If f(x) = x2 + 7, what is the equation for f'(x)?

A f'(x) - IVX+7
B f'(x) - +X-7
C f''(x) = 5x +7
D f'(x)= 7/8-7

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.

Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on : The Fourth Day

Meaning of advert and sale

An advert is a form of publicity or awareness done to increase sale or increase the purchase of goods from a company or organization. it makes the public aware of an offer made by an organization or company.

Sale is the exchange of goods or services for money. it is between the company or organization and the consumer.

In Conclusion, Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on The Fourth Day

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Answer: 3

Step-by-step explanation:

The area of the triangle will be 4.2 square meters.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

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✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]

Step-by-step explanation:

4:12 there are four vowels and 12 letters?

Answer:

Q1 = -4, Q2 = 6

Step-by-step explanation:

In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.

Answer:

red marbel

[tex] = \frac{3}{13} [/tex]

green marbel

[tex] = \frac{9}{26} [/tex]

Step-by-step explanation:

for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel

Answer:

[tex]P = 8\pi[/tex]

Step-by-step explanation:

To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.

We know the diameter is 4m, thus, the circumference of one circle (two halves) is:

[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]

To get the total perimeter (circumference) multiply the result by 2:

[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]

Problem 8

The box portion of the shed (ignoring the triangular roof) has a volume of:

length*width*height = 10*8*6.5 = 520 cubic feet

The triangular face on the right side has an area of base*height/2 = 8*2.5/2 = 10. Multiply this with the depth of the triangular prism and we get a volume of 10*10 = 100 cubic feet.

The two sub-volumes combine to 520+100 = 620

===========================================================

Problem 9

Let's find the area of the base

area = side*side = (4.2)*(4.2) = 17.64 sq inches

Then we plug that into the formula below, along with the height of the pyramid

V = volume of a pyramid

V = (1/3)*(area of the base)*(height)

V = (1/3)*(17.64)*(5)

V = 29.4

Your teacher made a typo. She or he should have written [tex]\text{in}^3[/tex] instead of [tex]\text{in}^2[/tex]

Answer:

Okay so you basically need to break this shape into sensible pieces. Such as rectangular and triangular prisms.

first let's find the rectangular prisms' volume, we need to multiply 6.5 with 10 and 8.

6.5×10×8 gives us 520

520 is the volume of the rectangular prism (below the shape)

to find the triangular prism's volume follow these steps:

2.5×8×10×1/2 which gives us 100

now we need to take the sum of these

100+520=620

the answer is C good luck!

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

Simplified

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Step-by-step explanation:

[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]

[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]

[tex]2^(^2^+^1^) = 2^3[/tex]

[tex](2^3\cdot3\cdot5^3j^5)[/tex]

Answer:

1.85 because: 9.25 divided by 5 equals 1.85

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Answer:

10% maybe

Step-by-step explanation:

because 90% said no and 10% said yes

I hope it helps you

Answer:

4.7 Pounds

Step-by-step explanation:

[tex]14 \div 3≈4.6[/tex]

(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)

Answer:

A. -1 ≤ x ≤ 3

Step-by-step explanation:

According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:

[-1, 3] or -1 ≤ x ≤ 3

Answer:

3.14159265359 or simplify it to 3.14...

Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

30 mm, 2.5cm,20cm and 1m

Answer: sin(x)=5/11

Step-by-step explanation:

For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

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Answer:

True (-∞, ∞)

Step-by-step explanation:

−11 + 16 ≤ −5 + 16

5 ≤ 11

Let's examine what the problem gives us:

What does the problem want:

  ⇒ time (in hours)

Must find the relationship between distance, speed, and time:

   ⇒ Distance = Speed * Time

       ⇒  [tex]Time = \frac{Distance}{Speed}[/tex]

Let's convert some units:

               ⇒ let's convert

                  ⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]

Now let's solve:

   [tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]

Answer: 73.33 hrs (estimated)

The length of time needed for the dough to last if 40 pizzas is required is 4 hours.

let

l = k / p

where,

k = constant of proportionality

If l = 5 and p = 32

l = k / p

5 = k / 32

5 × 32 = k

160 = k

Find l when p = 40

l = k / p

l = 160/40

l = 4 hours

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Answer:

NO

Step-by-step explanation:

Because the sum of the minor sides equals the measure of the major side, it must be less.

2 + 4 = 6

Hope this helps

Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.

I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.

Hope this helps!