HELPS!!! WILL MARK BRAINLIEST!!!!
20x+50=150
Find x

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

HELPS!!! WILL MARK BRAINLIEST!!!!20x+50=150Find X

Related Questions

Find the sum. 69,348 + 76,290

Answers

Answer:

The answer you will be looking for is 145638!

If you need help how to i will explain!


Solve equation.
k+3=14

Answers

To solve the equation, subtract 3 from both sides. The solution is k = 11.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve k + 3 = 14.

The variable is k. Subtract 3 from both sides:

k + 3 - 3 = 14 - 3

k = 11 (solved)

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A car traveled 200 miles in 4 hours.What was the car´s average rate of speed in miles per hour

Answers

Answer:

50 miles per hour

Step-by-step explanation:

You want to put the total amount over the hours.

Max worked 13 hours last week at the grocery store and earned 94.25. If he only worked 5 hours this week, how much money did he earn?

Answers

Answer:

36.25

Step-by-step explanation:

You need to find out how much he makes an hour. To do that you divide how much he made by 13 hours. Which was 7.25. Than multiply 7.25 by 5. And you get your answer which is 36.25.

The same goes for any money scenario when you are trying to find out like how much an individual 'peach' is in the whole bag. Or take it for what you will it was an example.

4. Find the base of a triangle if its height
is 2 3/4 cm and its area is 12 5/8cm². Write
your answer as a mixed number.

Answers

The base of the triangle is 9 2/11 cm.

Given the height of the triangle is = 2 3/4 cm

area of the triangle is = 12 5/8 cm²

we know the area of the triangle is = 1/2 × b × h

but base = ?

therefore, 12 5/8 cm² = 1/2 × b × 2 3/4 cm

convert improper fraction to proper fraction.

101/8 = 1/2 × b × 11/4

101/8 = 11b/8

like terms gets cancelled

101 = 11b

b = 101/11

b = 9 2/11 cm

Hence we get the base of the triangle as 9 2/11 cm.

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A TV show had 3.6 x 10^4 viewers in the first week and 4.1 x 10^4 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.

really need help pls pls

Answers

3.6x10^4 = 36000
4.1x10^4 = 41000

Average is sum of values over number of values = 77000/ 2 weeks

= 38500
In sci. Notation is 3.85x10^4

which paired number is a solution to the equation y=-9x+4
(10,-86)
(-4,-58)
(6,-41)
(-6,57)

Answers

Answer:

(10,-86)

Step-by-step explanation:

Plug in the x values to see if they equal to the y value.

-9(10)+4 = -86.

x = 10

y = -86

what is the value of 5^5/5^2=?

Answers

By using the exponential value calculation, the value of 5^5/5^2 is 125.

How do we calculate an exponential value?

The multiplier is represented by the base B, which is written as "B x," and the exponent "x," which indicates how many times the base is multiplied. When "8" is the base, "3" is the exponent, and the entire equation is the power, the result is 8X8X8=512.

It can be expressed as -

5⁵ / 5² = 5×5×5×5×5 / 5×5

= 5 × 5 × 5

= 5³

= 125

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solve and show your work.

3(2x+3) -4x = -3

Answers

remove the parenthesis
collect the like terms
move constant to the right
calculate the equation and divide on both sides
3(2x+3)-4x=-3
6x+9-4x=-3
2x+9=3
2x=-3-9
2x=-12
divide 12 by -2x
your answer is x=-6

(6d+5)−(2−3d) = what is the answer

Answers

[tex]{ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} [/tex]

Step-by-step explanation:

[tex]{ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}[/tex]

[tex]{ \blue{ \tt{6d + 5 - 2 + 3d}}}[/tex]

[tex] = { \blue{ \tt{9d + 3}}}[/tex]

can somebody help me

Answers

The Initial amount is 14.76 and the decay factor is 1.4 while the percentage rate of change is 40%.

How to express exponential Functions?

We are given the function as;

y = 1.4^(t + 8)

Now, the general formula for an exponential decay function is;

f(x) = abˣ

where;

a = initial amount

b = decay factor

x = number of time intervals

Now, using laws of exponents, our initial function can be written as;

y = 1.4⁸ × 1.4^(t)

Now, 1.4⁸ = 14.76

Thus, we now have the expression as;

y = 14.76(1.4^(t))

Comparing with the general equation of exponential decay gives us;

14.76 = initial amount

1.4 = decay factor

t = number of time intervals

If decay factor is 1.4, then this denotes 140% which means that the percentage rate of change is 40%

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The square of T varies directly with the cube of a and inversely with the square of d; T = 2 when a = 2 and d = 4

Answers

The general formula that describes the variation is T² = 18a³/d²

Direct variation: When a variable x changes directly with another variable y,  it is written in this form;

          x ∝ y.

          This can then be written as;

           x = ky

           Where;

           k = constant rate of change.

Inverse: When one variable x changes in the opposite direction to another variable y,  it is written in this form; x ∝ 1 / y This can then be written as; x = k (1/y) Where; k = constant rate or variation

Combined variation: When a variable x varies directly with variable y and inversely with variable z, we write it in this form;

            x ∝ (y/z)

           This can then be written as;

            x = k (y/z)

           Where;

           k = constant rate or variation

The square of T varies directly with the cube of a and inversely with the square of d.

Note that

square of T = T²

cube of a = a³

square of d = d²

Therefore, we can write;

T² ∝ a³/d²

T² = k (a³/d²)

Since;

T = 4 when a = 2 and d = 3

We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;

(4)² =  k (2³/3²)

16 =  k (8/9)

8k = 16 x 9

8k = 144

k = 144/8

k = 18

Therefore, The overall formula for describing the variation is

T² =  18 a³/d²

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gaussian classes with distinct means, equal class prior probabilities, and common covariance matrix that is not necessarily a diagonal matrix.

Answers

The equal class prior probabilities, gaussian classes with unique means, and a common covariance matrix that isn't always diagonal. The particular choice for ∑ where d is 2 is µ[tex]_{2}[/tex]-µ[tex]_{1}[/tex].

What is a gaussian function?

A Gaussian function in mathematics is a function with the base form and parametric extension for all real constants a, b, and c that are not zero. This function is frequently referred to as a Gaussian. It bears the name of the mathematician Carl Friedrich Gauss. A Gaussian's graph has the recognizable symmetric "bell curve" shape. The parameters a and b determine the height and location of the curve's peak, respectively, while the parameter c, also known as the standard deviation or Gaussian RMS width, determines the width of the "bell." Gaussian functions are frequently used in statistics to characterize the normal distributions, in signal processing to build Gaussian filters, and in image processing where two-dimensional Gaussians are utilized for Gaussian blurring.

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Hi! I really need help with the answer to this question!

Answers

The room has a 68 by 33 square foot space and perimeter.

based on the information provided:

a) The room's area is 8 x 8.5,

=68 square feet.

and the room's circumference is

2(8+8.5) = 33 ft

b). Yes, the baseboard and carpet will have the same area and perimeter.

What is a rectangle's perimeter?

Considering that the polygon's perimeter is equal to the sum of its sides. As a result, the perimeter (P) of a rectangle is given by P = the total of its four sides. P = a + b + a + b (Opposite sides of rectangle are equal)

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24) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 13 vans and 2 buses with 230 students. High School B rented and filled 11 vans and 8 buses with 346 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?​

Answers

The van can carry 13 students and the bus can carry 53 students.

A van can carry = 13

A bus can carry = 53

The equations will be derived from the conditions given in the question:

Let x be the no. of students in van

Let y be the no. of students in bus

     13x + 9y = 646……………(1)

      6x + 3y = 237………………(2)

Multiplying (2) with 3

13x + 9y = 646……………(3)

18x + 9y = 711 …………...(4)

Subtracting equation (3) from (4)

18x + 9y = 711

- (13x + 9y = 646)

We get:

5y = 65

y = 13

Now, plug the value of y into one of the preceding equations:

13x + 9(13) = 646

Solving this we get

x = 53

Hence, The van can carry 13 students and the bus can carry 53 students

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If the area of square 2 is 225units^2 and the perimeter of square 1bis 100. What is the area of square 3

Answers

25 square units
Step-by-step explanation:
square 1 = 100 units (perimeter)
therefore each side = 25 units
square 2 = 225 square units (area)
therefore each side = 15 units
The sequence gradually decreases by 10.
Therefore square 3 each side would be 5 units.
To find the Area =5×5
= 25 square units.

Write the equation of a circle for which the endpoints of a diameter are (-0,0) and (4,-6)

Answers

The above statement describes the equation of a circle whose endpoints of a diameter are (-0,0) and (4,-6):

(x + 2)² + (y + 3)² = 3.6

How do we calculate the formula of a circle?

The simple form equation of a circle is: (x – x1)² + (y – y1)²= r², where (x, y) are arbitrary coordinates upon that circumference of the circle, r seems to be the radius of the circle. and (x1, y1) are indeed the coordinates of the circle's center.

According to the given data:

Given points are:

(-0,0) and (4,-6)

Find that diameter's length using the locations of the locations as well as the distance formula.

d = √((x₂ - x₁)² + (y₂ - y₁)²)

  = √((4 - (-0))² + (-6 - 0)²)

 = √((4 )² + (-6 )²)

= √(16 + 36)

= √(52)

= 7.2

Radius will be r/2

7.2/2

= 3.6

To obtain the coordinates of the center, use the interest in obtaining and the midpoint formula.

[tex]C=\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]

C = (-0 + 4)/2 , (-6 + 0)/2

C = -2 , -3

To write this circle equation, use the radius and the center coordinates.

(x - h)² + (y - h)² = r²

(x - (-2))² + (y - (-3))² = 3.6

(x + 2)² + (y + 3)² = 3.6

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A salesclerk is creating a display of 16 polo shirts and 80 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length?

4
5
8
16

Answers

There may be a maximum of 16 shirts in each row to ensure that all the rows have the same length. Option D

What is the maximum number of shirts in each row so that all the rows are equal in length?

The same elements at play

There are a total of sixteen polo shirts on exhibit.

80 jerseys from various teams are now on exhibit.

Each row is limited to just one kind of polo shirt.

The following are the factors that make up 80:

1, 2, 4, 5, 8, 10, 16, 20, and 80

The factors of 16 are as follows: 1, 2, 4, 8, 16.

The number 16 is the most frequent factor between the numbers 80 and 16.

Therefore, the greatest number of shirts that may be placed in each row such that the length of all of the rows is the same is 16.

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at an inter-species dance party, each cat danced with exactly three dogs and each dog danced with exactly two cats. no one danced with anyone of their own species, and twelve cats attended the party. how many dogs attended the party? (a) 8 (b) 12 (c) 16 (d) 18 (e) 24

Answers

The correct option is (d) 18.

The number if dogs attended the inter-species dance party is 18.

What is combination?

A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the order of a selection is irrelevant. You can choose the items in just about any order in combinations.

Permutations and combinations are often confused. In permutations, however, the sequence of the selected items is critical. For instance, the arrangements ab as well as ba are equal in combinations (regarded like one arrangement), but different in permutations.Combinations are analyzed in combinatorics, but they are also used in other fields such as mathematics and finance.

Now, as per the given question.

If every cat danced with a 3 dogs, the total would be;

3 x 12 = 36 cat and dogs pairs.

Even so, every dogs just danced with 2 cat, implying that there had to be a mix-up. Then,

Number of dogs = 36/2 = 18

Therefore, the total number of dogs present in the inter-species dance party are 18.

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find the length of the side labled x

Answers

now, the picture looks a bit misleading, the angle on the bottom-right corner doesn't look at all like a 20° angle, so let me assume the 20° angle is the angle up above, like you see in the picture below, because that looks like a 20° one, and the number there, is not very clear which one is pointing to.

[tex]\cos(64^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{18}}\implies 18\cos(64^o)=h \\\\[-0.35em] ~\dotfill\\\\ \cos(20^o )=\cfrac{\stackrel{adjacent}{h}}{\underset{hypotenuse}{x}}\implies x=\cfrac{h}{\cos(20^o )}\implies x=\cfrac{18\cos(64^o)}{\cos(20^o )}\implies x\approx 8.4[/tex]

Make sure your calculator is in Degree mode.

In a 36% sale, the price of a phone reduced by $135.
Find the original price of the phone.

Answers

Answer:

$210.94

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

The original price was $375.

Step-by-step explanation:

The original price of the phone is x.

36% of x is $135.

0.36x = 135

x = 135/0.36

x = 375

Answer: The original price was $375.

does someone mind helping me with this? Thank you!

Answers

Answer:

196m²

Step-by-step explanation:

area is w multiplied by h so 14x14

Answer:

196 [tex]m^{2}[/tex]

Step-by-step explanation:

The area of a rectangle is length times width.  A square is a type of rectangle that has four equal sides, so if we know one side we know all four.

A = l x w

A = 14m x 14m

A = 196[tex]m^{2}[/tex]

find the largest value of $n$ such that $5x^2 nx 48$ can be factored as the product of two linear factors with integer coefficients.

Answers

If we can write

[tex]5x^2 + nx + 48 = (ax + b) (cx + d)[/tex]

then expanding the right side gives

[tex]5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd[/tex]

so that [tex]ac=5[/tex], [tex]ad+bc=n[/tex], and [tex]bd=48[/tex], where [tex]a,b,c,d[/tex] are integers. We want to maximize [tex]ad+bc[/tex].

5 is prime, so [tex](a,c)[/tex] can be either (1, 5) or (5, 1). Let [tex]a=5[/tex] and [tex]b=1[/tex]. Then maximizing

[tex]ad+bc=5d + c[/tex]

is just a matter of picking the largest possible value for [tex]d[/tex], which is 48. Then [tex]\max\{ad+bc\}=5\times48+1\times1=\boxed{241}[/tex].

A figure has two pairs of parallel sides and four right angles. The figure is translated four units down. how many parallel sides does the image have?

Answers

Additionally, the picture would contain two parallel side pairs.

What are parallel lines?

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

How many sides of the picture are parallel?

The parameters are as follows:

two parallel side pairsFour equal angles.4 units less translation

A stiff transformation is the translation transformation.

This indicates that it maintains the orientation that is changing.

Two sets of parallel sides comprise the initial figure.

There would be two sets of parallel sides on the picture as a result.

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Chapter 15 Questions 4) In the diagram below, ABCD is a rectangle and triangle DEF is formed by joining the midpoints of AB and BC. a) determine the area of rectangle ABCD in terms of x and y, b) If the shaded area of triangle DEF is 15m², determine the value of xy. c) Hence, determine the area of triangle EBF​

Answers

a) The area of rectangle ABCD in terms of x and y = 4xy.

b) xy = 10

c) area of triangle EBF​ = 5 m².

What is defined as the rectangle?A rectangle is a covered two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The length of the rectangle is the longer side, and the width is really the shorter side.

Part A) The area of rectangle ABCD:

See the diagram;

The length of rectangle is 2x.

The width of breadth is 2y.

Area = length×breadth

Area = 2x × 2y

Area of ABCD = 4xy m².

Part b) value of xy.

The area of the triangle DEF is 15m².

area ΔDEF = area ABCD - area ΔADE - area ΔBEF - area ΔDFC.

Put the values;

area ΔDEF = 4xy - 2xy/2 - 2xy/2  - xy/2

area ΔDEF = 3xy

equate;

ΔDEF = 3xy and DEF = 15m².

3xy/2 = 15

xy = 10

Thus, the value of xy = 10.

Part c) area of triangle EBF​:

area ΔEBF = xy/2

Put the value of xy = 10.

area ΔEBF = 10/2  = 5

Thus, the area of the triangle EBF 10m².

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Mount Everest has an elevation of about 8850 meters.
Any location above 8000 meters is in the death zone,
which is the elevation at which there is not enough
oxygen to sustain human life. Write an inequality
that represents the possible elevations of climbers
in the death zone on Mount Everest.

Answers

The inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850

How to write an inequality that represents the possible elevations of climbers in the death zone on Mount Everest.

The given parameter is'

Height = About 8850 meters

Death zone = Location above 8000 meters

Let the height be represented with x

So, the inequality that represents x is

Death zone  < x ≤ Height

This gives

8000 < x ≤ 8850

Hence, the inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850

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Eli and Ana have the same number of dumplings for dinner. There are d dumplings in each container. Which equation represents the situation?

Answers

The equation that represents the equal distribution of ' d ' dumplings among Eli and Ana is -

x = nd/2.

What is unitary method?

Unitary method is used to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given is a situation in which Eli and Ana are having dinner. They both have same number of dumplings to eat and each dumpling container contains 'd' dumplings.

Let's assume that there are 'n' containers of dumplings and both Eli and Ana got 'x' number of dumplings. Now -

In 1 container we have - 'd' dumplings

In 'n' containers, we will have -  n × d   dumplings.

Both Ana and Eli got same number of dumplings = x.

