A and B are two cities.

a) Measure the bearing of B from A.
b) Measure the bearing of A from B.

Answer:

174.23 lower p/month

Step-by-step explanation:

7 yr car loan = 38000 x 1.0432^7 =51092.4402043 =$51092.44 total pay back

51092.4402043/84=608.243335765 =$608.24

5 yr car loan = 38000 x 1.0432^5=46948.4748551 =$46948.48 total pay back

46948.4748551/60 =782.474580918 = 782.48 p/month

Amount difference

782.474580918-608.243335765 =174.231245153 =$174.23

For 7 year car loan, the monthly payment will be $180.96 lower as compare to 5 year car loan.

The simple interest is computed as,

                   [tex]A=\frac{P*R*T}{100}[/tex]

Where P is principle, R is rate and T is time.

Given that, cost of car [tex]P=38000,R=4.32,T=5years[/tex]

Substitute values in above equation.

           [tex]A=\frac{38000*4.32*5}{100} =8208[/tex]

The amount paid in 5 years[tex]=38000+8208=46208[/tex]

Amount paid per month is, [tex]=\frac{46208}{60}=770.14[/tex]

For 7 years,

           [tex]A=\frac{38000*4.32*7}{100}=11491.2[/tex]

Amount paid per month is,[tex]=\frac{49491.2}{84}=589.18[/tex]

The Amount difference is, [tex]=770.14-589.18=180.96[/tex]

For 7 year car loan, the monthly payment will be $180.96 lower as compare to 5 year car loan.

Learn more about the Simple interest here:

https://brainly.com/question/20690803

Answer: 6 weeks

6 weeks

Step-by-step explanation:

666

Answer:

17u+15

Step-by-step explanation: 15u+2u=17u add 8+7=15

Answer:

17u+15

Step-by-step explanation:

2u+15u+7+8

17u+15

Answer:

2.618 radians

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 minutes × (¾ inch)/minute  = 8×¾ inches = 6 inches

9514 1404 393

Answer:

  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See https://brainly.com/question/21087377.

__

5.

Given:

  triangular garden with base 7 ft and area 28 ft^2

Find:

  height of the triangle

Solution:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

__

6.

Given:

  (0, 110), (5, 345) . . . . . where the points represent ...

     (years after 2010, students using the hotline)

Find:

  a linear model for the data

  the number of students predicted for 2019

Solution:

The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

__

In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

Answer:

Step-by-step explanation:

Q4

Tom's speed upstream would be:

The distance traveled in 30 min:

Q5

Triangle area formula:

A and b given, substitute values to find the value of h:

Q6

Change in number of students over 5 years:

Rate of change per year:

Predicted number of students in 2019

Answer:

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

Answer:

The tool gave a message that read, “The specified values do not match a valid triangle.” That is because the sum of the lengths of two sides of a triangle must be greater than the length of the third side. In this case, the sum is equal to the third side, not greater than the third side:

7 + 6 = 13. No triangles can be constructed with the given conditions.

Step-by-step explanation:

Here is the Edmentum sample answer so I would change it up a little bit!

Have a good day :)

Answer:

x-3=15

x=18

y+3=12

y=9...........

Answer:

a)

Null Hypothesis            H₀ : μ = 30

Alternative Hypothesis H₁ : μ < 30

b)

p-value = 0.0099

c)

Since 0.0099 < 0.05

Therefore, there is enough evidence to conclude that blood transfusion improved the cognitive functions of 2-year old mice.  

Step-by-step explanation:

Given the data in the question,  

a) State the hypotheses.

Null Hypothesis            H₀ : μ = 30

Alternative Hypothesis H₁ : μ < 30

b) What is the p-value

Test statistics

t = ([tex]x^{bar}[/tex] - μ) / s/√n

t = (29 - 30) / (2/√25)

t = -1 / 0.4

t = -2.5

degree of freedom df = n-1 = 25 - 1 = 24

from table

p-value = 0.0099

c) Using α = 0.05, what is your conclusion?

p-value = 0.0099

α = 0.05

0.0099 < 0.05

So, there is enough evidence to conclude that blood transfusion improved the cognitive functions of 2-year old mice.  

Answer:

23.2586 ; IQ ; hours spent studying per week

Step-by-step explanation:

Given the regression model:

y = 6.9+0.055x1 +0.107x2 + 0.0853X3.

IQ scores = (X1)

Hours spent studying each week = (X2),

one's high school average = (x3)

The multiple standard error is 6.313 and R^2=0.826.

What is the predicted GPA for a student with a IQ of 108, 32 hours spent studying per week and a high school average of 82?

X1 = 108 ; X2 = 32 ; X3 = 82

y = 6.9 + 0.055(108) + 0.107(32) + 0.0853(82)

y = 23.2586

B.

The Independent variable with the smallest effect on GPA is the variable with the smallest Coefficient, which is IQ with a Coefficient of 0.055

C.

The Independent variable whiae unit change has the greatest effect on GPA is X2, hours spent studying per week as it has the highest Coefficient of all independent variables with a Coefficient value of 0.107.

Answer:

27.5 inches

Step-by-step explanation:

A= 1/2bh

A= 1/2(5)(11)

A=1/2(55)

A= 27.5

Answer:

Here!!

Step-by-step explanation:

Answer:

increase

Step-by-step explanation:

each person gets 600 out of 7200 for 12 employis

Answer:

Step-by-step explanation:

-32 = 2(x² + 10x)

Complete the square

 coefficient of the x term: 10

 divide coefficient in half: 5

 square it: 5²

 use 5² to complete the square and keep the equation balanced:

-32+2·5² = 2(x² + 10x + 5²)

18 =2(x+5)²

9 = (x+5)²

x+5 = ±√9 = ±3

x = ±3 - 5 = -2, -8

Answer: 53.10 thing so

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the information given:

the rate of the cars = [tex]\dfrac{1}{5} \ car / min = 0.2 \ car /min[/tex]

the rate of the buses = [tex]\dfrac{1}{10} \ bus / min = 0.1 \ bus /min[/tex]

the rate of motorcycle = [tex]\dfrac{1}{30} \ motorcycle / min = 0.0333 \ motorcycle /min[/tex]

The probability of any event at a given time t can be expressed as:

[tex]P(event \ (x) \ in \ time \ (t)\ min) = \dfrac{e^{-rate \times t}\times (rate \times t)^x}{x!}[/tex]

∴

(a)

[tex]P(2 \ car \ in \ 20 \ min) = \dfrac{e^{-0.20\times 20}\times (0.2 \times 20)^2}{2!}[/tex]

[tex]P(2 \ car \ in \ 20 \ min) =0.1465[/tex]

[tex]P ( 1 \ motorcycle \ in \ 20 \ min) = \dfrac{e^{-0.0333\times 20}\times (0.0333 \times 20)^1}{1!}[/tex]

[tex]P ( 1 \ motorcycle \ in \ 20 \ min) = 0.3422[/tex]

[tex]P ( 0 \ buses \ in \ 20 \ min) = \dfrac{e^{-0.1\times 20}\times (0.1 \times 20)^0}{0!}[/tex]

[tex]P ( 0 \ buses \ in \ 20 \ min) = 0.1353[/tex]

Thus;

P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.1465 × 0.3422 × 0.1353

P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.0068

(b)

the rate of the total vehicles = 0.2 + 0.1 + 0.0333 = 0.3333

the rate of vehicles with exact change = rate of total vehicles × P(exact change)

[tex]= 0.3333 \times \dfrac{1}{4}[/tex]

= 0.0833

∴

[tex]P(zero \ exact \ change \ in \ 10 minutes) = \dfrac{e^{-0.0833\times 10}\times (0.0833 \times 10)^0}{0!}[/tex]

P(zero  exact  change  in  10 minutes) = 0.4347

c)

The probability of the 7th motorcycle after the arrival of the third motorcycle is:

[tex]P( 4 \ motorcyles \ in \ 45 \ minutes) =\dfrac{e^{-0.0333\times 45}\times (0.0333 \times 45)^4}{4!}[/tex]

[tex]P( 4 \ motorcyles \ in \ 45 \ minutes) =0.0469[/tex]

Thus; the probability of the 7th motorcycle after the arrival of the third one is = 0.0469

d)

P(at least one other vehicle arrives between 3rd and 4th car arrival)

= 1 - P(no other vehicle arrives between 3rd and 4th car arrival)

The 3rd car arrives at 15 minutes

The 4th car arrives at 20 minutes

The interval between the two = 5 minutes

For Bus:

P(no other vehicle  other vehicle arrives within 5 minutes is)

= [tex]\dfrac{6}{12} = 0.5[/tex]

For motorcycle:

[tex]= \dfrac{2 }{12} = \dfrac{1 }{6}[/tex]

∴

The required probability = [tex]1 - \Bigg ( \dfrac{e^{-0.5 \times 0.5^0}}{0!} \times \dfrac{e^{-1/6}\times (1/6)^0}{0!} \Bigg)[/tex]

= 1- 0.5134

= 0.4866

Answer: 347,600,000,000

Step-by-step explanation: You have to move the decimal 11 places. After you move it behind the 6 to get the number 3,476, you have to move it 8 more times because 11-3 is 8. So you add 8 zeros

Answer:

10 per day

Step-by-step explanation:

Answer:

. 10 per day

Step-by-step explanation:

Answer:

[tex]f(9)=200[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 740 - 60n[/tex]

Required

Determine f(n) when n = 9

The question has been analysed in the GIVEN and REQUIRED option.

To solve further; Substitute 9 for n

[tex]f(9)=740 - 60 * 9[/tex]

[tex]f(9)=740 - 540[/tex]

[tex]f(9)=200[/tex]

Answer:

3/4 or 75% are boys

Step-by-step explanation:

To solve the problem we will first calculate the sum of all the interior angles.

The sum of all the interior angles of n numbered polygon is given as,

the sum of all the interior angles of n numbered polygon = (n-2) x 180°.

Given to us

A.)  the sum of the interior angles,

the sum of the interior angles = (n-2) x 180°

                                                   = (9-2) x 180°

                                                   = (7) x 180°

                                                   = 1,260°

Thus, the measurement of the sum of the interior angles of a 9 sided polygon is 1260°.

B.) the measurement for each angle

[tex]\text{Measurement for each angle} = \dfrac{\text{sum of all the interior angles}}{\text{Number of sides}}[/tex]

[tex]\text{Measurement for each angle} = \dfrac{1260^o}{9}[/tex]

                                            [tex]= 140^o[/tex]

Hence, the measurement of each angle of a 9 sided polygon is 140°.

Learn more about Interior Angles:

https://brainly.com/question/2125016

Answer:

3/8

Step-by-step explanation:

6/8 - 3/8 = 3/8

You will get this answer if you type it in a calculator.

Answer:

Step-by-step explanAnswer: -$1465.5

Ms. Thomas pays the 'same' amount as her car loan each month through car payments.

Total amount payed at the end of the year for car loan = -$2931

Change in Ms. Thomas' savings account each month (with respect to car loan) =

-2931/12 = -$244.25

So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:

-$244.25 x 6 =  -$1465.5ation:

Answer:

D) F

Step-by-step explanation:

Answer: 10.7x + 5

Step-by-step explanation:

(3.5 + 7.2)x + (-5 + 10) = 10.7x + 5