Graph -5x + 2 > 3y and 3x-4y <3

Answer:

if you mean by addition its 5 and if its multiplication then its 6

Step-by-step explanation:

(a) To find a basis of the intersection U ∩ V, we need to determine which vectors are in both U and V. We can do this by setting up a system of equations using the given generating vectors:

For vector (x, y, z, w, t) to be in U, it must satisfy:
X + y + z + t = 0
2x + y + t = 0
Z = 0

For vector (x, y, z, w, t) to be in V, it must satisfy:
X + y + t = 0
3x + 2y + 2t = 0
Y + z + w + t = 0

Solving these equations, we find that the only common solution is x = -1, y = 1, z = 0, w = -2, t = 1.

Therefore, a basis for U ∩ V is the vector (-1, 1, 0, -2, 1).

(b) To find the dimension of U + V, we can consider the generating vectors for U and V. If these vectors are linearly independent, then the dimension of U + V will be the sum of their individual dimensions.

Looking at the generating vectors for U and V, we can see that they are all linearly independent. Therefore, the dimension of U + V is the sum of the dimensions of U and V, which is 3 + 3 = 6.

(c)  To find a basis for U + V, we can combine the generating vectors for U and V and remove any linearly dependent vectors. The combined set of generating vectors is:
(1, 1, 1, 0, 1)
(2, 1, 0, 0, 1)
(0, 0, 1, 0, 0)
(1, 1, 0, 0, 1)
(3, 2, 0, 0, 2)
(0, 1, 1, 1, 1)

By performing row operations or using other methods, we can determine that these vectors are linearly independent. Therefore, a basis for U + V is the set of all six generating vectors:

{(1, 1, 1, 0, 1), (2, 1, 0, 0, 1), (0, 0, 1, 0, 0), (1, 1, 0, 0, 1), (3, 2, 0, 0, 2), (0, 1, 1, 1, 1)}.


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The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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Answer: 72

Step-by-step explanation:

25:18 - 25 total : 18 made

25:18 x 4 = 100:72

100:72- 100 total : 72 made

Answer:

we should expect him to make 72 shots

Step-by-step explanation:

25x4=100

so if we multiply 18 by 4 we get 72

Answer:

the correct answer is A

Answer:

degree x π/180 = radian

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

1) -290° × π/180 = -5.061rad

3) 970° × π/180 = 16.93rad

5) 510° × π/180 = 8.901rad

7) 210° × π/180 = 3.665rad

9) 240° × π/180 = 4.189rad

11) -945° × π/180 = -16.49rad

13) 315° × π/180 = 5.498rad

15) -520° × π/180 = -9.076rad

17) 300° × π/180 = 5.236rad

19) 555° × π/180 = 9.687rad

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

i hope this helps!

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Since the room temperature is 22 degrees Celsius,

\(\frac{dT}{dt}=k(T-22)\)

Solving the differential equation,

\(\frac{1}{T-22} dT=k dt \\ \\ \int \frac{1}{T-22} dT=\int k dt \\ \\ \ln|T-22|=kt+C\)

When t=0, the temperature is 100 degrees.

\(\ln 78=C \\ \\ \implies \ln|T-22|=kt+\ln 78\)

When t=1, the temperature is 80 degrees.

\(\ln 58=k+\ln 78 \implies k=\ln(29/39) \\ \\ \implies \ln|T-22|=t \ln(29/39)+\ln 78\)

Setting t=4,

\(\ln|T-22|=4\ln(29/39)+\ln 78 \\ \\ T=22+e^{4\ln(29/39)+\ln 78} \approx \boxed{46}\)

Answer: 3.5 units

Step-by-step explanation:

We can count how many units the 2 points are away from each other and get 3.5

Or we can use the origin as a reference point, and since (-3,0) is 3 units away, and (0.5,0) is 0.5 units away. Adding the distances gives us 3.5 units

Answer:1417-109x<100

Step-by-step explanation:

The height of the prism whose volume is 600cm^3 is 10 cm

What is the Volume of a prism?

The total area that a prism takes up in three dimensions is known as its volume. It is defined mathematically as the result of the base's area and length.

Therefore,

Prism volume is equal to Base Area x Length.

Cubic units are the unit of measurement used to indicate a three-dimensional object's volume.

A triangular prism's volume

A triangular prism is a prism that has three rectangular sides and two triangle bases. The formula for a triangular prism's volume is as follows since the cross-section of a triangular prism is a triangle:

The volume of a Triangular Prism = (½) abh cubic units.

