if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Based on the information, we can infer that the graph that correctly relates the table information is option D.

To select the correct option we must analyze the table and identify the corresponding information of each row and column. Later we must analyze each of the graphic options to establish the correct relationship between the graphic and the table.

According to the above, the correct graph is option D because the values that relate the time online and the frequency of people is the same as in the table.

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The names of the expressions are;

1) Monomial, quadratic

2) Monomial, constant

3) Binomial, Linear

4) Trinomial, quadratic

An algebraic expression that has one or more terms, each of which is a variable raised to a non-negative integer exponent and multiplied by a coefficient, is referred to as a polynomial. The terms are mixed by adding or removing. A polynomial may include 0 terms or more.

A particular kind of polynomial known as a trinomial has exactly three terms. Trinomials are made up of three different pieces, which are frequently denoted by the formula "ax2 + bx + c," where "a," "b," and "c" are coefficients.

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The volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

The first shape comprises of a cone and a cylinder, and the volume is derived as follows:

volume of the cone = 1/3 × 3.14 × (8m)² × 5m

volume of the cone = 1004.8m³

volume of the cylinder = 3.14 × (8m)² × 0m

volume of the cylinder = 2009.6 m³

volume of the first solid shape = 1004.8m³ + 2009.6 m³

volume of the first solid shape = 3014.4m³

The second solid shape comprises of a trianglular prism and a cuboid

volume of the trianglular prism = base area × height

base area = 1/2 × 6ft × 4ft = 12ft²

volume of the trianglular prism = 12ft² × 6ft

volume of the trianglular prism = 72ft³

volume of the cuboid = 12ft × 6ft × 4ft

volume of the cuboid = 288ft³

volume of the second solid shape = 72ft³ + 288ft³

volume of the second solid shape = 360ft³

Therefore, the volume of the first and second solid shapes are 3014.4m³ and 360ft³ respectively.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The line passes through the points (0, 3), (1, -2), and (-1, 8), and it extends infinitely in both directions.

To graph the line y = -5x + 3, we can start by plotting a few points and then connecting them to create the line.

We can choose arbitrary values for x and calculate the corresponding y values using the given equation. Let's choose three values of x and calculate the corresponding y values:

When x = 0:

y = -5(0) + 3 = 3

So, we have the point (0, 3).

When x = 1:

y = -5(1) + 3 = -5 + 3 = -2

So, we have the point (1, -2).

When x = -1:

y = -5(-1) + 3 = 5 + 3 = 8

So, we have the point (-1, 8).

Now, we can plot these points on a coordinate plane:

     |

10    +

     |

     |

5    +

     |

     |

0----+----+----+----+----+----+----+----+----+----+

     -2   -1    0    1    2    3    4    5    6    7

Once we have plotted these points, we can connect them to form a straight line:

     |

10    +

     |

     |

5    +                 .

     |               .

     |             .

0----+----+----+----+----+----+----+----+----+----+

     -2   -1    0    1    2    3    4    5    6    7

The line passes through the points (0, 3), (1, -2), and (-1, 8), and it extends infinitely in both directions.

The graph of the line y = -5x + 3 is a straight line with a slope of -5 (indicating that it decreases by 5 units in the y-direction for every 1 unit increase in the x-direction) and a y-intercept of 3 (indicating that the line intersects the y-axis at the point (0, 3)).

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Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer: 52

Step-by-step explanation:

The sides are: 2*1, 2*1, 1*8, 1*8, 2*8, 2*8.

So:

2, 2, 8, 8, 16, 16

10, 10, 16, 16

20, 32

52

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = [tex]\sqrt{36}[/tex] = 6

then

P = 4s = 4 × 6 = 24 cm

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.