find the hcf and the lcm of these for 10 points plz
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Answer:

Step-by-step explanation:

You'd have to be really familiar with conic sections to know what to do with this. Good thing I am! ; )

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

[tex]25x^2+200x-9y^2+18y=-166[/tex]

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

[tex]25(x^2+8x)-9(y^2+2y)=-166[/tex]

Now take half the linear term in each set of parenthesis, square it, and add it in to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

[tex]25(x^2+8x+16)-9(y^2+2y+1)=-166+400-9[/tex]

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we REALLY added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

[tex]25(x+4)^2-9(y+1)^2=225[/tex]

Now, finally we will divide both sides by 225 to get this conic into standard form:

[tex]\frac{(x+4)^2}{9} -\frac{(y+1)^2}{25} =1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Answer:

here you are

i hope it helps! :)

Step-by-step explanation:

Answer:

0.04997916927

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

arcsin(0.5) deg

= 30

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Answer:

D the horizontal cross-section of the pyramid and cone at the same height must have the same area

Answer:

b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day.

Step-by-step explanation:

The confidence interval calculated from the sample at a particular confidence level, gives a certain percentage of confidence based on the confidence level that the true mean of the population exists within the confidence interval Calculated.

For the scenario above, we can say that there is a 90% chance that the population mean number of annual pass holders in the park on a given day is within the interval (35, 51)

Answer:

1) claire's stone at 1.25 seconds

2) 0.5 seconds and its max height was 9

3) lin at 8ft

Step-by-step explanation:

the intercepts tell you the first and third question and then the max height is the highest point on the graph

not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words

Answer:

See the image below for the answer:)

Step-by-step explanation:

Answer:

24.65

Step-by-step explanation:

Answer:

valid

Step-by-step explanation:

it's valid because for example here are some even numbers, 0, 2, 4, 6, 8, they're are all multiples of four.

hope that helped :)

mark me brainliest pls

Answer:

Step-by-step explanation:

From the given information:

Null and alternative hypothesis is:

[tex]\mathbf{H_o: \text{The die is not loaded i.e. six numbbers are equally alike}}[/tex]

[tex]\mathbf{H_a: \text{The die is loaded i.e. six numbbers are not equally alike}}[/tex]

Numbers   Observed         Expected            (O - E)    (O-E)^2     (O-E)^2/E

                 Frequency (O)   Frequency (E)  

1                  31                             30                   1             1               0.03

2                 34                            30                   4             16            0.53

3                 26                            30                  -4            16             0.53

4                 16                             30                  -14           196           6.53

5                 32                            30                    2            4               0.13

6                 41                             30                    11            121            4.03

Total          180                                                 [tex]X^2= \sum (\dfrac{O-E}{E})^2=11.78[/tex]

degree of freedom = n - 1

= 6 - 1

= 5

Critical value at [tex]X^2_{0.05/2,5} =11.07[/tex]

Since the calculated [tex]X^2 \ is \ > X^2_{0.025/5}[/tex] , then we reject [tex]H_o[/tex]

Conclusion: Accept the alternative hypothesis.

The information provided gives sufficient evidence for us to conclude that the given die is loaded.

Answer:

12 cm³

Step-by-step explanation:

the volume of the sphere = 4/3 πr³

the volume of the cylinder (h=2r)= πr².2r

= 2πr³

the volume ratio of S : C =

4/3 πr³ : 2 πr³

= 4/3 : 2

= 4 : 6

= 2 : 3

so, the volume of the Sphere =

2/3 × 18 = 12 cm³

Answer:

Solution given:

radius [r]=height[h]

volume of cylinder=πr²h

18cm³=πr³

again

volume of sphere

=4/3 πr³

=4/3*18=24cm³

the volume of the sphere:24cm³

Answer:

A. 9/2 × 3/8

Step-by-step explanation:

______________

is (0,0) a solution to what system?

Answer:

the group bought 18 comic books.

Step-by-step explanation:

It says that Anna went home with 6 comic books and there are 3 people (Joey, Mikey, and Anna). So if Anna bought 6 comic books, Joey also bought 6 books and Mikey also bought 6 books. 6 + 6 + 6 = 18

Hope this is helpful

Answer:

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Step-by-step explanation:

Given

See attachment for graph

Required

Compare the distance and time travel

From the attached graph, we have the origin to be (0,0).

This represents the mile marker 225

Mile marker 230 is represented by point 5 on the y-axis.

Kevin's line at point 5 is represented as: (16,5)

Carrie's curve at point 5 is represented as: (16,5)

Both points are equal; i.e.

[tex](16,5) =(16,5)[/tex]

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

Answer:

Step-by-step explanation:xyyxxyduxuxifg icicuddididif uicidididciifificvidid idodididix ididididix ifidididix

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

      [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]

[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]

That is,

           [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]

84% confidence level

So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

the answer is 8 because it was in the middle

it's 8

Answer:

t= 2p+5/p-1

Step-by-step explanation:

The question is not well writen

Assume p = t+5/t-2

We are to make t the subject of the formula

Cross multiply

p(t-2) = t+5

pt - 2p = t+5

pt - t = 2p+5

t(p-1) = 2p+5

t= 2p+5/p-1

Hence the value of t is 2p+5/p-1

Answer:

16,800 people

Step-by-step explanation:

105 * 250 = 26,250

p = 26250ft² * (16 people / 25ft²)

p = 16,800 people

Answer:

16800

Step-by-step explanation:

105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800

Hope this helps!

Answer:

slope=0

Step-by-step explanation:

Hi there!

We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)

the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points

we have our two points: (-1,3) and (3,3) and we can label them:

x1=-1

y1=3

x2=3

y2=3

now substitute into the formula

note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.

slope=(3-3)/(3--1)

simplify

slope=0/4

divide

slope=0

Hope this helps!

Answer:

-3 1/4 is the answer for this question

Answer:

(-1,-4)

Step-by-step explanation:

(2, -1)

Moving down 3 means subtract 3 from the y value

Left 3 means subtract 3 from the x value

(2-3, -1-3)

(-1,-4)

Answer:

0.0001292

Step-by-step explanation:

a raised to the power -m is 1/a raised to power m