Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements?

A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4

Answer:

Step-by-step explanation:

[tex]Opposite = r\\Hypotenuse = 13\\\alpha = 34\\Using SOHCAHTOA\\Sin \alpha = \frac{opp}{hyp} \\Sin 34 = \frac{r}{13} \\0.559 = \frac{r}{13} \\Cross \: Multiply\\r = 0.559\times 13\\r = 7.267\\r = 7.27[/tex]

Answer:

(C) x² - 5x - 14

Step-by-step explanation:

The roots of any quadratic equation will always make the equation equal to 0. So, we can test each equation with the values -2 and 7 to test if both values make the equation 0.

Let's start with A. x² + 5x - 14.

(-2²) + (5 × -2) - 14

4 - 10 - 14 = -20, so we already know that A doesn't work as it doesn't equal 0.

Let's try B. (x+2)² + 7.

(-2+2)² + 7

0² + 7

0+7 = 7, so B doesn't work either.

Let's try C. x² - 5x - 14.

(-2²) - (5×-2) -14

4 + 10 - 14 = 0, ooh we're on to something here! However, for this equation to work, both -2 AND 7 have to work with it. Let's try 7.

(7²) - (5×7) - 14

49 - 35 - 14 = 0, so yes! Both -2 and 7 work for this equation.  Therefore, the roots -2 and 7 work for the quadratic function of x² - 5x - 14, C.

Hope this helped!

Answer:

(-13)^35

Step-by-step explanation:

As instructed,

(-13) * (-13) ...(-13) 35 times is represnted as

(-13)^35

( = -972786042517719014174576083150881262357   .... by the way)

Answer: C. [tex]\sqrt{9} * \sqrt{4}[/tex]

Step-by-step explanation:

There is a square root rule that states [tex]\sqrt{x*y} = \sqrt{x} * \sqrt{y} \\[/tex]

We can apply this rule to this problem.

Given [tex]\sqrt{9*4}[/tex]

We can use the rule to make it equal to [tex]\sqrt{9} * \sqrt{4}[/tex]

This is answer choice C.

Answer: c

Step-by-step explanation: 9*4=36          36* 36 = 1296

9 * 9 = 81      4 * 4 = 16       81 * 16 =  1296    hope this helps

Answer:

1040

Step-by-step explanation:

Answer: The number is 1040.

Step-by-step explanation:

The question says 12.5% of a number is 130 so we can represent it by the equation.

12.5% * x = 130   where x is the number.Solve for x

12.5% * x = 130   convert 12.5% to a decimal

0.125 * x = 130

0.125x = 130   Divide both sides by 0.125

x= 1040  

Check.  

1040 * 12.5% = 130

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

a = 525  & b  = 475

525² - 475² = (525 + 475) (525 - 475)

                   =1000 * 50

                   = 50,000

The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

The expression given is:

(525)² - (475)²

The above expression looks similar to the expression (a²- b²).

The simplified form of the expression (a²- b²) is (a+b) (a-b).

So, (525)² - (475)² can be written as:

(525)² - (475)² = (525+475) (525-475)

(525)² - (475)² = 1000 * 50

(525)² - (475)² = 50000

Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

To get more about algebraic identities visit:

https://brainly.com/question/1528309

Answer:

0.9168

Step-by-step explanation:

From the data given:

Mean = 110

standard deviation = 5

Let consider a random sample n =49 which have a mean between 109 and 112.

The test statistics can be computed as:

[tex]Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}[/tex]

[tex]Z_1= \dfrac{-1}{\dfrac{5}{7}}[/tex]

[tex]Z_1[/tex]  = -1.4

[tex]Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}[/tex]

[tex]Z_2 = \dfrac{2}{\dfrac{5}{7}}[/tex]

[tex]Z_2 =2.8[/tex]

Thus; P(109  <  [tex]\overline x[/tex]  <  112) = P( - 1.4 < Z < 2.8)

= P(Z < 2.8) - P( Z < -1.4)

= 0.9974 - 0.0806

= 0.9168

Answer: y = 2/5 --> y = 0.4

Step-by-step explanation:

5y = 2 is a horizontal line at y = 2/5

so the y-value is 2/5 = 0.4 at EVERY x-value.

Answer:

74°.

Step-by-step explanation:

From the question given above,

Cos A = 0.2785

To get the value of angle A, we simply find the inverse of Cos as shown below:

Cos A = 0.2785

Take the inverse of Cos.

A = Cos¯¹ 0.2785

A = 73.8° ≈ 74°

Therefore, the value of angle A is approximately 74°

Answer:

Step-by-step explanation:

[tex](3x)^{2}[/tex]=[tex](3(2))^{2}[/tex] =36

(OR)

3([tex]x^{2}[/tex])=3(4)=12

Its depend on your sentence structure, what u r asking!!

The value of 3x squared when x = 2 is 36.

Given expression  [tex](3x)^2[/tex].

We have to calculate the value of this at [tex]x=2[/tex].

Now putting the value of x in the expression we get,

[tex](3\times2)^{2}[/tex]

Or,[tex]6^{2}[/tex]

[tex]36[/tex]

Hence the value of [tex](3x)^2[/tex] at [tex]x=2[/tex] will be 36.

For more details follow the link:

https://brainly.com/question/14170328

Answer:

13/90

Step-by-step explanation:

The decimal that you wrote is mixed non terminal decimal. Which means all the number don't repeat themselves.

The denominator of a non terminating decimal is always 9 even though it depends on the type of the decimal, whether it is simple or mixed

The denominator of the given decimal is 90. The denominator is 2 digit number since the given decimal is also 2 digit decimal even though it is under repeating bars.

And the numerator is 10, 13-3.

We subtract 3 since it is the one repeating itself.

Hope it helps ;) ❤❤❤

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

                       = 12 ÷ 3

                      r = 4

[tex]a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432[/tex]

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

[tex]y^{'}[/tex] = [tex]\frac{dy}{dx}[/tex] = [tex]\frac{d(5 + x - x^2)}{dx}[/tex]

[tex]y^{'}[/tex] = [tex]1 - 2x[/tex]

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = [tex]\frac{1}{2}[/tex]

Therefore, the value of x for which the function is maximum is [tex]\frac{1}{2}[/tex]

Answer:

x = 1/2

Step-by-step explanation:

The standard equation of a quadratic function is given by:

y = ax² + bx + c, If a > 0 then the graph has a minimum but if a < 0, then the graph has a maximum. To find the maximum or minimum, we differentiate the function with respect to x and equate to zero that is y'(x) = 0.

For the function y = 5 + x - x², a = -1 < 0, therefore it has a maximum.

Differentiating with respect to x:

y'(x) = 1 - 2x

Equating to zero

-2x + 1 = 0

-2x = -1

x = -1/ -2

x = 1/2

The function has a maximum at x = 1/2

Answer:

The inclination of the through the points (5, 14) and (9, 18) is 45°

Step-by-step explanation:

The given point has coordinates (5, 14) and (9, 18)

To find the inclination, θ, of the line passing the two points, with point 1 having coordinates (x₁, y₁) and point 2,  having coordinates (x₂, y₂), we have to look for the slope as follows;

The slope, m = Change in the y-coordinate ÷ Change in the x-coordinate

[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]

Where:

y₁ = The y-coordinate of point 1 = 14

x₁ = The x-coordinate of point 1 = 5

y₂ = The y-coordinate of point 2 = 18

x₂ = The x-coordinate of point 2 = 9

Substituting, we have;

[tex]m = \dfrac{18 - 14}{9-5} = \dfrac{4}{4} = 1[/tex]

The inclination of the line is the angle the line makes with x-axis

Since the slope gives the ratio of the opposite and adjacent segment to the angle of inclination, the arc-tangent of the slope will give the angle in degrees as follows;

[tex]tan^{-1}m = tan^{-1} \left (\dfrac{y_2 - y_1}{x_2-x_1} \right) = \theta[/tex]

given that m = 1, we have;

tan⁻¹(m) = θ = tan⁻¹(1) =  45°.

Answer: 26 games in total.

Step-by-step explanation:

If in each game we have one winner and one loser, then after each game we have one less player.

first, out of 37 players, we can write it as 36 players  + 1 player that does not play in the first round

the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games

in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.

Now, we can write 19 = 18 players + 1 player that does not play this round.

From the 18 players, we have 18/2 = 9 games.

And from those 9 games, we lose 9 players, so now we have:

19 - 9 = 10 players.

Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.

Now we can write 5 = 4 players + 1 player that does not play this round.

from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.

And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.

Then the total number of games is:

18 + 9 + 5 + 2 + 2 = 26 games

Answer:

See Below.

Step-by-step explanation:

We have the expression:

[tex]3pf^2-21p^2f+6pf-42p^2[/tex]

Part A:

Find the GCF. Notice that we have a three in every term and a p in every term. Thus, the GCF will be 3p. Factor:

[tex]3p(f^2-7pf+2f-14p)[/tex]

This is the most we can do.

Part B:

Continuing from where we left off, we can factor the entire expression by grouping:

[tex]\displaystyle \begin{aligned} &= 3p(f^2-7pf+2f-14p) \\ \\ &= 3p(f(f-7p)+2(f-7p)) \\ \\ &=3p((f+2)(f-7p))\end{aligned}[/tex]

Answer:

104

Step-by-step explanation:

:D

Answer:

no

Step-by-step explanation:

its not divisible by 10

you can also see that it ends with a 6

sorry if thats wrong

Answer:

no b/c the last digit does not end with a ten

Answer:

Domain > 0,  Range C(x) > 2

Step-by-step explanation:

x is the distance, distance is always large than 0 => x > 0

=> Domain x > 0

Multiply both sides by 0.75

=> 0.75x > 0

Add both sides by 2

=> 0.75x + 2 > 0 + 2

=> 0.75x + 2 > 2

=> Range C(x) = 0.75x + 2 > 2

Answer:

Sacramento

Step-by-step explanation:

S 11+9+14+12+8=54

SF 11+8+8+9+12=48

The statement that is true about the information in the table is that the data is non-linear.

The easier way to study the table is by graphing it. Here we have the points:

(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).

The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.

So the correct option is non-linear.

If you want to learn more about tables, you can read:

https://brainly.com/question/7301139

Answer:

2x - 2

Step-by-step explanation:

Here is the completer question

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Solution

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Expanding the brackets, we have

lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx

Collecting like terms. we have

lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x  + 2x + 3 - 3)]/Δx

Simplifying, we have

lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx

lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx

Dividing through by Δx, we have

lim as Δx → 0 [2x - 2 + (Δx)]

Inserting Δx = 0, we have

= lim as Δx → 0 (2x -2 + 0)

= 2x -2

So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2

Answer:

0.578

Step-by-step explanation:

If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

Given that there are 14 orders at the ratio by of:

6 with hot peppers

8 without hot peppers

At most two have hot peppers.

Binomial Problem with n = 3 ; p(hot) = 6/8

P(0<= x <=2) = 1 - P(x = 3)

= 1 - (6/8)^3

= 1 - ( 3/4 )^3

= 1 - ( 27/64 )^3

= 1- (37/64)

= 1 - 0.421875

= 0.578125

= 0.578

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The area of a regular octahedron is given by:

area = [tex]2\sqrt{3}\ *edge^2[/tex]. Let a is the length of the edge (diagonal).

area = [tex]2\sqrt{3}\ *a^2[/tex]

Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.

a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:

[tex]h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a[/tex]

The area of a tetrahedron is given by:

area = [tex]\sqrt{3}\ *edge^2[/tex] = [tex]\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2[/tex]

The ratio of area of regular octahedron to area tetrahedron regular is given as:

Ratio = [tex]\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}[/tex]

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

Answer:

0.09

Step-by-step explanation:

11.52 / 128

First, divide both numerator and denominator by 2:

2.88 / 32

Divide both numerator and denominator by 4:

0.72 / 8

Divide 0.72 by 8, you get 0.09.

Answer:

5.8 cm

Step-by-step explanation:

Area of the shaded sector of the circle = 31.2 cm²

Angle (θ) of the minor sector = 360 - 256 = 104°

Are of sector of a circle is given as, θ/360*πr²

Therefore:

[tex] \frac{104}{360}*3.142*r^2 = 31.2 [/tex]

[tex] 0.29*3.142*r^2 = 31.2 [/tex]

[tex] 0.91*r^2 = 31.2 [/tex]

Divide both sides by 0.91

[tex] \frac{0.91*r^2}{0.91} = \frac{31.2}{0.91} [/tex]

[tex] r^2 = \frac{31.2}{0.91} [/tex]

[tex] r^2 = 34.286 [/tex]

[tex] r = \sqrt{34.286} [/tex]

[tex] r = 5.8 [/tex] (nearest tenth)

Answer:

The point (1,0) is common to all log functions of the form k(x) = logb x with any base (b). Logarithmic functions share this feature because of a property of exponents that states b0 = 1 for any value of b.

In a log function of the form k(x) = logb x, k(1) = logb 1.

So, by the definition of a logarithm, bk(1) = 1.

Applying the property of exponents to bk(1) = 1 = b0, we get k(1) = 0.

So, (1,0) is a point on the graph.

Step-by-step explanation:

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

Answer:

  0.92

Step-by-step explanation:

Each year, the value declines. This eliminates choices A and D.

The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...

  0.92 . . . . the third listed choice

Answer:

0.72 is it rounded to the nearest hundredth. I think there was a typo. if you actually mean hundred like 100 then 0 is the answer.

0.72

Answer:

.720

Step-by-step explanation:

9 rounds up