if f(x)=2^6x -19, what is the value of f(1)

Answer:

4x2 + -4x + -48 = 0

4x2 + -4x + -48 = 0Reorder the terms:

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0

4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0Ignore the factor 4.

Step-by-step explanation:

hope it helps:)

Answer:

Answer:

so x=8

Step-by-step explanation:

2x+46=7x+6

subtracting 7x on both sides

2x-7x+46=7x-7x+6

-5x+46=6

subtracting 46 on both sides

-5x+46-46=6-46

-5x=-40

5x=40

x=8

i hope this will help you :)

To solve the equation 2y − 2.3 = 4.1  for y, we can use algebraic manipulation.

In order to remove the constant term on the left-hand side of the equation, we first add 2.3 to both sides of the equation:

                                 2y - 2.3 = 4.1

                     +2.3                          +2.3

                                   2y = 6.4

Now, we divide both sides by 2 to isolate y:

                                 2y = 6.4

                            ÷2               ÷2

                                  y = 3.2

So, the solution to this equation is  y = 3.2

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We need to isolate the variable on one side of the equation in order to solve an equation like this. By carrying out the same method on both sides of the equation, we can do this. In this example, we divided both sides by 2 to isolate y after adding 2.3 to both sides to remove the constant term on the left-hand side.

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- A term in an algebraic equation that has no variables and is steady is known as a constant term in mathematics. A constant is a fixed, unchanging value. A constant in algebra can be a number on its own or sometimes a letter like a, b, or c to show a fixed integer.

- To separate y from all other terms in an equation, the equation must be rewritten so that y is on one side and all other terms are on the other side. It allows us to calculate the value of y and solve for it.

- Mathematical operations including addition, subtraction, multiplication, and division are used to rearrange algebraic expressions or equations to try to simplify or solve them. This process is known as algebraic manipulation. By doing the opposite operations (undoing) to any equation, algebraic manipulation tries to isolate a variable or simplify an expression in order to solve for a certain variable.

Answer: 14% of 600 is 84

Step-by-step explanation:

Write 14% as 14/100

Since finding the fraction of a number is the same as multiplying the fraction with the number, we have

14/ 100 of 600 =

14/ 100  × 600

therefore the answer is 84

Answer:2.33333334

Step-by-step explanation:

it could be 84

Answer:

550

Step-by-step explanation:

3/4 x 1000 = 750

The parking lot has 750 cars and trucks.  Subtract out the 200 cars and we are left with 550 trucks.

We find that the dimensions of the rectangular sheep pen are L = 100 feet and W = 260 feet.To find the dimensions of the rectangular sheep pen, we need to solve for the length and width of the pen.

Let's assume the length of the pen is L and the width is W.

We know that the area of a rectangle is calculated by multiplying the length and width: Area = Length * Width.

Given that the area of the pen must be 26000 square feet, we have the equation L * W = 26000.

We also know that we only need to build three sides of the pen, so the total length of the fence used will be the sum of the three sides: L + W + L = 2L + W.

Given that we have a total of 460 feet of fence to use, we have the equation 2L + W = 460.

Now we have a system of two equations with two variables. We can solve this system to find the values of L and W.

Using these two equations:
L * W = 26000
2L + W = 460

We can substitute the value of W from the second equation into the first equation:
L * (460 - 2L) = 26000.

By simplifying and rearranging, we get:
-2\(L^2\)+ 460L - 26000 = 0.

This equation can be solved by factoring or using the quadratic formula. After solving, we find that the dimensions of the rectangular sheep pen are L = 100 feet and W = 260 feet.

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Answer:

(3–7x²)(x–3)

Step-by-step explanation:

If you apply the distributive property in (3–7x²)(x–3), you obtain:  

3x-9-7x²(x)+21x²

3x-9-7x³+21x²

When you order the expression, you have:  

-7x³+21x²+3x-9

Then, the answer is (3–7x²)(x–3)

The resulting expression from the given algebra after grouping is; C: (3 – 7x²)(x – 3)

We want to simplify the algebraic expression; -7x³ + 21x² + 3x - 9

Applying distributive property of algebra, we have;

-7x²(x - 3) + 3(x - 3)

By factorization, we have;

(3 – 7x²)(x – 3)

Looking at the options, only option C is correct

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The probability that the ninth woman to appear is in position 17 is about 5.59%

We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.

The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.

Using this formula with n = 16 and k = 8, we get:

P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8

= 12870 * 0.00390625

= 50.27

This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.

Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.

Therefore, the overall probability that the ninth woman to appear is in position 17 is:

P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

A’ will be located on ray Ray B A.

B and B’ are the same point.

Line segment A B and Line segment BC will be part of the image’s sides.

Step-by-step explanation:

Given that the dilation is made through point B, B and B’ are the same point, A’ will be located on Ray BA, C’ will be located on Ray BC, line segment B'C' will be double than line segment BC, line segment B'A' will be double than line segment BA, and the pre-image (triangle ABC) will be inside the image (triangle A'B'C').

Answer:

A B D is your answer

Step-by-step explanation:

Answer:

image has six circles

∴ A complete circle has 360°

360/6= 60 degrees

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Answer:

90 degrees.

Step-by-step explanation:

90 degrees because if you take a right angle and add 90 more then you have half a circle then add 90 2 more times then you have a full circle since this is a circle is like right angles if you add 90 it is the same.

