For a point to be a solution to a

system of inequalities, the point

must make_ of the

inequalities true.

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is \(\sqrt{2}\) times of the length of any of the legs. Hence, we get the following expression:

\(h = \sqrt{2} \cdot l\) (1)

Where:

\(l\) - Length of the leg, in units.

\(h\) - Hypotenuse, in units.

If we know that \(h = 11\sqrt{2}\), then the length of the leg is:

\(l = \frac{h}{\sqrt{2}}\)

\(l = 11\)

The length of the leg is 11 units.

Answer: -1, 1.5, 3 1/12

Step-by-step explanation: I was tested on these type of questions

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

The answer is 54.002

Answer:

  base: 6 ft by 6 ft

  height: 3 ft

Step-by-step explanation:

The least material will be used when the area of the tank is a minimum.

For base dimensions x and y, and height z, the area of the material used to construct the tank will be ...

  A = xy +2xz +2yz . . . . . . . sum of areas of rectangular faces

There are several ways to choose values of x, y, and z that minimize A. One of them uses Lagrange multipliers. That can be avoided by making the assumption that the minimum area will require the base to be square (x=y). Then we have ...

  A = x^2 +4xz

The height will be ...

  z = (A -x^2)/(4x)

And the constraint on volume requires ...

  xyz = 108 = x^2·z = x^2(A -x^2)/(4x)

Simplifying, we have ...

  432 = x(A -x^2)

  A = 432/x +x^2 . . . . . an expression for area that we can minimize

The minimum value of A will be found where its derivative with respect to x is zero:

  dA/dx = -432/x^2 +2x = 0

  x^3 = 216 . . . . . multiply by x^2/2 and add 216

  x = 6 . . . . . . . . cube root

Then the value of z is ...

  z = (A -x^2)/(4x) = ((432/x +x^2) -x^2)/(4x) = 432/(4x^2) = 108/36 = 3

The dimensions of the tank that minimize its area for the given volume are ...

  base: 6 ft by 6 ft

  height: 3 ft

__

Additional comment

You may notice that the shape of the tank is that of half a cube. That is, the height is half the length of the side of the square base. This has the effect of making the areas of opposite sides equal to the are of the base. That is, each of the terms in the area expression:

  A = xy +2xz +2yz

have equal values: 36.

This is a typical result of this sort of optimization problem. There is nothing about the function for A that favors having the terms be of different values, so the optimum distribution of material makes them all the same.

__

If you go through the full 3-dimensional optimization using Lagrange multipliers, you get exactly the same result. The base is square, and each side has half that area.

Answer:

4 or D

Step-by-step explanation:

↓Energy Pyramid Provided Below↓

Answer:

the last one

Step-by-step explanation:

Answer: I dont get if your tryna evaluate but if you tryna evaluate with scientific notation its 1.625 x 10^14 thats what i got ima go with b--

what direction are you being asked to reflect them

Step-by-step explanation:

i can give an easy answer and explanation then

Answer : 12312

Step-by-step explanation : According to BODMAS, Addition (+) comes first

Hence --  9 + 19 + 12 + 12323 = 12363

               12363 - 12 - 39  = 12363 - 51

                                          = 12312

4. Conversion of binary to octal and hexadecimal.

1010101110₂

OCTAL: Group the binary digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 1010101110 is 001 010 101 110.

Now, substitute each group with an octal digit.

001 010 101 110₂ = 2 5 5 6₈

HEXADECIMAL: Group the binary digits into groups of four, starting from the right.

Add leading 0's if necessary.

So, 1010101110 is 0101 0101 1100.

Now, substitute each group with a hexadecimal digit.

0101 0101 1100₂ = 5 5 C₁₆

b. 101010011100₂

OCTAL: Group the binary digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 101010011100 is 001 010 100 111 000.

Now, substitute each group with an octal digit.

001 010 100 111 000₂ = 2 5 4 7 0₈

HEXADECIMAL: Group the binary digits into groups of four, starting from the right.

Add leadings 0's if necessary.

So, 101010011100 is 0101 0100 1110.

Now, substitute each group with a hexadecimal digit.

0101 0100 1110₂ = 5 4 E₁₆.

5. Conversion of octal to hexadecimala.

746128:

Group the octal digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 746128 is 007 461 028.

Now, substitute each group with a hexadecimal digit.

007 461 028₈ = 0 3 1 4 0 2₁₆

b. 2746358:

Group the octal digits into groups of three, starting from the right.

Add leadings 0's if necessary.

So, 2746358 is 010 111 100 110 101 100.

Now, substitute each group with a hexadecimal digit.

010 111 100 110 101 100₈ = 2 7 C 6 5 4₁₆.

6. Conversion of hexadecimal to octal.

To know more about hexadecimal  visit:

https://brainly.com/question/28875438

#SPJ11

Answer:

h = 3 ft

Step-by-step explanation:

The lateral surface area of a cylinder is given by

LSA=2πrh  where r is the radius and h is the height

The diameter is 312 inches

Changing to ft

312/12 =26 ft

Dividing by 2 to get the radius

26/2 = 13 ft

LSA=2πrh

Using 3.14 for pi

245 ft^2 = 2 * 3.14* 13 ft * h

245 = 81.64 h

Divide each side by 81.64

245/81.64 = 81.64 h/81.64

3.000979912 = h

To the nearest foot

3 = h

Answer:

h=3

Step-by-step explanation:

The maximum number of meals the family can eat at the restaurant is 11

Amount saved by Dana for her upcoming vacation = 450

Average cost when Dana cooks lunch or dinner  = 10

Average cost when the family goes to a restaurant for lunch or dinner = 40

Maximum number of meals the family can have at the restaurant  = Amount saved by Dana/Average cost of a meal when the family goes to a restaurant

=450/40

= 11.25 or 11

So, the maximum number of meals the family can eat at the restaurant is 11 with a budget of 450.

Learn more about arithmetic:

https://brainly.com/question/22260035

#SPJ4

The equation to get m for a given value of g is:

(1800 - 10g)/45 = m

Ok, here we have the equation:

1,800 = 10g + 45m

We want to find an equation so we can find the value of m for a given value of g, then, we need to isolate m in the above equation:

First, we can subtract 10g in both sides, so we get:

1,800 - 10g = 45m

Now we can divide both sides by 45, so we get:

(1800 - 10g)/45 = m

That is the equation that we can use to find the value of m, we just need to evaluate it in the given value of g.

If you want to learn more about equations:

https://brainly.com/question/13763238

#SPJ1

Answer:

The answer is m = -2/9 g + 40

Answer:

Step-by-step explanation:

number of likely voters = 2022

candidate A = 49%

candidate B = 46%

margin of error = 5%

using the concept of a confidence interval to explain

from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.

also the margin of error is 5% which is higher than the 3% difference between the candidates. this margin error means that the 5% can vote for either candidate A or candidate B .which makes the results TOO CLOSE TO CALL

Answer:

(x/-5) - 9 = 2

Step-by-step explanation:

The area of the circle-shaped swimming pool with a radius of 5 meters is 78.5 square meters.

According to the question,

We have the following information:

Radius of a circle-shaped swimming pool = 5 meters

We know that the following formula is used to find the area of a circle:

Area = π\(r^{2}\) where r is the radius of circle

(More to know: the circumference of circle is found using 2πr.)

Area of pool = 3.14*5*5

Area of pool = 78.5 square meters

Hence, the area of the circle-shaped swimming pool with a radius of 5 meters is 78.5 square meters.

To know more about area of the circle here

https://brainly.com/question/28642423

#SPJ1

The type of influence on wellness that this represents is given as follows:

A. Social.

An influence on wellness is an activity that improves the morale of certain aspect of our lives.

The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:

Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.

For example, reading a book would be intellectual influence, while recycling would be environmental influence.

More can be learned about influences on wellness at https://brainly.com/question/4639722

#SPJ1

The Rate Of Change of the Area is -68 inch/sec which means  area is decreasing .

In the question ,

it is given that ,

the length of rectangle is = 4 inches

the width of rectangle is = 8 inches

also given that the length is decreasing at the rate of 7 in/sec ,

which mean dl/dt = -7 in/sec

the width is shrinking at the rate of 3 in/sec ,

which means dw/dt = -3 in/sec

w know that the Area of the Rectangle = length × width

A = l \(\times\) w

On differentiating the area with respect to "t" , we get

dA/dt \(=\) l × (dw/dt) \(+\) w × dl/dt

= 4 × (-3) \(+\) 8 × (-7)

= -12 - 56

= -68 in/sec

Therefore , The Rate Of Change of the Area is -68 inch/sec that is area is decreasing .

Learn more about Rate Of Change here

https://brainly.com/question/29108218

#SPJ4

Answer:

x = 8

y = 8

Step-by-step explanation:

y = 8

2x - 3y = -8

We substitute 8 in for y and solve for x

2x - 3(8) = -8

2x - 24 = -8

2x = 16

x = 8

Let's Check the answer.

2(8) - 3(8) = -8

16 - 24 = -8

-8 = -8

So, x = 8 and y = 8 is the correct answer.

