In the graph the area below

Answer:

Step-by-step explanation:

Let L₀ be the luminosity as measured 1 m from the source

400 = L₀/7²

L₀ = 400(49) = 19,600 lumen

L = 19600 / 10²

L = 196 Lumen

Answer:

D

Step-by-step explanation:

Ordenered pairs g(x):

(0,0); (2,2); (- 2,2)

g(x) = ax² + bx + c

(0,0)

a.0² + b.0 + c = 0

c = 0

(2,2)

a.2² + b.2 + c = 2

4a + 2b = 2

(- 2,2)

a.(- 2)² + b.(- 2) + c = 2

4a - 2b = 2

4a + 2b = 4a - 2b

2b + 2b = 0

4b = 0

b = 0

4a + 2b = 2

4a = 2

a = 2/4

a = 1/2

g(x) = 1/2x² + 0x + 0

g(x) = 1/2x²

I hope I've helped you.

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

=

Any variable like

x

Percent / Percentage / %

=

Divide by 100

of

=

Multiply

is

=

Put an equal to (

=

) sign

I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

x

( What) /100 ( percent)

×

( of) 200

=

( is) 5

In a refined form,

x

100

×

200

=

5

Calculate x. On calculating, x comes out to be

2.5

So, 2.5 percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

87.5

%

=

87.5

100

and now using the same strategy, Ans:

875

1000

Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

n

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Janita should not but the table. If the table was 6 feet wide, the widest it can be, the area would be 45 square feet. If the table is 46 7/8 square feet, the width is greater than 6 ft.

Answer:

46 7/8 is roughly 9 feet by 5 feet, so she should not purchase the table because the length isn't of the table is too wide.

Step-by-step explanation:

Answer:

4x=12<=>x=3

Step-by-step explanation:

-3x+7x=4x

Answer:

-3

Step-by-step explanation:

-3x-2+7x=10

combine like terms

-3x+7x=10+2

-4x=12

divide

-4x/-4=12/-4

x=-3

Step-by-step explanation:

small braccket first = 216

then 5"216= 1080

5+1080-10

1085-10

1075

Answer:

2/3

Step-by-step explanation:

Because Im always right duhhh

Answer:

m=3/16

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y2-y1 / x2-x1

"y2" in this expression is 4 "y1" is 12

4 - 12 = -8

"x2" = 7 "x1" = 9

7 - 9 = -2

Then we divide the difference of the 2 y values and of the x values,

-8 divided by -2 = 4

Answer:

y-8=5/2(x+4)

Step-by-step explanation:

If you are trying to find the point slope formula, this would be the answer. The point slope formula is [tex]y-y_{1}=m(x-x_{1} )[/tex], where m is the slope. You can plug things in and get y-8=5/2(x+4)

Answer:

9m by 40m : yes

10m by 36m : yes

12m by 60m : no

15m by 30m : no

18m by 25m : no

Step-by-step explanation:

Essentially this question is asking us which dimensions of the rectangles would form a park that has the same area as the triangular park.

So the first step is to calculate the area of the triangular park.

The area of a triangle can be calculated using the formula, A = (bh)/2

where b = base length and h = height.

We are given the dimensions of the triangle and it appears that the height of the park is 20m while the base length is 36m

So we have A = (bh)/2

we know that b = 36 and h = 20

So area of triangular park = (36 * 20)/2

36 * 20 = 720

720 / 2 = 360

So the area of the triangular park is 360m²

Now we want to find which dimensions of a rectangle would create a park that has the same area of the triangular park, more specifically an area of 360m²

(Note that area of a rectangle is simply length times width )

The first rectangle dimensions are 40m by 9m. These dimensions would create a park with an area of 40 * 9 = 360m². This is the same as the triangular park so the answer would be yes for this one.

The second rectangle dimensions are 10m by 36m These dimensions would create a park with an area of 36 * 10 = 360m², which is also the same as the area of the triangular park meaning the answer for this one is also yes.

The third rectangle dimensions are 12m by 60m. These dimensions would create a park with an area of 60 * 12 = 720m². this is not the same as the area of the triangular park so the answer is no for this one.

The forth rectangle dimensions are 15m by 30m. These dimensions would create a park with an area of 30 * 15 = 450m², which is also not the same as the area of the triangular park meaning that the answer for this one is no.

Finally, the last rectangle dimensions are 18m by 25m. These dimensions would create a park with an area of 18 * 25 = 450m². These dimensions would also not create a park with the same area as the triangular park therefore the answer to this one is also no.

Answer: I believe the answer is 60%

50000 tens

5000hundreds

How?

50000 tens:-

[tex]\\ \sf\longmapsto 50000(10)=500000[/tex]

5000hundreds

[tex]\\ \sf\longmapsto 5000(100)=500000[/tex]

The number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that a number that is:

= 500, 000

In the above number there is five zeroes

As we know,

Tens = 10 (one zero)

Hundreds = 100 (two zero)

We can write the above number as follows:

500,000 = 50,000x10 = 5,000 tens

500,000 = 5,000x100 = 5,000 tens

The number 500,000 can be composed of:

Where tens mean 10 and hundreds mean 100.

Thus, the number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

209.70

Step-by-step explanation:

209.70 to 2decimal places

Answer for the 1st question: 169 times

Answer for the 2nd question: Circumference of Circle B = 2.01

Answer:

v = 260

Step-by-step explanation:

You have to multiply all the values given together (13 x 3 x 20) and then divide that by 3.

Step-by-step explanation:

[tex]\large \rm \red{\widetilde{Taking\ RHS:-}}[/tex]

[tex]\rm :\longmapsto \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1}[/tex]

Rationalizing, we get

[tex]\rm :\longmapsto \dfrac{1}{3+\sqrt7} \times \dfrac{3-\sqrt7}{3-\sqrt7} + \dfrac{1}{\sqrt7 + \sqrt5} \times \dfrac{\sqrt7 - \sqrt5}{\sqrt7 - \sqrt5}[/tex]

[tex]\rm + \dfrac{1}{\sqrt5 + \sqrt3} \times \dfrac{\sqrt5 - \sqrt3}{\sqrt5-\sqrt3} + \dfrac{1}{\sqrt3 + 1} \times \dfrac{\sqrt3 - 1}{\sqrt3 -1}[/tex]

[tex]\rm :\longmapsto \dfrac{3 - \sqrt7}{(3)^2 - (\sqrt7)^2}[/tex]

[tex] + \dfrac{\sqrt7 - \sqrt5}{(\sqrt7)^2 - (\sqrt5)^2} [/tex]

[tex]+\dfrac{\sqrt5 - \sqrt3}{(\sqrt5)^2 - (\sqrt3)^2} +[/tex]

[tex]\dfrac{\sqrt3-1}{(\sqrt3)^2 - 1^2}[/tex]

Given info:- Rationalisie the denominator of the following 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1) = 1, also show that Left hand side is equal to Right hand side that means LHS = RHS.

Explanation:-

On rationalising the denominator, we get

First term: 1/(3+√7)

⇛{1/(3+√7)}×{(3-√7)/(3-√7)}

⇛{1(3-√7)}/{(3+√7)(3-√7)}

⇛(3-√7)/{(3)²-(√7)²}

⇛(3-√7)/{(3*3)-(√7*7)}

⇛(3-√7)/(9 - 7)

⇛(3-√7)/2

Second term: 1/(√7+√5)

⇛{1/√7+√5)}×{(√7-√5)/(√7-√5)}

⇛{1(√7-√5)}/{(√7+√5)(√7-√5)}

⇛(√7-√5)/{(√7)²-(√5)²}

⇛(√7-√5)/{(√7*7)-(√5*5)}

⇛(√7-√5)/(7-5)

⇛(√7-√5)/2

Third term: 1/(√5+√3)

⇛{1/(√5+√3)}×{(√5-√3)/(√5-√3)}

⇛{1(√5-√3)}/{(√5+√3)(√5-√3)}

⇛(√5-√3}/{(5)²-(√3)²}

⇛(√5-√3)/{(√5*5)-(√3*3)}

⇛(√5-√3)/(5-3)

⇛(√5-√3)/2

Fourth term: 1/(√3+1)

⇛{1/(√3+1)}×{(√3-1)/(√3-1)}

⇛{1(√3-1)}/{(√3+1)(√3-1)}

⇛(√3-1)/{(√3)²-(1)²}

⇛(√3-1)/{(√3*3)-(1*1)}

⇛(√3-1)/3-1

⇛(√3-1)/2

Hence, LHS = 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1)

Now, Substitute their rationalised value in expression, we get

= (3-√7)/2 + (√7-√5)/2 + (√5-√3)/2 + (√3-1)/2

Take the LCM of all the denominator 2,2,2 and 2 is "2".

= (3-√7+√7-√5+√5-√3+√3-1)/2

= (3-1)/2

= 2/2

= 1

= RHS proved.

Hope this may help you.

If you have any doubt, then you can ask me in the comments.

Answer:

Those three pieces should be 15 inches, 20 inches and 24 inches long.  

Step-by-step explanation:

Answer:

[tex]6^{21}[/tex]

Simplified is [tex]2.193695064*10^{16}[/tex]

I don't know if A is supposed to [tex]6^{21}[/tex]

Step-by-step explanation:

You have to use the  Power rule: [tex](x^a)^b=x^{ab}[/tex]

So [tex](6^7)^3=6^{7(3)}[/tex]

[tex]6^{21}[/tex]

Simplified is [tex]2.193695064*10^{16}[/tex]

Answer:

the answer is D according to my scorrs

Answer:

Root 2 = 2 - root 3

Step-by-step explanation:

According to question

root 1 = 2 + root 3

and as we know

that  two root of an equation are   b + root 4ac / 2a and b - root 4ac

Thus

Another root

I hope this was helpful!

God Bless!

Answer:

4(5)+4 = 24

4+5+4 = 13

4+(5+4) = 13

5+(4+4) = 13

I was having trouble understanding your question; 20+16 = 36. None of the expressions are equivalent to the sum

Answer:

154.92

Step-by-step explanation:

2014/13=154.92

Answer:

Option 2: [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\bf\mathsf{x^3\:x^{-7}}[/tex]:

In order to determine its equivalent exponential expression, we must apply the Negative Exponent Rule, where it states that: [tex]\LARGE\bf\mathsf{a^{-n}\:=\:\frac{1}{a^{n}}}[/tex].

Therefore, the equivalent expontial expression of [tex]\bf\mathsf{x^3\:x^{-7}}[/tex]  is in Option 2:  [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex].

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

a) 3^2×3^2

=3^(2+2)

=3^4

b)7×7^4

=7^(1+4)

=7^5

c)10^9÷10^7

=10^(9-7)

=10^2

d)5^8÷5

=5^(8-1)

=5^7

Answer:

2, 10, 50, 250, 1250

Step-by-step explanation:

this is the answer because every time you will times the answer by five the first answer 2 times 5 equals 10, 10 times 5 is 50, 50 times 5 equals 250, 250 times 5 equals 1250.

plz give be brainiest

Answer:

x < 5

Step-by-step explanation:

2x < 10 ( divide both sides by 2 )

x < 5

Step-by-step explanation:

f(x) = 5x - 8

g(x) = 9 - 6x²

= (fog)(-3)

= f( g(3) )

= 5x - 8

= 5(9 - 6x²) - 8

= 5(9 - 6(-3)² ) - 8

= 5(9 - 54) - 8

= 5(-45) - 8

= -225 - 8

= -233

(fog)(-3) = -233

Answer:

x=-3 and y=10 are not functions, and 3x+2x=3 is

Step-by-step explanation:

Correct me if i'm wrong