All categories

3 years ago

Explain the differences (exponents) -6^4 and (-6)^4

Mathematics

1 answer:

wel3 years ago

7 0

Step-by-step explanation:

$- {6}^{4} = - 1296 \\ \\ (- {6})^{4} = 1296$

The product of $-6^4$ is negative whereas the product of $(-6) ^4 is positive.$

You might be interested in

Question 6 of 10

AysviL [449]

B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.

The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.

5 0

3 years ago

Alfred buys a car for £15225 which depreciates in value at a rate of 0.25% per year.

GaryK [48]

Answer:

14,590

Step-by-step explanation:

3 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

A line passes through the points (7, 3) and (8, 3). What is its equation in slope-intercept form?

Sati [7]

Answer:

y=3

Step-by-step explanation:

The y values are the same, so there cannot be a slope. The (mx) part of y=mx+b is cancelled out, and is left with the b. Since the y value is forever three, the y-intercept will be 3 as well.

Therefore, the slope-intercept equation is

y=3

3 0

3 years ago

Will mark brainliest Let f(x)=x2+3x+2 .

PSYCHO15rus [73]

METHOD 1
f(3) = 20
f(4) = 30
f(5) = 42
f(6) = 56

rate of change
f(4)-f(3)=10
f(5)-f(4)=12
f(6)-f(5)=14

then the average of change is 10+12+14 /3 = 12

METHOD 2 --- faster

rate of change = f(6)-f(3) / 6-3
= (36+18+2)-(9+9+2) / 3
= 36/3 = 12

5 0

4 years ago