What is the equation of a line with a slope of 4 and contains the point (1,-6)

True. The statement "if the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25" is true.

When a range of feasibility is given, the lower and upper bounds of the values that can be chosen for the variables in a linear programming problem are given. The range of feasibility reflects the range within which the optimum answer can be found. It is a parameter that measures the extent to which the variables can change and still allow the same optimal answer to be obtained. In this case, the range of feasibility suggests that the initial amount of a resource was 20 and could be increased by 5, implying that the total amount of the resource can be 25. Therefore, statement is true.

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Answer:

\(\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]\)

Step-by-step explanation:

Notice that you are being asked to perform the product of a scalar (the number "-10" times a 2 by 2 matrix.

Such type of product requires the multiplication of each element of the matrix by the scalar "-10"

That means that the element 23 gets transformed into "-230"

The element -38 gets transformed into "380"

The element 17 gets transformed into "-170"

and lastly, the element -6 gets transformed into "60"

\(\left[\begin{array}{cc}1-230&380\\-170&60\\end{array}\right]\)\(\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]\)

Such modification gets reflected in the second matrix listed among the possible answers.

Step-by-step explanation:

can you please show the picture too

The measure of angle x to the nearest tenth of a degree is 57.7°.

The figure in the image is a right triangle.

From the figure;

To determine measure of angle x, we use one of the six (6) trigonometric ratio.

Cosine = Adjacent / Hypotenuse

Plug in adjacent = 4.6 units and hyptenuse = 8.6 unit, then solve for angle x.

cos( x ) = 4.6 units / 8.6 units

Take the cosine inverse.

x = cos⁻¹( 4.6 / 8.6 )

x = 57.66397

x = 57.7 degree.

Therefore, the value of x is 51.8 degrees.

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Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

bruh

Step-by-step explanation:

The volume of the cube with 2.5 meter edges is approximately 15.625 cubic meters.

The volume of a cube is given by the formula V = s³, where s is the length of one of its edges. In this case, the length of each edge is 2.5 meters. Therefore, the volume of the cube can be calculated as:

V = (2.5 meters)³

V = 15.625 cubic meters

So, the volume of the cube with 2.5 meter edges is approximately 15.625 cubic meters.

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Answer:

Triangle ABC is congruent to triangle DFE.

Answer:

Horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Step-by-step explanation:

Since A is not 0 then C can not be 0 This is a logical deduction from the given formula Ay = C

The equation of any line is y = ax + b, where a is the incline and b is the intercept between the line and the y- axis.

Ay = C

Divide left and right of the = sign by A and you get:

y = C/A

This is the formula for a horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Because it is a horizontal line it has an incline of 0.

So a = 0

y = ax + b

a = 0 and b = C/A

y = 0*x + C/A

y = 0 + C/A

y = C/A

Answer:

19/21 is better.

Step-by-step explanation:

To find which is better, you need to divide the numerator by the denominator.

27 divided by 32 is equal to 0.84375

19 divided by 21 is equal to 0.9

0.9 is greater than 0.84375, so 19/21 is better.

Answer:

Step-by-step explanation:

Answer: CLICK TO VIEW

16x^3+5x?

So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.

IQR = Q3 - Q1 = 65 - 59 = 6.

The data set does have one outlier, The value 77.

It is above the upper outlier limit of 74.

a)To find the quartiles, we first need to arrange the data in order:

55 56 57 59 60 60 61 62 62 62 63 64 65 65 77

The median is the middle value of the data set, which is:

Median = 62

To find the first quartile (Q1), we take the median of the lower half of the data:

Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58

To find the third quartile (Q3), we take the median of the upper half of the data:

Q3 = Median of {63, 64, 65, 65, 77} = 65

b)The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 65 - 58 = 7

c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.

Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5

Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5

Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.

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Step-by-step explanation:

\( \sqrt{2} \times \sqrt{10| } \div \sqrt{5}\)

\( \sqrt{20} \div \sqrt{5} \)

\( \sqrt{100 } \div 5\)

10/5

2

it just is, belive me

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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Answer:

(3,2)

Step-by-step explanation:

If you look at the x-axis it 3 to the right and your y-axis is 2 up and so the pair is (x is first, y is second) so it (3,2).

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

Answer:

C. \((4+ (-6.5)) +11.5\)

Step-by-step explanation:

Just exchange:

11.5 + (4 + ( - 6.5  ) )

⇒  (4+ (-6.5)) +11.5

After applying the property the expression would be  (4+ (-6.5)) +11.5.

Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.

For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4

Given:

11.5+ (4+ (-6.5))

In Above case we can use the  Associative property over addition.

For this we just need to exchange the position of number along with their signs.

So, 11.5+ (4+ (-6.5))

=  (4+ (-6.5)) +11.5

Hence, after applying the property the expression would be  (4+ (-6.5)) +11.5.

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The Babylonian approximation 3;41 is equal to 3.683, which is very close to the correct value of 3.637. we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side.

First, we need to convert the Babylonian approximation 3;41 into a decimal. To do this, we divide 41 by 60, which is equal to 0.683. Then, we add this decimal to the whole number 3, resulting in 3.683.

Next, we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side. To do this, we use the equation A = (7/4)s^2, where A is the area of the heptagon and s is the length of the side. We can rearrange this equation to become (A/s^2) = (7/4). This results in a value of 3.637 for the ratio.

Finally, we compare the two values. 3.683 is very close to 3.637, so the Babylonian approximation is accurate.

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Answer:

-20513

Step-by-step explanation:

Answer:

it would be -20513

Step-by-step explanation:

have a good day!

Answer:

7.2 kilometers or 7 and 1/5 kilometers

Answer:

36/5 or 7 1/5 kilometers

Step-by-step explanation:

Step 1:

4/5 × 9     Equation

Step 2:

4/5 × 9/1    Turn 9 into a fraction

Step 3:

36/5    Multiply

Answer:

36/5 or 7 1/5

Hope This Helps :)

In the triangle , the value of x is 57.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Here in the given triangle , SD=99 , SF=44 , RF = 76 and FE = 76+3x

RE = FE - RF

=> RE = 76+3x-76 = 3x

Now using triangle proportionality theorem then,

=> \(\frac{SF}{SD}=\frac{RF}{RE}\)

=> \(\frac{44}{99}=\frac{76}{3x}\)

=> 3x = \(\frac{76\times99}{44}\) = 171

=> x = 171/3 = 57

Hence the value of x is 57.

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Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

After four hours, the solution's temperature will be negative at 14.8 °C.

The result of the calculation that the mathematical model depicts is the expression's result when the necessary parameters and natural laws are given values.

Given Data

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To solve the equation properly and accurately, this rule is applied.

A chemist is monitoring the temperature of a solution during a four-hour period that begins at -12.4°C. The temperature increases by 5.7°C throughout the four hours and decreases by 8.1°C.

Afterward, the phrase will be

-12.4 + 5.7 - 8.1

If we condense the phrase, we have

-14.8°C

After four hours, the solution's temperature will be negative.

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We would need at least 1 tube in the heat exchanger.

To determine the number of tubes needed in the shell and tube process heater, we can use the equation for heat transfer:

Q = m * Cp * ΔT

Where:
Q is the heat transfer rate (600 kW)
m is the mass flow rate of water
Cp is the specific heat capacity of water (4180 J/kg.°C)
ΔT is the temperature difference (90°C - 20°C = 70°C)

First, we need to calculate the mass flow rate of water:

m = Q / (Cp * ΔT)
m = 600000 / (4180 * 70)
m ≈ 2.32 kg/s

Next, we need to calculate the cross-sectional area of a single tube using the inner diameter:

A = π * (d/2)^2
A = π * (0.01/2)^2
A ≈ 0.0000785 m^2

To find the velocity of water, we can use the equation:

V = m / (ρ * A)

Where:
V is the velocity of water
ρ is the density of water (1000 kg/m³)

V = 2.32 / (1000 * 0.0000785)
V ≈ 29.55 m/s

Since the velocity of water should not exceed 3 m/s, we need to reduce the number of tubes to achieve this. We can calculate the new cross-sectional area of a single tube using the desired velocity:

A' = m / (ρ * V)
A' = 2.32 / (1000 * 3)
A' ≈ 0.000773 m^2

Now, we can calculate the new number of tubes needed:

Number of tubes = Total cross-sectional area / New cross-sectional area
Number of tubes = Total cross-sectional area / (π * (d/2)^2)
Number of tubes = 0.0000785 / 0.000773
Number of tubes ≈ 0.101 tubes

Since we cannot have a fraction of a tube, we would need to round up to the nearest whole number. Therefore, we would need at least 1 tube in the heat exchanger.

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Answer:

Adult= 150 and Children=136

Step-by-step explanation: