What are the domain and range of the function f(x) = log(x-4)-3?

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

x =41.18114952

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We know the hypotenuse and adjacent sides

cos theta = adjacent / hypotenuse

cos x  = 14.3/19

taking the inverse cos of each side

cos^-1 (cos x) = cos ^-1 ( 14.3/19)

x =41.18114952

Answer:

Step-by-step explanation:

take x degree as reference angle

using cos rule

cos x=adjacent/hypotenuse

cos x=14.3/19

cos x=0.75

x=cos 41

x= 41 degree

Answer:

45 I think, I'm not sure though.

Answer:

x=45

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

Sorry if im wrong :(

The ways that can be used to determine whether a linear relationship is proportional are-

A) The equation is in y = kx form.

In mathematics, proportionality indicates that two quantities or variables are related in a linear manner. If one quantity doubles in size, so does the other and so on.

Now the since the proportionality is the relationship in the linear manner.

This is represented as

x ∝ y.

⇒ x =  ky

k is the constant of proportionality.

A direct proportionality can also be viewed as a linear equation in two variables with a y-intercept of 0 and a slope of k. This corresponds to linear growth.

Thus, the ways that can be used to determine whether a linear relationship is proportional are-

A) The equation is in y = kx form.

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Answer:

One pair of gloves cost $5.89

Step-by-step explanation:

You just have to divide 29.45 by 5 and that gives you how much one pair of gloves cost

Answer:

Step-by-step explanation:

Use the figure to complete the transformations.

1. Reflect the triangle across the y-axis.

2. Reflect the image across the x-axis.

The final image is the same as what single transformation?

a translation 2 units to the left and 2 units down

a reflection across the y-axis

a 180° rotation about the origin

a clockwise rotation 90° about the origin

Answer:

After 121 passes, there will be 11 cups facing up

Step-by-step explanation:

Given that:

Peter initially  lines up 121 cups facing down in a straight line from left to right and consecutively labels them from 1 to 121.

We can have an inequality ; i.e 1 ≤ n ≤  121; if n represents the divisor including n itself for which n  = odd number. Thus at the end of this claim, the cup will be facing up.

On the ith pass, he flips over cups i, 2i, 3i, 4i,.... (By "flip," we mean changing the cup from face down to face up or vice versa.)

For each divisor on the ith pass of n;

\(i \ th \ pass \ = \ n \ \to \ p |n\)  since we are dealing with possibility of having an odds number:

Thus; \(p =i\) and \(i^2 = n\)  where ; n = perfect square.

Thus ; we will realize that between 1 to 121 ; there exist 11 perfect squares. Therefore; as a result of that ; 11 cups will definitely be facing up after 121 passes

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Answer:

\(250\pi\) cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is \(\pi(10^2)(25)=250\pi\) cm³.

Answer:

Step-by-step explanation:

\(a_{n}=-2*5^{n-1}\\n=11\\a_{11}=-2*5^{11-1}\\a^{11}=-2*5^{10}\\=-2*50,000,000,000\\=-100,000,000,000\)

Answer:

20 degrees

Step-by-step explanation:

when you add 50+60+50 you get 160 and a triagnle has to have 180 degrees and when you have 50+60+50+20 you get a total of 180 degrees

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Step 1: Move the 9x over

3y = 12 - 9x

Step 2: Divide everything by 3

y = 4 - 3x

Step 3: Rearrange

y = -3x + 4

Step 4: Change y to f(x)

f(x) = -3x + 4

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer: z=1−x+w/r

Step-by-step explanation:

Subtract x from both sides.

z-w/r=1-x

Add w/r to both sides.

z=1−x+w/r

hope i helped

-lvr

Answer: (6,0)

Coordinate points are always written in pairs of the x- and y-coordinate: (x, y). Knowing this, the point would need to have a y-value of 0 in order to lie on the x-axis (otherwise, it would be on a random spot on the grid). The only coordinate point with a y-value of 0 is (6, 0). Therefore, the coordinate point (6, 0) lies on the x-axis.

Please refer to the attached graph below to see all the coordinate points.

A triangle is a geometrical shape that is formed by three straight lines connecting three non-collinear points. The three points are called the vertices of the triangle, and the lines connecting them are called sides or edges.

To prove that triangle QRS is similar to triangle TUV, we need to show that their corresponding angles are equal and their corresponding sides are proportional.

Let's start by identifying the corresponding angles:

Now, let's look at the corresponding sides:

To prove that the triangles are similar, we need to show that the ratios of the corresponding sides are equal:

QS/TV = RS/UV (given)

QS/TV = 3/3 (since QR=3TU)

QS/TV = 1

RS/UV = 3/3 (since QR=3TU)

RS/UV = 1

Since the ratios of the corresponding sides are equal, the triangles are similar. Therefore, we can conclude that triangle QRS ~ triangle TUV.

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Answer:

Below

Step-by-step explanation:

First method:

● f(x)= (x^3-2x+1)×(x-3)

● f'(x)= (x^3-2x+1)' ×(x-3) + (x^3-2x+1)×(x-3)'

●f'(x)= (3x^2-2)×(x-3) + (x^3-2x+1) × 1

●f'(x) = 3x^3-9x^2-2x+6 + x^3-2x+1

● f'(x)= 4x^3-9x^2-4x+7

■■■■■■■■■■■■■■■■■■■■■■■■■■

Second method:

●f(x) = (x^3-2x+1)×(x-3)

●f(x) = x^4-3x^3 -2x^2+6x+x-3

●f(x) = x^4-3x^3-2x^2+7x-3

●f'(x) = 4x^3-9x^2-4x+7

We got the same result using both methods.

Answer:

D: New York City is the correct answer

Answer:

C

Step-by-step explanation:

CityBank

4.75/100 × 500 = 23.75

23.75 × 12 = 285

First National

3.9/100 × 500 = 19.50

19.50 × 12 = 234

285-234=51

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

$45.34

hope this helps

Answer:

$20.79

Step-by-step explanation:

0.82(6) = 4.92

15.87 + 4.92 = 20.79

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

Undefined

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1), where (x1, y1) and (y1, y2) are points on the line

Plug in the given points:

(y2 - y1) / (x2 - x1)

(-8 - 7) / (3 - 3)

-15/0

= undefined

The slope is undefined, because you cannot divide by 0.

The total income lisa earned from her part-time job would be $1,490

In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.

We have been given that Lisa is a third-year college student living alone in an apartment and works 20 hours a week at a local bank by which  makes $10 per hour.

She has a savings account that she built up during high school and by working full-time summer jobs.

Lisa Gross monthly income from her part-time job= 20 x $10 = $200;

$200 x 4 = $800

Net monthly income from her part-time job = $800 x 0.80 = $640

Net monthly income from her part-time job = $640

Income from her savings = $30

Given Support from her parents is $00

The Total Income = $1,490

Therefore, The total income lisa earned from her part-time job would be $1,490

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Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

Answer: I believe it’s 24

Step-by-step explanation: if not sorry

Answer:

Note that 6 is 4 plus 2,  

              10 is 6 plus 4, or 6 plus 2^2

               16 is 10 plus 6

Given the first term, 4, we find the second term by adding 2 to 4, obtaining 6.

Given the 2nd term, 6, we find the third term     by adding 4 to 6, obtaining 10.

Given the 3rd term, 10, we find the fourth term  by adding 6 to 10:  16

What's the next term?  Find the fifth term           by adding 8 to 16:  24 (answer)

Step-by-step explanation:

24 would be the answer hope this helps ya :)