Classify the following triangle by its side lengths:

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

[tex]m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3[/tex]

The rate of change of the line or slope of the line is -3

Equation of the line is given by

[tex](y-0)=-3(x-0)\\\Rightarrow y=-3x[/tex]

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

14

Divide 98 by 7, you get 14.

This is how many starburst are in each packet.

Answer:

2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space

4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...

Answer:

None of the above

Step-by-step explanation:

15/45=1/3

Answer:

None of those options lol

Step-by-step explanation:

But the answer is 1/3

Answer:

44

Step-by-step explanation:It's 44 because 156,200 divided by 3.55=44.

If jim koslo earns $156,200 annually as a plant manager. The state tax rate in his state is 3.55% of taxable income. then 5545.1 is the amount is withheld yearly for state income tax

percentage, a relative value indicating hundredth parts of any quantity.

Given,

jim koslo earns $156,200 annually as a plant manager.

The state tax rate in his state is 3.55% of taxable income.

We need to find the  amount is withheld yearly for state income tax

We need to find 3.55% of 156200

First we have to convert 3.55% to decimal by dividing with 100

3.55/100=0.0355

Now multiply 0.0355 with 156200

0.0355×156200

5545.1

Hence 5545.1 is the amount is withheld yearly for state income tax.

To learn more on Percentage click:

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Answer:

you need yarn

Step-by-step explanation:

3fts times 12 is equal to=kuha ka calculator

Answer: 12 yd/min = 0.6 ft/seconds.

Because: 36/60 = 36  1/60 = 6  1/10 = 3/5 = 0.6

Answer:

First, collect the like terms by one side

x/4=2+6

x/4=8

Then, criss-cross it, which means multiply 4 with 8

x=4×8

x=32

Step-by-step explanation:

I hope this is the answer to your question, if it helped you, please give me brainliest

Answer:

A.

Step-by-step explanation:

Sorry, just unexplainable thinking.

It's 65. Because you add the other angles and get 90+25 and get 115. 180 -115 = 65.

Answer:

c=65°

Step-by-step explanation:

180-90=90

90-25=65

hopefully this helps :)

Answer:

(a) An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Step-by-step explanation:

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)=aˣ

being a real positive.

When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.

An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.

In that case, the formula used to model the growth of a population is given by:

P(t)=P0*[tex]a^{t}[/tex]

where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.

In this case:

Replacing, you get:

P(t)=700*[tex]3^{t}[/tex]

An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

The derivative of this function P (t) is:

n'(t)=700*ln(3)*[tex]3^{t}[/tex]

and reflects the growth rate of the bacteria population.

So, the rate of growth of the bacteria population after 1.5 hours is:

n(1.5)=700*ln(3)*[tex]3^{1.5}[/tex]

Solving, you get:

n(1.5)≅ 3,996

The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Answer:

what grade are you in?

Step-by-step explanation:

Answer:

1e+35

Step-by-step explanation:

Answer:

(ab)² = 36

Step-by-step explanation:

Plug in 2 for a and 3 for b:

(2·3)²

Multiply 2 and 3:

6²

Square the number:

36

Answer:

( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]

[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]

[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]

LCD (2, 15, 21) = 210

[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]

105 - 98 = 7

110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Answer: 117 tickets left

Step-by-step explanation:

Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

Answer:

Step-by-step explanation:

99.87 for Knewton Alta

Answer:

B. Perpendicular Lines

Step-by-step explanation:

Perpendicular Lines are lines that cross over each other and make a right angle (90°).

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer:

T_T said to 个_个: Hallo, I am so happee!!!

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps!!!!!!

Answer:

The solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

Step-by-step explanation:

This second-order differential equation is homogeneous and linear of the form:

[tex]y'' + p\cdot y' +q\cdot y = 0[/tex] (1)

Where:

[tex]p[/tex] - First-order constant coefficient, dimensionless.

[tex]q[/tex] - Zero-order constant coefficient, dimensionless.

Whose characteristic polynomial is:

[tex]\lambda^{2}+p\cdot \lambda + q = 0[/tex] (2)

Where [tex]\lambda[/tex] contains the roots associated with the solution of the differential equation.

If we know that [tex]p = 6[/tex] and [tex]q = 9[/tex], the roots of the characteristic equation are, respectively:

[tex]\lambda^{2}+6\cdot \lambda + 9 = 0[/tex]

[tex](\lambda +3)\cdot (\lambda + 3) = 0[/tex]

Which means that [tex]\lambda_{1} = \lambda_{2} = 3[/tex] and the solution of the differential equation is of the form:

[tex]y(x) = e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)[/tex] (3)

Where [tex]c_{1}[/tex] and [tex]c_{2}[/tex] are integration constants.

The first derivative of the equation above is:

[tex]y'(x) = 3\cdot e^{3\cdot x}\cdot (c_{1}+c_{2}\cdot x)+c_{2}\cdot e^{3\cdot x}[/tex] (4)

Now, if we get that [tex]y(0) = 0[/tex] and [tex]y'(0) = 1[/tex], then the system of equations to the solved is:

[tex]c_{1} = 0[/tex] (3b)

[tex]c_{1}+c_{2} = 1[/tex] (4b)

The solution of this system is: [tex]c_{1} = 0[/tex], [tex]c_{2} = 1[/tex]. Therefore, the solution of this differential system is [tex]y(x) = x\cdot e^{3\cdot x}[/tex].

Answer:

[tex]y = 3600 * 12[/tex]

Step-by-step explanation:

Given: Breakdown of Monthly Budget

Required

Determine the equation that shows minimum earnings in a year

First, we need to get the sum of the given list of budgets:

[tex]Budget = 870 + 550 + 375 + 480 + 400+235+400 + 290[/tex]

[tex]Budget = 3600[/tex]

The are 12months in a a year; So, the yearly budget (y) is:

[tex]Yearly\ Budget = Monthly\ Budget * Duration[/tex]

[tex]Yearly\ Budget = 3600* 12[/tex]

i.e.

[tex]y = 3600 * 12[/tex]

I assume you ignore friction. The cart is held in equilibrium, so the net force on the cart is zero.

There are 3 forces acting on the cart:

• weight (magnitude w, pointing down)

• normal force (mag. n, pointing perpendicular to the ramp)

• tension in the rope (mag. t, pointing 60º from the horizontal, or equivalently 60º - 15º = 45º from the parallel direction)

Split up the forces into horizontal and vertical components. We have

• horizontal:

t cos(60º) + n cos(105º) = 0

• vertical:

n sin(105º) + (-w) = 0

(the normal force has a direction of 105º from the horizontal because it's perpendicular to the ramp, so it forms an angle of 90º with the ramp, plus the 15º inclination of the ramp itself)

We're given that w = 60 lb, so

n sin(105º) = 60 lb

n ≈ 62.1 lb

Solve for t :

t cos(60º) = -n cos(105º)

t = -n cos(105º)/cos(60º)

t ≈ 32.2 lb

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500