Answer:

x = 8 and y = 8.

Step-by-step explanation:

To solve the system of linear equations using the elimination method, we'll eliminate the variable "y" by substituting the given value of y into the second equation. Let's start:

Given equations:

y = 8

2x - 3y = -8

Substitute y = 8 into equation 2:

2x - 3(8) = -8

2x - 24 = -8

Next, we'll solve this equation for x:

2x - 24 = -8

2x = -8 + 24

2x = 16

x = 16/2

x = 8

Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:

y = 8

So, y = 8

Therefore, the solution to the given system of equations is x = 8 and y = 8.

Answer:

The answer should be C) 4x + 5x = 180

Step-by-step explanation:

Answer:

4x+5x=180

Step-by-step explanation:

to find x they must both add up to 180

Answer:

DC = 1.92 inches

AD = 11.08 inches

Step-by-step explanation:

From the figure given above, angle ABC is a right angle triangle where

AB = 12 inches

BC = 5 inches

Use pythagorean theorem to find AC

AC^2 = AB^2 + BC^2

Substitutes all the parameters into the formula

AC^2 = 12^2 + 5^2

AC^2 = 144 + 25

AC = sqrt ( 169 )

AC = 13 in

Also,

BD^2 = AB^2 - AD^2

Let AD = 13 - x

Substitute all into the formula

BD^ = 12^2 - (13 - x)^2 ..... (1)

Moreso,

BD^2 = BC^2 - DC^2

Let DC = x

Substitute all into the formula

BD^2 = 5^2 - x^2 ...... (2)

Equate equation 1 and 2

12^2 - ( 13 - x )^2 = 5^2 - x^2

144 - (169 - 26x + x^2) = 25 - x^2

Open the bracket

144 - 169 + 26x - x^2 = 25 - x^2

-25 + 26x = 25

Collect the like terms

26x = 50

X = 50/26

X = 1.92 inches

Therefore, DC = 1.92 inches

And AD = 13 - 1.92 = 11.08 inches

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

To learn more about chi-square click here: brainly.com/question/32379532

#SPJ11

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

The mass and acceleration of a K+ ion are given as 6.5 × 10⁻²³ kg and 1.7 × 10⁶ m/s², respectively.

To calculate the charge on the K+ ion, we need to use the formula:

F = ma

Where F is the force, m is the mass, and a is the acceleration.

We can rearrange the formula to solve for the force:

F = ma

F = (6.5 × 10⁻²³ kg) × (1.7 × 10⁶ m/s²)

F = 1.105 × 10⁻¹⁶ N

Next, we can use another formula to calculate the charge on the K+ ion:

F = qE

Where F is the force, q is the charge, and E is the electric field strength. We can rearrange the formula to solve for the charge:

q = F/E

We are given the acceleration of the K+ ion, which we can use to find the electric field strength:

E = a/q

We can substitute the value of acceleration a = 1.7 × 10⁶ m/s² and solve for the electric field strength:

E = a/q

q = a/E

Mass of K+ ion m = 6.5 × 10⁻²³ kg

Acceleration a = 1.7 × 10⁶ m/s²

Charge on K+ ion q = 1.6 × 10⁻¹⁹ C

The charge on the K+ ion is 1.6 × 10⁻¹⁹ C. This can be calculated using the force and electric field strength, which are related to the mass and acceleration of the ion.

To know more about force visit:

brainly.com/question/30526425

#SPJ11

Answer:

35 5x7=35

Step-by-step explanation:)

35 \(hope you love it\)

The two necessary instance variables for representing a fraction would be the numerator and the denominator.

The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.

These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.

Read more about fraction

brainly.com/question/17220365

#SPJ4

Answer:

1000a+100b+10c+d

Step-by-step explanation:

place value of a =1000×a

place value of b=100×b

place value of c=10c

place value of d=1×d

Answer:

Step-by-step explanation:

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:

Just took the Quick Check :)

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.

We have,

Thermal energy is a measure of an object or substance’s heat:

While thermal energy and heat are related, they are not exactly the same thing.

Heat is the transfer of thermal energy between objects or substances due to a temperature difference.

Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.

Thermal energy is kinetic energy:

While thermal energy is related to kinetic energy, they are not exactly the same thing.

Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.

Thermal energy is the energy stored in an object’s chemical bonds:

While chemical bonds do store energy, this is not the best description of thermal energy.

Thermal energy specifically refers to the energy stored in the movement of an object's particles.

Therefore,

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

Learn more about thermal energy here:

https://brainly.com/question/21389403

#SPJ2