What is the area of a rectangle that
has a base of 3√8 and a height of
5+ √32?

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

the 3rd one or the first one you chooses between them to

Step-by-step explanation:

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

230

Step-by-step explanation:

sorry but the explanation is big and confusing i can't do the math step by step.

Answer:

x = 60 degrees

Step-by-step explanation:

In a triangle, all the inside angles should add up to 180 degrees, so to get this question, we have to add the angles we know and then subtract 180 by the number we get:

68 + 52 = 120

180 - 120 = 60

So, x = 60 degrees

Hope this helps :)

The required answer to the given term is 2.

What is simplification?

Finding the answer from a complex calculation is what is meant by simplification. To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

By eliminating all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form, fractions can be made simpler.

By combining and grouping like terms, mathematical expressions can be made simpler. This makes the phrase simple to comprehend and solve.

Given, 2/5 x 5

=  \(\frac{2}{5} *5\)

= 2

Hence, the required answer to the given term is 2.

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The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.

The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.

Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.

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Answer:

52.8

Step-by-step explanation:

If you were to look this up 50 liters = 52.8344

The question asks you to round to the nearest tenth so 52.8344 is now shown as 52.83 when you round that you can see that 52.83 rounded to the nearest tenth is 52.8 and that's your answer.

PLEASE MARK AS THE BRAINLIEST PLEASE

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Answer: \(f^{-1} (x) = \sqrt{x} +1\)

Step-by-step explanation:

\(y = x^2 - 2x + 1\)

We know straight away the inverse will be a square root function. We also know that this inverse will have a restriction on the domain, (because you can only take the square root of a positive number).

So, to find the inverse, first we'll switch the x and y and solve for y:

\(x = y^2 - 2y +1\)

\(x = (y-1)^2\), (factor!)

±\(\sqrt{x} = y - 1\)

So, the inverse "function" is:

\(f^-1(x)\) = ±\(\sqrt{x} +1\)

But theres an issue here!

If we tried graphing this, this "function" would not pass the vertical line test, so its not really a function at all!

We need to restrict the domain to only include the values that are above the x axis.

So our final inverse function is:

\(f^{-1} (x) = \sqrt{x} +1\)

Answer:

The graph of the function y = sin^-1(x) passes through the point (0, pi/2). The inverse sine function, also known as the arcsine function, is defined as the inverse of the sine function. This means that if y = sin^-1(x), then x = sin(y). Therefore, when y = pi/2, x = sin(pi/2) = 1. The point (0, pi/2) lies on the graph of the inverse sine function, so it is the correct answer.

Step-by-step explanation:

Answer: The graph of  \(y=cos^{-1}(x)\) is passes through the point (0,π/2) .

The graph of a function \(f\) is the set of ordered pairs \((x,f(x))\) . The set of ordered pairs are a subset of \(R^{2}\) . So, by putting all of  \((x,f(x))\) on the cartesian plane we can draw a curve.

By putting \(x=0\) and \(y=\pi /2\) in \(y=cos^{-1}(x)\) we get,

\(R.H.S.=cos^{-1}(0)=\pi /2\)   and  \(L.H.S.=y=\pi /2\).

Therefore, \(L.H.S=R.H.S\) .

By putting \(x=0\) and \(y=\pi /2\)  in  \(y=cosec^{-1} (x)\) we get,

\(R.H.S=cosec^{-1} (0)\) is undefined and  \(L.H.S=\pi /2\).

Therefore, \(L.H.S\neq R.H.S\).

By putting \(x=0\) and \(y=\pi /2\) we get,

\(R.H.S=sec^{-1}(0)\) is undefined and \(L.H.S=\pi /2\)

Therefore, \(L.H.S\neq R.H.S\).

By putting \(x=0\) and \(y=\pi /2\)  in \(y=sin^{-1}(x)\) we get

\(R.H.S=sin^{-1} (0)=0\) and \(L.H.S=\pi /2\)

\(L.H.S\neq R.H.S\).

Hence \((0,\pi /2)\) passes through \(y=cos^{-1}(x)\)

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The rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)

The arithmetic sequence is

-2, -4, -6, -8,...

