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nataly862011 [7]
2 years ago
5

The scale on a model of a frog is 2 cm = 25 mm. Find the actual length

Mathematics
1 answer:
otez555 [7]2 years ago
8 0

Answer:

137.5

Step-by-step explanation:

2=25

4=50

6=75

8=100

10=125

11=125+12.5 = 137.5

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A car is traveling at a rate of 81 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil
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Only doing thos for the getting to knothinf
8 0
3 years ago
when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
Rasek [7]
To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.
f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= \frac{y-4}{-8}  \\ f^{-1}(x)=\frac{x-4}{-8}

From the work show, it can be seen that Talib's work is correct.
4 0
3 years ago
Read 2 more answers
(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0
Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

P(A)+P(B)+P(A\cap B)=P(A\cup B)

We know that

Maximum value of P(A\cup B)=1 and minimum value of P(A\cup B)=0

0\leq P(A\cup B )\leq 1

0\leq P(A)+P(B)-P(A\cap B)\leq 1

0\leq 0.4+0.7-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)

P(A\cap B)\leq 1.1

It is not possible that P(A\cap B) is equal to 1.1

1.1-P(A\cap B)\leq 1

-P(A\cap B)\leq 1-1.1=-0.1

Multiply by (-1) on both sides

P(A\cap B)\geq 0.1

Again, P(A\cup B)\geq P(B)

0.4+0.7-P(A\cap B)\geq 0.7

1.1-P(A\cap B)\geq 0.7

-P(A\cap B)\geq -1.1+0.7=-0.4

Multiply by (-1) on both sides

P(A\cap B)\leq 0.4

Hence, 0.1\leq P(A\cap B)\leq 0.4

3 0
3 years ago
HELP<br> Please<br> Please<br> im failing
Reptile [31]

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

3 0
3 years ago
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