Find the value of f(7)

Answer:

3/4

Step-by-step explanation:

Step-by-step explanation:

S = v/t

(x+2)km/h

((x+2)×1000)/(60×60) = (15×1000)/(60×60)

(5(x+2)/18) = 25/6

30(x+2) = 18×25

x+2 = 15

x = 13m/s

It is TRUE that You can use the following formula to determine how far two points (x₁, y₁) and (x₂, y₂) are apart: \(Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

This equation is based on the Pythagorean theorem, which states that the distance between any two points is equal to the hypotenuse of a right triangle, whose legs are equal to the angles between the two points' x and y coordinates.

Simply enter the coordinates of the two spots into the formula to utilize it:

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

For instance, if the two points are (2, 3) and (5, 7), then the distance between them is: \(Distance= \sqrt{(5 - 2)^2 + (7 - 3)^2} = \sqrt{(3^2 + 4^2)} = \{sqrt(9 + 16)} = \sqrt25 = 5\)

So, the distance between the two points is 5 units.

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The actual question is:

True, or False

Assign points Distance with the distance between point (x₁, y₁) and point (x₂, y₂). The distance is calculated by:

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

Answer:

Happy Saint Patricks day

Answer:

The value of x is 70°

Step-by-step explanation:

Lines and Angles

We need to find the value of x that makes lines n and m parallel.

Please refer to the image below where we have added new variables to the original drawing.

If n and m were parallel, then:

y and 30° are corresponding angles, having the same measure.

w and 80° are vertical angles, having the same measure.

If the two above conditions are met, then the triangle has the angles y, w, and x. Since the sum of all internal angles of a triangle is 180°:

x + y + w = 180°

Substituting:

x + 30° + 80° = 180°

Solving for x:

x = 180° - 30° - 80°

x = 70°

The value of x is 70°

The common approximation when X is near zero is sin(x) ~ x.  The maximum error in the approximation using n =2 is:

Sin(0.4) is approximately 0.4 with a maximum error of 0.0010667.

Sin(0.7) is approximately 0.7 with a maximum error of 0.11765.

1. For x = 0.4, sin(0.4) ~ 0.4.

The maximum error in the approximation using n = 2 is given by the Taylor remainder term with x = 0.4 and n = 2:

|R2(0.4)| <= (0.4)^3 / 3! * |cos(c)|, where c is between 0 and 0.4.

The maximum value of |cos(c)| is 1, so we have:

|R2(0.4)| <= (0.4)^3 / 3! = 0.0010667

Therefore, sin(0.4) is approximately 0.4 with a maximum error of 0.0010667.

2. For x = 0.7, sin(0.7) ~ 0.7:

The maximum error in the approximation using n = 2 is given by:

|R2(0.7)| <= (0.7)^3 / 3! * |cos(c)|, where c is between 0 and 0.7.

The maximum value of |cos(c)| is 1, so we have:

|R2(0.7)| <= (0.7)^3 / 3! = 0.11765

Therefore, sin(0.7) is approximately 0.7 with a maximum error of 0.11765.

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Answer:

x= 17

Step-by-step explanation:

Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.

90 - 39= 51

since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.

The values of the probability from spinning the spinner and rolling the cube are;

Probability is a measure of the liklihood that an event will occur. The probability of an event = Number of times the event occurs ÷ Sum of the frequencies of all possible events.

Numbers on the spinner are; 1, 2, 3, 4, and 5

Numbers in the number cube = 1, 2, 3, 4, 5, and 6

The probability of an event = The number of required outcomes ÷ The number of possible outcomes

The possible even numbers on the spinner = 2, and 4

The number of even numbers in the spinner = 2

The number of possible numbers on the spinner = 5

The ratio of the number of even numbers to the number of possible numbers, which is the probability of spinning an even number, therefore is; P(E) = 2/5

The number of 5s on the cube = 1

The number of possible numbers on the cube = 6

The probability of rolling a 5 on the number cube is therefore, p(5) = 1/6

The probability of landing on an even number and rolling a 5, P(E) × P(5) is therefore;

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Answer:

Probability of spinner landing on an even number-2,5

Probability of rolling a 5

on number cube-1,6

Probability of spinner landing on an even number and rolling a 5-1,15

Step-by-step explanation:

bc

Answer:

I think the answer for this is A.

Step-by-step explanation:

since 25$ is added to get the everyday cost.

The value of w that will make the expression true is 1

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given the equation in question expressed as;

w - 4 = -3

We are to determine the value of w from the expression

Adding 4 to both sides will give;

w - 4 + 4 = -3 + 4

w = -3+ 4

Simplify to have;

w = 1

Hence the value of w that will make the expression true is 1

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The coordinates of the point A' will be (5, 3) after Reflection and Translation.

Translation is the process of changing the position of the image point on a coordinate plane.

In the given situation, we have been given a point A(1, -3). We have to

create an image point A' by reflecting and translating it to four unit points to the right. Also, the image is reflected using the x-axis which means the coordinates will be reflected in form of (x, -y).

So, putting values of A in (x, -y) we get reflected image points : (1, 3)

Now, for translating the image four units to right we need to add 4 to the x coordinate of the point to get coordinates of A'

    => A' = (1 + 4, 3)   => A' = (5, 3)

The coordinates of A' are (5, 3)

Hence, after Reflection and Translation of A we get image A' with the coordinates A'(5, 3)

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The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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Answer:

9 momths =270 days

Step-by-step explanation:

9 month *30=270 days

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

To determine if a function is linear, we need to verify if it satisfies the linearity property, which states that for any x and y in the domain of the function and any scalars α and β, the function should satisfy f(αx + βy) = αf(x) + βf(y).

Let's examine each function and determine if it is linear:

f(x) = 3x - 2

To check linearity, we need to verify if f(αx + βy) = αf(x) + βf(y). Let's substitute the values:

f(αx + βy) = 3(αx + βy) - 2

= 3αx + 3βy - 2

On the other hand:

αf(x) + βf(y) = α(3x - 2) + β(3y - 2)

= 3αx - 2α + 3βy - 2β

Comparing the two expressions, we can see that they are not equal, so the function f(x) = 3x - 2 is not linear.

f(x) = 2x²

Using the same logic, let's check linearity:

f(αx + βy) = 2(αx + βy)²

= 2(α²x² + 2αβxy + β²y²)

= 2α²x² + 4αβxy + 2β²y²

On the other hand:

αf(x) + βf(y) = α(2x²) + β(2y²)

= 2αx² + 2βy²

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

In conclusion, neither of the given functions is linear since they do not satisfy the linearity property.

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Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

(A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which means "corner."

Two lines that meet at the same point or two planes that meet at the same line form a geometric figure.

The angle in degrees separates these lines or planes.

So, we know that:

The side opposite to the largest angle is also the largest side of the triangle and vica-versa.

Remembering this we can easily conclude that ∠X is the largest angle as the largest is 9 units and X is opposite of the side YZ which measures 9 units.

Therefore, (A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.

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Correct question:

Which angle in AXYZ has the largest measure?

A. ∠X

B. ∠Y

C. ​∠Z

D. Cannot be determined

The true statements are:

The area under the curve to the left of the pth percentile is equal to p

The area under the curve to the right of the pth percentile is equal to (1-P)

For the first set of statements regarding the standard normal distribution:

1. For z < 0; P(Z < 2) < 0

  - This statement is true. Since z < 0, the probability of Z being less than 2 (a positive value) is less than 0.

2. P(Z < 0) = 0.50

  - This statement is true. For the standard normal distribution, the probability of Z being less than 0 is 0.50 or 50%.

3. P(Z > 0) = 0.0

  - This statement is false. The probability of Z being greater than 0 is not 0.0 but rather 0.50 or 50%.

4. For z > 0, P(Z < 2) < 0.50

  - This statement is true. When z is positive, the probability of Z being less than 2 is less than 0.50.

5. For z > 0, P(Z < 2) > 0.50

  - This statement is false. When z is positive, the probability of Z being less than 2 is always less than 0.50.

6. P(Z > 0) = P(Z < 0) = 0

  - This statement is false. The probability of Z being greater than 0 and less than 0 is both 0.50 or 50%.

Therefore, the true statements are:

- For z < 0; P(Z < 2) < 0

- P(Z < 0) = 0.50

- For z > 0, P(Z < 2) < 0.50

For the second set of statements regarding the pth percentile of a continuous random variable:

1. The area under the curve to the left of the pth percentile is equal to p

  - This statement is true. The pth percentile represents the value below which a certain percentage (p) of the data falls.

2. The area under the curve to the left of the pth percentile is equal to (1-p)

  - This statement is false. The area to the left of the pth percentile is equal to p, not (1-p).

3. The area under the curve to the right of the pth percentile is equal to (1-P)

  - This statement is true. The area to the right of the pth percentile is equal to (1 - p).

4. The area under the curve to the right of the pth percentile is equal to p

  - This statement is false. The area to the right of the pth percentile is equal to (1 - p), not p.

5. The pth percentile is positive

  - This statement's validity depends on the specific distribution being considered. The pth percentile could be positive, negative, or zero, depending on the distribution.

Therefore, the true statements are:

- The area under the curve to the left of the pth percentile is equal to p

- The area under the curve to the right of the pth percentile is equal to (1-P)

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The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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If he arranges them into 6 equal rows, 4 posters will be in each row.

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal pieces. Every day, we might employ the division approach in various situations. Fraction division differs significantly from natural number division. We must change the division operator into a multiplication operator when dividing fractions. Therefore, the dividend should be multiplied by the inverted divisor.

Given,

Total posters = 24

Arranging them into 6 equal rows,

Dividing:

24÷ 6

Reciprocating,

24 × 1/6

4

If he arranges them into 6 equal rows, 4 posters will be in each row.

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Solving the system of equations by using substitution, we have:

6r + 7s = –1 Equation(1)

2r + 4s = –12 Equation(2)

6r= -1 - 7s (Subtracting 7s from both sides of equation 1)

r= -1/6 - (7/6)s (Dividing by 6 on both sides of the equation 1)

Replacing r=-1/6 - (7/6)s in equation 2 we have:

Replacing s=-7 in the equation r= -1/6 - (7/6)s , we have:

The solution of the sytem of equations is: r=8 and s=-7

Answer:

101

Step-by-step explanation:

The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6

There are six possible outcomes in the outcomes space. Let us solve each part of the question.How many possible outcomes are there in the outcomes space?The possible outcomes in the outcomes space for the given problem is calculated by multiplying the number of outcomes of the first roll by the number of outcomes of the second roll.Number of possible outcomes of each roll

= 6 (as there are six faces on a dice)Total possible outcomes in the outcomes space

= 6 × 6

= 36So, there are 36 possible outcomes in the outcomes space.How many elements are in the event of getting different numbers without repetitions?In this case, the two rolls are independent. This means the first roll doesn't affect the second roll. Thus, all possible outcomes with different numbers are 6 × 5

= 30. So, there are 30 elements in the event of getting different numbers without repetitions.How many elements are in the event of getting different numbers without repetitions but the second number must be a 4?In this case, we can have any one of the six numbers in the first roll. Then, only one number 4 is left for the second roll. Thus, there are 6 possible outcomes where the second number is a 4. Hence, there are 6 elements in the event of getting different numbers without repetitions but the second number must be a 4.The summary of the results is as follows:How many possible outcomes are there in the outcomes space.- 36 How many elements are in the event of getting different numbers without repetitions. - 30 How many elements are in the event of getting different numbers without repetitions but the second number must be a 4? - 6

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Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

Given that Trisha needs to save $ 8000 in order to afford to buy a car in five years, and she is going to invest in a savings account that promises an APY (Annual Percentage Yield) of 6% rounded to the nearest penny, to determine how much does she need to invest, the following calculation must be performed:

You must consider an unknown number, and multiply that number by the interest generated and the amount of time of said interest.

Therefore, Trisha needs to invest $ 26,666.66 to save $ 8,000 in 5 years.

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Answer:

x = 13, GJ = 5

Step-by-step explanation:

x - 8 = 5

x = 13

GJ = 5

Answer:

the answer is 6

Step-by-step explanation:

Find what's 1/8 divided by 3/4 in fraction form?

step 1 Address formula, input parameters & values.

Input parameters & values:

1/8 and 3/4

Step 2: change the problem

Remember, always do KCF(Keep,Change,Flip)

First i keep 1/8

1/8 ÷ 3/4

Then I change the sign to multiplication because you need to need to find the answer and simplified it

1/8 x 3/4

Make sure u always flip the other fraction because you are multiplying

1/8 x 4/3

then you do the rest

Step 3:solve

1/8 x 4/3=4/24

Step 4: simplified

24/4=6

Now your answer is 6

Hope it helps :)

Answer:

p=2/3

Step-by-step explanation:

The value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

p - 3 1/6 = -2 1/2

To solve the above linear equation in one variable first convert mixed fraction to fraction:

p - 19/6 = -5/2

p = -5/2 + 19/6

Take LCM of 2 and 6

p = (-15 + 19)/6

p = (4)/6

p = 2/3

Thus, the value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.

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