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2 years ago

Solve the following equation. Then place the correct number in the box provided. 2(x + 1 ) - 3(x + 5) ≥ 0

Mathematics

1 answer:

larisa86 [58]2 years ago

5 0

Answer:

Step-by-step explanation:

2x+2-3x-15>0

-x+13>0

-x>0-13

x>-13/-1

x>13

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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i

Nata [24]

Answer: 42.25 feet

Step-by-step explanation:

We know that after "t" seconds, its height "h" in feet is given by this function:

$h(t) = 52t -16t^2$

The maximum height is the y-coordinate of the vertex of the parabola. Then, we can use the following formula to find the corresponding value of "t" (which is the x-coordinate of the vertex):

$x=t=\frac{-b}{2a}$

In this case:

$a=-16\\b=52$

Substituting values, we get :

$t=\frac{-52}{2(-16)}\\\\t=1.625$

Substituting this value into the function to find the maximum height the ball will reach, we get:

$h(1.625) = 52(1.625) -16(1.625)^2\\\\h(1.625) =42.25\ ft$

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2 years ago

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Classify this triangle by its sides and angles.

Eddi Din [679]

Answer:

Step-by-step explanation:

its A)

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2 years ago

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Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the co

antiseptic1488 [7]

This dress will be sold in the boutique for $6,716.25.

<h3><u>Price calculation</u></h3>

Given that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:

(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X
((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X
(1800 + 2205 + 720 + 648) x 1.25 = X
5373 x 1.25 = X
6,716.25 = X

Therefore, this dress will be sold in the boutique for $6,716.25.

Learn more about price calculation in brainly.com/question/14695611

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2 years ago

Can y'all just please go help me on the ones I've posted:(

DIA [1.3K]

Answer:

YEah sure!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

help me too like im doing a test rn

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2 years ago

PLEASE HELP ASAP!!! URGENT

neonofarm [45]

Answer:

1) $\frac{\sin x}{1-\cos x} = \csc x + \cot x$

2) $\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}$

3) $\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}$

4) $\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}$

5) $\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}$

6) $\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}$

7) $\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}$

Step-by-step explanation:

Now we proceed to show all steps needed to demonstrate the trigonometric identity:

1) $\frac{\sin x}{1-\cos x} = \csc x + \cot x$ Given.

2) $\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}$ Identities for cosecant and cotangent functions.

3) $\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}$ $\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}$

4) $\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}$ Existence of additive inverse/Modulative property.

5) $\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}$ Fundamental trigonometric identity.

6) $\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}$ Factorization.

7) $\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}$ Existence of additive inverse/Modulative property/Result.

5 0

2 years ago