Which expression shows the prime factorization of 100?


A
1010
B
22 × 52

C
2 × 5 × 10
D
10 × 10

The graph that represents the compound inequality –3 < n < 1 is option C.

The given inequality is -3<n<1.

We need to determine the graph of the given inequality.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The graph that represents the compound inequality –3 < n < 1 is the straight line from -3 to 1 in which there is a hollow circle in the -3 point and in the 1 point. This is because < means that the possible values of n are only greater than -3 excluding -3 and less than -1 excluding -1.

Therefore, the graph that represents the compound inequality –3 < n < 1 is option C.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The factor of f(x) is (x + 9) and (x - 7+i).

Given that,

polynomial function f(x) has roots -9 and 7 - i.

So we can write this as

x = -9 and x = 7 - i

implies that

x + 9 = 0 and x -7 + i = 0

Therefore the factors of f(x) is (x+9) and (x-7+i).

A factor is a number that divides another number, leaving no remainder.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Polynomial functions are expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants.

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Answer:

3.50 one thats it

if you need anyother help im here for you um yea...im not really in colage i just found this place at imn class lol im in 6th grade and am 11 years old lol thats my live oh and my dad is abusive lol yea...

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

the angles shown are alternate interior angles and are congruent

(c)

since they are congruent , then

- 1 + 8x = 7x + 11 ( subtract 7x from both sides )

- 1 + x = 11 ( add 1 to both sides )

x = 12

(d)

then

7x + 11 = 7(12) + 11 = 84 + 11 = 95

- 1 + 8x = - 1 + 8(12) = - 1 + 96 = 95

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:

-7x^3+8x^2+x-5

Step-by-step explanation:

We are simply adding the two functions:

f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5

By calculating , The value of x we get is  5 as a final resultant.

What is trapezoid ?

A trapezoid is a quadrilateral with two parallel sides, called the "bases," and two non-parallel sides, called the "legs." The parallel sides can have different lengths, and the trapezoid can be either right-angled or oblique. In other words, a trapezoid is a geometric shape that has two parallel sides, two non-parallel sides and four angles.

Since a Trapezoid has 360 Degrees total and since the sides are equal we can say that

180=110+17x-15

70=17x-15

85=17x

x=5

Therefore, By calculating , The value of x we get is 5 as a final resultant.

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Answer:

y=-2x+5..…...........

Answer:

9.1200003464E54

Hope that answers your question. Please mark as Brainliest. Thank You!

Solution:

Given:

To subtract the numbers, since they both have the same power, we subtract the decimal numbers separately and multiply by the number having the exponents.

Hence,

Now multiply by 10 to the power of 5.

Therefore, the final answer is;

Answer:2/3

Step-by-step explanation:

3/2 * 4/9 = 2/3

Answer:

1/3

Step-by-step explanation:

3/2 x 4/9 = 12/18 = 1/3

The width of the prism is, 12 centimeter.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters.

Let the width of the prism = x

Now, We know that;

⇒ Volume of prism = Length × Width × Height

Substitute all the given values, we get;

⇒ 756 = 14 × x × 4 1/2

⇒ 756 = 14 × 9/2 × x

⇒ 756 = 63x

⇒ x = 756 / 63

⇒ x = 12 centimeter

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a). The triangles RST and UVW are not similar

b). The triangles VKW and MKL satisfy the AA criterion hence they are similar.

The AA criterion also known as the Angle Angle criterion, states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Recall that similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

a). The angles in triangle VKW are not congruent and corresponding to the angles of triangle UVW, so does not satisfy the AA criterion.

b). The angles of triangle RST are congruent and corresponding to the angles of triangle MKL, thus satisfy the AA criterion.

In conclusion, The triangles RST and UVW are not similar. The triangles VKW and MKL satisfy the AA criterion hence they are similar.

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Answer:

yes because....

Step-by-step explanation:

6 + 11 > 13

True, When assessing schedule feasibility, a systems analyst must consider the interaction between time and costs.

When assessing the viability of scheduling a project, an organisation determines the anticipated completion time. The feasibility analysis assists in identifying any potential obstacles the proposed project may encounter, such as: Internal project constraints, including those related to technology, finances, and resources

The expansion and acceptance of project management training have undergone significant changes over the past few years, and it is projected that these developments will continue and accelerate. And as project management becomes more popular, feasibility studies become more important. It may be exhilarating to begin a difficult, extensive project that will have a significant influence on your organization.

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Answer:

Step-by-step explanation:

I think they both spend 300$

Step-by-step explanation:

The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:

3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water

Simplifying this proportion, we get:

x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons

x = 0.01078 gallons of salt mix

To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:

1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix

Simplifying this proportion, we get:

y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)

y = 0.0862 pints of aquarium salt mix

Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.

Shiv S. Goswami

Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 120 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth.

The volume of the cylindrical tank can be calculated using the formula:

V = πr^2h

where r is the radius (half the diameter) of the tank, and h is the height of the tank.

The radius of the tank is 120/2 = 60 inches, and the height is 72 inches. Therefore, the volume of the tank is:

V = π(60)^2(72) ≈ 9,678,696.12 cubic inches

Water flows into the tank at a rate of 6500 cubic inches per minute. Therefore, after t minutes, the volume of water in the tank will be:

Vw = 6500t cubic inches

The height of the water in the tank after t minutes can be calculated by rearranging the formula for the volume of a cylinder:

V = πr^2h

to solve for h:

h = V / (πr^2)

Substituting the values we know, we get:

h = (V + Vw) / (πr^2)

After 5 minutes, the volume of water in the tank will be:

Vw = 6500 * 5 = 32,500 cubic inches

So the total volume of water in the tank after 5 minutes will be:

V + Vw = 9,678,696.12 + 32,500 = 9,711,196.12 cubic inches

Substituting these values into the formula for the height of the water, we get:

h = (9,711,196.12) / (π(60)^2) ≈ 82.2 inches

Therefore, the height of the water in the tank after 5 minutes is approximately 82.2 inches (rounded to the nearest tenth).

The slope of the line that best suits the data is -0.1463.

slope = \(\sum (( x -\bar x )( y - \bar y )) / \sum ( x - \bar x ) ^2\)

where x is the number of ice cream treats sold, y is the number of coffee drinks sold, x bar is the mean of the number of ice cream treats sold, and ȳ is the mean of the number of coffee drinks sold.

Using the given data, we find that:

\(\bar x =\) (16 + 19 + 28 + 27 + 28 + 36 + 38 + 41 + 41 + 48) / 10 = 32.2

\(\bar y =\) (55 + 43 + 51 + 46 + 32 + 36 + 43 + 25 + 10 + 33) / 10 = 36.4

Next, we calculate the terms needed for the formula:

\(\sum (( x - \bar x )( y - \bar y ))\) = (16 - 32.2)(55 - 36.4) + (19 - 32.2)(43 - 36.4) + ... + (48 - 32.2)(33 - 36.4) = -686.6

\(\sum ( x - \bar x )^2\) = (16 - 32.2)² + (19 - 32.2)² + ... + (48 - 32.2)² = 4690.6

Plugging these values into the formula, we get:

slope = \(\sum (( x - \bar x )( y - \bar y )) / \sum ( x - \bar x )^2\) = -686.6 / 4690.6 = -0.1463

Therefore, the slope of the line that best fits the data is -0.1463.

Interpreting the slope in terms of the situation, we can say that for every additional ice cream treat sold, the number of coffee drinks sold decreases by an average of 0.1463.

To write the equation of the line that best fits the data, we use the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept. We already know the value of m, so we just need to find b. To do this, we can use the mean values of x and y:

y = mx + b

36.4 = (-0.1463)(32.2) + b

b = 41.9

Therefore, the equation of the line that best fits the data is:

y = -0.1463x + 41.9

To estimate the number of coffee drinks sold on a day that 32 ice cream treats were sold using the equation of the line of best fit, we simply substitute x = 32 into the equation and solve for y:

y = -0.1463(32) + 41.9

y ≈ 36.9

So we can estimate that approximately 36.9 coffee drinks were sold on a day that 32 ice cream treats were sold. This conclusion is justified because we used the equation of the line that best fits the data to make the estimate, which takes into account the overall trend of the data and the relationship between the number of ice cream treats sold and the number of coffee drinks sold. However, it's important to note that this is only an estimate and there may be other factors that could affect the actual number of coffee drinks sold on a particular day.

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Answer:

b & d

Step-by-step explanation:

Answer: x=-5

Step-by-step explanation: Plug -5 in for x

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Answer:

Senior Ticket: $4 Child Ticket: $7

Step-by-step explanation:

We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.

We have from day 1:

A: 3s + 9c = 75

And from day 2:

B: 8s + 5c = 67

Now we can rewrite A as:

A: 24s + 72c = 600

And can rewrite B as:

B: 24s + 15c = 201

Now A-B can be written as:

A-B: 57c = 399

So c = 7

Now substituting this back into A we get:

A: 3s + 63 = 75

A: 3s = 12

So s = 4

We have the price of a senior ticket is $4 and the price of a child ticket is $7

Answer:

28.57

Explanation:

35 is the total amount of students.

25 is the amount of women in the class, we can assume the rest are men.

35 Total students - 25 women = 10 men

10 men, 35 Total students

(10/35) × 100 = 28.57%

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86