A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number

Answer:

the sum of the number is 16 and it is al least 20 points

Answer:

x=5/2 or 2.5

Step-by-step explanation:

See the image for solution

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Answer:

2.5 or 5/2

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.

that also means that they are equal.

and so,

8x + 15 = 4x + 25

4x = 10

x = 10/4 = 5/2 = 2.5

Answer:

Angle e = 35 degrees

Angle f = 180-35-109 = 36 degrees

Angle d = 109 degrees

Step-by-step explanation:

Answer:

Van: 36 mph.

Plane: 102 mph.

Step-by-step explanation:

x = speed of van

y = common time value

(3x - 6) * y = 204 // plane

x * y = 72 // van

3xy - 6y = 204 // plane simplified

We can now substitute 72 for xy in the equation above.

3*72 - 6y = 204 --> 216 - 6y = 204

We now subtract 216 from both sides.

-6y = -12

We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.

y = 2

If x*y = 72, then x = 72/y = 72/2 = 36.

Thus, the speed of the van is 36 mph.

We can find the speed of the plane by using the equation from earlier, 3x - 6.

3x - 6 = 3*36 - 6 = 108 - 6 = 102.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

(Diagram attached)

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the full segment of half of the circle is diameter and half segment us called radius

The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Using this formula

2021 preferred shareholders(per year)=Per dividend * Dividend rate

Let plug in the formula

2021 preferred shareholders(per year)=[(7,000*$100)*6%]

2021 preferred shareholders(per year)=($700,000*6%)*2

2021 preferred shareholders(per year)=42,000*2

2021 preferred shareholders(per year)=84,000

Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

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Angle ∠COD and angle ∠HOG are vertically opposite angles. Then the correct option is C.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

The diagram is given below.

Angle ∠COD and angle ∠HOG are vertically opposite angles.

Hence, Angle ∠COD and angle ∠HOG are congruent.

Then the correct option is C.

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Answer:

Angle 1 is 129

Step-by-step explanation:

You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.

Answer:

(-0.5, 1)- the midpoint, the distance is sqrt157

Step-by-step explanation:

The midpont is O

x0= (-6+5)/2= -0.5

yo= (4-2)/2=1

(-0.5, 1)

The distance is sqrt ((5-(-6))^2+(-2-4)^2)=sqrt 157

By the divergence theorem, the flux of [tex]\vec F[/tex] across S is equal to the volume integral of [tex]\mathrm{div}(\vec F)[/tex] over the interior of S.

We have

[tex]\vec F(x,y,z) = (x^3+y^3)\,\vec\imath + (y^3+z^3)\,\vec\jmath + (z^3+x^3)\,\vec k \\\\ \implies \mathrm{div}(\vec F) = \dfrac{\partial(x^3+y^3)}{\partial x} + \dfrac{\partial(y^3+z^3)}{\partial y} + \dfrac{\partial(z^3+x^3)}{\partial z} = 3(x^2+y^2+z^2)[/tex]

so that

[tex]\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \iiint_T \mathrm{div}(\vec F)\,\mathrm dV = 3 \iiint\limits_{x^2+y^2+z^2\le3} (x^2+y^2+z^2)\,\mathrm dx\,\mathrm dy\,\mathrm dz[/tex]

To compute the volume integral, convert to spherical coordinates with

x = ρ cos(θ) sin(ϕ)

y = ρ sin(θ) sin(ϕ)

z = ρ cos(ϕ)

so that

ρ ² = x ² + y ² + z ²

dx dy dz = ρ ² sin(ϕ) dρ dϕ dθ

The region T is the interior of the sphere S, given by the set

[tex]T = \left\{(\rho,\theta,\phi) \mid 0\le\rho\le3 \text{ and } 0\le\phi\le\pi \text{ and }0\le \theta\le2\pi\right\}[/tex]

So we have

[tex]\displaystyle 3 \int_0^{2\pi} \int_0^\pi \int_0^3 \rho^4 \sin(\phi) \,\mathrm d\rho \,\mathrm d\phi \,\mathrm d\theta \\\\ = 6\pi \left(\int_0^\pi \sin(\phi)\,\mathrm d\phi\right) \left(\int_0^3 \rho^4 \,\mathrm d\rho\right) = \boxed{\frac{2916\pi}5}[/tex]

The required surface integral S, and flux across F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]

Given that,

Function;[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},[/tex]

S is the sphere with center the origin and radius 3.

We have to determine,

Use the Divergence Theorem to calculate the surface integral S, F.dS that is, calculate the flux of F across S.

According to the question,

By the divergence theorem, the flux of [tex]\vec{F}[/tex]across S is equal to the volume integral of  [tex]div(\vec{f})[/tex] over the interior of S.

S is the sphere with center the origin and radius 3.

Therefore,

[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},\\\\= div\vec({F}) = \dfrac{d(x^3+y^3)}{dx} + \dfrac{d(y^3+z^3)}{dx} + \dfrac{d(z^3+x^3)}{dx} = 3(x^{2} + y^{2} + z^{2} )\\\\Then,\\\\\int \int_S \vec{F}(x, y, z) . \vec{ds} = \int \int \int _T div\vec{F}dV= 3 \int \int\int (x^{2} + y^{2} + z^{2} )dx.dy.dz[/tex]

To compute the volume integral, convert to spherical co-ordinate,

[tex]x = p\ cos\theta\ sin\phi\\\\y = p \ sin\theta \ sin\phi\\\\z = p\ cos\phi\\\\[/tex]

Therefore,

[tex]p^2 = x^{2} + y^{2} +z^{2} \\\\dx.dy.dz = x^{2} \ sin\phi \ dp\ d\phi \ d\theta[/tex]

The region T is the interior of the sphere S is given by the set,

[tex]T = {[ p,\theta,\phi}] | \ (0\leq p\leq 3 \ and \ \ 0\leq \phi \leq \pi \ and \ 0\leq 0\leq 2\pi )[/tex]

Then,

[tex]= 3 \int^2_0 \int^\pi _0 \int^3_0 p^4. sin(\phi). dp.d\phi .d\theta\\\\= 6\pi ( \int^\pi _0 sin(\phi).d\phi) (\int^3_0 p^4dp\\\\= \dfrac{2916\pi }{5}[/tex]

Hence, The required surface integral S, F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]

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Answer:

Step-by-step explanation:

No because the sum of the two shorter legs does not equal the square of the hypotenuse.

3^2 =  9

6^2 =36

8^2 =64

9 and 36 do not equal 64

Answer:

19

Step-by-step explanation:

There are 38 points total, each field goal is 2 points.

If we do 38/2 we get 19.

Image has work...

[tex]\frac{38}{2}[/tex]

Answer is the third graph it was just an error..

Answer:

If the diagram is 8 ovals with 4 squares each, and we know that this is a division,

then we have that an unknown number X is such that:

X/4 = 8 this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.

Then we can solve the equation for X. X/4 = 8

We multiply each side of the equality by 4 X= 4*8 = 32

then the diagram represents the division: 32/4 = 8 or " 32 divided by 4 = 8"

Answer:

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

9514 1404 393

Answer:

  (a)  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Step-by-step explanation:

You may recall that we use a multiplier to signify repeated addition:

  x + x + x = 3x

In a similar way, we use an exponent to signify repeated multiplication:

  10 × 10 × 10 = 10³

__

The exponent 9 in 10⁹ means the factor 10 appears 9 times in the product:

  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁹

Answer:

a  10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Step-by-step explanation:

Answer:

mistaken,

incorrect,

wrong,

bad,

untruthful

Answer:

Extraneous solution

Step-by-step explanation:

Extraneous solutions are solutions that come from solving a problem but are ultimately not a valid solution.

Answer:

x=5

JK = 40 units

Step-by-step explanation:

JM=MK since the have the little red line which shows they are equal

7x+5 = 8x

Subtract 7x from each side

7x+5 -7x= 8x-7x

5 = x

JK = 7x+5 = 7(5)+5 = 35+5 = 40

Answer:

x^3 - y^3

Step-by-step explanation:

The equation of the graph after translation is y'' = √ ( x + 3 ) - 4

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the equation of graph be represented as y

Now , the value of y is

y = √x

And , after a translation of graph by 3 units to the left , we get

y' = √ ( x + 3 )

Now , the translation of 4 units down is given by

y'' = y' - 4

y'' = √ ( x + 3 ) - 4

Hence , the translated equation is y'' = √ ( x + 3 ) - 4

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This distance would be written as a whole number as 93,000,000.

Answer:

4 hours

Step-by-step explanation:

After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles.  232 + 256 = 488 miles.

Answer:

x=140⁰

Step-by-step explanation:

80+50=130

180-130=50

50+30=80

360-80=

280/2

=140

9514 1404 393

Answer:

  m = 3.97

Step-by-step explanation:

Your equation is written as a "one-step" linear equation.

  m -2 = 1.97

It is solved by adding 2 to both sides of the equation. (This is the "one step.")

  m -2 +2 = 1.97 +2

Simplifying gives ...

  m = 3.97

_____

If this is supposed to be an equation where -2 is a exponent, then the rules related to exponents apply. In plain text, this would be written m^-2 = 1.97.

  [tex]m^{-2}=1.97\\\\\dfrac{1}{m^2}=1.97\qquad\text{write using a positive exponent}\\\\\dfrac{1}{1.97}=m^2\qquad\text{multiply by $m^2/1.97$}\\\\\sqrt{\dfrac{1}{1.97}}=m\approx0.71247050\qquad\text{take the square root}[/tex]

Answer:

11 degrees

Step-by-step explanation:

13-2=11.

Answer:

[tex]\displaystyle QR = 12[/tex]

Step-by-step explanation:

First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).

We are given that PS = 18 and PR = 15, and we want to determine QR.

PS is the sum of PR and RS:

[tex]\displaystyle PS = PR + RS[/tex]

Substitute:

[tex]\displaystyle (18) = (15) + RS[/tex]

Solve for RS

[tex]\displaystyle RS = 3[/tex]

Since RS ≅ PQ:

[tex]\displaystyle RS = PQ = 3[/tex]

PS is also the sum of PQ, QR, and RS. Hence:

[tex]PS = PQ + QR + RS[/tex]

Since PS = 18 and RS = PQ = 3:

[tex](18) = (3) + QR + (3)[/tex]

Solve for QR:

[tex]QR = 12[/tex]

In conclusion, QR measures 12 units.

Horse = x = 1 head and 4 feet

Chicken =y = 1 head and 2 feet

Horse + chicken = x + y = 43 ( total heads)

Horse = 43 - y

4x + 2y = 122

4(43-y) + 2y = 122

Simplify:

172-4y + 2y = 122

Combine like terms

172-2y = 122

Subtract 172 from both sides

-2y = -50

Divide both sides by-2

Y = 25

X + y = 43

X + 25 = 43

X = 18

There are 18 horses and 25 chickens.

Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have

P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554