3) Identify the center and radius

The total ratio of the drive is 9.58:1.

Given ratios of the three separate stages of a gear reduction drive are 3:1,2.38:1 and 4.2:1.

To find the total ratio of the drive we have to add the respective ratios.

When the denominator of the ratios are same, as in this case we just have to add the numerators to obtain the result.

Total ratio of the drive = 3:1 + 2.38:1 + 4.2:1 = 9.58:1

So, the total ratio of the drive is 9.58:1.

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a.) The expression of the sketch is:

2 - 1 + 2 - 1 - 1 + 1 = 2

So, the value of the expression is 2.

b.) The expression of the sketch is:

4 - 6 = -2

So, the value of the expression is -2.

c.) The expression of the sketch is:

-1 + 2 - 1 + 1 - 2 + 1 = 0

So, the value of the expression is 0.

d.) The expression of the sketch is:

- 4 + 7 = 3

So, the value of the expression is 3.

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The circle and the elipse in this problem are not congruent because they are of different classes of conics, hence their measures are different.

Congruent figures are figures that are exactly the same, having corresponding sides with the same measure.

In this problem, we have two figures that belong to different groups of conics, which are a circle and an elipse.

The circle has one measure, which is it's radius, while the elipse has two measures, the minor axis and the major axis.

It can be seen visually that the elipse has a horizontal major axis and a vertical minor axis, and the major axis is greater than the minor axis. Since these two measures are not equal, the elipse cannot be congruent with any circle, and it is not congruent with circle B given in this problem.

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The difference between each annual wage figure and the poverty threshold is as shown in the attached completed table.

Annual Income is a term in economics that is calculated by multiplying the Hourly wage by 4,000 hours.

Now, the Difference between annual wage and the federal poverty line is calculated by subtracting the 2019 Poverty threshold of $13,011 from the Annual Income.

The Difference between annual wage and median household income is calculated by deducting the 2019 Median household income of $68,703 from the Annual income. Negative balances are highlighted.

The attached table shows us the completed annual income table

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Answer:

arithemetic because of the continuos multiplication

Answer:

A. I'm pretty sure would be geometric. and the next numbers would be 729, 2187, 6561

B. is arithmetic and the next numbers would be 46, 55, 64

C.is also arithmetic, and the next numbers would be 32, 36, 40

Answer: student A

Answer: Choice A) The average temp is 19/7 or 2.7 degrees Celsius

=======================================================

Explanation:

Ignore the ˚C and focus on the numbers only

We have this set of values

15, 1, -4, 3, -10, -7, 21

Add them up to get

15+1+(-4)+3+(-10)+(-7)+21 = 19

Then divide that sum over the total number of items in the set, which in this case is 7.

That's how we get to 19/7 which approximates to 2.7 when rounding to one decimal place.

a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

In this question, we have been given a trapezoid has coordinates F (−9, 6), G (−6, 9), H (−3, 9), and I (0, 6).

a. We need to dilate the trapezoid by a scale factor of 1/3 with a center of dilation at the origin.

The scale factor is 1/3

so, the coordinates of the image would be,

F' = 1/3 (-9, 6)

   = (-3, 2),

G' = 1/3(-6, 9)

    = (-2, 3),

H' = 1/3 (−3, 9)

    = (-1, 3),

and I' = 1/3 (0, 6)

         = (0, 2)

b. We know that a dilation is a geometric transformation that either enlarges or reduces a figure in size.

As we know, if the scale factor is between 0 to 1 then the image is reduction and if the scale factor is greater than 1 then the image is enlargement.

Here, scale factor is 1/3 which is 0 < 1/3 < 1

So, in this case the dilation is reduction.

Therefore, a) the coordinates of the dilated trapezoid is F'(-3, 2), G'(-2, 3), H'(-1, 3), I'(0, 2)

b) Dilation is reduction.

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Answer: 11

Step-by-step explanation: 8/4.40 = x/6.05

8 times 6.05

Divide by 4.40 is 11

ANSWER

STEP-BY-STEP EXPLANATION:

Given information

Find g(5x)?

Step 1: make x = 5x

The time at which the population of bacteria will be 25,000 is 2:49 pm.

Given that:-

Population of bacteria at 1:00 PM = 5,400

Population of bacteria at 1:20 PM = 9,000

The rate at which a population of bacteria grows is proportional to the size of the population.

We have to find the time at which the population of bacteria will be 25,000.

The rate at which population of bacteria grows = 3600 bacteria/ 20 min = 180 bacteria/min

Let the population of bacteria takes t minutes to become 25,000.

Hence, we can write,

5400 + 180t = 25000

180t = 25000 - 5400

180t = 19600

t = 19600/180

t = 108.889

t = 109 minutes =  1 hour 49 minutes

Hence, the time will be 2:49 pm.

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• Given:

You need to find this probability:

The Binomial Distribution Formula is:

Where "n" is the number of trials, "x" is the number of successes desired, and "p" is the probability of getting a success in one trial.

In this case you know that:

Therefore, by substituting values into the formula and evaluating, you get:

• Given that:

You need to find:

In this case:

Therefore, using the same formula, you get:

• Given:

You need to find:

This is:

Therefore, using the formula, set up:

Then, you get:

Hence, the answers are:

Answer:

z=16

Step-by-step explanation:

1/4 *16=4

and 4 +8=12

Answer:

is that a z or 2?

Answer:

Range is called a set of possible outputs..in an realtion or function.

Every relation is not function but all function is relation

Actually some specified relations are called function.

Thanks

Here Range= {5}

Answer: for the first one, there is no picture i need a picture to solve it that's also for the second one.

Step-by-step explanation:

hope that helps

Answer:

The answer is C.

Step-by-step explanation:

You take 2 values from the graph each for x and y. Use it in finding the gradient:

[tex] gradient = \frac{y2 - y1}{x2 - x1} [/tex]

Your gradient is m. So you replace your answer in the formula:

[tex]y = mx + c[/tex]

where c is the constant

Then you solve solve for x by substituting other values. After finding c, substitute m and c in the equation above but leave x and y like that and you have your equation.

Answer: y=1

Step-by-step explanation:

1. Subtract 4y from both sides to get y + 4 = 5.

2. Then subtract 4 from both sides to get y = 1.

Therefore, you get your answer, y = 1. Hope this helps!

Answer:

1.45

Step-by-step explanation:

1200-800=400

400/275=1.4545454545...

the answer $1.45

Length of the side, x = 11/2

radical form, x = √5.5

The longest side of a right-angled triangle which is the side opposite to the right angle is called hypotenuse. The hypotenuse can be easily found using the Pythagorean theorem. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

As given in question, ∅ = 60°,

Using, Cos ∅ = adjacent/hypotenuse :

Cos 60°= x/11

As we know cos 60° = 1/2

1/2 = x/11

x, length of the side = 11/2= 5.5

radical form = 5.5

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The graph of the solution to this inequality is: C. number line with an open circle plotted at negative eight and arrow pointing left.

A number line simply refers to a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

Next, we would solve the given inequality as follows:

−0.4b + 2.4 < 5.6

Subtracting 2.4 from both sides, we have:

−0.4b + 2.4 - 2.4 < 5.6 - 2.4

−0.4b < 5.6 - 2.4

−0.4b < 3.2

Dividing both sides by -0.4, we have:

b < -3.2/0.4

b < -8

In conclusion, the circle on a number line should be open and would point to the left when the inequality symbol is <.

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A list of all the three-element subsets of the given set include the following:

In order to determine the three-element subsets from the given set {1, 2, 3, 4, 5}, we would have to calculate the number of ways to choose the three (3) elements by applying a mathematical model referred to as combination.

Mathematically, combination is given by this mathematical equation:

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

Where:

Substituting the given parameters into the formula, we have;

Number of ways = ⁵C₃

Number of ways = 5!/(3! × (5 - 3)!)

Number of ways = 5!/(3! × 2!)

Number of ways = [5 × 4 × 3 × 2 × 1]/[3 × 2 × 2 × 1]

Number of ways = 120/12

Number of ways = 10 ways.

Therefore, there are 10 three-element subsets of this set.

