what is 9x-7i > 3(3x-7u)

Answer:

Step-by-step explanation:

The solutions to the systems of linear equations by elimination method are listed below:

In this problem we find four cases of two linear equations with two variables. There are different methods to solve the system, herein we must use elimination method to find the solution to each system of linear equations, which takes advantage of adding / subtracting linear equations and multiplying linear equations by scalars in order to get every solution set.

Case 1

x - y = 1

x + y = 3

First, add the two equations:

(x - y) + (x + y) = 1 + 3

2 · x = 4

x = 2

Second, determine the variable y:

y = 3 - x

y = 3 - 2

y = 1

Point (x, y) = (2, 1) is a solution of the system of equations.

Case 2

x + y = 1

x + y = 11

Subtract the second equation from the first one:

(x + y) - (x + y) = 1 - 11

0 = - 10 (CRASH!)

The system of linear equations has no solution.

Case 3

x + 4 · y = 11

x - 6 · y = 11

First, subtract the second equation from the first equation:

(x + 4 · y) - (x - 6 · y) = 11 - 11

10 · y = 0

y = 0

Second, determine the variable y:

x = 11 + 6 · y

x = 11 + 6 · 0

x = 11 + 0

x = 11

Point (x, y) = (0, 11) is a solution of the system of equations.

Case 4

- 3 · x + 3 · y = 6

x + 3 · y = 18

First, subtract the second equation from the first equation:

(- 3 · x + 3 · y) - (x + 3 · y) = 6 - 18

- 4 · x = - 12

x = 3

Second, determine the variable y:

3 · y = 18 - x

3 · y = 18 - 3

3 · y = 15

y = 5

Point (x, y) = (3, 5) is a solution of the system of equations.

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To arrive at this answer, we can substitute x=7 into the given function, f(x), and simplify:

f(7) = (7)^5 - 47(7)^3 - 16(7)^2 + 8(7) + 52

f(7) = 16,807 - 105,413 - 784 + 56 + 52

f(7) = -88,282

Therefore, the main answer is -4,648.

we used the given function and substituted x=7 into it to find the value of f(x) at that specific point. We simplified the expression by using the order of operations (PEMDAS) and combined like terms. The resulting value gave us the answer we were looking for.

by plugging in x=7 into the function f(x) = x^5 - 47x^3 - 16x^2 + 8x + 52, we found that f(7) = -88,282. Therefore, the main answer is -4,648.

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\(f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0\)

We can answer the two questions by relying on our knowledge of how to solve equations, showing how both strategies are efficient, and finding x.

a. Both strategies will work and lead to the same solution. It's just a matter of personal preference which one to use. However, subtracting 7 from both sides may be more efficient in this case because it eliminates the need for an extra step of adding 5 to both sides.

b. TStarting with 7 = 3x - 5, we can add 5 to both sides to get:

7 + 5 = 3x - 5 + 5

12 = 3x

12/3 = 3x/3

4 = x

To solve an equation, you need to find the value of the variable that makes the equation true. The following steps can be used to solve most equations:

It's important to remember that whatever you do to one side of the equation, you must also do to the other side to maintain the equality. Additionally, if the equation has parentheses, use the distributive property to simplify the expression inside the parentheses.

Some equations may have special cases, such as quadratic equations or equations with absolute values. These types of equations may require additional steps and methods to solve.

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a) P(Z<1.02) = 0.8461

b) P(Z>1.98) = 0.0239

c) P(Z>-1.26) = 0.8962

d) P(Z>-1.52) = 0.9357

e) P(Z<0.38) = 0.6497

f) P(Z<-0.91) = 0.1814

g) P(Z<-1.97) = 0.0242

h) P(Z<0) = 0.5

The standard normal distribution is a probability distribution that has a mean of 0 and a standard deviation of 1. It is commonly denoted as Z, and its values represent the number of standard deviations away from the mean.

In part (a), we are asked to find the probability that a random variable from the standard normal distribution is less than 1.02 standard deviations away from the mean. Using a standard normal distribution table or calculator, we find that this probability is 0.8461.

In part (b), we are asked to find the probability that a random variable from the standard normal distribution is greater than 1.98 standard deviations away from the mean. This can be rephrased as finding the probability that a random variable is less than -1.98 standard deviations away from the mean. Again, using a standard normal distribution table or calculator, we find that this probability is 0.0239.

In part (c), we are asked to find the probability that a random variable is greater than -1.26 standard deviations away from the mean. This can be rephrased as finding the probability that a random variable is less than 1.26 standard deviations away from the mean. Using a standard normal distribution table or calculator, we find that this probability is 0.8962.

In part (d), we are asked to find the probability that a random variable is greater than -1.52 standard deviations away from the mean. This can be rephrased as finding the probability that a random variable is less than 1.52 standard deviations away from the mean. Using a standard normal distribution table or calculator, we find that this probability is 0.9357.

In part (e), there seems to be some missing inputs or instructions. If we assume that the question is asking for the probability that a random variable is less than 0.38 standard deviations away from the mean, then using a standard normal distribution table or calculator, we find that this probability is 0.6497.

In part (f), there also seems to be some missing inputs or instructions. If we assume that the question is asking for the probability that a random variable is less than -0.91 standard deviations away from the mean, then using a standard normal distribution table or calculator, we find that this probability is 0.1814.

In part (g), we are asked to find the probability that a random variable is less than -1.97 standard deviations away from the mean. Using a standard normal distribution table or calculator, we find that this probability is 0.0242.

In part (h), we are asked to find the probability that a random variable is less than 0 standard deviations away from the mean, which is simply the probability of getting a value between negative and positive infinity. This probability is equal to 0.5.

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Inequalities are used to represent unequal expressions

The solution to the inequality is: \(sh > 6\)

The inequality is given as:

\(2 > 8 - sh\)

Subtract 8 from both sides

\(-6 > - sh\)

Multiply both sides by -1

\(6 < sh\)

Rewrite the inequality as:

\(sh > 6\)

Hence, the solution to the inequality is: \(sh > 6\)

See attachment for the graph of the inequality

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When two events are independent of each other, you can find the probability that both events occur at the same time (the intersection) by multiplying the probabilities of the individual events is True

This is known as the multiplication rule for independent events. The multiplication rule for independent events states that if A and B are independent events, then the probability of both A and B occurring is:

P(A and B) = P(A) * P(B)

So, if you know the probabilities of the individual events, you can use this formula to find the probability of both events occurring at the same time.

For example, if the probability of event A is 0.3 and the probability of event B is 0.4, then the probability of both events occurring at the same time is:

P(A and B) = 0.3 * 0.4 = 0.12

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Answer:

1. 24.36

2. Do the same thing (follow the steps in the picture)

Step-by-step explanation:

Answer:

5 inches : 6 inches

Step-by-step explanation:

20 inches : 2 feet

Use Hint: 1 feet = 12 inches

20 inches : 2·12 = 24 inches

Find the simplest form of 20 inches : 24 inches

20 inches : 24 inches , divide both numbers by 2

10 inches : 12 inches, divide both numbers by 2 again

5 inches : 6 inches

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

Answer:

Let's actually find the line of best fit...

m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)

m=(11*836-130*55)/(11*385-3025)

m=2046/1210  

m=93/55

b=(Σy-93Σx/55)/n

b=(55Σy-93Σx)/(55n)

b=(7150-5115)/(55*11)

b=185/55, so the line of best fit is:

y=(93x+185)/55

A)  The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.

Which means that those who do not practice at all will win about 3.36 times

B) y(13)=(93x+185)/55

y(13)≈25.34

So after 13 months of practice one would expect to win about 25.34 times.

The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.

It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!

The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:

1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.

By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.

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Answer:

15

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

X is -7. :)

Hope that helped :)

Answer:

14

Step-by-step explanation:

16H = 208

H = 208 / 16

H = 14

Answer:

13

Step-by-step explanation:

To get the answer, you have to divide 16 on both sides:

16H ÷ 16 = 208 ÷ 16

H = 13

The value of x from the right triangle is x = 3√11

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDBC

Now , BD is perpendicular to AC

So , the triangles ΔABC and ΔDBC are similar

The measure of BD = x

The measure of AD = 9

The measure of DC = 20

Now , AD / AB = AB / DC

Substituting the values in the equation , we get

9/a = a/20

On simplifying the equation , we get

a² = 180

So , a = 3√20

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Now , the measure of x = √ ( 3√20 )² - ( 9 )²

So , the measure of x = √ ( ( 180 ) - 81 )

The measure of x = √ 99

The measure of x = 3√11

Hence , the measure of x of triangle is 3√11

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The series [infinity] xn n! n = 0 converges for all real values of x.

The given series [infinity] xn n! n = 0 is a power series with terms xn n! n. To determine the values of x for which the series converges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's apply the ratio test to the given series:

lim┬(n→∞)⁡〖|(x(n+1)(n+1)!)/(xn n!)|〗

Simplifying the expression:

lim┬(n→∞)⁡〖|(x(n+1))/(xn)| * 1/(n+1)|〗

As n approaches infinity, the ratio x(n+1)/xn approaches x/x = 1. Additionally, the term 1/(n+1) approaches 0. Therefore, the limit simplifies to:

lim┬(n→∞)⁡〖|1 * 0| = 0|〗

Since the limit is less than 1, the ratio test confirms that the given series converges for all real values of x.

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Yes

Step-by-step explanation:

its a direct-variation function

Answer:

It is 9 students.

Step-by-step explanation:

You times 15 students and 60% and you get 9 students.

At t = 0 seconds, the angular position of the swinging door is 5.07 radians. The angular speed is 10.9 rad/s, and the angular acceleration is 3.9 rad/s².. The angular speed is 35.079 rad/s, and the angular acceleration is 3.9 rad/s².

To determine the angular position, angular speed, and angular acceleration at different times, we can differentiate the given equation with respect to time. Given that theta = 5.07 + 10.9t + 1.95t^2, we can differentiate it to find the angular speed (omega) and angular acceleration (alpha).

Differentiating theta with respect to time gives us the angular speed:

omega = d(theta)/dt = d/dt(5.07 + 10.9t + 1.95t^2) = 10.9 + 3.9t

Differentiating omega with respect to time gives us the angular acceleration:

alpha = d(omega)/dt = d/dt(10.9 + 3.9t) = 3.9

Now, let's calculate the values at the given times:

At t = 0 seconds:

- The angular position (theta) is given by the equation: theta = 5.07 + 10.9t + 1.95t^2

 Substituting t = 0, we get: theta = 5.07 + 10.9(0) + 1.95(0)^2 = 5.07 radians.

- The angular speed (omega) is given by: omega = 10.9 + 3.9t

 Substituting t = 0, we get: omega = 10.9 + 3.9(0) = 10.9 rad/s.

- The angular acceleration (alpha) is a constant value of 3.9 rad/s².

At t = 2.93 seconds:

- The angular position (theta) is given by the equation: theta = 5.07 + 10.9t + 1.95t^2

 Substituting t = 2.93, we get: theta = 5.07 + 10.9(2.93) + 1.95(2.93)^2 ≈ 54.947 radians.

- The angular speed (omega) is given by: omega = 10.9 + 3.9t

 Substituting t = 2.93, we get: omega = 10.9 + 3.9(2.93) ≈ 35.079 rad/s.

- The angular acceleration (alpha) is a constant value of 3.9 rad/s².

Therefore, at t = 0 seconds, the angular position is 5.07 radians, the angular speed is 10.9 rad/s, and the angular acceleration is 3.9 rad/s². At t = 2.93 seconds, the angular position is 54.947 radians, the angular speed is 35.079 rad/s, and the angular acceleration remains 3.9 rad/s².

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Answer:

7 and one-half feet squared

Step-by-step explanation:

3 x 2.5 = 7.5

Answer: She will use 6 cans of pinto beans .

She will use 6 cans of kidney beans.

Step-by-step explanation:

As per given,

For bean salad : lima beans : pinto beans : kidney beans

= 3:2:2

Let quantity of lima beans = 3x, pinto beans 2x , kidney beans 2x.

if she use 9 cans of lima beans, then

3x=9

⇒x=9

Now, 2x= 2 x 3 =6

Thus , she will use 6 cans of pinto beans and 6 cans of kidney beans.

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

The distance between the two locations is 7.81 miles

Given the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.

The distance between the two locations will be determined using the formula

D \(=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute the given coordinate into the formula

\(D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles\)

Hence the distance between the two locations is 7.81 miles

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To draw the Hasse Diagram for the subset relation on the power set P(X), we start by listing all the elements of P(X). In this case, P(X) consists of the empty set {}, the singleton sets {2}, {3}, {4}, and the sets {2,3}, {3, 4}, {2, 4}, {2, 3, 4}.

Next, we draw a vertex for each set in P(X). We then draw a directed line from set A to set B if A is a subset of B. In other words, if A ⊆ B.

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Answer:

5,9,13,17,21

Step-by-step explanation:

We can the values in "n"

a(1)=4(1)+1

a(1)=5

a(2)=4(2)+1

a(2)=9

a(3)=4(3)+1

a(3)=13

a(4)=4(4)+1

a(4)=17

a(5)=4(5)+1

a(5)=21

As you can see, each value consecutively increases by 4, this is also known as the common difference (d).

Answer:

not sure if this is correct but i tried (1267200 feet)

Answer:

21120 ft

Step-by-step explanation:

We need to change 8 miles per hour to feet per minute

8 miles      5280 ft      1 hour

----------- * ----------      * ----------

hour          1 mile          60 minutes

704 ft/ minute

Now multiply by 30 minutes

704 ft / minute * 30 minutes =21120 ft

Option A is the correct answer.

For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.

The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.

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