2. In a certain company, the senior employees have an average of 16 years of work experience and the junior employees have an average of 4 years of work experience. If the average number of years of experience for all the senior and junior members is 7 years, then what is the ratio of senior members to junior members at the company

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

Answer:

Economic conditions

Step-by-step explanation:

If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment

Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.

once the debtor repays the mortgage he retains the full ownership of his property.

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = [tex]\frac{0.7}{2}[/tex] x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

[tex]\frac{1.95}{3.25}[/tex] x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

Answer:

Part 1; The point (m, 4) divides the line externally in the ratio 3:2

Part 2; m = -19

Step-by-step explanation:

Part 1

The given point dividing the line = (m, 4)

The given points on the line = (5, 1) and (-3, 2)

Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)

Therefore, we have;

The vertical distance from 4 to 1 = 4 - 1 = 3 units

The vertical distance from 4 to 2 = 4 - 2 = 2 units

Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2

Part 2

Therefore, we have;

(m - 5)/(m - (-3)) = 3/2

3·m + 9 = 2·m - 10

m = -19

Answer:

y = 11 + √ 73/ 4  , 11 − √ 73 /4

Step-by-step explanation:

Step-by-step explanation:

[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]

[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

Hence explained !

Answer:

-1.13

Step-by-step explanation:

the gape between two points is 0.01 so the required answer is -1.13

Answer:

The first line:

y₁ = (2/3)*x + 6

Has the larger y-intercept, by 5 units.

Step-by-step explanation:

Here we need to find the equation for each line.

First, some theory.

A linear relationship can be written as:

y = a*x + b

where a is the slope and y is the y-intercept.

We know that if the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ -x₁)

And, if a line is:

y = a*x + b

a perpendicular line to that one must have a slope equal to:

-(1/a).

Now we can answer this question.

We know that the first line, let's call it y₁, passes through the points (3, 8) and (-3, 4), then its slope will be:

a = (8 - 4)/(3 - (-3)) = 4/6 = 2/3

then the line is something like:

y₁ = (2/3)*x + b

to find the value of b, we can use the fact that we know that the line passes through the point (3, 8)

this means that when x = 3, we must have y₁ = 8

replacing these in the above equation, we get:

8 = (2/3)*3 + b

8 = 2 + b

8 - 2 = b = 6

then the equation for this line is:

y₁ = (2/3)*x + 6

Now let's find the equation for the other line, that we will call y₂.

We know that this line is perpendicular to:

y = (1/3)*x - 2

The slope of that line is:

a = (1/3)

then the slope of a line perpendicular to that one will be:

slope = -(1/a) = -(1/1/3) = -3

slope = -3

then we have:

y₂ = -3*x + b

to find the value of b, we can use the fact that our line passes through the point (2, -5)

This means that when  x = 2, we must have y₂ = -5

then:

-5 = -3*2 + b

-5 = -6 + b

-5 + 6 = b = 1

b = 1

then this equation is:

y₂ = -3*x + 1

Now we know both equations:

y₁ = (2/3)*x + 6

y₂ = -3*x + 1

Which equation does have the larger y-intercept?

We can see that the first line has an y-intercept of 6, and the second line has an y-intercept of 1, then the first line has the larger y-intercept, and is larger by 5 units.

Answer:

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step-by-step explanation:

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)

Step 2: m∠w − m∠z = 90 degrees (corresponding angles)  

We are adding the angles to form a straight line which is 180 degrees

Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z

Step 4: So, m∠x + m∠y = m∠w

Answer:

195.06

Step-by-step explanation:

area of circle = πr^2 = π8^2 = 64π

area of triangle = 1/2 x 4 x 3 = 6

area of shape = 64π-6 = 195.061929 = 195.06

Answer:

547

Step-by-step explanation:

why because it is

so big

Answer:

Step-by-step explanation:

This question suffers from being incomplete which is why you are likely unable to answer it. The problem is: what does advanced mean.

I'm going to answer this on the basis of what I can see which is just a bachelor's degree.

First find the total of the entire table.

There are 6 entries 224 + 387+547+776+245+322=2501

Now P(Bachelor) = 547 / 2501 = 0.2187

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

[tex]\\ \sf\longmapsto -4d-5=-1[/tex]

[tex]\\ \sf\longmapsto -(4d+5)=-(1)[/tex]

[tex]\\ \sf\longmapsto 4d+5=1[/tex]

[tex]\\ \sf\longmapsto 4d=1-5[/tex]

[tex]\\ \sf\longmapsto 4d=-4[/tex]

[tex]\\ \sf\longmapsto d=\dfrac{-4}{4}[/tex]

[tex]\\ \sf\longmapsto d=-1[/tex]

I dont know the answer lol but imma say B

Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

a. The expanded and simplified form is: -4a + 16

b. The expanded and simplified form is: 3a^2 + 6a

c. The expanded and simplified form is: 6x - 10

d. The expanded and simplified form is: x^2 - x - 6

e. The expanded and simplified form is: x^2 + 8x + 16

Sure, let's expand and simplify each expression step by step:

a. -4(a - 4)

Step 1: Apply the distributive property (multiply -4 by each term inside the parentheses).

-4(a) + -4(-4)

Step 2: Simplify the terms.

-4a + 16

So, the expanded and simplified form is: -4a + 16

b. 3a(a + 2)

Step 1: Apply the distributive property (multiply 3a by each term inside the parentheses).

3a * a + 3a * 2

Step 2: Simplify the terms.

3a^2 + 6a

So, the expanded and simplified form is: 3a^2 + 6a

c. 4x - 2(5 - x)

Step 1: Apply the distributive property (multiply -2 by each term inside the parentheses).

4x - 2 * 5 + 2 * x

Step 2: Simplify the terms.

4x - 10 + 2x

Step 3: Combine like terms.

6x - 10

So, the expanded and simplified form is: 6x - 10

d. (x - 3)(x + 2)

Step 1: Apply the distributive property (multiply x by each term inside the second parentheses and then multiply -3 by each term inside the second parentheses).

x * x + x * 2 - 3 * x - 3 * 2

Step 2: Simplify the terms.

x^2 + 2x - 3x - 6

Step 3: Combine like terms.

x^2 - x - 6

So, the expanded and simplified form is: x^2 - x - 6

e. (x + 4)^2

Step 1: Apply the square of a binomial formula: (a + b)^2 = a^2 + 2ab + b^2

(x)^2 + 2(x)(4) + (4)^2

Step 2: Simplify the terms.

x^2 + 8x + 16

So, the expanded and simplified form is: x^2 + 8x + 16

To know more about simplify:

https://brainly.com/question/17579585

#SPJ2

Answer:

The associative property

Step-by-step explanation:

In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:

[tex]x^n=b[/tex]        [tex]\sqrt[n]{b}=x[/tex]

[tex]a*b[/tex]            [tex]a[/tex] ÷ [tex]b[/tex]

[tex]a+b[/tex]           [tex]a-b[/tex]

Answer:

1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%

Step-by-step explanation:

Answer:

hello,

Step-by-step explanation:

y=k(x-a')²+b'

focus is (a',1/(4k)+b')

2x²=-120y

==> y=-2/120x²

==> y=-1/60(x-0)²+0

focus= (0,-15)