Alright have posted it now.

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Given -

{(x, y): y = 2x-3)}

To find -

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

\(\:\:\:\:\:\implies\:\:\) {(p, -1): - 1 = 2p - 3}

\(\:\:\:\:\:\implies\:\:\) -1 + 3 = 2p

\(\:\:\:\:\:\implies\:\:\) {2 = 2p}

\(\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}\)

\(\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}\)

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

\(\:\:\:\:\:\implies\:\:\) {(5, q): q = 2(5) - 3}

\(\:\:\:\:\:\implies\:\:\) q = 10 - 3

\(\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}\)

\(\therefore\bf{p=1\:and\:q=7}\)

Answer:

tyuiiiiiittghh gf dssddddddddd

Inaccurate density values can result from various factors such as measurement errors, impurities in the sample, incorrect calculations, or inconsistent experimental conditions.

Density is a physical property that represents the mass of a substance per unit volume. When obtaining density values, it is crucial to ensure accurate measurements of both mass and volume. Any errors in measuring the mass or volume of the sample can lead to inaccurate density calculations. Common sources of measurement errors include using imprecise or faulty measuring instruments, incorrect reading of values, or not properly accounting for the presence of air bubbles or moisture.

Impurities present in the sample can also affect density measurements. If the sample contains contaminants or substances with different densities, the overall density value may be skewed. It is important to ensure that the sample being tested is pure and does not contain any foreign substances that could alter the density.

Moreover, inconsistent experimental conditions such as variations in temperature or pressure can influence the density of a substance. Density is temperature-dependent, and fluctuations in temperature can lead to variations in the density values obtained. It is essential to conduct experiments under controlled conditions to minimize the impact of such variables.

In the case of the cube of butter or margarine in water, the density of butter is lower than that of water. Due to its lower density, the cube of butter will float in water. The density of water is approximately 1 g/cm³, while the density of butter is around 0.9 g/cm³. Since the density of the cube of butter is less than the density of water, it will experience an upward buoyant force greater than its weight, causing it to float.

When drops of a saturated salt solution are added to pure water, the salt solution is denser than water. This is consistent with the fact that a saturated salt solution has a higher density than pure water. The addition of the salt solution increases the overall density of the water, causing the drops to sink. This observation aligns with the principle that objects with higher density than the surrounding medium will sink.

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A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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The score at the 80th percentile is 67.6.

To find the 80th percentile, we need to determine the score that separates the top 20% of the scores from the rest.

The five-number summary gives us the minimum, maximum, median, and quartiles of the distribution. We can use this information to determine the interquartile range (IQR), which is the distance between the first and third quartiles:

IQR = Q3 - Q1 = 76 - 39 = 37

To find the score at the 80th percentile, we need to add 80% of the IQR to Q1:

score at 80th percentile = Q1 + 0.8 × IQR

= 39 + 0.8 × 37

= 67.6

Therefore, the score at the 80th percentile is 67.6.

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The inequality is true, so we can conclude that Nicole can buy at most 2 CDs.

This is a parabola's equation in vertex form, with the vertex located at (4, 12). With the help of this knowledge, we can draw the parabola's graph.

(a) We can substitute \($x=5$\) into the inequality and simplify as follows:

\($9.99(5)+11.95+10 \leq 50$\)

\($49.95+11.95 \leq 50$\)

\($61.90 \leq 50$\)

Since the inequality is not true, we can conclude that Nicole does not have enough money to buy 5 CDs.

(b) To write an inequality that represents the number of CDs Nicole can buy, we can start with:

\($9.99x+11.95+10 \leq 50$\)

Simplifying, we get:

\($9.99x \leq 27.10$\)

\($x \leq \frac{27.10}{9.99} \approx 2.71$\)

Since Nicole cannot buy a fraction of a CD, she can buy at most 2 CDs. To confirm, we can substitute $x=2$ and check if the inequality is true:

\(9.99(2)+11.95+10 \leq 50\\31.93 \leq 50\)

The inequality is true, so we can conclude that Nicole can buy at most 2 CDs.

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Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

To check whether the treatment group has a higher standard deviation for serum retinol concentration than the control group at the 0.025 level of significance, we can perform a two-sample F-test.

Let us assume that the population variances are equal. Null hypothesis: $H_0: \sigma_1^2=\sigma_2^2 $Alternative hypothesis: $H_1: \sigma_1^2 > \sigma_2^2$Level of significance, α = 0.025 The test statistic for the F-test can be calculated as given: F=(s₁²/s₂²) where s₁² and s₂² are the sample variances of the treatment and control groups, respectively. As the sample sizes are large, we can use the F-distribution with the following degrees of freedom (DF) to find the critical value: F(0.025, 62, 62) Using the above information,

let us carry out the F-test: Calculating the sample variances:

s₁² = 16

79² = 281.

88s₂² = 6.76²

= 45.70 F-test value:

F = s₁²/s₂² = 281.88/45.70

= 6.160 We have

n1 = n2

= 63, so

DF1 = n1 - 1

= 62 and

DF2 = n2 - 1

= 62 Degrees of freedom (DF) for the

F-test = (DF1, DF2)

= (62, 62) Critical value: From the F-distribution table,

F(0.025, 62, 62) = 2.324 Therefore, at the 0.025 level of significance, the critical value for the F-test is 2.324. As the calculated value of the F-test (F = 6.160) is greater than the critical value

(F = 2.324), we reject the null hypothesis. Thus, the treatment group has a higher standard deviation for serum retinol concentration than the control group at the 0.025 level of significance.

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Based on the line plot shown below, the amount of cheese that was ordered once is 2 1/4 inches.

The line plot shows the number of times a particular amount of cheese was ordered. Each X on the line represents one order. The amount of cheese is measured in inches.

The line plot shows that there are two orders for 2 inches of cheese, four orders for 2 1/4 inches of cheese, three orders for 2 1/2 inches of cheese, and one order for 2 3/4 inches of cheese.

Since there is only one X above the mark for 2 1/4 inches, we can conclude that this amount of cheese was ordered once. Therefore, the answer is option B, which is 2 1/4 inches.

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Mai has x/3 books if Tyler has x books.

Let's assume that Mai has y books and Tyler has 3 times as many books as Mai, which is given as x = 3y.

Therefore, the number of books that Mai has is given as y = x/3.

We can obtain the number of books Mai has in terms of x since we already know that Tyler has x books.

Tyler's number of books does not directly influence the number of books Mai has;

rather, Tyler's number of books is used to figure out how many books Mai has as per the given problem statement.

Answer:

Mai has x/3 books.

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According to the question The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products \(K_{eq} \ for\ 2AB \rightleftharpoons 2A + 2B \ is\ 49.\)This indicates that the equilibrium position favors formation of products.

The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products in a chemical reaction at equilibrium. In the given reaction,

\(A + B \rightleftharpoons AB, the\ K_{eq}\ is\ 7\).

When considering the reaction \(2AB \rightleftharpoons 2A + 2B\), the stoichiometric coefficients are doubled on both sides. According to the principles of equilibrium, the equilibrium constant for the modified reaction can be obtained by squaring the original \(K_{eq}\).

Therefore, the \(K_{eq}\) for \(2AB \rightleftharpoons 2A + 2B is (K_{eq})^2 = (7)^2 = 49\). This indicates that the equilibrium position favors the formation of products in the double reaction compared to the original reaction.

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The length of the arc whose central angle is 50° is 10.91.

Here, we are given that a circle has a circumference of 25π.

The length of the arc of a circle is given by the following formula-

(∅/360)*2πr

where ∅ is the measure of the angle that the arc subtends at the center and r is the radius of the circle.

Here, we are already given the circumference, thus, 2πr = 25π.

And, the central angle is given to be 50. Thus, ∅ = 50

Now, substituting the values in the above formula we can calculate the length of the arc as follows-

(50/360)*25π

= 5/36 × 25π

= 125/36 × 22/7

= 2,750/ 252

= 10.91

Thus, the length of the arc whose central angle is 50° is 10.91.

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The increase in the coin's value is proportional to its current value, which means it follows an exponential growth pattern.

We can see this by calculating the value of the coin after each decade:

After 1 decade: 550 * 1.1 = 605

After 2 decades: 605 * 1.1 = 665.5

After 3 decades: 665.5 * 1.1 = 732.05

It can see that the value of the coin is increasing at a rate of 10% per decade, which is a characteristic of exponential growth. Therefore, the coin's value follows an exponential pattern.

Therefore, it is increasing and function represent a linear relationship between coins value.

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According to the given figure Mrs Martinez data has greater variability than Mrs Jone's data.

