Answer Choices:
A. 0.26
B. 0.56
C. 0.52
D. 0.31

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Answer:

1.23 x 10^8

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12/13=0.923 , and also sinb is ac/ab

Answer:

C. 0.923

Step-by-step explanation:

I calculated it logically

Answer:

D, No trend or association

Answer:

first blank is 3

second blank is 126

Step-by-step explanation:

the ratio is 2:3 so you must keep that the same in the table

The one for chocolates is 3 and the one for peppermints is 126

Answer:

C. x = 6

Step-by-step explanation:

2*6 + 4 = 16

Answer:

The answer is 628 meters.

Step-by-step explanation:

The area for surface of a cone is pi times the radius (radius plus the square root of the height squared plus the radius squared).

Lol, i know this is really confusing, just look up surface area of a cone formula.

Height squared = 15 * 15 = 225

Radius squared = 8 * 8 = 64

225 + 64 = 289

The square root of 289 is 17

17 + 8 = 25

3.14 * 8 = 25.12

25.12 * 25 = 628 meters.

Could I get Brainliest please?!?!

Answer:

cos theta=4/5

b/h=4/5

b=4 and h=5

p=?

H^2=P^2+B^2

5^2=P^2+4^2

25-16=P^2

9=P^2

[tex]\sqrt{9}[/tex]=P

3=P

Now,

sin2theta

=p/h2

=3/5*2

=9/5

Step-by-step explanation:

Answer:

About 36.87 degrees; sinθ=3/5

Step-by-step explanation:

Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.

Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.

By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:

c^2-b^2=a^2

Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).

5^2-4^2=a^2

25-16=a^2

9=a^2

a=3

The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.

sinθ=3/5

Move over the sine to then opposite side, inverse it:

θ=sin-1 3/5

Use a calculator.

θ = about 36.87 degrees.

Answer:

O.75

Step-by-step explanation:

The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an equation:

[tex]\rm 1.5(4)^2^x=12[/tex]

[tex]\rm (4)^2^x=8[/tex]

[tex]\rm (2^2)^{2x}= 2^3[/tex]

[tex]\rm 2^{4x}=2^3[/tex]

4x = 3  (equating powers of same base)

x = 3/4

Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

Learn more about the integer exponent here:

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Answer:

4

Step-by-step explanation:

2 out of 5 play so if there is 10 students 10*2/5 = 4 students

Answer:

4 students would play soccer

Step-by-step explanation:

To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer

Answer:

Option 2: 1 + 1/2 + 1/4 + 1/8+...

Step-by-step explanation:

When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.

In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.

In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.

In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.

In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.

From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.

The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex]  from the given options is correct.

     When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].

The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.

The common ratio [tex]r[/tex] of the series  [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex]  is greater than [tex]1.[/tex] So, the series diverges.

For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio  [tex]r[/tex] is  [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.

For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex]  which does not lie in the range of convergence. Thus the given series is not convergent.

For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2.  So, the series is not convergent.

The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].

Learn more about geometric series here:

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Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

759

Step-by-step explanation:

Answer:

D. 48

Step-by-step explanation:

QP = 16 (given)

LP = ?

Given that P is the centroid of the triangle, therefore:

QP = ⅓(QL) (based on the centroid theorem)

Plug in the value

16 = ⅓(QL)

Multiply both side by 3

3*16 = QL

48 = QL

QL = 48

Answer:

-3

Step-by-step explanation:

just plug in the points on the line into y2-y1/x2-x1

Answer:

-\left(x-1\right)\left(x+6\right)

Step-by-step explanation:

-\left(x^2+5x-6\right)

Answer:

520=20x+234

15 packages

Step-by-step explanation:

520-234

286

286/20

14.3, so she needs 15 packages

Answer:

si

Step-by-step explanation:

2x2 + 7x + 3 -answer

(2x + 1) (x + 3)

(2x * x) + (2x * 3) + (1 * x) + (1 * 3)

2x2 + 6x + x+3

2x2 + 7x + 3

Answer:

Step-by-step explanation:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

It is useful in different situations involving the need to find distance or the measure of an angle.

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer:

28

Step-by-step explanation:

Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .

A) Determine the test statistic

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / [tex]\sqrt{0.5*0.5 / 200}[/tex]  = 2.12

b) determine the p-value

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

Answer:

115°

Step-by-step explanation:

65 +65 = 130

360-130= 230

230÷2= 115