value of tan(θ)?
frosja888 [35]
We know that

if  <span>90° < θ < 180°
</span>then
θ--------------> belong to the second quadrant
so
tan θ is negative

sin² θ + cos² θ=1----------> sin² θ=1-cos² θ----->sin² θ=1-(-2/9)²
sin² θ=1-(4/81)------> 77/81----------> sin θ=√(77/81)------> √77/9
sin θ=(√77)/9

tan θ=sin θ/cos θ------> [(√77)/9]/[-2/9]-------> -√77/2

the answer is the option
<span>A) -77sqroot/2</span>
7 0
3 years ago
30 POINTS! NEED HELP ASAP
wolverine [178]
1. Answer: 15.7143

log (7x-10)=2

Use the identity: loga(x)=b = x=(a)(b)

7x-10=10^2

Evaluate the Power

7x-10=100

Addition Property of Equality

7x=110

Division Property of Equality

x=110/7 or 15.7143

2. Answer: 0.3107

log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107


3. Answer: 0.002

log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500

Answer: 0.002

Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps


8 0
4 years ago
one interior angle of a polygon is equal to 800 and each of the other interior angles are 128 degrees. Find the number of sides
KiRa [710]

Answer:

6

Step-by-step explanation:

Given information:

Interior angle of a polygon cannot be more that 180°.

One interior angle = 80^{\circ}

Other interior angles are  = 128^{\circ}

Let n be the number of sides of the polygon.​

Sum of interior angles is

Sum=80+128(n-1)

Sum=80+128n-128

Combine like terms.

Sum=128n-48           .... (1)

If a polygon have n sides then the sum of interior angles is

Sum=(n-2)180

Sum=180n-360           .... (2)

Equating (1) and (2) we get

180n-360=128n-48

Isolate variable terms.

180n-128n=360-48

52n=312

Divide both sides by 52.

n=\frac{312}{52}

n=6

Therefore the number of sides of the polygon is 6.

8 0
3 years ago
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