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Oduvanchick [21]
3 years ago
8

If a elk can run 2,970 feet in 45 seconds. what is its top speed?

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0
To describe its speed, divide 2970 by 45 to get 66 feet per second
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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Elina [12.6K]

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

4 0
2 years ago
A college financial adviser is interested in studying the number of students at his college who apply for loans when entering gr
Shalnov [3]

Answer:

0.7429

Step-by-step explanation:

Given that  Of the 721 students at the college, 299 of them apply for loans when entering graduate school.

So p = proportion of students applying for loans = \frac{299}{721} =0.415

Each student is independent of the other and there are two outcomes

Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415

the probability that more than 16 of them apply for loans

=P(X>16)\\= \Sigma_{x=17} ^{45}  P(x)\\=\Sigma_{x=17} ^{45}(45Cx (0.415)^x (0.585)^{25-x} )

=0.7429

4 0
3 years ago
Evaluate for x and y<br> 4x-6y=-26<br> -2x+3y-13
kap26 [50]

Answer:

(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R

Step-by-step explanation:

4x-6y=-26

-2x+3y-13

4x-6y=-26

x=-13/2+3/2y

4(-13/2+3/2y) - 6y=-26

y in mathbb R

x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb

5 0
1 year ago
If I varies inversely with R and I = 0.25 when R = 18, which equation should be used to show this relationship?
pashok25 [27]
Inverse relationships are of the form xy=k or if you prefer  y=k/x so to find the constant we can say:

18(0.25)=k=4.5

So you could say: IR=4.5 or I=4.5/R
7 0
3 years ago
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