Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8

Answer:

Step-by-step explanation:

From the given information:

We can see that:

[tex]x + 2y + 3z = 0 --- (1) \\ \\ 2x + 4y + 6z = 0 --- (2)[/tex]

From equation (1), if we multiply it by 2, we will get what we have in equation (2).

It implies that,

x + 2y + 3z = 0    ⇔   2x + 4y + 6z = 0

And, W satisfies the equation x + 2y + 3z = 0

i.e.

W = {(x,y,z) ∈ R³║x+2y+3z = 0}

Now, to determine the distance through the plane W and point is;

[tex]y = [1 \ 1 \ 1]^T[/tex]

Here, the normal vector [tex]n = [1\ 2\ 3]^T[/tex] is related to the plane x + 2y + 3z = 0

Suppose θ is the angle between the plane W and the point [tex]y = [1 \ 1 \ 1]^T[/tex], then the distance is can be expressed as:

[tex]||y|cos \theta| = \dfrac{n*y}{|n|}[/tex]

[tex]||y|cos \theta| = \dfrac{[1 \ 2\ 3 ]^T [1 \ 1 \ 1] ^T}{\sqrt{1^2+2^2+3^2}}[/tex]

[tex]||y|cos \theta| = \dfrac{[1+ 2+ 3 ]}{\sqrt{1+4+9}}[/tex]

[tex]||y|cos \theta| = \dfrac{6}{\sqrt{14}}[/tex]

[tex]||y|cos \theta| = 3\sqrt{\dfrac{2}{7}}[/tex]

Answer:

Very hard question i don't help you

Answer:

The solution is incorrect

Step-by-step explanation:

5x = 95

We need to do the opposite

We are multiplying x by 5 so we need to divide by 5

5x/5 = 95/5

x = 19

Corinne's solution is incorrect.

The mistake occurred when she subtracted 5 from both sides of the equation.

We have,

To solve the equation correctly, we need to isolate the variable x. Here are the correct steps:

Starting with the equation:

5x = 95

To isolate x, we divide both sides of the equation by 5:

(5x) / 5 = 95 / 5

x = 19

Thus,

The correct solution to the equation is x = 19.

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Answer:

b. 01285 esa es, espero este buena y que te ayude

Answer:

C

Step-by-step explanation:

On a number cube from 1 to 6, there are only two numbers available that are equal to or greater than 5: 5 and 6. Out of the six possible options, only two options could meet these conditions. Therefore, the probability is 2/6. However, this can be further simplified as both 2 and 6 can be divided by two, which would equal 1/3.

Answer:

28.2 %

Step-by-step explanation:

Increase = 17.95 - 14 = $3.95

%age increase = 100 * 3.95 / 14

= 28.214

Answer:

5

Step-by-step explanation:

the only point in the chart, which has x=0 as coordinate, is the point up there at y=5.

and that is automatically the result. there is not anything else to it.

Answer:

4

Step-by-step explanation:

Add up all the frequencies given

5+6+5+6+5+8+4+4+3 = 46

The total frequencies with the missing data value should add up to 50

50 = 46 + x

x = 50 - 46

x = 4

Answer:

4

Step-by-step explanation:

The nine given values add to 5+6+5+6+5+8+4+4+3=46, so the missing frequency is 50−46=4.

Answer:

8 servings

Step-by-step explanation:

Take the total ounces and divide by the number of ounces per serving

42/5 =8.4

Round down since we don't want to short someone on their soup

8

Answer:

A. Increase speed to approximately 7.1 mph so that you cover the field more.

Step-by-step explanation:

The soil samples for the next field require more fertilizer coverage therefore there is need for more field coverage by the equipment. The speed of the tractor will be increase to 7.1 mph so that greater area can be covered in lesser time.

1. Move terms to the left side

2.Subtract the numbers

3.Use the quadratic formula

4.Simplify

5.Separate the equations

6.Solve

Rearrange and isolate the variable to find each solution.

Solution,

Solution

x=5±√39

9514 1404 393

Answer:

  [tex]\displaystyle\sqrt{x+7}-\log{(x+2)}[/tex]

Step-by-step explanation:

It's pretty straightforward. You want ...

  f(x) - g(x)

Substituting the given function definitions gives ...

  [tex]\displaystyle\boxed{\sqrt{x+7}-\log{(x+2)}}[/tex]

Answer:

The answer is C. -82 + 26i

(8+6i)(-5+7i) = -82+26i

Answer:

Step-by-step explanation:

This is a super simple problem. I'm going to walk through it as I do when I teach this to my students for the first time.

We are given a rectangle. We are told to find how fast the area is changing under certain conditions. That tells us that the main equation for this problem is the area formula for a rectangle which is

[tex]A=lw[/tex]. If we are looking for the rate at which the rectangle's area is changing, that means that we need to find the derivative of the area implicitly. This derivative is found using the product rule because the length is being multiplied by the width:

[tex]\frac{dA}{dt}=l\frac{dw}{dt}+w\frac{dl}{dt}[/tex] . If our unknown is the rate at which the area is changing, [tex]\frac{dA}{dt}[/tex], that means that everything else has to have a value (because you can only have one unknown in an equation). Here's what we're told:

The length of the rectangle is increasing at a rate of 7 cm/s, so that satisfies our [tex]\frac{dl}{dt}[/tex];

the width is increasing at a rate of 6 cm/s, so that satisfies our [tex]\frac{dw}{dt}[/tex];

and all of this is going on when the length = 12 and the width = 8. It looks like everything will have a value except for our unknown. Filling in:

[tex]\frac{dA}{dt}=12(6)+8(7)[/tex] and

[tex]\frac{dA}{dt}=72+56[/tex] so

[tex]\frac{dA}{dt}=128\frac{cm^2}{s}[/tex]

Answer:

below

Step-by-step explanation:

hope it is well understood?

The slope is 4 and y- intercept is 13

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.

A slope exists Numerical calculation of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment stands as the proportion of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

Given

Slope

y = 4x-3

dy/dx = 4

slope =  4

intercepts y = 4(4) 3

y = 16-3

y = 13

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Answer:

D. 7

Step-by-step explanation:

Apply the secant-scant product theorem. Thus, based on the theorem, we have the following equation:

6(4 + 6) = 5(x + 5)

6(10) = 5x + 25

60 = 5x + 25

Subtract 30 from each side

60 - 25 = 5x + 25 - 30

35 = 5x

Divide both sides by 5

35/5 = 5x/5

7 = x

x = 7

Answer:

1/2 pounds or 0.5 pounds, 3/6 = 1/2 :)

hope i helped

Step-by-step explanation:

Answer:

0.5 pound/share

Step-by-step explanation:

 Divide 3 pounds by 6 shares, obtaining 0.5 pound/share

Answer: 10

Step-by-step explanation:

10

Answer:

4

Step-by-step explanation:

AD=4+8=12=DE thus angle EAD= angle AED=90÷2=45

angle ACB=90-45=45 thus CB=AB=4

Answer:

incorrect answer above

Answer:

10.6

Step-by-step explanation:

A simple sketch of the question would give a right angled triangle. So that we can easily apply the Pythagoras theorem to determine the length of the cable required.

Let the length of the cable required be represented by x.

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]7^{2}[/tex]

   = 64 + 49

[tex]x^{2}[/tex] = 113

x = [tex]\sqrt{113}[/tex]

  = 10.63

x = 10.6

The length of the cable required is 10.6 in feet.

The length of the cable needed to support the tenth wall is approximately 10.6 ft.

The situation forms a right angle triangle.

Right angle triangle has one of it side as 90 degrees.

Therefore,

The tent wall is the opposite side of the triangle.

The table feet from the base of the tent is the adjacent side of the triangle.

Using Pythagoras's theorem the cable needed can be found.

Therefore,

c² = 64 + 49

c = √113

c = 10.6301458127

length of the cable ≈ 10.6 feet

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9514 1404 393

Answer:

  (b)  BC = B"C"/3

Step-by-step explanation:

Choices A, C, D are all different ways of expressing the same relationship, and they are all incorrect.

B"C" is segment BC after dilation by a factor of 3, so it is 3 times as long as BC. That is, BC is 1/3 the length of B"C", choice B.

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Have a nice day

Answer:

Answer:

18

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+3x+6x = 180

10x = 180

Divide by 10

10x/10 =180/10

x = 18

Answer:

UW  = 6.3

Step-by-step explanation:

Given that,

VU = 7

∠U = 25°

We need to find the value of UW. It can be solved using trigonometry. So,

[tex]\cos\theta=\dfrac{B}{H}[/tex]

Where

B is base and H is hypotenuse

So,

[tex]\cos(25)=\dfrac{UW}{7}\\\\UW=7\times\cos(25)\\\\UW=6.3[/tex]

So, the value of UW is 6.3.

Answer:

1.5 cubic metres

Step-by-step explanation:

Given that in a concrete mix, cement makes up 1 part, sand makes up 2 parts and gravel makes up 3 parts.

The total number of parts = 1 + 2 + 3 = 6 parts.

The amount of marvel present the concrete mix = amount of marvel / total mix

= 3 parts / 6 parts = 1/2

Since 3 cubic metres of concrete is enough for the path, hence the amount of gravel needed is:

Amount of gravel = 1/2 * 3 cubic metres of concrete = 1.5 cubic metres

Answer:

Statement A is correct

Step-by-step explanation:

Statement A is correct:  Model A1 (0.25) is more prefered than Model C3 (0.15)

Answer:

g(x)=x-3

Problem:

If f(x+3)=x+6 find inverse of function f(x).

Step-by-step explanation:

Let u=x+3, then x=u-3.

Make this substitution into our given:

f(u)=(u-3)+6

Simplify:

f(u)=u+(-3+6)

f(u)=u+3

Now let's find the inverse of f(u)...

Or if you prefer rename the variable...

f(x)=x+3

Now, we are going to solve y=x+3 for x.

Subtracting 3 on both sides gives: y-3=x.

Interchange x and y: x-3=y.

So the inverse of f(x)=x+3 is g(x)=x-3.

Answer:

The answer is g(x)=x-3

Step-by-step explanation:

If f(x+3)=x+6 find inverse of function f(x).

Let u=x+3, then x=u-3.

Make this substitution into our given:

f(u)=(u-3)+6

Simplify:

f(u)=u+(-3+6)

f(u)=u+3

Now let's find the inverse of f(u)...

Or if you prefer rename the variable...

f(x)=x+3

Now, we are going to solve y=x+3 for x.

Subtracting 3 on both sides gives: y-3=x.

Interchange x and y: x-3=y.

So the inverse of f(x)=x+3 is g(x)=x-3.

Answer:

One of these

Step-by-step explanation: