A container when 3/8 full,holds 15 litres of oil.How many litres of oil would be needed to fill 5 similar containers?​

To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.

Unit conversion is the expression of the same function in a new unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles to kilometers/feet, or another length measurement. A conversion factor is a numerical equation that allows for the equal conversion of feet to another dimensional analysis unit.

A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equivalent value, the proper conversion factor must be utilized. For example, to translate inches to feet, the correct conversion value is 12 inches equals 1 foot. The converting value for minutes to hours is 60 minutes equals 1 hour.

From the information given:

To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.

The conversion factors are:

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(a) The normal form game can be represented as follows:

| Abate | Not Abate

-------------------------------

Abate      | 10, 10 | -2, 15

-------------------------------

Not Abate  | 15, -2 | 0, 0

The first entry in each cell represents the payoffs to Company X, while the second entry represents the payoffs to Company Y.(b) The outcome of this game depends on the strategies chosen by the companies. In this case, the dominant strategy for each company is not to abate pollution. Both companies will choose not to abate pollution since it results in the highest payoffs for both.

(c) Neither of the companies will abate pollution. It is a dominant strategy for each company not to abate because the cost of abatement outweighs the benefits. If one company were to abate while the other does not, the abating company would incur a cost without any additional benefit, leading to a lower payoff compared to not abating. As a result, both companies opt for not abating pollution, maximizing their respective payoffs.

In this game, both companies choose not to abate pollution due to the higher costs compared to the benefits. This highlights the importance of considering individual rationality and cost-benefit analysis in environmental decision-making.

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The length of the vegetable garden as a function of its length will be given as: y = 3x + 2

The expression of the garden width in terms of the width of the tomato patch is given as:

y = x + 5

Let the length of the garden be y

Let the length of the tomato patch be x

If Melissa wants the length of  the garden to exceed three times the length of the tomato patch by 2 feet, the length of the vegetable garden as a function of its length will be given as:

y = 3x + 2

Therefore, If she also wants the garden's width  to exceed the width of the tomato patch by 5 feet,  the expression of the garden width in terms of the width of the tomato patch is given as:

y = x + 5

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Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

The degenerate conic which is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone is the "parabolic conic".

A double cone is formed by two cones that are stacked one on top of the other with their vertices touching and with a common axis. If the slicing plane is parallel to the base of the double cone, it will produce a circle. If the slicing plane is perpendicular to the axis, it will produce an ellipse.

If the slicing plane is at an angle to the base, it will produce a hyperbola.If the slicing plane is parallel to the slant height, it will form a parabola rather than a conic.

a complete cone formed by straight lines through the vertex, the straight lines being indefinitely extended in both directions.

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Hi!

55<35+10x

Move 35 to the left, using the opposite operation:

55-35<10x

20<10x

Divide both sides by 10:

2<x

Since 2 is greater than x, x is less than 2:

x<2 (Answer)

Hope it helps!

Enjoy your day!

~Misty~

The area of the figure created by Brianna is  \(33\frac{3}{4}\) square feet.

Explain area in mathematics.

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.

Solution Explained:

A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.

Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2    
=  135/4
= \(33\frac{3}{4}\) square feet

Area of the figure is \(33\frac{3}{4}\) square feet.

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Answer:

Slope = 5/2

Step-by-step explanation:

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

In this case the two points are (6,7) and (4,2)
Using the formula we find that the slope is:
slope = (2-7)/(4-6)
slope = -5/-2
The negatives cancel out and therefore the final answer or slope is 5/2.

The hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.To convert the hybrid car's fuel consumption rate from miles/gallon to kilometers/liter, we need to multiply by a conversion factor of 0.425 (1 mile = 1.609 kilometers, 1 gallon = 3.785 liters).

So the car's fuel consumption rate is 54.1 miles/gallon x 0.425 km/mile ÷ 3.785 liters/gallon = 6.09 km/liter.To find how many liters of gasoline the car will consume traveling 132 km, we can use the formula:

Gasoline consumed = distance traveled ÷ fuel consumption rate

Gasoline consumed = 132 km ÷ 6.09 km/liter = 21.65 liters (rounded to two decimal places).Therefore, the hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.

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9514 1404 393

Answer:

  350, 5, 2668, 4

Step-by-step explanation:

a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350

__

b) mcd(35, 50) = 5

  35 = 5·7; 50 = 5·10

__

c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668

__

d) mcd(116, 92) = 4

  116 = 4·29, 92 = 4·23

Answer:

See below

Step-by-step explanation:

From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore \(\overrightarrow{BD} = \vec{v}\)

Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is

\(||2\vec{v} || = \sqrt{(2x)^2 + (2y)^2} = \boxed{ \sqrt{4x^2 + 4y^2} }\)

Note: I'm assuming \(\vec{v} \in E^2\), which means the segment is in the plain.

To find the area, the heptagon can be considered as consisting of seven

triangles, each having a side of the heptagon as its base.

Reasons:

The radius of the heptagon, r = 27.87 cm

Length of each side, s = 24.18 cm

Required:

The approximate area of the heptagon

Solution:

The area of the heptagon can be considered as consisting of seven triangles

From Pythagorean theorem, we have;

\(\displaystyle Height \ of \ each \ triangle, \ h = \mathbf{\sqrt{r^2 + \left(\frac{s}{2} \right)^2 }}\)

\(\displaystyle Area \ of \ each \ triangle, \ A = \mathbf{ \frac{s}{2} \times h}\)

Which gives;

\(\displaystyle Area \ of \ heptagon, \ A_{heptagon} =7 \times \frac{s}{2} \times h = \mathbf{7 \times \frac{s}{2} \times \sqrt{r^2 + \left(\frac{s}{2} \right)^2 }}\)

Plugging in the values gives;

\(\displaystyle Area \ of \ heptagon, \ A_{heptagon} = 7 \times \frac{24.18}{2} \times \sqrt{27.87^2 - \left(\frac{24.18}{2} \right)^2 } \approx \mathbf{2,125.15}\)

The area of the heptagon given to the nearest whole number is therefore;

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Answer:

B

Step-by-step explanation:

Trust

There is sufficient evidence to conclude that the average number of hours women work each week is more than 80 hours

The hypothesIs are

Ha : μ>80

Given the sample size n=68 and sample mean X 83 , sample standard deviation s=10

The test statistic is

t = x~ - 80/s/√n

t= 83-80/10/√68

t- 2.4738634

The P-value of the test is

P-value P(T> 2.4738634)

P-value 0.0080

When  α=0.05,

Reject the null hypothesis since P-value 0.0080 a 0.05

i) The -a) 10090 two-sided confidence interval for mean based on the sample data is

{x}\pm t_{1-\α /2,n-1}\frac{s}/{√n}

Here the 95% confidence interval is

= 83 ± t1-0.05/2,67 10/V68

= (80.58,85.42)

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Value of expression (y + x) ÷ (2 + x) is 2 if x =1 and y = 1.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given

In expression

(y + x) ÷ 2 + x

x = 1

y = 1

Substituting value of x and y in the expression

(1 + 1) ÷ 2 + 1

= 2 ÷ 2 + 1

= 1 + 1

= 2

Hence, 2 is the value of expression (y + x) ÷ (2 + x) if x= 1 and y = 1.

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Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!

Answer:

b) y = -x2 + 6x + 2

Step-by-step explanation:

The option that is not a step when drawing an angle is shade the ray in a color of your choice (option c).

In geometry and related areas, an angle can be defined as a type of figure that integrates two rays or lines and in which the distance between the rays or lines defines the angle.

Angles are usually created using a protactor. This process involves drawing line section or a ray and then using this one as a guide draw the angle using a protactor. However, this process does not require using color.

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4,4 1,2

Step-by-step explanation:

1) The correct option is B.) We cannot make any conclusions for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all positive values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.

A confidence interval provides a range of plausible values for the population parameter (in this case, the difference of means). If the confidence interval contains all positive values, it suggests that the true difference of means could be positive.

However, it does not allow us to conclude that 1 is strictly greater than 2. The confidence interval gives us a range of plausible values, but it does not provide definitive information about the specific relationship between 1 and 2.

2) The correct option is A.) We can conclude that 1 < 2 for the statement if a 90% confidence interval for the difference of means 1 – 2 contains all negative values, what can we conclude about the relationship between 1 and 2 at the 90% confidence level.

If the 90% confidence interval for the difference of means 1 – 2 contains all negative values, it suggests that the true difference of means is likely to be negative.

Therefore, we can conclude, at the 90% confidence level, that 1 is statistically less than 2. However, we should note that this conclusion is based on the given confidence level and the assumption of the sampling method used to construct the confidence interval.

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Answer:

TY SIR PLS DONATE UR BRAIN AS SAID IN THE QUESTION

The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial equation is given below.

\(\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3\)

The equation can be written as

\(\rm x ^3-5 x ^2+7 x+ 13 = 0\)

The equation has a complex root \(- 3 \pm 2 \iota\)

Put x = -1, then we have

\(\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}\)

The equation is satisfied by the negative one. Then the negative one is the third root of the equation.

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Answer:

B on edge

Step-by-step explanation:

because B is -1

Answer:

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

Answer:

they are 2 and 9

Step-by-step explanation:

Set up equation for two numbers a and b:

\(3a-b=-3\) and \(a+b=11\)

solve the system of equations:

add two equations together we get:

\(3a-b+a+b=-3+11\)

\(4a=8\)

\(a=2\)

Since, a+b=11

thus  \(b = 9\)

Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85

       To calculate the mean score, add up all of the scores and divide by the total number of tests.

       To figure out what score Joshua needs to get on the fifth test, use the formula:

            Total score = mean score × total number of tests

            Total score = 85 × 5

            Total score = 425

  Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).

  Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.

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Answer:

110!

Step-by-step explanation:

The two shapes are similar which means all of the angles measures are congruent therefore since ADC is 110, then z must also be 110

Answer:

Hey there!

6 increased by a scale factor of 1.5 is 9.

9 increased by a scale factor of 1.5 is 13.5.

Thus, the area would be 9 times 13.5, or 121.5

Hope this helps :)

Answer:

Step-by-step explanation:

Let's find the enlarged area:

\( = {(scale \: factor)}^{2} \times original \: area\)

Plug the values

\( = {(1.5)}^{2} \times 6 \times 9\)

Evaluate the power

\( = 2.25 \times 6 \times 9\)

Calculate the product

\( = 121.5 \: {in}^{2} \)

Hope this helps...

Best regards!!

This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

Notice that the sequence alternates between positive and negative terms and that the denominators of each term increase by 1 while the numerators increase by 1 or -1. To find the explicit formula, we can write it in terms of its general form:

a1 = 0

a2 = -1/2

a3 = 2/3

a4 = -3/4

a5 = 4/5

a6 = -5/6

a7 = 6/7

We can see that the numerator of each term is equal to its index number, n, if n is even and equal to -n if n is odd. The denominator of each term is equal to n+1 for all terms.

Using this observation, we can write the explicit formula for the sequence as:

an = (-1)^(n+1) * n / (n+1)

where (-1)^(n+1) is equal to -1 if n is odd and 1 if n is even. This formula generates the sequence 0, -1/2, 2/3, -3/4, 4/5, -5/6, 6/7, ...

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