Solve for x. −4≤16−4x





x≤5

x≤−5

x≥−5

x≥5

The associative property of addition is exemplified in the equation 3+(x+y)=(x+y)+3.

The equation that is an example of the use of the associative property of addition is:

3+(x+y)=(x+y)+3

This equation demonstrates that when adding three numbers, the grouping of the numbers does not affect the sum, showcasing the associative property of addition.

Final answer:

The number of desktop internet users is 3 times larger than the number of mobile internet users.

Explanation:

To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.

The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.

Now, we divide the number of desktop internet users by the number of mobile internet users:

1,200,000,000 / 400,000,000 = 3

Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.

Answer:

i think its 50....

Final answer:

The probability of a 5-bit binary code word containing exactly one zero, when each bit has a 0.8 probability of being zero, is calculated using the binomial probability formula. The final answer to this problem is 0.0064.

Explanation:

The student is asking about the probability of having exactly one zero in a 5-bit binary code where each bit has a probability of 0.8 of being zero. To calculate this, we will consider the binomial distribution where the number of trials (n) is 5 (since the code has 5 bits) and the probability of success (having a zero) in each trial (p) is 0.8. We want to find the probability of having exactly one success (one zero).

Using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k),

where X is the random variable representing the number of zeros, and k is the number of successes (zeros) we want, which in this case is 1. We plug in our values:

n = 5

k = 1

p = 0.8

P(X = 1) = (5 choose 1) * 0.8^1 * (1-0.8)^(5-1) = 5 * 0.8 * 0.2^4 = 0.0064.

The final answer is that the probability of a 5-bit binary code containing exactly one zero is 0.0064.

Answer: $56,000

Step-by-step explanation:

Given: The equation [tex]y=1.55x+110,419[/tex] approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x.

The household’s total cost of raising a child = $197,219

Put the above value in the equation, we get

[tex]197,219=1.55x+110,419\\\Rightarrow\ 1.55x=197219-110419\\\Rightarrow\ x=\frac{86800}{1.55}\\\Rightarrow\ x=56,000[/tex]

Hence, the household’s annual income is $56,000.

1/2 cup + 1/2 cup = 1 cup

so four 1/2 cups = 2 cups

 so five 1/2 cup servings = 2 1/2 cups

 answer is 5

Final answer:

The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.

Explanation:

To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.

Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.

Answer:

4 units

Answer: The correct option is second, i.e., Subtraction Property of Equality.

Explanation:

The given equation is,

[tex]5x+7=2x-1[/tex]

The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.

Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,

[tex]5x+7-2x=2x-1-2x[/tex]

Then combined like terms,

[tex](5x-2x)+7=(2x-2x)-1[/tex]

[tex]3x+7=-1[/tex]

It is the required equation.

Hence, second option is correct.

Answer:

Step-by-step explanation:

The probability that the three marbles drawn are all the same color is 64/3375.

To find the probability that all three marbles drawn are the same color, we need to consider two cases:

1. The probability of drawing three red marbles
2. The probability of drawing three white marbles

For the first case, the probability of drawing one red marble from the bag is 4/15. After replacing the marble, the probability of drawing another red marble is still 4/15. So, the probability of drawing three red marbles is (4/15) * (4/15) * (4/15).

For the second case, the probability of drawing one white marble from the bag is 5/15. After replacing the marble, the probability of drawing another white marble is still 5/15. So, the probability of drawing three white marbles is (5/15) * (5/15) * (5/15).

Adding the probabilities of the two cases, we get (4/15) * (4/15) * (4/15) + (5/15) * (5/15) * (5/15), which simplifies to 64/3375.

To find the height of the cloud cover, we use the tangent of the 45° elevation angle, which equals 1. Since the distance is 590 m, the height of the cloud cover is also 590 m.

To calculate the height of the cloud cover, we can use trigonometry. The problem describes two angles and a distance between the spotlight and the observer, which forms a right-angled triangle on the ground and a triangle from the observer to the light on the cloud. The two angles in use are 75° (the angle of the spotlight from the horizontal) and 45° (the angle of elevation from the observer to the light). Using the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle, we can find the height of the cloud cover (h).

Since the angle of elevation from the observer to the light on the cloud is 45°, the tangent of this angle is 1. This means that for every unit distance from the observer to the point directly underneath the cloud cover, there is one unit of rise. As we are given that the distance (d) is 590 m ,, using the tangent relationship (tan(45°) = h/d), we find that the height of the cloud cover (h) is equal to the distance to the observer (d).

The calculations are as follows:

Therefore, the height of the cloud cover is 590 meters.

Answer:

A pyramid is a three dimensional shape ,having base in the shape of any polygon and other faces in the shape of triangle.There are 8 edges, 5 vertices of this Pyramid.

→→ Sometimes

Why sometimes,because may be Length of edge that is base of Triangle Exceed the side length of Square, or Edge of Square exceed the side length of base of triangle.

In the depreciation formula V(t) = Vo(b)^t, Vo is the initial value of $408,000, and b is 0.82 (1 minus 18% depreciation). After 8 years, using these values, the assets are valued at approximately $68,818.46 when rounded to the nearest cent.

The student's question relates to the depreciation of business assets over time. In the formula V(t) = Vo(b)^t, Vo represents the initial value of the assets and b represents the depreciation rate expressed as a base for the exponential function. Knowing that the asset is worth $408,000 initially and depreciates at 18% per annum, Vo equals $408,000, and b equals (1 - 0.18) or 0.82, which reflects the remaining value of the asset after one year.

To calculate the value after 8 years, we use the formula with the given values: V(8) = 408,000(0.82)^8. The calculation proceeds as follows:

To answer the question, the value of the assets after 8 years, rounded to the nearest cent, is $68,818.46.