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3 years ago

15

Sixty miles per hour is the same rate as which of the following?

1 answer:

Genrish500 [490]3 years ago

8 0

Answer:

C. 1 mile per minute.

Step-by-step explanation:

By proportion, 60 miles per hour = 1 mile per 1/60 of an hour.

1/60 hour = 1 minute.

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Identify if the proportion is true or false. 4 to 11 = 12 to 33.

yuradex [85]

Answer:

True

Step-by-step explanation:

Take 4/11 and you get 0.363636363636, which is the same if you take 12/33. So the proportion of the two is the same.

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3 years ago

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Please help! i promise ill give brainliest, tysm

Mars2501 [29]

Answer:

f(x) = x(x-1)

Step-by-step explanation:

The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.

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3 years ago

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12. If you flip a dime 50 times:

nata0808 [166]

Answer: 25 heads 25 tails

Step-by-step explanation: you would have a 50/50 chance to get heads or tails so sence there are 2 sides you would get 25 heads and 25 tails

4 0

3 years ago

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

The endpoints of CD are C(−2, 0) and D(4, 9).<br> The coordinates of the midpoint M of CD are?

jenyasd209 [6]

Answer:

<em>1, 4.5</em>

Step-by-step explanation:

for midpoint

x₁ = -2, y₁ = 0

x₂ = 4, y₂ = 9

for midpoint

(x₁+x₂)/2 , (y₁+y₂)/2

(-2+4)/2 , (0+9)/2

2/2 , 9/2

1, 4.5

4 0

3 years ago

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