make y the subject...​

Step-by-step explanation:

5a.

10 white squares

15 shaded squares

5b.

a1 = 1 = 2×1 - 1

a2 = a1 + 2×2 - 1 = 2×1 - 1 + 2×2 - 1 = 2×(1+2) - 2

a3 = a2 + 2×3 - 1 = 2×(1+2+3) - 3

...

an = 2×(1+2+...+n) - n = 2×n×(n+1)/2 - n = n²

so,

a350 = 350² = 122,500

figure350 has 122,500 squares.

5c.

a1 = 1

a2 = a1 = 1

a3 = a2 + 5

a4 = a3 = 6

a5 = a4 + 9

a6 = a5 = 15

a7 = a6 + 13

a8 = a7 = 28

...

a(2n) = a(2n - 1)

a(2n - 1) = a(2(n-1) - 1) + 1 + 4(n - 1) = n×1 + 4(0+1+2+...+n-1) =

= n + 4×(n-1)×n/2 = n + 2×(n² - n) = 2n² - n

therefore,

a350 = a349

a349 = a(2×175 - 1) = 2×175² - 175 = 61,075

figure350 has 61,075 shaded squares.

Answer:

x = 10

y = 15

Step-by-step explanation:

5x − 4y = −10  ⇒  ( 1 )

y = 2x − 5     ⇒ ( 2 )

Let us find the value of x.

For that, we can replace y with ( 2x - 5 ).

Let us take equation 1.

5x − 4y = −10

5x - 4 (  2x − 5 ) = -10

5x - 8x + 20 = -10

-3x = -20 - 10

-3x = - 30

Divide both sides by ( -3 ).

x = 10

And now let us find the value of y.

Let us take equation 2.

y = 2x − 5

y = 2 × 10 - 5

y = 20 - 5

y = 15

Answer:

X=10

Step-by-step explanation:

5x-4y=-10.....1

y=2x-5......2

sub 2 into 1

5x-4(2x-5)=-10

5x-8x+20=-10

5x-8x=-10-20

-3x=-30

x=10

sub x=10 into 2

y=2(10)-5

y=20-5

y=15

Answer:

49.67ft

Step-by-step explanation:

i used the internet, use it too

Answer:

53

Step-by-step explanation:

[tex]sum \: of \: angles = 180 \\ 180 = 74 + 2x \: where \: x \: is \: the \: measure \: of \: the \: other \: angles \\ 180 - 74 = 2x \\ 106 = 2x \\ x = \frac{106}{2} \\ x = 53[/tex]

Always welcome

Answer:

0

Step-by-step explanation:

7-11=-4

-4+4=0

Answer:

591

Step-by-step explanation:

Let's use algebra to solve this question:

Units digit = x

Hundreds digit = x+4

Tens digit = 3 + (x+4) + x = 2x +7

All 3 digits = 15

so x + (x+4) + 2x + 7 = 15

4x +11 =15

4x = 4

x = 1

Then you substitute:

Units = 1

Hundreds = 1+4 = 5

Tens = 2(1) + 7 = 2 + 7 = 9

The number is therefore 591.

Answer:

y = -3/2x + 3

Step-by-step explanation:

slope-intercept form: y - y₁ = m (x - x₁)

y - 9 = -3/2 ( x + 4)

y = -3/2 x - 6 + 9

y = -3/2x + 3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

About 1885 sq. ft

Step-by-step explanation:

[tex]v = \pi \: (10)^{2} (6) [/tex]

Since the radius is 10ft and the height of the cylinder is 6 ft you substitute that into the formula and you receive 1884.96.

Answer:

The solution to the question is in the attached image

Answer: I took the test and this is the answer.

Answer:

Attachment 1:  graph of [tex]y=\sin(\theta)[/tex]

(using given scale)

Question (a) (Attachment 2)

[tex]\sin(\theta)=0.6[/tex]

Draw the line [tex]y=0.6[/tex] (shown in blue).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=37^{\circ},143^{\circ}\:\textsf{(nearest degree)}[/tex]

Question (b) (Attachment 3)

[tex]4\sin(\theta)=-3[/tex]

[tex]\implies \sin(\theta)=-\dfrac34[/tex]

Draw the line [tex]y=-\dfrac34[/tex] (shown in red).

