Find all real solutions to w^2-10w+1
In simplest form

Answer:

x=15 y=3

Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly  beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.

Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.

We have

• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)

• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)

(a) By definition of conditional probability,

P(A | C) = P(A and C) / P(C)

A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately

P(A and C) = P(A)

so that

P(A | C) = (1/18) / (1/3) = 3/18 = 1/6

(b) From the definition,

P(B | C) = P(B and C) / P(C)

By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so

P(B and C) = (2/36) / (1/3) = 6/36 = 1/6

(c) In order for two events X and Y to be independent, we need to have

P(X and Y) = P(X) P(Y)

or in terms of conditional probability,

P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)

Then it follows that A and C are not independent, while B and C are independent.

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

hi <3

i'm not sure how many options you are allowed to select but the answers would be option C and D, as both of these structures are found in plant cells and not animal cells

hope this helps :)

Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

Answer:

B/16

Step-by-step explanation:

if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds

12 divided by 60 = 0.2

0.2 times 80 = 16.

hope this helped

Answer:

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Step-by-step explanation:

Answer:

the ratio is

14:26

but you can leave the answer like this the two numbers can be divided by 2 so

14/2=7 and 26/2=13

then the answer is 7:13.

Answer:

c.15+2z/6x-12y

f.7a+b/4a-6b

Step-by-step explanation:

z+1/x-2y - 2x-3/2x-4y + z/3x-6y

z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)

6(z+1)-3(2z-3)+2z

15+2z/6x-12y

3a/2a-3b - a+b/2(-3b+2a)

6a+a+b/2(2a-3b)

7a+b/4a-6b

Answer:

A: 113.04in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

We know the diameter is 12 inches so the radius is 1/2 the diameter

r = 1/2 d =1/2(12) = 6inches

A = (3.14) (6)^2

A = 113.04 in ^2

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

Answer:

33 miles did the car travel on each gallon of gas

Answer:

1/32 people responded for Tampa.

Step-by-step explanation:

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

Answer:

-4,0

Step-by-step explanation:

Moving up 5 units means moving 5 positive units in the y axis.

-5 + 5 = 0.

Therefore, you end up in (-4,0)

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

Answer:

13:9 with 9 being unshaded

Step-by-step explanation:

i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified

Answer:

-8/3x

Step-by-step explanation:

-8 / 3x / 1

-8 / 3x

.....

..

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

Answer: f(10) = 290

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(x) = 3x² - x

Substitute values into the expression

f(10) = 3(10)² - (10)

Simplify exponents

f(10) = 3(100) - (10)

Simplify by multiplication

f(10) = 300 - 10

Simplify by subtraction

f(10) = [tex]\boxed{290}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The one on the middle left.

Explanation:

x goes infinitely in the positive direction.

y does not show any sign of not going infinitely positively or negatively.

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket