[tex]\lim_{x \to \ 7} \frac{2x^2-11x-21}{x^2-9x+14}[/tex]

Answer:

−101430

Step-by-step explanation:

Pictomath lol

No of hours

[tex]\\ \sf\longmapsto 4(1)[/tex]

[tex]\\ \sf\longmapsto 4 hours[/tex]

None of the above

Answer: -27

Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27

Answer:

40 calories per 10 min

Step-by-step explanation:

Because 30 divided by 3 is 10 and 120 divided by 3 is 40

Answer: See below

Step-by-step explanation:

1. Yes

2. No

3.No

4. Yes

5. No

6. Yes

7. No

8. No

9. Yes

well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C

Answer:

153

Step-by-step explanation:

The formula is 3 mL of A to 5 mL of B.

Let's say the chemist uses just the numbers in the formula.

Add 3 mL of A to 5 mL of B.

3 mL + 5 mL = 8 mL

The chemist ends up with 8 mL of the drug.

He really want 408 mL.

408 mL is how many times greater than 8 mL?

408/8 = 51

He needs to use 51 times the numbers in the formula.

51 * 3 mL of A + 51 * 5 mL of B =

= 153 mL of A + 255 mL of B

= 408 mL of the drug

Answer: 153

Using polar/cylindrical coordinates, we take

x = r cos(t )

y = r sin(t )

z = z

so that

dV = dx dy dz = r dr dt dz

The solid is given by the set

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in cylindrical coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

Then the volume of the solid is

[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]

The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.

[tex]V = \iint_R f(x,y) \,dA.\\[/tex]

Similarly, by polar coordinates,

x = r cost

y = r sint

z = z

we get, dV = dx dy dz = r dr dt dz

The solid is given

D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}

or in polar coordinates,

D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}

The volume of the solid is

[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]

Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.

Learn more about the volume of the solid;

https://brainly.com/question/12649605

Answer:

the answer is infinity....

Answer:

54 = 6x

Step-by-step explanation:

Answer:

it will look like this 4(a+3)-2/3

Step-by-step explanation:

look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve

Answer:

Step-by-step explanation:

Id..k how to help u sorry

Step-by-step explanation:

es 1

6/9+2/3+10/2(5)=

6+6+45/9=

57/9

es 2

-3/6-2/4-10/5(2)=

-6-6-24/12=

36/12=3

es 3

15/8-3/2+8/9=

135-108+64/72=

91/72

Answer:

sorry bro I even don't know coz I am class 7

Answer:

1:9

Step-by-step explanation:

that's how you write scale

Answer:

y + 5 = -1 (x - 1)

Step-by-step explanation:

y = -1

y + 5 = -1 (x - 1)

Answer:

[tex]x+4[/tex]

Step-by-step explanation:

This question is essentially asking: [tex]p(x)^2*(x-3)=x^3+5x^2-8x-48[/tex]. Find [tex]p(x)[/tex].

The left hand side can be factored into [tex](x-3)(x+4)^2[/tex] by the rational root theorem and polynomial division.

We can then divide both sides of the equation to get [tex]p(x)^2=(x+4)^2[/tex].

Finally, we take the square root of both sides to obtain [tex]p(x)=x+4[/tex].

So, the answer is [tex]\boxed{x+4}[/tex]

Answer:

x-525000+0

Step-by-step explanation:

Answer:

(3×1)+(4/10) & two and fifty-one hundredths

Step-by-step explanation:

In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.

1. 3.4

[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]

2.2.51

two and fifty-one hundredths

Hope this helps.

Answer is

2, 4, 6, 8

Answer:

[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]

Answer:

201

Step-by-step explanation:

8 x 24 is 192

another 9 chairs are added

192+9

201

Answer:

The first table because the y side is increasing at the same rate . the rate is 4

Answer:

A. 6.6 ft

Step-by-step explanation:

Answer:

[tex]q(x) =-5[/tex]

Step-by-step explanation:

I am solving this using Function Notation.

We are given:

[tex]q(x)= \frac{1}{2}x - 3[/tex]

While we are to find:

[tex]q(x) =-4[/tex]

In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.

So, in this case,

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]

Would become

[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]

Now we can solve.

[tex]\frac{1}{2}(-4) - 3[/tex]

Use PEMDAS; Parenthesis first;

[tex]\frac{1}{2}(-\frac{4}{1})[/tex]

Cross divide: 1 cancels 1, -4 ÷ 2 = -2

Hence, we are left with

[tex](-2) - 3[/tex]

[tex]-5[/tex]

Therefore, the value of x is -5

Step-by-step explanation:

gradient=3/3=1

that is the answer