ft. If the equation for height as a
function of time is
16t2+ initial height where t is time
onds and h(t) is height in feet, how
w seconds will it take for the pebble
to hit the ground?

Answer:

n is greater than - 6.

Step-by-step explanation:

4+n>-2

subtract 4 on both sides

4-4+n>-2-4

n>-6

n is greater than - 6

Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

Answer:

The x coordinate is 2

Step-by-step explanation:

Given

\(A = (-2,5)\)

\(C = (6,-1)\)

Required

Determine the x coordinate of B

Since B is the bisector of AC, then B is the midpoint and will be calculated using;

\(B(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\)

Considering the x coordinates alone;

\(x = \frac{x_1 + x_2}{2}\)

Where

\((x_1,y_1) = (-2,5)\)    and     \((x_2,y_2) = (6,-1)\)

Substitute values for x1 and x2

\(x = \frac{-2 + 6}{2}\)

\(x = \frac{4}{2}\)

\(x = 2\)

Hence;

The x coordinate is 2

The function that describes the sequence 4, −2, 1, −1, ... , 41 is given by:an = 10 - 6n.

The sequence 4, −2, 1, −1, ... , 41 is an arithmetic sequence, which means that the difference between each consecutive term is constant. To find the common difference,

we can subtract any two consecutive terms in the sequence. Let's use the first two terms as an example: −2 − 4 = −6. We can see that the common difference is −6.

Thus, the nth term of the sequence can be expressed as follows:an = a1 + (n - 1)dwhere an represents the nth term of the sequence, a1 represents the first term of the sequence, and d represents the common difference.

Using the values given in the problem, we can plug them into the formula and simplify:an = 4 + (n - 1)(-6)an = 4 - 6n + 6an = 10 - 6n

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From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:

In the present case, n = 10. Which means:

From the information given, we are able to say that:

Here we found the first equation. The information about supplementary and complementary angles can be written as:

Now we have the following system of equations:

If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:

With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:

Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:

Now, from all the given information, we were able to find that, the three missing angles are:

Because the question did not name the angles, their name and order are not important, just the values.

Answer:

\(y=\frac{8x}{1}-7\\\)

Step-by-step explanation:

(1,1) and (2,9)

\(\frac{9-1}{2-1}\) =\(\frac{8}{1\\}\)

(2,9) and (x,y)

\(\frac{y-9}{x-2} =\frac{8}{1} \\\\1(y-9)=8(x-2)\\\\\frac{1y}{1}-\frac{9}{1}=\frac{8x}{1}-\frac{16}{1}\\\\y=\frac{8x}{1}-16+9\\y=\frac{8x}{1}-7\)

Answer:

The roots are {-4, 2}.

Step-by-step explanation:

It seems strange to have x terms on both sides of your equation.  If this is indeed the correct equation, then

x^2-x-8=-3x becomes x^2 +3x - x - 8= 0, and this latter result simplifies to

x^2 + 2x - 8 = 0.  

One set of factors of -8 is {-2, 4} and another is {1, -8).  Hence we could try evaluating this quadratic at x = 4:

4^2 + 2(4) - 8 = 16 (since this is not zero, 4 is not a root and (x - 4) is not a factor.  

Try x = -4 instead:

(-4)^2 + 2(-4) - 8 = 0 simplifies to 16 - 8 - 8 = 0, which is true.

Then x + 4 is a factor and x - 2 is another.  Multiplying these two together as a check results in the given x^2- x - 8 = -3x.

The roots are {-4, 2}.

Answer:

25

Step-by-step explanation:

Factor the number 4----->2^2

=\left(2^2\right)^{\log _2\left(5\right)}

add the exponent rule-----> (a^b)^c=a^bc

=2^{2\log _2\left(5\right)}

apply log rule----->\:a^{\log _a\left(b\right)}=b

=5^2=25

hope it helps :>

Answer:

The solution to the system of equations will be: (-6, 24)

Step-by-step explanation:

Given the system of equations

y = -3x+6

x = -6

substituting x = -6 in the equation y = -3x+6

y = -3x+6

y = -3(-6) + 6

y = 18+6

y = 24

Therefore, the solution to the system of equations will be: (-6, 24)

Note: it seems you have not mentioned the correct option in the answer choice as the correct choice is (-6, 24).

Answer:

1048 blue cars

1134 red cars

Step-by-step explanation:

Have a blessed day!!

Answer:

21,280

Step-by-step explanation:

Answer:21,280

Step-by-step explanation: because I am smart and I am black BLM and LM and ALL LIVES MATTER

Answer:

i would say 5

Step-by-step explanation:

4 is almost the same size as \(x\) but  \(x\) is just a little bit longer and its slanted

Answer:

x=4/3

Step-by-step explanation:

2+4=2(x-1)    original

6=2(x-1)        combine like terms

6=2x-2         multiply x-1 by 2

8=2x            add 2 to both sides

4=x              divide both sides by 2

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.

According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.

Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.

However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.

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beep bop boop bleep bloop i is bored lol

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

Make me brainliest

Answer:

x2y-x2z-xy2+xz2+y2z-yz2

step by step

step.1

Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)

step2

Equation at the end of step2

(((x2)•(yz))+yz•(z-x))+z2•(x-y)

step.3

equation at the end of step 3.

(x2•(y-z)+y2•(z-x))+z2•(x-y)

step4

trying to factor by pulling out:

factoring: x2y-x2z-xy2+xz2+y2z-yz2

thought fully split the expression at hand into groups,each group having two terms:

group1: y2z-yz2

group 2: x2y-x2z

group 3: xz2-yz2

pull out from each groups separately:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:(x-y)•(z2)

looking for common sub-expressions:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:( x-y)•(z2)

bad news !! factoring by pulling out fails:

The groups have no common factor and cannot be added up to form a multiplication.

final result:

x2y-x2z-xy2+xz2+y2z-yz2

Answer:

D

Step-by-step explanation:

Power of a power rule

(x^a)^b=x^ab

Answer:

\(y = \frac{5}{2} x^{2}\)

Step-by-step explanation:

When you scale a parabola vertically, you multiply the \(x^{2}\) by what you are scaling it vertically by.

For example, say you have  \(y = 8x^{2}\). That means that  \(y = x^{2}\) was scaled vertically by a factor of 8.

I hope this helps!

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

There are six different min heaps that can be made using the set of integers {88, 2, 9, 36}.

To understand why there are six different min heaps, we first need to know what a min heap is. A min heap is a binary tree where the parent node is always smaller than or equal to its child nodes.

Now, let's consider the set of integers {88, 2, 9, 36}. To make a min heap, we start by taking the smallest integer and making it the root of the tree. So, we can start with either 2 or 9 as the root.

If we start with 2 as the root, we have three choices for the second level of the tree: 9, 36, or 88. If we choose 9 as the second level, then we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have two choices for the third level: 88 or 9. If we choose 88 as the second level, we have only one choice for the third level, which is 9. Therefore, starting with 2 as the root, we have a total of 3 possible min heaps.

If we start with 9 as the root, we have two choices for the second level: 2 or 36. If we choose 2 as the second level, we have only one choice for the third level, which is 88. If we choose 36 as the second level, we have only one choice for the third level, which is 88. Therefore, starting with 9 as the root, we have a total of 2 possible min heaps.

So, adding up the possibilities from both starting points, we get a total of 3 + 2 = 5 possible min heaps. However, we need to consider one more possibility: starting with 36 as the root. In this case, we have only one choice for the second level, which is 88. Therefore, starting with 36 as the root, we have a total of 1 possible min heap.

Therefore, the total number of different min heaps that can be made using the set of integers {88, 2, 9, 36} is 3 + 2 + 1 = 6

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Answer:

\(842\ \text{ft}\)

\(y(t)=906-16t^2\)

Step-by-step explanation:

Let \(y\) be the height the object from the ground.

\(s\) be the initial height of the object = 906 ft

\(u\) = Initial velocity = 0

\(g\) = Acceleration due to gravity = \(32\ \text{ft/s}^2\)

\(t\) = Time

The expression would be

\(y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2\)

The required expression is \(y(t)=906-16t^2\)

At \(t=2\ \text{s}\)

\(y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}\)

The height of the object after 2 seconds of falling is \(842\ \text{ft}\).

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

It will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

Let's use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/k)

Where:

N0 = initial population (8 rabbits)

N = final population (5,800 rabbits)

k = doubling time (1 month)

t = time in months (what we're trying to find)

Substituting the values we have:

5,800 = 8 * 2^(t/1)

Dividing both sides by 8:

725 = 2^(t/1)

Taking the logarithm of both sides (base 2):

log2(725) = t/1

t = log2(725) ≈ 9.515

So it will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

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Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

Jesse's ranking is in the 80th percentile.

According to the given question.

Total number of students in a class = 180

Jesse was ranked 36th in his graduating class.

⇒ Number of people below Jesse will be = 180 - 36 = 144

As, we know that percentile can be calculated as by using the formula

Percentile = (number of values below score)/total number of scores × 100

Thereofore,

Jesse's ranking percentile

= \(\frac{144}{180} \times 100\)

= 0.8 × 100

Hence, Jesse's ranking is in the 80th percentile.

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The function is 130/2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

According to question,

\(\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}\)

7x7 - 7x0 + 81/4 - 49/4

49 + 32/2

130/2

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Answer:

3/8 its rise over run and positive

Step-by-step explanation:

squaring both side

(18√8-8√18)^2=(√n)^2

(18√8)^2+(8√18)^2-(2)(8√18)(18√8)=n

after solving it we will get

3744-3456=n

n=288

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

Explanation:

Simplify the first part of the left side

\(18\sqrt{8} = 18\sqrt{4*2}\\\\18\sqrt{8} = 18\sqrt{4}*\sqrt{2}\\\\18\sqrt{8} = 18*2*\sqrt{2}\\\\18\sqrt{8} = 36\sqrt{2}\)

And do the same for the second part of the left side

\(8\sqrt{18} = 8\sqrt{9*2}\\\\8\sqrt{18} = 8\sqrt{9}*\sqrt{2}\\\\8\sqrt{18} = 8*3*\sqrt{2}\\\\8\sqrt{18} = 24\sqrt{2}\)

For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.

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

The original equation \(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\) turns into \(36\sqrt{2}-24\sqrt{2} = \sqrt{n}\)

We have the common factor of \(\sqrt{2}\) so we can combine like terms on the left side ending up with \(12\sqrt{2}\)

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

So,

\(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\\\\36\sqrt{2}-24\sqrt{2} = \sqrt{n}\\\\12\sqrt{2} = \sqrt{n}\\\\\sqrt{n} = 12\sqrt{2}\\\\\left(\sqrt{n}\right)^2 = \left(12\sqrt{2}\right)^2\\\\n = 288\)

Yes it is possible to express \(18\sqrt{8}-8\sqrt{18}\) as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of \(\sqrt{2}\)

The proportion of variation in head circumference that can be explained by the variation in height was calculated to be approximately 49.8%.

A pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. In this case, the pediatrician randomly selected 11 children from her practice and measured their height and head circumference in inches. The correlation between height and head circumference was found to be . The regression equation was also determined to be . To find the proportion of variation in head circumference that can be explained by variation in height, we can square the correlation coefficient (r) to get the coefficient of determination (r^2). So, r^2 = (.706)^2 = .498. This means that approximately 49.8% of the variation in head circumference can be explained by the variation in height among the 11 children in the sample. In summary, the pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. The correlation coefficient was found to be , and the regression equation was determined to be .

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