Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.
y = 5x
20x - 4y = 0

Answer:

x = 22 degree

Step-by-step explanation:

40 + 5x + 30 = 180 degree (being linear pair)

5x + 70 = 180

5x = 180 - 70

x = 110/5

x = 22 degree

Answer:

The series converges to [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

It seems to be this series:

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]

We have

[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]

Using the Root test we can see that this series converges once

[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]

Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]

The series is convergent.

Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.

The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]

[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]

Answer: 1360 cubic meter

Step-by-step explanation:

Volume of solid= Length*width*height

                          =8*17*10

                          =1360  cubic meter

Answer:b

Step-by-step explanation:

Answer:

no se guey..... pero gudluc

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

Answer:

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Step-by-step explanation:

Let the cost of paint set is s.

cost of sketch book = s/2

cost of brush = s/3

Money spent = $ 28 - $ 3 = $ 25

So,

s +  s/2 + s/3 = 25

6 s + 3 s + 2 s = 150

11 s = 150

s = $ 13.64

cost of paint set = $ 13.64

cost of sketch book = $ 6.82

cost of brush = $ 4.55

Answer:

3/1

Step-by-step explanation:

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3

Hope this helps

Answer:

-12 can be written as the ratio of -24 and 2, for example.

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by the division of a by b, that is:

[tex]r = \frac{a}{b}[/tex]

−12 as a ratio of two integers.

Here, we want any division in which the result is -12. One example is:

[tex]-12 = \frac{-24}{2}[/tex]

-12 can be written as the ratio of -24 and 2, for example.

Answer:

Letter B

Step-by-step explanation:

I used a graphing calculator,

Hope this helps

this is an example of linear equations is one variable

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]

Answer:

y = 4x^2

Hope that this helps!

Answer:

I believe that It would be b

Step-by-step explanation:

I hope this explains everything.

you can ask for further explanation

Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

Also i need help with

https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1

Answer:

[tex]336m^2[/tex]

Step-by-step explanation:

[tex]6*8=48[/tex]

[tex]10*12=120[/tex]

[tex]8*12=96[/tex]

[tex]6*12=72[/tex]

Add all these up

[tex]48+120+96+72=336[/tex]

Hope this helps

Answer:

Answer a h bro ok bye bro good luck

Step-by-step explanation:

{x:x is an integer where x>-3 and x<3}

Answer:

[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}

[/tex]

Answer:

Only A and B.

Step-by-step explanation:

Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same

9514 1404 393

Answer:

  (a) f(c) = 12c -155

  (b) f⁻¹(145) = 25

Step-by-step explanation:

(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...

  f(c) = 12c -155

__

(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...

  145 = 12c -155

  300 = 12c . . . . . . add 155

  25 = c . . . . . . . . . divide by 12

  f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145

Answer: 22

Step-by-step explanation: 2x2 + x -41= -15

* 4 + x -41= -15

* x -37= -15

* x= 22

Answer:

9/10

Step-by-step explanation:

y2-y1÷x2-x1

-18-0/-12-8

-18/-20

9/10

Answer:10/9

Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9

Answer:

5

Step-by-step explanation:

21-16=5

hope it helps!!

is this an Olympiad qn?

Answer:

-

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

- Chi Square = 51.2

- p-value = 0.1104

- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Step-by-step explanation:

Given the data in the question;

filling variance for boxes of cereal is designed to be .02 or less

sample size n = 41 boxes

standard deviation S = 0.16 ounces

level of significance = 0.05

Hypothesis;

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

{ Upper tail test }

Test statistics;

Chi Square = [ ( n-1 ) × S² ] / σ²

Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02

Chi Square = [ 40 × 0.0256 ] / 0.02

Chi Square = 1.024/ 0.02

Chi Square = 51.2

Degree of freedom df = n - 1 = 41 - 1 = 40

Chi square value at 0.05  and df of 40 = 55.7585

p-value = 0.1104

since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.