Calculate the value of this

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Answer:

Step-by-step explanation:

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

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Answer:

A. contract

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

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Answer:

I want to say B or D please tell me if I'm right lol

Answer:

D

Answer:

6/35

Step-by-step explanation:

3/7 : 2 1/2

2 1/2 = (2*2+1) / 2 = 5/2

3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

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

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer:

I think is C I hope is right

The correct expressions which are equivalent to the one below is,

⇒ 0

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 expression is,

⇒ log 1 × log 81

Now, We know that;

⇒ log 1 = 0

Hence, The correct expressions which are equivalent to the one below is,

⇒ log 1 × log 81

⇒ 0 × log 81

⇒ 0

Thus, The correct expressions which are equivalent to the one below is,

⇒ 0

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Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

square root 6

Step-by-step explanation:

Answer:

A. The others are equivalent to 7/8

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

12=100+0.3x

-100  -100                        subtract 100 both side

-88=0.3x                 divide -88 into 0.3

x=-293.3

Answer:

I think it

[tex]X1 = 1.333\\X2 = 1\\\\[/tex]