Solve for x and write your answer in simplest form.

x-3(2/3x+3)=3(-3/2x+1)-3/2x

Answer:

Since there are no common factors, the only common factor is 1

(●'◡'●)

Step-by-step explanation:

so, if I understand correctly :

angle A = 22°

angle B = 53°

angle D = 38°

remember : the sum of all 3 angles in every triangle is always 180°.

so,

180 = 22 + 53 + AEB

angle AEB = 180 - 22 - 53 = 105°

per the attributes of crossing lines the angles between them are the same on both sides of any of the lines (just left-right mirrored).

so, CB and AD are crossing lines, therefore

angle AEB = angle CED = 105°

and then

180 = 105 + 38 + C

angle C = 180 - 105 - 38 = 37°

Step 1

Given;

Required; To factorize the problem

Step 2

Find the GCF

Hence, we will factorize thus and have;

Applying this we will have;

Therefore, we will now factorize (x²+5x-14) by finding the terms that when added together gives 5x and when multiplied together gives -14x²

Replace 5x with (7x-2x)

Grouping the four terms in twos, that is the first two as a pair and the remaining two as the other pair, we can bring out common terms from each pair. This is shown below:

Therefore, using the factoring method shown in Step 2, we have the expression to be:

Collecting the like terms, we, therefore, have the factorized expression to be:

Therefore the full factorized expression will be;

The answer will therefore be ; (x-3)(x+7)(x-2)

Answer:

C

Step-by-step explanation:

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Answer:

9x² - 25 = (3x - 5)(3x + 5)

Step-by-step explanation:

(a + b)(a - b) = a² - ab + ab - b² = a² - b²

a² - b² = (a + b)(a - b)

Answer:

180 and 181

Step-by-step explanation:

A pythagorean triple basically refers to numbers that satisfies the pythagorean theorem. This theorem states that the square of the hypotenus (a) of a right angle triangle is equal to the sum of the squares of the other two sides (b and c).

That is;

a² = b² + c²

If the shortest side is 19, the other two sides are 180 and 181.

The hypotenus is the longest side of the right angle triangle.

Check:

181 = 180 + 19

181² = 180² + 19²

32761 = 32400 + 361

32761 = 32761

The radius of the circle is 21.92 feet

From the question, we have the following parameters that can be used in our computation:

A square lawn has an area of 1922 square feet

This means that

Area = 1922

Take the square root of both sides to determine the side length

side length = 43.84

This represents the circle diameter

So, we divide by 2

radius = 21.92

Hence, the radius is 21.92

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Answer:

-44

Step-by-step explanation:

-5 × 9 + 1

-45 + 1

done...

Answer:$232

Step-by-step explanation:14.5x16=232

Answer:

$232

(If you want to round, the answer would be $200)

Step-by-step explanation:

This is just a one-step equation:

16 x 14.5 = $232

Answer: I hope it helps :)

Step-by-step explanation:

1.

\(Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}\)

2.

\(Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23\)

3.

\(Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6\)

4.

\(Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}\)

5.

\(Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y\)

Hamilton led the Annapolis Convention in 1786 to adopt the United States Constitution in place of the Articles of Confederation.

Alexander Hamilton and George Washington spent years working near to one another, but they never grew close friends because of their respective roles and personalities. They exchanged gifts, nevertheless, that may have been of more value.

The popular Broadway musical Hamilton has been added to Disney+'s streaming library. Since then, the hip-hop and rap-infused history lesson has become more and more well-known. Alexander Hamilton's tale, along with that of other significant American Revolutionary War figures, is told in Hamilton.

In an effort to restore his political standing, Hamilton published a pamphlet to deny the charges of speculation but publicly admitted to the affair in what would be the first major American political sex scandal.

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Answer:

Step-by-step explanation:

if you have the option, you can say

# of people ≠ 43

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

We cannot conclude anything about the limit lim f(x) as the given information does not provide enough details about the behavior of the function f(x) as x approaches 1.

The given prompt does not provide any information about the function f(x) or its behavior near x = 1. Without knowing the specific form or properties of f(x), it is not possible to determine the limit lim f(x) as x approaches 1.

In order to determine the limit, we need additional information such as the function's definition, a graph, or any other characteristics that would allow us to analyze the behavior of f(x) near x = 1. Without such information, we cannot make any conclusions about the limit lim f(x).

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Answer:  I don't know i'm taking a benchmark about that question an that pop up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.

Hope this helps

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

Step-by-step explanation:

a- 3+n

Answer:

First option and Second option

Step-by-step explanation:

Hope it helps. Happy Easter Tuesday. Have a great day.

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

The function rule for f⁻¹ is f⁻¹(y)=(x/4)+4. And, the function rule for g⁻¹ is g⁻¹(v)=(4u-65)/2.

The inverse function is defined as the function that is considered "undo" or reverse of another function. For example, let us consider a function to be f. Then, the inverse function is written as f⁻¹.

a) Given f(x)=4x-16. Let's consider y=f(x)=4x-16. Then,

y=4x-16

4x=y+16

x=(y+16)/4

=(y/4)+4

To find the inverse function, then put x=y, we get,

f⁻¹(y)=(x/4)+4

b) Given g(u)=(2u+9)/4+14. Let g(u)=v=(2u+9)/4+14. Then,

v-14=(2u+9)/4

2u+9=4v-56

2u=4v-65

u=(4v-65)/2

To find the inverse function, then put u=v, we get,

g⁻¹(v)=(4u-65)/2

The required answers are f⁻¹(y)=(x/4)+4 and g⁻¹(v)=(4u-65)/2.

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The complete question is -

a. Given that f(a) = 4x-16 where f(x) = y, define a function rule for f⁻¹.

f⁻¹(y) =

b. Given that g(u) = (2u + 9)/4 +14 where g(u) = v, define a function rule for g⁻¹.

g⁻¹(v) =

Answer:

Option C. 0.4

Step-by-step explanation:

Given data

0.064

We are required to find the cube root of the above number

The cube root is also expressed  mathematically as

= ∛0.064

= 0.4

Hence, the answer is option C 0.4

sorry testing if my brainy works it hasn't been working right lately

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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The final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

What is the mean and standard deviation?

The mean and standard deviation are commonly used in various statistical analyses, such as hypothesis testing, probability distributions, and the characterization of data distributions. They provide valuable insights into the central tendency and variability of a dataset, allowing for comparisons and further statistical calculations.

To find the critical value for this test, we need to determine the z-score corresponding to the significance level of α = 0.05. Since this is a two-tailed test, we divide the significance level by 2 to get α/2 = 0.025 for each tail.

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to α/2 = 0.025 is approximately 1.96.

The critical value for this test is ±1.96.

the formula to calculate the test statistic,

test statistic = (sample mean - population mean) / (standard deviation / √(sample size))

Plugging in the given values:

test statistic = (62 - 65.2) / (6.9 / √(42))

≈ -1.742

The test statistic is approximately -1.742.

Since the test statistic falls outside the critical region (which is defined by the critical values ±1.96), we fail to reject the null hypothesis.

The test statistic is not in the critical region.

Therefore, the final conclusion is that there is sufficient evidence to warrant the rejection of the claim that the population mean is not equal to 65.2.

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By exhaustion theorem the lines that would be included in the proof are:

55 = (5)(11), so 55 is composite.

56 = (2)(28), so 56 is composite.

57 = (3)(19), so 57 is composite.

Therefore, to prove the theorem by exhaustion, we only need to show that the three integers in this range, namely 55, 56, and 57, are composite. The lines that show the prime factorization of each integer and conclude that they are composite are the ones that would be included in the proof.

The reason being that the theorem states that every integer in the range from 55 through 57 is composite.

The line that shows the factorization of 54 is not relevant to this theorem, as 54 is not in the range from 55 through 57. The line that shows the factorization of 58 is also not relevant, as 58 is not in the range from 55 through 57, and therefore does not contribute to proving the theorem.

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Answer:

Actually it is not hard. It is just the mentallity or attitude that u have towards it. Stop saying and believing that it is hard........just start doing more practice per topic everyday, 2 to 3 sums a day in a topic that u have not understood will do the trick. And above all, believe in yourself and start seeing yourself as a little math genius and never give up trying.

Step-by-step explanation:

Answer:

Math is hard because it wants us to fail.

Step-by-step explanation:

Also someone says that math stands for Mental Abuse To Humans. So...