A spotlight can be adjusted to effectively light a circular area of up to 7
meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

Answer:

B  (1, 5), (2, 6), (3, 6), (4, 5), (5, 4)

Step-by-step explanation:

Answer:

10105

1542

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

c=7.17

Step-by-step explanation:

23=6c-20

43=6c

7.17=c

Answer:

7.16

I think this is correct

Answer:

he is at -3

Step-by-step explanation:

On a number chart, If he goes 3 left hes going 3 negative. So it would be -3

I hope this helps!

Answer:

-2

Step-by-step explanation:

You subtract 3 from one

First jump 0

Second jump -1

Third Jump -2

Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

Answer:

In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.

Step-by-step explanation:

Step-by-step explanation:

Answer

1,3,5,7,9

Step-by-step explanation:

Answer:

thirty-eight

Step-by-step explanation:

31+7= answer

Answer:

i think its either 38 or 24

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The area of the dark area = 3cm × 3cm = 9cm²

The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²

Now, the probability that the dart will hit a spot in the shaded square will be,

Probability = 9 / 315 = 0.028

Hence, the probability that the dart will hit a spot in the shaded square is 0.028.

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Answer:

The number of players the team can bring to the tournament is 16.

Step-by-step explanation:

With the information provided, the equation would express that the total cost to go to the tournament is equal to the price to rent a bus plus the result of multiplying the amount per player for meals for the number of players.

Total cost=896.50+47x, where:

x is the number of players

Now, as you know that the softball team raised $1,648.50 to go to a tournament, you can replace the total cost with this number and solve for x:

1,648.50=896.50+47x

1,648.50-896.50=47x

752=47x

x=752/47

x=16

According to this, the answer is that the number of players the team can bring to the tournament is 16.

Answer:

Equation:  47x + 896.5 = 1648.5

X= 16

Step-by-step explanation:

Delta Math

Answer:

69.282 m

Step-by-step explanation:

We can use the trigonometry of right triangles to solve this, since we are in the presence of a right triangle with acute angle 30 degrees, opposite side unknown (the vertical height of the cliff), and adjacent side equal to 120 m.

we use the tangent function to solve for the unknown, as shown below:

tan(30) = x/120

x = 120 * tan(30) = 69.282 m

1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2

2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=

=8x^3+10x^2+12x+15-8x^3+16x=

=10x^2+28x+15

Answer:

1. [tex]8x^2+xy-15y^2[/tex]           2. [tex]10x^2 + 28x + 15[/tex]

Step-by-step explanation:

For Question 1:

[tex](4x + 5y) (2x - 3y) + 3xy[/tex]

= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]

[tex]=8x^2+xy-15y^2[/tex]       (cannot simplify any further)

For Question 2:

[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]

[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]

[tex]=10x^2 + 28x + 15[/tex]         (cannot simplify any further)

Answer:

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Step-by-step explanation:

Giving the following information:

Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.

We need to establish a system of equations that represents this situation.

x= number of songs bought

y= number of movies bought

1.75*x + 2.5*y = 45

x + y = 20

Now, we can determine the x and y:

x= 20 - y

Substitute x:

1.75*(20 - y) + 2.5y = 45

35 - 1.75y + 2.5y = 45

0.75y = 10

y= 13

x= 20 - 13

x= 7

Prove:

1.75*7 + 2.5*13 = 45

7 + 13 = 20

Answer:

yes

Step-by-step explanation:

Answer:

oh yayay accountiationasionisiation is the longest word that a loooot of peple kno

Step-by-step explanation:

Answer:

your answer is going to be 384

Answer:

A. 5,562 feet higher

B. 0 feet

Step-by-step explanation:

A. Calculation for how many feet higher is denver than death valley

Numbers of feet=5,280 feet-(- 282 feet)

Numbers of feet=5,280 feet+282 feet

Numbers of feet=5,562 feet higher

Therefore the numbers of feet higher is denver than death valley will be 5,562 feet higher

B. Since ocean level tend to have 0 feet which means that in a situation where you were standing close to the ocean what the elevation would be is 0 feet.

Option c. 93°.

Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.

Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.

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Answer:

10h and 48min

Step-by-step explanation:

60*18=1080

1080/100=10.8

so 10.8h which means 10 hours and 48 min

Answer:

4x+3y=1

answer is y=-4/3x+1/3

Answer:

4,000 cm

Step-by-step explanation:

10,000 x 0.4

just do 10,000 x 4

(40,000)

and then move the decimal point one space to the left

(4,000)

Answer:

bro just use ur hand

Step-by-step explanation:

Answer:

Probably a lot considering Vegeta couldn't safely break an egg :)

Step-by-step explanation:

Answer:

the second one

so B

Step-by-step explanation:

Answer:

3.15=315% is true

Step-by-step explanation:

The last one D is true

I hope this helps. Best of luck

Answer:

[tex]\dfrac{v-u}{a}[/tex]

Step-by-step explanation:

The given equation should be:

v = u +at ...(1)

Where

u is initial velocity, v is final velocity, a is acceleration and t is time

We need to solve the above equation for t.

Subtract u from both sides.

v-u= u +at -u

v-u=at

Dividing both sides by a.

[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]

So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].