A plane Airport on Tuesday morning for a 755-mile,6- hour trip. For the first part of the tripthe average speed was 105 mphFor the remainder of the trip the average speed was 130 mph . How long did the plane fly at each speed ?

Answer:

Option E. None of the above.

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

Recall:

When a function f(x) is multiplied by it's inverse f¯¹(x), the result is equal to 1 i.e

f(x) × f¯¹(x) = 1

With the above information, we can determine the inverse of function given above as follow:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

f(x) × f¯¹(x) = 1

(x – 5)/(2x + 3) × f¯¹(x) = 1

f¯¹(x)(x – 5) / (2x + 3) = 1

Cross multiply

f¯¹(x)(x – 5) = (2x + 3)

Divide both side by (x – 5)

f¯¹(x) = (2x + 3) / (x – 5)

Thus, the inverse of the function is (2x + 3) / (x – 5).

Option E gives the correct answer to the question.

Step-by-step explanation:

the true answers are:

A. f(-1)=6

D. the domain for f(x) is the set

{-2,-1,0,1,2,3,4,5,6}

Answer:

1.5

tan45=1

sin30=1/2

so 1+1/2=1.5 or 3/2

Answer:

(a)=50%(b)=2.1and(c)=16.1

Step-by-step explanation:

Hope this helps

Answer:

Surface Area = 54 in^2

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]

SA = [tex]6(3)^2[/tex]      Solve for the exponents first

SA = 6(9)       Then multiply

SA = 54 square inches

Step-by-step explanation:

If you use synthetic division, you get,

[tex]2x {}^{3} + 2x + 4 + \frac{0}{x + 2} [/tex]

Which is,

[tex]2x {}^{3} + 2x + 4[/tex]

Answered by GAUTHMATH

Answer:

The correct answer is:

2x^3+2x+4

Step-by-step explanation:

I got it right on the Plato test.

Answer:

1. k = 15

2. d = 20

3. n = 3

Answer:

r≈17.85

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

r=17.85

Step-by-step explanation:

i just got it and did the math

Answer: 4)

Step-by-step explanation: angles 2 and 3 equal 7 because they are both missing angle 4 to make it either 180 degrees or 360 degrees respectively.

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

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Answer:

  B.  ∠A ≅ ∠E

Step-by-step explanation:

The similarity statement tells you the corresponding angles are ...

  ΔCAB ~ ΔCED

  ∠C ≅ ∠C . . . . listed first in the similarity statement

  ∠A ≅ ∠E . . . . listed second in the similarity statement

  ∠B ≅ ∠D . . . . listed third in the similarity statement

The relationship between angles A and E is properly shown in answer choice B.

Answer:

It's letter c

Step-by-step explanation:

you have to × the 0.5 and 1

Answer:

See image below for answer:)

Step-by-step explanation:

tiệm cận ngang của đồ thị 3/x+3

Answer:

V = L^3      where v is volume and L the length of one side

A = 6 * L^2    total area of cube with side L

A = 6 * V^2/3      area of cube expressed in V

A2 / A1 = (V2 / V1)^2/3       6 cancels

A2 / A1 = 8^2/3 = 4      ratio of areas

Answer:

5

Step-by-step explanation:

WHen we raise a power to a power, we multiply them, in this case 5 is the base so we can just ignore it for now and replace it with x.

(X^1/3)^3

Multiply 1/3 by 3 and we get 1

So:

X^1

Which does nothing, so we can simplify to just:\

X

Remember x is 5 so the answer is:

5

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Answer:

Step-by-step explanation:

a) Let p and d represent the prices of a bag of popcorn and a drink, respectively.

Mohamed's purchase is ...

  2p +3d = 18.25

Miguel's purchase is ...

  4p +2d = 27.50

__

b) We can subtract half the second equation from the first to get an equation for the cost of a drink.

  (2p +3d) -1/2(4p +2d) = (18.25) -1/2(27.50)

  2d = 4.50 . . . . . . simplify

  d = 2.25 . . . . . . divide by 2

  4p +2(2.25) = 27.50 . . . . substitute for d in the second equation

  4p = 23.00 . . . . . . . . . subtract 4.50

  p = 5.75 . . . . . . . . . divide by 4

The cost of a bag of popcorn is $5.75; the cost of a drink is $2.25.

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The measures of [tex]x[/tex] and [tex]y[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

[tex] 40° = 70° + y[/tex]

[tex]➪ \: y= 40° - 70°[/tex]

[tex]➪ \: y = - 30°[/tex]

Also,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

[tex]y[/tex] + [tex]x[/tex] = [tex]180°[/tex]

[tex]➪ \: -30° + x= 180°[/tex]

[tex]➪ \:x = 180° + 30°[/tex]

[tex]➪ \:x = 210°[/tex]

[tex]\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

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Answer:

  y = 21/x

Step-by-step explanation:

The inverse variation relation means ...

  y = k/x

For the given values, we can determine the constant k:

  3 = k/7

  3×7 = k = 21

Then the function is ...

  y = 21/x

Answer:

tan 30 = x / 15

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = x

Adjacent Leg = 15

Step 2: Solve for x

Answer:

3rd one

Step-by-step explanation:

Recall that

Sin = opposite over hypotenuse

Cos = adjacent over hypotenuse

Tan = opposite over adjacent

For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length

When dealing with opposite and adjacent we use tangent

If tan = opposite over adjacent

Then tan30 = x / 15 and the correct answer choice is the third one

Answer:

C. she is not beautiful and not clever.

Step-by-step explanation:

A. she is beautiful but not clever. B. she is beautiful and clever

C. she is not beautiful and not clever.

D. she is beautiful or not clever.

p: she is beautiful

q :she is clever

~p^ (~q) in verbal form

~p = she is not beautiful

~q = she is not clever

~p^ (~q) = she is not beautiful and not clever.

C. she is not beautiful and not clever.

Answer:

x=[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

Hi there!

We are given the equation -5(-3x+1)=45 and we need to solve for x

we do this by isolating x by itself on one side of the equation; the numbers (the value of x) is on the other side

First, do the distributive property and distribute -5 on -3x and 1 on the left side (multiply both -3x and 1 by -5)

15x-5=45

add 5 to both sides (-5+5=0)

15-5=45

   +5  +5

_________

15x=50

divide both sides by 15 (15÷15=1)

15x=50

÷15  ÷15

________

x=[tex]\frac{50}{15}[/tex]

we can simplify this fraction by factoring five out of 50 and 15

x=[tex]\frac{10*5}{3*5}[/tex]

cancel 5 out of the numerator and denominator

x=[tex]\frac{10}{3}[/tex]

The answer can be left as an improper fraction

Hope this helps! :)

Answer:

The answer is A

Step-by-step explanation:

just took it on egde

Replace r in the equation with 55 mph and solve for d.

D = 0.045(55)^r + 1.1(55)

Simplify:

D = 0.045(3025) + 60.5

D = 136.125 + 60.5

D = 196.625

At the speed limit of 55 mph the skid mark would be 196.625 feet long.

Because the skid mark was greater than that it was going faster than 55 mph.

To find the speed the car was going replace d with 250 and solve for r:

250 = 0.045r^2 + 1.1r

Multiply both sides by 1000 to remove decimals:

250000 + 45r^2 + 1100r

Subtract 250000 from both sides

45r^2 + 1100 -250000 = 0

Use the quadratic formula to solve:

R = -1100 + sqrt(1100^2 14x45(-250000) /(2 x45)

R = 63.308 miles per hour

The speed of the car was 63.3 miles per hour

Answer:

6x coefficient is 6. the number next to the letter

Step-by-step explanation:

Answer:

A circle to start off, encompassing almost the entire figure, then a triangle, with D, A and C as its vertices, then a fan (a sector of a circle), with C, E and B as its vertices. Next, a chord (DA) which serves as a line segment at the same time, and finally three rays, starting from C and ending in A, B and E respectively. In total, six geometric figures.

Step-by-step explanation:

Hope this helped!

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer:

The length that separates the top 8% is of 5.2162 centimeters, and the length that separates the bottom 8% is of 5.1038 centimeters.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.16 centimeters and a standard deviation of 0.04 centimeters.

This means that [tex]\mu = 5.16, \sigma = 0.04[/tex]

Length that separates the top 8%

The 100 - 8 = 92th percentile, which is X when Z has a p-value of 0.92, so X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 5.16}{0.04}[/tex]

[tex]X - 5.16 = 1.405*0.04[/tex]

[tex]X = 5.2162[/tex]

Length that separates the bottom 8%

This is the 8th percentile, which is X when Z has a p-value of 0.08, so X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 5.16}{0.04}[/tex]

[tex]X - 5.16 = -1.405*0.04[/tex]

[tex]X = 5.1038[/tex]

The length that separates the top 8% is of 5.2162 centimeters, and the length that separates the bottom 8% is of 5.1038 centimeters.