Which equation best describes the relationship between the corresponding
values of x and y shown in the table?

A. y = x - 10
B. y = 2x - 8
C. y = 3x - 6
D. y = x2 - 8

Answer:

A = 148 cm^2

Step-by-step explanation:

To calculate the surface area of the cuboid we use the following equation

A = 2 x (lh + lw+ hw) (l: length, w: width, h: height)

A = 2 x (6*5 + 6*4 + 5*4)

A = 2 x (30 + 24 + 20)

A = 2 x 74

A = 148 cm^2

Answer:

E: n(n-2) is odd F: (n - 2)2 is odd

Step-by-step explanation:

Odd numbers are numbers divisible by 2 [ 1, 3, 5, 7, 9 … ]

» Assume n is 3

[tex]{ \tt{n - 1 = 3 - 1 = 2 \: \{even \: number \}}} \\ { \tt{n(n - 1) = 2 \times 3 = 6 \: \{even \: number \}}} \\ { \tt{n(n - 2) = 3(3 - 2) = 3 \: \: \{odd \: number \}}}[/tex]

Answer:

  x ≈ 57.8°

Step-by-step explanation:

The relevant trig relation is the one that relates the side adjacent to the angle to the hypotenuse and the angle:

  Cos = Adjacent/Hypotenuse

  cos(x) = 8/15

The value of x is found using the inverse cosine function:

  x = arccos(8/15)

  x ≈ 57.8°

Answer:

$91

Step-by-step explanation:

20% of 120= 96

96-5=91

Answer:

10800

Step-by-step explanation:

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Step-by-step explanation:

B = B₀ Kⁿ

At 4 pm yesterday the number of bacteria is 400

B₀ = 400

n = number of hrs

at 6 pm yesterday it was 3600 => n =  6- 4 = 2 hrs

B₂ = 3600

=> 3600 = 400 * k²

=> k² =  9

=> k = 3

At 7 Pm Yesterday

n = 7-4 = 3

B₃ = 400 * 3³

=> B₃ = 27 * 400

=> B₃ = 10800

bacteria in the colony at 7 pm = 10800

or B₂ = 3600 & n = 7-6 = 1

Then B₃ = 3600 * 3¹ = 10800

And boom here

Answer:

10800

Step-by-step explanation:

4 PM: 400

5 PM: 1200

6 PM: 3600

it multiplies by 3, so the answer is 10800

Answer:

total commission = 84$

Step-by-step explanation:

perfume commission = 12/100* 350 = 42.00$

cloth commission = .06*700 = 42.00$

Answer:

maybe it's 12

Step-by-step explanation:

I am not confirm

Answer:

12

Step-by-step explanation:

hope it helps!

Answer:

≈2.646 [m/s²].

Step-by-step explanation:

1) to calculate the resulting force, F (marked with red colour);

2) to calculate the requred acceleration, a=F/m.

All the details are in the attachment, the answer is marked with orange colour.

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

the rate of change is calculated as[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where (x₁, y₁ ) and (x₂, y₂ ) are any 2 ordered pairs from the table

using (x₁, y₁ ) = (20, 16 ) and (x₂, y₂ ) = (10, 12 ) , then

rate of change = [tex]\frac{12-16}{10-20}[/tex] = [tex]\frac{-4}{-10}[/tex] = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

78=c98

Step-by-step explanation:

this is easy

Answer:

Step-by-step explanation:

A scale factor of 1:3 means that one triangle is 3 times bigger than the other, for example. So, if the small triangle has a perimeter of 27, the big triangle has a perimeter 3 times as big.

Answer:

3000 I believe

Step-by-step explanation:

hope this helps

Answer:

uh 3000

Step-by-step explanation:

15*200=3000

:)

If 1litre=20km what about 180km 180km×1litre divided by 20km so the answer is 9litres.

Answer:

x = 2 / 3  or   x = 2

Step-by-step explanation:

3x² = -4 + 8x

3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x ( x - 2 ) -2 ( x - 2 ) = 0

( 3x - 2 )  ( x - 2 ) = 0

Therefore,

3x - 2 = 0             or                x - 2 = 0

3x = 2                                      x = 2

x = 2/3

Hope this helps you :-)

Solution:

[tex]3 {x}^{2} = - 4 + 8x[/tex]

Let us transpose -4 and 8x to the Left Hand Side. So we are left with 0 on the Right Hand Side.

[tex] = > {3x}^{2} + 4 - 8x = 0[/tex]

Now, arrange the expression in standard form.

[tex] = > {3x}^{2} - 8x + 4 = 0 \\ [/tex]

Now, split the mid term. Here, 3 × 4 = 12. So, we can split -8x into -2x and -6x.

[tex] = > ({3x}^{2} - 6x )- (2x + 4) = 0 \\ [/tex]

Now, take 3x common from the first expression and 2 from the second.

[tex] = > 3x(x - 2) - 2(x - 2) = 0 \\ = > (3x - 2)(x - 2) = 0[/tex]

When, two terms are equal to 0, then each term is equal to zero.

[tex] = > 3x - 2 = 0 \: \: and \: x - 2 = 0 \\ = > 3x = 2 \: \: and \: x = 2 \\ = > x = \frac{2}{3} \: \: and \: \: 2[/tex]

Answer:

[tex]x = \frac{2}{3} \: \: and \: \: 2[/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

x = 5

y = 17

Step-by-step explanation:

diagonals of a parallelogram bisect each other so:

11 = x+6

x = 5

10 = y-7

17 = y

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you get two equations.

y - 7 = 10                  Add 7 to both sides

y = 10 +  7

y = 17

x + 6 = 11                 Subtract 6 from both sides.

x + 6 - 6 = 11 - 6

x = 5

Answer:

Pi x (2 x radius) = C

Step-by-step explanation:

Learn that the perimeter of a circle has its own special name, called "circumference." The symbol is a capital C. It is calculated using the formula Pi x diameter, or 3.14 x d = C. It can also be calculated by Pi x (2 x radius) = C or 3.14 x (2 x r) = C.

Answer:

50(2x-1)

Step-by-step explanation:

GCF of 100x and 50 is 50

50(2x-1)

Answer:

I belive the answer is a

correct me if I'm wrong

Answer:

(a)  Proof below.

[tex]\begin{aligned}\textsf{(b)} \quad x_1&=-6.75308642\\x_2&=-6.561443673\\x_3&=-6.535451368\end{aligned}[/tex]

(c)  Approximations to the location of one of the roots of the equation given in part (a).  

Step-by-step explanation:

Given equation:

[tex]20-x^3-7x^2=0[/tex]

Add x³ to both sides of the equation:

[tex]\implies 20-x^3-7x^2+x^3=0+x^3[/tex]

[tex]\implies 20-7x^2=x^3[/tex]

Divide both sides of the equation by x²:

[tex]\implies \dfrac{20}{x^2} -\dfrac{7x^2}{x^2} =\dfrac{x^3}{x^2}[/tex]

[tex]\implies \dfrac{20}{x^2} -7 =x[/tex]

Given recursive rule:

[tex]\begin{cases}x_{n+1}=\dfrac{20}{x_n{^2}}-7\\x_0=-9\end{cases}[/tex]

Therefore:

[tex]\begin{aligned}\implies x_1&=\dfrac{20}{x_0{^2}}-7\\\\&=\dfrac{20}{(-9)^2}-7\\\\&=\dfrac{20}{81}-7\\\\&=\dfrac{20}{81}-\dfrac{567}{81}\\\\&=\dfrac{20-567}{81}\\\\&=-\dfrac{547}{81}\\\\&=-6.75308642\end{aligned}[/tex]

[tex]\begin{aligned}\implies x_2&=\dfrac{20}{x_1{^2}}-7\\\\&=\dfrac{20}{\left(-\dfrac{547}{81}\right)^2}-7\\\\&=\dfrac{20}{\left(\dfrac{299209}{6561}\right)}-7\\\\&=\dfrac{131220}{299209}-7\\\\&=\dfrac{131220}{299209}-\dfrac{2094463}{299209}\\\\&=-\dfrac{1963243}{299209}\\\\&=-6.561443673\end{aligned}[/tex]

[tex]\begin{aligned}\implies x_3&=\dfrac{20}{x_2{^2}}-7\\\\&=\dfrac{20}{\left(-6.561443673\right)^2}-7\\\\&=\dfrac{20}{\left(43.05254308\right)}-7\\\\&=0.4645486322-7\\\\&=-6.535451368\end{aligned}[/tex]

The values x₁, x₂ and x₃ are approximations to the location of one of the roots (zeros) of the equation given in part (a).

Each iteration gives a slightly more accurate value of a root x.

Answer:

KJ = 22

Step-by-step explanation:

(See attachment below)

The answer to the question is 14 . 10^5x.

Answer:

1,400,000

Step-by-step explanation:

800,000 + 600,000 = 1,400,000

Answer:x=0

Step-by-step explanation:

I’m guessing it would be no solutions

Answer:

Step-by-step explanation:

Travelled on Saturday:

Remaining distance:

Travelled on Sunday:

Answer : 3/10

Here it's given that Peter's family travelled 3/10 of the distance on Saturday . So if we assume the total distance to be 1 , then the remaining distance will be ,

[tex]\sf\longrightarrow 1 - \dfrac{3}{10}=\dfrac{10-3}{10}=\boxed{\dfrac{7}{10}}[/tex]

Again it's given that they travelled 3/7 of the remaining distance on Sunday . So , the distance travelled would be ,

[tex]\sf\longrightarrow \dfrac{3}{7}\times \dfrac{7}{10}=\boxed{\sf \dfrac{3}{10}} [/tex]

Therefore Peter's family travelled 3/10 of the total distance on Sunday .

Answer:

a(5) = 96

Step-by-step explanation:

Please use this notation:  a(1) = 6 and a(n) = 2a(n - 1).

In other words, each new term is twice the previous term.

Therefore, a(2) = 2a(1) = 2(6) = 12, and

                  a(3) = 2(12) = 24, and

                   a(4) = 48, and, finally,

                    a(5) = 96

Fifth term of the given sequence is equals to 96.

" A sequence is defined as the arrangement of the given numbers or the object in such a way it represents some pattern or a mathematical rule."

According to the question,

Given,

First term of the sequence  a1 = 6

Nth term of the sequence   an  = 2a(n - 1)

Substitute the different values of 'n'  in the given sequence we get,

n = 2

a2 = 2a(2-1)

    = 2a1

    = 2 × 6

     = 12

n= 3

a3 = 2a(3-1)

    = 2a2

    = 2 ×1 2

    = 24

n= 4

a4 = 2a(4 - 1)

    = 2a3

    = 2 × 24

    = 48

Fifth term of the given sequence

n = 5

a5 = 2a(5 - 1)

    = 2a4

   = 2 × 48

  = 96

Hence, fifth term of the given sequence is equals to 96.

Learn more about sequence here

https://brainly.com/question/21961097

#SPJ2

Answer:

 62.5 : 37.5

Step-by-step explanation:

When we divide 100 into 5:3 ratio the parts we make need to add up to 100

5parts +3 parts = 8 parts

100/8 parts = 12.5 are in each part

12.5*5 : 12.5*3

 62.5 : 37.5

check our answer 62.5+37.5 = 100 ✅

I'm assuming you meant to write y = ax^2 or [tex]y = ax^2[/tex]

If 'a' is positive, then the parabola opens upward

On the other hand if a < 0, then the parabola would open downward.

One way to remember is that 'a' being positive means that the parabola makes a positive happy smile; 'a' being negative means the parabola makes a negative sad frown.