Which ordered pair is a solution of the equation?
y= 8x + 3
WChoose 1 answer:
А
Only (1, 11)
B
Only (-1,-5)
Both (1, 11) and (-1,-5)
Neither

Answer:

C

Step-by-step explanation:

3/4+3/4=6/4=1 2/4=1 1/2

C is located halfway between 1 and 2, so you know it is 1 1/2.

A fraction is a way to describe a part of a whole.  The number on the number line is represented by point C.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

To plot the fraction on the number line, the sum of the number line is needed to be found. Therefore, the sum of the number line can be written as,

\(\rm Sum = \dfrac34 + \dfrac34 = \dfrac64\)

Thus, the sum of the fraction is (6/4), which can also be written as 1.50.

The number on the number line is represented by point C.

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Answer:

x≥20

Step-by-step explanation:

-3(6-2x)≥4x+12

or, -18+6x≥4x+12

or, -18-12≥4x-6x

or, -40≥-2x

or, -40/2≥-x

or, -20≥-x

or, 20≥x

= x≥20

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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A 1x25 Playfair matrix results in a substitution system called the "Playfair Cipher."

This cipher is a digraph substitution cipher, where pairs of letters are encrypted using a 5x5 matrix created from a keyword. The matrix is filled with unique letters of the alphabet, and "I" and "J" are typically combined into one slot. The Playfair Cipher encrypts pairs of letters by following specific rules: if the letters are in the same row or column, they're replaced by the letters to their immediate right or below, and if they form a rectangle, they're replaced by the letters on the same row but in the opposite corners. This cipher provides a more secure encryption compared to simple substitution ciphers, as it encrypts pairs of letters instead of single characters.

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The concept of mathematical harmony was most directly incorporated in the Parthenon in the use of columns.

The term harmony has to do with tunes that are concordant and make meaning to the ears. The search for patterns and sequences is what introduced harmony to mathematics.

Hence, the concept of mathematical harmony was most directly incorporated in the Parthenon in the use of columns.

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Answer:

i need points my bad

Step-by-step explanation:

Answer:

\(y = \frac{3}{7} x + 1\)

Step-by-step explanation:

Let's write the equation of the line in the form of \(y = mx + c\). This is known as the slope-intercept form, and m is the slope while c is the y-intercept.

The slope of the line can be found by taking the slope of any two points that lie on the line, since the line is linear.

In this case, the 2 points chosen are (0, 1) and (7, 4).

\(\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope of line

\( = \displaystyle{\frac{4 - 1}{7 - 0} }\)

\( = \displaystyle{ \frac{3}{7} }\)

\(y = \frac{3}{7} x + c\)

From the graph, the y-intercept is 1.

Substituting c= 1 into the equation:

\(y = \frac{3}{7} x + 1\)

Thus, the equation of the line is \(y = \frac{3}{7} x + 1\).

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Answer:

1. In first question I guess the answer will be: last point

There are no mistakes. Answer is correct.

In order to find the height of the cliff to the nearest foot, we must use the trigonometric ratios. The given angle of elevation from the boat on the lake to the top of the cliff is 29.35, and the base of the cliff is 655 feet away.The height of the cliff is approximately 341 feet

Now, we have to find the height of the cliff. We can use the tangent ratio which is defined as follows:tan θ = Opposite Side/Adjacent Sidewhereθ = 29.35 (angle of elevation)Adjacent side = 655 feet (distance from the boat to the base of the cliff)Let's solve for the opposite side which is the height of the cliff.∴ Opposite Side = tan θ × Adjacent Side= tan 29.35° × 655= 341.4 feet. Therefore, the height of the cliff is approximately 341 feet.

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To maximize the prevention of deaths, all 100 doses of the drug should be given to people with genetic marker B. This decision is based on the higher number of lives saved (75) compared to marker A (135) due to the drug's effectiveness.

Let's go through the step-by-step calculation to determine how many of the 100 doses should be given to people with genetic marker B.

Start with the total number of people with disease X: 300.

Divide this number in half to get the number of people with genetic marker A: 300 / 2 = 150.

Similarly, divide the total number by 2 to get the number of people with genetic marker B: 300 / 2 = 150.

Determine the risk reduction for individuals with marker A: 100% - 10% = 90%.

Calculate the number of lives saved by giving the drug to people with marker A: 150 * 90% = 135.

Determine the risk reduction for individuals with marker B: 100% - 50% = 50%.

Calculate the number of lives saved by giving the drug to people with marker B: 150 * 50% = 75.

Since the goal is to prevent as many deaths as possible, allocate all 100 doses to people with genetic marker B, as it saves more lives (75) compared to marker A (135).

Therefore, all 100 doses of the drug should be given to people with genetic marker B to maximize the prevention of deaths.

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Step-by-step explanation:

correct u know jsjsjsjsjajajaj shahha hshshs hsgshs hshshs hshshs hzhsvs hsvzvshsvss hshshs hshshs hshsh hshs

Answer:

2.83 cm

Step-by-step explanation:

The other leg is also 2cm

Pythagorean Theorem

  hypot ^2 = 2^2 + 2^2

  Hypot = sqrt 8 =~ 2.83 cm

Answer:

Step-by-step explanation:

an isosceles triangle where the two legs form a 90-degree angle is an isosceles right triangle. So, the hypotenuse of the triangle is 2√2

When quadrilateral H' is the image of quadrilateral H after a sequence of transformations. If quadrilateral H is congruent to quadrilateral H, the transformations used is

A rigid transformation also known as an isometry, is a type of transformation in mathematics that preserves the size, shape, and orientation of a geometric object. It involves moving or transforming an object without changing its overall structure or measurements.

In other words, the parts remain congruent after transformations.

Rigid transformations include three main types

Dilation is not among and this is present in all other options

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Solution:

Given:

A 52-card deck

There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.

There are 13 diamond cards.

Hence,

Probability is calculated by;

Thus, the probability of drawing a diamond on the first draw is;

Since two draws are made with replacement, the cards are completed back again before the next draw.

Hence, the probability of drawing a diamond on the second draw is;

Therefore, the probability of drawing a diamond each time;

The given variable is a continuous variable.

A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.

In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.

A mercury thermometer was used to take the subject's temperature.

Because of the temperature:

so

Temperature is a continuous variable,

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angle 1 and angle 8 are alternate exterior angles.

option D.

Alternate exterior angles are pairs of angles that are located on opposite sides of a transversal line intersecting two parallel lines, and their values are equal.

These angles are positioned in such a way that they are outside of the two parallel lines, but on opposite sides of the transversal.

For the given diagram, the alternate exterior angles are determined as;

angle 1 and angle 8 are alternate exterior angles.

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Answer:

No

Step-by-step explanation:

the two smaller sides must be greater than the largest side.

\(1+4\neq 9\)

Answer:

True!

Step-by-step explanation:

If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.

Answer: 1 / 12

Step-by-step explanation:

1 / 4 x 1 / 3 = 1 / 12

Answer:

1/12 if you do keep change flip

To calculate the real GDP in 2020 using 2020 as the base year, we need to multiply the quantities produced in 2020 by the prices in 2020.

From the table, we can see that in 2020, the quantity of cameras produced is 20, the quantity of legal services is 100, and the quantity of books is 150.

The corresponding prices for cameras, legal services, and books in 2020 are $50, $200, and $10 respectively.

To calculate the real GDP, we multiply the quantities produced by their corresponding prices:

Real GDP = (Quantity of cameras in 2020 * Price of cameras in 2020) + (Quantity of legal services in 2020 * Price of legal services in 2020) + (Quantity of books in 2020 * Price of books in 2020)

Real GDP = (20 * $50) + (100 * $200) + (150 * $10)

Simplifying the equation:

Real GDP = $1000 + $20,000 + $1500

Real GDP = $22,500

Therefore, the real GDP in 2020, using 2020 as the base year, is $22,500.

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If one of the roots of the quadratic equation 4x²−13x+m=0 is 4, then the value of m is 12 and the other is equal to -3/4. The answer is option(1)

To find the values of m and the other root of the equation, follow these steps:

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Answer:

Step-by-step explanation:

From the question above, we can know the groups of 2 customers that are possible to be chosen to receive a special gift is 1,275 groups.

How to find possibility of combination?

To find possibility of combination like in the question above, we can use  binomial coefficient formula. The binomial coefficient is about two things with two result. The formula of binominal coefficient is  \(\binom{n}k} = \frac{n!}{k! (n - k)!}\)

Anyone of the 51 can be chosen first and any of the remaining 50 can be chosen second. Or in which 2 of the 51 can be chosen ⇒ 51 x 50

But, for any given group of 2, the number of different orders in which they could have been chosen is 2 x 1.

So, the numbers of different combination of 2 chosen from 51 is:

\(\binom{51}2} = \frac{51 x 50}{2 x 1}\)

\(\binom{51}2} = \frac{2,550}{2} = 1,275\)

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The value of integral  ∫ x⁴ (x⁵ - 8) ¹²  is (-1/15) [(x⁵)¹³/13 - 8¹³/13] [1/x³] + C

To evaluate the integral ∫ x⁴ (x⁵ - 8) ¹² dx by making the substitution u= x⁵ – 8, we first need to find the derivative of u. By applying the chain rule, we get du/dx = 5x⁴.

Rearranging, we get dx = du/(5x⁴). Substituting this into the original integral, we get ∫ (u+8)¹² (du/(5x⁴)). Simplifying, we get (1/5) ∫ (u+8)¹² u⁻⁴ du. Using the power rule of integration, we get (1/5) [(u+8)¹³/13] [-u⁻³/3] + C.

Substituting back in for u, we get (1/5) [(x⁵)¹³/13 - 8¹³/13] [-1/(3x³)] + C.

Simplifying, we get (-1/15) [(x⁵)¹³/13 - 8¹³/13] [1/x³] + C as our final answer.

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The theoretical probability of event E, denoted by P(E), is the number of favorable outcomes divided by the total number of possible outcomes.

The theoretical probability of an event E, denoted by P(E), is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given sample space.

In other words, it represents the likelihood of occurrence of event E based on the underlying theoretical assumptions.

Theoretical probability is derived from a theoretical or mathematical model and is based on the assumption that all outcomes in the sample space are equally likely.

It provides a theoretical expectation of the probability of an event occurring under ideal conditions.

To calculate the theoretical probability, we divide the number of favorable outcomes (the outcomes that meet the criteria for event E) by the total number of possible outcomes in the sample space.

This ratio represents the probability of event E occurring.

For example, if we have a fair six-sided die and we want to calculate the theoretical probability of rolling a 3, there is only one favorable outcome (rolling a 3) out of six possible outcomes (numbers 1 to 6).

Therefore, the theoretical probability of rolling a 3 is 1/6 or approximately 0.1667.

It's important to note that theoretical probability assumes ideal conditions and equal likelihood of all outcomes, which may not always reflect the real-world situation.

In practice, empirical probability based on observed frequencies is often used when actual data is available.

In summary, the theoretical probability of event E is the ratio of the number of favorable outcomes to the total number of possible outcomes in the sample space, providing a mathematical estimate of the likelihood of event E occurring.

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Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

Pop: 300 + 1200x (x represents the number of pop music bundles purchased)

Rock: 250 + 950z (z represents the number of rock music bundles purchased)

Answer:

Answered in the other one

Step-by-step explanation:

Answer:

1,2,3,4,5,6,10,12,15,20,60