a) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=​

Answer:

Select all the correct answers.

Which three equations are equivalent to 1 +3|x-21 = 16?

O

X-2 = -5 or x - 2 = 5

X=-3 or x = 7

O

|x+2) = 5

0

x+2 = -5 or x+ 2 = 5

0

O

x=3 or x= -7

O

| x-2= 5

Answer:

Domain:(−∞,∞),{x|x∈R}

Range:(−∞,∞),{y|y∈R}

Answer:

y= [tex]\frac{3}{2}[/tex]x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

y = 3/2 - 1

Step-by-step explanation:

First let's take two coordinates in the line.

( 2 , 2 )     ( 0 , -1)

You can use y = m x + c to find the equation of the line.

Here,

m → slope

c  → y - intercept

( 2 , 2 )                ( 0 , -1)

 ↑  ↑                    ↑  ↑

( x1 , y1 )            ( x2 , y2 )

First let's find the slope of the line.

m = ( y1 - y2) / ( x1 - x2)

m = ( 2 - (-1) ) / (2 - 0 )

m = ( 2 + 1 ) / 2

m = 3 / 2

Now let's find the y - intercept of the line.

For that, let's use ( 0 , -1 ) coordinate

y = m x + c

y = 3/2 × 0 - 1

y = 0 - 1

y = ( - 1 )

Therefore, the equation of the line is,

y = 3/2x - 1

Hope this helps you :-)

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

Answer:

Step-by-step explanation:

divide 20 by four

20/4=5/1

now 10 and 15 can both be divided by 5 since 5 is the greatest common factor

10/15=2/3

Answer:

5 for the first 2/3 for the second

Step-by-step explanation:

just divide the numerator by what ever makes the denominator 1

4/4=1 so divide 20 by 4 which is 5

15/15 = 1 so 10/15 is 2/3

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

Hence, all of the options are correct.

To learn more about rows and columns, see here https://brainly.com/question/13196178

Answer:

  7 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

The curved portion of a semicircle will be ...

  C/2 = (2πr)/2 = πr

The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...

  P = πr +2r = r(π+2)

Then the radius is ...

  r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft

The radius of the patio is 7 ft.

Answer:

possible 0.3 or 3.3

Step-by-step explanation:

[tex]3 = 5 + 5 \\ 3 = 10 \\ 3 \div 10 = 0.3 \\ x = 0.3[/tex]

I THINK this is the answer or 3.3 (10÷3)

Answer:

1. 0.25

2. 105-40

3. 0.375

4. 0.5

5. 0.4 same as the number 6

Step-by-step explanation:

i hope it helpful i guess?

Answer:

Nick will have to pay $63.56 for the shoes.

Step-by-step explanation:

f the original cost of the shoes is $56.75 and the markup is 12% greater than the original price, the final price would be $63.56.

$56.75 • 0.12 = $6.81

$56.75 + $6.81 = $63.56

$56.75 + 12% = $63.56

Answer:

Nick will have to pay $63.56 for the shoes.

Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?

Step-by-step explanation:

please change your question.

Answer:

∠ B ≅ ∠ E

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

ABC ≅ DEF

The corresponding angles are B and E

Answer:

The answer is [tex]\angle B\cong \angle E[/tex]

Step-by-step explanation:

Given that

[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]

Hence corresponding angles are congruent

[tex]\angle B\cong \angle E[/tex]

Answer:

c

Step-by-step explanation:

Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.

Multiply each one together:

sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)

sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)

4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)

4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)

Then simplify:

sqrt(54x^2) = 3x sqrt(6x)

x sqrt(30x^7) = -x^4 sqrt(30x)

4 sqrt(72x^4) = 24x^2 sqrt(2)

-4x sqrt(40x^8) = -8x^5 sqrt(10)

Answer:

1) a. Rs 440.

1) b. Rs 795.

2) a.Rs 145.

2) b. Rs 180.

Step-by-step explanation:

1) a.

Given,

Marked Price = Rs 480

Discount Amount = Rs 40

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 480 - Rs 40 = Rs 440.

1) b.

Given,

Marked Price = Rs 870

Discount Amount = Rs 75

Selling Price = ?

Now,

Selling Price = Marked Price - Discount Amount

= Rs 870 - Rs 75 = Rs 795.

