A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo paper that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?​

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)

Step-by-step explanation:

Group aged  18 - 34

Sample size n₁  =  655  sample size enough to apply a normal distribution aproximation for the test

p₁ = 0,45      and   q₁ =  1 - p₁      q₁ = 0,55

p₁*n₁  =  0,45*655 = 294     q₁*n₁  = 0,55*655 = 360

both bigger than 5

p₁  = 45 %     or     p₁  = 0,45          then  q₁  = 1 - 0,45    q₁ = 0,55

Group aged 35 - 44

Sample size  n₂  =  420 sample size enough to apply a normal distribution aproximation for the test

p₂  =  37%   p₂ = 0,37     and    q₂  = 0,63

p₂*n₂  =  0, 37*420 =  155     q₁*n₁  = 0,63*420 = 264

Test Hypothesis

Null Hypothesis        H₀                                             p₁  =  p₂

Alternative Hypothesis Hₐ                                        p₁  >  p₂

Significance level    α  =  1%   α  = 0,01

Confidence Interval     CI = 99 %

Then   from z table  we find   critical z   z (c )  = 3,1

Calculating   z(s)

z(s)  =  (  p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]

z(s ) = (0,45 - 0,37 ) /  √ 0,45*0,55)/655  +  0,37*0,63 /420

z(s)  = 0,08  /0,03

z(s) = 2,66

Comparing  z(s)  and z(c)

z(s) < z(c)

Then z (s) is inside the acceptance region for H₀

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

One solution

Step-by-step explanation:

x - 4y = 6

-4y = 6 - x

-4y/-4 = 6/-4 -x/-4

y = -6/4 + -x/4

2x − 8y = 12

-8y = 12 - 2x

-8y/-8 = 12/-8 - 2x/-8

y = -12/8 + 2x/8

Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.

As shown below, it has only one solution.

Step-by-step explanation:

\( - |a - 7| - ( - |a - 9| ) = - a + 7 + a - 9 = - 2\)

Answer:

1. The height if the box is x.

2. The length of the box is 8 - 2x

3. The width of the box is 12 - 2x

4. The volume of the box is   4x(6 - x)(4 - x)

Step-by-step explanation:

1. Since the squares of length x are cut from the corners of the cardboard, the height of the box is the length of a square which is x.

2. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.

Since squares of x length are cut from the corners of the cardboard, the length of the box is 8 - 2x

3. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.

Since squares of x length are cut from the corners of the cardboard, the width of the box is 12 - 2x

4. The volume of the box is V(x) = length × width × height = (12 - 2x)(8 - 2x)x = 2 × 2x(6 - x)(4 - x) =  4x(6 - x)(4 - x)

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

yes get that one 0.78.10

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3+3+5

3+3

=6

6+5

=11

hope this was helpful! <3

Answer:

11

Step-by-step explanation:

3+3+5=11

Answer:

2.5

Step-by-step explanation:

I took the test :)

The equations that represent each line are, respectively:

According to Euclidean geometry, we can generate any line from two distinct points on a plane. Herein we find two tables and two Cartesian representations of the lines, of which we must construct the corresponding line equations, whose definition is shown below:

y = m · x + b

Where:

The slope can be found by secant line formula:

m = Δy / Δx

Now we proceed to determine each equation of the line:

Case 1

Slope

m = [- 34 - (- 10)] / (13 - 5)

m = - 24 / 8

m = - 3

Intercept

b = y - m · x

b = - 10 - (- 3) · 5

b = - 10 + 15

b = 5

Equation of the line

y = - 3 · x + 5

Case 2

Slope

m = [- 3 - (- 11)] / [1 - (- 7)]

m = 8 / 8

m = 1

Intercept

b = y - m · x

b = 3 - 1 · 7

b = 3 - 7

b = - 4

Equation of the line

y = x - 4

Case 3

Slope

m = [0 - (- 1)] / (0.5 - 0)

m = 2

Intercept

b = y - m · x

b = - 1 - 2 · 0

b = - 1

Equation of the line

y = 2 · x - 1

Case 4

Slope

m = [0 - (- 4)] / (5 - 0)

m = 4 / 5

Intercept

b = y - m · x

b = - 4 - (4 / 5) · 0

b = - 4

Equation of the line

y = (4 / 5) · x - 4

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Answer:

Step-by-step explanation:

lol i think 800 m imao if im not corecct

Answer: 1:400

Step-by-step explanation:

Make both equations equal:

8x+2 = 9x+8

2 = x+8

-6 = x

answer: 3

simply add 1 apple from Jeff and 2 apples from Jessica

(1+3) = ?

