I am not understanding

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:

See below to complete

Step-by-step explanation:

ABC = 37 +21 °

LMN = 85 +23 °

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.

0.00345    is the value of p(x).

What means binomial distribution?

P(x₁= 2 , x₂ = 2 , x₃ = 5 )

p( x₁= 2) . p(  x₂ = 2) . p( x₃ = 5)        .........( as these are independent variable)

[c⁴₂ ( 0.5 )² ( 0.5 )² ] [ c⁶₂  ( 1/3)²(2/3)⁴ ] [ c¹²₅ (1/6)⁵ (5/6)⁷  

= 0.375 × 0. 329 × 0.028

= 0.00345  

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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.

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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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]

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:  A

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

i think/ hope

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

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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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:

I don't know

Step-by-step explanation:

tdhdujdjbd

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

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:

four times the amount of mike

Step-by-step explanation:

The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.

Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.

The seven characteristics that define relational database are:

Accuracy and Precision

Legitimacy and Validity

Reliability and Consistency

Timeliness and Relevance

Completeness and Comprehensiveness

Availability and Accessibility

Granularity and Uniqueness

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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

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:

3.04 g/mL

Step-by-step explanation:

density = mass/volume

density = 66.8 g / 22.0 mL

density = 3.04 g/mL

Answer:

D

Step-by-step explanation:

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

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

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                                        

The slope intercept form of the equation 12x ₊ 8y = ₋24 is

y = ₋3/2 x ₋ 3

Given the equation is 12x ₊ 8y = ₋24

we are asked to convert the given equation into slope intercept form.

Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.

12x ₊ 8y = ₋24

⇒ 12x ₊ 8y ₊ 24  = 0

we re-arrange the equation of the line to write it in the standard form

y = mx + b.

12x ₊ 8y = ₋24

8y = ₋12x ₋ 24

now divide the terms on the right side by 8.

y = ₋12x/8 ₋ 24/8

y = ₋3/2x ₋ 3

hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3

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Answer:

I don't know to be honest

Step-by-step explanation:

that's great

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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