Solve for k.
k/4+ 3= 14

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

Step-by-step explanation:

[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]

Answer:

72/5

Step-by-step explanation:

18/5 x4 = t/4 x4

(18x4)/5 = t

t = 72/5

Answer:

12 multiple choice and 8 True/False

Step-by-step explanation:

To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:

x + y = 20

2x + 7y = 100

We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.

-2(x + y = 20)

-2x - 2y = -40

Now add them together

5y = 60

Solve for y.

y = 12

This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.

Hope this helps and have a great day! :D

Answer:

8 True/False and 12 Multiple Choice

Step-by-step explanation:

x+y=20  ...1

2x+7y=100   ...2

Now you can multiply 2 on 1

2x+2y=40

2x+7y=100

Subtract:

-5y=-60

Divide -5 on both sides:

y=12

Substitute y with 12

x+12=20

Subtract 12 on both sides:

x=8

So there are 8 True/False and 12 Multiple Choice

Hope this Helps!

Answer helped by: azailiaskoglund

Answer:

3,888 ft³

Step-by-step explanation:

Multiply the dimensions together.

[tex](36)(18)(6)=3888[/tex]

Therefore, the box is 3,888 ft³.

The volume of the box in feet given its dimensions is 2 1/4 feet³.

The volume of the box can be determined by multiplying the length, width and height of the box with each other.

Before the volume can be determined, the dimensions have to be converted from inches to feet.

1 inch - 1/12 feet

Volume = 3 x 3/2 x 1/2 = 9/4 = 2 1/4 feet³

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

#SPJ2

Answer:

D

Step-by-step explanation:

Cosine is adjacent / hypotenuse, so 12/13

Answer:

D: [tex]\frac{3}{(6-6)}[/tex]

Step-by-step explanation:

Option A equates to [tex]-\frac{0}{2}=0[/tex]

Option B equates to [tex]\frac{(-4+0)}{8}=\frac{-4}{8}=-\frac{1}{2}[/tex]

Option C equates to [tex]0\div11 =0[/tex]

Option D equates to [tex]\frac{3}{(6-6)}=\frac{3}{0}[/tex] which cannot be defined as division by 0 is impossible

Answer:

width is 4

height is 20

Step-by-step explanation:

Area=½ width × height

let the width be x

height will be 6x - 4

40 = ½ × x × (6x - 4)

40 = 2/2 × 3x² - 2x

40 = 3x² - 2x

3x² - 2x - 40 = 0

3x² -12x + 10x - 40 = 0

3x(x-4) + 10(x-4) = 0

(3x + 10)(x - 4) = 0

x = -10/3 or 4

dimension cannot be negative

x is 4

6x-4= 6(4) - 4

24 - 4

20

Answer:

Step-by-step explanation:

1. Pythagorean theorem: a^2+b^2=c^2

Note that the hypotenuse is 11 (for the second right triangle).

Find the length of the dotted line by doing 7^2+b^2=11^2

49+b^2=121, b=[tex]\sqrt{72\\}[/tex].

Now you can the area of the second right triangle: ([tex]\sqrt{72\\}[/tex](7))/2=29.7.

Find the length of the first right triangle:

Note that 9 is the hypotenuse; ([tex]\sqrt{72\\}[/tex])^2+b^2=9^2

=72+b^2=81

b=3.

([tex]\sqrt{72}[/tex])(3))/2=12.7

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

Answer:

x < - 2

Step-by-step explanation:

5x + 12 < 2 ( subtract 12 from both sides )

5x < - 10 ( divide both sides by 5 )

x < - 2

Answer:

ang hirap naman plss answee

Answer:

w [tex]\leq[/tex] 50

Step-by-step explanation:

Answer:

None of the suggested answers

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]

Answer:

[tex]y-3=7(x-6)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of 7 and passes through the point (6,3).

We want to write the equation of this line.

There are three ways to do it:

As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.

As we are already given both the point and the slope, we can plug them both into the equation.

Starting with the slope, substitute 7 for m.

[tex]y-y_1=7(x-x_1)[/tex]

Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].

[tex]y-3=7(x-6)[/tex]

Answer:

Step-by-step explanation:

3| -2 =6

4| -5| =20

= -6+20

Simplify -

14

Thank You! I hope I could make your day just a little bit better!

Answer:

its 2 ounces. if you look it up it would tell you

Answer:

Option D

Step-by-step explanation:

The expression is a=2b-3

Answer:

The following equation has no / zero solution.

Step-by-step explanation:

The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.

Answer:

So it would be 4, 11, 20

Step-by-step explanation:

[tex]11^1 = 11[/tex]

[tex]2^2 * 5 = 20[/tex]

[tex]8^2-60 =4[/tex]

Answer:

The change in temperature is -13°F.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Therefore, -13°F is the change.

There's something very off about this question.

In spherical coordinates,

x² + y² + z² = ρ²

so that

f(x, y, z) = 6 - (x² + y² + z²)

transforms to

g(ρ, θ, φ) = 6 - ρ²

When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that

dV = dx dy dz = ρ² sin(φ) dρ dθ dφ

Since we integrate over a sphere with radius 4, the domain of integration is the set

E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}

so that the integral is

[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

Computing the integral is simple enough.

[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]

[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]

[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]

but the mass can't be negative...

Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by

[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]

for some positive number k is

[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]

so in order for the mass to be positive, we must have

5k - 3r² ≥ 0   ⇒   k ≥ 3r²/5

In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

2:1 OR as a fraction, 2/1

Step-by-step explanation:

We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w

Width = w

Length = 2w

Ratio of Length to Width is

2w:w or as a fraction 2w/w

This can be simplified to

2:1 or as a fraction 2/1

Its 12 for answer

Step-by-step explanation:

2×6=12

Answer:

-22, -6, 4, 9, 19

Step-by-step explanation:

hope this helps

= 3x+y=-2

= Linear equations with two variables have multiple infinite solutions.

= Assuming x=0

then y=-2

= Assuming x=1

then y=-2-3

= y=-5

= Assuming x=2

then y=-2-6

= y=-8

Writing them as coordinate points -

(0,-2),(1,-5),(2,-8)...and so on.

__________________________.

= y=2x+3

Assuming x=0

then y=3

Assuming x=1

then y=2+3

= y=5

Assuming x=2

then y=4+3

= y=7

Writing them as coordinate points -

(0,3),(1,5),(2,7)...and so on.

Answer:

Point Form:

( − 1 , 1 )

Equation Form:

x = − 1 , y = 1

Step-by-step explanation: there you go

Answer:

y = 3x + 4

x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.

(i think this is right im not sure tho)

Answer:

3x+1

Step-by-step explanation:

3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y

Answer:

Step-by-step explanation:

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

so

45 * 6 =

2700

Answer:

8 short sleeve shirts

Step-by-step explanation:

Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.