8) An extremely handsome math teacher is on African
Safari and sees a hungry lion that just spotted a zebra
headed towards a river. He knows that the lion's top
speed is about 45 feet per second and the zebra's about
40 feet per second. It looks like the Zebra is about 200
feet from the river and the Lion is about 220 feet from the
river.
Complete the table to represent each animals distance
a) Is it good news for the zebra?
b) Write an equation to describe the lion's situation.
c) Write an equation to describe the zebra's situation.

bro i will give you 50 pts

Answer:

1: 22cm   2: 30m 3: 78.54

Step-by-step explanation:

1: (6x2)+(5x2)

     12+10

         22

2:  11+4=15

   15x2

      30

3:  25/2=12.5

      3.14x2=6.28

12.5x6.28=78.54

Answer:

D. 4

Step-by-step explanation:

x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.

Answer:

D

Step-by-step explanation:

the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of cylinder = π * radius² * height

Volume = π * 4² * 9 cm = 452.16 cm³

Volume of the cube = 3 cm * 3 cm * 3 cm = 27 cm³

Number of cubes needed = 452.16 cm³ / 27 cm³ = 16.75

17 wax cubes with volume of 27 cm³ each would be needed to make the candle with a volume of 452.16 cm³

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Answer:

77 "

Step-by-step explanation:

'mean' is the average of all of the heights

( 84 + 84  + 77 + 63 + 70 + 70  + x) / 7 = 75

  x = 77

Answer:

1st one 6x is greater than or equal to 120

Step-by-step explanation:

because it sys she needs to read 120 so it cant be 6x is less than or equal to 120

Total number of Counters = 48

Red Counters = 20

green counters = 48 - 20

⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .

Ratio of Red counters to that the number of green counters = 20 : 28

= 20/28

[tex] = \huge \frac{20}{28} [/tex]

The ratio of the number of red counters to the number of green counters will be 5/7.

The utilization of two or more additional numbers that compares is known as the ratio.

A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.

The number of green counters is calculated as,

⇒ 48 - 20

⇒ 28

The ratio of the number of red counters to the number of green counters is calculated as,

Ratio = 20 / 28

Ratio = 5/7

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Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

SOLUTION : -

Here in the triangle ,

Applying Pythagorean Theorem :

[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]

On squaring 24 and 24 we get ,

[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]

Subtracting 576 on both sides :

[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]

We get ,

[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]

Applying square root on both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

Therefore, our answer is correct .

Answer:

1. ?

2. d

3. g

4. f

5. k

6. ?

7. j

8. l

9. h

10. b

11. ?

12.?

Answer:

No.

Step-by-step explanation:

One megameter is [tex]10^6[/tex] meters. What you have shown is [tex]10^5.[/tex]

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

Answer:

round your answer to 0.6

Step-by-step explanation:

for example 0.58 rounds up to 0.6

Answer:

24

Step-by-step explanation:

3 x 1/72 = 1 mile

72/3 = 24

The car will use 1 gallon of gas per 24 miles

the volume of the prism is simply the area of any of the sides times the length, so in this case the shaded area times 4.

[tex]\stackrel{area}{\left( 2\frac{1}{8} \right)}(\stackrel{length}{4})\implies \left( \cfrac{17}{8} \right)(4)\implies \cfrac{17}{2}\implies 8.5~units^3[/tex]

Answer: 8 1/2

Step-by-step explanation: Khan

Answer:

K^1= (-8,10)

L^1 = (-4,10)

m^1 =(-5,10)

Step-by-step explanation:

all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.

Answer: A. Yes, because a difference in mean distances of 4.9 feet or more occurred only 6 out of 200 times, meaning the difference is statistically significant and there is convincing evidence the new golf ball travels farther than the original golf ball.

Step-by-step explanation: took the test (look at the graph as well)

Answer:

Step-by-step explanation:

Solving

Case 1 : x = +5

Case 2 : x = -5

Answer:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]

Step-by-step explanation:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

This means that Purple #1 is a redder shade of purple than Purple #2.

Purple #2 is a bluer shade of purple than Purple #1.

Step-by-step explanation:

The two highlighted rows show that for the same amount of blue, Purple #1 uses more red than Purple #2.

Making blue's quantity as 3 parts for purple #1 implies red part becomes 1.5 to maintain the ratio 1:2

Purple #1 has 1/3 parts red and 2/3 parts blue. Purple #2 has 1/4th part red and 3/4th part blue.

Hence, Purple #1 is a redder shade of purple than Purple #2.

From the above explanation, Purple #2 is a bluer shade of purple than Purple #1.

Sure hopes this helps you :)

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

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Answer:

hot potato

Step-by-step explanation:

Answer:

27 km²

Step-by-step explanation:

Surface Area :

Answer:

Total surface area = 27 km²

Step-by-step explanation:

The surface area of a square based pyramid comprises:

Area of a triangle = 1/2 × base × height

                             = 1/2 × 3 × 3

                             = 4.5 km²

Area of a square = (side length)²

                            = 3²

                            = 9 km²

Total surface area = 4 triangles + square base

                              = (4 × 4.5) + 9

                              = 18 + 9

                              = 27 km²

Answer:

a= +1

b= -2

c= +7

Step-by-step explanation:

a= coefficient of xX^2 = +1

b= coefficient of X = -2

c = the constant term= +7

Step-by-step explanation:

it says f(-4).

so, x = -4.

into what function segment is this "falling" ?

well, into the x < 3 segment, right ? because -4 < 3.

so, we need to use

f(x) = x² - 5

f(-4) = (-4)² - 5 = 16 - 5 = 11

Answer:

4th option

Step-by-step explanation:

using the addition formula for cosine

cos(a - b) = cosacosb + sinasinb

note that 15° = (45 - 30)° , then

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Answer:

[tex]\cos 15^{\circ}= \dfrac{\sqrt{2}+\sqrt{6}}{4}[/tex]

Step-by-step explanation:

Trig Identity:

[tex]\cos (A-B)=\cos A \cos B + \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos 15^{\circ}=\cos (45^{\circ}-30^{\circ}) & =\cos 45^{\circ} \cos 30^{\circ} + \sin 45^{\circ} \sin 30^{\circ}\\\\& = \dfrac{\sqrt{2}}{2} \cdot \dfrac{\sqrt{3}}{2} + \dfrac{\sqrt{2}}{2} \cdot \dfrac{1}{2}\\\\& = \dfrac{\sqrt{2}\sqrt{3}}{2 \cdot 2}+\dfrac{\sqrt{2} \cdot 1}{2 \cdot 2}\\\\& = \dfrac{\sqrt{2\cdot 3}}{4}+\dfrac{\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{6}+\sqrt{2}}{4}\\\\& = \dfrac{\sqrt{2}+\sqrt{6}}{4}\end{aligned}[/tex]

Answer:

the probability that the light is​ red would be 5 or 5%

Step-by-step explanation:

if we add all of the possible outcomes together like so :

50+6+14 we will get 70

now we know we want to find out the probabilty  of it being red we need to divide 70 by 14 and we get 5 or 5% your welcome and me as a freind if you need more help or add me on messenger the 1 carlos is my name

Answer:

38.9°

Step-by-step explanation:

The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.

90° + 51.1° + x = 180°

141.1 + x = 180°

subtract 141.1°

x = 38.9°

Answer:

The correct answer is x=5

Answer:

D- 99 1/4 ; $992.50

Step-by-step explanation:

you use the list of bonds to eventually get D- 99 1/4

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!