Which of the trinomials below is a perfect square of a binomial?

Answer:

plazzz get lost bro fast

Answer:

a

Step-by-step explanation:

Answer: (In order)

25/4 / 6 1/4 = 1

3 1/7 / 2/7 = 11

5/4 / 1/4 = 5

11 1/4 / 9/4 = 5

8 1/4 / 3/4 = 11

3 1/3 / 10/3 = 1

Step-by-step explanation:

Answer:

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}\)

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2}\)

Step 2: Determine Rule

If the highest power of x in a rational expression is the same both numerator and denominator, then the limit as x approached ∞ would be the highest term coefficient in the numerator divided by the highest term coefficient in the denominator.

Step 3: Identify

Numerator highest power: x²

Denominator highest power: 5x²

Step 4: Evaluate

Apply rule.

\(\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}\)

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e

Answer:

[6, 8).

Step-by-step explanation:

When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.

In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.

Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.

Applying internal notation, the range of this function is:

[6, 8).

Learn more about interval notation here:

1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.

2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.

Answer:

TU is XU

YW is SV

Y is V

hope that helps!!

Step-by-step explanation:

Answer:

The answer is (B) 3.63.

Step-by-step explanation:

The formula for the standard error of the mean is:

SE = σ/√n

where σ is the population standard deviation and n is the sample size.

In this case, we are given the sample standard deviation, which is an estimate of the population standard deviation. To estimate the standard error, we can use the sample standard deviation as an estimate of the population standard deviation:

SE = s/√n = 34.4/√90 ≈ 3.63

Therefore, the approximate value of the standard error of the sampling distribution is 3.63, rounded to two decimal places.

The answer is (B) 3.63.

Step-by-step explanation:

we have a rectangle, that is then cut in half diagonally into 2 right-angled triangles.

in our problem it does not matter which side is the larger and which is the shorter one, because the distance calculation for both cases involve one short and one long side. the sequence does not matter.

Mary walks one short and one large side to get to the opposite corner (from D to F) :

264 + 900 = 1,164 ft

Kate walks diagonally. and that diagonal is the Hypotenuse of the right-angled triangle with a short and a long side of the rectangle.

so, Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), and a and b are the legs.

in our case that means

diagonal² = 264² + 900² = 69,696 + 810,000 =

= 879,696

diagonal = sqrt(879,696) = 937.9211054... ft ≈ 938 ft

so, Kate walked

1,164 - 938 = 226 ft

less than Mary.

Answer:

\(f=12-\frac{t}{20}\)

Step-by-step explanation:

Two-variable equations/single-variable functions

When some variable depends in some way or another on another variable or variables, we say that it's a function of those other variables. In the simplest case, we can have a function of a single variable. The relationship "y is twice as big as x" describes y as a function of x, and we can express it with the function y = 2x. A graph of this function requires two dimensions, with one axis for each variable (see the first picture). Notice that while y is a function of a single variable, it's a part of an equation in two variables.

Three-variable equations/two-variable functions

Let's take a look at an equation of three variables - for this example, the equation \(-2x+y-z=0\).  Currently, this is an example of an implicit function; there's a relationship between the variables, but the equation's form doesn't favor any one in particular. To make this a function, we can add z to both sides, giving us the new equation:

\(z = -2x+y\)

Here, z is now a function of both x and y. We can pick whatever value we'd like for x and y, and those choices will fix a certain value of z. For instance, picking x = 1 and y = 2 gives us \(z=-2(1)+2=-2+2=0\).

To graph this function, we now need 3 dimensions and 3 axes: an x-axis, a y-axis, and z-axis. See the second photo for a graph of this function.

TL;DR: An equation in three variables can be represented as a function by solving for one of the variables, and graphed in three dimensions, with one axis for each variable.

Step-by-step explanation:

tg poscusdj & Because H.M.'s surgery seemed to disrupt only those retrograde memories acquired shortly before his surgery

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

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Compared to Monday, Gordon ran for an additional 15 minutes on Wednesday.

Let x be the number of additional minutes Gordon ran on Wednesday compared to Monday. Then, we can write an equation based on the given information:

43 minutes (Wednesday) = 28 minutes (Monday) + x minutes (additional time on Wednesday)

To solve for x, we can isolate it on one side of the equation:

43 minutes - 28 minutes = x minutes

15 minutes = x

Therefore, Gordon ran 15 more minutes on Wednesday compared to Monday.

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The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Answer:

Step-by-step explanation:

Fishman, Goron, Smith, other

:::::

votes for Goron = 35% of 280 = 0.35×280 = 70

:::::

10% of 280 = 0.10×280 = 28 ≠ 40

The estimate was inaccurate

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

C

Step-by-step explanation:

First we need to find the average in every section, such as the Hw, quiz and tests.

(76+82+85)/3=81 Hw

(74+80+80)/3=78 quiz

(60+68)/2=64 test

Hw is weighted at 10% so it is 81×1=81.

Quizzes are weighted at 20% so 78×2=156

Tests are weighted at 60% so 64×6=384.

Add them all up then divide them by 9,

(81+156+384)/9= 69%

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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- 4 - 3v = -52 ------------------------------(1)

-r - 3v = -52 ----------------------------------(2)

From equation (1), solve for v

-4 - 3v = -52

add 4 to both-side of the equation

-3v = -52 + 4

-3v =-48

divide both-side of the equation by -3

v = 16

Substitute v= 16 in equation(2) and then solve for r

-r - 3v = -52

-r - 3(16) = -52

-r -48 = -52

add 48 to both-side of the equation

-r = -52 + 48

-r = -4

multiply both-side of the equation by -1

r=4

Answer: y=6x+8

Step-by-step explanation:

slope intercept form: y= mx+b

slope(m)= (y2-y1) / (x2-x1)

using the first two columns, we get:

(14-8)/(1-0) = 6/1= 6

to find b: find the y value where x=0

that gives us b=8

therefore, if we plug in m and b into the slope intercept form, we get

y = 6x + 8

Answer: y=6x+8

Step-by-step explanation:

Answer:

a=45º

Step-by-step explanation:

The angles in a triangle added up= 180º

so, we can make the equation:

2a-20+2a-20+a-5=180

simplify

5a-45=180

5a=225

a=45

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

2

Step-by-step explanation:

i thought 7 is a base so just solve equation

2x+11=15

x=2

Answer:

2

Step-by-step explanation:

log 7 (x^2 + 11) = log 7 15

x^2 + 11 = 15

-11    -11

x^2 = 4

(\(\sqrt{x}^{2}\)) = (\(\sqrt{4}\))

x = 2

Answer:

$1 x 4

$20 x 3

$5 x 6

Step-by-step explanation:

$94

at least 4 $1 bills

$90

at least 3 $20  ($60)

$30

the remaining $30 can be made up of 6 $5 bills

4 + 3 + 6 = 13 bills total

Answer:

1 dollar

Step-by-step explanation:

If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

1. A

2. Simplification: (not sure)

\( \frac{ - 3x {}^{5} + 6x { }^{2} - 4x - 15 }{9x {}^{2} - 12x + 4 } \)

Answer:

idk

Step-by-step explanation:

Answer:

w = 30

Step-by-step explanation:

a = lw

l = 2w

a = 2w × w

1800 = 2w × w

1800 ÷ 2 = w × w

900 = w × w

square root of 900 = square root of w^2

(I don't have the symbol for square root)

30 = w

check work:

a = lw

l = 2w

l = 2(30)

l = 60

1800 = 60 × 30

1800 = 1800

correct answer

Answer:

Step-by-step explanation:

we now that \(\sqrt[n]{x} *\sqrt[n]{y} =\sqrt[n]{xy}\)

so:

\((\sqrt[3]{5} )(\sqrt[5]{25} )= \sqrt[3]{125} = 5\)