how many ways are there to arrange the letters in intelligent with at least 2 consecutive pairs of identical letters? (e.g. lliintegen but not llntegenii)

The values of the trigonometric ratios sec θ and cot θ are:

sec θ = -13/12

cot θ = 12/5

There are three main trigonometric ratios which are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are told that sin θ = -5/13

Using Pythagoras theorem, we have that:

Adjacent side = √(13² - 5²)

Adjacent side = √144 = 12

Thus:

cos θ = -12/13

sec θ = 1/cos θ

Thus:

sec θ = 1/(-12/13)

sec θ = -13/12

1/ tan θ = cot θ

tan θ = sin θ/cos θ

tan θ = (-5/13)/(-12/13) = 5/12

cot θ = 1/(5/12) = 12/5

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Answer:

D) same side interior angles are supplementary

Step-by-step explanation:

In the attachment, yellow is what we're given and need to prove.

Green are the 2 angles that are congruent.

Blue are the 2 angles that we are given that are supplementary, with the reason that 2 angles forming a linear pair sum to 180 degrees.

Red are the 2 angles that are supplementary also, but have to find the reaosn.

We can use process of elimination as one way.

Option A is incorrect because we can see that the red angles aren't vertical.

Option B and C are incorrect because the statement isn't asking for congruency, it's asking for supplementary angles.

Option D is correct because it has to do with supplementary angles.

Also, these 2 angles are supplementary because they are same side interior angles with a transversal cutting through the 2 parallel lines.

Thus, option D is correct.

Hope this helps! :)

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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The first five months Paul paid  and in the next seven months he paid 24.

Discounts are defined as lowered prices or the sale of an item for less than it would typically cost. The fundamental formula for calculating a discount is to multiply the original price by the given percentage rate in decimal form. We must deduct the discount from the original price to determine the item's sale price. A discount is an amount that is subtracted from the regular price of an item.

Paul represent his plan in the form of equation:

\(5 x+7(x+8.50)=245.50\)

Where x  is an amount for the first \(5\) months that is paid by Paul after the discount and \((x+8.50)\)  is an amount for the next \(7\) month after discount.

\(&\Rightarrow \quad 5 x+7 x+59.50=245.50 \\&\Rightarrow \quad 12 x=186 \\&\Rightarrow \quad x=\frac{186}{12} \\&\Rightarrow \quad x=15.50\end{aligned}\)

For the next 7 month:

\((x+8.50)=(15.50+8.50)=\$ 24\)

Therefore, The first \(5\) months Paul paid $ 15.50, and in the next \(7\) months he paid $ 24.

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The location of the values square root of 11, square root of 8, and twenty two ninths on the number line is illustrated below.

It should be noted that a number line simply means a straight line that serves as an abstraction for real numbers.

It should be noted that square root of 11 will be 3.316. The square root of 8 is 2.83 and twenty two ninths on the number line will be around 20.22.

This is important to know the place where each falls on the number line.

Note that an overview was given.

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Step-by-step explanation:

If Kneaders in Lehi sold 4000 rolls last year and expects a 22% increase in sales this year, the number of rolls they will bake this Thanksgiving can be calculated as follows:

Calculate the 22% increase in sales:

22% of 4000 = 0.22 x 4000 = 880

Add the increase to last year's sales to get the total expected sales this year:

4000 + 880 = 4880

Therefore, Kneaders in Lehi will bake approximately 4880 rolls this Thanksgiving rounded to the nearest whole roll.

Answer:

4,880 rolls, see explanation below :)

Step-by-step explanation:

1.22(4000)= 4,880

and you instantly get your answer.

if you don't understand I basically did 1.22 times 4000 and got 4,880.

Formula: X + %increase/decrease x orginal amount/amount sold last year of rolls, (we can assume there is an invisible 1 in front of the x)

Basically Everything Behind This, Kind of (sorry I'm not the best explainer! :( ;

Here in this case 22% as a decimal is 0.22, how we get to a decimal from a percent: 22 divided by a 100= 0.22. and we got the decimal for 22%!

So X + 0.22= 1.22, and remember the X has an invisible 1 in front of it. so 1 + 0.22= 1.22 in other words.

Now the other value we have is 4000, so we multiply it by 1.22 and get 4,880. And this is how we got to our answer.

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.

Let N(t) be the number of bacteria after t hours.

Since the culture grows at a rate proportional to its size, we can write:

dN/dt = kN

where k is the proportionality constant.

This is a separable differential equation, which we can solve by separating the variables and integrating:

dN/N = k dt

ln(N) = kt + C

where C is the constant of integration.

To find the value of C, we use the initial condition that the culture initially contains 50 cells:

ln(50) = k(0) + C

C = ln(50)

Substituting C into the previous equation, we get:

ln(N) = kt + ln(50)

Taking the exponential of both sides, we obtain:

N = e\(^(kt + ln(50)) = 50e^(kt)\)

Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:

N(1.5) = 825

Substituting this into the previous equation, we get:

825 = 50\(e^(1.5k)\)

Taking the natural logarithm of both sides, we obtain:

ln(825/50) = 1.5k

k = ln(825/50) / 1.5

k ≈ 0.4427

Finally, substituting this value of k into the expression we obtained for N(t), we get:

N(t) = 50e\(^(0.4427t)\)

Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.

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Answer:

That angle looks like a reflex angle

Step-by-step explanation:

I think D is the answer, since Reflex angles are ALWAYS be more than 180 and less than 360

I hope this helps! So srry if its wrong

Answer:

Erich planted 7 seeds ...

he had to remove 17 plants ....

he expected to have less or equal 46 plants ...

Step-by-step explanation:

Look at keywords like remove ~ => which indicates that something is being subtracted

Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)

Answer: im pretty sure it is 3x and 13x

Step-by-step explanation:

pls mark brainlest

Answer:

Question 1)

\(\text{ Distance from A to the house is approximately 78.34 meters}\\\text{The height of the house is approximately 50.77 meters}\)

Question 2)

\(\text{ Part A) \cos(x)=\frac{12}{13}} \\ \text{ Part B) \sin(90-x)=\frac{12}{13} }\)\(\text{ Part A) }\\\cos(x)=\frac{12}{13}\\\\\text{ Part B)}\\\sin(90-x)=\frac{12}{13}\)

Step-by-step explanation:

Question 1)

Please first reference below for the image.

Also recall the basic trigonometric functions with SohCahToa.

Part 1)

In order to find the distance, we will need to find the value of \(x\). However, to do so, we must find the value of \(c\) first.

First, we will need to find BM. We can use the smaller triangle. BM is opposite of the smaller triangle, and we already know that the hypotenuse is 20 meters. So, we can use sine:

\(\sin(A)=\frac{\text{opp}}{\text{hyp}}\)

Substitute 32° for A and 20 for the hypotenuse. Our BM is our opposite, so substitute BM for opposite. This yields:

\(\sin(32)=\frac{BM}{20}\)

Solve for BM. Multiply both sides by 20:

\(BM=20\sin(32)\)

Don't approximate just yet. In order to make our answer to most precise, we will approximate at the very end.

So, BM is 20sin(32) meters. BM of the smaller triangle is the same as BM of the larger triangle, so BM of the larger triangle is also 20sin(32). Now, we can find the value of \(c\). However, we will first need to find the value of \(\angle MBT\). To do so, notice that \(\angle ABM, \angle MBT, \text{ and } 40\textdegree\) form a straight angle. Therefore:

\(\angle ABM+\angle MBT+40^\circ=180\)

Simplify:

\(\angle ABM+\angle MBT=140\)

So, we will need to find \(\angle ABM\), which is \(\angle B\) of the smaller triangle. So, we can use the trig functions again. Since we now know BM, we can use cosine. So:

\(\cos(B)=\frac{\text{adj}}{\text{opp}}\)

Substitute 20sin(32) for the adjacent and 20 for the opposite. So:

\(\cos(B)=\frac{20\sin(32)}{20}\)

To solve for B, take the inverse cosine of both sides. Evaluate:

\(B=\cos^{-1}(\frac{20\sin(32)}{20})=58^\circ\)

Therefore, we can substitute 58 for \(\angle ABM\) and solve. This yields:

