Which is the slope of the line that passes through the points (−3,1) and (4,−2)?


CLEAR CHECK

slope =−3

slope =−37

slope =12

slope =−73

Adding too much MgSO4 could lead to an overestimation of the mass of the sample. This could cause the results to be inaccurate, as the sample would be heavier than it actually is.

Additionally, if MgSO4 is present in the sample, it could interfere with the results of the experiment and lead to incorrect measurements.

1. Adding too much MgSO4 could lead to an overestimation of the mass of the sample. This is because MgSO4 is heavier than the sample and adding too much could increase the total mass of the sample.

2. This could cause the results to be inaccurate, as the sample would be heavier than it actually is. This means that the measurements taken during the experiment might not be reflective of the actual mass of the sample.

3. Additionally, if MgSO4 is present in the sample, it could interfere with the results of the experiment and lead to incorrect measurements. MgSO4 can act as a catalyst or interfere with the reaction, leading to inaccurate results.

Adding too much MgSO4 could lead to an overestimation of the mass of the sample, causing inaccurate results. This is because MgSO4 is heavier than the sample and adding too much could increase the total mass of the sample. Additionally, if MgSO4 is present in the sample, it could interfere with the reaction and lead to incorrect measurements. This could lead to inaccurate results, as the measurements taken during the experiment might not be reflective of the actual mass of the sample. Therefore, adding too much MgSO4 can impact the results of the experiment, leading to incorrect measurements and inaccurate results.

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The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

Answer:

a. The probability that a particular student arrives by car is \(\frac{1}{20}\) = 0.05, which equals 5%.

b. The probability that a particular student walks to school is \(\frac{3}{10}\) = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is \(\frac{7}{10}\) = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is \(\frac{13}{20}\) = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

\(P(A)=\frac{number of favorable cases}{number of possible cases}\)

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: \(P(A)=\frac{16}{320}\)

P(A)=\(\frac{1}{20}\) = 0.05, which equals 5%

The probability that a particular student arrives by car is \(\frac{1}{20}\) = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: \(P(A)=\frac{96}{320}\)

P(A)=\(\frac{3}{10}\) = 0.3, which equals 30%

The probability that a particular student walks to school is \(\frac{3}{10}\) = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: \(P(A)=\frac{224}{320}\)

P(A)=\(\frac{7}{10}\) = 0.7, which equals 70%

The probability that a particular student does not walk to school is \(\frac{7}{10}\) = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: \(P(A)=\frac{208}{320}\)

P(A)=\(\frac{13}{20}\) = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is \(\frac{13}{20}\) = 0.65, which equals 65%.

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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Answer:307.2222 or just 307

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

5 - 2(x + 2)

Since parenthesis comes first in PEMDAS, distribute 2

5 - 2x - 4 = 1 - 2x

Answer:

m < -6

Step-by-step explanation:

-5m - 6 > 24

-5m > 30

m < -6 (you flip the sign when you divide by a negative)

Answer:

m>-6

Step-by-step explanation:

-5m-6>24

+6 +6

-5m=30

then devide the -5 on both sides

30÷-5 is -6

so that gives you m>-6

Hope this helps

A researcher obtains z = -6.45. The decision for a one-tailed test, upper-tail critical, at a .05 level of significance to retain the null hypothesis, option B.

Now, determining the critical value for the one-tailed test, upper-tail critical, at a .05 level of significance. Using a z-table, we find that the critical value for a one-tailed test at the .05 level of significance is 1.645.
Then, compare the obtained z-value to the critical value. In this case, the obtained z-value is -6.45, and the critical value is 1.645.
Further, making a decision based on the comparison. Since the obtained z-value (-6.45) is less than the critical value (1.645), we fail to reject the null hypothesis.
Therefore, the correct option is B) to retain the null hypothesis.

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

64 and there is an appcalled photo math give u the answer

\(\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}\)

\(\Huge \textsf{Step-by-step explanation}\)

\(\LARGE \bold{\textsf{Step 1: Assign Variables}}\)

\(\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}\)

\(\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}\)

\(\large \bold{ \textsf{From the problem, we know that:}}\)

\(\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}\)

\(\large \bold{ \textsf{We can use this information to write two equations:}}\)

\(\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}\)

\(\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}\)

\(\LARGE \bold{\textsf{Step 3: Solve the system of equations}}\)

\(\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}\)

\(\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}\)

\(\large \textsf{Simplifying this expression gives us:}\)

\(\textsf{10\textit{p} + 10 = 260}\)

\(\large \textsf{Subtracting 10 from both sides:}\)

\(\textsf{10\textit{p} = 250}\)

\(\large \textsf{Dividing both sides by 10}\)

\(\textsf{\textit{p} = 25}\)

\(\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}\)

\(\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}\)

\(\large \textsf{So, 25 pizzas and 80 sodas were sold.}\)

----------------------------------------------------------------------------------------------------------

The result obtained from the calculator should be approximately equal to 1.663, confirming our evaluation of the definite integral.

The definite integral is evaluated as follows:

First, we can use the substitution u = 7x + 1, du/dx = 7, and dx = du/7 to transform the integral into:

∫[7(0)+1]^[7(4)+1] 9/u du/7

= (9/7)ln|7x+1| [from 0 to 4]

= (9/7)ln(29) - (9/7)ln(7)

≈ 1.663

Using a graphing utility to verify this result, we can plot the function f(x) = 9/(7x + 1) over the interval [0, 4] and use the calculator's numerical integration feature to find the area under the curve. The result obtained from the calculator should be approximately equal to 1.663, confirming our evaluation of the definite integral.

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Answer:

its c

Step-by-step explanation:

trust me

Answer:

c

Step-by-step explanation:

The 87% confidence interval for the population proportion of drivers who claim to always buckle up is approximately 0.73 to 0.81.

To determine the Z-score for an 87% confidence level, we need to find the critical value associated with that confidence level. We can consult a Z-table or use a statistical calculator to find that the Z-score for an 87% confidence level is approximately 1.563.

Now, we can substitute the values into the formula to calculate the confidence interval:

CI = 0.768 ± 1.563 * √(0.768 * (1 - 0.768) / 382)

Calculating the expression inside the square root:

√(0.768 * (1 - 0.768) / 382) ≈ 0.024 (rounded to three decimal places)

Substituting the values:

CI = 0.768 ± 1.563 * 0.024

Calculating the multiplication:

1.563 * 0.024 ≈ 0.038 (rounded to three decimal places)

Substituting the result:

CI = 0.768 ± 0.038

Simplifying:

CI ≈ (0.73, 0.81)

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In the formulation of a mathematical model for an evaporator, the following are five key assumptions:

1. Constant volume and density of the system.

2. Evaporation takes place only from the surface of the liquid.

3. The transfer of heat takes place only through conduction.

4. The heat transfer coefficient does not change with time.

5. The properties of the liquid are constant throughout the system.

Derivation of the total mass balance equation:

The total mass balance equation relates the rate of mass flow of material entering a system to the rate of mass flow leaving the system.

It is given by:

Rate of Mass Flow In - Rate of Mass Flow Out = Rate of Accumulation

Assuming that the evaporator operates under steady-state conditions, the rate of accumulation of mass is zero.

Hence, the mass balance equation reduces to:

Rate of Mass Flow In = Rate of Mass Flow Out

Let's assume that the mass flow rate of the feed stream is represented by m1 and the mass flow rate of the product stream is represented by m₂.

Therefore, the mass balance equation for the evaporator becomes:

m₁ = m₂ + me

Where me is the mass of water that has been evaporated. This equation is useful in determining the amount of water evaporated from the system.

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Step-by-step explanation:

y=x+1

y= -½x -8

x+1= -½x -8

1½x= -9

x = -9/ 1½

x = -6

y = -6+1 = -5

the solution (-6, -5)

Cavalieri's principle states that if two figures have the same height and the same cross-sectional area at every point along with that height, they have the same volume.

Then, we can apply Cavalieri's principle to show A and B have the same volume.

Answer:

D. 98.3

Step-by-step explanation:

10.88 - 10.88 would be 0 lol so 98.3 is left

Hope this helps dude ^-^

The volume of the ring-shaped solid that remains is given by V_remaining = 904.32 - 4πh. This answer is in terms of h since the height of the cylindrical hole is unknown.

To find the volume of the ring-shaped solid that remains after a cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6, we can use the formula for the volume of a sphere and the volume of a cylinder.

The volume of a sphere of radius r is given by:V_sphere = 4/3πr³The volume of a cylinder of radius r and height h is given by:V_cylinder = πr²hSince the drill has a radius of 2, it has a volume of:V_drill = π(2²)(h) = 4πhSince the sphere has a radius of 6, it has a volume of:V_sphere = 4/3π(6)³ = 4/3π216 = 904.32The volume of the solid that remains is equal to the volume of the sphere minus the volume of the drill:V_remaining = V_sphere - V_drill = 904.32 - 4πh

We don't know the height of the cylindrical hole, so we can express the volume of the remaining solid in terms of h. The cylindrical hole has a volume of V_drill = 4πh, so the remaining solid has a volume of:V_remaining = 904.32 - 4πhTherefore, the volume of the ring-shaped solid that remains is given by V_remaining = 904.32 - 4πh. This answer is in terms of h since the height of the cylindrical hole is unknown.

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Answer:

orthocentre

Step-by-step explanation:

this is the answer to your question

Answer:

x = √(5)

Step-by-step explanation:

Step 1: Take square root of both sides.

Therefore, x = √(5).

Answer: -2-2 radical42 over 15

Step-by-step explanation

The peak is located at R=1 according to a power curve analysis. To put it another way, the load and source resistance must match.

The ski area's name needs to be changed first. Squaw is not a kind way to refer to a woman. It is an expression that refers to female genitalia. (a decent slang equivalent in English begins with "c" and rhymes with "runt") During my time as a teacher in an Indian school, I learned this in a very embarrassing manner.

If we suppose that each person weighs roughly 70 kilograms (154 lbs) on Earth, then the power required to simply raise the people is P = W/t, and since W = mgh in this situation, P = W/t = mgh/t = (47,000 people)(70 kg/person).

(2 MW) = (1791222.222 W)(9.8 N/kg)(200 m)/(3600 s).

The complete question is:

Squaw Valley ski area in California claims that its lifts can move 47,000 people per hour.  If the average lift carries people about 200 m (vertically) higher, estimate the maximum total power needed.

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Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

160 = 16 * 10 =  4 * 4 * 2 * 5 = 2 * 2 * 2 * 2 * 2 *5

\(-4\sqrt{160} = -4\sqrt{2*2*2*2*2*5}\\\\= -4*2*2\sqrt{2*5}\\\\= -16\sqrt{10}\)

Answer:

i just need points

Step-by-step explanation:

Given that G is a finite group of order pnk, where k < p, we can use the Sylow Theorems to show that G must contain a normal subgroup.

According to the Sylow Theorems, there must exist a Sylow p-subgroup P of G, where P has order p^n. The number of Sylow p-subgroups in G, denoted by n_p, satisfies the following properties:
1. n_p divides the index [G : P], which is equal to the order of G divided by the order of P, i.e., n_p | (pnk / p^n) = pk.
2. n_p is congruent to 1 modulo p, i.e., n_p ≡ 1 (mod p).

Since k < p, it follows that n_p = 1 (because it must divide pk and be congruent to 1 modulo p). Thus, there is only one Sylow p-subgroup in G, which must be P. When there is only one Sylow p-subgroup, it is necessarily a normal subgroup of G. Therefore, G contains a normal subgroup, P.

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Answer:

Hope it helps

Step-by-step explanation:

1: B

2: B

3: D

4: C

5: A

The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.

a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%

b) Probability that only one of them will be audited:

c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%

d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.

The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.

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Answer:

k ≤ 7

Step-by-step explanation: