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photoshop1234 [79]
2 years ago
8

Solve for c:2/3 cy + 8m = 2f​

Mathematics
2 answers:
nekit [7.7K]2 years ago
8 0

Answer: c = 3 f y − 12 m y

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

algol132 years ago
7 0

Answer: c  =  3 /f y  −  12/ m y

Step-by-step explanation:

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Ms. Hamby gave a quiz. Two students’ work and the answer key are shown. Ms. Hamby accepts equivalent answers in any form.
Luden [163]

Answer:

Student A and Student B both answered 2 questions correctly.

See explanation below

Step-by-step explanation:

Note: that answers in the form:

\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}

ARE ALL EQUIVALENT.

First of all, 4/5 is equivalent to 0.8 if we do long division.

and 19/20 is 0.95 if we do long division.

Now, <u>Student A:</u>

Both of the fractions are correct and the negative sign is equivalent and makes the answer correct, so both are correct.

For <u>Student B:</u>

Similarly, both answers are correct for this student as well, looking at the equivalence we showed first.

Also, "-" (negative) in front of the parenthesis and inside parenthesis here doesn't matter.

Hence,

Student A and Student B both answered 2 questions correctly.

5 0
2 years ago
A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into t
Svet_ta [14]

Answer:

F_w=9408\ N

Weight of the truck=9408 N

Step-by-step explanation:

Boat is experiencing the buoyant force as it is in the water and is sinking

According to the force balance in y direction. As both is floating, two forces balance each other:

F_b-F_w=0

where:

F_b is the buoyant force

F_w is the weight=mg

F_b=F_w        Eq (1)

Buoyant force is equal to the mass of water displaced * gravitational acceleration.

F_b=m_{water\ displaced}*g\\F_b=\rho Vg\\

Taking density of water to be 1000 Kg/m^3

F_b=1000*(6*4*4*10^{-2})*9.8\\F_b=9408 N

From Eq(1):

F_w=9408\ N

Weight of the truck=9408 N

6 0
2 years ago
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects
Ostrovityanka [42]
I don’t think you wrote it correct but anyway I think the answer to your question is statement number 1
5 0
2 years ago
Read 2 more answers
The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of
Degger [83]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: height of seaweed.

X~N(μ;σ²)

μ= 10 cm

σ= 2 cm

You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

P(X≤x)= 0.30

P(X≥x)= 0.70

Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.

P(Z≤z)= 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

z= -0.52

Now you have to clear the value of X:

Z= (X-μ)/σ

Z*σ= X-μ

X= (Z*σ)+μ

X= (-0.52*2)+10= 8.96

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm

I hope this helps!

7 0
2 years ago
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.3t^4 + 1100 where t is the time
Montano1993 [528]
The maximum occurs when the derivative of the function is equal to zero.
P(t)=-0.3t^{4}+130t+1100 \\ P'(t)=-1.2t^{3}+130 \\ 0=-1.2t^{3}+130 \\ 1.2t^{3}=130 \\ t^{3}= \frac{325}{3}  \\ t=4.76702
Then evaluate the function for that time to find the maximum population.
P(t)=-0.3t^{4}+130t \\ P(4.76702)=-0.3*4.76702^{4}+130*4.76702+1100 \\ P(4.76702)=1564.79201
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
7 0
2 years ago
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