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2 years ago

Which expression is equivalent to b * b * b * b *

Mathematics

1 answer:

Ne4ueva [31]2 years ago

4 0

Answer:

b⁴

Explanation:

b×b=b² b×b=b²

b²×b=b³ b×b×b=b³

b³×b=b⁴ b×b×b×b=b⁴

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Select all points that are on the line through 0,5

Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $\frac{8-5}{2-0}$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0

2 years ago

Read 2 more answers

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

Maksim231197 [3]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that ,

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

$\$5+\$15=\$20$

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

$20+1.50x$

Now, remaining money left to him after spending on x rides too is

$90-(1.50x+20)\\\\=90-1.50x-20\\\\=70-1.5x$

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

$f(x)=70-1.50x\\\\f(x)=-1.50x+70$

3 0

2 years ago

Read 2 more answers

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

KonstantinChe [14]

$\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]$

We will apply these following power rule

$x^m*x^n = x^{m+n}$
$x^m/x^n=x^{m-n}$

$[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]$
$[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]$
$x^{-6}y^{-21}[x^{-39}y^{-21}]$
$[x^{-6-39}][y^{-21-21}]$
$x^{-45}y^{-42}$

8 0

3 years ago

there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.

tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0

3 years ago

Shorter one inch one foo

11Alexandr11 [23.1K]

Oh shorter one inch from a foot rit? One foot=12 in 12-1=11 11 inches

7 0

2 years ago