how to write expression as a single definite integral

Answer:

add

80+25=180

and u will get your answer

Answer:

  x - 6

Step-by-step explanation:

You want the algebraic equivalent of "x decreased by 6."

If a quantity is decreased by 6, it means 6 has been taken away. You might have seen this as "__ take away 6." It means 6 has been subtracted.

We represent the subtraction of 6 using a minus sign.

  x - 6

__

Additional comment

Other math symbols are associated with different wording:

\(f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}\)

This is because

\(h(x)=\sqrt x\)

\(g(x)=x-1\)

\(\implies g(h(x))=\sqrt x-1\)

(that is, replace any instance of x in the definition of g with √x )

and

\(f(x)=x^4+4\)

\(\implies f(\sqrt x-1)=(\sqrt x-1)^4+4\)

(replace any x in f with √x - 1)

Also acceptable:

\((\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4\)

\(=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}\)

(assuming x is not negative)

Answer:

Step-by-step explanation:

Three I think.

Donald x  x

X   X   Donald

X Donald X

Answer:

3

Step-by-step explanation:

The ducks would be in a single file line.

1 duck in front of the two ducks in a line.

1 duck behind the two ducks in the straight line.

Since there are 3 ducks in a straight single line, the duck in the middle would be between 2 ducks.

X

X

X

Step-by-step explanation:

I see I did the question yesterday and I thought I wrote it down in my love my note but honestly I didn't so you may have to download app called mathematics or something like that they just automatically tell you the Answer sorry I couldn't help

In a tank with an initial volume of 880 liters and a constant inflow and outflow rate of 4 liters per minute, the concentration of the brine solution inside the tank remains constant over time.

Initially, the tank contains 880 liters of liquid. With an inflow rate of 4 liters per minute, the same amount of brine solution enters the tank. Simultaneously, the well-stirred solution leaves the tank at the same rate of 4 liters per minute. This creates a balance between the inflow and outflow, resulting in a constant volume of liquid inside the tank.

Since the concentration is not mentioned explicitly, we can infer that the concentration of the brine solution inside the tank remains constant. The inflow and outflow rates are equal, ensuring that the concentration does not change over time. Therefore, the concentration of the brine solution inside the tank remains the same as the initial concentration throughout the process.

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Answer:use some caulk

Step-by-step explanation:

I am a handy man myself

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

Using the Fundamental Counting Theorem, it is found that Deidra can choose 12 different combinations.

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2 = 4(3) = 12\)

Deidra can choose 12 different combinations.

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

I.4

ii.13

Step-by-step explanation:

....ur welcome........

Given equation:

Where T = temperature in Fahrenheit and

V = wind speed in miles per hour

Conversion formulas:

Question (b)

We are required to convert -2 degree Celsius to Fahrenheit

Using the conversion formula:

Answer: 28.4 F

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

iPad mini is a cuboid we can consider

Volume

\(\\ \rm\Rrightarrow LBH\)

\(\\ \rm\Rrightarrow 7.9\times 5.3\times 0.3\)

\(\\ \rm\Rrightarrow 12.561in^3\)

Answer:

Solution given:

L=5.30 in

B= 0.30 in

H=7.9 in

Volume =L*B*H=5.30*0.30*7.9=12.561in³

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

Step-by-step explanation:

The formula that describes how the salesman's weekly salary s depends on his weekly revenue r is:

s = $500 + 0.12(r - $1000)

In this formula, s represents the salesman's total weekly salary, which includes both the fixed salary of $500 and the commission based on his weekly revenue. r represents the salesman's weekly revenue.

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

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The length of the midsegment of the trapezoid is 8 units

Trapezoid

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.

In this problem

The two non-parallel sides of the trapezoid are AD and BC

Step 1

Find the midpoint side of AD

Let

E the midpoint AD

A ( 2,4 ) D (-2,-1)

Find the x-coordinate of the midpoint AD

\(x = \frac{2-2}{2} = 0\)

Find the y-coordinate of the midpoint AD

\(y = \frac{4 - 1}{2} = 1.5\)

the point E is equal to (0, 1.5 )

Step 2

Find the midpoint side of BC

Let

F the midpoint BC

\(B ( 7,4) C ( 9, -1)\)

Find the x-coordinate of the midpoint BC

\(x = \frac{9+2}{7} = 8\)

Find the y-coordinate of the midpoint BC

\(y = \frac{4 - 1}{2} = 1.5\)

The point F is equal to ( 8 , 1.5 )

Step 3

Find the distance EF

Know that

The formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)

we have

E ( 0 ,1.5) F ( 8, 1.5)

substitute the values

\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)

d = 8 units

Therefore

The length of the midsegment of the trapezoid is 8 units

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Answer:

11 because 55 devided by 11 is makes 5 and 44 decided by 11 is 4

The p-value for this test is 0.025 < p < 0.05. The correct answer is C.

To determine the p-value for the χ2 goodness-of-fit test, we need to compare the calculated χ2 statistic (10.20) with the χ2 distribution with (k-1) degrees of freedom, where k is the number of categories (in this case, 5 flavors).

Since we have 5 flavors, the degrees of freedom (df) is given by df = k - 1 = 5 - 1 = 4.

Using the χ2 distribution table or a statistical software, we can find the p-value associated with the calculated χ2 statistic and the degrees of freedom.

Based on the available answer choices, the closest range for the p-value is 0.025 < p < 0.05, which corresponds to option C: 0.025 < p < 0.05.

Therefore, the p-value for this test is between 0.025 and 0.05. The correct answer is C.

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Answer: The answer Is 9f

Step-by-step explanation:

A new car can be ordered in 448 different ways.

To determine the number of different ways a new car can be ordered in terms of these options, we need to multiply the number of choices for each option together.

There are 7 possible colors, 2 choices for air conditioning (with or without), 2 choices for heated seats, 2 choices for anti-lock brakes, 2 choices for power windows, and 2 choices for a CD player.

By applying the Fundamental Counting Principle, we multiply these numbers together:

7 colors × 2 air conditioning choices × 2 heated seats choices × 2 anti-lock brakes choices × 2 power windows choices × 2 CD player choices

7 × 2 × 2 × 2 × 2 × 2

= 448

Therefore, a new car can be ordered in 448 different ways in terms of these options.

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Answer:

130

Step-by-step explanation:

If you replace the value of c with 130, you can multiply 13 with 130 to get your answer.

13 x 130 = 1690

Or, you can multiply 13 with 13 and add the 0 onto the end. This makes the same answer. To add a zero onto the end of a number multiply it by ten.

169 x 10 = 1690

The value of c is 130

1690 divided by 13 = 130

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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The answer is that 750 milliliters is equal to approximately 3.17 cups.

Milliliters (ml) and cups are units used to measure volume or capacity. Milliliters are part of the metric system, which is used worldwide, while cups are part of the imperial system, which is still used in some countries, including the United States.

To convert milliliters to cups, you can use the conversion factor of 1 cup being equal to approximately 236.588 milliliters. To convert 750 milliliters to cups, you would divide 750 by 236.588:

750 ml / 236.588 ml/cup = 3.17 cups

It's important to note that conversions between different units of measurement can sometimes result in values that are not an exact number, but instead a close approximation. This is because different units of measurement were developed in different parts of the world, and sometimes have different levels of precision.

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Answer:

183.079764 if you round it would be around 183

Step-by-step explanation:

Have amazing day!

Answer:

it is A & D

Step-by-step explanation:

Answer:

A' (-1, -3)

B' ( 5,-5)

C' (6,-1)

Step-by-step explanation:

Let's create a vector F(x, y, z) with at least two variables in its components:

F(x, y, z) = (xy + 2z)i + (yz + 3x)j + (xz + y)k

Now, let's find the gradient, divergence, and curl of this vector:

1. Gradient (∇F):

The gradient of a vector is given by the partial derivatives of its components with respect to each variable. For our vector F(x, y, z), the gradient is:

∇F = (∂F/∂x)i + (∂F/∂y)j + (∂F/∂z)k

Calculating the partial derivatives:

∂F/∂x = yj + zk

∂F/∂y = xi + zk

∂F/∂z = 2i + xj

Therefore, the gradient ∇F is:

∇F = (yj + zk)i + (xi + zk)j + (2i + xj)k

2. Divergence (div F):

The divergence of a vector is the dot product of the gradient with the del operator (∇). For our vector F(x, y, z), the divergence is:

div F = ∇ · F

Calculating the dot product:

div F = (∂F/∂x) + (∂F/∂y) + (∂F/∂z)

Substituting the partial derivatives:

div F = y + x + 2

Therefore, the divergence of F is:

div F = y + x + 2

3. Curl (curl F):

The curl of a vector is given by the cross product of the gradient with the del operator (∇). For our vector F(x, y, z), the curl is:

curl F = ∇ × F

Calculating the cross product:

curl F = (∂F/∂y - ∂F/∂z)i - (∂F/∂x - ∂F/∂z)j + (∂F/∂x - ∂F/∂y)k

Substituting the partial derivatives:

curl F = (z - 3x) i - (z - 2y) j + (y - x) k

Therefore, the curl of F is:

curl F = (z - 3x)i - (z - 2y)j + (y - x)k

That's it! We have calculated the gradient (∇F), divergence (div F), and curl (curl F) of the given vector F(x, y, z) by finding the partial derivatives, performing dot and cross products, and simplifying the results.

The function y=x²+5x-6 has a minimum value. All real numbers are included in the function's domain. The function has a range of y ≤ 12.25, the correct option is (c).

The parabola has a minimum value and widens upwards since the x² term's coefficient is positive.

To find the minimum value, we can use the formula for the x-coordinate of the vertex:

x=-b/2a=-5/(2 × 1)=-2.5.

Plugging this value into the equation, we get

y=(-2.5)²+5(-2.5)-6=-12.25.

Therefore, the function has a minimum value of -12.25.

The function is a polynomial, which means it is defined for all real numbers.

Since the function has a minimum value of -12.25, the range of the function is all real numbers less than or equal to -12.25, i.e., {y ≤ 12.25}.

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The complete question is:

Consider the equation y=x^(2)+5x-6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function

a. minimum; 0; D: (all real numbers); R: {all real numbers}

b. maximum; 0; D (all real numbers); R: {y <-0}

c. minimum; -12.25; D (all real numbers); R: {y <-12.25}

d. maximum; -12.25; D {x <- 2.5}; R: {all real numbers}

Answer:

74=ab/c

Step-by-step explanation:

a=7c/4b

b=7c/4a

c=4ab/7