The number of puddles increases as
the amount of rain increases.
Identify the relationship.
A. number of puddles depends on amount of rain
B. amount of rain depends on number of puddles
Answers
This means that the number of puddles varies depending on the amount of rain that falls. As the amount of rain increases, the number of puddles also increases. Therefore, the number of puddles is not causing or influencing the amount of rain, but rather it is being affected by it.
Related Questions
Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.
Answers
Answer:
Answer:
124.84
Step-by-step explanation:
A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )
≈ 124.84313
Step-by-step explanation:
a circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?
Answers
Answer:4.8π
Step-by-step explanation:
Φ=48°
Area of circle=36π
Area of circle=π x r^2
36π=πr^2
Dividing both sides by π we get
r^2=36π/π
r^2=36
Take them square root of both sides
√(r^2)=√(36)
r=6
Area of sector=Φ/360 x π x r x r
Area of sector=48/360 x π x 6 x 6
Area of sector=(48xπx6x6)/360
Area of sector=1728π/360
Area of sector=4.8π
Jorge’s mom invested $8,000 dollars into a savings account for him to use to start a business once he graduated from college. If the account accrues interest continuously at a rate of 3.75%, how much money will be in the account in 30 years?
Answers
Answer:
9,000
Step-by-step explanation:
8,000/100=80
80x3.75=300
300x30=9,000
30 being the amount of years
An online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person. The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered. The simulation is shown in the following histogram.Based on the simulation, what is the probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered?
Answers
The probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered is 0.810.
As per the question an online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person.
The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered.
The simulation is shown in the following histogram(graph provided at the end of solution)
Based on the simulation, according to the bar graph , probability of at most 2 callers out of next 10 callers getting awaited by more than 8min is
P(x≤2) = P(0)+P(1)+P(2) {x is number of persons)
= 0.181+0.345+0.284= 0.810
So required probability is 0.810.
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perimiter question asap answer
Answers
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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An antique clock cost $540. Its price is increased by 18% in a year. What is it now worth?
Answers
Cost=$540
Increased amount= $(18/100*540) = $97.2
Cost now= $(540+97.2) = $637.2
Answer: The antique clock worths $637.2 now.
Hope it helps u! :)
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answers
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
Please Give Me The Answer
Answers
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Bruce hiked 8 miles in 2 hours. At this same rate, what is the total number of miles Bruce could hike in 7 hours?
Answers
Answer:
2 hours = 8 miles
1 hour = 4 miles
7 hours = 28 miles
Answer:
28 miles
Step-by-step explanation:
trust me
4+4 for 100 points brainlyist to first answer
Answers
Answer:
8
Step-by-step explanation:
plz me
Answer:
4+4=8
Step-by-step explanation:
.................
Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answers
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
Can anyone tell me the standard form of this parabola equation?
4y^2-x-24y+30=0
And this Circle equation in standard form.
2x^2+2y^2-18x-10y+7=0
Answers
Answer:
\(x=4y^2-24y+30\)
\((x-4.5)^2+(y-2.5)^2=23\)
Step-by-step explanation:
Standard form of a sideways parabola: \(x=ay^2+by+c\)
Given equation:
\(4y^2-x-24y+30=0\)
Add x to both sides:
\(4y^2-24y+30=x\)
\(\implies x=4y^2-24y+30\)
--------------------------------------------------------------------------------------------
Standard form of circle equation
\((x-a)^2+(y-b)^2=r^2\)
(where (a,b) is the center and r is the radius)
Given equation:
\(2x^2+2y^2-18x-10y+7=0\)
Group like terms:
\(2x^2-18x+2y^2-10y+7=0\)
Divide by 2:
\(x^2-9x+y^2-5y+3.5=0\)
Factor by completing the square for each variable:
\((x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0\)
Rearrange into standard form:
\((x-4.5)^2+(y-2.5)^2=23\)
Therefore, the circle has a center at (4.5, 2.5) and a radius of √23
Maya’s unpaid balance is $205.16. Her APR is 14.4% and she has $82.10 in new transactions. What is her new balance? Responses $289.72 $289.72 $290.71 $290.71 $316.80 $316.80 $533.45
Answers
Based on the information given the new balance is $289.72.
New balanceFirst step is to calculate the finance charge
\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)
\(\text{Finance charge}=205.16\times0.012\)
\(\text{Finance charge}=2.46\)
Second step is to calculate the New balance
\(\text{New balance}=205.16+2.46+82.10\)
\(\text{New balance}=\bold{\$289.72}\)
In conclusion, the new balance is $289.72.
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I need help solving a handful of problems 1) ax-by=c 2) ax-b+y=c 3)x/a-by=c 4) ax- y/b=c 5) a-x+by=c 6) a-x+by=c 7) -a+x-by=c
Answers
Given the linear equation;
\(ax-by=c\)We are asked to express the equation in terms of y
To do this, we have to rearrange the equation in such a way that "y" becomes the subject of the formula.
\(\begin{gathered} ax-by=c\mleft\lbrace subtract\text{ ax from both s}ides\mright? \\ ax-ax-by=c-ax \\ -by=c-ax \\ \text{Divide both sides by -b} \\ \frac{-by}{-b}=\frac{c-ax}{-b} \\ \therefore y=\frac{c-ax}{-b} \end{gathered}\)Therefore the answer is
ANSWER:
\(y=\frac{c-ax}{-b}\)Weekly revenue, in dollars, at Pizza Garden can be modeled by the equation y = 1000 + 18x, whe
sold. The pizzeria's weekly expenses, in dollars, can be modeled by the equation y = 1700 + 13x.
How many pizzas must be sold at Pizza Garden in a week for the pizzeria to break even?
Note: The phrase break even refers to the value where the two functions are equivalent. When x is less than the break-even value, the pizzeria has
revenue below expenses, and so it loses money. When x is above the break-even value, the pizzeria has revenue above expenses, and so it makes a
profit.
O 140
O 540
O 3500
O 3520
Answers
Answer:
To find the break-even point, we need to set the revenue equal to the expenses and solve for x:
1000 + 18x = 1700 + 13x
5x = 700
x = 140
Therefore, Pizza Garden needs to sell 140 pizzas in a week to break even. So the answer is 140.
marci car has a 12 gallon gas tank her fuel gauage says that there is 1/8 of a take left how many gallons of gas arelifet in the tank
Answers
The amount of gas that is left in the tank if there is only 1 / 8 of the tank is 1.5 gallons
How to calculate for amount in gallon?The car tank can accommodate 12 gallons of gas .
Her fuel gauge says that there is 1 / 8 of the tank left in the car tank.
Therefore, the amount of gas that is left in the tank is calculated as follows:
amount left in the tank = 1 / 8 × 12
amount left in the tank = 12 / 8
amount left in the tank = 6 / 4
amount left in the tank = 3 / 2
amount left in the tank = 1.5 gallons
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The angle times three out of 10 of the circle what is the measure of the angle
Answers
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
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The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
Mr.Chang needs to ship 8 boxes of cookies in a packing carton. Each box is a tight rectangular prism 8 inches long, 5 inches wide, and 3 inches high. What is the volume in cubic inches, of each box?
Answers
Answer:
120 inches cubed
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is length * width * height.
In this case, 8 inches long is the length, 5 inches is the width, and 3 inches is the height.
So multiplying all of those together gets you 120 inches cubed.
I just bought a rabbit farm with 6 rabbits (Brianna, Amber, Noah, Zaire, Leo, and Jazmin). I am
1
told that the population will grow very quickly. The guy I bought the farm from said that the
growth function was exponential and could be modeled by S(x) = 6(1.248)" where f(x) =
the number of rabbits and x = the number of days (Please answer all parts a - 1)
How many rabbits(round to the nearest rabbit) will I have after: (12 points)
a. 5 days
b. 10 days
c. 15 days
d. 20 days
e. 25 days
1. 30 days
tehere to
Answers
Answer:
Hey! Just plug in those numbers for X in the fuction so for example a would be 6 X (1.248)^5, then for b would be 6 X (1.248)^10, and so on
Step-by-step explanation:
2c-10<3c-9 solve the following inequality
Answers
Answer:
\(c > -1\)
Step-by-step explanation:
\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)
Difference between the two sets
\( \\ \\ \)
Let A = {1, 2, 3, 4, 5, 6, 7} B = {1, 3, 5, 7, 9} C = {0, 2, 4, 6, 10} Find the difference of the given pair of sets.
1.) A - B
2.) B - A
3.) (A ∪ B) - C
Answers
Answer:
1) A - B = {2, 4, 6}
2) B - A = {9}
3) (A ∪ B) - C = {1, 3, 5, 7, 9}
Step-by-step explanation:
Set Notation
\(\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}\)
Given sets:
A = {1, 2, 3, 4, 5, 6, 7}B = {1, 3, 5, 7, 9}C = {0, 2, 4, 6, 10}Question 1
\(\begin{aligned}\sf A-B & =\sf \{ 1, 2, 3, 4, 5, 6, 7 \} - \{1, 3, 5, 7, 9 \}\\& =\sf \{ 2, 4, 6 \}\end{aligned}\)
Question 2
\(\begin{aligned}\sf B-A & =\sf \{1, 3, 5, 7, 9 \} - \{ 1, 2, 3, 4, 5, 6, 7 \}\\& =\sf \{9 \}\end{aligned}\)
Question 3
\(\begin{aligned}\sf (A \cup B)-C & =\sf \left(\{ 1, 2, 3, 4, 5, 6, 7 \} \cup \{1, 3, 5, 7, 9 \} \right) - \{0, 2, 4, 6, 10 \}\\& =\sf \{ 1, 2, 3, 4, 5, 6, 7, 9 \} - \{0, 2, 4, 6, 10 \}\\& = \sf \{ 1, 3, 5, 7, 9 \}\end{aligned}\)
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Please help and thank you
Answers
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
4.5 - d > 2.5 substitute 2.5 for d
Answers
Answer:
so whats the question?
Step-by-step explanation:
Quadrilateral DEFG is a rhombus and m value of p
Answers
At a bagel shop the first 6 bagels purchased cost 55 cents apiece, and additional bagels cost c cents apiece. If a customer paid $5.70 for 12 bagels, what is the value of c?
Answers
Answer:
C = 0.475
Step-by-step explanation:
you divide 5.70 by 12 and get that one bagel costs 0.475 cents. hope this helps!
c=40 is the answer
6x55=330 cents
$570-570 cents (570-330)÷(12-)
=240÷6 (division)
=40 cents
Thus, c=40
What is the unitary method?The unitary method is a method for solving a problem by first finding the value of a single unit and then multiplying the value of a single unit to find the required value.
The unitary method is a procedure that calculates the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Simply put, the unitary method is used to find the value of a single unit from a given plural. For example, if the price of 40 pens is 400 rupees, the price of one pen would be: This can be done using a uniform method
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for the function f(x)=1/2(x-3)2 +6, what is the value of f(2)
so basically solve f(2)=1/2(x-3)2 +6
the third two is a small two btw next to x-3
Answers
1/2 times 2 = 1, 1/2 times 3= 1.5
(1-1.5)2+6
(-0.5) 2 + 6
1+6=7
I need help with these two questions please
Answers
Answer:
1) Option (b) 32km
2) Option (c) 17
Step-by-step explanation:
According to Pythagoras Theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
1) Perpendicular=?
Base=24km
Hypotenuse=40km
40²=P²+24²
1600=P²+576
1600-576=P²
1024=P²
√1024=P
32=P
2) Perpendicular=15
Base=8
Hypotenuse=?
H²=15²+8²
H²=225+64
H²=289
H=√289
H=17
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
Answers
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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Homework Progress 9 / 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.Homework Progress 9/ 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.
Answers
Answer:
Step-by-step explanation:
If the large Jar is $4.10 for 540g
and small jar $2.81 for 360 g
You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.
Large jar. $4.10/540 = $.0076 for 1 gram
Small Jar. $2.81/360 =$.0078 for 1 gram
Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.
Write the best example of an object with only potential energy
A. a Boulder resting on top of a cliff
B. a boat moving trough the water
C. a ball being thrown across a field
D. water being poured out of a pitcher
Answers
Answer:
The answer would be A. a boulder resting on top of a cliff
Step-by-step explanation:
potential energy is: the energy from an object at rest
kinetic energy: the energy expressed by an object in motion