\(58+\angle MBT=140\\\Rightarrow\angle MBT=82^\circ\)

So, we can now find c. We know BM and that \(\angle B\) (of the larger triangle) is 82°. To find c, then, we will use cosine. So:

\(\cos(B)=\frac{\text{adj}}{\text{hyp}}\)

Substitute 82 for B, 20sin(32) for the adjacent BM, and c for the hypotenuse. So:

\(\cos(82)=\frac{20\sin(32)}{c}\)

Solve for c by cross-multiplying:

\(c=\frac{20\sin(32)}{\cos(82)}\)

Now, finally, we can solve for \(x\). We know \(c\) (the hypotenuse) and we want to find \(x\). We also have an angle of 40°. So, we can use cosine:

\(\cos(40)=\frac{x}{c}\)

Multiply both sides by \(c\):

\(x=c\cos(40)\)

Substitute \(c\):

\(x=\frac{20\sin(32)\cos(40)}{\cos(82)}\)

Approximate:

\(x\approx58.34\text{ meters}\)

However, this is only \(x\). The distance from the house is \(x+20\). Therefore, the distance from the house is:

\(d\approx58.34+20\approx78.34\text{ meters}\)

Part 2)

We want to find the height h. Since we already determined \(c\), we can use it to find \(h\). We will use the sine function this time:

\(\sin(40)=\frac{h}{c}\\\Rightarrow h=c\sin(40)\\\Rightarrow h=\frac{20\sin(32)\sin(40)}{\cos(82)}\\\Rightarrow h\approx48.95\)

However, we will still need to add the eye level of 182 centimeters or 1.82 meters. So:

\(h\approx48.95+1.82\approx50.77\text{ meters}\)

The height of the house is approximately 50.77 meters.

Question 2)

We know that: \(\tan(x)=\frac{5}{12}\)

Remember that tangent is the opposite side over the adjacent side. So, let's find the hypotenuse. We can us the Pythagorean Theorem:

\(a^2+b^2=c^2\)

Substitute 5 for a and 12 for b. Solve for c:

\(c^2=(5)^2+(12)^2\\\Rightarrow c^2=25+144\\\Rightarrow c=\sqrt{169}=13\)

So, our hypotenuse is 13, our adjacent is 12, and our opposite is 5. We can now solve for the others:

A)

\(\cos(x)=\frac{\text{adj}}{\text{hyp}}\\\Rightarrow\cos(x)=\frac{12}{13}\)

B)

\(\sin(90-x)=\cos(x)\\\text{Note: This is a cofunction identity}\\\Rightarrow\sin(90-x)=\frac{12}{13}\)

Note: The document I found said \(\sin^2(90-x)\). Anyways, it will just be: \(\sin^2(90-x)=\frac{144}{169}\)

Answer:

Hamburger buns: 7

Hot dog buns- 4

what does it mean by system?

The cοrrect answer is: The pοpulatiοn must be apprοximately nοrmal οr the sample size must be greater than 30.

The standard deviatiοn is a statistical measure οf the vοlatility οr dispersiοn οf a grοup οf numerical values. The values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, when the standard deviatiοn is lοw, whereas when it is high, the values tend tο be clοser tο the mean.

Standard deviatiοn is mοst usually represented in mathematical equatiοns and literature by the lοwercase Greek symbοl sigma, which represents fοr the pοpulatiοn standard deviatiοn, οr by the Rοman letter s, which stands fοr the sample standard deviatiοn. Sοmetimes, standard deviatiοn (SD) is used tο refer tο it.

Tο cοnstruct a cοnfidence interval fοr a pοpulatiοn mean, the sample must be selected randοmly frοm a pοpulatiοn that is apprοximately nοrmal οr the sample size must be sufficiently large (greater than οr equal tο 30) regardless οf the pοpulatiοn distributiοn. Additiοnally, the sample standard deviatiοn shοuld be used tο estimate the pοpulatiοn standard deviatiοn if the pοpulatiοn standard deviatiοn is unknοwn.

Sο, the cοrrect answer is: The pοpulatiοn must be apprοximately nοrmal οr the sample size must be greater than 30.

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In school suspension

Answer:

is there multiple choice answers?

