Could someone answer this, please? Thank you.

Answer:

a. 30 b. 54

Step-by-step explanation:

a. 3(3+5) + 2(3)

   24 + 6

   30

b. 7(8) + 4 - 8 +2

    56 + 4 - 8 + 2

    56 - 4 +2

    52 + 2

    54

The value of x for the given expression is either -5/2 or 1/2.

Quadratic expressions are polynomial expressions of second degree.

The general form of a quadratic expression is ax² + b x + c.

Given expression is, \(\frac{2x}{2x+5}\) = 5/6 - \(\frac{8}{4x+10}\).

We have to find the value of x.

Simplifying the right hand side of the given expression,

\(\frac{5}{6}\) - \(\frac{8}{4x+10}\) = [5 (4x + 10) - (8 × 6)] / 6 (4x + 10)

             = [20x + 50 - 48] / 24x + 60

             = 20x + 2 / 24x + 60

So the entire expression becomes,

\(\frac{2x}{2x+5}\) = \(\frac{20x+2}{24x+60}\)

Cross multiplying,

2x (24x + 60) = (20x + 2) (2x + 5)

48x² + 120x = 40x² + 4x + 100x + 10

48x² + 120x = 40x² + 104x + 10

8x² + 16x - 10 = 0

Dividing throughout by 8,

x² + 2x - 5/4 = 0

This is a quadratic equation.

We can factorize as (x + p) (x + q) for p and q such that pq = -5/4 and p + q = 2

Two such numbers are 5/2 and -1/2.

(x + 5/2) (x - 1/2) = 0

x = -5/2 or x = 1/2

Hence the value of x can be x = -5/2 or x = 1/2.

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Answer:

Kristi

Step-by-step explanation:

The formula for Simple Interest =

Principal × Rate × Time

For Kristi

Kristi invests $3,000 at a 7.25% annual simple interest rate,

Principal = $3000

Rate = 7.25% = 0.0725

Time = 1

Simple interest = $3000 × 0.0725 × 1

= $217.5

For Kari

Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.

Principal = $3200

Rate = 6.25% = 0.0625

Time = 1

Simple interest = $3200 × 0.0625 × 1

= $200

From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year

(D) is the correct answer. The net force on a current loop in a uniform magnetic field is zero. With a homogeneous magnetization, the net force on any plane-shaped current-carrying loop is zero.

The net torque on something like a previous loop of any shape in a constant magnetic field is computed using =B = B, where B is the magnetic field strength.

Why is there no net magnetic force in a closed loop?

Assumption: Under a uniform magnetic field, the net force on a closed circular conductive loop is zero. Reason: When ever a conducting spherical ring is put in a homogeneous magnetic field such that the magnetism is parallel to the surface of the loops, the torque is produced is zero.

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Answer:

2

Step-by-step explanation:

4, 24, and 36 are divisible by 4, but there is a 6 and 6 is not divisible by 4. However, all the numbers are divisible by 2.

Answer:

8y+2x+2w

Step-by-step explanation:

Answer:

I have literally no idea. Very sorry!

The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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Answer: 69

Step-by-step explanation: Sorry I do not know the answer because I am not smart.  I just need the points so I can answer more questions.  Have a great day though and I wish you luck with your question:)

To identify the state of each process, we need to understand the different states a process can be in.

The common states are:
1. Running: This is the state when a process is actively using the CPU and executing its instructions.
2. Ready: In this state, the process is waiting for the CPU to become available. It is prepared to execute but is currently not running.
3. Blocked: Also known as the waiting state, a process enters this state when it is waiting for an event to occur before it can continue execution. The process is unable to proceed until the event it is waiting for happens.
Let's analyze each time and determine the state of the corresponding process:
1. Time 22:
  - Process: Unknown process
  - State: Unfortunately, without more information, we cannot determine the state of the process at time 22. We would need additional context or details to accurately identify the state.
2. Time 37:
  - Process: Unknown process
  - State: Similar to the previous case, without more information, we cannot determine the state of the process at time 37. Further details or context would be necessary to identify the state accurately.
3. Time 47:
  - Process: Unknown process
  - State: Once again, without more information, we cannot determine the state of the process at time 47. We would need additional context or details to accurately identify the state.
In conclusion, we cannot identify the state of each process at times 22, 37, and 47 without further information or context. If you can provide additional details, we can help you determine the specific state of each process at those times.

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Answer:

\(y^6\), \(12n^6\), \(20x^9\)

Step-by-step explanation:

When you multiply like variables with each other, you add their powers together.

So...

1.   \((y^2)(y)(y^3)\\y^{2+1+3} \\y^6\)

2.  \((3n^2)(4n^4)\\12n^{2+4}\\12n^6\)

3.  \((5x^4)(4x^5)\\20x^{4+5}\\20x^9\)

Length of  side CD is given by the property of similar triangle and the value is 10 inch.

What is similar triangle?