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Complete Question:

List all the three-element subsets of the set {1, 2, 3, 4, 5}

The fraction of the man's income left is 3/20.

Let's assume the monthly income of the man is x.

Income spend on children's school fees =  [tex]\frac{1}{4} x[/tex]

Income spend on home affairs =  [tex]\frac{3}{5} x[/tex]

The fraction of his income left with the man is,

Total income - Total expenditure

=  [tex]x-(\frac{1}{4} x + \frac{3}{5} x)[/tex]

=  [tex]x-(\frac{5x+12x}{20})[/tex]

=  [tex]x - \frac{17x}{20}[/tex]

=  [tex]\frac{3}{20}x[/tex]

So the man has 3/20 of his income left with him.

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Given:

The expression is,

Simplify the expression,

Answer:

a) 1.4 to the nearest tenth of the place

b) 1.1 to the nearest tenth of the place

c)0.3 to the nearest tenth of the place

d) 0.5 to the nearest tenth of the place

e) 0.4 to the nearest tenth of the place

f) 0.6 to the nearest tenth of the place

The full number and the fraction are expressed simultaneously using decimals. By adding a "." (known as a decimal point) in this instance, we will divide the whole number from the fraction. Think about taking an ice cream cone as an illustration. Your purchase of ice cream will cost $2 and 50 cents, the dealer informs you. Currently, you would state that the ice cream cone costs $2.50 if you were to describe this amount in a single number. You may be utilizing decimals unknowingly in a variety of these real-world situations.

a) [tex]1\frac{5}{16} =\frac{22}{16}[/tex]

= 1.375

=1.4 to the nearest tenth of the place

b) [tex]1\frac{1}{8} = \frac{9}{8}[/tex]

=1.125

=1.1 to the nearest tenth of the place

c)[tex]\frac{1}{4}[/tex]

= 0.25

= 0.3 to the nearest tenth of the place

d) [tex]\frac{1}{2}[/tex]

=o.5

=0.5 to the nearest tenth of the place

e) [tex]\frac{3}{8}[/tex]

=0.375

=0.4 to the nearest tenth of the place

f) [tex]\frac{9}{16}[/tex]

=0.5625

= 0.6 to the nearest tenth of the place

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Using implicit differentiation, the derivatives of the function are given as follows:

For implicit differentiation, we treat the variables as a function of each other, hence we keep applying the chain rule to find the derivatives.

Supposing a three variable function F(x,y,z) = 0, then the implicit derivatives are given as follows:

In standard format, the function is given as follows:

F(x,y,z) = x^4 + y^2 + z^9 - 8xyz.

Hence the partial derivatives are given by:

Then the implicit derivative relative to x is:

[tex]\frac{\partial z}{\partial x} = -\frac{4x^3 - 8yz}{9z^8 - 8xy}[/tex]

The partial derivative relative to y is:

[tex]F_y = 2y - 8xz[/tex]

Then the implicit derivative relative to y is:

[tex]\frac{\partial z}{\partial y} = -\frac{2y - 8xz}{9z^8 - 8xy}[/tex]

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The first four terms of the binomial series are  1, x, - x²/2 and - 1/32x³ respectively.

The binomial provided to us is [tex](1+2x)^{1/2}[/tex]

To find out the first four terms of the binomial, we shall first extend the standard binomial (1+x)^n.

(1+x)^n = 1 + nx + [n(n - 1)/2!] x² +  [n(n - 1)(n - 2)/3!] x³ +...

As we can see here,

The value of x = 2x,

The value of n = 1/2.

We get,

(1+2x)^1/2 = 1 + 1/2(2x) + [1/2(1/2-1)/2!]x² + [1/2(1/2-1)(1/2-2)/3!]x³ +

(1+2x)^1/2 = 1 + x  - x²/2 - 9/4x³ + .....

From the expansion, we can see,

First term = 1

Second term = x

Third term = -x²/2

Fourth term = -1/32x³.

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Answer:

9*x³ or 9x³

Step-by-step explanation:

a number = x

cubed = to the power of 3

not really much to explain here

Answer:

5

Step-by-step explanation:

use math-way