The average may be calculated by dividing the total number of values by the sum of all the numbers. The arithmetic average of a group of two or more data variables is referred to as a mean. Typically, average is referred to as mean or arithmetic mean. The word "mean" is only a way of defining the sample's average.

By adding up each value individually and dividing the result by the total number of observations, the average is obtained. The "middle" value, for which half of such observations are greater and half are less, is used to compute the median.

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Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

To find the coefficient of the last term in the expansion of (3p - 5)^5 using the binomial formula, we need to determine the term with the highest power of p.

The binomial formula states that the coefficient of the k-th term in the expansion of (a + b)^n is given by:

C(n, k) * a^(n-k) * b^k,

where C(n, k) is the binomial coefficient, defined as:

C(n, k) = n! / (k!(n-k)!),

n is the exponent, and k is the term number (starting from 0).

In this case, we have (3p - 5)^5, so a = 3p and b = -5.

The last term occurs when k = n, so k = 5. Plugging these values into the binomial formula, we get:

C(5, 5) * (3p)^(5-5) * (-5)^5,

Simplifying further:

1 * (3p)^0 * (-5)^5,

1 * 1 * (-5)^5,

(-5)^5.

Calculating (-5)^5:

(-5)^5 = -5 * -5 * -5 * -5 * -5,

= -3125.

Therefore, the coefficient of the last term in the expansion of (3p - 5)^5 is -3125.

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It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

2n - 7 = 3n - 3

Step-by-step explanation:

Just count the n's and the (-1)'s

Answer: What do you need help with?

Step-by-step explanation: I don’t understand.

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

\(Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}\)

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

As per the law of cosine, the measure of angle x can be written as,

\(Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o\)

Hence, the value of x is 117.8°. thus, the correct option is A.

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Answer:

364m^2

Step-by-step explanation:

Surface area is calculated by adding the area of each face.

Because this is a cubiod, there are 6 sides in pairs of identical area.

4m × 5m = 20m^2

4m × 18m = 72m^2

5m × 18m = 90m^2

90m^2 +72m^2 +20m^2 = 182m^2

This is 3 faces of the 6, so double it.

182m^2 ×2 = 364m^2

The sample's standard deviation is equal to 12. Thus, choice B is the right choice.

The variance of a sample of 144 observations equals 576.

Variance S² = 144

The standard deviation is a measure of how spread out a set of data is. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The standard deviation can be used to measure the amount of variation or dispersion of a set of data values from the mean.

Standard Deviation = √Variance

Standard Deviation = √144

Standard Deviation = 12

The standard deviation of the sample equals 12. So the option B is correct.

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The complete question is:

The variance of a sample of 144 observations equals 576. The standard deviation of the sample equals:

A. 441

B. 12

C. 63,504

D. 21

Answer:

B

y int is 1, so we know it is +1

Slope is -2/3 :)

The volume of the composite solid is equal to 260000π cubic units.

In this problem we find a composite solid, whose volume is determined by adding and subtracting regular solids:

Hemisphere

V = (2π / 3) · R³

Cylinder

V = π · r² · h

Where:

Now we proceed to determine the volume of the solid is:

V = (2π / 3) · 60³ + π · 60² · 50 - π · 40² · 40

V = 260000π

The entire shape has a volume of 260000π cubic units.

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Answer:

The answer is C. The slope is 3 and y-intercept is (0,-1(

The interaction described is that of the geosphere interacting with the atmosphere.

The geosphere refers to all the rock and mineral materials that we have on our planet including:

The atmosphere is the air that surrounds the Earth including gases like Nitrogen and Oxygen.

When a volcano erupts therefore, it is releasing rock (geosphere) into the air (atmosphere).

As a result, we can conclude that a volcano erupting is an interaction between the geosphere and the atmosphere.

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Answer: C

Step-by-step explanation:

the geosphere interacting with the hydrosphere

According to the information provided, Jose's medically ideal weight is 250 pounds. Therefore, he would be considered to be obese when and if he weighed 300 pounds or more.

This means that the correct answer to the question is option b) 300.

It is important to note that obesity is typically defined as having a body mass index (BMI) of 30 or higher. BMI is calculated by dividing a person's weight in kilograms by their height in meters squared. A person's medically ideal weight is the weight that is considered healthy for their height and age.

BMI = (weight)/(maters squared)²

So, in summary, Jose would be considered to be obese when and if he weighed 300 pounds or more, as this would likely result in a BMI of 30 or higher, indicating obesity.

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