Answer:
3181 ft²
Step-by-step explanation:
area of the pit = {πD²/4}/2
where dia. = 90 feet
plugin values into the formula:
area of the pit = {π (90)²/4)/2
= 3181 ft²
Angie is testing her science fair project, an erupting model volcano. In her first trial, she uses 3 drops of red coloring and 5 drops of yellow coloring for the lava. In her second trial, she uses 4 drops of red coloring and 8 drops of yellow coloring. Which trial had a lower ratio of red coloring to yellow coloring?
Given :
Angie is testing her science fair project, an erupting model volcano.
In her first trial, she uses 3 drops of red colouring and 5 drops of yellow colouring for the lava.
In her second trial, she uses 4 drops of red colouring and 8 drops of yellow colouring.
To Find :
Which trial had a lower ratio of red colouring to yellow colouring.
Solution :
Ratio at first trial :
[tex]R_1=\dfrac{3}{5}\\\\R_1=0.6[/tex]
Ratio at second trial :
[tex]R_2=\dfrac{4}{8}\\\\R_2=0.5[/tex]
Therefore, second trial had a lower ratio of red colouring to yellow colouring.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
The second trial has lower ratio
what is the answer to this? −1.3≥2.9−0.6r
Answer:
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Step-by-step explanation:
−1.3 ≥ 2.9 − 0.6r
Rewrite so r is on the left side of the inequality.
2.9 − 0.6r ≤ −1.3
Move all terms not containing r to the right side of the inequality.
Subtract 2.9 from both sides of the inequality.
−0.6r ≤ −1.3 − 2.9
Subtract 2.9 from −1.3.
−0.6r ≤ −4.2
Divide each term by −0.6 and simplify.
Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
−0.6r /−0.6 ≥ −4.2 /−0.6
Cancel the common factor of −0.6.
−4.2
r ≥ ______
−0.6
Divide −4.2 by −0.6.
r ≥ 7
The result can be shown in multiple forms.
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Consider a diving board that is 10 feet above a pool. If the ladder is 5 feet away from the base of the diving board, approximately how tall is the ladder
Answer:
15
Step-by-step explan
What makes the expression equivalent?
6(3x + 5) and 15x + ___ + 3x
30
Step-by-step explanation:
15x + J + 3x = 6(3x + 5)
18x + J = 18x + 30
-18x -18x
J = 30
Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15
Answer:
If
y
varies inversely as
x
then
XXX
x
⋅
y
=
c
for some constant
c
We are told when
x
=
2
then
y
=
15
So
XXX
2
⋅
15
=
c
XXX
⇒
c
=
30
and
XXX
x
⋅
y
=
30
Therefore when
y
=
3
XXX
x
⋅
3
=
30
XXX
→
x
=
10
Step-by-step explanation:
the cost of a 12-ounce bag of cashews is $5.86 what is the cost per ounce of the cashews to the nearest penny
Answer:
Answer:5.86÷12=0.5 in nearest penny
Step-by-step explanation:this number kind of problem u solve it using inversely proportional method one one quantity is decreasing which is the ounce
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
Point Q is the center of dilation. Triangles B prime C prime D prime and B C D are shown. The length of C prime Q is 3. The length of B prime C prime is 18. The length of D prime D is 2. The length of B D is 22 and the length of B C is 36. Angle B C D is 34 degrees and Angle B D C is 51 degrees. Triangle BCD was dilated using the rule D Subscript Q, one-half. What are the values of the unknown measures? m∠C'B'D' = ° CQ = B'D' =
Answer:
95 6 11
Step-by-step explanation:
im really smart lol jp :/
Answer:
m∠C'B'D' = 95
CQ = 6
B'D' = 11
Step-by-step explanation:
Edge2020
Have a great day! :)
In a class 20 of students, 6 play an instrument and 9 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student does not play an instrument given that they play a sport?
Answer:
31%
Step-by-step explanation:
Which of these constructions would construct a line of reflection that takes point A to point B?
Construct the perpendicular bisector of segment AB.
Construct a line through B perpendicular to segment AB.
Construct the line passing through A and B.
Construct a line parallel to line AB.
