solve 2x+y=-2 when y=0.5x+3

Answer:

1/2 a inch was this helpful

The surface area of the prism is 264m²

A prism is a solid shape that is bound on all its sides by plane faces. There are different types of prism but the specific one we will be talking about here is triangular based prism.

The surface area of a prism is obtained by adding the area of the faces. Therefore surface area = 2B +ph

area of the base = 1/2 bh

= 1/2 × 6 × 8

= 1/2 × 48

= 24m²

using Pythagoras theorem, the hypotenuse of the triangle = √ 6²+8²

= √ 36+64

= √100 = 10m

perimeter of the base = 6+8+ 10

= 24m

Therefore SA = 2×24 + 24 × 9

= 48 + 216

= 264m²

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Let c be the number of calories burned

and let t be the time taken to burn the calories.

At 1 minute, 20 calories are burned

Mathematically, we express that as;

Thus, the function that represents the situation is;

ANSWER: The linear function that represents the situation is c=20t

Answer:

x=4/5

Step-by-step explanation:

9 - |12-20x| = 5

=>-|12-20x|= 5-9

=>-|12-20x|=-4

=>12-20x=-4

=>-20x=-4-12

=>-20x=-16

=>x=16/20

=>x=4/5

Answer:

Step-by-step explanation:x=π2,3π2

Explanation:

This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒

2

x

=

−

3

and

sin

2

x

=

1

⇒

sin

x

=

√

−

3

and

sin

x

=

√

1

⇒

sin

x

=

∅

and

sin

x

=

±

1

⇒

x

=

π

2

,

3

π

2

Hopefully this helps!

The correct description for the distribution of the sample proportion of adults in the sample who don't have health insurance is X - B(120, 0.15).

B(120, 0.15) represents a binomial distribution with parameters n = 120 (the sample size) and p = 0.15 (the population proportion of adults without health insurance).

The binomial distribution is appropriate in this case because we have a fixed sample size and each individual in the sample can either have health insurance (success) or not have health insurance (failure). The sample proportion of adults without health insurance can be calculated by dividing the number of adults without health insurance by the total sample size.

Therefore, the correct description is X - B(120, 0.15).

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Answer: A

Step-by-step explanation: it has to be a low number and that’s a low number.

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

If the value of the sample standard deviation increases, the confidence interval becomes wider and is denoted as option A.

This term is used in statistics and refers to the probability that a population parameter will fall between two set values.

it has a direct relationship with standard deviation in which its increase will also lead to the set of values being wider thereby making it the most appropriate choice.

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The options are :

a. It becomes wider

b. It becomes more precise

c. It does not change

d. It narrows

Answer:

$113

Step-by-step explanation:

Since he had $13 and now he is $100 in debt:

First, he withdrew $13 to get $0 in his bank account.

He then withdrew $100 to get -$100 in his bank account.

13 + 100 = 113

Answer:

Timmy withdrew $113

Step-by-step explanation:

The following equation represents that situation:

$13 - m = -$100

Adding m to both sides, we get:

$13 = m - $100

Combining like thers, we get m = $113

Timmy withdrew $113

The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Answer:

14

Step-by-step explanation:

If the height of the triangle is three more than four times its base, then the base of the triangle is x units and height of the triangle is 4x+3 units

The base of the triangle = x units

The height of the triangle is three more than four times its base

Four times the base = 4 × x

= 4x

Three more than four times its base = 4x+3

The height of the triangle is three more than four times its base

The height = 4x+3 units

Hence, If the height of the triangle is three more than four times its base, then the base of the triangle is x units and height of the triangle is 4x+3 units

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer: 3x - 4v

Steep by step explanation: All you do is keep it the same because you just simplify

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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Answer:

v=3.2

Step-by-step explanation:

12.8 = 4v

v= 12.8/4       isolate the variable and divide.

v= 3.2            Answer

The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T

To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.

The ideal gas law states:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:

P1 = n1RT

P2 = n2RT

The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.

To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:

ΔU = n1RT - n2RT

To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.

