x^(2)-8x+15=0
that is x squared -8x+15=0
this is a algebra 2 problem

Answer:

Step-by-step explanation:

f(x) = 3x + 4

When you are just beginning this material, the x when something is substituted for on the left, must also become the same value on the right

f(5) = 3*5 + 4

f(5) = 15 + 4

f(5) = 19

Step 1: Calculate the total cost for the first hour. The total cost for the first hour is $2,000.

Step 2: Calculate the cost for each additional hour. The cost for each additional hour is $1,000.

Step 3: Calculate the total cost. To calculate the total cost, add the cost for the first hour ($2,000) to the cost for each additional hour ($1,000) multiplied by the number of additional hours (n). This gives us a total of P = 2,000 + 1,000(n + 1).

Therefore, the correct expression for the total cost is P = 2,000 + 1,000(n + 1).

C(x)=F+V is the generic form of the cost function formula (x) C(x) = F + V(x), where x is the number of units, V(x) is the total variable cost, and C(x) is the overall cost of production.

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Answer:

I'm assuming the chessboard is square so 49cm square.

Step-by-step explanation:

Area of a square= side × side

7×7=49

Have a nice day.

The area of the chessboard is 49 square inches, and which side length is 7 inches.

To find the area of the chessboard, we need to calculate the product of its length and width.

In this case, since the chessboard is a square, the length, and width are equal.

Given that the side length of the chessboard is 7 inches, we can calculate the area as follows:

Area of the chessboard = side length x side length

Area of the chessboard = 7 inches x 7 inches

Area of the chessboard = 49 square inches

Therefore, the area of the chessboard is 49 square inches.

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Answer:

i think i know 4 and 5

Step-by-step explanation:

for 5 is A,G

and for 4 its D,F

Answer:

Vertex is (-1/4, -81/8)

Step-by-step explanation:

Does that help any?

The bitwise operators can be used to manipulate the bits of variables of long type.

What are operators?

Operators are language-defined structures used in computer programming that operate broadly like functions but have syntactic or semantic differences. Logic operations, comparison, and arithmetic are a few instances of common elementary examples.

Here, we have

The bitwise operators can be used to manipulate the bits of variables of type.

Consider the right shift operation for float or double.

Float and double are represented using IEEE 754 Floating point representation.

This is IEEE-754 32-bit Single-Precision Floating-Point Number Representation.

In this representation, the first bit is the sign bit.

The sign bit indicates whether the number is positive or negative.

If the sign bit is 1, the number is positive and if it is 0, the number is negative.

If we apply the right shift, the sign bit is pushed into the exponent and the least significant bit is pushed into the fraction.

For a right shift, generally, the empty bit is replaced by 0.

If the sign bit before shifting was 1, means the number was positive.

On shifting it becomes negative. This makes the interpretation complicated.

That is the reason bitwise operators are generally not allowed with float or double.

Therefore,

The bitwise operators can be used to manipulate the bits of variables of long type.

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The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Option C is correct, the missing denominator of the solution is 3.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given  quadratic equation is  3x² + 4x - 2 = 0.

We have to use the quadratic formula to find root

x = -b±√b²-4ac/2a

From the equation a = 3, b= 4 and c=-2

Plug in these in formula

x = -4 ±√ 4²-4(3)(-2)/2(3)

x = -4 ±√16+24/6

x = -4 ±√40/6

x = -4 ± 2√10/6

x = -2 ± √10/3

Hence, the missing denominator of the solution is 3.

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The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

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Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

The probability that a sample of 10 items will contain at most 1 defective item is 0.7361

Consider X to denote the number of defective items which follows binomial distribution with sample size, n equals to 10.

The probability p of an item produced by a certain machine will be defective is 0.1.

Therefore, the probability q of an item produced by a certain machine will not be defective is:

(1−0.1)

=0.9

The probability of at most one defective item can be calculated as follows:

\(P(X\leq 1)=P(X=0)+P(X=1)\\\)

\(=^{10} C_{0} p^{0} (1-p)^{10} +^{10} C_{1} p^{1}(1-p)^{9}\)

\(=(0.9)^{10} +10(0.1)(0.9)^{9}\)

\(=0.7361\)

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The optimal solution for the given linear programming problem using the Big-M method is x₁ = 4, x₂ = 2, with a maximum value of Z = 22.