Thus, the answer is 3 apples all together

Answer:

i

Step-by-step explanation:

The length of the third side is given as follows:

x = 3√3.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The parameters for this problem are given as follows:

Hence the third side is given as follows:

x² + 3² = 6²

x² + 9 = 36

x² = 27

x = √3³

x = 3√3.

The triangle is given by the image presented at the end of the answer.

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Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

The rate at which the number of wolves in the forest is changing at t = 7 weeks is 20.932 wolves per week.

To find the rate at which the number of wolves in the forest is changing at t = 7 weeks, we can evaluate the function E(t) at t = 7:

E(7) = 31 cos(0.11 * 7^2) = 31 cos(4.97)

Using a calculator, we can find that cos(4.97) = 0.672. So,

E(7) = 31 X 0.672 = 20.932

This means that the rate at which the number of wolves in the forest is changing at t = 7 weeks is 20.932 wolves per week.

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Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-1 , 2) and the slope is - 2

The equation of the line is

We have the final answer as

Hope this helps you

The concept of an isosceles triangle, the angle sum of a triangle, and a vertically opposite angle is used to solve the problem. Then the measure of angle ∠2 is 50°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

We know that the sum of the angles of the triangle is 180 degrees.

And we know that in an isosceles triangle, two sides are equal angles their opposite angles too.

The measure of angle ∠2 is 50°.

The figure is given below.

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Answer: x = 6, y = 1, coordinate = (6, 1)

Step-by-step explanation:

Note that f(x) = y

so when given f(6) = 1

                           ↓    ↓

                        x=6   y=1

As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

Where two or more line segments or edges meet, a shape has a vertex (like a corner). Vertex is the singular form of the noun. A cube, for instance, has eight vertices, whereas a cone only has one. When discussing 2D and 3D shapes, the term "vertices" is preferred over the term "corners."

Given:

QRST is the number.

There is a translation rule \(T_{(3,-2)} (QRST)\)

In search of:

following translation, the vertex's coordinate.

Solution:

The result of applying the translational rule is  \(T_{(3,-2)} (QRST)\)  what we receive (x , y) → (x+3 , y-2)

The vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T, as is evident from the given picture (-2,1).

The result of applying the aforementioned rule is

Q(1,3) → Q' (1+3 ,3-2)→ Q'(4,1)

R(3,-3) → R' (3+3, -3-2) = R'(6,-5)

S(0,-2) → S'(0+3, -2,-2) = S'(3,-4)

T(-2,1) → T'(-2+3 , 1-2 ) = T'(1,-1)

As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

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The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The difference between the depths in February and July is D. 13 feet.

According to the information supplied, the symbol for the average depth of a nearby lake, which is 26 feet, is |26|. It was 5 feet deep in February, or |5|, and 18 feet deep in July, or |18|. As a result, it is important to remember that the depth in July is -18.

Consequently, the variation in depth between February and July will be

= -5 - (-18)

= -5 + 18

= 13

The depth is 13 feet as a result.

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Considering the vertical asymptote and the intercepts, the rational function is given by:

\(r(x) = \frac{4(x - 2)}{(x + 2)(x - 4)}\)

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

From the graph, there are vertical asymptotes at x = -2 and x = 4, hence the denominator is given by:

(x + 2)(x - 4).

The x-intercept of a function f(x) is the value of x when y = 0. For a rational function, they are the zeroes of the denominator.

For this problem, there is a x-intercept at x = 2, hence the numerator is given by:

a(x - 2).

Then the function is:

\(r(x) = \frac{a(x - 2)}{(x + 2)(x - 4)}\)

When x = 0, r(x) = 1, hence we use it to find a.

-2a/-8= 1

2a/8 = 1

2a = 8

a = 4.

Hence the function with the leading coefficient is:

\(r(x) = \frac{4(x - 2)}{(x + 2)(x - 4)}\)

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The options are not clear enough, so i have attached it.

Answer:

A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.

Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50

Step-by-step explanation:

We are given the equation of total amount of money Rosetta earns per wedding as;

y = 50x + 100

Where x is number of hours.

Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.

Now, the y-intercept occurs when x = 0.

Thus;

y = 50(0) + 100

y = 100

Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.

From slope intercept equation which is;

y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.

Thus, since she earns $50 per hour, the slope is 50.

The correct option is Option A.