95 degrees (5x) degrees

The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

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Given the general n th term of the sequence,

For n = 1,

Therefore, the first statement is true.

Now for n = 2,

Therefore, the first two terms of the sequence is -8 and -5.

So, the common difference is,

Therefore, the common difference is 3.

So, the second statement is true.

Now fifth term is for n = 5.

Therefore,

Therefore the fifth term is 4 but not 7.

Hence, the third statement is false.

When a rational number is expressed as a decimal, the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors in the denominator.

For example,

If we consider the fraction 1/7, the decimal representation is 0.142857142857..., and the repeating section has a length of 6 digits. This is because the denominator 7 is a prime number, and there is only one distinct prime factor.

Similarly, for the fraction 1/6, the decimal representation is 0.1666..., and the repeating section has a length of 1 digit. The denominator 6 has two distinct prime factors (2 and 3), but since the prime factor 2 is repeated, it contributes to a repeating section of length 1.

In general, if a rational number can be expressed in the form p/q, where p and q are coprime integers (they have no common factors other than 1), and q has prime factors p1^a1 * p2^a2 * p3^a3 * ..., then the maximum length of the repeating section in the decimal representation is equal to the number of distinct prime factors, which is a1 + a2 + a3 + ...

It's important to note that not all rational numbers have repeating decimal representations. For example, the fraction 1/2 can be expressed as the terminating decimal 0.5.

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Explanation:

Let 'y' be the total charge for the trip and let 'x' be the number of miles.

When the number of miles x is 0, the taxicab charges $5.00, so y = 5 at first.

Then for each mile x they charge $1.50.

The algebraic expression is:

To evaluate the expression for traveling 20 miles, we have to replace x for 20 in the expression above:

Answer:

The expression:

The charge for traveling 20 miles is $35

Serious question or not the answer is zero

Answer:

0

Step-by-step explanation:

One minus one is zero.

Answer:

Start at postive 1 on the y axis put a dot there. From the dot go down 6 and go left 5.

Step-by-step explanation:

6/5=rise over run

1=y-axis

y=mx+b

m=slope

b=y-intersept

Step-by-step explanation:

Hey, there!!

To graph a equation, we must find the coordinates of x and y.

So, as the equation is,

\(y = \frac{6}{5} x + 1\)

Here, the equation is for finding the coordinates of y and x should be supposed. Remember, always suppose the value in equal interval.

Now,

x = 0 1 2 3

y= 1 2.2 3.4 4.6

Here, if you are confused how do i get 1, 2.2,3.4,4.6 as y value, put the value of x such as,

\(y = \frac{6}{5} \times 0 + 1\)

which is equal to 1.

so,in this we got values.

Now,

List coordinates,

(0,1),(1,2.2),(2,3.4),(3,4.6)

Then plot on graph!!!

Hope it helps.....

To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.

A two-sample t-test is used to determine whether or not genuine population means are equal.

The accompanying null hypothesis is usually used in a two-sample t-test:

\(H_0\): The two population averages are equivalent when 1 = 2.

The alternative hypothesis might have two tails, a left or right tail, or none at all:

Two-tailed \(H_1\): μ1 ≠ μ2 Neither of the two population means is equal.

(Left-tailed) \(H_1\): Population 1 mean is lower than population 2 mean by a factor of 1.

\(H_1\) (right-tailed): Populations 1 and 2 have mean values that are higher than each other.

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There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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Comparison or relational operations, such as <, >, =, allow for comparing numbers. They determine if a number is less than, greater than, equal to, or not equal to another number, enabling decision-making and comparisons within arithmetic and programming operations.

When comparing numbers, you can use various relational operators to determine the relationship between them. Here are the commonly used comparison operators:

Less than (<): This operator compares two numbers and returns true if the first number is smaller than the second number. For example, 5 < 10 is true.

Greater than (>): This operator compares two numbers and returns true if the first number is larger than the second number. For example, 10 > 5 is true.

Less than or equal to (<=): This operator compares two numbers and returns true if the first number is smaller than or equal to the second number. For example, 5 <= 5 is true.

Greater than or equal to (>=): This operator compares two numbers and returns true if the first number is larger than or equal to the second number. For example, 10 >= 10 is true.

Equal to (==): This operator compares two numbers and returns true if they are equal. For example, 5 == 5 is true.

Not equal to (!=): This operator compares two numbers and returns true if they are not equal. For example, 5 != 10 is true.

These comparison operators allow you to compare numbers and make decisions based on their relationships within arithmetic or programming operations.

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If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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The given ant can only go up or right here in every turn and as there is a 50% chance for either of

them, therefore each of the paths in 12 moves would be equally likely here.

As for each of the 12 steps here, there are 2 ways that the ant can move, therefore total number of

paths in 12 moves is computed as:

= 2^12 here.

We use the multiplication rule for independent events here to get the total number of outcomes here

by getting the product of the number of outcomes for each of those independent events.

Total number of 12 move paths such that we reach 4, 8 here is computed as the number of

permutation of 12 moves with 4 rights and 8 up points here. This is computed here as:

12!/(8!4!) = 495

Therefore, the probability that the ant is located at (4, 8) here is computed as:

=

495/(2^12)

= 0.1208

Therefore, 0.1208 is the required probability here

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Answer:

Brainleist!

Step-by-step explanation:

first obvious thing is the line is positive

it goes up 3 over 2

so its 3/2

positive = 3/2

Answer:

First, find the function of the line:

Therefore, the function is \(y=\frac{3}{4} x\).

Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be \(y<\frac{3}{4} x\).

If buses arrive at stop at "15-minute" intervals, then the probability that he waits more than 10 minutes for a bus is "1/3".

Let us denote the arrival-time of the passenger by X, where X is uniformly distributed between 7am and 7:30am. hence, the probability-density-function (pdf) of "X" is written as :

f(x) = 1/30, for 7am ≤ x ≤ 7:30am

f(x) = 0, otherwise

We observe that, the passenger will wait for more than 10 minutes for a bus only if he arrives between 7:00 a.m. and 7:05 a.m. , or between 7:15 a.m. and 7:20 a.m.

So, the probability for waiting time can be written as ;

⇒ \(\int\limits^5_0 {\frac{1}{30} } \, dx\) + \(\int\limits^{20}_{15} {\frac{1}{30} } \, dx\),

⇒ (1/30)(5 - 0) + (1/30)(20 - 15);

⇒ 1/3.

Therefore, the required probability is 1/3.

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The given question is incomplete, the complete question is

Buses arrive at a specified stop at 15-minute intervals starting at 7am. If a passenger arrives at the stop at a time that is uniformly distributed between 7am and 7:30am, find the probability that he waits more than 10 minutes.

The best answer is t = 7. Option C

A quadratic equation is simply defined as an equation that could be rearranged in standard form.

It is also described as an algebraic equation having the highest exponent of as 2.

It is so arranged such that;

It is important to note that the three methods of solving quadratic equation are;

From the information given, we have that the form is;

x² = c

Given  t squared minus 49 = 0

First, represent mathematically

t² - 49 = 0

Now, collect like terms, we have;

t² = 49

Take square root of both sides

t = √49

t = 7

Hence, the equation is  t = 7

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Step-by-step explanation:

length = (x-2)

width = x

perimeter = 2 lengths + 2 widths

60 m = (x-2) + (x-2) + x + x

60 m = 4x - 4

64 m = 4x

16 m = x

length = (x-2) = (16-2) = 14 m

width = x = 16 m

Answer:

B. The quotient of the two quantities in the ratio.

The value of integration ∫∫∫fx.v.z(x,y,z)dxdydz = 1∴ k/3 = 1 ⇒ k = 3

Given, the joint pdf of three random variables X, Y, and Z is given by: fx.v.z(x,y,z) = k(2+y+z) 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1

(a) To find k, we need to integrate the joint pdf over the entire range of the random variables: ∫

∫∫fx.v.z(x,y,z)dxdydz = 1

∫∫∫k(2+y+z)dxdydz = 1 [0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

∫∫k(2+y+z)dx[0 ≤ x ≤ 1]

∫k[x(2+y+z)]dy[0 ≤ y ≤ 1]

k[x(2+y+z)y]z[0 ≤ z ≤ 1]

∫∫kx(2+y+z)dydz[0 ≤ x ≤ 1]

∫kx[y(2+z)+yz]dz[0 ≤ y ≤ 1]

kx[yz + (2+z)/2]z[0 ≤ z ≤ 1]

kx[yz^2/2 + z^2/2 + z(2+z)/2][0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

Integrating w.r.t z: kx[y(z^3/3+z^2/2+(2/2)z)][0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

Substituting the limits of integration:

k/3 [0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

k/3 ∫∫[0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

Therefore, ∫∫∫fx.v.z(x,y,z)dxdydz = 1∴ k/3 = 1 ⇒ k = 3

(b) We need to find the marginal pdfs fx(x, y, z) and fz(z, x, y).

fx(x, y, z) = ∫f(x, y, z)dydz[0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

fx(x, y, z) = k ∫(2+y+z)dydz[0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

fx(x, y, z) = k [y(2+y+z)/2 + yz + z^2/2][0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

fx(x, y, z) = 3/2 [y(2+y+z)/2 + yz + z^2/2][0 ≤ y ≤ 1, 0 ≤ z ≤ 1]

fz(z, x, y) = ∫f(x, y, z)dxdy[0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

fz(z, x, y) = k ∫(2+y+z)dxdy[0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

fz(z, x, y) = k [(2+y+z)/2 x + (2+y+z)/2 y + xy][0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

fz(z, x, y) = 3/2 [(2+y+z)/2 x + (2+y+z)/2 y + xy][0 ≤ x ≤ 1, 0 ≤ y ≤ 1]

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Answer:

1

Step-by-step explanation:

6 children that each want to eat half of a chocolate bar (0.5)

6 * 0.5 = 3 - chocolate bars will be eaten

They bought a package of 4 chocolate bars

4 - 3 = 1 - chocolate bar will be left

Answer:

The number of miles she would run in 44 minutes is;

Explanation:

Given that;

Salma runs 6 miles in 55 minutes;

The rate at which she run is;

At the same rate, the distance it will cover in 44 minutes is;

The number of miles she would run in 44 minutes is;

Answer:

45 meters

Step-by-step explanation:

so if i divided 9  by 3 it's 3 meters per sec then i times 15 by 3 equals 45

The rectangular coordinate of \(\mathbf{(4,\pi)}\) is (-4,0)

The polar coordinate is given as:

\(\mathbf{(4,\pi)}\)

To represent the polar coordinates properly, we make use of:

\(\mathbf{(r,\theta) = (4,\pi)}\)

Where r represents radius

The rectangular coordinate is represented as: (x,y)

Where:

\(\mathbf{x = rcos(\theta)}\)

\(\mathbf{y = rsin(\theta)}\)

So, we have:

\(\mathbf{x = 4 \times cos(\pi)}\)

Evaluate cos(pi)

\(\mathbf{x = 4 \times -1}\)

Multiply

\(\mathbf{x = -4}\)

Similarly,

\(\mathbf{y = 4 \times sin(\pi)}\)

Evaluate sin(pi)

\(\mathbf{y = 4 \times 0}\)

Multiply

\(\mathbf{y = 0}\)

Recall that the rectangular coordinate is represented as (x,y)

Hence, the rectangular coordinate of \(\mathbf{(4,\pi)}\) is (-4,0)

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It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

The combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

To construct a 128×8ROM with four 32×8ROM chips and a decoder, the following external connections are necessary:

Step 1: Connect the enable inputs of all the four 32×8ROM chips to the output of the decoder.

Step 2: Connect the output pins of each chip to the output pins of the next consecutive chip. For instance, connect the output pins of the first chip to the input pins of the second chip, and so on.

Step 3: Ensure that the decoder has 2 select lines, which are used to select one of the four chips. Connect the two select lines of the decoder to the two highest-order address bits of the four 32×8ROM chips. This connection will enable the decoder to activate one of the four chips at a time.

Step 4: Connect the lowest-order address bits of the four 32×8ROM chips directly to the lowest-order address bits of the system, such that the address lines A0-A4 connect to each of the four chips. The highest-order address bits are connected to the decoder.Selecting a specific chip by the decoder enables the chip to access the required memory locations.

Thus, the combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

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Here, we have two congruent triangles

Since they are congruent, they have similar and equal angles.

From the diagram, we can see that;

6x - 29 = 115 (They are both topmost angles of both triangles)

Solving this, we have;

6x = 115 + 29

6x = 144

divide both sides by 6

x = 144/6

x = 24°

Furthermore, we can see that;

4z - 32 = 36

4z = 36 + 32

4z = 68

z = 68/4

z = 17°

And lastly;

(3y-1) + 115 + (4z-32) = 180 ( sum of angles in a triangle)

Since z = 17, 4z - 32 will be 4(17)-32 = 68 - 32 = 36

Thus;

3y - 1 + 115 + 36 = 180

3y + 150 = 180

3y = 180 -150

3y = 30

divide both sides by 3

y = 30/3

y = 10°

x = 24° , y = 10° and z = 17°

The vector equation of the line is ⟨x,y,z⟩ = ⟨−5,3,5⟩ + t⟨9,−6,−5⟩.

The parametric equations of the line are x = -5 + 9t, y = 3 - 6t, and z = 5 - 5t.

To find the vector equation and the parametric equations of the line passing through the points (−5,3,5) and (4,−3,0), we first need to determine the direction vector of the line. We can obtain the direction vector by subtracting the coordinates of the first point from the coordinates of the second point.

Direction vector = (4,−3,0) - (−5,3,5) = (4 + 5, −3 − 3, 0 − 5) = (9,−6,−5).

Now that we have the direction vector, we can write the vector equation of the line using the first point (−5,3,5) and the direction vector:

⟨x,y,z⟩ = ⟨−5,3,5⟩ + t⟨9,−6,−5⟩.

This equation represents the line passing through the given points.

To obtain the parametric equations of the line, we can express each coordinate (x, y, z) in terms of a parameter t. Using the direction vector (9,−6,−5), we can set up the parametric equations as follows:

x = -5 + 9t,

y = 3 - 6t,

z = 5 - 5t.

These equations provide a way to represent any point on the line using the parameter t. By plugging in different values of t, we can obtain various points on the line.

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Answer:

x=22

Step-by-step explanation:

7x+6=160.

Lets start by moving 6 over to the other side. We can do this by subtracting 6 from both sides of the equation.

7x+6-6=160-6

7x=154

Now, let's isolate x by getting rid of the 7. The 7 is being multiplied with x, so to get rid of it we have to divide both sides by 7.

7x/7 = 154/7

x=22

Look Below :

Step-by-step explanation:

160 - 6 = 7x

154 = 7x

Or

7x = 154

x = 22

Answer:

LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES

-4

Step-by-step explanation:

Answer:

It's dividing by 3 everytime, so 1/3

Step-by-step explanation: