-3(x-14)+9x=6x+42 what solution does this

Answer:

Step-by-step explanation:

4.375

Answer:

a)[tex]s=\sqrt{1+d^2}[/tex]

b)d(t)=500t

c)[tex]s(t) =\sqrt{1+250000t^2}[/tex]

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]s^2=1^2+d^2[/tex]

a) [tex]s=\sqrt{1+d^2}[/tex]

(b) Express d as a function of the time t (in hours) that the plane has flown.

[tex]distance = speed \times time[/tex]

d(t)=500t

(c) Use composition to express s as a function of t.

[tex]s(t) =\sqrt{1+d^2}[/tex]

using b

[tex]s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}[/tex]

Step-by-step explanation:

1)All rational numbers are also integers.

2)All integers are rational numbers.

3)All rational numbers can be written in the form.

Answer:

55075  / 68992

Step-by-step explanation:

:) hope this helps

9514 1404 393

Answer:

  2

Step-by-step explanation:

In general, if the given angle is opposite the shorter of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.

__

There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.

If the given angle is opposite the longer of the two given sides, there is one possible triangle. The same is true if the given angle is between the two given sides.

9514 1404 393

Answer:

  b)  12.2 ft

Step-by-step explanation:

Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.

The problem can be solved using the law of sines. In the attached, we have ...

  AD/sin(O) = OA/sin(D)

The angle at D is 180° -45° -75° = 60°, so this can be written as ...

  AD = sin(45°)(15 ft)/sin(60°)

  AD ≈ 12.247 ft

The pole is about 12.2 feet long.

Answer:

remainder = 8

answer is: 2a^(2) + 2a + 5 remainder 8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the volume of a prism is always the base times the height this can be written as V = bh

we know the volume is 144 and the base is 24

substitute this into your equation: 144 = 24h

divide both sides by 24 to find h

144 ÷ 24 = 6

so you get h = 6

Assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

Using this formula

Volume of prism=Base area ×Height

Hence:

144=24×h

h=144/24

h=6 units

Therefore, assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.

Learn more about Perpendicular height of the prism here:https://brainly.com/question/10166088

Answer:

Step-by-step explanation:

6, 2, 4 =136*

136+136=272

1,3,7,5 = 44 each

360* is the total 4 numbers

Answer:

the answer is 123,343,435.4421

Answer:

3.2

Step-by-step explanation:

5.9 - 2.7 = 3.2

**difference means subtract**

The difference is between 2.7 and 5.9 on a number line.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

Any directed number's location can be determined using a number line. There are positive and negative axes in it.

We have to determine the difference between 2.7 and 5.9 on a number line.

⇒ 5.9 - 2.7

Apply the subtraction operation between 2.7 and 5.9, and we get

⇒ 3.2

Therefore, the difference is between 2.7 and 5.9 on a number line.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ2

Answer:

3(5x+7)

Step-by-step explanation:

15x+21

3(5x+7)

Answer:

3(5x + 7)

Step-by-step explanation:

15x + 21

3(5x + 7)

Answer:

Maybe,2500. Is just my guessing.

Step-by-step explanation:

Cost of Goods Sold = Beginning Inventory + Purchases during the year - Ending Inventory

= 20,000 + 15,000 - 2,500

=35,000 - 2,500

=32,500

Answer:

If they are not collinear, then the three points are coplanar.

Step-by-step explanation

Contrapositive is the negative + opposite of the original statement.

Answer:

It’s 42

Step-by-step explanation: when Quinn return home, it was 0 minutes he turned on the air conditioner. So temperature at that time is equal to value of Q when t=0

Q=42-0.7t

=42-0.7(0)

=42

Answer:

42

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

The slope should be 5/4 because if you go to a point on the line where the boxes meet on your graph and connect it to another point, you can count. I like to use rise over run, meaning you count up or down until you get level with the point you're trying to reach, and the run is the left or right until you get to the point you need. I really hope this helped! It may seem confusing at first, but you got it!

Answer:

12

Step-by-step explanation:

answer: It would be -(-3)-4-3 or 3-4-3=-4

explanation: Hope this helps!

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

[tex]Hypotenuse = \sqrt{8^{2}+15^{2} }[/tex]

[tex]Hypotenuse = \sqrt{64+225}[/tex]

[tex]Hypotenuse = \sqrt{289}[/tex]

[tex]Hypotenuse = 17[/tex]

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Answer:

B

The answer is b im doing a type limit.

Answer:

Step-by-step explanation:

Let's begin the solution by isolating the 4x term:

4x- c= k  =>  4x = c + k

Now divide both sides by 4:

          c + k

x = --------------

              4

This does not match Answer C, but would match Answer C if k + c were divided by 4.  Answer C, as shown, is incorrect.

Answer: 2.2 meters

Step-by-step explanation:

The data is:

The initial piece is 6.35 meters long.

We cut 25 pieces of 16.2cm each, so in pieces only we have:

25*16.2cm = 405cm

1m = 100cm

Then: 405cm = (405/100) m = 4.05m

And each time that we cut a piece, we have 4mm of waste.

Then we have 25 times the 4mm of waste, this means that the total waste is:

4mm*25 = 100mm

and 1000mm = 1m

100mm = (100/1000) m = 0.1m

So the total amount that was cut is:

4.05m + 0.1m = 4.15m

The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters

Answer: A= 9

Step-by-step explanation:

2(a+6)-3(a-5)=18

FIRST YOU WANT TO DISTRUBUTE THE PARENTHESIS

2a + 12 -3a + 15 =18

ADD AND SUBTRACT LIKE TERMS

-1a + 27 = 18

SUBTRACT 27 ON BOTH SIDES

-1a + 27 =18

     - 27    -27

-1a= -9

DIVIDES -1 ON BOTH SIDES AND NEGATIVES CANCEL OUT SO IT WOULD BE

A= 9

Answer: 4 days

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

50 Minutes

Step-by-step explanation:

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for u

Step 3: Check

Plug in u to verify it's a solution.

31.25 = 156.25/5

31.25 = 31.25

Answer:

156.25

Step-by-step explanation:

if you multiply 31.25 times 5 you get 156.25

Answer: Consructive interference

Step-by-step explanation:

Answer:

destructive interference

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]

b

 [tex]h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17[/tex]

c

 [tex]h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]

Step-by-step explanation:

From the question we are told that

    [tex]h(x) =  x^2  + x  + 5[/tex]

and  

    [tex]g(x) = \sqrt[4]{x} + 3[/tex]

Considering first question

Now we are told  g(h(x))

i.e

        [tex]g(h(x)) =  [x^2 + x + 5 ]^{\frac{1}{4} } + 3[/tex]

=>     [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]

Considering second  question

   Now we are told  h(g(x))

i.e

    [tex]h(g(x)) =  [x^{\frac{1}{4} } + 3]^2 +  x^{\frac{1}{4} } + 3 + 5[/tex]

=> [tex]h(g(x)) =  x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}}  + 8[/tex]

=>  [tex]h(g(x))  = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17[/tex]

=>  [tex]h(g(x))  = \sqrt{x}  + 7\sqrt[4]{x} + 17[/tex]

Considering third question

         [tex]h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] +  5[/tex]

=>       [tex]h(h(x)) =  [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]

Answer:

1) A. 54

2) D. 62

Step-by-step explanation:

Find the complete question in the attached diagram.

Range is the difference between the highest score and the lowest score.

Given the following scores on the Overcontrolled-Hostility scale.

69, 84, 56, 89, 47, 63, 86, 58, 74, 35, 71, 60

From the data:

Highest score =  89

Lowest score = 35

Range = Highest score - Lowest score

Range = 89-35

Range = 54

Hence the possible value of the range is 54

For the scores on the Defensiveness scale given as:

38, 70, 35, 42, 26, 87, 74, 61, 69, 46, 63, 25

Highest score = 87

Lowest score = 25

Range = Highest score - Lowest score

Range = 87-25

Range = 62

Hence the possible value of the range is 62

Answer:

A

Step-by-step explanation:

Slope intercept form is y = mx + b

First find the slope or m with this equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] (plug in) [tex]\frac{6 - 2}{12 + 4}[/tex] = [tex]\frac{4}{16}[/tex]=  [tex]\frac{1}{4}[/tex]

So your slope is [tex]\frac{1}{4}[/tex]

To find the y-intercept you use y= mx + b and plug in.

6 = 1/4(12) + b

6 = 3 + b (minus 3 on both sides)

3 = b

so 3 is the y-intercept

So the answer is A.