Composition: 78% nitrogen (N2) and 21% oxygen (O2)

Volume: 1.2 liters

Pressure: 5.4×10^5 Pa

We can assume that the temperature is constant.

Let's calculate the moles of each gas:

For nitrogen (N2):

n1 = 78% * V / Vm

= 0.78 * 1.2 L / 22.4 L/mol

≈ 0.0415 mol (rounded to four decimal places)

For oxygen (O2):

n2 = 21% * V / Vm

= 0.21 * 1.2 L / 22.4 L/mol

≈ 0.0113 mol (rounded to four decimal places)

Now, we can calculate the difference in internal energy:

ΔU = n1RT - n2RT

= (0.0415 mol) * R * T - (0.0113 mol) * R * T

= (0.0415 - 0.0113) mol * R * T

= 0.0302 mol * R * T

Since the temperature (T) is the same for both scenarios, we can simplify the equation to:

ΔU = 0.0302 mol * R * T

The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).

Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:

ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T

Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.

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Answer: It's in the screenshot

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.

The other parameters are given as follows:

\(\overline{x} = 505, s = 6, n = 9\)

Hence:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 505 - 2.306\frac{6}{\sqrt{9}} = 500.39\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 505 + 2.306\frac{6}{\sqrt{9}} = 509.61\)

The 95% confidence interval for the mean amount of liquid per bottle (in mL) in this production run is (500.39, 509.61).

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The division will give a value of 0.15 × 10^10.

The information is to divide the quantity 1.365 times ten raised to the eighteenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.

This will be:

(1.365 × 10^18) / (9.1 × 10^8)

= 1.365/9.1 × 10^10

= 0.15 × 10^10

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Answer:

\(\boldsymbol{\boxed{f(-4) = -1}}\)

Step-by-step explanation:

\(\displaystyle f(x) = \left \{ {{x + 3, x < -1} \atop {-4x -2,x \geq 1}} \right.\)

\(-4 < -1 \Longrightarrow f(-4) = -4 + 3 =-1\)

\(\boxed{f(-4) = -1}\)

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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a) The total number of functions will be 1,296 functions.

b) The total number of injective functions is  360.

c) There are total 15 increasing injective functions.

a) In order to calculate the total number of functions there are total 6 possible choices for each element present in the domain which is calculated to be  6^4 = 1,296 functions.

b)  An injective function can be defined as a function whose no two elements can me related to the same element present in the codomain. The first element present in the domain can be mapped to any of the 6 elements present in the codomain. But the second element of the domain can only be mapped with the 5 left elements os the codomain. Similarly third element of the domain could be related with only 4 elements,  and the fourth and the last element can be engaged to any of the remaining 3 elements.Therefore, the total number of injective functions can be calculated as 6 x 5 x 4 x 3 = 360.

c) In the case of increasing function, the values of the function increases as the input increases. In the mentioned function there are 4! = 24 ways to arrange the elements in the domain, but not all of these essentially corresponds to increasing functions. For example, the function f(1) = 4, f(2) = 3, f(3) = 2, f(4) = 1 is not increasing. But, if we choose any 4 different elements from the codomain, there is exactly one way to order them to create an increasing function. Therefore, there are total 15 ways to choose 4 distinct elements from the codomain, so there are 15 increasing injective functions.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

hi :]

Step-by-step explanation:

Answer:  8 days

Step-by-step explanation:

Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.

i.e. \(\dfrac{4}{5}\) x  (1 day) = \(\dfrac{1}{10}\) x (an order of sneakers)

Multiply 10 on both the sides , we get

\(\dfrac{4}{5}\times10\) x  (1 day) = \(\dfrac{1}{10}\times10\) x (an order of sneakers)

⇒\(4\times2\) x  (1 day) = an order of sneakers

⇒\(8\) x  (1 day) = an order of sneakers

i.e. Time to complete an order of sneakers = 8 days

Hence, it will take 8 days to complete the entire order of sneakers.

Answer: 8 days total

Step-by-step explanation:

Write an example from daily life that uses rational numbers .

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Answer:

Step-by-step explanation:

56