For light: Inverse Square Law
The signal is weaken by the inverse square of the
difference of distances this means that one over the square of the
difference.
Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.
2 For a circular telescope like the
Arecibo radio telescope that equals Pi times the radius squared. Sensitivity
of the telescope depends on its area.
The new telescope needs 246462.60 times that area to have
enough sensitivity
(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope
and that times 246462.60
= 1.74212 x 10^10
What is the diameter of a circle with that area?
1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293
3. Multiply by 2 to find the diameter = 148971.886
anna has 12 quarters 4 dimes 11 nickels in her piggy bank. how much money is in the bank
A) $3.00
B) $3.25
C) $3.75
D) $3.95
Which unit rates would be appropriate for describing the amount of rainfall over time?
Select each correct answer.
meters per second
milliliters per minute
centimeters per day
inches per hour
The unit rate appropriate for describing the amount of rainfall over time is centimeters per day. Therefore, option C is the correct answer.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Here,
Rainfall amount is expressed as the quotient of a unit of height and a unit of time.
The way to choose the most appropriate is the relation between both quantities.
For example, "meters per second" is a way too high unit for the height (which is usually inches or millimeters, instead of meters) and way too low for the time unit (which is usually per day, not seconds). This unit would have a really small number for any rain.
The most common unit is "centimeters per day"
Then, we should find a unit rate with a small unit for height and a large unit for time.
Therefore, option C is the correct answer.
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What is 9.187 to the nearest tenth? And hundredth and one
Write 0.0000648 in scientific notation. (PLEASE ANSWER XD)
In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corporate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction
Answer: [tex]\dfrac{1}{90}[/tex]
Step-by-step explanation:
Given : The total number of companies = 720
The number of companies won = 8
Now, the probability of a company winning is given by ;-
[tex]\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}[/tex]
Hence, the probability of a company winning is [tex]\dfrac{1}{90}[/tex].
what is the square root of 49/121?
Which equation is a point slope form equation for line AB ?
A. y+1=−2(x−6)
B. y+6=−2(x−1)
C. y+5=−2(x−2)
D. y+2=−2(x−5)
Answer: D . [tex]((y+2)=-2(x-5)[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-
[tex](y-d)=\dfrac{d-b}{c-a}(x-c)[/tex]
From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).
Then the equation for the line AB in point-slope form would be :-
[tex](y-(-2))=\dfrac{-2-6}{5-1}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=-2(x-5)[/tex]
Hence, the equation is a point slope form equation for line AB :
[tex](y+2)=-2(x-5)[/tex]
ryan has a board that is 5 feet long. how many 1/3-foot sections can he cut from this board?
Answer:
15
Step-by-step explanation:
A line is defined by the equation y=-x+3 Which shows the graph of this line.
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-x+3[/tex]
we know that
The slope of the line is negative [tex]m=-1[/tex]
The y-intercept of the line is the point [tex](0,3)[/tex] (value of y when the value of x is equal to zero)
The x-intercept of the line is the point [tex](3,0)[/tex] (value of x when the value of y is equal to zero)
therefore
the graph in the attached figure
Answers So it's just A
Step-by-step explanation:
What is the equation of the graphed line?
enter answer in slope-intercept form in the box
Answer:
[tex]y=-\frac{9}{8}x+7[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept
point [tex](8,-2)[/tex]
substitute the value of x , y and b in the equation to solve for m
[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]
[tex]m(8)=-2-7[/tex]
[tex]m=-9/8[/tex]
therefore
the equation is equal to
[tex]y=-\frac{9}{8}x+7[/tex]
19.5% to a fraction
Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why
What is the area of figure EFGHI below?
Answer:
The answer is C.
Step-by-step explanation:
I learned about it.
Patricia donated 1 pint of blood to the blood bank. The lab assistant divided Patricia’s blood equally into 3 bags.
How much blood was in each bag?
Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.
To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.
Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag.
The calculation is as follows:
[tex]\[ \text{Blood per bag} = \frac{\text{Total blood donated}}{\text{Number of bags}} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1 \text{ pint}}{3} \][/tex]
[tex]\[ \text{Blood per bag} = \frac{1}{3} \text{ pint} \][/tex]
Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood.
Which of the following is not a possible value for a probability?
A. 0.001
B. 1/10
C. 11/10
D. 1/16
1.9x=3x-36 Solve for X
2. 9z+10=1-3(5-3z) How many solutions does the equation have?
3.3y+10/4=2y what is the value of Y
4.2x+4=2(x+2) What statement about the equation is true
5.4(z-5) +2 =4z-18 how many solutions does this equation have
What's the exact value of tan(-4pi/3)
If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning
Division and multiplication are reciprocal operators.
Dividing the positive number by 1/4 will make the positive number bigger.
From the question, we understand that:
1/4 makes the positive number smaller, when it is multiplied to the positive number.
Because division and multiplication are reciprocals,
Dividing the positive number by 1/4 will make the positive number bigger.
Hence, what division does to the positive number is that: It makes it bigger
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Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?
Answer:
Julie received $134.4 when she cashed her paycheck .
Step-by-step explanation:
Let the amount of paycheck be x
She paid $10 to her brother
She then spent $30 on fuel for her car
So, She left with amount = x-40
Now She spent half of the remaining money on a new tent for camping
Spent on camping = [tex]\frac{1}{2}(x-40)[/tex]
Remaining = [tex](x-40)-\frac{1}{2}(x-40)[/tex]
She bought a pair of running shoes for $29.45
So, Remaining = [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]
We are given that She had $17.75 left.
So, [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]
[tex]x=134.4[/tex]
Hence Julie received $134.4 when she cashed her paycheck .
What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
The correct answer would be y + 2 = - 3/2 ( x - 2 )
Please mark brainliest
graph the equation y=3/5x on the coordinate plane
A graph of the linear function y = 3/5(x) is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear function y = 3/5(x) is in slope-intercept form, we would start by plotting the y-intercept:
y = 3/5(x)
y = 3/5(0)
y = 0
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.
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G(4)=x^2 + 3
And the steps to solve, please.
A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh
The weight of the cheesy popcorn is 5/8 pounds.
To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.
The calculation is as follows:
Total weight of the box = 15/16 pounds
Cheesy popcorn weight = (2/3) * (15/16)
Cheesy popcorn weight = (2 * 15) / (3 * 16)
Cheesy popcorn weight = 30 / 48
When simplified, this gives us 5/8 pounds
Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.
Solve for x. 4.6x<−15.64 Enter your answer, as an inequality, in the box.
The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
An expression 4.6x < -15.64 is given in the question.
We have to find that what will be the value of x.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
The given expression is ;
4.6x < -15.64
Let's solve it to get the value of x.
⇒ 4.6 x < -15.64
⇒ x < -15.64 / 4.6
⇒ x < -3.4
Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
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A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?
Round 28.26 to one decimal place
the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?
What is 3x5+2x8+2 do you know
HELP!!
Which story problem could be solved using the given equation?
1/5x2/3=m
A
Lucas needs a wooden strip that is 2/3 yard long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can he cut from the 2/3 yard long strip?
B
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
C
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
D
Lucas’s kitten is 2/3 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?