All categories

3 years ago

Simplify the expression using the exponent properties 5 ^ −4 x 5^ −3

Mathematics

1 answer:

vodka [1.7K]3 years ago

3 0

Answer:

$5^{-7}$ or 0.0000128

Step-by-step explanation:

Add the exponents together

-4+-3=-7

You might be interested in

Answer quickly pls ill mark brainliest

murzikaleks [220]

Answer:

32x - 24y - 5

Step-by-step explanation:

That's the answer that I got on the question

4 0

2 years ago

Read 2 more answers

As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

Thus , we need to survey <u>2285</u> Americans .

4 0

3 years ago

I need help on Part B and C on question 2

kap26 [50]

Answer:

The answer to your question is

Part A. Archimedes grades 6 1/4 tests per day

Part B. 8 19/32 days

Part C. 6 26/29 days

Step-by-step explanation:

Part A

Total time = 6 2/5 days

Number of tests = 40 tests

Process

1.- Convert the mixed fraction to improper fraction

6 2/5 = (30 + 2) / 5 = 32/5

2.- Divide 40 by 32/5

40/1 / 32/5 = (40 x 5) / (32 x 1)

= 200 / 32

Simplify

100 / 16 = 50/8 = 25/4

3.- Convert 25/4 to mixed fractions

4 25

25/4 = 6 1/4

Archimedes grade 6 1/4 tests per day

Part B

15 more tests

Total time = 32/5

Total tests = 40 + 15 = 55

Process

1.- Divide 55 by 32/5

55 / 1 / 32 /5 = (55 x 5) / (32 x 1)

= 275 / 32

2.- Convert 275/32 to a mixed fraction

32 275

256

Result 8 19/32 days

Part C

1.- Divide 55 by 7.25

50 / 7.25 = 5000 / 725

725 5000

- 4350

650

Result 6 650/750 = 6 26/29

3 0

3 years ago

Find the distance between A (2.6) and N (5,10). Round to the nearest tenth, if necessary.

Triss [41]

Answer:

Step-by-step explanation:

6 0

2 years ago

Write an equation of a line containing (2, -3) and perpendicular to 3x+4y=14 answer

Sergio039 [100]

Answer:

Step-by-step explanation:

From the condition of perpendicularity, if two lines must be perpendicular to each other, the product of their gradient rather the slope must be equaled to ( -1 ).

Equation of a line ; y = mx+ c, where m1 is the gradient of the line and c us the point of intersection if the line on the y- axis.therefore, the equation

3x + 4y = 14, when re arranged, now becomes, 4y = -3x + 14, divide through by 4, gives, y = -3x/4 + 14.

Therefore, m1, = -3/4 and m2, = 4/3 going by the condition. Since the line passes through the coordinate of (2,3), where x = 2, and y = -3, then, substitute for x and y in y = mx+ c, minding the m2, to find C, therefore,

-3 = 4/3x2 + c. -3 = 8/3 +c

Multiply through by 3 to make it a linear equation,

-9 = 8 + 3c; -9 - 8 = 3c, -17= 3c

c = -17/3.Now substitute for c in the equation ,y = mx+ c, the equation now becomes, y = 4x/3 - 17/3. Therefore the new equation is

3y = -4x - 17.

7 0

3 years ago