What is the slope of the line connecting the points (2, 1) and (4, 5)?

Answer:

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

Step-by-step explanation:

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

Answer:

C. x = 6

Step-by-step explanation:

2*6 + 4 = 16

2x2 + 7x + 3 -answer

(2x + 1) (x + 3)

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

2x2 + 6x + x+3

2x2 + 7x + 3

Answer:

-3

Step-by-step explanation:

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

Answer:

=8⁴√³

8⁴=2¹²

12÷3=4

2⁴=16

16=16²√

=64²√³

64=4³

6÷3=2

4²=16

=16³√

16=4²

6÷2=3

4³=64

so the answer is 16^3/2

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:

Step-by-step explanation:

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:

si

Step-by-step explanation:

Answer:

520=20x+234

15 packages

Step-by-step explanation:

520-234

286

286/20

14.3, so she needs 15 packages

Answer:

54 degrees

Step-by-step explanation:

The total degree of a triangle is 180. Since it is a right angle, one of the angles is 90 degrees. The equation is, 36+90+x=180. You should then get 54 degrees.

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].

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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)

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:

28

Step-by-step explanation:

Answer:

1.23 x 10^8

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

125 inches cubed

Step-by-step explanation:

First, you find the volume of the full square, and then you divide your answer by 2, since the figure is a triangle.

So,

10 x 10 x 2.5 = 250

250 ÷ 2 = 125 inches cubed

Answer:

true

Step-by-step explanation:

[tex]\frac{x}{2} <20[/tex]

* substitute 30 for x *

[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]

we're left with 15 < 20 which is true

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.

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Answer:

D, No trend or association

Answer: The answer is C, hope I helped :)

Step-by-step explanation:

A purchase of 10 tickets is at an expected loss of $0.857 to the person.

Option B) $8.57 loss is the right choice.

The expected gain or loss is a weighted average of the probability of the different gains or losses and the gains or losses.

We are asked to calculate the expected gain or loss for a participant who purchases 10 tickets for a raffle costing $1 each, with a prize of a telescope valued at $425. We are told that a total of 2980 tickets have been sold.

First, we calculate the expected gain or loss on 1 ticket,

= 425*(1/2980) + (-1)(1)

= 0.1426174496 - 1

= -0.857382550.

∴ A purchase of 1 ticket is at an expected loss of $0.857

Now, we multiply this by 10 to get the expected gain or loss for the person with 10 tickets.

= -0.857382550*10 = -8.57382550

∴ A purchase of 10 tickets is at an expected loss of $0.857 to the person. Option B) $8.57 loss is the right option.

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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:

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%