the table below represents a linear function f(x) and the equation represents a function g (x)

part a: write a sentence to compare thw slope of thw two functions and show thw steps you used to determine the slope of f(x) and g(x).

part b: which function has a greater y-intercwpt? justify your answer ​

Answer:

The answer is "1035.76 miles"

Explanation:

The aircraft flies at 120 mph for 1.5 hours at a [tex]10^{\circ}[/tex] bearing, then flies at the very same speed at [tex]100^{\circ}[/tex] bearings for 8.5 hours.

However an angle of [tex]100-10 = 90^{\circ}[/tex] between displacements

First shifts[tex]= 1.5 \times 120 = 180\ miles.[/tex]

Second shift [tex]= 8.5\times 120 = 1020\ miles.[/tex]

These two shifts are at [tex]90^{\circ}[/tex] and therefore the final shift is:

[tex]\to \sqrt{180^2+1020^2}=1035.76 \ miles[/tex]

Answer:

distance = 11

Step-by-step explanation:

distance = [tex]\sqrt{[3-(-8)]^{2} +(4-4)^{2}}[/tex]

             = [tex]\sqrt{11^{2} }[/tex]

             = 11

Answer:

6

Step-by-step explanation:

From the Trapezoid attached :

EF = GT

FG = LA

LE = AT = 10

LA = 24 ; FG = 24

FG + EF + GT = 40

Let : EF and GT = x

FG + 2x = 40

24 + 2x = 40

2x = 40 - 24

2x = 16

x = 16 ÷ 2 = 8

Hence, EF = GT = 8

Using Pythagoras :

Opposite² = hypotenus² - Adjacent²

LF² = LE² - FE²

LF² = 10² - 8²

LF² = 100 - 64

LF² = 36

LF = √36

LF = 6

Answer:

[tex]41\text{ [units squared]}[/tex]

Step-by-step explanation:

The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.

The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:

Formulas:

Area of triangles:

All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.

Thus, the total area of one is [tex]A=\frac{1}{2}\cdot 2\cdot 2=2\text{ square units}[/tex]

The area of all four is then [tex]2\cdot 4=8[/tex] units squared.

Area of rectangles:

The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of [tex]3\cdot 2=6[/tex] units squared, and the both of them have a total area of [tex]6\cdot 2=12[/tex] units squared.

The last rectangle has a width of 7 and a height of 3 for a total area of [tex]7\cdot 3=21[/tex] units squared.

Therefore, the area of the entire octagon is [tex]8+12+21=\boxed{41\text{ [units squared]}}[/tex]

The null hypothesis is [tex]\mu = 39.09[/tex]  

The symbol [tex]\mu[/tex] is the Greek letter mu

The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

----------------------

Summary:

The two hypotheses are

H0: [tex]\mu = 39.09[/tex]

H1: [tex]\mu \ne 39.09[/tex]

This is a two tailed test.

Answer:

34n=306

Step-by-step explanation:

Use inverse operation to find it, 306÷34= 9, check again 34(9)=306, so it's correct!

9514 1404 393

Answer:

  90 minutes

Step-by-step explanation:

Assuming the time is proportional to the number of pages, you have ...

  time/pages = 20/6 = T/27

Multiplying by 27 gives ...

  T = 27(20/6) = 90

It is expected to take 90 minutes to check 27 pages.

Answer:

See edit

A 20 km / hour

Step-by-step explanation:

The exact answer is 30 km / 172 which is less than 1 km / hr. Since that answer isn't offered, I suspect there is something wrong with the question. If there is a decimal after the 1 in 172 you would get 17.44 km / hr. That's roughly A.

If the decimal is not there, I think you should either resubmit the question or answer A.

Edit

The note said (below) that the ship went 30 km in 1 1/2 hours.

Rate = distance / time

distance = 30 km

time = 1 1/2 hours = 1.5 hours

rate = 30 / 1.5 = 20 km / hr

Answer:

False

Step-by-step explanation:

The analysis of variance may be described as an hypothesis test which is used to make comparison between variables of two or more independent groups. The null hypothesis is always of the notion that there is no difference in the means. While the alternative hypothesis is the opposite, for two independent groups, the alternative hypothesis is that both means are different, or not equal or not the same. However. When we have more than 2 independent groups, then the alternative hypothesis is stated as : 'the means are not all equal'. This means that the means of each group does not all have to be different, but the mean of one group may be different from that of the other groups or the mean of two groups are different from the other groups and so on.

Answer:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

Step-by-step explanation:

L  numbers of hours assigned to Lisa

D numbers of hours assigned to David

S numbers of hours assigned to Sara

Objective Function to minimize:

z = 30*L  +  25*D  +  18*S

Constraints:

Total time available

L  +  D  +  S  ≤ 110

Lisa experience

L  ≥  0.4 *  ( L + D )  then    L ≥ 0.4*L  +  0.4*D

0.6*L - 0.4*D ≥ 0

To provide designing experience to Sara

S ≥ 0.15*110        then     S ≥ 16.5

Time for Sara

S  ≤ 0.25 * ( L + D )     S ≤ 0.25*L  +  0.25*D   or    -0.25*L - 0.25*D + S ≤0

Availability of Lisa

L ≤ 50

The Model is:

z = 30*L  +  25*D  +  18*S  to minimize

Subject to:

L  +  D  +  S  ≤ 110

0.6*L - 0.4*D ≥ 0

S ≥  16.5

-0.25*L - 0.25*D + S ≤0

L ≤ 50

L ≥   0  ;   D  ≥  0  , S  ≥  0

After  6  iterations  optimal ( minimum ) solution is:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is z = 30L + 25D + 18S and the minimum z is 2079.

Given :

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is given by:

z = 30L + 25D + 18S

The constraints are given by:

1) L + D + S [tex]\leq[/tex] 110

2) L [tex]\geq[/tex] 0.4(L + D)  

   L [tex]\geq[/tex] 0.4L + 0.4D

   0.6L - 0.4D [tex]\geq[/tex] 0

3) S [tex]\geq[/tex] 0.15(110)

   S [tex]\geq[/tex] 16.5

Now, to minimize 'z' then use:

[tex]\rm -0.25L-0.25D+S\leq 0[/tex]

L [tex]\leq[/tex] 50

L [tex]\geq[/tex] 0, D [tex]\geq[/tex] 0, S [tex]\geq[/tex] 0

Now, the minimum z is given by:

z = 2079

L = 26,  D = 39.6,  S = 16.5

For more information, refer to the link given below:

https://brainly.com/question/23017717

Answer:

[tex]Pr = 0.153[/tex]

Step-by-step explanation:

Given

[tex]p = 15.3\%[/tex]

Required

Probability of alarm not working

[tex]p = 15.3\%[/tex] implies that the alarm has a probability of not working on a given day.

So, the probability that the alarm will not work on an exam date is:

[tex]Pr = 15.3\%[/tex]

Express as decimal

[tex]Pr = 0.153[/tex]

Answer:

Remember that for an event with a percentage probability X, the probability is given by:

P = X/100%

a) What is the probability that the next customer will request plus gas and fill their tank ?

We know that 35% of the customers use plus gas, and of these using plus, 20% fill their tank.

So the probability that the next customer uses plus gas is:

p = 35%/100% = 0.35

And the probability that the customer fills the tank (given that the customer uses plus gas) is:

q = 20%/100% = 0.2

The joint probability is just the product between the individual probabilities:

Then the probability that the next customer uses plus gas and fills their tank is:

P = 0.35*0.2 = 0.07

b) What is the probability that the next customer fills the tank?

