what are the inequalities​

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]

Answer:

1/20 x 595

Step-by-step explanation:

1/20 is the lowest fraction in this situation so lower fractions and multiplying whole numbers will be lower than 1/2

Answer: C

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

took the test on ap ex

Answer:

Milk: 1000 ml

Flour: 480 g

Butter: 250 g

Step-by-step explanation:

To calculate the amount of butter you have to figure out more flour she used.

First, 480 ÷ 120 = 4 So she uses 4 times the amount of flour.

Then, 60 × 4 = 240

Next, you need the amount of milk so we also multiply by 4.

250 × 4 = 1000

Lastly, have a great day!

Answer:

The answer is A

Step-by-step explanation:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

Answer:

Try 64. I think its right. I could be wrong though

Step-by-step explanation:

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

[tex]4 \times \frac{3}{8} [/tex]

[tex] \frac{4}{1} \times \frac{3}{8} [/tex]

=12/8

=1 4/8=

= 1 1/2

Answer:

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

Step-by-step explanation:

Let

Hourly wage at the library = x

Hourly wage at the coffee cart = y

On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.

Hence:

3x + 2y = 36.5.... Equation 1

On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.

2x + 5y = 50...... Equation 2

Combining both Equations

3x + 2y = 36.5.... Equation 1

2x + 5y = 50...... Equation 2

We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x

6x + 4y = 73 .. Equation 3

6x + 15y = 150...... Equation 4

Subtract Equation 3 from Equation 4

11y = 77

y = 77/11

y = 7

Solving for x using Equation 2

2x + 5y = 50...... Equation 2

2x + 5 × 7 = 50

2x + 35 = 50

2x = 50-35

2x = 15

x = 15/2

x = 7.5

Therefore,

Hourly wage at the library = x = $7.5

Hourly wage at the coffee cart = y = $7

Given:

The given function is:

[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

To find:

The differentiation of the given function.

Solution:

Consider the given function,

[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

It can be written as:

[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]

[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]

[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]

[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]

Differentiate with respect to x.

[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]

[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]

[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]  

Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

Given:

The given volume formulas to calculate the volume of a rectangular

pyramid.

To find:

The correct volume formula.

Solution:

The volume of a rectangular pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.

Therefore, the correct volume of a rectangular pyramid is [tex]V=\dfrac{1}{3}Bh[/tex].

Note: In the given problem, the options are not in correct form.

Answer:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

Answer:

x = 12 degrees

Step-by-step explanation:

m < LNM = (70+136)/2

= 206 / 2

= 103 degrees

So 7x + 19 = 103

7x = 103 - 19 = 84

x = 84/7

x = 12.

Answer:

8 Tickets

Step-by-step explanation:

64/8 = 8 tickets

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

check work:

8*8 = 64

Answer:

u need to breath and calm down

Step-by-step explanation:

breath in and out for 5 sec u will feel better

Answer:

A) 0.08260 cubic meter

B) 106.554 grams

C) 1.044 Newton

Step-by-step explanation:

A) Volume = mass/density

Substituting the given values, we get -

Volume = [tex]\frac{76000}{0.92} =82608.69[/tex] cubic centimeter

[tex]= 0.08260[/tex] cubic meter

B) Mass = volume * density

Mass of air =

[tex]= 0.08260 * 1.29 \\= 0.106554\\[/tex]Kilogram

[tex]106.554[/tex] grams

C) Buoyant force = density * acceleration due to gravity * Volume

Buoyant force due to air  =

[tex]0.08260 * 9.8 * 1.29 \\1.044[/tex]Kg-m/s or Newton

Answer: D. The ratio of a circle's circumference to its diameter

Step-by-step explanation:

Pi is the ratio of the circumference of a circle to its diameter which means that we get pie by dividing the circumference by the diameter. This relationship is true regardless of the size of the circle because the relationship between the circumference and the diameter does not change regardless of size.

Pi is very useful when calculating measures related to circles such as area and circumference. It also comes in handy for shapes that have circles in them such as cones.

Answer:

100 cubic inches

Step-by-step explanation:

If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.

Find how many cubic inches are left for lemonade by finding the volume

Use the volume formula, V = lwh

V = lwh

V = (5)(5)(4)

V = 100

So, there are 100 cubic inches left for lemonade

Answer:

8,138.88 mm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

π = 3.14

Radius, r = 9 mm

Height, h = 32 mm

Volume of a cylinder = πr²h

= 3.14 × (9 mm)² × 32 mm

= 3.14 × 81 mm² × 32 mm

= 8,138.88 mm³

Volume of a cylinder = 8,138.88 mm³

Quantity of pepper that will fit in the shaker = 8,138.88 mm³

Answer:

x<-1

Step-by-step explanation:

I think and hope it helps

Answer:

12:06

Step-by-step explanation:

Gwendolyn Logan is not happy with you cheating.

Answer: At 12:06 their went raid

AStep-by-step explanation:

I'm sorry im just doin my job.

gwendell briggs

avbc

b

Answer:

13

Step-by-step explanation:

Answer:

its the last one, answer D.

Step-by-step explanation:

Answer:

75ft

Step-by-step explanation:

We are to find the maximum height reached by the ball. This is expressed as;

H = u²sin²Ф/2g

u is the initial velocity = 80 ft./s.

Ф is the angle = 60degrees

g is the acceleration due to gravity = 32ft/s

Substitute

H =80²sin²60/2(32)

H = 6400sin²60/64

H = 100 (0.8660)²

H = 100*0.749956

H = 74.9956

H ≈ 75ft

Hence the ball has travelled 75ft apprximately

Answer:

9.04

Step-by-step explanation:

18.09÷2=9.045

Rounded to the nearest cent 9.04

Answer:

[tex]v(t) = 4(t -7)(t +1)[/tex]

Step-by-step explanation:

Given

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Required

Rewrite in a different form

To write in a factored form, we have:

[tex]v(t) = 4t^2 - 24t - 28[/tex]

Expand

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

Factorize

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

Factor out t + 1

[tex]v(t) = (4t -28)(t +1)[/tex]

Factorize 4t - 28

[tex]v(t) = 4(t -7)(t +1)[/tex]