Answer:
2nd choice because the first wouldnt make sense because of the angle it is in
Step-by-step explanation:
We have that the constructions which would construct a line of reflection that takes point A to point B is Option D
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
From the Options
We have that
-Construct the perpendicular bisector of segment AB.
A perpendicular bisector will NOT Create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts
-Construct a line through B perpendicular to segment AB.
A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B
-Construct the line passing through A and B.
A line passing through A and B will NOT Create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
In conclusion
The constructions which would construct a line of reflection that takes point A to point B is Option D
Construct a line parallel to line AB
A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB
For more information on this visit
https://brainly.com/question/17570192
In an electrical circuit ,the voltage across a resistor is directly proportional to the current running through the resitor.If a current of twelve amps produces 480 volts across a resistor,how many volts would a current of 1.5 amps produce across an identical resitor?
Answer: The voltage across an identical resistor = 60 Volts
Step-by-step explanation:
Step 1
Given that voltage across the resistor is directly proportional to the current running through the resitor.
Mathematically, it would be represented as
Voltage ∝ Current
Introducing the constant of proportionality, k which represents the Resistor as it is constant.
we have that
Voltage = K x Current
When current = 12 amps and voltage = 480v, the constant of proportionality K
480 = k x 12
k = 480/12
k= 40
Step 2 ,
when current = 1.5 amps
Voltage = ?
Using our equation that
Voltage = K x Current
Voltage = 40 x 1.5
Voltage = 60 Volts
can anyone help me???
9514 1404 393
Answer:
1
Step-by-step explanation:
[tex](f\circ g)(-1)=f(g(-1))=f(4(-1)^2+2)\\\\=f(6)=\dfrac{8}{6+2}=1\\\\\boxed{(f\circ g)(-1)=1}[/tex]
Write and solve the algebraic inequality: The product of -5 and a number is at least -40.
A. -5x > -40; x > -8
B. -5x ≥ -40; x ≤ 8
C. -5x -8
D. -5x ≥ -40; x ≥ 8
Write the slope-intercept form of the equation of the line:
y − 2 =12(x − 1)
Answer:
y=12x+10
Step-by-step explanation: First you start off with PEMDAS and multiply 12 times x and -1. Which you'll have y - 2 = 12x - 12. Next you'll subtract 2 by both sides and your answer will be y = 12x -10
Answer:
y = 1/2x + 1 1/2
Step-by-step explanation:
Slope-intercept form is written with the formula [ y = mx + b ].
Solve for y.
y - 2 = 1/2(x - 1)
y - 2 = 1/2x - 1/2
y = 1/2x + 1 1/2
Best of Luck!
Find an equation for each line.
Commute times in the U.S. are heavily skewed to the right. We select a random sample of 200 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 27.5 minutes with a standard deviation of 18.9 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is the p -value for this hypothesis test?
Answer:
Step-by-step explanation:
Given that:
The population mean [tex]\mu[/tex] = 30
The sample size n = 200
The sample-mean [tex]\overline x[/tex] = 27.5
The sample standard deviation s = 18.9
The level of significance ∝ = 0.05
The null hypothesis and the alternative hypothesis can be written as:
[tex]H_o:\mu \ge 30 \\ \\ H_1: \mu < 30[/tex]
Since the alternative hypothesis indicates < sign, then this test is left-tailed
The t-test statistics is:
[tex]t =\dfrac{\overline x - \mu }{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t =\dfrac{27.5 -30 }{\dfrac{18.9}{\sqrt{200}}}[/tex]
[tex]t =\dfrac{-2.5}{\dfrac{18.9}{14.142}}[/tex]
t = -1.871
The p-value = P(t< -1.871)
From the standard normal t tables
The p-value = 0.0314
Thus, since the p-value is less than the level of significance ∝ = 0.05, then we reject the null hypothesis.
f(x) = 3x + 1
f(2)=?
Nia earns $13.50 hour. She has to pay weekly rent of $135 to her parents. Find out how much she will have left if she works 40 hours a week.
