a. 51 b.102 c.112 d.258

Answer:

a.

[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]

b.

[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]

9514 1404 393

Answer:

  A.  264 mi³

Step-by-step explanation:

The area of the right triangular base is ...

  A = 1/2bh

  A = 1/2(6 mi)(8 mi) = 24 mi²

Then the volume of the prism is ...

  V = Bh . . . . . where B is the base area and h is the distance between bases

  V = (24 mi²)(11 mi) = 264 mi³

[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]

if m=1

[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]

if n=1

[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]

Answer:

a. Smart Dot Company: C = 12 + 0.5·t

Communications Plus: C = 2.5·t

b. Please find attached the required tables created using MS Excel cell function tool

c. Please find attached the graph of both relationship created on the same grid with

Step-by-step explanation:

a. The monthly cost of the Smart Dot Company = $12

The hourly cost for internet use on Smart Dot Company = $0.50

The hourly cost of using the Communications Plus = $2.50

Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;

Smart Dot Company: C = 12 + 0.5·t

Communication Plus: C = 2.5·t

b. The table of values are created using MS Excel as follows;

[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex]    [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]

c. Please find attached the graph of both relationship created on the same grid with MS Excel

Welp....there's your answer

Answer:

B 48

Step-by-step explanation:

Ac=2AE, because AE=r, Ac=d, d=2r

Ac=2*5=10

The angle ADC is right, because it leans on the diameter AC,

find the leg DC, use the Pythagorus theorem

DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8

S= 6*8=48

Answer:

165 ver una pelicula de terror, 137.5 (138) ver una novela, y 247 ver una pelicula de ciencia ficcion.

Step-by-step explanation:

0.3 x 550 = 165

0.25 x 550 = 137.5 --> 138

165 + 138 = 303

550 - 303 = 247

Answer:

I have to agree

it's A.

but I'm also thinking it's D.

Answer:

{2,4,5,6,8,10,15,20}

Answer:

{ 2,4,5,6,8,10,15,20}

Step-by-step explanation:

D ∪ E

This means the union of the two sets or what is in both circles with no duplicates

{ 2,4,5,6,8,10,15,20}

Answer:

b) 7.89*10^4

c) 3.15*10^3

Step-by-step explanation:

2-42)

the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.

b) 0.789*10^5

c) 31.5*10^2

b) 0.789*10^5

in order to make 0.789 greater than 1, I would just multiply it by 10. shown below

=0.789*10*10*10*10*10

=7.89*10*10*10*10

=7.89*10^4

c) 31.5*10^2

same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent

=31.5*10*10

=3.15*10*10*10

=3.15*10^3

Answer:

Step-by-step explanation:

I forgot

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

Answer:

63/8

Step-by-step explanation:

3 1/2 = 7/2

4 1/3 = 13/3

[tex] \frac{ \frac{7}{2} + 7 }{ \frac{13}{3} - 3} [/tex]

[tex] = \frac{ \frac{21}{7} }{ \frac{4}{3} } [/tex]

[tex] = \frac{63}{8} [/tex]

Answer:

10/1

Step-by-step explanation:

5/6÷1/12

5/6×12/1 (do a inverse of 1 upon 12)

10/1

cancel 12 by 6

Answer:

A. x/5 - 6 > -4

Step-by-step explanation:

The graph shows that x > 10. We need to solve each of the inequalities. After we do, we see that A is the answer.

A. x/5 - 6 > -4

x/5 > 2

x > 10

Answer:

20,160 pounds

Step-by-step explanation:

bricks in each row * number of rows * pound of each brick

Answer:

20160 lbs

Step-by-step explanation:

To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160

Answer:

c. 256π/3 units^3

Step-by-step explanation:

Recall that the volume V of a sphere with radius r is given as

V = 4 /3πr3

Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume

V = 4/3 * π * 4^3

= 4/3 * π * 64

= 4*64/3 * π

= 256π/3 units^3

Option c is right

HOPE IT HELPS

PLEASE MARK BRAINLIEST

The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.

A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).

The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.

Number of students who own pets: 20

Total number of students in the class: 32

Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

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Answer:

Step-by-step explanation:

Relations are only functions if they do not share any x values at all! The 2 graphs there that do not have any of the same x values are graphs A and D. Notice that on graph B, there are several y values that share the x value of 2; on graph C, there are several y values that share the x value of 2.

Answer:

A and D only

Step-by-step explanation:

A function is a relation where each input has its own output ( each x values has its own corresponding y value ) If an input has more than one output than the relation is not a function.

We can tell if a graph shows a function or not by using the vertical line test. If you draw vertical lines on the graph and more than one point is on the vertical line drawn then the graph does not show a function.

For graph B if you draw a vertical line at x = -2 more than 1 point will be on the line meaning that the graph does not show a function.

For Graph C if you draw a vertical line at x = 2 more than 1 point will be on the line meaning that Graph C also does not show a function.

For Graphs A and D you can draw a vertical line anywhere on the graph and no more than 1 point will be on the line therefore Graphs A and D show functions.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

The following relationships usually have a direct or inverse relationship, please indicate.

Answer:

30*sqrt(2)

Step-by-step explanation:

5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)

Answer:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]

Now constructing equations

[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]

[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]

[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]

Adding eq(1) and (2)

[tex]\\ \sf\longmapsto 4a=8[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto a=2[/tex]

Put the value in eq(2)

[tex]\\ \sf\longmapsto a-b=5[/tex]

[tex]\\ \sf\longmapsto b=a-5[/tex]

[tex]\\ \sf\longmapsto b=2-5[/tex]

[tex]\\ \bf\longmapsto b=-3[/tex]

put the values in eq(4)

[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]

[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]

[tex]\\ \sf\longmapsto d-1=2d-1[/tex]

[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]

[tex]\\ \sf\longmapsto -d=0[/tex]

[tex]\\ \bf\longmapsto d=0[/tex]

Put the value in eq(3)

[tex]\\ \sf\longmapsto 3c-d=6[/tex]

[tex]\\ \sf\longmapsto 3c-0=6[/tex]

[tex]\\ \sf\longmapsto 3c=6+0[/tex]

[tex]\\ \sf\longmapsto 3c=6[/tex]

[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]

[tex]\\ \sf\longmapsto c=2[/tex]

Answer:

its I, II and III.

Step-by-step explanation:

r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.

Answer:

Step-by-step explanation:

If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).

35/18 = 1.944444

63/10 = 6.3

They are not similar because the simplified ratios are not the same.

Answer:

4.4

Step-by-step explanation:

Answer:

t = 4.4 seconds

Step-by-step explanation:

It hits the ground when the height is equal to zero

This occurs just before 4.5 seconds

t = 4.4 seconds

Answer:

D

Step-by-step explanation:

A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test

Answer:

its c 120in

Step-by-step explanation:

The perimeter of the triangle is,

⇒ 138 in.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The hypotenuse of a right triangle is 52 in.

And, One leg of the triangle is 8 in. more than twice the length of the other.

Hence, We get;

Lengths of legs are,

⇒ x

And, ⇒ 8 + 2x

Hence, We can formulate;

⇒ 52² = x² + (2x + 8)²

⇒ 2704 = x² + 4x² + 64 + 24x

⇒ 5x² + 24x - 2640 = 0

⇒ x = 20 and x = - 132/5

For perimeter;

Take x = 20

Hence, The perimeter of the triangle is,

⇒ 52 + x + (2x + 8)

⇒ 52 + 20 + (2 × 20 + 8)

⇒ 52 + 20 + 48

⇒ 138 in.

Thus, The perimeter of the triangle is,

⇒ 138 in.

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