what is equivalent to 3x-12=24

Answer:

$1080

Step-by-step explanation:

F = P + Prt

r = 5% = 0.05; t = 4

F = $900 + $900 × 0.05 × 4

F = $1080

Answer:

x+50°=180°{alternate enterior angle}

x=180-50

x=130°

hope it helps ....

By using the given domain and range, we will see that the false statements are:

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

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Answer:

Multiply  1.07  by 103. 110.21

Step-by-step explanation:

Tell me if i'm wrong. Hope this helps!

Answer:

A = 3 + 9/10

B = -(3 + 3/10)

Step-by-step explanation:

We have two numbers, A and B, such that:

A + B = 3/5

A - B = 7 + 1/5

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate A in the first equation:

A = 3/5 - B

Now we can replace this in the other equation:

A - B = 7 + 1/5

(3/5 - B) - B = 7 + 1/5

3/5 - 2*B = 7 + 1/5

-2*B = 7 + 1/5 - 3/5

-2*B = 7 - 2/5 = 35/5 - 2/5 = 33/5

B = -(33/5)/2 = -33/10 = - 30/10 - 3/10 = -3 - 3/10 = -(3 + 3/10)

Now that we know the value of B, we can use the equation

A = 3/5 - B

To find the value of A:

A = 3/5 - ( -(3 + 3/10))

A = 3/5 + (3 + 3/10)  = 6/10 + 3 + 3/10 = 3 + 9/10

The numbers are:

A = 3 + 9/10

B = -(3 + 3/10)

Answer:

The mama bear can do it in 9

seconds. The cub can do it in 18

seconds.

Step-by-step explanation:

1/x+9+1/x=1/6

Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.

The together rate is the sum of each separate rate.

In this problem, the rates are as follows:

Given

A tourist ignores the warning signs and leaves food in his car while he goes for a hike.

A mama bear and her cub open the car door in six seconds.

Together with rate: 1/6.

Mama's rate: 1/x.

Cub's rate: 1/(x + 9).

Therefore,

\(\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6\)

The value of time can not be negative.

Hence, It would take each bear 9 hours to open the car door alone.

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The probability that one egg selected at random from a hen house will weigh at most 62 grams is 0.3446.

This can be calculated using the cumulative distribution function of the normal distribution. The formula is:
P(X ≤ x) = 0.5 [1 + erf{(x - μ)/(σ√2)}]
In this case, μ is 65 (the mean), σ is 5 (the standard deviation), and x is 62 (the weight of the egg). Plugging these values into the equation yields 0.3446.

The probability of an egg weighing at most 62 grams can be found using the z-score formula:
z = (x - μ) / σ
where x is the value we are interested in (62 grams), μ is the mean (65 grams), and σ is the standard deviation (5 grams).
Plugging in the values, we get: z = (62 - 65) / 5 = -0.6
Now, we can use a z-table to find the probability that corresponds to a z-score of -0.6. According to the table, the probability is 0.2743.
So, the probability that one egg selected at random from a hen house will weigh at most 62 grams is 0.2743.
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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

A. they go on forever

Step-by-step explanation:

from the picture the lines will never meet

Answer:

mica should have added 2 to 3 instead of 1

Step-by-step explanation:

Using conditional probability, it is found that there is a 0.83 = 83% almost 0.8403  probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

Probability: -

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

Conditional Probability :

Using conditional probability, it is found that there is a 0.83 = 83% = P( A∩ B) / P(A)

In which

In this problem:

Event A: Commute to school each day.

Event B: Spends more than $25 a week.

80% indicated that they commute to school each day. of those that commute to school each day, hence , P(A) = 0.8

Of those, 83% spend more than $25 a week on gasoline, hence .

                     P(B|A) = 0.83

Thus, 0.83 = 83% probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

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We can see here, from the first term to the second term, we minus 2. From the second term to the third term, we minus 2.

So, we're constantly reducing by an amount, therefore making this sequence an arithmetic sequence.

The common difference, said above, is -2 (since if the terms are getting smaller the common difference is a negative number.)

Answer:

D. 10(f + 6e)

Step-by-step explanation:

sana nakatulong

Answer:

x = 27.2 or 27 1/5

Step-by-step explanation:

cos 54° = 16/x

x = 27.2 or 27 1/5

Answer:

All triangles

Step-by-step explanation:

They all show right angles.

Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

Answer:

k = 29

29 + 6 = 35

-3 + 5 = 2

35 + 2 = 37

The fixed fee for Company 1 is equal to $5.5.

The fixed fee for Company 2 is equal to $9.15625.

A statement which is true is: A. Company 1's rate per pound is twice the rate per pound of Company 2.

In Geometry, the rate of change of any straight line simply refers to its gradient or slope and it can be calculated by using this mathematical expression;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

Based on the weight of the package for Company 1, the constant rate per pound is given by:

Rate of change (slope), m = (14.50 - 9.25)/(6 - 2.5)

Rate of change (slope), m = 5.25/3.5

Rate of change (slope), m = 1.5.

At data point (2.5, 9.25), an equation for the fixed fee for Company 1 can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9.25 = 1.5(x - 2.5)

y = 1.5x - 3.75 + 9.25

y = 1.5x + 5.5

Therefore, the fixed fee is $5.5.

Based on the weight of the package for Company 2, the constant rate per pound is given by:

Rate of change (slope), m = (7.25 - 6.5)/(2 - 1)

Rate of change (slope), m = 0.75/1

Rate of change (slope), m = 0.75.

At data point (1, 6.5), an equation for the fixed fee for Company 1 can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6.5 = 0.75(x - 1)

y = 0.75x - 0.75 + 6.5

y = 0.75x + 5.75

Therefore, the fixed fee is $5.75.

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Answer:

SAMEEE

Step-by-step explanation:

Answer:

The equation for a cylinder is  V = π r 2 h

Step-by-step explanation:

So this is what your equation would look like:

V = (π)(4)(2)(8)

Pi=3.14

The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.

These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of  source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.

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Answer:

The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.

Step-by-step explanation:

pictures below

I think U gave an incorrect question

Answer:

c = 4,9

d = 4,6

The equation x^2 + 2x - 8 = 0 implies the equation x^2 + 2x + 1 = 9, and vice versa.

To solve the quadratic equation x^2 + 2x - 8 = 0, we can use the method of completing the square. Adding 9 to both sides of the equation, we get x^2 + 2x + 1 = 9. This step allows us to create a perfect square trinomial on the left side.

Next, we can rewrite the left side of the equation as (x + 1)^2 = 9, applying the binomial formula (x + a)^2 = x^2 + 2ax + a^2. In this case, we choose a = 1.

Taking the square root of both sides, we have x + 1 = ±√9, which simplifies to x + 1 = ±3. By solving for x, we find two possibilities: x = 2 and x = -4.

Therefore, the solutions to the quadratic equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

In summary, the equation x^2 + 2x - 8 = 0 implies the equation x^2 + 2x + 1 = 9, and the solutions to the original equation are x = -4 and x = 2. By completing the square, we transformed the given quadratic equation into an equivalent form that allowed us to find the solutions accurately.

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Answer:

0.55x+4<=25

Step-by-step explanation:

It would be 0.55x because x is the number of bananas and 0.55 is the cost and the 4 represents the $4 she spent for a papaya. The 25 is the amount of money she has so it says less than or equal to because she only has so much money.

Answer:

Ture

Step-by-step explanation:

I have experience and i answered this question before

Answer:

True.

Step-by-step explanation:

Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!

Answer:

x=27.5 hope it helps you..... and hi

Answer:

Step-by-step explanation:

1....Re-order terms so constants are on the left;

2(x - 3) =49

2.. Distribute;

2x-6 =49

3... Add 6 to both sides;

2x-6+6=49+6

4... Simplify;

2x=55

5..Divide both sides by the same factor;

2x=55

\(\frac{2x}{2}\)  = \(\frac{55}{2}\)

6...Simplify;

x=\(\frac{55}{2}\)