Where

a is a triangular prism's apothem length.

b is the triangular prism's base length.

h is a triangular prism's height.

The volume of a triangular prism is area x length

Volume = 600cm^3

base =6cm

length = 20cm

height=?

The area of the triangle is 1/2 x base x height = 3 x height

volume = area x length

volume= 3 x height x 20

600 = 60 x height

height = 10 cm

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The volume of ornament B is 125 times larger than the volume of ornament A.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

Scale factor of volume = (Scale factor of dimensions)³

Scale factor of volume = (5)³

Scale factor of volume = 125

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A and D choices (Plato)

Step-by-step explanation:

The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:

100(12) − 200(0) = 1,200.

The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:

100(0) − 200(12) = -2,400.

Both of these scores are possible in the game, so they are both viable.

Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.

In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.

Let's translate the argument into symbolic form using the following symbols:

B: Brazil has a huge foreign debt.

A: Argentina has a huge foreign debt.

The argument can be represented as follows:

B → (B ∨ A)

To determine the validity of the argument, we can construct a truth table for the expression (B → (B ∨ A)). The truth table will include all possible combinations of truth values for B and A, and we will evaluate the truth value of the entire expression for each combination.

The truth table for the argument is as follows:

B A B ∨ A B → (B ∨ A)

T T T T

T F T T

F T T T

F F F T

As we can see from the truth table, regardless of the truth values of B and A, the expression B → (B ∨ A) always evaluates to true. Therefore, the argument is valid because the conclusion is always true when the premise is true.

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The reading on the scale is 590 N.

To calculate weight on elevator moving upward with an acceleration of 2 m/s, we need to use the equation:

Weight = mass x gravity

where mass = weight / gravity

The weight of the person is 490 N, and gravity is 9.8 m/s². Therefore, the mass of the person is:

mass = 490 N / 9.8 m/s² = 50 kg

When the elevator is accelerating upwards with 2 m/s², the net force on the person is:

F = ma = (50 kg) x (2 m/s²) = 100 N

Therefore, the reading on the scale is:

reading = Weight + F = 490 N + 100 N = 590 N

So, the reading on the scale is 590 N.

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Answer:

can you mark me a brainlist

Step-by-step explanation:

thanks

Answer:

y = -7/9 x +1

Step-by-step explanation:

7x + 9y = 9

The slope intercept form is y = mx+b  where m is the slope and b is the y intercept

Subtract 7x from each side

7x -7x+ 9y =-7x+ 9

9y = -7x+9

Divide each side by 9

9y/9 = -7/9 x +9/9

y = -7/9 x +1

The  slope is -7/9 and the y intercept is 1

Answer:

\(y = \frac{7}{9} x + 1\)

Step-by-step explanation:

\(7x + 9y = 9 \\ 9y = 9 - 7x \\ y = \frac{9 - 7x}{9} \\ y = \frac{7}{9} x + 1\)

hope this helps

brainliest appreciated

good luck! have a nice day!!

1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.

Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.

Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.

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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"

mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.

mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.

In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.

In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.

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(a) For all n, if n is an odd integer, then the square of n is odd. (b) For all n, if n is an odd integer, then the square of n is an odd integer. (c) There exists an integer n such that the square of n is not odd.

(a) For all n, if n is an odd integer, then the square of n is odd .The statement is rewritten in the universal form "For all n" indicating that the property holds true for every odd integer. (b) For all n, if n is an odd integer, then the square of n is an odd integer. The statement is rewritten in the universal form with an implication "if...then" structure, specifying that if n is an odd integer, then the square of n will also be an odd integer. (c) There exists an integer n such that the square of n is not odd. The negation of the statement states that there exists at least one integer n for which the square of n is not an odd integer, implying that there is a counterexample to the original statement.

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Answer:

15.47

Step-by-step explanation:

Since the four is in the hundrenths place you use the digit to the right of it, and if the number is greater than 5 you add one more. Thus the answer being 15.47

Answer:

The answer would be 25.

4x4=16

16+9=25

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

25

Step-by-step explanation:

rewrite the equation

(4x4)+9

do the equation

16+9=25

Answer:

A is the correct answer

Answer:

x-4y=8

Step-by-step explanation:

y=mx+c comparing with given eq

we get slope(m1)=-4

since both are prependicular

m1×m2=-1

-4×m2=-1

m2=1÷4

eq:-y-y1=m2 (x-x1)

y-1=(1÷4)(x-8)

x-4y=4

The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Answer:

5(9y + 4).

Step-by-step explanation:

GCF of 45y and 20 is 5

Answer is 5(9y + 4).