12. A job pays $25.00 per day plus $5.00 for each additional hour worked. Let x represent the number of hours
worked and y represent the total amount paid.
a. Write an equation in slope-intercept form to represent the amount paid for one day. (3 points)
b. What is the amount paid for one day if you work an 8 hour shift? (2 points)
c. How many hours do you need to work to make $100 in a day? (2 points)

Given: students at a local college were asked about their post graduation plans.

find:(a) probability a students plans to move out of state and take a job in private industry.

(b)probability of student plans to leave the state or work in private industry but not both

(c) how many students do not plan to work in private industry leave the state.

Explanation:(a) the probability of a student plans to move out of the state and take a job in private industry is

(b) the probability of the students plans to leave the state or work in private industry but not both is

(c) the number of students do not plan to work in private industry leave the state is 1800.

The construction to determine the incenter of a triangle involves drawing the perpendicular bisectors of any two sides of the triangle, finding their intersection point, drawing the bisectors of any two angles of the triangle, finding their intersection point, and drawing perpendiculars from the incenter to each side of the triangle.

The incenter of a triangle is the point where the angle bisectors of each angle of the triangle intersect. It is the center of the circle that is tangent to each side of the triangle. The construction to determine the incenter of a triangle involves several steps.

First, draw any triangle ABC. Then, take any two sides of the triangle, say AB and AC, and draw their perpendicular bisectors. The perpendicular bisector of a line segment is a line that intersects the segment at its midpoint and is perpendicular to it.

Let the perpendicular bisectors of AB and AC intersect at point O. Point O is the circumcenter of triangle ABC, which is the center of the circle that passes through the three vertices of the triangle.

Next, take any two angles of the triangle, say ∠BAC and ∠ABC, and draw their bisectors. The bisector of an angle is a line that divides the angle into two equal parts.

Let the bisectors of ∠BAC and ∠ABC intersect at point I. Point I is the incenter of triangle ABC, which is the center of the circle that is tangent to each side of the triangle.

Finally, draw a line segment from point I to each side of the triangle. Each of these line segments will be perpendicular to its corresponding side of the triangle. The point where all three perpendicular lines intersect is the incenter of the triangle.

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We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.

Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.

We will investigate the type of translations that are possible as follows:

Where,

AND,

We will investigate how to use the above rule to determine the image of the square JKLM.

We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:

The general rule that will be applied to the vertices of the square JKLM:

The four coordinate of the square are:

Applying the general rule to determine the image of all vertices:

The image of the square JKLM is as follows:

We can plot these images on the grid as follows:

Answer:

Part 1:

From 1:20 to 1:55 is a total of 35 minutes. Since the minute hand completes one full rotation in 60 minutes, it moves halfway around the clock during this time. Therefore, the minute hand moves pi (or 180 degrees) radians.

Answer: pi (or 180 degrees)Part 2:

Since the minute hand has a length of 6 inches, we can use the formula for the circumference of a circle to find how far the tip of the minute hand travels during this time.

C = 2pir

C = 2pi6

C = 12pi

So the tip of the minute hand travels a total distance of 12pi inches during the 35 minutes from 1:20 to 1:55.

Answer: 12*pi inches

Answer:

D.

Step-by-step explanation:

x + 6 ≤ 8

subtract 6 on both sides.

x ≤ 2

Option D is the correct answer.

300m of the fruit farm land will produce 300 kilograms of oranges. Given that 1 acre of land produces 2 tons of oranges, we can calculate the equivalent amount of oranges produced on 300m of land.

We know that 1 acre of land produces 2 tons of oranges. To find the equivalent amount of oranges produced on 300m of land, we need to convert the units of measurement.

First, we convert 1 acre to square meters. 1 acre is equal to 4046.86 square meters.

Next, we need to determine the proportion of land used. We have 300m of land, which is equivalent to 300 square meters.

Now we can calculate the amount of oranges produced on 300m of land. Since 1 acre produces 2 tons of oranges, we can set up a proportion:

1 acre / 2 tons = 300 square meters / x kilograms

Cross-multiplying the proportion, we get:

1 acre * x kilograms = 2 tons * 300 square meters

Simplifying the equation, we find:

x = (2 tons * 300 square meters) / 1 acre

x = (2 * 300) kilograms

x = 600 kilograms

Therefore, 300m of the fruit farm land will produce 600 kilograms of oranges.

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Answer:

Each hat would cost $7!

Step-by-step explanation:

It would be 42 divided by 6, and since 6 x 7 is 42, then 7 is the answer.

Hope this helped!

42 divided by six is 7 so your answer will be seven.

The growth of the lily pad is in geometric progression, and it covers half the pond in 29 days.

In the question, we are given that the size of the lily pad doubles itself every day.

If we assume the size of the lily pad on the first day as a, then on the second day its size will be 2a, on the third day it will be 2(2a) = 4a, and on the fourth day, it will be 2(4a) = 8a, and so on.

This makes a geometric progression, with the first term as a, and the constant ratio as 2.

