Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Given:

The inequality is

[tex]-\dfrac{x}{8}+\dfrac{8}{3}\geq 3[/tex]

To find:

The solution for the given inequality in both set and interval notations.

Solution:

We have,

[tex]-\dfrac{x}{8}+\dfrac{8}{3}\geq 3[/tex]

It can be written as

[tex]-\dfrac{x}{8}\geq 3-\dfrac{8}{3}[/tex]

[tex]-\dfrac{x}{8}\geq \dfrac{9-8}{3}[/tex]

[tex]-\dfrac{x}{8}\geq \dfrac{1}{3}[/tex]

Multiply both sides by -8 and change the inequality sign.

[tex]x\leq -\dfrac{8}{3}[/tex]

It means all the values of [tex]x[/tex] which are less than or equal to [tex]-\dfrac{8}{3}[/tex] are included in the solution set.

Set notation is [tex]\{x|x\leq -\dfrac{8}{3}\}[/tex].

Interval notation is  [tex]\left(-\infty,-\dfrac{8}{3}\right ][/tex].

46

Step-by-step explanation:

all angles must add to 180

32+102= 134

180-134= 46

correct me if im wrong:)

Answer and Step-by-step explanation:

Divide both sides by 2 to get y.

2y > 4

y > 2

y > 2 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

Properties:

Find x:

Find y:

Find z:

Answer:

x=10

y = 21°

z=8°

Step-by-step explanation:

we have

AB = AD, CB = CD,

AC perpendicular to DB, AC is angle bisector of DAB and DCB

Perimeter = 140

2(2x + 7 + 4x +3) = 140

6x + 10 = 70

6x = 60

x = 60/6=10

x=10

again

3y - 1 +28° =90

3y - 1 = 90° - 28°

3y - 1 = 62°

3y = 63°

y = 21°

again

4z+58°=90

4z = 90° - 58

4z = 32°

z=32/4

z=8°

Answer:

Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Step-by-step explanation:

To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.

The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.

The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.

The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).

However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.

Answer:

so it's difficult to do

i try

I need to help u

Answer: 7c-2

Step-by-step explanation:

Answer:

The man

Step-by-step explanation:

Let's say the hotel cost $12400(just an example...)

So the website will show $12400. And the man needs to pay $12400.

Since one pound is 1.24 dollars, 12400 dollars will be 12400/1.24=10000 pounds.

12400>10000, so the man is right, the number of pounds will be less than the number of dollars shown.

The man is right about the Exchange rate.

The rate at which one currency will be exchanged for another is known as the exchange rate. The most frequent types of currencies are national currencies,

A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.

Given:

The Situation is The man's friend told him that " It will actually cost more

pounds than the price shown, because of the exchange rate."

This means the price in pounds is more than dollar.

But the exchange rate is found to be

£1 = $1.24

So, the price in dollar is more than in pounds.

Hence, the Men is correct.

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Answer:

13 hamburgers and 9 hot dogs

Step-by-step explanation:

Answer:

13 hamburgers

9 hotdogs

I see the person that also gave you an answer never explained how they got the answer.  I thought you might like an explanation

Step-by-step explanation:

Let x = no. of hamburgers

     y = no. of hotdogs

(1)    x + y = 22              (2)      3.5x + 2.5y = 68

            y = 22 - x                    35x + 25y = 680

                                                35x + 25(22 - x) = 680

                                                35x + 550 - 25x = 680

                                                 10x + 550 = 680

                                                              10x = 130

                                                                  x = 13 hamburgers

           y = 22 - x = 22 - 13 = 9 hotdogs

Answer:

Terms are separated by addition signs and subtraction signs, but never by multiplication sign

Step-by-step explanation:

A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial.

Answer:

4

Step-by-step explanation:

Answer:

It contains 16 quarts of water

Step-by-step explanation:

Just do 4 gallons by the 4 quarts in one gallon and youll get 16

Answer:

One gallon is equivalent to four quarts. so 4 gallons equal 4×4=16 quarts.

Answer:

walk = 9/30 -  bike = 3/30 - car = 6/30 - bus = 12/30

Step-by-step explanation:

Step-by-step explanation:

the number of members in A municipal corporation depends upon the _______ city

Answer:

We divide it into 3 rectangles:

A rectangle with sides 19mi and 5mi,

a rectangle with sides 1mi and 31mi,

and a rectangle with sides 10mi and 20mi,

so we get 95 + 31 + 200 = [tex]\boxed{326}[/tex]

Hope this helps!

Answer:

I': (-1, 4)

J': (3, 5)

K': (3, 2)

Step-by-step explanation:

to find the new 'x' values, add 2 to original 'x' values

to find the new 'y' values, add 6 to original 'y' values

5 is the denominator of the fraction, so you can pull the denominator out as a radical to get A. (x^8)^1/5 or D. [tex]\sqrt[5]{x^8}[/tex]

Answer:

1216.8

Step-by-step explanation:

Multiply  240  by  5.07 . 1216.8

Answer:

6 %

Step-by-step explana

100 pennies makes a dollar... you just add 5 for the nickel and 1 fo the penny and it makes 6

Answer:

The average waiting time is 1/3 hours (or 20 minutes)

Step-by-step explanation:

Given

[tex]T = 2hours[/tex] --- Time

[tex]D = 80\ customers/hr[/tex] --- Arrivals

[tex]C = 60\ customers/hr[/tex] --- Capacity

Required

Determine the average waiting time

The average waiting time (AT) is calculated using the following formula:

[tex]AT = \frac{1}{2} * T * (\frac{D}{C} - 1)[/tex]

This gives:

[tex]AT = \frac{1}{2} * 2 * (\frac{80}{60} - 1)[/tex]

[tex]AT = 1*(\frac{80}{60} - 1)[/tex]

[tex]AT = (\frac{80}{60} - 1)[/tex]

Remove bracket

[tex]AT = \frac{80}{60} - 1[/tex]

Take LCM

[tex]AT = \frac{80-60}{60}[/tex]

[tex]AT = \frac{20}{60}[/tex]

[tex]AT = \frac{1}{3} hr[/tex]

or

[tex]AT = \frac{1}{3} * 60\ mins[/tex]

[tex]AT = 20\ mins[/tex]

Answer:

Step-by-step explanation:

The correct question is attached in the image below;

From there, given that: the earnings = 60x + 50 y ------ (1)

y = -x + 175

for x = 0 ⇒ y = 175 ; Then Point A (0, 175)

y = -2x + 300

for y = 0 ⇒ x = 150 ; Then Point C (150, 0)

For Point B;

y = -x + 175    ---- (a)

y = -2x + 300 ---- (b)

Equating both (a) and (b) from above together; then:

⇒ -x + 175 = -2x + 300

⇒ x = 125

∴

From y = -x + 175

y = -125 + 175

y = 50

So point B ( 125, 50)

Now, the points are O(0, 0), A(0, 175), B(125, 50), C(150, 0)

As such, profit at these points are:

O(0, 0), Profit = 60 × 0 + 50 × 0 = 0

A(0, 175), Profit = 60 × 0 + 50 × 175 = 8750

B(125, 5), Profit = 60 × 125 + 50 × 50 = 10,000

C(150, 0), Profit = 60 × 150 + 50 × 0 = 9000

Hence, maximum profit takes place at B(125, 50) which is = $10,000

Finally, we can conclude that the shop should prepare 125 packages of assortment A and 50 packages of assortment B to maximize profit.

The maximum profit is $10,000

Answer:

im not sure

Step-by-step explanation:

sorry