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2 years ago

Someone help me please:)

Mathematics

1 answer:

IRISSAK [1]2 years ago

6 0

Im not that good with these types of problems but i think it is b if my math is correct.

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What is the solution of the following system of linear equations?<br> y = x - 7<br> 2y + x=1

andrew-mc [135]

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

5 0

2 years ago

What value does the 1 represent in the number 4105.8

densk [106]

Answer:

the hundreds place

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist

sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0

2 years ago

Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

amm1812

$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$\implies f(x,y,z)=3xy^2z^3+C$

The potential function exists, so $\mathbf f$ is indeed conservative.

7 0

3 years ago

Heart beats 2,320 times during 20 minutes of rowing. While resting the heart is beating 16 times in 15 seconds. What is the diff

Mrac [35]

Answer: 0.87 times per second (Or 52.2 times per minute)

Step-by-step explanation:

You need to make the conversion from minutes to seconds.

Remember that 1 minute has 60 seconds. Then 20 minutes to seconds is:

$(20minutes)(\frac{60seconds}{1minute})=1,200seconds$