The initial term = -2

The common difference = The second term - The first term

= -4 - (-2)

= -4 + 2

= -2

The nth term of the arithmetic sequence is

an = a+ (n-1) d

Where a is the initial term

an is the nth term

d is the common difference

Substitute the values in the equation

an = -2 + (n-1)(-2)

Rearrange the terms

an = -2 -2(n-1)

Hence, the rule used to create the arithmetic sequence -2, -4, -6, -8,.. is an = -2 - 2(n-1)

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Answer:  -7x should be written as -15x+8x or 8x-15x

===============================================

Explanation:

Multiply the first coefficient 6 and the last term -20 to get -120

We need to find factors of -120 that add to the middle coefficient -7

Through trial and error you should find that

-15 + 8 = -7

-15 * 8 = -120

Therefore, we break the -7x into -15x+8x

----------------------------

Extra info: if you want to fully factor by grouping, then follow these steps

6x^2 - 7x - 20

6x^2 - 15x + 8x - 20 ... break up -7x

(6x^2 - 15x) + (8x - 20) .... group into pairs

3x(2x - 5) + 4(2x - 5) .... factor each group

(3x + 4)(2x - 5) ..... pull out the overall GCF 2x-5

So 6x^2-7x-20 fully factors to (3x+4)(2x-5)

We can check the answer by FOILing out the last expression above to get the original expression back again. The box method works as well. So does the distributive property.

Answer:

60°

Step-by-step explanation:

That's an equilateral triangle therefore all sides and angles are the same.

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Answer: Length of side QR is 16 units.

Step-by-step explanation: Given that dimensions of  PQR

QPR= 90degrees

Answer:

3/12 or 40%

not 10000% sure on this tho

Step-by-step explanation:

Nope! 91.1 a rational number because it's terminating upto 1

Answer:

No, 91.1 is  rational number

Step-by-step explanation:

Answer:

Discriminant = 9.

Step-by-step explanation:

Discriminant

\(\boxed{b^2-4ac}\quad\textsf{when}\;ax^2+bx+c=0\)

\(\textsf{when $b^2-4ac > 0 \implies$ two real roots}.\)

\(\textsf{when $b^2-4ac=0 \implies$ one real root}.\)

\(\textsf{when $b^2-4ac < 0 \implies$ no real roots}.\)

Given function:

\(x^2+x-2=0\)

Therefore:

Substitute the values of a, b and c into the discriminant formula:

\(\begin{aligned} \implies b^2=4ac&=(1)^2-4(1)(-2)\\&=1-4(-2)\\&=1+8\\&=9\end{aligned}\)

Therefore, the discriminant of the given function is 9.

As the discriminant is greater than zero, this implies that there are two real roots.

Answer:

1.25% chance of finding exactly 4 left-handers

Step-by-step explanation:

About 10% of people are left-handed. So in a class with 32 students:

1 / 10 * 4/32 = 1/10 * 1/8

1/10 * 1/8 = 1/80 = 0.0125 = 1.25%

Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

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

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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An equation that describes the graph include the following: C. y = |x – 1| + 2.

In Mathematics and Geometry, the translation of a graph to the right simply means adding a digit to the numerical value on the x-coordinate of the pre-image while the translation of a graph upward simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x) = |x|, g(x) or y would be created by translating f(x) one (1) unit to the right and two units upward as follows;

f(x) = |x|

g(x) = f(x - 1) + 2

y = |x – 1| + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

8.58

Step-by-step explanation:

Brainliest plz

Answer:

Step-by-step explanation:

y - 3 = 0(x - 1)

y - 3 = 0

y = 3

Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

We have to given that;

From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.

Now, We know that;

Number of ways to choose 1 boy in group of 5 boys,

⇒ ⁵C₁

And, Number of ways to choose 1 girl from group of 3 girls,

⇒ ³C₁

Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,

⇒ ⁵C₁ x ³C₁

⇒ 5! /1! 4! × 3! / 1! 2!

⇒ 5 × 3

⇒ 15

Thus,  Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

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Answer:

I think it is $0.50 per pound

Step-by-step explanation:

Hope this helps

Answer:

24

Step-by-step explanation:

she only has 24 erasers

so she can only make 24 bags with 24 erasers, that could include pencils and pens