To multiply two numbers using scientific notation, you would ____ the exponents.

Answer:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

Step-by-step explanation:

Given

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

Required

Simplify

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

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Considering the denominator of the first bracket

[tex]1 - cos^2x[/tex]

This can be rewritten using different of two squares as follows:

[tex](1 - cosx)(1 + cosx)[/tex]

So, [tex]1 - cos^2x[/tex] can be replaced with [tex](1 - cosx)(1 + cosx)[/tex] in the given expression.

Also, from trigonometry identity

[tex]tan\frac{x}{2} = \frac{1 - cos x}{sin x}[/tex]

So, [tex]tan\frac{x}{2}[/tex] can be replaced with [tex]\frac{1 - cos x}{sin x}[/tex] in the given expression

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[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex] becomes

[tex](\frac{sinx}{(1-cosx)(1+cosx)}) * \frac{1 - cos x}{sin x}[/tex]

[tex](\frac{sinx * (1 - cos x)}{(1-cosx)(1+cosx) * sin x})[/tex]

Cancel out similar expressions

[tex]\frac{1}{1+cosx}[/tex]

The expression cannot be further simplified.

Hence:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

The simplified form of the expression :

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

We have some trigonometric formula as:

[tex]sin2x=2sinx= cosx\\2cos^{2} x=1+cos2x[/tex]

We have the expression

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} \\=\frac{sinx}{sin^{2} x} .tan\frac{x}{2} \\=\frac{1}{sin x} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .\frac{sin\frac{x}{2}}{cos\frac{x}{2}} \\=\frac{1}{2cos^{2} \frac{x}{2}}\\=\frac{1}{1+cos{x} }[/tex]

Therefore, the simplified form of the expression is:

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

Learn more:https://brainly.com/question/13126358

Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

Answer:

True

Step-by-step explanation:

True because if AC = BC, then the triangles are the same.

The side AC is congruent to the side BC the statement is true.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

In the given figure we can see that the ∠ACD ≅ ∠BCD and AB ⊥ CD mean that the line CD is dividing the line AB into two equal parts.

Therefore, the side AC is congruent to the side BC the statement is true.

Learn more about congruency at

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Answer:

It will also be 35

Step-by-step explanation:

Answer:

Measure of angle 4 will also be 35°.

REASON: Corresponding angles are congruent.

Answer:

D

Step-by-step explanation:

Divide  14 into 6

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) The population is the 2,668 people who were tracked from early childhood to adulthood.

(B) The sample comprised all 13-year olds within the population. Since the members of the population started out as kids (and later became adults), the sample was inclusive of all 2,668 individuals but only at the age of 13. That is where the focus was; at the age of 13.

The study then proceeded to divide them into two groups - the experimental group (13 year olds who were frequent targets of bullies) and the non-experimental group (13 year olds who were not frequent targets of bullies).

(C) The variables in this study are:

- 13 year olds who were frequent targets of bullies

- 13 year olds who were not frequent targets of bullies

- Adults (from the same population who were once 13 year olds) with depression

- Adults (from the same population who were once 13 year olds) without depression.

NOTE HOWEVER that the degree of bullying each teenager faced and the magnitude of depression each adult faced, can be gotten from the above variables; when they assume a figure or number which can be high, low or medium.

Answer:

x is undefined

Step-by-step explanation:

Simplify the expression, we get

2x-6=2x-5

This will not work

There are no solutions

Answer:

Step-by-step explanation:

Given the expression 2y+13=y+5

To get the value of y, we willow the following steps:

Subtract 2y to both sides:

2y+13-2y = y+5-2y

13 = -y+5

subtract 5 from both sides:

13-5 = -y+5-5

8 =  -y

-y = 8

multiply both sides by -1

-(-y) = -8

y = -8

Hence the value of y = -8 not -14

So NO,if you continue to solve, y would not be -14

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

Answer:

43

Step-by-step explanation:

Answer:

$5.81

Step-by-step explanation:

$0.63×4=$2.52

$8.33-$2.52=$5.81

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!

Answer:

I got it right on edge 2020/2021

Step-by-step explanation:

m=5

b=-4

Answer:

4630/130=35.6 so just round to 36 with a remainder of a few shirts

Step-by-step explanation:

Answer:

a.  P(x = 3) = 0.061313

b. The expected number of radio blackouts = 4

c.  It is not possible to determine the next radio blackout

d. P(x = 4) = 0.19537

Step-by-step explanation:

From the given information:

Using a Poisson process to model the phenomenon:

Since minor radio blackouts occur, on average, twice per year.

Then:

[tex]\lambda = 2 \ years[/tex]

From question (a)

time t = 1/2 (i.e half of the year)

Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.

Then:

[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]

[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]

P(x = 3) = 0.061313

b).

The number of radio blackouts  we expect to see in two years can be estimated as follows:

we know that:

t = 2 years

E(x) = λ × t

E(x) = 2 × 2

E(x) = 4

The expected number of radio blackouts = 4

c).

The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:

Here, the time (t) = ???

Thus:

P(x =1) = 0.5

[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.

d)

The probability that the time to the 4th blackout is at most 2 years can be computed as follows:

Here;

x =4 , t = 2

Thus:

[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]

P(x = 4) = 0.19537

Answer:

your not stupid don't doubt your self

Answer:

answer is 10....that was simple

Step-by-step explanation:

as we know both the Δ were congruent, then CPCT will also be equal

angle b = angle q

that means 3v + 4 = 8v - 6

6 + 4 = 8v - 3v

10 = 5v

10/5 = v = 2

put the value of v = 2 and u'll get 10

Answer:

[tex]Probability = 0.023[/tex]

Step-by-step explanation:

Given

Represent the given probability with P(Gene)

[tex]P(Gene) = 39\%[/tex]

[tex]Children = 4[/tex]

Since all 4 children get the disease, the required probability is calculated as thus:

[tex]Probability = P(Gene)^4[/tex]

[tex]Probability = 39\%^4[/tex]

Convert % to decimal

[tex]Probability = 0.39^4[/tex]

[tex]Probability = 0.02313441[/tex]

[tex]Probability = 0.023[/tex] Approximated

Answer: 3x-3 needs to be done first, and then 4x+7, and then multiply and whatever you get will be your answer

Step-by-step explanation:

Answer:

R stands for 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

A

Step-by-step explanation:

Answer:

Rise over run.

Step-by-step explanation:

If you have learned rise over run you will get it.

Answer:

$25,886.70

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

The expression having two terms is called binomial expression.

we can write binomial expression by using two terms. For example: a+b , 2x+5, etc.

Answer:

When the coefficient (number before the variable) is negative, you have to switch the inequality symbol after you divide.

Answer:

EDGE 2020

Step-by-step explanation:

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Answer:

Associative I believe

Step-by-step explanation:

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd