Pls help it would be greate if you could answer all thx with show all work
(2x−6)+4(x−3) find the sum

You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking account. Write an expression in simplest form that represents the total in both accounts.

(−2g+7)−(g+11) find the difference

A rectangular room is 10 feet longer than it is wide. One-foot-by-one-foot tiles cover the entire floor. Let w represent the width (in feet) of the room. Write an expression in simplest form that represents the number of tiles along the outside of the room.

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

\(y=-\frac{3}{2}x+2\)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-2 is two less than 0. if you add 2 to this, you get 0. if you take away 0 from 0, it is still 0. if you take away two from 0, you get -2. so the answer is -2

Answer:

False

Step-by-step explanation:

Given

\(14 : 15 = 6 : 19\)

Required

True or false

\(14 : 15 = 6 : 19\)

Convert ratio to fraction

\(\frac{14}{15} = \frac{6}{19}\)

Cross Multiply:

\(14 * 19 = 15 * 6\)

\(266 \neq 90\)

Notice that both sides of the equation are not equal.

Hence, the ratio is false

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:Yes

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

\( |DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813\)

We have the final answer as

\(6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units\)

Hope this helps you

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

a.x (x + 1)

b. 3x (1 - 3x)

c. 7x (x² - 5)

d. 4x² (x + 6).

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

-1xy

Step-by-step explanation:

The standard deviation of the residuals is (actual values of y - predicted values of y) is 0

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

If the correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

If the correlation is 0, then there is no linear relationship between two variables.

If the correlation is 1, then that means  as the one quantity increases, the other quantity increases(linearly) and vice versa for decrement.

Thus, if the correlation coefficient of two variables is 1 or -1, then that means they are linearly related.

For this case, we're given that:

That shows that:

\(y = mx + c\) (a linear relation between x and y).

Now, since there was a line fit, that fit would exactly match with the real line y = mx +c

Thus, the actual values and predicted values both will overlap, due to which, there would be no difference between them.

That means:

Residuals = actual values of y - predicted values of y = 0

All values of residuals = 0, thus, mean of residuals is 0 too.

Since all the values of the residuals is 0 = their mean, there is no deviation of residuals from their mean.

Thus, the standard deviation of the residuals in this case is 0.

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Answer:

7/9

Step-by-step explanation:

Answer:

7,5*1000/2=37,5

Step-by-step explanation:

Answer:

Any 3d shape that be made up of 10 unit cubes. For example a cuboid which is 2cm wide by 5cm long by 1cm high (5x2x1 =10cm cubed)

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

We have,

To show that y = 4^x and y = log_4x are inverses of each other, we need to show that:

The domain of 4^x is (−∞, ∞), and the range is (0, ∞).

The domain of log_4x is (0, ∞), and the range is (−∞, ∞).

For any x in the domain of 4^x, we have log_4(4^x) = x.

For any x in the domain of log_4x, we have 4^(log_4x) = x.

These conditions are indeed satisfied,

So y = 4^x and y = log_4x are inverses of each other.

The graph of f(x) = e^x can be transformed into the graph of f(x) = -e^x - 2 using the following transformations:

- Reflection about the x-axis:

f(x) → -f(x)

This will reflect the graph of f(x) = e^x about the x-axis so that it is now below the x-axis.

- Vertical shift downward by 2 units:

f(x) → f(x) - 2

This will shift the graph downward by 2 units, so that it is now centered at (-∞, -2).

Therefore,

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

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Answer:

2z-4

Step-by-step explanation:

By using distributive property, 2/3 * 3z =  2z and 2/3 * -6 = -4

This means the answer is 2z-4

\(Answer: \large\boxed{2z-4}\)

Step-by-step explanation:

To solve:

\(\frac{2}{3} (3z-6)\)

We must use the distributive property and distribute 2/3 to the 3z and -6

...

\(\frac{2}{3} (3z-6)\)

\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)

\(=\frac{6z}{3} + -\frac{12}{3}\)

\(=2z-4\)

9514 1404 393

Answer:

  20

Step-by-step explanation:

The segment sum theorem tells you ...

  GH +HI = GI

  8 +12 = GI = 20

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Remember that

If x and y are complementary angles

x+y=90 degrees

then

sin x =cos y

In this problem

y=46 degrees

x =44 degrees

so

46+44=90 degrees

44 and 46 are complementary angles

that means

sin44=cos 46=2/3

therefore

Answer:

\( - \infty < x < \infty \)

Step-by-step explanation:

Total number of STD cases = 1,945,546

Number of chlamydia cases = 1,526,658

Number of Syphilis cases = 23,672

Number of gonorrhea cases = 395,216

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

  (b)  y -5 = 3/4(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Your graph has two points marked: (-2, -1) and (6, 5). Even if you don't know the slope, these tell you the form of the equation will be ...

  y +1 = m(x +2) . . . . no match

  y -5 = m(x -6) . . . . matches choice B

__

If you like, you can figure out the slope to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-1))/(6 -(-2)) = 6/8 = 3/4

All the answer choices agree that this is the slope of the line.

Answer:

13 & 11

Step-by-step explanation:

Let x & y:   x > y   be the two numbers

sum = 24         x + y = 24

Difference       x - y = 2

Step-by-step explanation:

Using the various theorems relating inscribed and external angles to intercepted arcs, we can write the following relations:

  angle A = 1/2(arc BP) . . . . . . . . . . . inscribed angle

  angle A = 1/2(arc CD -arc CP) . . . external angle at tangent/secant

  angle CPD = 1/2(arc CD) . . . . . . . inscribed angle

  angle CPB = 1/2(arc CP) + 1/2(arc BP) . . . . . sum of angles at the mutual tangent

Equating the expressions for angle A, we have ...

  1/2(arc BP) = 1/2(arc CD -arc CP)

Adding arc CP gives ...

  1/2(arc BP +arc CP) = 1/2(arc CD)

Substituting the last two equations for angles from above, this gives ...

  angle CPB = angle CPD

Hence PC bisects angle BPD.

Answer:

\(a=63\)

Step-by-step explanation:

\(14=\frac{2a}{9}\)

Switch sides:

\(\frac{2a}{9}=14\)

Multiply both sides by 9:

\(\frac{9\cdot \:2a}{9}=14\cdot \:9\)

\(2a=126\)

Divide both sides by 2:

\(\frac{2a}{2}=\frac{126}{2}\)

\(a=63\)

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.