There is a triangular number that has 55 dots in its shape. Which one is it? Write your answer as a number.

The triangular number that has 55 dots in its shape is the
-th triangular number.

Answer:

? what is this question asking

Step-by-step explanation:

Answer:

strength of the relationship between two variables.

Step-by-step explanation:

The Pearson r correlation Coefficient used to measure the relationship or association between two variables. The correlation Coefficient, R ranges between - 1 and 1. As it provides information on both the strength and type of the relationship. The type of relationship could be positive or negative.

The absolute size of r measures Tha strength of the relationship as it ignores the sign. As the Pearson r value moves closer to 1, the higher the strength of the relationship.

Answer:

<ADB = 61degrees

Step-by-step explanation:

From the diagram shown, triangle ADB is isosceles since they projected out from the chord AD. Hence;

<ABD + <ADB + <BAD = 180

Since <ADB = <BAD, then;

<ABD + <ADB + <ADB = 180

Given that:

<ABD = 58degrees

58 + 2<ADB = 180

2<ADB = 180 - 58

2<ADB = 122

<ADB = 122/2

<ADB = 61degrees

Answer90 degrees

Step-by-step explanation:

Answer:

4*12*2

Step-by-step explanation:

it will be the right answer

Answer:

There are 6 boys in group.

Step-by-step explanation:

Since we have given that

Number of arrangement of 4 boys = 12 times the number of arrangement of 2 boys.

So, Let the number of boys in the group be 'x'.

So, Number of boys in the group will be

\begin{gathered}x=\frac{12\times 2}{4}\\\\x=\frac{24}{4}\\\\x=6\end{gathered}

x=

4

12×2

x=

4

24

x=6

Hence, there are 6 boys in the group.

hope it helps you a follow would be appreciated

Answer:

The car will depreciate at a rate of 21.14% per year.

Step-by-step explanation:

Given that the value of a car will “depreciate” over time, and, for example, a car that was worth $ 24,000 when it was new, is being sold for $ 13,500 three years later, to determine the annual depreciation rate on this car the following calculation must be performed:

13,500 x (1 + X) ^ 1x3 = 24,000

13,500 x (1 + 0.2114) ^ 3 = 24,000

X = 21.14%

Therefore, the car will depreciate at a rate of 21.14% per year.

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Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

Additional comment

This is different than the minimum cost per item. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

Answer:

(a) 129600 J

(b) 81000 J

Step-by-step explanation:

The work done is given by the product of force and the displacement in the direction of force.

Force, F = 500 N

distance, d = 324 m

(a) friction force, f = 100 N

The work done is

W = (F - f) x d

W = (500 - 100) x 324

W = 129600 J

(b) Friction, f = 250 N

The work done is

W = (F - f) d

W = (500 - 250) x 324

W = 81000 J

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Answer:

  D.

Step-by-step explanation:

The linear portion of the curve is in the region x ≥ 2. The only function defined that way is the one in choice D.

Answer:

downwards

Step-by-step explanation:

Given the quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then the graph opens upwards

• If a < 0 then the graph opens downwards

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Answer:

  33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

  1.40 × purchase price = £42

  purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

  £30 × 40% = £12

The purchase price of the skirt is ...

  total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

  total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

  skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

Answer:

= 1296x √ xy

Step-by-step explanation:

Apply exponent rule: a^b . a^c = a^b + c    3 . 3 = 3^ 1 + 1

= x . 3^1+1 √648x . 4y . 8

Add the numbers: 1 + 1 = 2

= x . 3^2 √648x . 4y . 8

= 3^2 . 144x √ xy

Refine

= 1296x √ xy

Answer:

d=10.45t

Step-by-step explanation:

The last one is the answer.

Hope this helps!

--Applepi101

Answer:

D) d=10.45t

Step-by-step explanation:

His distance(d) was 100. And his time(t) was 9.58 seconds.

So 100=9.58x

x≈10.44

The answer is D, because 10.45 is greater than 10.44.

I hope this helps!

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this the hypothesis is:

[tex]H_{0}:\mu=10\\\\H_{1}:\mu\neq10[/tex]

The bankers assert that their bank's average maturity was distinct from that of ten years, that's why the hypothesis of the alternative.

Answer:

0.00084

Step-by-step explanation:

We are given that

Mean,[tex]\mu=2400[/tex] square feet

Standard deviation, [tex]\sigma=450[/tex]square feet

n=50

We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.

[tex]P(x<2200)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}<P(\frac{2200-2400}{\frac{450}{\sqrt{50}}})[/tex]

[tex]P(x<2200)=P(Z<\frac{-200}{\frac{450}{\sqrt{50}}})[/tex]

Using the formula

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]P(x<2200)=P(Z<-3.14)[/tex]

[tex]P(X<2200)=0.00084[/tex]

Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084

Answer:

6m

Step-by-step explanation:

h=3(/V πr^2)=3(226/ π·6^2)≈5.99484

round to 6

Answer:

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=30[/tex]

Variance [tex]\sigma= 16.8[/tex]

Significance Level [tex]\alpha=0.05[/tex]

[tex]\sigma = 23[/tex]

Genet=rally the Hypothesis are as follows

Null [tex]H_0=\sigma^2=23[/tex]

Alternative [tex]H_a=\sigma^2 \neq 23[/tex]

Generally the equation for Chi distribution t is mathematically given by

t test statistics

[tex]X^2=\frac{(n-1)\sigma}{\sigma^2}[/tex]

[tex]X^2=\frac{(30-1)16.8^2}{23}[/tex]

[tex]X^2=355.86[/tex]

Therefore

Critical Value

[tex]P_{\alpha,df}[/tex]

Where

[tex]df=29[/tex]

[tex]P_{\alpha,df}=16.0471 and 45.7223[/tex]

[tex]X^2=45.7223[/tex]

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

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Answer:

  3

Step-by-step explanation:

AB is 1 unit long.

A'B' is 3 units long.

The scale factor is the ratio of these lengths:

  scale factor = A'B'/AB = 3/1 = 3

ABC is dilated by a factor of 3 to get A'B'C'.

Answer:

3000

growth

3.4

Step-by-step explanation:

Answer:

k bestie here we go again...

Initial price:  $3200

Function represents growth

Price increases by 4.1% every year

yo so ill give you a trick

the very first number in the equation is ALWAYS the initial price for exponential functions

if the decimal in the parantheses has a 1 in front of it (e.g. 1.041) it's ALWAYS going to be growth

To find how much it increases move the decimal forward by 2 places

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Answer:

  linear

Step-by-step explanation:

The points all lie on a straight line. The relationship is linear.

Answer:

x = 105/16

Step-by-step explanation:

2/3x - 1 = 27/8

Add 1 to each side

2/3x - 1+1 = 27/8+1

2/3x = 27/8 + 8/8

2/3x = 35/8

Multiply each side by 3/2

3/2 * 2/3x = 35/8 *3/2

x = 105/16

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Answer:

  [tex](S)\cdot(H)\cdot(E)\cdot(e)\cdot(\theta)\cdot(\epsilon+1+1)\cdot(\xi)\cdot(s)\cdot(h)[/tex]

Step-by-step explanation:

The inverse function of fun(x) is indicated using a -1 exponent. That is ...

  [tex]\text{fun}(\text{fun}^{-1}(x)) = x\\\text{fun}^{-1}(\text{fun}(x)) = x[/tex]

The usual trig identities apply:

  sin²(x) +cos²(x) = 1

  sec²(x) -tan²(x) = 1

  sin(x) = 1/csc(x)

__

So, the expression simplifies to ...

  [tex](S)\cdot(H)\cdot(E)\cdot(e)\cdot(\theta)\cdot(\epsilon+1+1)\cdot(\xi)\cdot(s)\cdot(h)[/tex]

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Answer:

  A)  (2, ∞) . . . . or C) (-∞, 0) ∪ (2, ∞) if you don't think about it

Step-by-step explanation:

We want ...

  C(x)/x < 100

  (20x +160)/x < 100

  20 +160/x < 100 . . . . . separate the terms on the left

  160/x < 80 . . . . . . . subtract 20

  160/80 < x . . . . . multiply by x/80 . . . . . assumes x > 0

  x > 2 . . . . . . simplify

In interval notation this is (2, ∞).   matches choice A

__

Technically (mathematically), we also have ...

  160/80 > x . . . . and x < 0

which simplifies to x < 0, or the interval (-∞, 0).

If we include this solution, then choice C is the correct one.

_____

Comment on the solution

Since we are using x to count physical items, we want to assume that the practical domain of C(x) is whole numbers, where x ≥ 0, so this second interval is not in the domain of C(x). That is, the average cost of a negative number of items is meaningless.

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example, 32x1=32.

Answer:

[tex]\displaystyle \frac{d}{dx}[x^2] = 2x[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x^2[/tex]

Step 2: Differentiate

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

Unit: Differentiation

Answer:

36

Step-by-step explanation:

Total students un the contest = 84

Number of students who gave their speech yesterday:-

[tex] \frac{1}{4} \: of \: total \\ = \frac{1}{4} \times 84 \\ = 21[/tex]

so 21 students gave their speech yesterday

= 63

Number of students who gave their speech today:-

[tex] \frac{3}{7} \: of \: remaining \\ = \frac{3}{7} \times 63 \\ = 27[/tex]

Number of students who have given their speech:-

= 21 + 27

= 48

Number of students who still haven't given their speech :-

= total - 48

= 84 - 48

= 36

No because 5^2 +10^2 is not equavalent to 13^2

by using the pythagoras' theorem