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3 years ago

If 2^x=1/32, find the value of x

Mathematics

1 answer:

Dovator [93]3 years ago

3 0

Answer:

In this equation x is equal to -5.

Step-by-step explanation:

In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.

2^-5 = 1/32

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Can someone please help me

Anna [14]

Answer:

80=2x2x2x2x5

Step-by-step explanation:

2 just goes all the way down

80-2/40

40-2/20

20-2/10

10-2/5

80=2x2x2x2x5

4 0

3 years ago

Read 2 more answers

A newborn baby has 26,000,000,000 cells. An adult has about 1.9×10³ times as many as a newborn. About how many cells does an adu

Alenkinab [10]

*Hint* the ^ just means that the following numbers are powers like 1.9x10^3 is same as 1.9x10³

To figure this out just multiply

26000000000 × 1.9x10³ = 4.94x10¹³ cells in adults

6 0

3 years ago

HELP ME PLEASE solve the right triangle

Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}$

$$\csc A=\frac{ST}{RS}$

$$\csc 56^\circ=\frac{ST}{6}$

$$\csc 56^\circ \times 6=ST$

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}$

$$\cot A=\frac{RT}{RS}$

$$\cot 56^\circ=\frac{RT}{6}$

$$\cot 56^\circ \times 6=RT$

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0

3 years ago

With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health i

Dahasolnce [82]

Answer:

1. χ² = 15.3902

2. The p value is :_____.a. less than .005

3. Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %= 33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: the employee health insurance coverage is independent of the size of the company

against the claim

Ha: the employee health insurance coverage is not independent of the size of the company

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with ( 3-1) (2-1)= 2 d.f

4) Computations:

Under H0 , the observed frequencies are :

Observed Expected E (O-E) (O-E)² (O-E)²/E

33 42 -9 81 1.928

68 63 5 25 0.3968

88 84 4 16 0.1904

17 8 9 81 10.125

7 12 -5 21 1.75

12 16 -4 16 1

15.3902

Expected Values are calculated using the formula :

Row Total * Column Total / sample size

E1= (33+17) (33+ 68+88)/ 50+75+100= 42

E4= (33+17) (17+ 7+ 12)/ 50+75+100=8

E2= (68+7) (33+ 68+88)/ 50+75+100= 63

E5= (68+7) (17+ 7+ 12)/ 50+75+100= 12

E3= (88+12) (33+ 68+88)/ 50+75+100= 84

E6= (88+12) (17+ 7+ 12)/ 50+75+100= 16

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² = 15.3902 falls in the critical region χ² ≥ 5.99 so we reject the null hypothesis that the employee health insurance coverage is NOT independent of the size of the company.

2. The p value is :_____.

a. less than .005

The p-value is .000385.

3. Conclusion

a. health insurance coverage is not independent of the size of the company

4. The percentages of employees

Small %= 33/50= 0.66

Medium %= 68/75 = 0.91

Large %= 88/100= 0.88

3 0

3 years ago

a memory is a memory from a real event that was encoded, stored, but not retrieved for a long period of time; it is retrieved af

Inga [223]

Implicit or Doubtful memory of actual events that was stored encrypted, but was not retrieved for a long time until subsequent events suddenly brought it back to consciousness. The establishing, stabilizing like processes include in this memory.

Implicit Memory is a type of long-term memory and it is also known as unconscious memory or automatic memory. Implicit memory draws on past experiences to remember things without thinking. The power of tacit memory is made possible by past experiences, regardless of how long ago those experiences were.

Second stage of long-term memory formation.

Implicit memory, a subset of procedural memory, allows you to perform many everyday physical activities, such as walking and cycling, without having to think about it. Most of the implicit storage is procedural in nature.

For example:

typing on a keyboard
brushing your teeth. Riding a bicycle
Most people find it easy to ride a bike, even after years of not riding.

To learn more about Implicit Memory, refer:

brainly.com/question/15033888

#SPJ4

5 0

1 year ago