Similar triangles are the triangles when both the triangles  look similar to each other but their sizes might not be exactly the same. In general sense, two objects are similar if they have the same shape but might vary in size. This property of similar shapes is defined to as "Similarity". The symbol of similar triangle is   '∼'

Given FE= 36 inch and FG= 15 inch

Then, GE= 36-15= 21 inch

Now ΔFEC ∼ ΔGED [ By the similarity of triangle]

Let, CD = x inch

so, length of DE = x+4 inch

So by the property of similarity of triangle ,

\(\frac{CE}{CD} =\frac{FE}{FG} \\\\\)

⇒ (2x+4)/x = 36/15

⇒ 15( 2x+4) = 36x

⇒ 30x+ 60=36x

⇒ 6x= 60

⇒ x= 10

Hence, the length of the side CD is 10 inch.

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The type of sampling technique described is stratified random sampling.

In stratified random sampling, the population is first divided into homogeneous subgroups or strata based on some criteria, such as age, gender, income, or education level. In this case, the population was grouped according to age. Then, a random sample is selected from each stratum.

By doing so, the sample represents the entire population better than simple random sampling, as each subgroup is represented proportionally to its size in the population. This technique ensures that there is less variation within each subgroup, which can result in more precise estimates of the population parameters.

In summary, stratified random sampling is a type of probability sampling technique where the population is divided into subgroups, and a random sample is selected from each subgroup.

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Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

500,000

                              OR

five hundred thousand

Answer:

-1/24 < x < 0

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

each number is to double itself and 4 times 2 is 8

The score at the 80th percentile is 67.6.

To find the 80th percentile, we need to determine the score that separates the top 20% of the scores from the rest.

The five-number summary gives us the minimum, maximum, median, and quartiles of the distribution. We can use this information to determine the interquartile range (IQR), which is the distance between the first and third quartiles:

IQR = Q3 - Q1 = 76 - 39 = 37

To find the score at the 80th percentile, we need to add 80% of the IQR to Q1:

score at 80th percentile = Q1 + 0.8 × IQR

= 39 + 0.8 × 37

= 67.6

Therefore, the score at the 80th percentile is 67.6.

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Step-by-step explanation:

I've used elimination method over here but it can also be done by using substitution.

The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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Answer: the answer to this is true

Answer:

Since m∠SRT = 20

Therefore, m∠STR = 20

now

m∠STR +m∠STU = 180 ------------(linear pair angles)

I.e.

20 +4x = 180

i.e. 4x = 180-20

i.e. 4x = 160

i.e. x = 160/4

i.e. x = 40

Thus the value of x is 40 degrees.

Your Welcome!

Answer:

4,096

Step-by-step explanation:

It goes like this 4 * -4=-16, 16*4=64, -64*4=256, etc.

You use the sum of the last number but flip the sin to make it opposite like if your some was + make it a negative to get your next product. Hope that made sense!!!!

Answer:

3 loaves of bread

Step-by-step explanation:

2/3*3=6/3= 2 cups of oil

Three different vectors are [-8, 14],  [-6, 16], and [15, -18].

To find three different vectors that are in the span of the given vectors \(u_1\) = [-3, 8] and \(u_2\) = [-5, 6], we can use linear combinations of these vectors.

Let's call the three different vectors \(v_1\), \(v_2\), and \(v_3\). We can express them as follows:

\(v_1\) = \(u_1\) + \(u_2\) = [-3, 8] + [-5, 6] = [-3 + (-5), 8 + 6] = [-8, 14]

\(v_2\) = 2\(u_1\) = 2[-3, 8] = [-6, 16]

\(v_3\) = -3\(u_2\) = -3[-5, 6] = [15, -18]

Therefore, three different vectors that are in the span of \(u_1\) and \(u_2\) are \(v_1\) = [-8, 14], \(v_2\) = [-6, 16], and \(v_3\) = [15, -18].

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Answer:

−22

On solving the provided question, we can say that w = 10 in; l = 2 in; volume of prism = WL = 10 X 2 = 20 in sq

The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.

here,

w = 10 in

l = 2 in

volume of prism = WL = 10 X 2 = 20 in sq

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To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.

Multiples of 4: 4, 8, 12

---There are 3 possibilities

Total outcomes: 12

3 / 12 = 1/4 = 0.25 = 25%

Probability Amy rolls a multiple of 4 = 25%

Hope this helps!

(t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

(A) An augmented matrix for a system of equations is a matrix of numbers where each column represents all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system's augmented matrix is shown here:

\(\left[\begin{array}{cccccc|c}1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 & 0 \\0 & 1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(B) Use these row operations to convert this augmented matrix to a reduced echelon form.

Here is the augmented matrix's reduced echelon form:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(C) There are more rows:

\(\begin{array}{lllllll}0 & 0 & 0 & 0 & 0 & 1 & 20\end{array},\\\begin{array}{lllllll}1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\)

Augmented matrix:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 0 & 1 & 20 \\1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\right]\)

(D) You must employ these row operations in order to solve the system.

\(\left[\begin{array}{lllllll}1 & 0 & 0 & 0 & 0 & 0 & 5 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & 0 & 0 & 44 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 1 & 0 & 90 \\0 & 0 & 0 & 0 & 0 & 1 & 20\end{array}\right]\)

Therefore, (t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

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Answer:

1) JG = 5

2) ANGLE FKJ = 80DEG

3) ANGLE ADB = 72DEG

4) ANGLE ABD = 90DEG

5) ANGLE AFE = 110DEG

6) ANGLE ACE = 42DEG

Assumption- in the last figure, intersection of BD and CE is at I and Angle BIC = 48 deg