Jason has a starting salary of 9.25 per hour .Jason’s manager informs him that if he meets his self quota each month he can expect annual pay rate increase of 0.90 write an equation representing the relationship between the years on the job y and pay per hour p

Answer:see the photo I send to you

Step-by-step explanation:

Ok

Answer:

m ∠x = 81° and m ∠y = 109°

Step-by-step explanation:

m ∠R = 1/2 (arc REG)         m ∠G = 1/2(arc REF)

89° = 1/2 (arc REG)             81 = 1/2(arc REF)

178° = arc REG                    162° = arc REF

  m ∠x = 1/2 arc REF

  m ∠x = 1/2( 162°)

  m ∠x = 81°       or m ∠G = m ∠x  because these to angles intersect the same arc, therefore they are equal.

Now the polygon interior angles = 360° and you know the measure of three of the four angles, solve for the missing angle .

m ∠R + m ∠x + m ∠y + m ∠G = 360°

 89° +  81° + m ∠y + 89° = 360°

(89 + 81 + 81) + m ∠y = 360°

251° + m ∠y = 360°

m ∠y = 109°

Answer:

18.8 in

Step-by-step explanation:

the pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c, [tex]\sqrt{a^{2}+b^2}} =c[/tex]

the two legs are 8 and 17 inches. so we have [tex]\sqrt{8^{2}+17^2}} =c[/tex]. simplify to get sqrt(353) or around 18.79in

Answer:

18.8

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 17^2 = c^2

64+289 = c^2

353=c^2

Taking the square root of each side

sqrt(353) = sqrt(c^2)

18.78829423 = c

To the nearest tenth

18.8 =c

Answer:

A. - This is my guess.

If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, then he spent 22 hours on the Island

1 hour on the land = 2 years on the Island

Age of the boy when he got to the Island = 6 years

Age of the boy at the end of the movie = 50 years old

Difference in the boy's age = 50 - 6

Difference in the boy's age = 44 years

Since:

2 years = 1 hour

44 years = 44/2 hours

44 years = 22 hours

The boy was on the Island for 22 hours

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Step-by-step explanation:

just think - what does it mean to translate (shift) a graph upward by 5 units ?

does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).

so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.

h(x) = 2x² + 4

f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9

Answer:

7. (0, -3) (1,-4) (2,-2)

The dimensions of triangle ΔDEF can be obtained from ΔABC by applying a scale factor of dilation of [tex]\displaystyle \frac{1}{2}[/tex].

Reasons:

The given vertices of the triangles are;

ΔABC: A(1, 5), B(3, 9), C(5, 3)

ΔDEF: D(-3, 3), E(-2, 5), and F(-1, 2)

The lengths of the sides of ΔABC are

AB = √((1 - 3)² + (5 - 9)²) = √20 = 2·√5

BC = √((5 - 3)² + (3 - 9)²) = √40 = 2·√10

AC = √((1 - 5)² + (5 - 3)²) = √20 = 2·√10

The lengths of the sides of ΔDEF are;

DE = √((-3 - (-2))² + (3 - 5)²) = √5

EF = FE = √((-1 - (-2))² + (2 - 5)²) = √10

DF = √((-3 - (-1))² + (3 - 2)²) = √5

Therefore;

[tex]\displaystyle The \ dilation \ that \ gives \ \Delta ABC = \frac{\overline {EF}}{\overline {BC}} = \frac{\overline {DE}}{\overline {AB}} = \frac{\overline {DF}}{\overline {AC}} = \frac{\sqrt{10} }{2\cdot \sqrt{10} } = \frac{1}{2}[/tex]

The ratio of the sides of ΔABC to the corresponding sides of ΔDEF are equal to [tex]\displaystyle \frac{1}{2}[/tex].

Which gives;

ΔDEF is a dilation of ΔABC, and ΔDEF and ΔABC are similar by the

definition of similarity in terms of a dilation.

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Answer:

Step-by-step explanation:

They are congruent by the definition of congruence in terms of rigid motions.

Notice that 100 is 20 less than 120, or equivalently 2 standard deviations σ below the mean µ. So

P(x ≥ 100) = P(x ≥ µ - 2σ)

Recall the empirical rule for normal distributions (these are true for any mean µ and s.d. σ):

• P(µ - σ ≤ x ≤ µ + σ) ≈ 0.65

• P(µ - 2σ ≤ x ≤ µ + 2σ) ≈ 0.95

• P(µ - 3σ ≤ x ≤ µ + 3σ) ≈ 0.997

The probability we want is the same as

P(x ≥ µ - 2σ) = P(µ - 2σ ≤ x ≤ µ + 2σ) + P(µ + 2σ ≤ x)

or

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

which is clearly some number larger than 0.95, so A must be correct.

Suppose a normal distribution has a mean of 120 and a standard deviation, P(x >= 100) is 0.975. Option A. This is further explained below.

Generally, normal distribution is simply defined as a function that displays the dispersion of numerous unknown parameters as a symmetrical bell-shaped graph.

In conclusion, based on the function

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

the function P(x >= 100) is 0.975

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The dimensions of the border is 1.5 feet for the garden

A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.

The area of a rectangle = Length * breadth

Given that length of garden = 16 ft., width of garden = 12 ft.

It is surrounded by a mulch of width x, hence:

New length = 16 + x + x = 16 + 2x

New width = 12 + x + x = 12 + 2x

The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²

Since the maximum area is 285 ft, hence:

192 + 56x + 4x² = 285

4x² + 56x - 93 = 0

x = 1.5 feet

The dimensions of the border is 1.5 feet

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Answer:

a because u would practically take the negative off

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

By the definition of the multiplicative inverse:

a * 1/a=1

Now, Multiplicative inverse of - 8/11:

=-8/11 * -11/8

=1

Step-by-step explanation:

3:1 boys

x:4 boys (when there are 4 girls)

x = 3×4 = 12

there are 12 boys in the class.

Answer:

60%

Step-by-step explanation:

1% is 3.5

10% is 35

210 / 35 = 6

Answer:

192

Step-by-step explanation:

Answer:

$17.60

Step-by-step explanation:

Answer: 0.3

Step-by-step explanation:

because the hundreths place is less than 5 you round down the 0.3. If it was 5 or greater you would round up to 0.4

Answer:

-26

Step-by-step explanation:

2 × 3 + 4 − 6^2

PEMDAS

exponents are first in this equation

2 × 3 + 4 − 36

Then multiply

6 +4 -36

Then add and subtract from left to right

10-36

-26

Answer:

A) -26

Step-by-step explanation:

2 * 3 + 4 - 6²

Use PEMDAS to figure out the equation.

Pass parenthesis since there are none in the equation.

Evaluate all of the exponents.

2 * 3 + 4 - 36

Evaluate all of the multiplication in the equation.

6 + 4 - 36

Pass division since there isn't any in the equation.

Evaluate all of the addition in the equation.

10 - 36

Evaluate all of the subtraction in the equation.

-26.

Answer:

A) 13

Step-by-step explanation:

If you recall the formula for finding a diagonal, or a^2 + B^2 = C^2, you will get 12^2 + 5^2 = C^2, if you solve that, you will get 13!

Answer:

no, it's 1.2

Step-by-step explanation:

Answer:

45.82

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

23 gallons per hour

Step-by-step explanation:

5 3/4 * 4 = 23

times the amount drank in 1/4 hours by 4 to get the amount drank in 1 hour

(1/4 * 4 = 1 hour (example))

Answer:  32.50  [No $ sign as per the directions]

Step-by-step explanation:

The graph appears as a straight line.  That means we can pick any two points and calculate the slope, m, for the equation of a straight line:  y = mx + b

We can pick any two points, so I'll pick two that do not require interpretation of the graph.  Points (0,0) and (8,20) look good since we can feel relatively confident that the line crosses those two points since they fall on the graph marking lines.

Slope is Rise/Run, or the change in y per the change in x.  For these two points, we have:

Rise = (20 - 0) or 20

Run =    (8 - 0) or 8

The slope is Rise/Run.  20/8, or 2.5

[The units for the slope are $/lb, but units are to be left out of the answer]

The equation is now y = 2.5x + b

b is the y-intercept, the value of y when x = 0.  We can see that y = o when x = 0, so b is zero.

The final equation is y = 2.5x

Use x = 13 lbs to find the cost of 13 lbs of blueberries.

It is 13*2.5 = 32.50

Answer:

He can repair 9 books in 6 weeks

Step-by-step explanation:

1.5 x 6 = 9

Answer:

In six weeks, he can restore 9 antique books.

1.5 × 6 = 9

Step-by-step explanation:

hope this helps. . . <3

Answer:

y = -3/8x - 9/4

Step-by-step explanation:

Since we know the equation is parallel to y = -3/8x + 2, the slope of our equation will also be -3/8

So our equation can be written as:

y = -3/8x + b

To find 'b', we can plug in the point (2, -3) into the equation:

-3 = -3/8 * 2 + b

b = 3/4 - 3 = -9/4

So our final equation becomes:

y = -3/8x - 9/4

Step-by-step explanation:

answer is -3.5........

Answer:

- 1/40

Step-by-step explanation:

-0.025 = -0.025/1

we have 3 numbers after the decimal point so we multiply both numerator and denominator by 1000

( -0.025 x 1000)/(1 x 1000) = -25/1000

reduce the above fraction by dividing both numerator and denominator by the greatest common divisor between them. in this case GCD (25,1000) = 25.

(-25/25)/(1000/25) = - 1/40

Answer:

Option D is your answer.

Step-by-step explanation:

Remember that the x-values are the x coordinates and the y-values are the y coordinates in an ordered pair. Ordered pairs are written like this (x,y).

So for line r, you got (-6,4), (-3,0), and (0,-4).

But you only need two of these pairs to determine slope. Let's do that real quick, by using this formula. (Sorry if it's small)⤵⤵⤵

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

We'll use (-6,4) and ( -3,0).

0 - 4 = -4

-3 - (-6) = -3 + 6 = 3

So slope of line r is -4/3.

Now we'll do the same for line s:

Ordered pairs = (-5,-4), (5,0), and (20,6)

We'll use (-5,-4) and (5,0).

0 - (-4) = 0 + 4 = 4

5 - (-5) = 10

So slope of line s is 4/10 or 2/5.

Now we got to find the option choice that has these as the slopes.

We'll turn each into slope-intercept form.

A)

- Subtract 4x on both sides to get

3y = -4x - 12, then divide 3 on both sides to get y = -4/3 x - 4.

- Subtract 2x on both sides to get

-5y = -2x + 10, then divide -5 on both sides to get y = 2/5 x - 2.

B)

- Add 4x on both sides to get

3y = 4x + 12, the divide 3 on both sides to get y = 4/3 x + 4.

- Subtract 2x on both sides to get

-5y = -2x - 10, divide -5 on both sides to get y = 2/5 x + 2.

C)

- Subtract 4x on both sides to get

-3y = -4x - 12, then divide -3 on both sides to get y = 4/3 x + 4.

- Add 2x on both sides to get

-5y = 2x + 10, then divide -5 on both sides to get y = -2/5 x -2.

D)

- Add 4x on both sides to get

-3y = 4x - 12, then divide -3 on both sides to get y = -4/3 x + 4.

- Add 2x on both sides to get

5y = 2x + 10, then divide 5 on both sides to get y = 2/5 x + 2.

After all that writing we can tell that D is our answer, because both -4/3 and 2/5 appear as slopes.

Sorry this may seem like a lot, but the process really isn't that hard. Hope this helps :)