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Answer:

it would be an arrow facing up

The expected number of cars that are a color other than silver is 42 cars.

Option D is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

If 16% of the cars passing by are silver, then the percentage of cars that are not silver.

= 100% - 16%

= 84%.

If 50 cars are selected at random on one day, the expected number of cars that are a color other than silver is equal to the total number of cars (50) multiplied by the percentage of cars that are not silver (84%).

= 50 x 84%

= 50 x 0.84

= 42 cars

Therefore,

The expected number of cars that are a color other than silver is 42 cars.

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Answer:

900

Step-by-step explanation:

Since the first three numbers are the only ones that matter there are 9*10*10 options

Answer:

Could you please provide more information so I can help you with your problem?

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Bruce Lovegren paid a monthly annual premium of $125 for his $15,000 10-year term life insurance policy.

The monthly premium can be calculated by dividing the total cost of the policy by the number of months in the policy term:

monthly premium = total cost of policy / number of months in policy term

The total cost of the policy can be calculated by multiplying the annual premium by the number of years in the policy term:

total cost of policy = annual premium * number of years in policy term

The number of months in a year is 12.

Bruce Lovegren purchased the policy on April 14, 1977, so the policy was in effect for 10 years and 8 months, or 128 months.

The annual premium as follows:

total cost of policy = $15,000

number of years in policy term = 10

annual premium = total cost of policy / number of years in policy term

annual premium = $15,000 / 10

annual premium = $1,500

monthly premium = annual premium / 12

monthly premium = $1,500 / 12

monthly premium = $125

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The directional derivative of f(x,y) = \(x^3y^3\) in the direction of v = -3i + 3j at the point P=(1,1) is 0.

To calculate the directional derivative, first find the gradient of the function, then normalize the direction vector, and finally, take the dot product of the gradient and the normalized vector at point P.

Given the function f(x, y) = \(x^3y^3\), we find its partial derivatives with respect to x and y:
∂f/∂x = \(3x^2y^3\)
∂f/∂y = \(3x^3y^2\)

So, the gradient of f is ∇f = \((3x^2y^3, 3x^3y^2).\)

Next, normalize the direction vector v = -3i + 3j.
The magnitude of v is |v| = \(\sqrt((-3)^2 + (3)^2) = \sqrt(18).\)
The normalized vector is u = (-3/√18, 3/√18).

Now, we can find the gradient at the point P=(1,1):
∇f(1,1) = \((3(1)^2(1)^3, 3(1)^3(1)^2)\) = (3, 3).

Finally, we compute the directional derivative as the dot product of the gradient and the normalized vector:
Duf(1,1) = ∇f(1,1) • u = (3, 3) • (-3/√18, 3/√18) = -9/√18 + 9/√18 = 0.

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The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

-1.75

1.74

-1.74

Step-by-step explanation:

they are all smaller than 1.75

Answer:

10.5

1.74

1.75

Step-by-step explanation:

that's my answer,hope it helps

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Answer: y=0.392x2 - 5.583x +21.167

Step-by-step explanation:

Answer:

combine like terms

Step-by-step explanation:

7x and 4x were added together to get 11x. 35 and 20 were added together to get 55

Answer:

154 mm²

Step-by-step explanation:

Area of circle :

Solving :

See below~

Here, it is given that the radius of a circle is 7 mm and we've to find it's area .

So,

Formula:

\( \purple{\boxed{\sf{A = \pi r^2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[ \pi =\frac{22}{7}]\)

Now ,

\(\Longrightarrow \sf{A = \pi *r^2}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow \sf{A = \frac{22}{7} *7^2}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow \sf{A = \frac{22}{7} *49}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow \sf{A = \frac{22}{ \cancel7} * \cancel{49}}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow \sf{A = 22 * 7}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow \sf{A = 154}\)

Therefore , the area of a circle is 154 mm²

Answer:

6.4 x 10 to the power of 3

Step-by-step explanation:

always have 1 number after the decimal point and then times by ten to the power of 3.

Answer:

64x10²

Just move it to the left 2 times.

The first term (a1) is 5 and the common difference (d) is 3. The 27th term of the sequence is 83.

To find the 27th term of the sequence 5, 8, 11, ..., we can observe that each term is obtained by adding 3 to the previous term.

Therefore, the common difference is 3.
To find the 27th term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
In this case, the first term (a1) is 5 and the common difference (d) is 3.

Plugging these values into the formula, we have:
a27 = 5 + (27 - 1) * 3
Simplifying the expression:
a27 = 5 + 26 * 3
a27 = 5 + 78
a27 = 83
Therefore, the 27th term of the sequence is 83.

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The distance between the pair of points. N(-6,-10),P(-6,-3) is 7

The coordinates are given as:

N(-6,-10) and P(-6,-3)

The distance is calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

d = √(-6 + 6)^2 + (-10 + 3)^2

Evaluate the exponent

d = √49

This gives

d = 7

Hence, the distance between the pair of points. N(-6,-10),P(-6,-3) is 7

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Answer:

498,173.26.

Step-by-step explanation:

The place value of 9 in the number 3, 29,513 = 9000

In the required number,

Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000

The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2

The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06

Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.

Answer:

-22 m

Step-by-step explanation: