Which inequality represents the number line below?

x = 3
x < 3
x > 3
x _> 3

Answer:

A

Step-by-step explanation:

edg2021

One method to find angle B is A. use the Pythagorean theorem to find BC, then solve the equation tan(B)=8/BC.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a right angled triangle ABC with the hypotenuse being AB and the legs AC is the base and BC is the height.

Given AC = 8 and AB = √89.

We need to find the measure for angle B.

Either we can find angle B using Sin B = Opposite side / hypotenuse

Sin B = 8 / √89

But this is not in the option.

So first find the length of BC using the Pythagoras Theorem.

(BC)² = (AB)² - (AC)²

         = (√89)² - (8)²

         = 25

BC = √25 = 5

We get the opposite side and adjacent side with respect to angle B.

Tan B = AC / BC = 8 / 5 = 1.6

B = 57.99° ≈ 58°

Hence the approximate measure of angle B is 58°.

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Step-by-step explanation:

Slope = -5/5 = -1

Answer:

m=-1

Step-by-step explanation:

Slope is equal to the change in

y, over the change in x, (or rise over run)

pick any two points on the line to apply to this formula.

m= 3-(2) / 2-(3)

m=-1

7 liter = 7000000 cubic millimeters

Answer:

3 to 9 I guess...................

Answer:

8 hours

Step-by-step explanation:

20÷5 = 4

4×2 = 8

Hope this Helps!

:)

Answer:

there will be 5 busses or 4.8 needed

Answer:

I like looking and drawing a penguins

Step-by-step explanation:

And no 1-5 is not 3, it is -4

Answer: 3, -4

Step-by-step explanation: gust look harder

Answer:

8P

Step-by-step explanation:

Answer:

8p

Step-by-step explanation:

9р – 2р +р

7p+p

8p

Answer:

Well on my end i got 47.12, with pi included

Step-by-step explanation:

The surface area of the cylinder with the diameter 2cm and height 15cm  is [tex]100.48 \; cm^2[/tex]

Calculation to find Surface area of cylinder:

Given the diameter of the cylinder is 2cm and height  15cm

Formula :

The surface area of the cylinder =[tex]2\pi r^2+2\pi rh[/tex]

where 'r' is the radius and 'h' is the height of the cylinder

Diameter = 2cm

[tex]radius =\frac{diameter }{2} =\frac{2}{2} =1[/tex]

radius = 1cm and height is 15 cm

the value of pi is 3.14

Substiute all the values

[tex]SA = 2\pi r^2+2\pi rh\\SA=2(3.14)(1)^2+2(3.14)(1)(15)\\SA=6.28+94.2\\SA=100.48 cm^2[/tex]

The surface area of the cylinder with the diameter 2cm and height 15cm  is [tex]100.48 \; cm^2[/tex]

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ANSWER:

The Slope to your answer is 4/3

Answer:

6 Students

Step-by-step explanation:

10% of 60 is 6.

Answer:

x=-5 y=0

x=0 y=1

x=5 y=2

x=10 y=3

Answer:

(4,0)

Step-by-step explanation:

Answer:

D. Hyperbola

Step-by-step explanation:

I put B but it was wrong

D is the right answer

The given equation is represent a ''Hyperbola''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 9x² - 5x - 3y² - 2y + 4 = 0

Now, We know that;

The standard form of the equation is,

⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0

For Hyperbola, The condition is,

⇒ h² > ab

For Ellipse ,  The condition is,

⇒ h² < ab

Here, We have;

⇒ h = 0

⇒ a = 9

⇒ b = - 3

⇒ ab = 9 x - 3 = - 27

⇒ h = 0

Hence, We get;

⇒ 0 > - 27

⇒ h² > ab

Thus, This equation is represent a ''Hyperbola''.

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Answer:

Here is the answer

Step-by-step explanation:

The highest possible point for the fireworks to explode is to be considered as the 154 feet.

Since the equation is

[tex]h = -16t^2 + 96t 10[/tex]

Now based on this, we have to determine the axis of symmetry

So,

[tex]t = -b \div 2a\\\\= -96 \div 32[/tex]

= 3

Now

[tex]= -16(3)^2 + 96(3) + 10[/tex]

= 154 feet

hence, The highest possible point for the fireworks to explode is to be considered as the 154 feet.

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Answer:

5n + 9 = 3

I hope im right!!

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

Answer:

The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]

[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]

[tex]A(t) = 1000(1.004)^{12t}[/tex]

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]

You will have $1,100.55 in the account after 2 years.

Answer:

24

Step-by-step explanation:

Answer:

[tex] log(11 {x}^{2} )[/tex]

Step-by-step explanation:

[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]

The Equivalent value of 2 log x + log 11 is log(11x²).

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.

We have to find the value of 2 log x + log 11.

Using the property

log a + log b = log (ab)

and, 2 log a = log a²

So, 2 log x + log 11

= log x² + log 11

= log( x² × 11)

= log(11x²)

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Step-by-step explanation:

Amplitude of the sine function is 1.

So if its multiplied by -3, its amplitude is 3 (its always positive).

The midline of sin x is 0.

The midline of sin 2x is also 0.

The midline of -3*sin 2x is also 0.

So if you subtract this function by 5, then the new midline is -5.

Answer:

Hope this helps

Step-by-step explanation:

The range of the function is the set of all positive real numbers, or y > 0.

The range of a function is the set of all possible values that the function can output.

The function is given in the question as:

y = √(x+7+5)

In the case of the function y = √x + 7 + 5, the range is the set of all possible values of y that can be obtained by substituting different values of x into the function.

To find the range of this function, we need to consider the values of x that can be used in the function. The square root of a number must be non-negative, so x must be greater than or equal to 0.

In other words, the domain of the function is x ≥ 0.

We can now substitute different values of x into the function to find the range.

For example, if x = 0, then y = √0 + 7 + 5 = 7 + 5 = 12. If x = 1, then y = √1 + 7 + 5 = 8 + 5 = 13. And so on.

We can see that as we increase the value of x, the value of y also increases. This means that the range of the function is the set of all positive real numbers, or y > 0.

Therefore, the range of y = √x + 7 + 5 is y > 0.

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Answer:  b - edge

Step-by-step explanation:

Answer:1/24

Step-by-step explanation:

Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24

Now, the number of chances where we get the rolling sum as 12 is only one. (

Therefore, the probability of getting sum 12 is 1/24

Answer:

1/36

Step-by-step explanation:

For the acellus people