Which of the following is a solution to the system of nonlinear equations below?

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

Answer:

B, √140

Step-by-step explanation:

√28+√112 = √140

Answer:

[tex]Area = 51\:unit^2[/tex]

Step-by-step explanation:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]

Find the distance between three points.

[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]

[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]

[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]

Best Regards!

Answer:

solution,

A(-5,7)--->(X1,y1)

B(-4,-5)-->(x2,y2)

C(4,5)--->(X3,y3)

Now,

Area of triangle:

[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]

hope this helps...

Good luck on your assignment..

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

Answer:

The coordinate plane where the point is 1 unit to the left and 3.5 units down

Step-by-step explanation:

On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.

Answer:

D

Step-by-step explanation:

Edge 2020

Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

Answer:

The surface area of the sphere is:

[tex]Surface_{sphere}=843.6\,\, in^2[/tex]

Step-by-step explanation:

Recall the two following important formulas:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]

where R is the radius of the sphere.

Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]

Now, knowing the radius, we can estimate the surface of the sphere using the other formula;

[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

Answer:

C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]

Step-by-step explanation:

Well I went to Desmos and graphed them.

look at the image below

Answer:

The correct answer on EDG-2020 is:

c) ≈471 in.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

credit to the first guy

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:

[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]

Where [tex]r[/tex] is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]

The derivative of the volume as a function of radius is:

[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]

Then, the change in volume is expanded:

[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]

If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:

[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]

[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Answer:

~101.5 (area of the shaded area in upper figure)

and

~54.4 (area of the shaded area in lower figure)

Step-by-step explanation:

I attached an image for clarification (please see).

The same approach can be applied to solve these two problems.

As seen in attached image, the shaded area of the 1st figure is the sum of the area of a regular triangle and 3 equal portions.

The area of the regular triangle with side = 12 is:

A1 = side^2 x sqrt(3)/4 = 12^2 x sqrt(3)/4 = 36sqrt(3)

The area of the regular triangle + the area of a portion is:

A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 12^2 x (1/6) = 24pi

=> The area of a porition is:

A3 = A2 - A1 = 24pi - 36sqrt(3)

=> Area of the shade area:

A4 = A1 + 3 x A3 = 36sqrt(3) + 3 x (24pi - 36sqrt(3)) =  ~101.5

**************************

For the second figure, the shaded area could be divided into 6 equal parts, each part is inside a regular triangle and is calculated by:

A = the area of the regular triangle - the area of 2 equal portions (white color).

The area of the regular triangle with side = 6 is:

A1 = side^2 x sqrt(3)/4 = 6^2 x sqrt(3)/4 = 9sqrt(3)

The area of the regular triangle + the area of a portion is:

A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 6^2 x (1/6) = 6pi

=> The area of a porition is:

A3 = A2 - A1 = 6pi - 9sqrt(3)

=> Area of a part (including the regular triangle and excluding 2 equal portions):

A4 = A1 - 2 x A3 = 9sqrt(3) - 2 x (6pi - 9sqrt(3))

=> Area of shaded area:

A5 = 6 x A4 = 6 x [9sqrt(3) - 2 x (6pi - 9sqrt(3)) ] =~54.4

Answer:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.

Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]

Similarly,

Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]

Total value of coins is 3 dollars.

[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.

So, the answer is:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Answer:

the first three options

Step-by-step explanation:

they all have shared points

Answer:

C

Step-by-step explanation:

Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal

Answer:

C

Step-by-step explanation:

correct on edgen i took the test

Answer: C. 90ᴼ

Step-by-step explanation:

This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.

The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.

180 / 3 = 60

Each angle measures 60ᴼ

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43

Answer:

x=2

Step-by-step explanation:

-7+4x+10=15-2x

combine like terms

4x+3=15-2x

add 2x to both sides

6x+3=15

subtract 3 on both sides

6x=12

divide 6 on both sides

x=2

Answer:

No because cuboid a is smaller than cuboid b

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

Answer:

last one

Step-by-step explanation:

All atoms of the same element will always have the same atomic number and since atomic number indicates the amount of protons in its nucleus the answer is "have the same number of protons).

Answer: The last one

Step-by-step explanation:

All atoms have to have the same number of electrons or else they are not classified as that element.

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

Answer:

the following model the membership cost is p=250+42m

Answer:

√208

Step-by-step explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208

Answer:

[tex]\sqrt{208}[/tex]

Step-by-step explanation:

Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.

      [tex]\sqrt{208}[/tex]

          /\

    [tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]

      [tex]4\sqrt{13}[/tex]

As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Answer:

Step-by-step explanation:

I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!

The equation that we want to fill in is this one:

[tex](y-k)^2=4p(x-h)[/tex]

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.

p = 2. Filling in the equation:

[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to

[tex]-y^2=8x[/tex] and now we solve it for x:

[tex]-\frac{1}{8}y^2=x[/tex]