Multiply: 0.55(8, 000)

​

Answer:

a = 3

Hope this helps :)

Explanation and Check part below.

Step-by-step explanation:

1. Isolate the variable by doing the inverse operation which is in this case subtracting 2 on both sides of the equation.

a + 2 = 5

- 2 - 2

a = 3

Check:

1. Substitute a with the solution 3.

3 + 2 = 5

5 = 5 ✓

The interval notation that expresses the statement is (-∝, 1]

The statement is given as:

The set of all numbers less than or equal to 1

The above can be represented as:

<= 1

Represent the set with variable x

So, we have

x <= 1

As an interval notation, we have (-∝, 1]

Hence, the interval notation that expresses the statement is (-∝, 1]

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Answer:

10 분

Step-by-step explanation:

Step-by-step explanation:

Given that

To find

So, according to the question

we have,

We know that,

  Probability P(E) = [tex]\frac{possible\;events}{no.\;of\;events}[/tex]

There is,

possible event is 1, and no. of events are 5.

So, we can say that

   [tex]P(E) = \frac{1}{5}[/tex]

Answer:

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As a result, 95% of the students had grade point averages ranging from 1.83 to 3.39.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end.

The normal distribution is also known as the bell curve because the probability density graph resembles a bell. It is also known as the Gaussian distribution, after German mathematician Carl Gauss, who described it initially.

A bell-curve distribution is a normal Distribution.

Let X be the grade point averages of undergraduate students at one university.

X ~ Normal Distribution(2.61,(0.39)2)

P(1.83 < X < 3.39)

= P(X < 3.39) - P(X < 1.83)

= P((X - μ)/σ < (3.39 - 2.61)/.39) - P(((X - μ)/σ)< (1.83 - 2.61)/039)

= P(z < 2) -P(z < -2)

= P(-2 < z < 2)

Thus, given a regular normal distribution (μ=0, σ =1), z is between 2 standard deviations away from the mean.

According to the Empirical Rule, 95% of the data obtained after a normal distribution is within two standard deviations of the mean.

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Answer:15 big boxes with 189 notebooks each: 20 * 200 = 4,000

12 small boxes with 79 notebooks each: 10 * 80 = 800

4,000 + 800 = 4,800

There are approximately 4,800 notebooks, this is an overestimate as I rounded up.

Step-by-step explanation:

Answer:

Per acre will cost 6200

70 acres will cost 434,000

Step-by-step explanation:

you’re buying 60 acres Of farmland at a cost of 372000

1) What is the cost per acre

In order to find the cost per acre we divide the values which is;

➟ 372000 ÷ 60

➟ 6200

∴ it will cost 6200 per acre

2) What would be the cost for 70 acres

to find how much it will cost for 70 acres we will multiply the value per acre by 70 which is;

➟ 6200 × 70

➟ 434,000

∴ it will cost 434,000 for 70 acres

During an isosceles triangle two angles are identical, adding up to a total of 180, and its x value is 78.

Isosceles triangle: what is it?

In geometry, an isosceles triangle is one with at least two sides of equal length. There are two ways to define it: either as having precisely two sides of equal length or at least two sides of equal length, with the equilateral triangle being an exception to the second definition.

The aforementioned claim states that a triangle's total number of angles is 180.

the total of all angles in a triangle is 180.

⟹24+x+x=180

24+2x=180

12+x=90

x=90−12

x=78

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Answer:

-1 /22

Step-by-step explanation:

1his is a fraction kinda thing so put -1 at the top like a numerator and the 22 go at the bottom like the denominator

Answer:2

Step-by-step explanation:

42 bologna sandwiches were made

The ratio is given as

Cheese : Bologna : Peanut butter = 5 : 7 : 8

Also, we have

Total = 120 sandwiches

The number of bologna sandwiches made is calculated using

Bologna = bologna ratio/total ratio * 120

So, we have

Bologna = 7/(5 + 7 + 8) * 120

Evaluate

Bologna = 42

Hence, 42 bologna sandwiches were made

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Step-by-step explanation:

a1 = 2

a2 = a1 + 9 = 2 + 9 = 11

a3 = a2 + 9 = 20

a4 = a3 + 9 = 29

a5 = a4 + 9 = 38

a6 = a5 + 9 = 47

Answer:

39

Step-by-step explanation:

1) Remove parentheses.

18 + 21

2) Simplify.

39

Thanks,
Eddie

Quick hint:

When there is a number and then a - sign outside the parenthesis and on the inside, then it creates a figure similar to the plus sign, that is when you just make it one.

Add the two numbers (both are always positive in this instance),

and there's your answer!

Step-by-step explanation:

cross multiply both sides

2(6x+1)=3(5x–2)

12x+2=15x–6

collect like terms

+2+6=15x–12x

8=3x

divide both sides by 3

8\3=3x\3

therefore, the final answer is

8\3

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The rate unit of the cost of the juice bought by Megan is  $1.28 per quart.

For the given question;

The price of 2-quart bottle of juice bought by Megan = $2.56.

For calculating the price of 1 bottle, simply divide the total cost by number of bottles.

Price of a single quart bottle = $2.56/2.

Price of a single quart bottle = $1.28 per quart.

Thus, the price of single quart bottle of juice is 1.28 per quart.

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Equation of the line in point slope form passing through (-10,8) for the given coordinates (-10,8), (-5, 7) , (10,4), (15,3) of linear equation  is

(y - 8)=(-1/5)(x+ 10).

As given,

Given points of linear equation: (-10,8), (-5, 7) , (10,4), (15,3)

Consider (x₁, y₁)=(-10,8) and (x₂ ,y₂)=(-5,7)

Slope 'm'=(y₂-y₁)/(x₂-x₁)

                =(7-8)/(-5+10)

                =-1/5

Equation of line passing through (-10,8) in point slope form:

y-y₁=m(x-x₁)

⇒(y -8)=(-1/5)(x+10)

⇒y=1/5(-x+30)

Therefore, equation of the line in point slope form passing through (-10,8) for the given coordinates (-10,8), (-5, 7) , (10,4), (15,3) of linear equation  is

(y - 8)=(-1/5)( x + 10).

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The line of reflection of the given congruent angles is the y-axis.

A line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image

Now, from the attached image, we see that the two given congruent triangles are; ΔAHJ and ΔADB

Now, we see that the coordinates are transformed as folllows;

D(5, 2) → H(-5, 2)

B(3, 0) → J(-3, 0)

Now, this type of transformation follows the transformation rule; (x, y) → (−x, y). This means it was reflected over the y-axis.

This the line of reflection of the given congruent angles is the y-axis.

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Answer:

20, 21,22,23

Step-by-step explanation:

Consecutive means in order.  Integers are the set of whole numbers and their opposites: ...-3,-2,-1,0 ,1,2,3...

Let x = the one sibling

Let x + 1 = the second sibling

Let x + 2 = the third sibling

Let x+4 = the fourth sibling.

If you add the four siblings together they equal 86

(x) + (x +1) + (x + 2) + (x+3) = 86  I put the parentheses in so that you can see each sibling, but it is not needed.

x + x+ 1 +x + 2 + x+ 3 = 86  Combine like terms

4x + 6 = 86  Subtract 6 from both sides

4x = 80  Divide both sides by 4

x = 20

The first sibling is 20, then 21, then 22 and finally 23

Check:

20 + 21 + 22 + 23 = 86

a) A minimum of number of dogs that could have a mass of more than 24 kg is 6.

b) The maximum number of dogs that could have a mass of more than 18 kg is 20.

Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.

The minimum of the values present in the interval 20 to 40 is 6

The maximum of the values present in the interval 20 to 40 is (12+6) = 18

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Answer:

400

Step-by-step explanation:

[tex]R(x)=\frac{2000x^2}{x^2+4}[/tex]

Since x represents the number of years since publication, the revenue at the end of the first year would be found by just plugging in 1 into the function.

[tex]R(1)=\frac{2000(1)^2}{(1)^2+4} \\\\R(1)=400[/tex]

The required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and  3.) 1 / 4.

Here,
A jar consists of 4 red marbles, 5 yellow marbles, 3 green marbles, and 3 blue marbles.
Total number of marbles = 15

1) probability that the outcome contains green and/or blue marbles only,
= 2 / 6 = 1 / 3

2.)  probability that the outcome contains only green marbles,
= 3 / 15 = 1 / 5

3.) the probability that the outcome contains no green marbles,
  = 3 / 12 = 1 / 4

Thus, the required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and  3.) 1 / 4.


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From the graph of the fifth root function, we have that:

In a graph:

Hence, since the given graph has no holes, and keeps going to infinity, we have that both the domain and the range are all real values.

Since the function has no holes, it is also continuous, and has no vertical asymptotes.

For this problem, we have that the function is moving right and up over it's entire domain, hence it is increasing for all real values, and never decreasing nor constant.

Since the graph passes through the origin, we have that:

For this problem, looking at the graph, we have the the second statement holds true for all values of x, hence the function is odd.

It is given by the values of y when x -> ∞.

Hence:

For the end behavior, y -> - ∞ when x -> -∞ and y -> +∞ when x -> +∞.

Since f(x) -> ∞ when x -> ∞, the function has no asymptotes.

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Answer:

x=2

Step-by-step explanation:

Because these angles are the same you can do: 10x-14=7x-8. By doing simple math you'll get x=3 as you answer

Answer:

x = -18/7 y simplified as -2.57143y

Step-by-step explanation:

to figure this out and find the excluded value, first set the denominator equal to 0, because fractions represent division and dividing by 0 isn't defined. that will give us 7x+18y=0.. move the variable to the right hand side and change it sign.. which will be 7x=-18y, now divide both side by 7, = x=-18/7y / -2.57143y

Answer:

Step-by-step explanation:

Let the hours of actual work be x and total charge be y.

Total amount of charge is:

Total amount of charge is:

Since y is same for both companies, set the equation and solve for x:

Answer:

$3:00

Step-by-step explanation:

let 'x' be the money that the parents gave to Jane and her sister each

Jane will have 7+x dollars

Jane's sister will have 2 + x dollars

Jane had twice as much money as her sister thus

7 + x = 2(2 + x)

7 + x = 4 + 2x

4 + 2x = 7 + x

2x - x = 7 - 4

x = $3

the parents gave $3 to each.

Answer:

B. The airplane starts its descent from an altitude 500 feet higher

Step-by-step explanation:

f(x) = −300x + 30,000

the function itself represents the airplane's altitude. the y intercept, 30,000 ft, then represents the initial starting position of the plane.

when it changes

g(x) = −300x + 30,500

only the y intercept changes. it's now 30,500 ft, which is 500 more than before. that means the plane initial position is 500 feet higher.

since the term with x doesn't change, the rate will not be affected. the answers with slower or faster talks about rate, which isn't what changed.