A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.

Answer:

the distance between-5 to 120 on a number line is 124

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(4-3)

m=2/1

m=2

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]

Answer:

none of the above is a pythagorean triple

Answer:

63

Step-by-step explanation:

angle abc =half of arc DE + half of arc AC

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

Answer:

The equations are not equivalent

Step-by-step explanation:

2(3c +2) -2c

6c + 4 - 2c

combine like terms

4c +4 does not equal 4c +2

Answer:

they are NOT equivelent

Step-by-step explanation:

2(3c+2)-2c and 4c + 2

(6c+4)-2c

4c+4>4c+2

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

          Statements                          Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4                  1). Given

2). ∠1 ≅ ∠2                                   2). Vertical angle theorem

3). ∠1 ≅ ∠4                                   3). Given

4). ∠1 ≅ ∠3                                   4). Corresponding angle theorem

5). ∠4 ≅ ∠3                                  5). Transitive property of congruence  

Answer:

D)  15.5

Step-by-step explanation:

median is the middle line inside the 'box'

Answer:

27

Step-by-step explanation:

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

We can use the formula: is/of = %/100.

% = 60

of = 160

[tex]\frac{x}{160}=\frac{60}{100}[/tex]

100x = 9600

x = 96

96 students participated in the fundraiser.

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12

Answer:

b = 9m is the answer.

Step-by-step explanation:

a = 12m

b = ?

c = 15m

According to the Pytagorean theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9

∴ The slide is 9m away from the monkey bars.

Answer:

One third or 1/3

Step-by-step explanation:

Answer:

https://youtu.be/TZbTr1oBwKU

Answer:

c i think ???

Step-by-step explanation:

Answer:

3 2/3 miles

Step-by-step explanation:

1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3

Answer: 3 2/3 miles

Answer:

supplementary angle = angle 2 and angle 3

vertical angle = angle 2 and angle 4

hope it helps

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

Answer:

i think the answer is 5x+1 that how i was taught srry if its wrong

Answer:

B. 37 + 7 = 44

Step-by-step explanation:

If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.

Answer:

308915776 six-letter passwords are possible with repetitions

Step-by-step explanation:

Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.

This can be represented as 26^6=308915776

With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, The six letter passwords are formed using the letters A through Z

with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.

Therefore it would be,

= 26⁶ passwords.

learn more about permutation and combination here :

https://brainly.com/question/28720645

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