Which graph represents the equation y = -1/2x - 3?
A)
B)
C)
D)

Answer:

Shannon bought 3 more pounds of apples.

Step-by-step explanation:

5 - 2 is 3.

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

C is 12

Step-by-step explanation:

You just add s "2" to 10.

Then you look and notice C is right next to the equal sign.

Finally, you have your answer of 12.

Answer:

see below

Step-by-step explanation:

5.  sin 31 = opp/ hyp

  sin 31 = 34 /x

x = 34 / sin 31

x =66.0145369

tan 31 = opp /adj

tan 31    = 34/y

y = 34/ tan 31

y= 56.5855024

6.  Pythagorean theorem to find z

9^2+12^2 = z^2

81+144 = z^2

225 = z^2

z =sqrt(225) =15

sin x = opp / hyp

sin x = 9/15

take the inverse sin

x = sin^ -1 (9/15) = 36.86989765

sin y = opp / hyp

sin y = 12/15

take the inverse sin

y = sin^ -1 (12/15) = 53.13010235

Answer:

1. sin(31) = opposite/hypotenuse

sin(31) = 34/x

x = 34/sin(31) = 66.0145369

x = 66.0°

tan(31) = opposite/adjacent

tan(31) = 34/y

y = 34/tan(31) = 56.5855024

y = 56.6°

2. tan(x) = opposite/adjacent

tan(x) = 9/12

x = 36.86989765

x = 36.9°

y = 180 - 90 - x

y = 53.13010235

y = 53.1°

z² = 9² + 12²

z² = 225

z = 15

Answer:

3/14

Step-by-step explanation:

gradient = (0-(-3))/(8-(-6)) = 3/14

Answer:

x ≓ -1.425806820

Step-by-step explanation:

Answer:

Vertical Asymptotes:  x=-4

Horizontal Asymptotes:  y=1

Final answer:

A regular hexagon will coincide with itself when rotated by angles of 60 degrees, or multiples of it like 120, 180, 240, 300, and 360 degrees, because these are the angles of rotational symmetry for a hexagon.

Explanation:

A regular hexagon has six sides of equal length and interior angles that are also equal. When a regular hexagon is rotated about its center, there are specific degree measures for which it will fit exactly onto itself, known as the angles of rotational symmetry. Since a full rotation measures 360 degrees and a hexagon has six sides, we can divide 360 degrees by the number of sides to find the smallest angle of rotation that will carry the regular hexagon onto itself.

The calculation is 360 ÷ 6 = 60 degrees. Therefore, a regular hexagon will coincide with itself every 60-degree turn. Other angles that will carry the hexagon onto itself are multiples of 60 degrees: 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees (a full rotation).

For example , If we want to calculate the average income of American data scientist , all American data scientists will be determine the population in this case,

Here, Walter surveys all students in his math class and finds that 4 prefer tomatoes, 14 prefer carrots, and 9 prefer cucumbers.

Population = All students in his School

Sample = Students in his class.

No, the sample is not a representative sample, it is the convenience sample.

It can be possible that his class has influence of him or students of other classes may like exactly different ingredients for salad like sprouts, fruit etc.

Answer:

The answer is option 3.

Step-by-step explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

[tex]area = base \times height[/tex]

Let base = 9,

Let height = 3,

[tex]area = 9 \times 3 \\ area = 27 \: {m}^{2} [/tex]

Triangle,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 3,

Let height = 3,

[tex]area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2} [/tex]

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

[tex]area = 27 - 4.5 \\ area = 22.5 \: {m}^{2} [/tex]

Answer:

its 22.5 because i did a sguare then divivded it by 2 then i added the rectangle

Option B. is correct. Using box plot, the statement that apply to movie A is the ages are more consistent.

A box plot is "a special type of diagrams that shows quartiles in a box and the lines extending from the lowest to the highest value".

According to the question,

The box plot shows ages of randomly sampled attendees at two different movies.

Hence, the ages are more consistent in box plot shows age of randomly sampled attendees at two different movies.

Learn more about box plot here

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Answer:

[tex]\theta = 12.16^0.[/tex]

Step-by-step explanation:

Given,

Height = 12.6 m

Object distance from the person = 58.5 m

Angle of depression

[tex]tan \theta = \dfrac{P}{B}[/tex]

[tex]tan \theta = \dfrac{12.6}{58.5}[/tex]

[tex]tan \theta = 0.2154[/tex]

[tex]\theta = 12.16^0[/tex]

Hence, angle of depression is equal to [tex]\theta = 12.16^0.[/tex]

The angle of depression of the person's line of sight to the object on the ground is 12.15°.

The information forms a right angle triangle. The person eyes above the ground is the opposite side of the triangle. The object distance from the building in line of the sight is the adjacent side of the right angle triangle.

