2(3x - 5) < 4X
Solve the inequality

Answer:

  97 ft

Step-by-step explanation:

The Pythagorean theorem is useful for working problems like this. It tells you the relationship between side lengths and the hypotenuse of a right triangle.

Here, the building is presumed to be perpendicular to the ground, so the 100' rope is the hypotenuse of a triangle with legs equal to 23' and the height of the building (b).

  23² +b² = 100²

  b = √(10000 -529) ≈ 97.32

The height of the building is about 97 feet.

Answer:

1 1/3 tubs per min.

2 mph.

50 mph.

9 cups per bag.

Step-by-step explanation:

Multiply the numerator of the first number by the denominator of the second number, then divide the product by the denominator of the first number. Hope this helps :)

Answer:

True

Step-by-step explanation:

Like terms like 4x-3x the x term. is a like term

6-4x can be subtracted because they aren't the same.

High Hopes^^

Barry-

Answer:

i believe this false but im not positive

use the distributive property

combine alike terms

add the negative number to the other side

combine alike terms

then divide on both sides to get the variable by itself

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

For more information, refer to the link given below:

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Answer: I believe it's correct. Good Job! :D

Answer:

x = -6

Step-by-step explanation:

Distribute the 2 into the brackets:

2x + 10 = -2

leave the 2x alone on one side:

2x = -2 -10

2x = -12

divide both sides by 2:

x = -6

Answer:

45° + 2k + k = 180°

=> 45 + 3k = 180

=> 3k = 180 – 45

=> k = 135/3

=> k = 45

other two angles :-

2k = 2×45 = 90°

k = 45°

Answer:

Sean swam 12 laps.

Step-by-step explanation:

Let S represent Sean

Let S+2 represent Amy

Let 2S represent Katie

Let 2S + 4 represent Tom

Now add together and set it equal to 78

S + S+2 + 2S + 2S+4 = 78

6S + 6= 78

6S=72

S=12

Answer:

Step-by-step explanation:

Given f(x) = 2x²+16

g(x) = √5x³

First is to get the composite function f(g(x))

f(g(x)) = f(√5x³)

To get f(√5x³), we will replace x in f(x) with √5x³ as shown:

f(√5x³) = 2(√5x³)²+16

f(√5x³) = 2(5x³)+16

f(√5x³) = 10x³+16

Hence f(g(x)) = 10x³+16

f(g(x)) will be the function of amount earned by Raul for the total number hour he works

Answer:

10x^3 dollars/hour

Step-by-step explanation:

Answer:

After 7 months months the population of both the town will be equal.

Step-by-step explanation:

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

when the population of both of the towns are same,then

Answer:

television/ video games= 1/4

Step-by-step explanation:

cuz there are 2 sets of 30 min in an hour, make the video games time 4 sets of 30 min, and the tv time 1 set. so , the ratio would be 1/4.

The ratio of the amount of time spent on watching television to the amount of time spent on playing video games as a fraction in the simplest form is 1 : 4.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time spend on watching television = 30 minutes.

And time spend on playing video games = 2 hours.

To find the ratio of the amount of time spent on watching television to the amount of time spent on playing video games,

Use ration property,

Ratio = time spend on watching television/ time spend on playing video games

         = 30 minutes / 2 hours

         = 30 minutes / 2 x 60 minutes

         = 1 / 4

Ratio = 1 : 4

The required ratio of time spend on television to time spend on playing video games is 1 : 4.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer:

3^12

Step-by-step explanation:

When the whole numbers are the same, add the exponents

Answer:

x=160°, y= 62°

Hope this helps

Answer:

∠X = 160°, ∠Y = 62°

Step-by-step explanation:

∠ABD = ∠FDC = 20° [ DF║AB ]

∠X = 180° - ∠FDC

∠X = 180° - 20° = 160°

∠FCD = ∠BCA = 98°        

∠Y = ∠CAB [ DF║AB]

∠BCA+∠CAB+∠ABC = 180°

98°+∠CAB+20° = 180°

∠CAB = 180° - 118° = 62° = ∠Y

360-gon all have 80-degree rotational symmetry.

Answer:

360-gon all have 80-degree rotational symmetry.

Step-by-step explanation:

Answer:

i = 1/2 Or 0.5

Step-by-step explanation:

-10 + 8i + 4 + 4i = 12i - 6

12i = 6

i = 1/2 Or 0.5

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:

385 / 6 = 64.1667 = 64

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

385 - (6 x 64) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:

64 1

     ___

       6

Step-by-step explanation:

Answer:

y=(19+7)(2x6+1)

y=2

Step-by-step explanation:

Answer:

[tex]32b^{3} +56b^{2}[/tex]

Step-by-step explanation:

Answer:

32b^3+56b^2

Step-by-step explanation:

distribute 8b^2 through the ()

32b^3+56b^2

Answer:

( 4 , − 2 )

Step-by-step explanation:

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.

Answer:

Answer: The number of months for God is twelve months in the Book of God, on the Day of Creation of the Heavens and the Earth, four of which were forbidden by this valuable religion, so do not oppress yourselves in them and fight all the polytheists as they all fight you, and know that God is with the pious

Explanation: The number of months for God is twelve months in the Book of God on the Day of Creation of the Heavens and the Earth. Four of them have forbidden this valuable religion, so do not oppress yourselves in them, and fight all the polytheists as they fight all of you, and know that God is with the righteous

The number of months for God is twelve months in the Book of God on the Day of Creation of the Heavens and the Earth, out of which are four He forbade this valuable religion, so do not oppress yourselves in them, and fight all the polytheists as they all fight you, and know that

Step-by-step explanation:

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ [tex]\boxed{p = \frac{-7}{3} }[/tex]

[tex]-2 = \frac{6}{7}p[/tex]

✽ Flip the equation.

[tex]\frac{6}{7} p = -2[/tex]

✽  Multiply both sides by 7/6.

[tex](\frac{7}{6} ) * (\frac{6}{7}p) = (\frac{7}{6} ) * (-2)[/tex]

[tex]p = \frac{-7}{3}[/tex]

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

can you put some context?

Step-by-step explanation:

Answer:

for my opinion, i think yo should try, i agree.

Step-by-step explanation:

Answer:

It looks right to me

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The number of cookies that are left unsold if they work from 6:00 AM until noon is 12.

Cookies baked per hour by Christine = 20*2 =40

Cookies sold per hour by Charlie = 38

There will be 6 hours between 6:00 AM and noon.

So, Cookies baked by Christine in 6 hours = 40*6 =240

Cookies sold by Charlie in 6 hours = 38*6 =228

Number of unsold cookies =240-228 =12

Hence, the number of cookies that are left unsold if they work from 6:00 AM until noon is 12.

To get more about such word problems visit:

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Answer:

172

Step-by-step explanation:

It is already a whole number so you just add.