What is the answer to 7k² +9k+1=0

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

learn more about product of vectors: https://brainly.com/question/30394406

#SPJ1

Step-by-step explanation:

x-a

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:

hundred of thousand(my answer)

Answer: Do you have a pic of the question if you do give and  give brainliest for it alright

Step-by-step explanation:

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \(\frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}\)      

                 =  \(\frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}\)

                 =  \(\frac{0.3025}{0.4825}\)

                 =  0.63

Step-by-step explanation:

Notice that:

1st column = (5 - 1)² = 16

2nd column = (11 - 4)² = 49

Therefore 3rd column = (18 - *)² = 121, * = 7.

Answer:

7 is the missing number

Step-by-step explanation:

Let the missing number be x.

Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.

In 1st column ,

Difference of first 2 numbers = 5 - 1 = 4

The bottom number = 16 = 4²

In 2nd column ,

Difference of first 2 numbers = 11 - 4 = 7

The bottom number = 49 = 7²

Similarly ,

Difference of first 2 numbers = 18 - x

The bottom number = 121

\( = > {(18 - x)}^{2} = 121\)

\( = > {(18 - x)}^{2} = {11}^{2} \)

\( = > 18 - x = 11\)

\( = > x = 18 - 11 = 7\)

Answer:

1. You roll two standard number cubes and the sum is 1.

2. You roll a standard cube and get a number less than 2.

3. You draw a black card from a standard deck of playing cards

4. A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.

Step-by-step explanation:

Mark me as brainliest!

Answer:

a sum is a result of adding two or more numbers

Step-by-step explanation:

example : 9 is the sum of 2. 4 and 3 because ( 2 plus 4 us 3 = 9

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

To learn more on surface areas of solids: https://brainly.com/question/31126484

#SPJ1

EXPLANATION:

To find r (annual interest rate); we must solve the formula in the following way:

A= Is the final value that would be obtained after two years

P=It is the current value that you have

T=Number of periods or time

Solution:

The probability of an event is expressed as

Given that:

This implies that the number of possible outcomes is 20.

Provided that once a marble is drawn, it's replaced, the probability of selecting a red marble then a blue marble is expressed as

where

Thus, we have

Hence, the probability of selecting a red then a blue marble is

Answer:

36 ft²

Step-by-step explanation:

1/4(12)²

1/4(144)

36 ft²

The area of the patio if the area of the yard is 12 feet on each side is  36 ft².

The area is the total space occupied by the object, and the area of the square is the square of each of its sides.

Given:

The length of each side of the yard, a = 12 ft,

Calculate the area of the yard by following the formula,

A = a²,

Here A is the area,

A = 12²

A = 144 ft²,

The area of the patio = area of yard / 4

The area of patio = 144 / 4

The area of the patio = 36 ft²

Therefore, the area of the patio if the area of the yard is 12 feet on each side is  36 ft².

To know more about Square:

https://brainly.com/question/27683633

#SPJ2

Answer: on average, players lose $.50 per game

Step-by-step explanation: i just took the test and got a 100!!!

Answer:

On average, players lose $0.50 per game.

Step-by-step explanation:

Got it right on the test.

Answer:

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = \(\frac{d}{dt} A(t)\)

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) (\(\frac{A(t)}{400 - 4t)}\)

                                                             = 12 - \(\frac{2A(t)}{100 - t)}\)

⇒\(\frac{d}{dt} A(t)\) + \(\frac{2A(t)}{100 - t)}\) = 12

Now,

Integrating Factor, I.F = \(e^{\int {\frac{2}{100 - t} } \, dt }\)

                                    = \(e^{-2ln(100 - t)}\)

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = \(12(100 - t)+ C(100 - t)^{2}\)

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - \(\frac{12}{100}\) (100 - t)²

     = 12(100 - t) [ 1 - \(\frac{100 - t}{100}\) ]

     = 12(100 - t) (\(\frac{t}{100}\))

     = \(\frac{3t(100 - t)}{25}\)

⇒A(t) = \(\frac{3t(100 - t)}{25}\)

∴ we get

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

Answer:

10

Step-by-step explanation:

2 × square root of (-19 + 44)

= 2 × square root of 25

= 2 × 5

= 10

Answer:

Step-by-step explanation:

$100x0.5x1=$5

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

Learn more about sets here:

https://brainly.com/question/30096176

#SPJ8

Answer:

(4d-1)+105=180=>

4d-1+105=180=>

4d+104=180=>

4d=76

d=19

With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.

As per the given,

Principle amount P = $500

Rate of interest r = 6% annually

Total investment = P(1 + r)^T

1500 = 500(1 + 0.06)^T

300 = 1.06^T

Take natural logs on both sides

ln300 = T ln1.06

T = 18.3 years

Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".

For more information about compound interest,

brainly.com/question/26457073

#SPJ2

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

Learn more about cylinder from the given link

https://brainly.com/question/27440983

#SPJ1

There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

To learn more on areas: https://brainly.com/question/16151549

#SPJ1

n^2 will still give you an odd integer, but if you add one it will be an even integer

Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

Learn more about integer here:

https://brainly.com/question/490943

#SPJ1

the set of vectors b over Rm so that Ax=b has (at least) a solution, where the rank is the dimension of a column space. False: The rank-nullity theorem states that the null space is 0 if m=n.

Principle of Linear Pairs Two angles are supplementary if they form a pair along a straight line. theorem addition Two angles are congruent if they are the same angle's supplements. The principle of congruent complements Two angles are congruent if they are the same angle's complements.

Theorem 7: To enquire about: the connection here between angle opposite the larger of two sides and also the degree opposite the smaller of two sides. both the side across from the smaller of the two aspects and the side across from the greater of the two angles.

To know more about theorem visit:

https://brainly.com/question/12642646

#SPJ4

Answer:

4^8

Step-by-step explanation:

4^3 * 4^5

We know a^b * a^c = a^(b+c)

4^(3+5)

4^(8)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(4^8\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Simplifying the answer...}}\\\\4^3 * 4 ^ 5\\-----------------\\\text{Recall the exponent rule:}\\\\a^x * a^y = a^{x+y}\\\\\rightarrow 4^3 + 4^5\\\\\rightarrow 4^{3+5}\\\\\rightarrow \boxed{4^8}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.