Therefore,

using trigonometric ratio,

tan Ф = opposite /adjacent

tan Ф = 12.6 / 58.5

tan Ф = 0.21538461538

Ф = tan⁻¹ 0.21538461538

Ф = 12.1549416972

Ф = 12.15°

angle of depression  ≈ 12.15°

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Step-by-step explanation:

53 ÷ (-12 x - 4)

53 ÷ 48

= 1.10416

Answer:

B y = 3x^2 + 12x + 19

Step-by-step explanation:

y = 3(x + 2)^2 + 7

To expand the square of the binomial,

either recall that (a + b)^2 = a^2 + 2ab + b^2, or use FOIL.

y = 3(x^2 + 4x + 4) + 7

y = 3x^2 + 12x + 12 + 7

y = 3x^2 + 12x + 19

Answer: B y = 3x^2 + 12x + 19

Final answer:

After expanding and simplifying the given function, we find that the equivalent function is y = 3x^2 + 12x + 19, which corresponds to option B.

Explanation:

The task is to find the equivalent function to y = 3(x + 2)2 + 7. We'll start by expanding the square and then distributing the 3 across the resultant terms.

First, expand the square: (x + 2)2 = x2 + 4x + 4.

Next, distribute the 3: 3(x2 + 4x + 4) = 3x2 + 12x + 12.

Finally, add the 7 to complete the expansion: 3x2 + 12x + 12 + 7 = 3x2 + 12x + 19.

Therefore, the equivalent function is B y = 3x2 + 12x + 19.

Answer:

X-intercepts: (80,0)

y-intercepts: (0,200)

Step-by-step explanation:

(To find the x-intercept, substitut in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. As shown in the pictur)

The x-intercept and y-intercept of the equation will be (8, 0) and (0, 20).

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The school band is selling sweatshirts and baseball caps to raise $2000 to attend a band competition.

Sweatshirts cost $25 each and baseball caps cost $10 each.

The equation 25x + 10y = 2000 models this situation.

Where x is the number of sweatshirts sold and y is the number of baseball caps sold.

Then the x-intercept will be

25x = 200

x = 8

The x-intercept will be (8, 0).

And the y-intercept will be

10y = 200

y = 20

The y-intercept will be (0, 20).

The x-intercept and y-intercept of the equation will be (8, 0) and (0, 20).

More about the linear equation link is given below.

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So they seem to intersect around the 35 year mark, and tree B was planted at year 0, so therefore they intersected 35 years after Tree B was planted.

The x coordinate is years since B is planted.  Looks like the x coordinate of the intersection is about 35 years.

Answer: 35 years

The answer is B.) V = 6w2 + 12w

Answer:

V = 6w² + 12w

Step-by-step explanation:

Final answer:

To calculate the number of 5-letter "words" with vowels on the ends from 'FORMULATED', you multiply the number of ways to choose the two vowels (4 x 3) by the number of ways to choose the three different consonants (6P3; 6 x 5 x 4), resulting in 1440 different possible "words."

Explanation:

To determine the number of 5-letter "words" that can be formed from the letters of the word FORMULATED with vowels at both ends, we need to consider two parts: the selection of vowels and the selection of consonants. The word FORMULATED contains four vowels (O, U, A, E) and six consonants (F, R, M, L, T, D).

First, we choose the vowels for the ends. There are 4 vowels, which means we can select the first vowel in 4 ways. After selecting the first vowel, we can still choose the second vowel from the remaining 3 vowels (since we are allowing repetitions). This gives us 4 x 3 possibilities for the vowels.

Now we select the consonants for the center three positions. We have 6 different consonants to choose from, and since each position must be filled with a unique letter, we can select these in 6P3 (6 permute 3) ways, which is calculated as 6 x 5 x 4.

Finally, to find the total number of 5-letter "words," we multiply the number of ways to choose the vowels by the number of ways to choose the consonants, giving us 4 x 3 x 6 x 5 x 4 which equals 1440 possible "words."

Answer:

A) Sample Space

(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)

(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)

(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

B)Probability of rolling a 6

10/36

Step-by-step explanation:

Answer:

A.         1         2        3         4       5         6

    1    (1,1)    (1,2)    (1,3)    (1,4)    (1,5)    (1,6)      

    2   (2,1)   (2,2)    (2,3)  (2,4)  (2,5)    (2,6)

    3   (3,1)   (3,2)    (3,3)   (3,4)  (3,5)    (3,6)

    4   (4,1)   (4,2)    (4,3)   (4,4)   (4,5)   (4,6)

    5   (5,1)   (5,2)    (5,3)  (5,4)    (5,5)   (5,6)

    6   (6,1)   (6,2)    (6,3)  (6,4)    (6,5)   (6,6)

B.  11/36 or 0.3055555

Step-by-step explanation:

1. You can see there are 36 outcomes when rolling the dice.

2. Then you find that there are 11 possible outcomes with at least one 6. (For example 1-6 2-6 3-6.)

3. The chance of rolling at least one 6 in a pair of dice is 11/36.

4. 11 divided by 36 is 0.3055555.

(Though the calculator on Google says 0.305555556.)

Answer:

1/2 K-3/5

Step-by-step explanation:

2/5K simplifies to 4/10K.  4/10K+1/10K=5/10K.  5/10=1/2.  1/2K

K and 3/5 are not like terms so you can't combine them.  

1/2K-3/5

Answer:

Step-by-step explanation:

add [tex]\frac{2}{5}k[/tex] with [tex]\frac{1}{10}k[/tex]

[tex]\frac{2}{5}k + \frac{1}{10}k = \frac{1}{2}k[/tex]

[tex]\frac{1}{2}k -\frac{3}{5}[/tex]  and this is your answer

Answer:

A

Step-by-step explanation:

The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.

Answer:

Step-by-step explanation:

To find the perimeter, you would have to add all the expressions together, so you would get 2x+x+x+y+y+1+y+y

combine like terms and you will get 4x+4y+1

Answer:

393 1/8 miles

Step-by-step explanation:

Distance driven in 1 gallon of gas  = 23  1/8 miles

23  1/8 miles is mixed fraction.

converting 23  1/8 into improper fraction

23  1/8 = (23*8 + 1)/8 = 185/8

Thus 1 gallon of gas can drive 185/8  miles. ____________1

Since distance for 17 gallons is needed.

we multiply both gallon of gas and distance with 17.

1 *17 gallon of gas can drive 185/8*17  miles

17 gallon of gas can drive (185/8)*17  miles

=>17 gallon of gas can drive (3,145)/8 miles

converting (3,145)/8  miles into mixed fraction we have 393 1/8 .

Thus,  Logan's family can drive 393 1/8 miles on 17 gallons.

Answer:

C.; Yes

Step-by-step explanation:

A)

The longest thing that can fit along the base of the box is sqrt ( 13^2 + 35^2) = 37.3, which is less than 38, so NO, the baton can't lay flat on a diagonal along the base of the box C. No, because the diagonal is 37.3 inches long.

B) The interior diagonal of the box is sqrt(13^2 + 13^2 + 35^2) = sqrt (1563), which is 39.5, which is greater than 38, so YES, the baton can fit along the interior diagonal of the box.

Answer:

B) 42 signifies the hourly rate, and 32 signifies the overhead charge

Step-by-step explanation:

The hourly rate is the amount of money given per hour worked. 42x basically means that for every hour, $42 are given.

As for 32, it is the overhead charge, which isn't paid every hour but rather only once. That is why it has no variable beside it.

Hope this helps!

Answer:

[tex]V= \frac{15}{4}[/tex]

Step-by-step explanation:

To find find the volume of a rectangular prism you need to formula.

V = whl   w is the width, h is the height, and l is the length.

It shows that the length of one box is 1/2 cm

To find the width, multiply 1/2 by 2 because there's 2 boxes

To find the height, multiply 1/2 by 3 because there's 3 boxes going up

To find the length, multiply 1/2 by 5 because there's 5 boxes going across

Now that you have the width, height, and length put them into the formula.

[tex]V = (1)(\frac{3}{2})(\frac{5}{2})[/tex] multiply everything together

[tex]V= \frac{15}{4}[/tex]

The volume of the rectangular prism is 15/4.

In three dimensional space prism is a polyhedron where two ends are similar.

Given we have  the length of one box is 1/2cm.

To find find the volume of a rectangular prism;

volume of rectangular prism = width x height x length.

To find the width,

multiply 1/2 by 2 because there's 2 boxes.

To find the height,

multiply 1/2 by 3 because there's 3 boxes in one column.

To find the length,

multiply 1/2 by 5 because there's 5 boxes  in  one row.

Now,

volume of rectangular prism = 2(length) x 3 (length) x 5 (length)

volume of rectangular prism = 2(1/2) x 3 (1/2) x 5 (1/2)

volume of rectangular prism = 1 x 3/2 x 5/2

volume of rectangular prism = 15/4

Therefore, the volume of the rectangular prism is 15/4.

To learn more about the prism;

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Answer:

Two.

Step-by-step explanation:

Simultaneous equation is a Finite sets of equations whose common solutions are sought.

Two solutions in the equation above is sought.

Answer: triangular pyramid

Step-by-step explanation:

Answer:

Triangular Pyramid

Step-by-step explanation:

A triangular pyramid consists of 1 triangular base, with three lateral faces also in the shape of a triangle. Its net consists of 4 triangles, and is a solid 3-Dimensional figure. I hoped this helped.

Answer:

349.2%

Step-by-step explanation:

£256 = 100%

£2.56 = 1%    

£894 = 349.2%