Graph the line whose y-intercept is -1 and whose x- intercept is 1

Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

The number of points to be removed from the graph is 2

from the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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Answer:

the answers are:

1)75 2)105 3)75

180-150=75

Step-by-step explanation:

It wouldn't let me send a picture but these are the answers. I hope this helps!

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Answer:

\(y = 4\)

Step-by-step explanation:

First, find the derivative of f:

\(\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}\)

Find the instantaneous slope at x = 1:

\(\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}\)

From the point-slope form, find the equation of the line:
\(\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}\)

In conclusion, the equation of the tangent line is y = 4.

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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The value of the variables in the right triangle are as follows;

A right triangle is a triangle that has one of its angles as 90 degrees.

The side of a right triangle can be found by using trigonometric ratios.

Therefore, let's find the variable length of the right triangle as follows;

sin 30 = opposite / hypotenuse

sin 30 = v / 3√2

1 / 2 = v / 3√2

cross multiply

3√2 = 2v

divide both sides by 2

v = 3√2 / 2

Let's find the variable w.

cos 30 = adjacent  / hypotenuse

cos 30 = w  / 3√2

√3 / 2 = w  / 3√2

cross multiply

√3 × 3√2 = 2w

3√6 = 2w

divide both sides by 2

w = 3√6 / 2

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The value of the functions expressed as (f - g)(x) is determined as: (f - g)(x) = -x³ - 5x² + 4x + 14.

The function expression, (f - g)(x) implies that we are to subtract the function g(x) from f(x).

Therefore, given the following as the expression for each of the functions:

f(x) = 2x³ - 3x² + 5

g(x) = 3x³ + 2x² - 4x - 9

Find (f - g)(x) as shown below:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = (2x³ - 3x² + 5) - (3x³ + 2x² - 4x - 9)

Open the parentheses by applying the distributive property:

f(x) - g(x) = 2x³ - 3x² + 5 - 3x³ - 2x² + 4x + 9

Combine like terms

f(x) - g(x) = -x³ - 5x² + 4x + 14

Therefore, (f - g)(x) = -x³ - 5x² + 4x + 14.

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let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Answer:

30 minutes

Step-by-step explanation:

half an hour means 30 minutes

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Option C. The area ≈ 706.86

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

30 in

Step-by-step explanation:

the bottom needs to be longer

Answer:

a= 4.993

c = 5.824

A= 59°

C = 90°

Step-by-step explanation:

b=3, B=31°

Since it's a right angle.

C = 90°

A = 180-90-31

A= 59°

For side a and c

a/sin A = b /sin B

a = sinA * b/sin B

a= sin 59 * 3/sin31

a= 4.993

a = 5

c/sin C = b/sin B

c = sin C * b/sin B

c = sin90 * 3/sin 31

c = 1* 5.824

c = 5.824

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Answer:A. C and O

Step By Step Explanation:                                                                                                                                If atoms have similar electronegativities (the same affinity for electrons), covalent bonds are most likely to occur. Because both atoms have the same affinity for electrons and neither has a tendency to donate them, they share electrons in order to achieve octet configuration and become more stable.

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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Answer:

Mei is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.

Hope this helps!

Answer:

See below

Step-by-step explanation:

If you are squaring a number, and then taking the square root of it, you are essentially undoing the original operation:

\(\displaystyle \sqrt{\biggr(\frac{4}{7}\biggr)^2}=\biggr[\biggr(\frac{4}{7}\biggr)^2\biggr]^{\frac{1}{2}}=\biggr(\frac{4}{7}\biggr)^{2*\frac{1}{2}}=\frac{4}{7}\)

Hence, we are back starting with the original number

Answer:

lol dont know

Step-by-step explanation:

Answer:

125.6 cm

Step-by-step explanation:

Diameter (d) = 40 cm

Circumference = πd

                        = 3.14 * 40

                        = 125.6 cm

Answer:

I think the answer is B, that was what i got

The dimensions which yield the minimum surface area for the open-top, square-based, rectangular metal tank are-

5.2 ft × 5.2 ft × 2.6 ft.

Let x be the side length of the base .

Let y be the container's height.

Surface area equation:

Area = bottom + sides

A = x² + 4xy

Volume equation:

V = l x w x h

71.5 = x²×y

It will be helpful to understand that in terms about one variable as we are interested in minimizing surface area. So let's perform that using the volume equation.

y = 71.5/x²

Adding the following to a surface area equation:

x² + 4x × 71.5/x² = A

x² + 286/x = A

First let's differentiate our equation since a max or min happens whenever the derivative equals zero.

2x - 286/x² = A'

After that, we solve by setting this equal to zero.

2x - 286/x² = 0

(2x³ - 286)/x² = 0

2x³ - 286 = 0

x³ = 143

x = 5.229

This value is then substituted for x in the volume calculation, giving us y.

5.229² × y = 71.5

y = 2.615

Which gives us, after rounding:

5.2 ft × 5.2 ft × 2.6 ft.

Thus, the dimensions which yield the minimum surface area for the open-top, square-based, rectangular metal tank are-

5.2 ft × 5.2 ft × 2.6 ft.

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

(3,9)

Step-by-step explanation:

Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!