Find the points of intersection of the sine curve and the line.

Measure to find the values of [tex]\theta[/tex]

[tex]\theta=229^{\circ},311^{\circ}\:\textsf{(nearest degree)}[/tex]

Answer:

40

Step-by-step explanation:

50 / 10 = 5

8 * 5 = 40

Both should be divisible by same amount and that is 5.

Answer:

40

Step-by-step explanation:

Answer:

We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.

Out of those 6 sides, they want to find out if we can roll a number less than 3.

First, let's find how many numbers there are on this die that are less than 3.

1 and 2, so there are 2 sides that contain numbers less than 3 on this die.

So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.

1/3 probability.

Convert this into a percent if you'd want:-

1/3 · 100

= 33.333... which can be rounded to a 33% probability.

Answer:

64/7

Step-by-step explanation:

Pattern = Multiplying by -4

-16/7 x -4/1

64/7

Answer:

[tex] -\frac{1}{2}x^2-2x-5 [\tex]

Step-by-step explanation:

To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3[/tex] which simplifies further to [tex]-\frac{1}{2}x^2-2x-2-3[/tex] and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]

Hope this helps :)

Answer:

Step-by-step explanation:

This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.

36 liters.

36 km/3 Liters = x / 36             multiply both sides by 36

36*36 / 3 =  x

1296/3 = x

x = 432 km

So on 36 L he can go 432 km

3 liters

Given as 36 km

48 liters

36km/3 liters = x / 48 liters         Multiply both sides by 48

48*36/3 = x

576 km = x

So on 48 liters, he can go 576 km

132 liters

36 km/ 3 liters = x/132

x = 1564 km

On 132 liters Pat can go 1564 km

Answer: 5

Step-by-step explanation:

Answer:

2,6 / Number 3

Step-by-step explanation:

Thats the right answer

Answer:

(2,6)

Step-by-step explanation:

moving 3units to the left gives (2,4) and 2units above gives (2,6) finally

Answer:

50/50 chance a black ball will be picked

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Learn more about GDP here:https://brainly.com/question/1383956

Answer:

sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]

Step-by-step explanation:

cos(theta) = [tex]\frac{x}{r}[/tex]

cos(theta) = [tex]\frac{3}{4}[/tex]

so x = 3 , r = 4 , and y =?

Pythagorean Theorem: x^2 +y^2 = r^2 or a^2 +b^2 = c^2

x^2 +y^2 = r^2

(3)^2 +y^2 = (4)^2

9 + y^2 = 16

y^2 = 7

[tex]y=\sqrt{7},-\sqrt{7}[/tex]

In Quadrant 1, so its only [tex]y=\sqrt{7}[/tex].

sin(theta) = [tex]\frac{y}{r}[/tex]

sin(theta) = [tex]\frac{\sqrt{7}}{4}[/tex]

Answer:

[tex]4x + 20[/tex]

Step-by-step explanation:

[tex]4(x + 3) + 8 = 4x + 12 + 8 = 4x + 20[/tex]

Answer:

500 grams

Step-by-step explanation:

we can conclude that the mass of each box is 0.5 kg by dividing 4 by 8

0.5 kg is 500 grams

Answer:

117

Step-by-step explanation:

well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117

Answer:

1 : 0.75.

Step-by-step explanation:

15/20 = 0.75

So its 1 : 0.75

Answer:

1 : 0.75

Step-by-step explanation:

20÷20=1

15÷20=0.75

n=0.75

Answer:  cash, paychecks, checks

Step-by-step explanation:

(: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (: (:

Answer:

5/12

Step-by-step explanation:

"When two dice are thrown, the total number of sample spaces is 36.

Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}

Total number of favourable outcomes = 15

Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."

This was taken from a Byjus post.

Hope this helps.

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

Answer:

I believe it is Dissolve.

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

    First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

    We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

    Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

    Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

    We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

    Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y