Step-by-step explanation:

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer: √177

Step-by-step explanation:

6²+9²=c²

36+81=c²

117=c²

√117=√c²

√177 = c

(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)

Answer:

im sorry I just need to us ur page to right on

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18

Answer:

10.6

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

You can simplify this, but not "solve" it.  Subtracting 5 from both sides yields

-3x + 6y = -2.

You could graph this easily by finding the x- and y-intercepts.  To find the x-intercept, set y = 0:  -3x + 6(0) = -2.  Then x = 2/3 and the x-intercept is (2/3, 0).

To find the y-intercept, set x = 0:  -3(0) + 6y = -2, or y = -1/3 => (0, -1/3)

Plot these two intercepts and draw a line through them.

The critical points are (0, 0) and (1/2, 1/8).

To find the critical points of the function f(x, y) = 8x^3 + y^3 - 6xy + 2, we need to find the points where the partial derivatives of f with respect to x and y are equal to zero.

a.) Finding the critical points:

∂f/∂x = 24x^2 - 6y = 0

∂f/∂y = 3y^2 - 6x = 0

From the first equation, we have:

24x^2 - 6y = 0

4x^2 - y = 0

y = 4x^2

Substituting y = 4x^2 into the second equation:

3(4x^2)^2 - 6x = 0

48x^4 - 6x = 0

6x(8x^3 - 1) = 0

This gives two possible cases:

6x = 0, which implies x = 0.

8x^3 - 1 = 0, which implies 8x^3 = 1 and x^3 = 1/8. Solving this equation, we find x = 1/2.

For x = 0, we can substitute it back into y = 4x^2 to find y = 0.

So, the critical points are (0, 0) and (1/2, 1/8).

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Answer:

C) 3.5 hours

Step-by-step explanation:

30 minutes is a half of an hour.

So that would be seven halves of an hour.

If we multiply the amount of halves by the amount of day late we get our answer.

0.5 x 7 = 3.5

Or we could simply add 0.5 seven times.

Let's look at an example:

2.24 x 21.6

\(2.24\\ 21.6\\ ______\)

Do normal multiplication and get

48384   This is not correct, until we put the decimals in. To know how to do this, count the number of decimal spaces from the factors. In 2.24, there are 2, because .24. In 21.6 there are 1 because of .6. This mean three places, so 48384 becomes

48.384

~theLocoCoco

Answer: The store must sell 40 bikes.

Step-by-step explanation:

y=60x+2400

y=120x

120x=60x+2400

-60x on both sides

60x=2400

divide 60 on both sides

2400/60=40

x=40  

Answer:

50

Step-by-step explanation:

Alright, so two of the points are: (0,25) (1,75)

Now we line them up:

(0,25)

(1, 75)

And, 0 to 1 has "1" as a difference.

That'll go on the bottom.

25 to 75 has a "50" difference.

That goes on top.

And then we get the slope of 50.

Hope this helped! :)

Answer:

Slope = 50

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\)

(1,75) (2,125)

125 - 75/2-1

125-75 = 50

2-1 = 1

50/1 = 50

When the nursery is recording the heights of its available fruit trees. the display that can be used to represent the data, is A. Bar chart, because tree height is numerical.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

When displaying the distribution of data points or comparing metric values across several subgroups of your data, a bar chart is employed. A bar graph allows us to determine which groupings are most numerous or prevalent as well as how different groups stack up against one another.

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Answer:

The answer would be B.

Step-by-step explanation:

Since we are doing heights, it would make since to have a box plot, since that includes minimum, maximum, median, Q1, & Q2. :)

that makes it easier to record height

Mary's living room is rectangular and measures 27 feet by 36 feet.  Mary has walked 90 feet in total.

Mary strides the 27-foot length of the main room. She then does a 180-degree turn and walks the 36-foot breadth. After another 27 feet, she finally makes her way back to the corner where she began.

She has therefore traveled the following distance:

90 feet is equal to 27 feet in length, 36 feet in width, and another 27 feet for the return, i.e,

27 feet (length) + 36 feet (width) + 27 feet (return length) = 90 feet

Mary has now covered a total distance of 90 feet.

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