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3 years ago

Solve the system of equations. 3x + 8y = 15 2x - 8y = 10

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

The answer is (5,0) so x is 5 and 0 is y

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To help plan its nursing staff schedule, a large hospital uses simple exponential smoothing to forecast the daily number of hosp

Morgarella [4.7K]

Answer:386

Step-by-step explanation:

We have given

Smoothing parameter $\left ( \alpha \right )=0.56$

Forecasted demand $\left ( F_t\right )=385$

Actual demand $\left ( D_t\right )=386$

And Forecast is given by

$F_{t+1}=\alpha D_t+\left ( 1-\alpha \right )F_t$

$F_{t+1}=0.56\cdot 386+\left ( 1-0.56\right )385=385.56\approx 386$

$F_{t+2}=0.56\cdot 386+\left ( 1-0.56\right )385.56=385.806\approx 386$

$F_{t+3}=0.56\cdot 386+\left ( 1-0.56\right )385.806=385.914\approx 386$

$F_{t+4}=0.56\cdot 386+\left ( 1-0.56\right )385.914=385.962\approx 386$

3 0

3 years ago

Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment

Oduvanchick [21]

It would be corresponding to RG.

3 0

3 years ago

Read 2 more answers

From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 3

andriy [413]

Answer:

$\boxed {\boxed {\sf 69.28 \ feet}}$

Step-by-step explanation:

Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.

First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).

Next, recall the ratios.

sin(θ)= opposite/hypotenuse
cos(θ)= adjacent/hypotenuse
tan(θ)= opposite/adjacent

We see that the height is opposite the 30 degree angle and 120 is adjacent.

opposite=h
adjacent=120

Since we are given opposite and adjacent, we must use tangent.

$tan ({\theta)=\frac{opposite}{adjacent}$

Substitute the values in.

$tan(30)=\frac{h}{120}$

We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.

$120*tan(30)=\frac{h}{120}*120$

$120*tan(30)=h$

$120*0.5773502692=h$

$69.2820323=h$

Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.

$69.28 \approx h$

The height of the tree is about <u>69.28 feet.</u>

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3 years ago

Find the missing angle measure in isosceles triangleQRS with base angles Q and S. angleQ = ___°, angleR = 110°, angleS = ___°

viva [34]

The other two angles are 125

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3 years ago

A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in

SVETLANKA909090 [29]

She earns $17 per each suit and $4 for each pair of shoes

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4 years ago