Imam makes bead bracelets. She can buy 12 beads for $2.04. How much does one bead cost?​

If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.

Recall the double angle identity for cosine:

cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)

It follows that

2 cos²(a) - 1 = -4/5   ==>   cos²(a) = 1/10   ==>   cos(a) = -1/√10

1 - 2 sin²(a) = -4/5   ==>   sin²(a) = 9/10   ==>   sin(a) = 3/√10

Then we find

1/cos(a) = sec(a) = -√10

1/sin(a) = csc(a) = √10/3

sin(a)/cos(a) = tan(a) = -3

1/tan(a) = cot(a) = -1/3

Answer:

$5900

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5000

r = 3% = 0.03

t = 6

Step 2: Find Interest

Answer:

\( \frac{1}{9 - 4i} \)

I'm not sure

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

\(H_{0}: p \geq 0.16\)

Testing this hypothesis, means that the alternate hypothesis is:

\(H_{a}: p > 0.16\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.16 is tested at the null hypothesis:

This means that \(\mu = 0.16, \sigma = \sqrt{0.16*0.84}\)

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that \(n = 200, X = \frac{24}{200} = 0.12\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}\)

\(z = -1.54\)

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Answer:

x=-1

Step-by-step explanation:

The lines stand for absolute value ( how far a number is from 0), so each number should be a positive, then you just solve for x. Isolate x, then divide on both sides, and you should get -x=1, which is equal to x=-1.

Answer:

A

\(f(x + h) = 21x -x^2 -2xh+ 21h+h^2\)

B

\(f(x-h)-f(x) = 21h+h^2 -2xh\)

C

\(\frac{f(x-h)-f(x)}{h} = 21+h -2x\)

Step-by-step explanation:

From the question we are told that

   The equation given is

                    \(f(x) = x (21 - x )\)

Considering  A

      \(f(x + h) = (x + h) (21 - (x + h))\)

      \(f(x + h) = (x + h) (21 - x - h)\)

      \(f(x + h) = 21x -x^2 -2xh+ 21h+h^2\)

Considering B

       \(f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -[ x(21 -x)]\)

        \(f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -21x + x^2\)

       \(f(x-h)-f(x) = 21h+h^2 -2xh\)

Considering C

       \(\frac{f(x-h)-f(x)}{h} = \frac{21h+h^2 -2xh}{h}\)  

       \(\frac{f(x-h)-f(x)}{h} = \frac{h(21+h -2x)}{h}\)

       \(\frac{f(x-h)-f(x)}{h} = 21+h -2x\)

Answer:

5

Step-by-step explanation:

7.5/1.5=5

Answer: The answer is 5

Step-by-step explanation: I have my ways ;>

Answer:

Since the total population will be 9.4B people

W + A+ A =9.4B

W = 0.6B + A/4  

A+ 2.9B = As

A - 2.9B + As + 0.6 + A/4 = 9.4B

(9/4)*A= 11.7B

A = (4/9)*11.7B=5.2B

W = 0.6B + (5.2B/4) = 1.9B

A = 5.2B - 2.9B = 2.3B

The pattern is

632, ------ , -------- , 602, ---------

Let us find the difference between 632 and 602, then divide it by 3 because there are 3 terms

632 - 602 = 30

Then to get the 2nd term subtract 10 from 632

632 - 10 = 622

To get the 3rd term subtract 10 from 622

622 - 10 = 612

612 - 10 = 602

602 - 10 = 592

The missing terms are 622, 612, 592

Answer:

Hello, The answer to your question is,

\(x=\) −\(\frac{2}{t^3}\)

hope this help :)
(correct me if i am wrong and im sorry)

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

28 x 28 = area of square - pi14^2

Answer: 1085

Step-by-step explanation:

Answer:

\(\boxed{\mathrm{x = 43.8 \ degrees}}\)

Step-by-step explanation:

Let the angle be x

Tan x = \(\frac{opposite}{adjacent}\)

Where opposite = 48, Adjacent = 50

Tan x = \(\frac{48}{50}\)

Tan x = 0.96

x = \(Tan ^{-1}0.96\)

x = 43.8 degrees

Answer:

\(\boxed{43.8 \°}\)

Step-by-step explanation:

Use tangent since hypotenuse length is not given.

\(tan \theta = \frac{opposite}{adjacent}\)

\(tan(x)=\frac{48}{50}\)

\(x=tan^{-1}(\frac{48}{50} )\)

\(x=43.8\)

analyze problme

the pack has 52 cards

four kings and four queens

rest will be detonated as x

The first card is already a king, so one king is deducted from the pile

so now there is 51 cards, so

4/51 is the chance you will draw a king

Step-by-step explanation:

The measure of angle YPT is 90°. YPT is a right angle.

Answer:

z = -13.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4.9 + z = -9

Step 2: Solve for z

Step 3: Check

Plug in z into the original equation to verify it's a solution.

Here we see that -9 does indeed equal -9.

∴ z = -13.9 is a solution of the equation.

Answer:

y = 1/4x - 7/2

Step-by-step explanation:

To answer this question, we have to use point-slope form:

y - y1 = m(x - x1)

Substitute the numbers into the variables:

y - (-4) = 1/4(x - (-2))

y + 4 = 1/4(x + 2)

y + 4 = 1/4x + 1/2

y = 1/4x - 7/2

To verify your answer, simply substitute the values into your equation:

-4 = 1/4(-2) - 7/2

-4 = -1/2 - 7/2

-4 = -8/2

-4 = -4

Answer:

Step-by-step explanation:

a) The second stop is the third floor:

The first stop is the first floor, so the probability of going up from the first floor is 3/4.

The next stop is the third floor, so the probability of going up from the second floor (which is the first floor in this scenario) to the third floor is 3/4.

The probability of both events happening is the product of the individual probabilities: (3/4) * (3/4) = 9/16.

b) The third stop is the fourth floor:

The first stop is the first floor, so the probability of going up from the first floor is 3/4.

The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.

The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.

The probability of all three events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) = 3/16.

c) The fourth stop is the first floor:

The first stop is the first floor, so the probability of going up from the first floor is 3/4.

The next stop is the third floor, so the probability of going up from the first floor to the third floor is 3/4.

The next stop is the fourth floor, so the probability of going down from the third floor to the fourth floor is 1/4.

The next stop is the first floor, so the probability of going down from the fourth floor to the first floor is 3/4.

The probability of all four events happening is the product of the individual probabilities: (3/4) * (3/4) * (1/4) * (3/4) = 9/64.

Answer:

x= 32

Step-by-step explanation:

To solve for x in the proportion, cross multiply.

\(\frac{4}{7} =\frac{x}{56} \)

224=7x

32=x

Answer:

\( \frac{4}{7} = \frac{x}{56} \)

7x=4×56

7x=224

x=224/7

x=32

hope it helps you

make me brainliest plz

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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The probability tree diagram of various possibilities is given:

Bag X = 20 counters

Bag Y = 16counters

(Refer to the image attached below)

So, tree diagram:

Bag X = 20 counters

Bag Y = 16counters

(Refer to the probability tree diagram given below)

Therefore, the probability tree diagram of various possibilities is given:

Bag X = 20 counters

Bag Y = 16counters

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The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Okay, here are the steps to find the probability the randomly selected pitcher is left-handed:

1) There are 1 left-handed starter, 4 right-handed starters, 2 left-handed relievers and 1 right-handed reliever.

2) In total, there are 1 + 4 + 2 + 1 = 8 pitchers.

3) Of the 8 pitchers, 1 + 2 = 3 are left-handed.

4) So the probability the randomly selected pitcher is left-handed = (3/8) = 3/8 = 0.375

Therefore, the probability that the randomly selected pitcher from the team is left-handed is 0.375.

Let me know if you have any other questions!

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Based on their unit rates (hourly rates), William earns $3.20 less per hour than Carson.

The unit rates can be determined as the quotients of the total earnings divided by the number of hours worked by each worker.

Total earnings in 21 hours = $451.50

The total number of hours worked = 21 hours

Hourly rate = $21.50 ($451.50 ÷ 21)

Hours (x)  Earnings (y)   Hourly Rate

   8             $146.40        $18.30 ($146.40 ÷ 8)

 32             $585.60      $18.30 ($585.60 ÷ 32)

 36             $658.80      $18.30 ($658.80 ÷ 36)

40             $732.00       $18.30 ($732.00 ÷ 40)

William's hourly rate = $18.30

Difference between Carson's and William's hourly rate = $3.20 ($21.50 - $18.30)

Thus, judging from their hourly rates, we can conclude that Carson earns more per hour than William.

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William's Earnings

Hours (x)  Earnings (y)

   8             $146.40

 32             $585.60

 36             $658.80

40             $732.00

The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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Answer: which tea bag is 60?

Step-by-step explanation:

Answer: ratio of black tea bags = 36, green bags = 24

Step-by-step explanation: first you add the ratio 6 and 4, which will give you ten, then you divide them consecutively by 10 and multiply by 60. this will give you 6/10 \(*\) 60 = 36 and 4/10 \(*\) 60 = 24.

I hpoe i have satisfied you with my answer

It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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Answer:

y = 28x + 112, 21 days

Step-by-step explanation:

y = 700

28x where x is the number of days it will take, plus the 112 pages she has already read

y= 28x + 112

700 = 28x +112

588 = 28x

x = 21

It will take the editor 21 days to proofread the manuscript

If an editor has already read 112 pages of the given manuscript then after solving equation 112 + 28x = 700 we found that it will take 21 more days for her to complete her proofreading.

An equation in one variable is a mathematical statement where one expression in one variable is equated to  zero or another expression in the same variable.

Let p and q be two constant numbers and y be an variable

then p y +q =0 is an equation in y and it can be solved as y = -q/p

We can also add or subtract same number from both sides or multiply both sides of any equation or divide both sides by same numbers in order to solve it.

Given that an editor needs to read a 700-page manuscript.

Total pages in the manuscript = 700

Her goal is to read 28 pages per day while she has already read 112 pages

Let she took x days to complete the book

Total pages read in x days = x* pages read per day = x*28 = 28x

Already read pages + pages read in x day must be equal to total pages of manuscript to complete her proofreading.

∴  112 + 28x = 700

Subtract 112 from both sides

⇒112+28x-112 =700-112

⇒28x = 588

⇒ x = 588/28 =21

x =21

After solving this equation we got that if she has already read 112 pages then it will take 21 days for her to complete her proofreading.

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