Your are buying a can of tomato soup that weighs 8.5oz. The cost of the can of soup is $0.89. What is the approximate unit price per ounce?

Answer:

5.8

Step-by-step explanation:

\( \sqrt{ {5}^{2} } + \sqrt( { - 3}^{2} )\)

\( \sqrt{25 + 9} \)

\( \sqrt{34} \)

5?8

Answer:

-1 - ( -2 ) = 1

Step-by-step explanation:

Answer:

<S = 151 degrees

<DCE = 52 degrees

Step-by-step explanation:

The sum of interior angle of pentagon is 540 degrees

5x+2+7x-11+13x-31+8x-19+10x-3 = 540

43x - 62= 540

43x = 540+62

43x =602

x = 602/43

x =  14

get <S

<S = 13x-31

<S  = 13(14)-31

<S = 182-31

<S = 151 degrees

2) The sum of interior angle is the exterior

180-7x+2+180-4x-33 = 9x-31

360-11x-31 = 9x - 31

360 = 9x+11x

360 = 20x

x = 360/20

x = 18

<DCE = 180 - 7x - 2

<DCE = 180-7(18)-2

<DCE = 180-126-2

<DCE =  180-128

<DCE = 52 degrees

What do you mean by answer? you cannot solve for a numerical value without setting it equal to anything.

the only thing you can do is factor out a 2

2(-x +2)

Answer:

The number will be -13

Step-by-step explanation:

Let the no. be x

Its twice will be = 2x

According to the question ,

\(2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13\)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the number is -13.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The sum of twice a number and 7 is -19.

Let the number be M.

Now,

2M + 7 = -19

We will solve for M.

2M + 7 = -19

Subtract 7 on both sides.

2M + 7 - 7 = - 19 - 7

2M = -19 - 7

2M = -26

Divide both sides by 2.

M = -26/2

M = -13

We can cross-check.

2M + 7 = -19

2 (-13) + 7 = -19

-26 + 7 = -19

-19 = -19

Proved

Thus.,

The value of the number is -13.

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Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

The equation that represents x when solved is \(x=\frac{y-8}{1.5}\)

Given the equation that expresses the weight of a chimpanzee with respect to the months of birth as:

y = 1.5x + 8

We are to express x in terms of "y"

\(y = 1.5x + 8\)

Subtract 8 from both sides

\(y -8= 1.5x + 8-8\\y-8 = 1.5x\\Swap\\1.5x = y - 8\)

Divide both sides by 1.5

\(\frac{1.x}{1.5}= \frac{y-8}{1.5} \\x=\frac{y-8}{1.5} \\\)

Hence the equation that represents x when solved is \(x=\frac{y-8}{1.5}\)

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Answer:there are 21 fish in the tank.

Step-by-step explanation:

Let's assume that the total number of fish in the tank is x.

We know that 6/7 of the fish have a red stripe on them. Therefore:

(6/7)x = number of fish with red stripes

We also know that the number of fish with red stripes is 18. Therefore:

(6/7)x = 18

Multiplying both sides of the equation by (7/6), we get:

x = 21

The approximation of f(1.06) using the first four terms of the binomial series is approximately 1.063816.

The binomial series expansion is a representation of a function as an infinite sum of terms involving powers of a binomial expression. For the function f(x) = 1 + x, the binomial series centered at 0 is given by:

f(x) = 1 + x + x^2 + x^3 + ...

To find the first four nonzero terms, we take powers of x up to x^3. Therefore, the first four nonzero terms of the binomial series for f(x) are 1, x, x^2, and x^3.

To approximate f(1.06) using the first four terms, we substitute x = 0.06 into the series:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Evaluating the expression, we obtain the approximate value of f(1.06).

f(x) = 1 + x + x^2 + x^3 + ...

Substituting x = 0.06, we have:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Calculating each term:

f(1.06) ≈ 1 + 0.06 + (0.06)^2 + (0.06)^3
≈ 1 + 0.06 + 0.0036 + 0.000216
≈ 1.063816

Therefore, using the first four terms of the binomial series, the approximation of f(1.06) is approximately 1.063816.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

The range of the function is all real numbers greater than or equal to -1.

Step-by-step explanation:

Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:

\(y - k = C \cdot (x-h)^{2}\)

Where:

\(C\) - Vertix parameter, dimensionless. If \(C > 0\), then vertix is an absolute minimum, but if \(C < 0\), vertix is an absolute maximum.

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(h\) - Location of the vertix with respect to the independent variable, dimensionless.

\(k\) - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.

First, we have to expand polynomial into its standard form:

\(y = (x-4)\cdot (x-2)\)

\(y = x^{2}-6\cdot x +8\)

Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:

\(y = x^{2}-6\cdot x + 9 -9 + 8\)

\(y = (x-3)^{2} -1\)

\(y + 1 = 1 \cdot (x-3)^{2}\)

Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is \(k = -1\). Therefore, the range of the function is all real numbers greater than or equal to -1.

Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

Based on the inequality -3(a - b) > 0, we can conclude that 'a is greater than 'b'. This means that the value of 'a is larger than the value of 'b'.

To understand why 'a' is greater than 'b' in the given inequality, let's consider a numerical example. We can assume different values for 'a' and 'b' and check the inequality.

Let's say we choose 'a' = 5 and 'b' = 3. Substituting these values into the inequality, we have:

-3(5 - 3) > 0

-3(2) > 0

-6 > 0

Since -6 is less than 0, the inequality is not true for this case.

Now, let's try another example where 'a' = 7 and 'b' = 4:

-3(7 - 4) > 0

-3(3) > 0

-9 > 0

Here, we can see that -9 is less than 0, which means the inequality is not satisfied.

From these examples, we can observe that for any values of 'a' and 'b', as long as 'a' is greater than 'b', the inequality -3(a - b) > 0 will hold true. Hence, we can conclude that 'a' is greater than 'b' based on the given inequality.

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Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

To approximate the line integral ∫C(ydx+zdy+xdz) using a computer algebraic system (CAS) and Stokes' Theorem, we first need to find the intersection of the plane x+y=2 and the curve C.

1. Find the parametric equations for the curve C:
  Let x = t, then y = 2 - t, and z = 0.
  So, the parametric equations for C are:
  x = t, y = 2 - t, and z = 0.

2. Calculate the cross product of the tangent vector and the given vector:
  The tangent vector to the curve C is given by dr = (dx, dy, dz) = (1, -1, 0).
  The given vector is V = (y, z, x) = (2 - t, 0, t).

  Taking the cross product of dr and V, we get:
  dr x V = (dy * dz - dz * dy, dz * dx - dx * dz, dx * dy - dy * dx)
         = (0 - 0, 0 - 0, 1 - (-1))
         = (0, 0, 2).

3. Evaluate the line integral using Stokes' Theorem:
  The surface S enclosed by the curve C is the projection of the region R in the xy-plane bounded by the curve C.

  Applying Stokes' Theorem, we have:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS),

  where curl(F) = (curl(F1), curl(F2), curl(F3)) and dS is the surface area vector.

4. Determine the curl of F:
  Since F = (y, z, x), we have:
  curl(F) = (0, 0, 1).

5. Calculate the surface area vector dS:
  The surface area vector dS is given by dS = (dSx, dSy, dSz).

  Since the surface S is in the xy-plane, dSx = 0, dSy = 0, and dSz = 1.

  Therefore, dS = (0, 0, 1).

6. Evaluate the surface integral:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS)
                   = ∬S(0 * 0 + 0 * 0 + 1 * 1) dS
                   = ∬S dS.

  Since the surface S is a region in the xy-plane, the double integral of dS over S is simply the area of S.

7. Find the area of the region R:
  The region R is the projection of the plane x+y=2 onto the xy-plane.

  To find the area of R, we can solve the equation x+y=2 for y:
  y = 2 - x.

  The region R is bounded by the lines x = 0, x = 2, and the curve C.

  Integrate the expression 2 - x with respect to x over the interval [0, 2] to find the area A:
  A = ∫[0, 2] (2 - x) dx.

  Solving this integral, we get:
  A = [2x - (x^2)/2] evaluated from 0 to 2
    = [4 - 2] - [0 - 0]
    = 2.


Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

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Answer:46

Step-by-step explanation:

To prove ABC = XYZ using AAS, two angles and one side of each triangle must be congruent. In addition to this, it is necessary to show that the included angle between these two sides is also congruent.

Therefore, the additional piece of information needed to show that ABC = XYZ by AAS is the information that the included angle between the congruent sides is congruent. This means that the angle formed by the two congruent sides of ABC is equal to the angle formed by the two congruent sides of XYZ. Once all three of these conditions are met, we can conclude that the two triangles are congruent by AAS. This is because AAS states that if two angles and one side of one triangle are congruent to the corresponding two angles and one side of another triangle, then the two triangles are congruent.

Therefore, the included angle must also be congruent to prove congruence by AAS.

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Answer: y=5x/4 +3

Step-by-step explanation:

T(V) by using the standard matrix and the matrix relative to B and B' is (0,-8).

To find T(V) by using the standard matrix and the matrix relative to B and B', we first need to find the standard matrix of T. This can be done by applying T to the standard basis vectors of R3 and using the resulting vectors as the columns of the standard matrix. So, we have:
T(1,0,0) = (1,0)
T(0,1,0) = (-1,1)
T(0,0,1) = (0,-1)
The standard matrix of T is then:
| 1 -1  0 |
| 0  1 -1 |
Next, we need to find the matrix of T relative to B and B'. This can be done by applying T to the vectors in B and expressing the resulting vectors as linear combinations of the vectors in B'. So, we have:
T(1,1,1) = (0,0) = 0(1,1) + 0(2,1)
T(1,1,0) = (0,1) = 1(1,1) + (-1)(2,1)
T(0,1,1) = (-1,0) = 1(1,1) + (-2)(2,1)
The matrix of T relative to B and B' is then:
| 0  1  1 |
| 0 -1 -2 |

Finally, we can find T(V) by multiplying the matrix of T relative to B and B' by the coordinates of V relative to B. So, we have:
T(V) = | 0  1  1 | | 2 |
      | 0 -1 -2 | | 4 |
                   | 6 |
T(V) = | 8 |
      |-8 |
So, the coordinates of T(V) relative to B' are (8,-8), which means that T(V) = 8(1,1) + (-8)(2,1) = (0,-8).

Therefore, T(V) = (0,-8).

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Answer:

2688

Step-by-step explanation:

Answer:

The answer is - 2688

Step-by-step explanation:

24×112=2688

The volume of the prism is 75 cubic miles, the correct option is the first one.

To do so, we need to get the area of the triangular face and multiply it by the height.

Remember that the area of a triangle of base B and height H is:

A = B*H/2

Here we can see that:

B = 10mi

H = 3 mi

Then the area is:

A = 10mi*3mi/2 = 15mi²

And the height of the prism is  5mi, then the volume is:

V = 15mi²*5mi = 75mi²

Then the correct option is the first one.

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Answer:

Step-by-step explanation:

4/14

Divided both by 2

2/7

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

Answer:

(15÷8+2÷5)+(-7÷8)

=(1.875+0.4)- 0.875

= 2.275 - 0.875

=== 1.4

Step-by-step explanation:

mark me as brainlist

Answer: ​7/5, or 1.4, 1.4 in fraction is 7/5

​​  

according to the transitive property of congruence, AB and ST are equal to each other, which implies that AB is congruent to ST.

The transitive property is a postulate that can be utilized to determine whether or not a pair of segments are equal to one another. The transitive property of congruence is a term that is frequently utilized in geometry.

This concept may be used to determine whether or not a given segment is equivalent to another segment. If two segments are equal to a third segment, the transitive property states that they are equal to one another.

Let us consider that,AB is congruent to JK, JK is congruent to ST. Therefore, we can say that the transitive property of congruence is being used in this scenario.

Since AB is congruent to JK, it implies that segment AB and segment JK have identical length. Furthermore, since JK and ST are congruent, JK and ST have the same length, which means that the length of JK is the same as that of ST.

Since AB and JK are equal and JK and ST are equal, it implies that AB and ST are equal, according to the transitive property. This implies that segment AB is congruent to segment ST.

The transitive property of congruence is just one of many theorems that can be used to prove that a given segment is congruent to another segment.  

This theorem, on the other hand, is often used since it is simple to comprehend and use. In geometry, the transitive property is used to describe the relationship between several congruent parts of a triangle, polygon, or another figure.

Using the transitive property, geometric principles can be proved, and several facets of a problem can be comprehended.

the transitive property of congruence is an important concept in geometry. It helps to determine whether or not two segments are equal to each other.

In this given scenario, AB is congruent to JK, and JK is congruent to ST. Therefore, according to the transitive property of congruence, AB and ST are equal to each other, which implies that AB is congruent to ST.

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Answer:

 y = 4/3x - 3

Step-by-step explanation:

4x - 3y = 9

+ 3y         + 3y

4x = 3y + 9

- 9         -9

4x - 9 = 3y

divide all by 3

4/3x - 3 = y

The equation is solved for y and the solution is y = ( 4x - 9 ) / 3

Given data ,

Let the expression be represented as A

Now, the value of A is

4x - 3y = 9

On solving for y , we get

Adding 3y on both sides of the equation , we get

3y + 9 = 4x

Subtracting 9 on both sides of the equation , we get

3y = 4x - 9

Dividing by 3 on both sides of the equation , we get

y = ( 4x - 9 ) / 3

On simplifying the equation , we get

( 4x - 9 ) / 3

Hence , the equation is y =  ( 4x - 9 ) / 3

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The cordinate points with x- and y-intercepts of the graph of a linear equation, 4x+ 8y = 20, are equals to the (5,0) and (0, 5/2).

We have an equation, 4x + 8y = 20 --(1) which is linear equation with two variables. We have to determine the the x- and y-intercepts of the graph of equation (1). The graph of line (1) is present in above figure. Slope intercept form of equation (1) is written as \(y = - \frac{1}{2}x + \frac{5}{2}\),

The x-intercept is point where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. As we know, two points determine any line, we can graph lines using the x- and y-intercepts. To determine the x-intercept, we substitute y=0 and solve for x. So, when y = 0 then 4x + 0 = 20

=> x = 5

similarly to determine the y-intercept, set x=0 and solve for y. When x = 0

=> 8y = 20

=> y = 5/2.

Hence, required value are (5,0) and (0,5/2).

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