We are given that on the 30th day, the size of the lily pad, covers the entire pond.

The size on the 30th day can be shown as the 30th term of this geometric progression

Therefore, size of the  pond = a(2)³⁰⁻¹ = a.2²⁹. {Using the formula, aₙ = arⁿ⁻¹, where aₙ is the n-th term, a is the first term, and r is the constant ratio}.

We are asked the day on which the pond is half covered.

The size of the pond in this case = (a.2²⁹)/2 = a.2²⁸.

The day can be calculated as follows:

a.2ⁿ⁻¹ = a.2²⁸,

or, 2ⁿ/2 = 2²⁸,

or, 2ⁿ = 2²⁹,

or, n = 29.

Thus, the lily pad covers half the pond on the 29th day.

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The volume of the hexagonal prism is 2630.5 \(cm^{3}\)

Hexagonal Prism is a three-dimensional prism with a hexagonal base and top. The hexagonal prism contains 2 hexagons (one is the base and the other on the top) and 6 rectangles connecting the hexagonal faces.

How to determine this

Volume of Hexagonal prism = (3√3/2) * \(s^{2} h\)

Where s is the sides of the hexagonal base

h is the height of the hexagonal base

Volume of hexagonal base = 3√3/2 * (\((7.5^{2} )\) * 18

Volume  = 3√3/2 * 56.25 * 18

Volume = 3√3/2 *1012.5

Volume = 2.598 * 1012.5

Volume = 2630.475

Volume = 2630.5 \(cm^{2}\)

Therefore, the volume of hexagonal prism is 2630.5 \(cm^{2}\)

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the pool contains 6,000 liters of water

Answer:

6000

Step-by-step explanation:

There's 0.001 kiloliters in a liter

1kl=1000 liters

Answer:

5 and 6.

Step-by-step explanation:

5^2 = 25 and 6^2= 36

As we know, 32 is between 25 and 36, therefore √32 is between √25 and √36.

The z-score for 11 minutes of advertising time is approximately -0.667

Here we have given that a radio station claims that the amount of advertising each hour has a mean of 12 minutes and a standard deviation of 1.5 minutes. you listen to the radio station for 1 hour and observe that the amount of advertising time is 5 minutes.

And we need to calculate the z-score for this amount of advertising time.

While we looking into the given question, we have identified that Z-scores measure the distance of any data point from the mean in units of standard deviations and are useful because they allow us to compare the relative positions of data values in different samples.

Here the z-score for any single data value can be found by the formula:

z = (data value- mean) / standard deviation

Here from the information given we know:

Data value = 11 minutes

Mean = 12 minutes

Standard deviation = 1.5 minutes

When we apply the values on the formula then we get,

=> z = (11 - 12) / 1.5 = -0.667

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Answer:

∠8 = 125°

Step-by-step explanation:

Angle 8 is equal to the first angle of the diagram

Hope this helps.

Answer: 8575/2

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

multiply the number of beads needed by the number of necklaces she is making.

Answer:

B

Step-by-step explanation:

For every 7 sapphires, there are 6 rubies.

You can write as a ratio. 7 : 6

You can multiply both sides by the same number

S = Sapphires

R = Rubies

s : r

7 : 6

14 : 12

21 : 18

28 : 24

This table can be expressed on a number line, just like choice B.

The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

The required probability of P(Girls/Sophomore) is 0.9.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Data are shown in the table, P(Girls/Sophomore) is to be determined.
In order to determine the probability of the girls over Sophommer,
From,
P(A|B) = P(A ∩ B) / P(B)
P(Girl  | Sophomore ) = P(Girl ∩ Sophomore ) / P(Sophomore)
Substitute the value in the above equation,

P(Girls/Sophomore) = 9 / 10

Thus, the required probability of P(Girls/Sophomore) is 0.9.

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Here is ur answer

- BRAINLIEST answerer

5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)5x -3 (3x - 3 + 2x) >2( 3x - 20 + 4x)know i need points

Step-by-step explanation:

hi

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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(a) Annually compounded interest:

In this case, n = 1 (compounded once a year)

Future Value (a) = $500 × (1 + 0.12 / 1)^(1 * 20)

(b) Quarterly compounded interest:

In this case, n = 4 (compounded four times a year)

Future Value (b) = $500 × (1 + 0.12 / 4)^(4 * 20)

(c) Monthly compounded interest:

In this case, n = 12 (compounded twelve times a year)

Future Value (c) = $500 × (1 + 0.12 / 12)^(12 * 20)

Let's calculate the values:

(a) Future Value (annually) = $500 × (1 + 0.12)^20

Future Value (annually) ≈ $500 × 6.1917364224

Future Value (annually) ≈ $3,095.87

(b) Future Value (quarterly) = $500 × (1 + 0.12 / 4)^(4 * 20)

Future Value (quarterly) ≈ $500 × 1.03^80

Future Value (quarterly) ≈ $500 × 10.0626534032

Future Value (quarterly) ≈ $5,031.33

(c) Future Value (monthly) = $500 × (1 + 0.12 / 12)^(12 * 20)

Future Value (monthly) ≈ $500 × 1.01^240

Future Value (monthly) ≈ $500 × 20.1814079986

Future Value (monthly) ≈ $10,090.70

Therefore, if Iona earns 12% interest compounded annually, her investment of $500 will grow to approximately $3,095.87 in 20 years. If compounded quarterly, it will grow to approximately $5,031.33, and if compounded monthly, it will grow to approximately $10,090.70.