We know that 20% of the ones that use plus gas (with a probability of  0.35) fill their tank, 10% of these that use regular gas (with a probability of 0.4) and 30% of these that use premium (with a probability of 0.25) fill their tank,

Then the probability is computed in a similar way than above, here the probability is:

P = 0.2*0.35 + 0.1*0.4 + 0.3*0.25 = 0.185

The probability that the next customer fills the tank is 0.185

c)  If the next customer fills the tank, what is the probability that the regular gas is requested?

Ok, now we already know that the customer fills the tank.

The probability that a customer uses regular and fills the tank, is

p = 0.1*0.4

The probability that a customer fills the tank is computed above, this is:

P = 0.185

The probability, given that the customer fills the tank, the customer uses regular gas, is equal to the quotient between the probability that the customer fills the tank with regular and the probability that the customer fills the tank, this is:

Probability = p/P = (0.1*0.4)/(0.185) = 0.216

Answer:

24% or 0.24

Step-by-step explanation:

100% or 1 minus 76% or 0.76. That makes 24% or 0.24.

To answer the question you should prob just put in 0.24.

Answer:

measurement m<GEM+m<MEO=m<GEO

Answer:

[tex]{ \tt{y = \frac{2 {x}^{2} + 5x + 2}{ {x}^{2} - 4x + 3 } }} \\ x - intercept : y = 0 \\ { \tt{ \frac{2 {x}^{2} + 5x + 2 }{ {x}^{2} - 4x + 3 } = 0 }} \\ \\ { \tt{2 {x}^{2} + 5x + 2 = 0}} \\ x = \frac{1}{2} \: \: and \: \: x = - 2[/tex]

jvdhvfggvvvbbbbbbbbb

Answer:  13.2

In fraction form, this is 66/5

=============================================================

Explanation:

The five values are in the ratio 1:2:3:4:5 which scales up to 1x:2x:3x:4x:5x for some positive number x.

Add up the pieces of the second ratio and set that sum equal to 198. Then solve for x.

1x+2x+3x+4x+5x = 198

15x = 198

x = 198/15

x = 66/5

x = 13.2 is the smallest number since 1x = 1*13.2 = 13.2 was the smallest value of the ratio 1x:2x:3x:4x:5x.

Answer:

yes

Step-by-step explanation:

but I can't see them here

Answer:

(5 7 11 12 13 14)

Step-by-step explanation:

Q inter R = 7 and 11

So the union between p and 7 and 11 is the answer above

Answer:

The correct answer is B.

Step-by-step explanation:

Since a jar contains 4 pieces of gum, 7 pieces of candy, and 3 pieces of mint, and each time you draw out an item, you record the outcome and put the item back in the jar before making another draw, to determine what is the probability that you get exactly the sequence candy-mint-candy, in that order, the following calculation should be performed:

4 + 7 + 3 = 14

7/14 x 3/14 x 7/14 = X

0.5 x 0.2142 x 0.5 = X

0.053 = X

Therefore, the probability that the chosen sequence will be obtained is 0.0530, or 5.3%.

all students = 150

M = 60

S = 45

M and S = 25

(a) At least one of the two requirements:

M or S = M + S - (M and S) = 60 + 45 - 25 = 80

(b) Exactly one of the two requirements:

(M or S) - (M and S) = 80 - 25 = 55

(c) Neither requirement:

(all students) - (M or S) = 150 - 80 = 70

Answer:

multiplier = 6

marginal propensity to consume = .83

Step-by-step explanation:

/ means divided by

1 .

300,000,000 / 50,000,000 =

multiplier =

6

2.

300,000,000 - 50,000,000 =

250,000,000

250,000,000/300,000,000 =

marginal propensity to consume =

0.83333333333

or

.83

quizlet

marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income

investopedia

Answer:

2 days

Step-by-step explanation:

Lets say that in one day, one cow eats 1 block of grass. So, six cows in three days would eat 18 blocks of grass in total. So 18 blocks of grass is how much we have. that means nine cows would eat that much in 2 days.

Answer:

[tex]{ \bf{c). \: g(x) = {(x - 3)}^{2} }}[/tex]