Answer:
$405
Step-by-step explanation:
$13.50 times the 40 hours is $540
$540 minus the $135 she has to pay her parents is $405
solve and graph on number line8 - 1y ≤ 7
Solution: y [tex]\geq[/tex] 1
Graph:
The equation p = 5, 000 • 24 represents the population of an invasive fish species in a large lake, t, years since 2005, when the fish population in the lake was first surveyed.
a. What was the population in 2005?
b. For this model, what does it mean when t is –2?
c. For t = −2, is the fish population more or less than 1,000? How do you know?
Answer:
thx
Step-by-step explanation:
Answer:A. The population of fish species in 2005 was 10000
Step-by-step explanation:
2005 = (t = 1)
Use intercepts to graph the linear equation −12x+3y=24.
Answer: slope is 4, y intercept is ( 0,8) , x intercept is (-2,0)
Step-by-step explanation: graph the line using the slope and and y intercept.
what is 8.24 as a percent?
Answer:
824% just move the decimal two place values?
Step-by-step explanation:
PLEASE HELP
this is a formula for a sequence, f(x) = 8 - 11x, what is f(8)?
Answer:
-80
Step-by-step explanation:
plug in 8 to the equation
8 - 11 (8)
multiply 8 and 11 first: 8 - 88
add 8 to -88: -80
Your friend's math test contained 42 questions, some of which were worth two points while therest were worth three points.Your friend tells you that a perfect score is 100 points, but shecannot remember how many of each type (2 point or 3 point) were on the test.Help your friendout:how many of each type were on the test?
Answer: Two points = 26
Three points = 16
Step-by-step explanation:
Let the 2 points questions be represented by x
Let the 3 points questions be represented by y
Since the math test contained 42 questions, some of which were worth two points while therest were worth three points. This can be written as:
x + y = 42 ........... equation i
Since a perfect score is 100 and some questions are worth two pints while others are worth 3 points. This can be written as:
2x + 3y = 100 ........... equation ii
x + y = 42 ........... equation i
2x + 3y = 100 ......... equation ii
Multiply equation i by 2.
Multiply equation ii by 1
2x + 2y = 84 ........ equation iii
2x + 3y = 100 ....... equation iv
Subtract equation iii from iv
y = 16
There are 16 3-points questions.
Since x + y = 42
x + 16 = 42
x = 42 - 16
x = 26
There are 26 2-points questions
Answer:
do you go to risdon
Step-by-step explanation:
Fernando is saving up for a new video game system that costs $159. He has $15 in his saving account already to put towards the syst
If Fernando starts saving $9 each week, in how many weeks will Fernando have enough money to buy the new video game system?
Answer:
159=15+9x x=16
Step-by-step explanation:
it will take Fernando 16 weeks to save up enough money
Answer:
16 weeks
Step-by-step explanation:
$159 - $15 = $144
$144 ÷ 9 = 16
What are some good tips too carry with me for my junior year in highschool, I need a lot of tips of how too stay organized, how too stay in task, and math help!!
Answer:
tbh stay away from the drama because that just gets u in everything and u dont want that and just focus on yourself to stay on task worry about everyone else and i need help on staying organized too
Step-by-step explanation:
please help I dont get this
I WILL MARK YOU AS BRAINLIEST
Answer:
it isn't proportional because it doesn't go through the origin.
Step-by-step explanation:
Express the rate as a unit rate.
$12 for 4.8 pounds
$ ____ per lb
Answer:
2.5 Hope that helps you
hey! may you please check if this is right, and if wrong give me the right answer?
Answer:
I think it is true , but I am not sure
Please help as soon as possible. I'm writing a research paper and this is one question it must answer. I am stuck on it.
Where in the real-world is the Pascal Triangle used? Provide at least 1 real-world situation.
cell division? kkkookwk
Answer:
One real life situation that Pascal's Triangle is used for is Probability
Step-by-step explanation:
One real life situation that Pascal's Triangle is used for is Probability, and combinations. We have situations like this all of the time. For example, say you are at an ice cream shop and they have 5 different ice creams. You want to know how many different ways you can pick two of the ice creams and eat them.
A corporateteam-building event costs $6, plus an additional $1 perattendee. If there are 35attendees, how much will the corporate team-building eventcost?
Answer:
$41
Step-by-step explanation:
