Please solve these questions

Answer:

y = -3/2x + 2

The line starts on (0,2) and then it run 3 spaces down and 2 spaces to the right. Hope this helps, thank you !!

Answer:

I)

\(2a + 2b = -10\text{ or } 2a + 2b = 10\)

II)

\(2a - 2b = -2 \text{ or } 2a-2b= 2\)

Step-by-step explanation:

We are given that:

\(\displaytstyle a^2 + b^2 = 13 \text{ and } ab= 6\)

I)

Recall the perfect square trinomial pattern:

\(\displaystyle (a+b)^2 = a^2 + 2ab + b^2\)

Rewrite:

\(\displaystyle (a+b)^2 = (a^2 + b^2) + (2ab)\)

Substitute:

\(\displaystyle (a+b)^2 = (13) + (12)\)

Evaluate:

\(\displaystyle (a + b)^2 = 25\)

Take the square root of both sides:

\(\displaystyle a + b = \pm\sqrt{25} = \pm5\)

Hence:

\(\displaystyle 2a + 2b = \pm 10\)

Therefore:

\(\displaystyle 2a + 2b = -10 \text{ or } 2a + 2b = 10\)

II)

Likewise:

\(\displaystyle (a-b)^2 = a^2 - 2ab + b^2\)

Substitute:

\(\displaystyle (a-b)^2 = (13) -(12)\)

Solve:

\(\displaystyle \begin{aligned} (a-b)^2 &= 1 \\ a-b &= \pm \sqrt{1} \\ a-b &= \pm 1\\ 2a - 2b &= \pm 2\end{aligned}\)

In conclusion:

\(2a - 2b = -2 \text{ or } 2a-2b= 2\)

Answer:

7.5

Step-by-step explanation:

Percent Error =  

Vobserved - Vtrue

Vtrue

=  

5.7 - 5.3

5.3

=  

0.4

5.3

=  7.5471698113208%

Answer:7.5

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

At the time of launch, x will be 0 because the object hasn't been thrown yet. Therefore, its height will be 60.

Answer:

The answer for it is 60.

Step-by-step explanation:  

5*0+20*0+60

And due to the simplification by keeping the value 0 in place of x. So if any term is multiplied with 0 the value of that term will be 0. So by adding 0+0+60 . Therefore , the height will be 60 .

More explanation:

At the time of launch, x will be 0 because the object have not  been thrown yet.So its height will be 60.

Given a spherical water tank with an inner radius of r meters has its lowest point h meters above the ground, the amount of work W required to fill the tank can be determined using the five-step slicing method.

Let the volume of the tank be V, the density of water be ρ, and g be the acceleration due to gravity.Steps: 1) Determining the axis of rotation2) Slicing the solid into thin disks3) Expressing an element of volume and mass4) Computing the work done in lifting an element of mass5) Computing the total work done1.

Determining the axis of rotationThe axis of rotation is the vertical axis through the center of the sphere.2. Slicing the solid into thin disksThe solid sphere is to be sliced into thin disks perpendicular to the axis of rotation. Let a thin disk of thickness Δx be sliced out at a distance x from the center of the sphere. Hence, the radius of this disk is given by r′ = sqrt(r^2 − x^2).

The surface area of this disk is given by A = 2πr′Δx.3. Expressing an element of volume and mass the volume of the thin disk is given by V′ = A Δx, and the mass of water in the thin disk is given by Δm = ρV′ = ρAΔx.4. Computing the work done in lifting an element of mass Let the thin disk be lifted a height y above the ground. Therefore, the work done in lifting this thin disk is given by ΔW = Δmgy.5. Computing the total work doneIntegrating both sides of the equation, we get ∫(0)^(h) ΔW = ∫(0)^(h) Δmgy = ∫(0)^(h) ρAgyΔx = ρgπ∫(0)^(r) 2r′(r^2 − r′^2)^{1/2} dx.

Work done in filling the tank = W = ρgπ∫(0)^(r) 2r′(r^2 − r′^2)^{1/2} dx = (4/3) πρg r^2 [r − (3/8)h]Therefore, the amount of work W required to fill the spherical water tank is given by (4/3) πρg r^2 [r − (3/8)h], where r is the inner radius of the tank and h is the distance between the lowest point of the tank and the ground.

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To clean the office building's 200-gallon aquarium It will take Candice 20 minutes to drain the entire 200-gallon aquarium.

To clean the office building's 200-gallon aquarium, Candice needs to remove the fish and drain the water. The water drains at a constant rate of 10 gallons per minute.
So, the time it takes to drain the entire 200-gallon aquarium can be calculated by dividing the total volume of water by the drain rate.
200 gallons / 10 gallons per minute = 20 minutes
Therefore, it will take Candice 20 minutes to drain the entire 200-gallon aquarium.

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An alloy contains 15% manganese and 85% iron.

manganese/ iron = 15/85= 3/17.

manganese = 37.5 kg.

iron = 37.5 x 17/ 3= 212.5 kg

alloy = manganese + iron = 37.5 +212.5 = 250kg

250kg alloy is produced from 37.5 kg manganese and 212.5 kg Iron.

here,

An alloy contains 15% manganese and 85% iron.

manganese/ iron = 15/85= 3/17.

manganese = 37.5 kg.

iron = 37.5 x 17/ 3= 212.5 kg

alloy = manganese + iron = 37.5 +212.5 = 250kg

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Answer:1/9 or decimal form it’s ≅ 0.111111

Answer:

Percent symbol 2 I think

Answer:

0.03

Step-by-step explanation:

Percent increase= amount of increase/ original amount  

66 - 64 / 66 = 2 / 66 = 0.0303030303

Given:

solving for a:

ANSWER

a = (y - g)/x

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

suppression

prevention - keeping a pest from becoming a problem. suppression - reducing pest numbers or damage to an acceptable level, and . eradication - destroying an entire pest population.

How can we manage the population pest?

In the field, there are three main approaches to biological control: Natural enemy conservation, the introduction of new natural enemies, and the establishment of a stable population are referred to as "classical biological control." Bulk raising and periodic release, whether on a seasonal or inundative basis, are the other two methods.

What are the elements that influence the expansion of the pest population?

In general, heat, humidity levels, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).

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reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.

Prevention is the process of preventing a pest from becoming a problem. Suppression is the process of reducing pest numbers or damage to an acceptable level, and Eradication is the destruction of an entire pest population.

There are three main approaches to biological control in the field: "Classical biological control" refers to the conservation of natural enemies, the introduction of new natural enemies, and the establishment of a stable population. The other two methods are bulk raising and periodic release, whether seasonal or inundative.

What factors influence the expansion of the pest population?

In general, heat, humidity, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).

reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.

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Answer:

\(y=x+8\)

Step-by-step explanation:

Slope of straight line can be calculated as

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Here \((x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)\)

\(m =\frac{10-5}{2-(-3)}\\m=1\)

Equation of straight line in slope intercept form is

\(y-y_1=m(x-x_1)\\y-5=(x+3)\)

\(y=x+8\)

The product of the matrices ( 5 6 ) and ( 1 7 ) is equal to 47.

The number of columns in the first matrix must equal the number of rows in the second matrix in order for two matrices to be multiplied. In this instance, the 1x2 multiplied by 2x1 matrix satisfies this requirement.

In many disciplines, such as computer graphics, physics, and engineering, matrix multiplication is a key idea in linear algebra. It can be used to transform data, determine eigenvalues and eigenvectors, and solve systems of linear equations.

To get the product of two matrices, we need to perform the dot product of each row in the first matrix with each column in the second matrix.

Given the matrices ( 5 6 ) and ( 1 7 ), we can perform the dot product as follows:

( 5 6 ) ( 1 7 ) = ( (5)(1) + (6)(7) )

= (5 + 42)

= 47

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Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer:consistent and independent

Step-by-step explanation:

The given equation is consistent and independent. The correct option is 3.

Linear equations are called "linear" because they represent a straight line when graphed in two dimensions.

We have three equations and three unknowns, so we can determine the type of system by solving it.

Substituting the values of X and Y into the third equation, we get:

-5 - 6 + z = 0

z = 11

Now, substituting the values of X, Y, and Z into the first two equations, we get:

X = 5

Y = 6

Therefore, the system is consistent and independent, which means it has a unique solution. The solution is (5, 6, 11). The correct option is 3.

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Answer:

5

Step-by-step explanation:

75 / 5 = 15

5 + 5 = 10

so 5 does both

Answer:

Triangle(C)

Step-by-step explanation:

All the Exterior Angles of a polygon add up to 360°, so: each exterior angle must be 360°n (where n is the number of sides). So, 360n=120 ; n=360/120=3 It is a triangle.

Answer:

C

Step-by-step explanation:

also yessssssss hazbin hotel is baby (angel dust is my favorite, moxxie is my second favorite)

Answer:

O D. 3x2 + 2x-3

Answer:

A.7x2-5x questions 2of 20

Answer: all points are a solution except for (4, 2) (and (2, 0) i think)

Step-by-step explanation:

Answer:

Suppose that we have a circle of radius R.

The total perimeter of this circle will be:

P = 2*pi*R

Where pi = 3.14159...

Now, if we have a section of this circle with an angle A, the "chord" of this section will be:

C = (A/360°)*2*pi*R.

Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.

In this particular case, the chord is equal to the radius of the circle, then we get:

C = R =  (A/360°)*2*pi*R

We need to solve this for A.

R =  (A/360°)*2*pi*R

We can divide both sides by R to get:

1 =   (A/360°)*2*pi

Now we need to isolate A.

(360°/2*pi) = A = 57.3°

This would be the angle in the minor arc.

And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)

The angle for the major arc is:

A = 360° - 57.3° = 302.7°

10.5 lawn tickets and 3.5 pavilion seats were sold, which equals the total cost of $462.

We can utilise substitution to solve this set of equations. Let x represent the number of lawn tickets and y represent the number of pavilion seats. We can create two equations to represent the total cost of the tickets.

26x + 54y = 462

x + y = 14

To find the value of y, we can change the value of x from the second equation into the first equation.

26(14 - y) + 54y = 462

364 - 26y + 54y = 462

-26y + 54y = 462 - 364

28y = 98

y = 3.5

The second equation can then be solved for x by reintroducing the value of y.

x + 3.5 = 14

x = 10.5

This means that 10.5 lawn tickets were sold, and 3.5 pavilion seats were sold. To check if this solution makes sense, we can substitute our answer into the first equation to calculate the total cost.

26(10.5) + 54(3.5) = 462

This equation does equal 462, so our solution is correct. This makes sense in the context because it is a valid combination of tickets that adds up to the total cost of $462.

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The distribution of intelligence test scores in the general population forms a bell-shaped pattern is known as a normal distribution.

Normal distribution, also known as Gaussian distribution, is a continuous probability distribution used in statistics. The normal distribution has a bell-shaped curve that is symmetrical about the mean (average).The normal distribution has some important properties, including that its mean, median, and mode are equal.

Furthermore, the total area under the curve is 1. A normally distributed population is one in which the majority of the data is clustered around the mean, with fewer data points further from the mean. It is a common distribution for a variety of natural phenomena, and many statistical analyses depend on it.

The normal distribution plays a critical role in statistical hypothesis testing and other statistical analyses because of its properties, and it has numerous applications in science, engineering, and finance.

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y= √x

Identify the equation of the function.

y= √-1+3

Answer:

b. y = square root x

Step-by-step explanation:

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.

Here are some examples of the measures of the three angles of an acute triangle:

45 degrees, 45 degrees, 90 degrees

30 degrees, 60 degrees, 90 degrees

35 degrees, 40 degrees, 105 degrees

60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

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Answer:

1.5

2.1/5

Step-by-step explanation: