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Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

Answer:

[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

Step-by-step explanation:

we would like to figure out the second derivative of the following:

[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]

we can rewrite it thus rewrite:

[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]

by sum derivation we obtain:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]

by exponent derivation we acquire:

[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]

take derivative In both sides once again:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]

use difference rule which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]

use exponent derivation which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]

by law of exponent we get:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

hence, our answer is d)

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

Step-by-step explanation:

scale factor=17/36

Answer:

Step-by-step explanation:

1/(3x+5)(3x-5) - 1/2(3x+5)

2 - (3x-5)

2(3x+5)(3x-5)

2-3x+5

2(3x+5)(3x-5)

-3x + 7

2(3x+5)(3x-5)

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

====================================

Work Shown:

(x+1)(2x-3)

y(2x-3)

2xy - 3y

2x( y ) - 3( y )

2x( x+1 ) - 3( x+1 )

2x^2+2x - 3x-3

2x^2 - x - 3

Explanation:

In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

So, let's find the slope of each equation.

The first basketball is modeled by:

[tex]\displaystyle 3x+4y=12[/tex]

We can convert this into slope-intercept form. Subtract 3x from both sides:

[tex]4y=-3x+12[/tex]

And divide both sides by four:

[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

[tex]-6x-8y=24[/tex]

Again, let's convert this into slope-intercept form. Add 6x to both sides:

[tex]-8y=6x+24[/tex]

And divide both sides by negative eight:

[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

Answer:

5x^4

Step-by-step explanation:

Re-order terms so constants are on the left

x^2*x^2*5

5x^2*x^2

Combine exponents

5x^2*x^2

5x^4

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

[tex] = 4 + 4 \sqrt{3} + 3[/tex]

[tex] = 7 + 4 \sqrt{3} [/tex]

[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:16500

Step-by-step explanation:

That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

Answer:

cot (x)

Step-by-step explanation:

cot x

---------------

cos x  sec x

We know that sec = 1/ cos

cot x

---------------

cos x  1/ cos x

cot x

---------------

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.

Answer:

See below

Step-by-step explanation:

3x < 11.75

11.75 / 3 = 3.92

x < 3.92

Answer:

5x-2

Step-by-step explanation:

15x^2-x-2

15x^2+5x-6x-2

factorize

5x(3x+1)-2(3x+1)

Sol: (3x+1)*(5x-2)

Answer: $6335.76

Step-by-step explanation:

you would do 3,000 times 105% = 3450

then you would do 3450 times 105% = 3967.5 then you would do 3967.5 times 105% = 4562.62 then you would do 4562.62 times 105% = 5247.01 next you would do 5247.01 times 105% = 6034.06 finally you would do 6034.06 times 105% = 6335.76

Answer:

volume=1243.44 cm^3

Step-by-step explanation:

volume of a cone=πr^2h

=3.14*(6)^2*111

=3.14*36*11

=1243.44 cm^3

Answer:

V=414.69cm³

Step-by-step explanation:

use v=πr²h/3

pie is 22/7 so when you fix in your values you will get the answer

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

Answer:

A. 23+x=140

Step-by-step explanation:

The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:

m∠AOB + m∠BOC = m∠AOC.

From the image:

∠NOP = ∠NOQ + ∠QOP

∠NOP = 140, ∠NOQ = x, ∠QOP = 23

substituting:

140 = x + 23

x = 140 - 23 = 117

∠NOQ = 117°

Answer:

x=45 degree

Step-by-step explanation:

x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)

x=180-135

x=45 degree

Answer:

Step-by-step explanation:

Hope this helps u!!