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Diano4ka-milaya [45]
3 years ago
5

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are

on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Mathematics
2 answers:
Snezhnost [94]3 years ago
6 0

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Step-by-step explanation:

ruslelena [56]3 years ago
3 0

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

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Chaz is a 79.2 pound dog that was just adopted. Based on his foster home his daily energy intake is 1,840 kcal. Chaz’s new owner
zimovet [89]

Answer:

option (c)5 and  \frac{\textup{1}}{\textup{4}}  cups

Step-by-step explanation:

Given:

Weight of Chaz = 79.2 pounds

Daily energy intake requirement = 1,840 kcal

Energy present in different brand food = 3,523 kcal/kg

Therefore,

the amount of food required = \frac{\textup{Daily energy intake requirement}}{\textup{Energy present in different brand food}}

or

the amount of food required = \frac{\textup{1,840}}{\textup{3,523}}

or

the amount of food required = 0.52228 kg

also,

1 kg = 1000 grams

therefore,

the amount of food required = 0.52228 × 1000 = 522.28 grams

now,

A cup of food weighs 100 grams

hence,

the number of cups required = \frac{\textup{the amount of food required }}{\textup{Amount of food per cup}}

or

the number of cups required = \frac{\textup{522.28}}{\textup{100}}

or

the number of cups required = 5.2228 ≈ 5 and \frac{\textup{1}}{\textup{4}}  cups

Hence, the correct answer is option (c)

4 0
3 years ago
In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.
Nikolay [14]

Answer: 32

Step-by-step explanation:

4 0
3 years ago
A book claims that more hockey players are born in January through March than in October through December. The following data sh
astra-53 [7]

Answer:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the​ year

H1: There is a difference between birthdates distributed throughout the​ year

The level of significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total}{4}

And replacing we got:

E_{1} =\frac{67+56+30+37}{4}=47.5

And now we can calculate the statistic:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

3 0
4 years ago
Please!!! Mathematics 7th Grade. Watch screenshot.
Sedbober [7]

Answer: - 4/3

Step-by-step explanation:

0 cannot be a negative, so if it 0,0 between -4,3 it obviously -4/3

5 0
3 years ago
You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $
Minchanka [31]
There are 2 parts to this question.  1. One would be to calculate the interest based on your balance and 2. then to add the late fee.  Use the formula i = prt to calculate your simple interest. <em>i</em> represents the interest you will pay, <em>p</em> stands for the principal (balance on your credit card), and <em>t</em> stands for the period of time (related to a period of a year/annual percentage rate).  The $1998 balance times 0.145 times 1/12 gives the interest amount of $24.14.  So, $1998 + $24.14 + $37 = $2059.14 balance.  

7 0
4 years ago
Read 2 more answers
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