Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.

Answer:

<

Step-by-step explanation:

6.53 < 6.534

Answer:

[tex]y = Acos5x - Bsin5x[/tex]

Step-by-step explanation:

Given the differential equation y''-10y'+29y=0

First, we need to rewrite it as an auxiliary equation as shown:

Let y'' = m²y and y' = my

Substitute the values into the general equation

m²y-10my+29y = 0

Factor out y:

(m²-10m+29)y = 0 [The auxiliary equation]

Solve the auxiliary equation and find the roots of the equation

m²-10m+29 = 0

m = -b±√(b²-4ac)/2a

a = 1, b = -10, c = 29

m = -10±√(10²-4(1)(29))/2(1)

m = -10±√(100-116)/2

m = -10±√-16/2

m = (-10±4i)/2

m = -10/2 + 4i/2

m = -5+2i

Comparing the complex number with a+bi, a = -5 and b = 2

The general solution for complex solution is expressed as:

[tex]y = Acosax + Bsinax[/tex]

Substitute the value of a in the equation

[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]

Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]

Answer:

$52

$57.6

Step-by-step explanation:

$20 off $72 is equal to 72-20=$52

20% of $72 is $14.4 which will then lead to 72-14.4=$57.6

Answer:

i think $23.40

Step-by-step explanation:

if she used it for 20 mins then that would be 0.08*20=1.60

25-1.60=23.40

hope this helps :3

sorry if im wrong

Answer:

2nd) which is 4 multiplied by 5 multiplied by 2

Answer:

turn it into an improper fraction then subtract

Step-by-step explanation:

5×6=30

30+1=31

31/6

3×6=18

18+5=21

21/6

31/6 - 21/6 = 10/6

simplify: 5/3 ♡

I'm not sure tho lol

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

Answer:

i think it is 105

but 105 divide by 11 is 9.54

Answer:

0.2400000096

1.16666666667

1.92307692308

0.02551020238

Step-by-step explanation:

hope this helps :)

3/15 divided by 5/6: 6/25

7 divided by 1/6: 21/50

2 1/5 divided by 1 1/3: 21/50

2 1/7 divided by 3/28: 20

Hope this helps!

Answer:

it would True

Step-by-step explanation:

Answer:

24x+10y=98

2sunny days

5rainy days

Step-by-step explanation:

x=number of sunny days

y=number of rainy days

(2*24)+(10*5)=98

vualah :)

Answer:

m<GFC = 69 degrees

Step-by-step explanation:

The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate

The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate

So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples

180 - (37+74) = 69

So the angle on the right of angle 74 = 69

So m<GFC = 69 degrees

Answer:

Its 69

Step-by-step explanation:

the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x

Answer: 6 miles

Step-by-step explanation:

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.

SOLVING EQUATION FOR MILES PER LAP

Step 1) 3x + 6 = 5x + 2

given equation from what we put together.

Step 2) -3x + 3x + 6 = 5x + 2 -3x

subtract 3x from both sides.

Step 3) -2 + 2x + 2 = 6 -2

subtract 2 from both sides.

Step 4) 2 × x = 4

divide both sides by 2 because you want to put the variable (x) on one side.

Step 5) x = 2 miles for each lap

Now you want to go look back at the equation and plug in 2 for the variable x.

Step 6) 5 ×2 + 2 = 12

PEMDAS!

Step 7) 12 ÷ 2 = 6

SHE RUNS 2 MILES ON SATURDAYS!

the answer to the equation is -9

Answer:

1213.275

or

48,531/40​

Answer: 0.9887

Step-by-step explanation:

Let p be the probability that flights are on time.

As per given, p =70% = 0.7

Sample size : n = 8

Let x be a binomial variable that represents the number of fights are on time ( i.e. success).

Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]

Now,  the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]

The probability that at least 3 flights are on time = 0.9887

Answer:

6

Step-by-step explanation:

3 3/7 * 1 3/4

~Turn into improper fractions

24/7 * 7/4

~Multiply both numerators and denominators.

168/28

~Simplify

6

Best of Luck!

-13    EX:  2(-4) - 5 = -8 -5 = -13

-7      

-1

1

3

THESE ARE THE ANSWERS

Answer:

3 hours

Step-by-step explanation:

285+55+285+55+285+55=1020

or another way

285+55×3= 1020

Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

Know more about rectangle,

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Answer:

wheres the table can you please provide one

Step-by-step explanation:

AnswerA= -4,000m

Step-by-step explanation:

1    35,000

2   31,000

3   27,000

4   23,000

Youre subtracting 4,000 everytime.

Answer:

324.848

288.464

316.112

337.856

Step-by-step explanation:

Given that :

Mean (m) = 350

Standard deviation (σ) = 48

Determine the value of x for the following :

Using the z probability calculator :

a.) 70% of the values are greater than x.

1 - 0.7 = 0.3

P(x < 30%) = P(x < 0.3) = - 0.524 = z

Z = (x - m) / σ

x = (z * σ) + m

X = (- 0.524 * 48) + 350 = 324.848

b.) x is less than 10% of the values.

P(x < 0.1) = - 1.282 = z

X = (- 1.282 * 48) + 350 = 288.464

C.) 24% of the values are less than x

P(x < 0.24) = - 0.706 = z

X = (- 0.706 * 48) + 350 = 316.112

D.) x is greater than 60% of the values

P(x > 0.6) = -0.253 = z

X = (- 0.253 * 48) + 350 = 337.856

Answer:

the answer is 77

Step-by-step explanation:

A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77

Answer:

C 1,600

Step-by-step explanation:

because If you multiply 37*43 It will get you 1591 and it's asking for the estimated answer which is 1600

Answer:

813

* 9. 9*800= 7200

9*10. =90

7200

90. 9*3. =27

27

7317

The partial product is 7317.

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)

Given:

9 x 813

Now, breaking the number according to their place value.

So, 813

=(800 + 10 +3)

Then the partial product will be written as

=9 * (800 + 10 +3)

=9* 800+ 9*10 + 9*3

=7200 + 90 + 27

= 7317

Hence, the partial product is 7317.

Learn more about partial product here:

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Answer:

1. Rational Algebraic Expression

2. 0

3. See explanation

Step-by-step explanation:

Solving (1):

From the list of given options, Option C. Rational Algebraic Expression answers the question.

And it is always of the form P/Q where P and Q are polynomials

Take for instance

P = x² - x + 2 and Q = x² + 2x - 4

P/Q = (x² - x + 2)/(x² + 2x - 4)

The above expression is a perfect example of a Rational Algebraic Expression

Solving (2): The denominator of a rational algebraic expression must not equal 0

Hence, option A answers the question

Solving (3): The options are missing.

However, a perfect example has been sighted on (1) above

Answer:

The answer is c

Step-by-step explanation:

Beacuse when u the shape is transfrromed that what u get