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The equation of the line with a slope of 1 passing through the point (0, 2) is y = x + 2.

To verify this, we can substitute the coordinates of the given point (0, 2) into the equation y = x + 2:

2 = 0 + 2

This equation holds true, confirming that the line y = x + 2 passes through the point (0, 2) and has a slope of 1.

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Answer:

m<NOQ = 139°

Step-by-step explanation:

Since lines KM and NP are parallel, alternate exterior angles KLJ and QOP are congruent.

m<QOP = m<KLJ = 41°

Angles NOQ and QOP are a linear pair and are supplementary, so the sum of their measures is 180°.

m<NOQ + m<QOP = 180°

m<NOQ + 41° = 180°

m<NOQ = 139°

Answer:

88

Step-by-step explanation:

The formula for a parallelogram to find the area is:

B x h

So, the numbers we are given is the:

base: 11

height: 8

slant height: 9

We do not need the slant height for finding the area, so we can just substitute the base and height values into the equation:

8 x 11

=88

So, the area of this parallelogram is 88 square units

Hope this helps :)

The lines are taken from the short story 'The Yellow Wallpaper'. The woman stops mentioning the wallpaper to others because she feels suspicious about it.

The short story summarizes a woman who is suffering from nervous depression and what happens when she comes in contact with wallpaper in her new house which she thinks is alive. Throughout the entire story, the narrator expresses how the woman feels, how she thinks the wallpaper is alive and that it can cause harm to her.

At first glance, she feels that it is ugly, and to get better she describes the entire house. She feels very disturbed when she sees the wallpaper in her bedroom and it makes her feel strange. She becomes so obsessed with the wallpaper to such an extent that she feels like it is the shape of a woman who is alive.

She becomes possessive and feels that the woman in the wallpaper is moving through the entire house so she starts biting and tearing the wallpaper to free the women trapped inside. The entire story mentions the mental health of the women.

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Answer:

Keep the ladder at a 66 degree angle of elevation at most.

Step-by-step explanation:

Hypotenuse is 20 feet

Adjacent side is 8 feet

We use inverse cosine to find the angle

arccos(8/20) = 66.4 deg

Answer:

0.0946km²

Step-by-step explanation

Area of the farmland owned = 0.037km²

Area of farm land bought = 9600m²

Convert m² to km²

1m² = 1e-6 km²

9600m² = 0.000001 * 9600

9600m² = 0.0576km²

Total area on km² = 0.037km²+0.0576km²

Total area on km²  = 0.0946km²

Given that tan θ = 1.781, we need to find the value of sin θ. We know that $\tanθ=\frac{\sinθ}{\cosθ}$So, $\sinθ=\tanθ×\cosθ$We also

know that $\cos²θ+ \sin²θ

=1$So, $\cos²θ

=1-\sin²θ$So, $\cosθ

= ±\sqrt{1-\sin²θ}$If θ is an acute angle, then cos θ is positive. So, $\cosθ

=\sqrt{1-\sin²θ}$

Now, $\tanθ

=\frac{\sinθ}{\sqrt{1-\sin²θ}}$

Squaring both sides, we get,$\tan²θ

=\frac{\sin²θ}{1-\sin²θ}$On cross-multiplication,$\sin²θ\tan²θ

=1-\sin²θ$So, $\sin²θ(\tan²θ+1)

\=1$Now, $\tanθ=1.781$So, $\tan²θ

=3.172961$Putting this value in the above equation, we get,

$\sin²θ(3.172961+1)

=1$So, $\sin²θ

=\frac{1}{4.172961}

=0.2391$

Hence, $\sinθ

=\sqrt{0.2391}

=0.489$.Therefore, the value of sin θ is 0.489.

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Answer:

10

Step-by-step explanation:

I just took the test! I got an 80 because I got this wrong but I checked it's 10! <3

Answer: The answer is C.10

Step-by-step explanation: I got it wrong and an 80, I looked to see the correct answer was 10 :3

Answer:

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Step-by-step explanation:

hey there!

sine = opposite divided by hypotenuse

the opposite of angle 0 is 24 and the hypotenuse is 25 so sin 0 = 24/25

cosine = adjacent divided by hypotenuse

the adjacent of 0 is 7 and the hypotenuse is 25 so cos 0 = 7/25

Tangent.= opposite divided by adjacent

the opposite of 0 is 24 and the hypotenuse is 7 so tan 0 = 24/7