Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...

Answer:

[tex]-13\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]

[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]

[tex]-\frac{23}{3} -\frac{11}{2}[/tex]

Prime factorization of the numbers:

3 = 3 × 1

2 = 2 × 1

LCM of (3, 2) = 6

2 × 3

= 6

[tex]-\frac{79}{6}[/tex]

[tex]-13\frac{1}{6}[/tex]

Answer:

3/20

1/5

Step-by-step explanation:

Sample space :

10 - faced die :

(1, 2, 3, 4,5, 6, 7,8, 9, 10)

Coin = (H, T)

P(H) = 1/2

Multiple of 3 = 3, 6, 9 = 3

P(Multiple of 3) = 3 / 10

P(H and multiple of 3) = 1/2 * 3/10 = 3 /20

2.)

P(tail) = 1/2

Prime numbers = (2, 3, 5, 7) = 4

P(A prime number) = 4 / 10

P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5

Answer:

28 meters²

Step-by-step explanation:

Area of triangle = 1/2(base x height).

It is given that:

base = 4 meters

height = 14 meters

Plug in the corresponding numbers to the corresponding terms:

Area of the triangle = 1/2(4 * 14)

Area of the triangle = (4 * 14)/2

Area of the triangle = 56/2

Area of the triangle = 28 meters²

Answer:

The answer is 28 meters^2.

Step-by-step explanation:

To solve for the area of the triangle, start by using the area of a triangle formula, which is A= [tex]\frac{1}{2}[/tex] bh.

Next, plug in the information from the question into the formula. The formula will look like A= [tex]\frac{1}{2}[/tex](4)(14).

Then, solve the equation, and the final answer will be 28 meters^2.

9514 1404 393

Answer:

  m = 18

Step-by-step explanation:

In an arithmetic progression, the middle term of three is half the sum of the terms on either side.

  a1 +a3 = 2(a2)

  (m +9) +(2m +7) = 2(2m -1)

  3m +16 = 4m -2 . . . . . . collect terms

  18 = m . . . . . . . . . . . . . . add 2-3m

Answer:

z₁(s)  = - 1.53

Step-by-step explanation:

a)  Value of  z   or   z₁(s)   area to the right is .9370

 1  -  0.9370  =  0.063

Then if area to the left is   0.063     z₁(s)  = - 1.53

Points J, K and M form a triangle.

In this triangle you are given the angles for JKM (50) and KJM (60)

The 3 inside angles of a triangle need to equal 180.

The third angle JMK would be 180 minus the two given angles:

JMK = 180 - 50 - 60 = 70

JMK = 70 degrees

[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]

Note:-

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

11^2 = 121.

11 * 11 = 121.

AnSwer:

Step-by-step explanation:

YOUR ANSEWR IS

121 Evaluate.

Answer: k = 8

Step-by-step explanation:

-3k + 30 = 6

-3k = -24

k = 8

Answer:

k = 8

Step-by-step explanation:

6 = -3(k - 10)

Divide each side by -3

6/-3 = -3/-3 *(k - 10)

-2 = k-10

Add 10 to each side

-2+10 = k-10+10

8 = k

Answer:

A) 6

Step-by-step explanation:

Answer:

volume = 7/8 cubic units

Step-by-step explanation:

[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]

Answer:

Sydney is incorrect

Step-by-step explanation:

We cannot start adding Tanks A and B because they have a different denominator.

So we have to find the Least Common Denominator (LCD)

The LCD is 18 so...

[tex]\frac{2}{3} =\frac{12}{18}[/tex]  

I'm sorry I gtg to class...

Answer:

f. for the x values I think its -1 & 5

Answer:

2/8 - 1/5x

1/4 - 1/5x

5/20 - 4/20x

*all possible answers listed above*

Step-by-step explanation:

Are there choices?

Answer:

870,406

Step-by-step explanation:

870,046

Hope this helps

Answer:

The length would be 25/5 which is 4.8

Answer:

l=8 or -3

Step-by-step explanation:

You can write this into an equation!

It will be l*(l-5)=24

Now, we can just solve.

We have to expand the equation and so on.

Answer:

Step-by-step explanation:

since they are in continued proportion the ratio will be

3/8=9/x

do cross multiplication

8*9=3*x

72=3x

72/3=x

24=x

therefore x =24

Answer:

ans is 24

Step-by-step explanation:

soln

the 3 8 9 and x are in proportion

so 3/8=9/x

3x=72

x=72/3

x=24

[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]

Step-by-step explanation:

DAG = DG

120=120°

DHG + DG =360°

DHG +120° =360°

DHG+120°-120°=360°-120°

DHG°=240°

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Suppose the probability at a light bulb factory of a bulb being defective is 0.11

This means that [tex]p = 0.11[/tex]

Shipment of 133 bulbs:

This means that [tex]n = 133[/tex]

Mean and standard deviation:

[tex]E(X) = np = 133*0.11 = 14.63[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]

Rounding to the nearest integers:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Answer:

The answer is B

Hope this helps

Brainliest??

Answer:

3<+2=13 is the answer

Step-by-step explanation:

Answer:

0.8214

Step-by-step explanation:

We have

F(x) = 1/b-a

With b = 7

And a = 0

Such that we have

1/7-0

= 1/7

Probability of x> 1.25

7-1.25

= 5.75

1/7 x 5.75

= 0.8214

Therefore the probability that a randomly selected passenger has a waiting time more than 1.25 minutes is = 0.8214.

Thank you!

Answer:

Step-by-step explanation:

We get to use the simple version of the half life equation:

[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,

N0 is the initial amount of the element,

t is the number of years (our unknown), and

H is the Half life of the element. For us,

N is 61

N0 is 70,

t is unknown,

H is 24 years. Filling in:

[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:

[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:

[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:

[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:

[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:

t = 4.8 years

Answer: The probability that a value is less than 36.8 is 0.9993.

Step-by-step explanation:

Let X be the random variable that normally distributed.

Given: [tex]\mu=32,\sigma=1.5[/tex]

The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]

[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]

Therefore, The probability that a value is less than 36.8 is 0.9993.

Answer:

C. √18, √7, 5

Step-by-step explanation:

_____________

Answer:

4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8

Step-by-step explanation:

Answer:

4. 254.47ft^3

5. 4247.43yd^3

6. 21714.69 in^3

7. 4712.39 ft^3

hope this helps

have a good day :)

Step-by-step explanation:

y = ( x + 9 )^2 - 2

................................

................................