To solve the given linear programming problem using the Big-M method, we first convert it into standard form by introducing slack, surplus, and artificial variables.

The objective function is to maximize Z = 4x₁ + 3x₂. The constraints are 2x₁ + x₂ ≥ 10, -3x₁ + 2x₂ ≤ 6, x₁ + x₂ ≥ 6, and x₁, x₂ ≥ 0.

We introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equalities. The initial Big-M tableau is set up with the coefficients and variables, and the artificial variables are introduced to handle the inequalities. We set a large positive value (M) for the artificial variables' coefficients.

In the first iteration, we choose the most negative coefficient in the Z-row, which is -4 corresponding to x₁. We select the s₂-row as the pivot row since it has the minimum ratio of the RHS value (6) to the coefficient in the pivot column (-3). We perform row operations to make the pivot element 1 and other elements in the pivot column 0.

After multiple iterations, we find that the optimal solution is x₁ = 4, x₂ = 2, with a maximum value of Z = 22. This means that to maximize the objective function, x₁ should be set to 4 and x₂ should be set to 2, resulting in a maximum value of Z as 22." short

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The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

x2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

x = 5 or x = -3

Since x is a positive integer, x = 5

Therefore, the sides of the triangle are 5 cm, 12 cm and 13 cm.

Answer:

It would be a undefined slope. This is because the x value of a straight vertical line can go infinite in both ways without ever changing its y value.

Solution

To write r > -10/3 on a number line,

Step 1: Draw a number line and include -10/3 on it

Step 2: Draw an arrow to the right with the small circle at its initial

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

The final value of the product = 292

According to the given equation -

= (4a2+3b)x(4a2+36)

multiply the whole equation-

= 16a4+144+12a2b+108

as we can see that the values of a and b are given 1 and 2 respectively,

so putting the values of a and b in the equation we get -

= 16(1)4+144+12(1)2(2)+108

= 292

The product of the following equation will be = 292

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Answer:3

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

4.1553

    15 -> 2

4.2

Answer:

4.2

Step-by-step explanation:

nearest tenth which is (00) after the point, two digits.

If the after the second digit (the third digit) is exactly 5 or more than you move one UP, however if it's less than 5 (4 or less) you keep the same digit.

Answer:

3 friends played golf

Step-by-step explanation:

33-12=21

21/7=3

If cruz purchased a large pizza for $12.75. It serves 5 people, the cost per serving of the pizza is $2.55. So, correct option is A.

To find the cost per serving of the pizza, we need to divide the total cost of the pizza by the number of servings. In this case, the pizza costs $12.75 and serves 5 people.

Therefore, the cost per serving can be calculated as:

Cost per serving = Total cost of pizza / Number of servings

Cost per serving = $12.75 / 5

Cost per serving = $2.55

So, the cost per serving of the pizza is $2.55.

When working with fractions or dividing quantities, we need to pay attention to the units involved. In this case, the units of the cost and the servings must match for the division to be meaningful.

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Answer:

A) -4/5

Step-by-step explanation:

( -8, 10) and ( -3, 6)

Slope:

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

m=(6-10)/(-3+8)

m= (-4)/5

m = -4/5

By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.

To convert a length in inches to yards, feet, and inches

Note the followings:

There are 12 inches in a foot and 3 feet in a yard.

Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.

Given that, the input is 50 inches, the output  will be

Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)

Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)

Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)

Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.

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Answer: 57x 38= 2166.  71x38= 2698.      31x25= 775            75x47= 3525        63x59=3717

Step-by-step explanation:

Answer:

BY = 9.90 cm

Step-by-step explanation:

AY = 7cm

AB = 7cm

BY = ?

BY = \(\sqrt{7^2+7^2}\)

BY = \(\sqrt{98}\)

BY = 9.89cm (round to 9.90cm)