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3 years ago

Helpp plz very stuck

Mathematics

2 answers:

Anastasy [175]3 years ago

6 0

78.07 your very welcome sir

fenix001 [56]3 years ago

3 0

He would have 78.09. Welcome

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What are the roots of the polynomial equation x^2-x72=0

Tom [10]

I hope this helps you

x^2-x-72=0

x -9

x +8

(x-9)(x+8)=0

x=9

x= -8

8 0

3 years ago

73.50 divided by 21. Ishsdbdh

valina [46]

3.5 is the answer!!!

5 0

3 years ago

Read 2 more answers

The formula is m=4a+2c where c is the number of children, m=the number of meatballs, a=number of adults.

Trava [24]

Answer:

110

Step-by-step explanation:

m = 4a + 2c

a = 25, c = 5

m = 4(25) + 2(5)

m = 100 + 10

m = 110 meatballs

6 0

3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

When n=1 there is 1 dot. when n=2 there are 3 dots, when n=3 there are 6 dots. notice that the total number of dots increases by

gayaneshka [121]

Answer:

d(n) = n(n + 1)/2
n = 1 ⇒ d(1) = 1(1 + 1)/2 = 2/2 = 1, proved

d(k) + (k + 1) =
k(k + 1)/2 + (k + 1) =
[k(k + 1) + 2(k + 1)]/2 =
[(k + 1)(k + 1 + 1)]/2 =
d(k + 1)

Proved

6 0

2 years ago