Therefore -

x + x = n × d

2x = nd

x = nd/2

Therefore, the equation that represents the situation is -

x = nd/2

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A student did six of ten problems correctly.
a. What is the ratio of the number right to the number wrong?
b. For every two answers that were wrong, how many answers were right?
5 feet.

Answers

The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

Ratio, in mathematics, is a term  used to compare two or more numbers. It is used to indicate the size of one quantity relative to another.  In a report, two quantities are compared by division. Here the dividend is called the "prepayment" and the divisor is called the "consequence".

For example, in a group of 30 people, 17 of them like to walk in the morning and 13 of them like to ride a bike. We use the ratio formula while comparing the relationship between two numbers or quantities.

The general form of representing the ratio  between two quantities, for example "a" and "b", is a:b, read as "a is b".

i) Total number of problems =10

Correct problems = 6

Incorrect problems = 4

Ratio =  Correct / incorrect

Ratio = 6/4

Ratio = 3/2

= 3 : 2

ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.

Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.

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=
REAL NUMBERS
Simplifying a ratio of whole numbers: Problem type 1
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
35 to 30

Answers

The simplest form of the ratio 35:30 is 7/6.

Given, the ratio is 35:30

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio.

We can refer to a fraction as being in its simplest form when it cannot be further spelled out or reduced. Divide the denominator and numerator by their respective least common multiples to reduce a fraction.

divide the numbers by 5

35/30

= 7/6

therefore the simplest fraction is 7/6.

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Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5

Answers

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]

Doing the same for v

[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]

Now adding both vector together

[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]

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Which accounting course focus on the preparation of external financial statements by applying generally. accepted accounting principles How did the government of athens work? Which of the following animals generally has the lowest volume of urine production? a. vampire bat b. salmon in fresh water c. marine bony fish d. freshwater bony fish what is the average rate of the reaction over the first 580 seconds? 1.6 103 1.9 103 2.0 103 2.2 103 To make pizza sauce for 2 pizzas, you need 2 cans of tomato sauce for every 1 can of tomato paste. If you have 6 cans of tomoto sauce, how many cans of tomatoe paste do you need and how many pizzas can you make? If the price of automobiles were to decrease substantially, the demand curve for public transportation would most likely? Why is the bombardier beetle relevant in the evolution vs. creationism discussion? what do you think the bombardier beetle shows us in this debate? helpp?Which is a common link between all religions? I really need someones help, ty!2. Compare and contrast independent and dependent variables.3. Compare and contrast scientific investigation and experiment.4. Why do we need to replicate experiments?7. Define scientific investigation, experiment, model, hypothesis, andscientific method.8. What are the types of scientific investigations? Define them.9. How do we perform a scientific investigation (sequence of events)?13. Describe benefits and limitations. Give 3 benefits and limitations of scientificinvestigations and experiments.14. Why do we use models in science? Which is NOT a factor which affects communication?A. Not understanding a messageB. AggressionC. Not agreeing with the messageD. Not hearing the message advertising occurs when a consumer is ""unjustifiably injured"" or there is a ""violation of public policy."" Find the distance between the following pair of points. A(-3,1), B(7,13) when a bank decides whether or not to make a loan to a customer it knows will be unlikely to be able to repay the loan, this is an example of: corporate sustainability initiative an ethical issue social responsibility initiative 5.) Joey is saving money for a car that will cost at least $2500. His grandpa gave him. $460 and he is currently saving $15 each week. Write and solve an inequality to represent the number of weeks it will take Joey to save up for his car. to be effective, why must agreement aimed at preventing or reducing ozone depletion be international? I have to get it done.. it's pass due george hawkins versus edward r. b. mcgee, a case from the supreme court of new hampshire, decided june 4, 1929, and reported at volume 146, page 641, of atlantic reporter. QuestionIf A {3,7,9,13, 22}, B = {5,7,14, 23, 31), and C= {8, 9, 15, 23, 25, 31, 33), then what is (AUB) nC?Provide your answer below: life-span development is defined as the pattern of change that begins blank and continues blank Due to the ---------- of qualifiedwaitstaff, the restaurant had toto a carry-out only policy toavoid bad reviews of the dine inservice.-- A significance error is an error that occurs from drawing an incorrect conclusion about the __________ within a study. a. critical value level b. level of statistical support c. number of participants d. level of power