MATH DETECTIVE:
Clue 1) I am a negative integer greater than -6.
Clue 2) I am less than -2.
Clue 3) I am not equal to -2 + (-1).
Clue 4) I am not equal to 2 - 6.
Who am I??
HELPPP ME PLEASEEEEEE

Answer:

sept one

Step-by-step explanation:

the answer is 4/5 this is know to be hard

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

Step-by-step explanation:

208

Answer:

Step-by-step explanation:

Slant asymptote is y = - \(\frac{1}{3}\) x - \(\frac{2}{3}\)

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The products of segment lengths for the two chords are the same.

  x(15) = (9)(5)

  x = 9·5/15 . . . . . divide by 15

  x = 3 . . . . . . simplify

Answer:

( About ) 1,099 pounds

Step-by-step explanation:

The force required to keep this truck from rolling down the hill is opposed by the force of friction, comparative to the 2600 pounds of force against this friction. It should be that this opposing force is at work more towards the bottom of this hill, and thus the question asks the magnitude of latter force to keep this truck idle -

|| F || = sin( 25 ) * ( Fg ) = sin( 25 ) * ( 2600 lb ) = ( About ) 1098.80748 pounds

This can be rounded to a solution of 1099 pounds

The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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Answer:

6 days

Step-by-step explanation:

This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.

Day 1 = 26 miles

Day 2 = 13 miles (26÷2=13)

Day 3 = 6.5 miles (13÷2=6.5)

Day 4 = 3.25 miles (6.5÷2=3.25)

Day 5 = 1.625 miles (3.25÷2=1.625)

Day 6 = 0.8125 miles (1.625÷2=0.8125)

We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.

Answer:

31.5

Step-by-step explanation:

bxh/2

so 9x7=63 and divided by 2 is 31.5

Answer:

31.5

Step-by-step explanation:

use the formula base times high divided by 2

9x7=63

63/2=31.5

The odds against Jenny winning a headset 7/9 or 0.77

The odds in favor of Jenny winning a headset  2/9 or 0.22

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

According to the question

Total number of outcomes is 9

1)

The odds against Jenny winning a headset = 1- P(odds in favor) or 1 - 2/9

=7/9

2)

the odds in favor of Jenny winning a headset.=

P (headset )/ Total no. of outcomes

= 2/9

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Answer:

? = 900

Step-by-step explanation:

lets change ? to x

(100 + x) / 100 = 10

we will substitute /100

(100 + x) /100 · 100 = 10 · 100

100 + x = 1000

we substitute +100

100 + x -100 = 1000 - 100

x = 900

hope this helps =D happy learning!!

The height of the tower is 2358 feets.

David is standing 500 feet away from the base of a cell phone tower.

The angle of elevation from his eyes to the top of the tower is 78°. David eyes are 6 feet above the ground . The height of the tower can be found as follows:

This situation forms a right angle triangle. Therefore,

using trigonometric ratios,

tan 78° = opposite / adjacent

tan 78° = x / 500

cross multiply

x = 500 tan 78°

x = 500 × 4.70463010948

x = 2352.31505474

Therefore,

height of the tower = 2352 + 6

height of the tower = 2358 ft.

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Answer:

Part a: Answer is 1/2

78-3/1500 = 75/150

= 1/2

Part b: Answer is -1/2

3-78/300-150

=-75/150

= -1/2

Part c: No, the two rates aren't the same,

because one is positive and the other is

negative.

Part d: The rate of change of the function

determined by using the two pairs of

coordinates is not the same. So, the

function modeling the movement of the

ball is a nonlinear function

Answer:

Step-by-step explanation:

Since order does not matter \(_{12}C_3\\ \\ \frac{12!}{3!9!}\\ \\ 220\)

The retirement plans that potentially involve contributions from an individual's employer are I, III, and IV.

I - Traditional IRA: A Traditional IRA is an individual retirement account (IRA) that allows individuals to set aside money on a pre-tax basis. Contributions to a Traditional IRA may be made by an individual, or they may be made by an employer as part of an employee's retirement plan.

III - Pension Plan: A pension plan is a retirement plan organized by an employer that provides a guaranteed income to an employee after retirement. Employers typically make contributions to their employee's pension plan on their behalf.

IV - 401(k): A 401(k) is an employer-sponsored retirement savings plan. Contributions to a 401(k) plan can be made by an employee and their employer. Employers may match employee contributions, up to a certain percentage.

Therefore, the retirement plans that potentially involve contributions from an individual's employer are I, III, and IV.

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The probability of getting 0 defective resistors is approximately 0.272.

The probability of getting 1 defective resistor is approximately 0.545.

The probability of getting 2 defective resistors is approximately 0.181.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

To select 5 resistors with 0 defective resistors, select all 5 from the 9 working resistors.

The number of ways to do this is -

C(9, 5) = 126

The probability of selecting 5 working resistors is -

P(0 defective) = C(9, 5) / C(11, 5) ≈ 0.272

Therefore, the probability value is 0.272.

To select 5 resistors with 1 defective resistor, we can choose 1 defective resistor and 4 working resistors.

The number of ways to do this is -

C(2, 1) × C(9, 4) = 2 × 126 = 252

The probability of selecting 1 defective resistor and 4 working resistors is -

P(1 defective) = C(2, 1) × C(9, 4) / C(11, 5) ≈ 0.545

Therefore, the probability value is 0.545.

To select 5 resistors with 2 defective resistors, we must select 2 defective resistors and 3 working resistors.

The number of ways to do this is -

C(2, 2) × C(9, 3) = 84

The probability of selecting 2 defective resistors and 3 working resistors is -

P(2 defective) = C(2, 2) × C(9, 3) / C(11, 5) ≈ 0.181

Therefore, the probability value is 0.181.

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Answer:

I hope this helps!

Step-by-step explanation:

Answer:

Wouldent that be 6 logs

Step-by-step explanation:

Answer:

what is what is what is 1 + 1

Answer:

U = 17 1/7

T = 51 3/7

S = 61 3/7

Step-by-step explanation:

Given

T+S+U=130\

T=3(U)

S= T+10 we have to find value of u

First step:

find S and T in terms of U

T is given

T = 3U

S = T +10 , using T = 3U

S = 3U+10

Using the above value in T+S+U=130

3U + 3U+10 + U = 130

=> 7U = 130-10 = 120

=> U = 120/7 = 17 1/7

T = 3U = 3*120/7 = 360/7 = 51 3/7

S = T+10 = 360/7 + 10 = (360+70)/7 = 430/7 = 61 3/7

Thus,

U = 17 1/7

T = 51 3/7

S = 61 3/7

The amount of sales before growth according to the article is $153.85 million

let

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

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(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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Hello there,

\(a = 6 \frac{2}{3} \)

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer:

57

Step-by-step explanation:

this is the boybfiend