Graph this function.
f (x) = ¾x -2

Slope m2=90°

The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane. Slope can be calculated using different methods, given the equation of a line or the coordinates of points lying on the straight line.

given that, since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel.

so we can conclude since m1=90° the m2 is also = 90°

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Answer:

M2 slope = 90°

Step-by-step explanation:

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of approaches.

Given that parallel lines must have the same angle from the horizontal and that slope is a measurement of that angle, parallel lines must therefore have the same slope, therefore lines with the same slope are parallel.

We can then deduce that if m1=90°, m2 must also be 90°.

Therefore the value of x is 2.

Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

We can write this as follows

aˣ ⁺ ⁿ = aˣ * aⁿ

2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ

2ˣ * 2ˣ * 2 +  2ˣ * 2² = 12 * 2ˣ

By taking common terms aside we get

2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ

By canceling the like terms we get

2ˣ + 2 = 6

2ˣ = 6 - 2

2ˣ = 4

2ˣ = 2²

∴ x = 2

Therefore the value of x is 2.

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Answer:

5

Step-by-step explanation:

that is hte anwers

The length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

It should be noted that the total surface area will be calculated thus,:

= 2πr(h + r)

It was stated that the radius and the.lebgth are the same and that the area is 196. This will be:

2πr(r + r)

= 2πr(2r)

= 4πr²

Therefore, 4πr² = 196

πr² = 198/4

πr² = 49

πr² = 49

r² = 49/π

r = 7√π

Therefore, the length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.

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Answer:

x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5x-2}[/tex] = [tex]\frac{3}{6x+1}[/tex] ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet then 145 is the position of the submarine relative to the surface of the ocean now.

Two expressions with an equal sign is called as Equation.

If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet. we need to find the position of the submarine relative to the surface of the ocean now.

The submarine initial position=310 feet.

To pass above an underwater mountain, or seamount, it rose =165 feet.

The position of submarine is

310-165

=145 feet.

Therefore  the position of the submarine relative to the surface of the ocean now is 145 feet.

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Answer: 148.50

Step-by-step explanation:

15*5=75

75*$1.98=$148.50

The time taken to ascend from the initial height to the final height; Time taken = 5 minutes

We are given;

Initial Height = 6000 ft

Final height = 6600 ft/min

Speed = 6600 ft/min

Now, the time taken to ascend from the initial height to the final height;

Time taken = (39000 - 6000)/6600

Time taken = 5 minutes

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It should be noted that the correct matching of the expressions illustrated will be:

a. (2^3)(2^2) = 32

b. 2^(-2) x 2^(-3) = 1/32

C. (2^3) x (2^-3) = 1

d. (2^2)^3 = 64

e. 2^2/2^3 = 1/2

f. 2^3/2^2 = 2

It should be noted that (2^3)(2^2) will be:

= 2³ × 2²

= 8 × 4

= 32

b. 2^(-2) x 2^(-3) will be illustrated as:

= 1/4 × 1/8

= 1/32

C. (2^3) x (2^-3)

= 8 × 1/8

= 1

d. (2^2)^3

= 4³

= 64

e. 2^2/2^3

= 4 / 8

= 1/2

f. 2^3/2^2

= 2³ / 2²

= 8 / 4

= 2

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Answer:

6/20, 9/30, 12/40

Step-by-step explanation:

Original fraction: 3/10

How I got: 6/20

3 x 2 = 6

10 x 2 = 20

How I got: 9/30

3 x 3 = 9

10 x 3 = 30

How I got: 12/40

3 x 4 = 12

10 x 4 = 40

Answer:240

Step-by-step explanation:

400/5 = 80
80 x 3 = 240
240/400 people bought choc chip

Answer:

Step-by-step explanation:

31

The cost per passenger for no wind conditions is $199 and 33 cents

Ground speed, 'x' = 500 ± 0 = 500 miles/h;

Cost per passenger is given by;

C(x) = 100 + x/15 + 33000/x;

Put x = 500;

C(500 miles/h) = 100 + 500/15 + 33000/500

C(500 miles/h) = $199.33

The cost per passenger for no wind conditions = $199 and 33 cents;

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The complete proof are;

Suppose m ∠WOX ≠ 90°. By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given.

Therefore, the assumption is not true and m ∠WOX = 90°.

What are Supplementary angles?

The two angles are called supplementary angles when sum of both angles are 180 degree.

Given that;

m ∠WOZ = 90°

Now, The proof of m ∠WOX = 90° is given as;

Suppose m ∠WOX ≠ 90°.

By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  

⇒ m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

⇒ 90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given assumption.

Therefore, The assumption is not true and m ∠WOX = 90°.

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y < -14ory > 0

Rearrange variables to the left side of the equation: 3|y+7| >5+16

Calculate the sum or difference: 3 |y+7| >21

Divide both sides of the inequality by the coefficient of the variable: |y+7| >[tex]\frac{21}{3}[/tex]

Reduce the fraction:  |y+7|>7

Convert the absolute inequality to standard inequality:  y+7 >7ory +7 < -7

:y < -14ory > 0

Find the union: y < -14ory > 0

A variable in mathematics is a sign and placeholder for any mathematical object (from the Latin variabilis, "changeable"). A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.

A variety of issues are resolved by algebraic calculations that treat variables like explicit integers in a single computation. The quadratic formula, for instance, can be used to solve any quadratic equation by exchanging the variables in the quadratic formula for the numerical values of the coefficients in the equation.

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Answer:

33 g

Step-by-step explanation:

the weight of the donut is a distractor number. if each donut has 11,000 mg of sugar, then 11,000 x 3 = 33,000 mg. In order to convert mg into g, we move the decimal over to the left 3 times.

33000. (0 times)

3300.0 (1 time)

330.00 (2 times)

33.000 (3 times)

Step-by-step explanation:

u first have to simplify a bit so u expand giving u -2x+6 less than 4 u then group like terms giving u -2x less than 4-6 amounting to -2x less than-2 u then divide both side by negative two to make x stand alone giving u positive 1 when u get Yr answer because u divided by a negative answer the sign changes to greater than

Difference between mixed farming and mixed cropping

The unusual outcomes for the binomial distribution are given as follows:

0 or 1 employee making judgements.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In the binomial distribution, a measure is considered unusual if it is more than 2.5 standard deviations from the mean.

For this problem, the parameters are given as follows:

n = 8, p = 0.61.

Hence the mean and the standard deviation are given by:

The bounds of usual outcomes are:

Hence outcomes of less than 1 employee making judgements would be unusual.

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Answer:

[tex]y = 35x - 3[/tex]

Step-by-step explanation:

Based on the given conditions

[tex]m = 35[/tex]

Substitute and calculate

Substitute:

[tex]m = 35 \\ x = 0 \\ y = - 3[/tex]

Into:

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

Therefore, the equation of the line is:

[tex]y = 35x - 3[/tex]

Answer:

A. 5/4n - 3/8

Step-by-step explanation:

-5n/2 + 1/4 + 15/4n - 5/8

15/4n - 10/4n + 2/8 - 5/8

5/4n - 3/8

Answer:

YES!

Step-by-step explanation:

ratios are like fractions, and fractions are basically division problems. SO, if you divide 4 by 6 you get .66666666, and if you divide 8 by 12 you ALSO get .66666666, soooooo yes they are equivalent!

Answer:

In short, the difference between adjusting entries and correcting entries is that adjusting entries bring financial statements into compliance with accounting frameworks, while correcting entries fix mistakes in accounting entries.

Answer:

Step-by-step explanation:

4.275

112/5 / 22/3

Answer:

66%

Step-by-step explanation:

Answer:

66 % 

Step-by-step explanation:

It is 66 % because to convert you have to follow these steps

Step 1: Identify the ratio.

Step 2: Express the ratio a:b in the form of a fraction a/b.

Step 3: Multiply the fraction by 100.

Step 4: Simplify and write the answer with the percent symbol (%).

Answer:

10720.823

Step-by-step explanation:

largest number is 10743.93 and the smallest number is 23.107. subtracting 23.107 from 10773.93 to get 10743.93

Answer:

it is 3(x+2)

Answer:

3(x+2)

Step-by-step explanation:

You first find the common factor.

3x+6

3(x+2) solution.

Answer:

where is the question bro?

Step-by-step explanation:

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Without the estimate, the number of gallons used is:

1211/29 = 41.76 gallons.

Hence the cost is:

41.76 x 3.10 = $129.46.

With the estimate, the number of gallons used is:

1200/30 = 40 gallons.

Hence the cost is:

40 x 3 = $120.

For the estimation, the mileage was rounded up while the cost was rounded down, hence the estimated cost is less than the actual cost.

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Taking into account the scientific notation, the result of the sum is 2.56197×10¹⁹.

Scientific notation is a quick way to represent a number using powers of base ten.

The numbers are written as a product:

a×10ⁿ

where:

You want to add the following two numbers in scientific notation:

When the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is 19.

Then all the values ​​are expressed as a function of the base 10 exponent with the highest exponent. In this case: 3.197×10¹⁷= 0.03197×10¹⁹

Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:

2.53×10¹⁹ + 0.03197×10¹⁹= (2.53 + 0.03197)×10¹⁹= 2.56197×10¹⁹

Finally, the result of the sum is 2.56197×10¹⁹.

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