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3 years ago

The function d(x) = 1375 − 110x represents the distance (in miles) a high-speed

1 answer:

5 0

D(x) = 1375 - 110x.....where x is the hrs traveled and d(x) is the distance in miles left to travel

(a) after 8 hrs....so x = 8
d(8) = 1375 - 110(8)
d(8) = 1375 - 880
d(8) = 495...so after 8 hrs, u r 495 miles short of ur destination

(b) before reaching its destination...its destination is 1375 miles....and if u r traveling 110 miles per hr....1375/110 = 12.5....so after 12.5 hrs, u should reach ur destination.

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Please solve these 4 math equations...

vichka [17]

Answer:

1) x = 60° ; y = 70°

2) x = 50° ; y = 80°

3) x =110° ; y = 60°

4) x =60° ; y = 90°

Step-by-step explanation:

We have to find the interior angle y

= 180 - 120

= 60°

Now we have to find x

=180 - (60 + 50)

= 180 - 110

= 70°

We know that opposite angles are equal

So therfore y = 80°

x = 180 - 80 + 50

x = 180 - 130

x = 50°

According to the figure we see that x+y=180

Exterior angle = sum of two interior angle

So, x = 50 + 60

x = 110°

Now we substitute in the x value

x + y = 180

110 + y = 180

y = 180 - 110

y = 70°

Opposite angles are equal

x = 60°

The figure is a right angle triangle

So,

y =90°

7 0

3 years ago

The Versatech Corporation has decided to produce three new products. Five branch plants now have excess production capacity. The

RSB [31]

Answer: provided in the explanation segment

Step-by-step explanation:

here i will give a step by step analysis of the question;

A: Optimization Formulation

given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5

Objective function: Minimize manufacturing cost (Z)

Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33

s.t

X11 + X12 + X13 + X14 + X15 = 600

X21 + X22 + X23 + X24 + X25 = 1000

X31 + X32 + X33 = 800

X11 + X21 + X31 <= 400

X12 + X22 + X32 <= 600

X13 + X23 + X33 <= 400

X14 + X24 <= 600

X15 + X25 <= 1000

Xij >= 0 for all i,j

Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.

cheers i hope this helps!!

3 0

3 years ago

An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use s

kotegsom [21]

The ratio of the triangle is 55/1.1, which is 50/1.

This means that the building is 50/1 = x/5

x = 250

The office building is 250 m tall.

6 0

3 years ago

The 2018 Current Population Survey (CPS) estimates that 19.7% of Mississippians live in poverty, which makes Mississippi the sta

mina [271]

Answer: 0.0265

Step-by-step explanation:

Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197

Sample size : n= 250

The probability that at least 25% of them live in poverty will be

$P(\hat{p}\geq0.25)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.25-0.197}{\sqrt{\dfrac{0.25\times0.75}{250}}})\\\\=P(Z>\geq1.9353)\\\\=1-P(Z$

Hence, the required probability = 0.0265

4 0

3 years ago

The number of hamburgers sold: DayNumber Saturday72 Sunday39 Monday46 Tuesday58 How many hamburgers were sold in total?

Juli2301 [7.4K]

215 you just have to add them all up

7 0

4 years ago