URGENT!! A train travels at the rate of 120 km per hour

11. What is its speed in meters per second?

Answer:

y = -3/4x + 2

Step-by-step explanation:

y = -3/4x + b

5 = -3/4(-4) + b

5 = 3 + b

2 = b

The probability of a student taking AMDM given they are taking Physics is 39.51%.

Since a school counts the number of students taking AMDM and find 225 students taking AMDM, and they also count the number of students taking Physics and find 248 students taking the Physics, and when they compare the two lists they find 98 student taking AMDM and Physics, to determine what is the probability of a student taking AMDM given they are taking Physics, the following cross multiplication calculation must be performed:

Therefore, the probability of a student taking AMDM given they are taking Physics is 39.51%.

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Answer:

6 ang

Step-by-step explanation:

mark me as brainliest

Answer:

4x+2x+9x

9x+7x-x

15x

x.15

Answer:

Quadratic equation in vertex form: y = 2(x + 3)²+ 0

Step-by-step explanation:

The vertex form of a quadratic equation is:

y = a (x - h)² + k  where:

The value of a determines that the graph opens up or down.  If a is positive, the graph opens up. The value of a also makes the parent function wider or narrower.  

The vertex of the given parabola occurs at point (h, k) where the parabola intersects the axis of symmetry, x = h. It is also determines whether it is either the maximum or minimum point on the graph.

The quadratic equation of the graph in vertex form is: y = 2(x + 3)²+ 0

where:

a = 2

vertex (minimum point) = (-3, 0)

axis of symmetry: x = -3

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Answer:

5 inch - first board

10 inch - second board

20 inch - third board

Step-by-step explanation:

x = first board

board two = 2x

board three =4x

x+2x+4X=35

7x=35

x=5 inch - first board

10 inch - second board

20 inch - third board

Answer:

ygghjhghccghhfghjkvgnkvvnvcvbvf

Answer:

2/3 of an hour is 40 minutes so

40 x 7 = 280

You would practice that musical instrument 280 hours after a week

***hope this helps

Step-by-step explanation:

Answer:

14/3

Step-by-step explanation:

Answer:

0.00085

Hope this helps

Answer:

0.00085

Step-by-step explanation:

2/2348= 0.00085

Answer:

A= 5.6 x 5.6 = 31.36

P= 5.6 × 4 = 22.4

Step-by-step explanation:

to find the area of a square, just take the length of 1 side and square it (A= length^ 2)

to find the perimeter of a square multiply length by 4 sides.

*these formulas only hold true for squares bc the length of each side is the same.

Answer:

A. 17 feet

Step-by-step explanation:

Answer:

180 kids chose French

Step-by-step explanation:

40/100 = x/450

4/10 = x/450

10•45= 450

4•45= 180

Answer:

correct

Step-by-step explanation:

Answer:

38 meters below sea level.

Step-by-step explanation:

if the sub dives 155 BELOW sea level, this equals -155.

then it RISES 117 meters, which equals +117.

we can make this into an  equation

-155+117=-38!

the location of the sub is 38 meters below sea level.

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

Step 2: Multiply both sides by 2/3.

We can't find volume through given information.

Lets find the area

[tex]\\ \sf\longmapsto Area=LB[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{7}{2}\times \dfrac{9}{4}[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{63}{6}[/tex]

Answer:

64.2857

Step-by-step explanation:

take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes

Answer:

i believe it's about 18.75% he only gained $600

Answer:

no

Step-by-step explanation:

Answer:

.7314

Step-by-step explanation:

I plugged this number into the calculator and got .7313537016, and then rounded it to the fourth decimal place, which gave me my answer

The only set of side lengths that can form a triangle is 9, 4, 8.

Option A is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if each of the given sets of side lengths satisfies this condition:

A.

9, 4, 8

9 + 4 > 8 ✓

9 + 8 > 4 ✓

4 + 8 > 9 ✓

All three inequalities are true, so these side lengths can form a triangle.

B.

14, 7, 6

14 + 7 > 6 ✓

14 + 6 > 7 ✓

7 + 6 > 14 ✗

The last inequality is false, so these side lengths cannot form a triangle.

C.

3, 8, 1

3 + 8 > 1 ✓

3 + 1 > 8 ✗

8 + 1 > 3 ✓

The second inequality is false, so these side lengths cannot form a triangle.

Therefore,

The only set of side lengths that can form a triangle is A. 9, 4, 8.

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Answer:

5+5+9+9 = 28 cm

Step-by-step explanation:

to determine perimeter add the length of each side (2 sides = 5cm and two sides = 9cm.)

Functions can be used to model real life scenarios

The function is given as:

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(a) Sketch V(t)

See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

(b) The reasonable domain

t represents the number of weeks.

This means that: t cannot be negative.

So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]

(c) Average rate of change from t = 0 to 2

This is calculated as:

[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]

Calculate V(2) and V(0)

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]

So, we have:

[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

Hence, the average rate of change from t = 0 to 2 is 20

(d) The instantaneous rate of change using limits

[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

The instantaneous rate of change is calculated as:

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]

So, we have:

[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]

[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]

Expand

[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]

Subtract V(t) from both sides

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]

Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]

[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]

Cancel out common terms

[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes

[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]

[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]

Limit h to 0

[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]

[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]

(e) V(2) and V'(2)

Substitute 2 for t in V(t) and V'(t)

So, we have:

[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]

[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]

Interpretation

V(2) means that, 20 people were infected after 2 weeks of the virus spread

V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week

(f) Sketch the tangent line at (2,V(2))

See attachment for the tangent line

The slope of this line is:

[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]

[tex]\mathbf{m = \frac{20}{2}}[/tex]

[tex]\mathbf{m = 10}[/tex]

The slope of the tangent line is 10

(g) Estimate V(2.1)

The value of 2.1 is

[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]

[tex]\mathbf{V(2.1) = 20.35}[/tex]

(h) The maximum number of people infected at the same time

Using the graph, the maximum point on the graph is:

[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]

This means that:

The maximum number of people infected at the same time is approximately 21.

The rate of infection at this point is:

[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]

[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]

[tex]\mathbf{m = 8.79}[/tex]

The rate of infection is 8.79 people per week

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Answer:

221

Step-by-step explanation:

109×2+3=221, pattern is x2+3

--

4×2+3=11

11×2+3=25

25×2+3=53

53×2+3=109

Justin rode his bicycle in a day = 2.4 miles

Justin ride altogether during the 20-days = ?

? = 2.4 × 20

? = 48

Therefore, Justin ride altogether during the 20-days stretch is 48 miles.

Answer:

$600

Equation:

(Base) x (percent as a decimal) x (years) = interest

(B x .16 x 7.5 = 720)

Steps:

(Base) x (percent as a decimal) = (interest) / (years)

(B x .16 = 96)

Base = (interest / years) / (percent as a decimal)

(B = 600)