What is 12 1/2% of 300

The modified equation is expressed as g(x) = x^2 - 6

Translation is the process of changing the position on an x-plane.

Given the function of a graph expressed as y=x^2

If the function is shifted 6 units to the left, hence the resulting function is given as;

g(x) = x^2 - 6

Hence the modified equation is expressed as g(x) = x^2 - 6

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Answer:

Frank was born in 1933 and died in 1946 at the age of 57. 1933 and 1946 are not years but just room or ward numbers.

EXPLANATION:

The numerical 1933 and 1946 do not signify the year of birth or death. No where in the question is the word 'years' mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.

Similarly 1946 is the room or ward number where Frank died. Hence his age is irrelevant with respect to 1933 and 1946. His related age of 57 thus has nothing to do with them.  

Answer:

The numerical 1933 and 1946 do not signify the year of birth or death. Nowhere in the question is the word ‘years’ mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.

Step-by-step explanation:

22 ml of rboh is titrated with 35 ml of 0.9 m hf. The concentration of the base is 1.43M.

Titration is a method of chemical analysis in which the amount of a sample's ingredient is determined by adding an exact known amount of a different substance to the measured sample in which the desired constituent interacts in a specific, known proportion. Titrating reagent, or titrant, is often added to a standard solution (i.e., a solution of known concentration) using a burette, which is essentially a long, graduated measurement tube with a stopcock and a delivery tube at its bottom end. When the equivalence point is achieved, the addition is terminated.

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Answer: 2 2/3

Step-by-step explanation:

2/3 x 4/1 multiply the numerators together and the denominators together

2 time 4/ 3 times 1= 8over 3

then simplfy it

so your answer will be 2 and 2/3

Answer:

four times the amount of mike

Step-by-step explanation:

Answer:

See below to complete

Step-by-step explanation:

ABC = 37 +21 °

LMN = 85 +23 °

Answer:

the most logical answer is

n^2-1

20th term is then 399

Step-by-step explanation:

The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1

0 = 1*1 - 1

3 = 2*2 - 1

8 = 3*3 - 1

15 = 4*4 - 1

24 = 5*5 - 1

So we expect that the explicit formula is n^2-1 and the 20th term is 399

Using linear function concepts, the correct option is given by:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the function is:

y = 3.6 - 0.3x.

The function has a initial GPA of 3.6(student who sends 0 texts), then for each text the student sends, the GPA falls by 0.3(slope of -0.3), hence the correct option is:

The slope is −0.3. Starting at 3.6, the GPA will decrease by 0.3 for every text sent in class.

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Answer:

the price of 30 crayons is 3.6$.

Step-by-step explanation:

Given that

price of 8 crayons is 0.96$

so the price of 1 crayon is

0.96÷8=0.12$

now we have to find the cost of 30

crayons

we know that price of 1 crayon is 0.12$

so the price of 30 crayons is

0.12$×30= 3.6$.

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Answer:Given the cost of a box of 8 crayons, the cost of each crayon is 0.12.                                                                                                                       a box containing 30 cryaons will cost 3.6

Step-by-step explanation:   Given that ,

box of 8 crayons cost=0.96                                                                                           cost of each crayon=?                                                                                         cost of each 30 crayon box=?                                                                                                 first, we determine the cost of abox with 30 crayons .                                                     8 crayons cost 0.96.                                                                                                           1crayon cost x.                                                                                                                        x=0.96÷8=0.12                                                                                                                                   Next we determine the cost of abox with 30 crayons .                                                                                                1 cryaon cost 0.12                                                                                                                 30 crayons cost y                                                                                                                  y=30×0.12                                                                                                                                    y=3.6                                        

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=19.

Add 9 to 10.

It's 19.

Man, that's so hard!
Even I had to use a calculator.

If angle 1 = 30° and angle 1 and angle 2 are equal, then angle 2 = 30°. This illustrates vertically opposite angles.

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

A pair of angles that are vertically opposed to one another are always equal. When two lines join to form an angle, say X=45°, the opposite angle is also 45°, for instance.

In this case, the angles are vertically opposite angles.

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The fraction of the books in the library that are fiction and paperbacks is 18/35

3/5 of the books in the library are fiction

6/7 of the books are paperback

Therefore the fraction of the books that are fictions and paperbacks can be calculated as follows

3/5 × 6/7

= 18/35

Hence 18/35 of the books are fiction and paperbacks

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Answer

EAD= EBC true.

Step-by-step explanation:

Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.

Answer:

180

Step-by-step explanation:

Nightly cost = x

x × 5% = Sales Tax

Total Cost : Percentage

      189     :        105%

         x       :        100%

Cross multiply:

189 × 100% = 105% × x

189 = 1.05x

189 ÷ 1.05 = x

x = 180

It looks like the system of ODEs is

[tex]\begin{cases} 2x' + y' - 4x - 4y = e^{-t} \\ x' + y' + 2x + y = e^{4t} \end{cases}[/tex]

Differentiate both sides of both equations with respect to [tex]t[/tex].

[tex]\begin{cases} 2x'' + y'' - 4x' - 4y' = -e^{-t} \\ x'' + y'' + 2x' + y' = 4e^{4t} \end{cases}[/tex]

Eliminating the exponential terms, we have

[tex](2x' + y' - 4x - 4y) + (2x'' + y'' - 4x' - 4y') = e^{-t} + (-e^{-t}) \\\\ \implies (2x'' - 2x' - 4x) + (y'' - 3y' - 4y) = 0[/tex]

[tex](x'' + y'' + 2x' + y') - 4 (x' + y' + 2x + y) = 4e^{4t} - 4\cdot e^{4t} \\\\ \implies (x'' - 2x' - 8x) + (y'' - 3y' - 4y) = 0[/tex]

Now we can eliminate [tex]y[/tex] and it derivatives.

[tex]\bigg((2x'' - 2x' - 4x) + (y'' - 3y' - 4y)\bigg) - \bigg((x'' - 2x' - 8x) + (y'' - 3y' - 4y)\bigg) = 0 - 0 \\\\ \implies x'' + 4x = 0[/tex]

Solve for [tex]x[/tex]. The characteristic equation is [tex]r^2 + 4 = 0[/tex] with roots at [tex]r=\pm2i[/tex], hence the characteristic solution is

[tex]\boxed{x(t) = C_1 \cos(2t) + C_2 \sin(2t)}[/tex]

Solve for [tex]y[/tex]. Substituting [tex]x[/tex] into the second ODE gives

[tex]x' + y' + 2x + y = e^{4t} \\\\ \implies y' + y = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t)[/tex]

The characteristic equation this time is [tex]r + 1 = 0[/tex] with a root at [tex]r=-1[/tex], hence the characteristic solution is

[tex]y(t) = C_3 e^{-t}[/tex]

Assume a particular solution with unknown coefficients [tex]a,b,c[/tex] of the form

[tex]y_p = ae^{4t} + b \cos(2t) + c \sin(2t) \\\\ \implies {y_p}' = 4ae^{4t} - 2b\sin(2t) + 2c\cos(2t)[/tex]

Substituting into the ODE gives

[tex]5ae^{4t} + (b+2c) \cos(2t) + (-2b+c) \sin(2t) = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t) \\\\ \implies \begin{cases}5a = 1 \\ b+2c = C_1 \\ -2b+c = C_2\end{cases} \\\\ \implies a=\dfrac15, b=\dfrac{C_1-2C_2}5, c=\dfrac{2C_1+C_2}5[/tex]

so that the general solution is

[tex]\boxed{y(t) = \dfrac15 e^{4t} + \dfrac{C_1-2C_2}5 \cos(2t) + \dfrac{2C_1+C_2}5 \sin(2t) + C_3 e^{-t}}[/tex]

Answer:

D

Step-by-step explanation:

the simplification of 12.9 - 2.8 - 7.2 + 9.1 is 12

The original price of the bed was £330.

From the question, we are to determine the original price of the bed.

Let the original price of the bed be x

From the given information,

The current sale price of the bed is £257.40, and this price is a saving of 22% on the original price

Then,

We can write that

x - 22% of x = £257.40

Thus,

x - 0.22x = £257.40

0.78x = £257.40

x = £257.40/0.78

x = £330

Hence, the original price of the bed was £330.

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Answer:330

Step-by-step explanation:

easy way to do this:

1. ok so you know 100%=x and 100-22=73 so that means that 73%=2570.40

2. so write them with the known above the unknown: 100%=x

                                                                                          78%=2457.40

3. no cross multiply like this [tex]\frac{100X257.40}{78}[/tex] imagine the multiplication sign is the X here( the app didn't let me change that?)

4. the solution equals 330 which the answer

5. YOU DID IT!!

Answer:

18.11

Step-by-step explanation:

Look at the file I attached

I marked a new point E for explanation purposes.

to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.

To find out the length of BE, we need to know AE, and

AE is AD - BC

AE = 11 - 4

AE = 7

Now we have AE

Use the Pythagoras theorem to calculate BE

AE² + BE² = AB²

7² + BE² = 16²

16² - 7² = BE²

207 = BE²

√207 = BE

Since BE = CD

The length of CD is √207

Now use the Pythagoras theorem again

AD² + CD² = AC²

11² + (√207)² = AC²

121 + 207 = AC²

328 = AC²

√328 = AC

AC = 18.11

Answer should be l=p-w/2, or c.

Answer:  A

Step-by-step explanation: A because you have to find the total amount of money so you a X

i think/ hope

118=11x-7+5x-3

118=16x-10

128=16x

8=x

11x-7=adb

88-7=adb

81 degrees

The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Joann worked for  64 hours in week.

Let the number of hours she work be x. The payment for first 35 hours will be added with the multiple of number of extra hours and payment for the same.

Forming the equation according above mentioned statement :

13 + 19.5x = 572

Solving the equation to find the number of hours worked by Joann

Shifting 13 to Right Hand Side of the equation

19.5x = 572 - 13

Performing subtraction on Right Hand Side of the equation

19.5x =  559

Shifting 19.5 to Right Hand Side of the equation at denominator

x = 559 ÷ 19.5

x = 28.67 hours

Rounding off the number of hours, we get the value = 29

So, Joann worked for 29 extra hours. To find the total number of hours she worked, we will simply add her working hours.

Total number of hours Joann worked = 35 hours + extra hours

Total number of hours Joann worked = 35 + 29

Total number of hours Joann worked = 64 hours

Hence, Joann worked for 64 hours in week.

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Reflected over the x-axis , Compressed by a factor of 0.4. , Translated 2 units left.

What is  Reflected over the x-axis?

Point (x, y) is reflected across the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.

[tex]y = \sqrt[3]{x}[/tex]

[tex]y' = - 0.4\sqrt[3]{x - 2}[/tex]

Required

The transformation from y to y'

First, y is reflected over the x-axis.

The transformation rule is

(x, y)   → ( x, -y)

So, we have

y = ∛x becomes

y' = - ∛x

Next, it was compressed by a scale factor of 0.4

The rule is

y' = k * y

Where k is the scale factor (i.e. k = 0.4)

So, we have

y' = 0.4 * -∛x

y' = - (0.4)∛x

Lastly, the function is translated 2 units left;

The rule is

(x, y)  → ( x - 2 ,y)

So, we have

[tex]y' = ( 0 .4)\sqrt[3]{x - 2}[/tex]

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