2) a.

Given,

Cost Price = Rs 120

Profit = 25

Selling Price = ?

Now,

Selling Price = Cost Price + Profit

= Rs 120 + Rs 25 = Rs 145.

2) b.

Given,

Selling Price = Rs 200

Profit = Rs 20

Cost Price = ?

Now,

Cost Price = Selling price - Profit

= Rs 200 - Rs 20 = Rs 180.

Answer:

The answers can be seen in the photo

Answer:

Step-by-step explanation:

There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.

One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:

13/5 = 39/a

OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:

13/39 = 5/a

Amazingly, these equations will give you the same answer.

13a = 39*5

13a = 195

13a/13 = 195/13

a = 15

You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

Learn more about cylinders here

https://brainly.com/question/23653983

#SPJ2

Answer:

1. run

2. rise

3. negative slope

4. positive slope

5. constant of proportionality

6. slope of the line

Step-by-step explanation:

Answer: store b

Step-by-step explanation:

Answer:

Step-by-step explanation:

=> x + 3x + 3y + 3z = 21

=> 4x + 3y + 3z = 21

=> 4x + 3y + 3z - 3y = 21 - 3y

=> 4x + 3z = 21 - 3y

=> 4x + 3z - 3z = 21 - 3y - 3z

=> 4x = 21 - 3y - 3z

[tex] = > \frac{4x}{4} = \frac{21 - 3y - 3z}{4} [/tex]

[tex] = > x = \frac{21 - 3y - 3z}{4} (ans)[/tex]

Given :

To Find :

Solution :

[tex]\qquad { \dashrightarrow \: { \sf{x + 3x + 3y + 3z = 21}}}[/tex]

Adding the like terms :

[tex]\qquad { \dashrightarrow \: { \sf{4x + 3y + 3z = 21}}}[/tex]

Transposing 3y to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{4x + 3z = 21 - 3y}}}[/tex]

Now, Transposing 3z to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{4x = 21 - 3y - 3z}}}[/tex]

Dividing both sides by 4 :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{4x}{4} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{{x} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]

Therefore, the value of x = 21 – 3y – 3z/4

the answer for this question is a: -9/-8

Answer:

Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:

Step-by-step explanation:

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Answer:

1

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

Answer:

The answer is 3 because you have to add 12 to both sides to isolate b.

Step-by-step explanation:

THE EQUATION IS -9=-12+b.

1. 3. 3. 1.

4. 2

2. 5. 4. 6.

9. 13

5. 3. 6. 7.

5. 9

Step by step explanation:

hopefully that's help

The two numbers are 12 and 5.

Two equations can be derived from this question

5x + 2y = 70 equation 1

4x - 2y = 38 equation 2

Where:

x = larger number

y = smaller number

In order to determine the  larger number, the following steps hare to be taken:

Add equation 2 and 1

9x = 108

Divide both sides by 9

x = 108/9

x = 12

In order to determine the smaller number, substitute for x in equation 1

5(12) + 2y = 70

60 + 2y = 70

70 - 60 = 2y

10 = 2y

y = 5

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

c = 5b ±sqrt(-10(b+a)+2)

Step-by-step explanation:

By using the Pythagoras theorem,

c² = a² + b²

a = b-5

b = a+5

c² = (b-5)² + (a+5)²

c² = b²-10b+25 + a²+10a+25

c² = b²-10b-10a+50

c² = b²-10(b+a)+50

c = 5b ±sqrt(-10(b+a)+2)

Answer:

Multiply each side by −5, add 25 to each side.

Step-by-step explanation:

Answer:

A volcano ejected with an initial velocity of 304 feet per second.

The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.

We will use the equation that traces the path of the projectile to determine the following information:

1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)

The equation; H = -16t^2 + 304t, a=-16; b=304

t = -304/2°(-16)

t = 9.5 sec to reach max height

2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)

t = 9.5

H = -16(9.5^2) + 304(9.5)

h = = -1444 + 2888

h = 1444 ft is the max height

3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.

-16t^2 + 304t = 0

factor out -16t

-16t(t - 19) = 0

t = 19 sec to reach the ground

Step-by-step explanation:

Answer:

I've done alot of calculations on this but I cant get a definite answer I hope you got it I'm sorry I couldn't help you I tried but only got into a dead end