The cost of filling the planter with soil is $6.24. option C
What is the cost of filling the planter with soil?
Length = 2 ft
Width = 2 ft
Height = 6 ft
Volume of the square based pyramid = ⅓ × length × Width × height
= ⅓ × 2 × 2 × 6
= ⅓ × 24
= 8 cubic feet
Cost of soil per cubic foot = $0.78
Therefore,
Cost of filling the planter with soil = Volume of the square based pyramid × Cost of soil per cubic foot
= 8 × $0.78
= $6.24
Complete question:
A planter in the shape of a square pyramid with dimensions 2 ft by 2 ft by 6 ft is being filled with soil. Soil cost $0.78 per cubit cubic foot What is the cost of filling the planter with soil?
a $24.00
b $8.00
c. $6 24
d. $18.72
how do u solve quadratic equations
Answer:
[tex]\frac{ -b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
1) the equation listed above is the quadratic formula! you can solve ANY quadratic equation with it
quadratic equations in the form of:
ax^2+bx+c
just substitute a,b,and c for the numbers in the quadratic equation!
2)factoring:
my 2nd favorite method:
your equation will be in the form of:
ax^2+bx+c
where you need to find:
what*what=c
and
what+what=b
once you find those two things out then substitute those numbers in place of "b"
for example:
x^2+7x+10
factors of 10: 5,2 10,1 -2,-5 -10,-1
factors of 10 that=7
5,2
so
x^2+5x+2x+10
now group this equation:
group a) x^2+5x
group b) 2x+10
gcf of group a) x
so
x(x+5)
group b) gcf:2
so
2(x+5)
combine the numbers outside the parantheses:
(x+2)(x+5)=0
x+2=0
x=-2
x+5=0
x=-5
hence x=-2,-5
hope this helps!
A right triangle has legs with lengths equal to 10inches and 9x inches. It’s hypotenuse measures (x+10) inches.
What is the approximate value of the hypotenuse?
Answer:
the answer is 10.25
Step-by-step explanation:
Answer:
the approximate value of the hypotenuse is 10.25 seconds
Step-by-step explanation:
The City Zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bill was $77.50. If two adults and three children got in for $70.00 then what is the price of an adult's ticket and what is the price of a child's ticket?
Answer:
The price of an adult's ticket is $18.5 and price of a child's ticket is $11.
Step-by-step explanation:
We are given the following in the question:
Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.
The cost of three adults and two children tickets is $77.50
Thus, we can write the equation:
[tex]3x + 2y = 77.50[/tex]
The cost of two adults and three children tickets is $70.00
Thus, we can write the equation:
[tex]2x+3y = 70[/tex]
Solving the two equations, we get
[tex]6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5[/tex]
Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.
A target survey found that 4 out of 5 customers who entered the store made a purchase. If this store recorded 22,853 purchased last week, estimate the number of customers who entered the store
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFraction 1 Over x EndFraction?
The range of both f(x) and g(x) is all real numbers
The range of both f(x) and g(x) is all nonzero real numbers
The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6
The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6
Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.
Step-by-step explanation: ..................Because I said so............................
Answer:
B
Step-by-step explanation:
The diagram shows AHJK. Which term describes point L?
5914 1404 393
Answer:
C. Incenter
Step-by-step explanation:
The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.
__
Other centers are ...
circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.
centroid - the intersection of medians
orthocenter - the intersection of altitudes
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Which statement about the function is true?
a) The function is increasing for all real values of x where
x < –4.
b) The function is increasing for all real values of x where
–6 < x < –2.
c) The function is decreasing for all real values of x where
x < –6 and where x > –2.
d) The function is decreasing for all real values of x where
x < –4.
Answer:
its A
Step-by-step explanation:
i got i right
Solve the following equation x = 0.8x + 72
Answer:
x=360
Step-by-step explanation:
Multiply both sides by 10
x*10=0.8x*10+72*10
Refine
x*10=8x+720
subtract 8x from both sides
x*10-8x=8x+720-8x
simplify
2x=720
Divide both sides by 2
2x/2 = 720/2
Simplify
x=360
Hope this helped !!!!!
The solution to the equation x = 0.8x + 72 is x = 360.
What is the solution to the given equation?Given the equation in the question:
x = 0.8x + 72
To solve the equation x = 0.8x + 72, we need to isolate the variable "x" on one side of the equation.
x = 0.8x + 72
Start by moving the term 0.8x to the other side of the equation.
Subtract 0.8x from both sides:
x - 0.8x = 0.8x - 0.8x + 72
x - 0.8x = 72
0.2x = 72
Now, divide both sides of the equation by 0.2 to solve for "x":
0.2x / 0.2 = 72 / 0.2
x = 72 / 0.2
x = 360
Therefore, the value of x is 360.
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Multiply (x−3)(x+2)
We FOIL, multiply firsts, outers, inners and lasts, and add them all up.
(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6
Answer: x² - x - 6
Answer:
x^2 - x - 6
Step-by-step explanation:
(x - 3) (x + 2)
you can use the distributive property and multiplyfirst, you multiply the first x by the second x.that would be x^2.then, you multiply the first x by 2.which is 2x. by now you should have x^2 + 2x.now, you multiply -3 by the second x. this equals -3x.now, you have x^2 + 2x - 3x.next, you multiply -3 by +2.this would result in -6.now combine all of the solutions you got and you should have:x^2 + 2x - 3x - 6the last step is to combine like terms.x^2 is an only term, so leave that alone.+2x and -3x are like terms. so, you want to add these.that would remain as x^2 - xnow, -6 is an only term as well. so, just leave that in the end.in conclusion, your answer is x^2 - x - 6In AABC, the measure of A is 108° and the
measure of B is 38° . What is the measure of
C?
Answer:
Should be 34
Step-by-step explanation:
Answer:
∠C=34
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees, so
∠A +∠B+ ∠C=180
We know that ∠A is 108, and ∠B is 38, so we can substitute them in
108+38+∠C=180
Combine like terms by adding 108 and 38
146+∠C=180
Subtract 146 from both sides
∠C=34
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false? Explain your reasoning.
Speed is a function of time.
Time is a function of distance.
Speed is a function of number of students racing.
Time is a function of speed.
Answer:
True
Step-by-step explanation:
since, S= D/T the distance traveled would only be 100m, it is a consatnt variable dividing it with the time it takes to reach that distance would be its speed. Unless there is an acceleration happening in that process the speed would change depending on the situation.
Final answer:
Speed is a function of time and time is a function of speed, with these relationships demonstrated through the equations speed = distance/time and time = distance/speed. The number of students racing does not affect an individual's speed.
Explanation:
A student asked several questions related to speed, distance, and time while analyzing a 100-meter sprint. To address these questions, we will look at the relationships between these quantities.
Speed is a function of time: True. Speed can be calculated as the distance traveled divided by the time it took, so if you know the time, you can calculate the speed using the equation speed = distance/time.
Time is a function of distance: False. Time can be a function of speed and distance (time = distance/speed), but this question does not provide information indicating that time is directly dependent on distance alone.
Speed is a function of the number of students racing: False. The speed of a student is independent of the number of students racing; it is determined by the individual's performance (distance/time).
Time is a function of speed: True. Given a constant distance, time can be calculated by dividing the distance by the speed (time = distance/speed).
Help due today pleas
Answer:
Cylinder A: 603.508
Cylinder B: 602.88
Step-by-step explanation:
Cylinder A:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
v=[tex]6.2^{2}[/tex]*5*3.14
V=38.44*5*3.14
V=192.2*3.14
V=603.508
Cylinder B:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]4^{2}[/tex]*12*3.14
V=16*12*3.14
V=192*3.14
V=602.88
In simplest terms what is the answer to 1/8added to 1/6
Answer:
7/24
Step-by-step explanation:
1/8 added to 1/6
means 1/8 plus 1/6
1/8 = 3/24,
1/6= 4/24
3/24 + 4/24 = 7/24
Answer:
7/24
Step-by-step explanation:
1/8+1/6
=(1*6)+(1*8)
------------------divide
8*6
=14/48
14/2
--------
48/2
=7/24
im sorry the math is weird my key board is small on this computer and i can only do so much but i hope that this helps you and you can do good in online school and happy quarantine stay home if you can to stop the spread of corona and help open the world again:)
You roll a number cube one time
What is the probability of not rolling a number more than 62 Write your
answer as a fraction.
Answer:
6/6 or 1/1
Step-by-step explanation:
A standard number cube has 6 sides to it. Therefore there are 6 possibilities, as you can roll either a 1, 2, 3, 4, 5, or 6.
The question is asking what the probability is for not rolling a number more than 62. To reword the question to get rid of the confusing 'not', "What is the probability of rolling a number less than 62?"
All the possibilities on the dice are less than 62, therefore it is guaranteed you will not roll a number more than 62. The probability is 1, or written as a fraction 1/1, or 6/6, since 6 sides of the 6 sided cube are less than 62.
Barbara has a bag that contains 8 blue coins and 2 red coins. She removes one coin at random, records the color, then places it back in the bag. She does this 50 times. She finds that P(blue) = 37/50. If Barbara does 100 trials of this experiment, how many blue coins could she expect to get?
Answer:
74
Step-by-step explanation:
37/50 * 100 = 74
Answer:
Step-by-step explanation:
After the outbreak of a mysterious disease the average wait time at a hospital increased by 70% before the outbreak the average wait time at the hospital was m minutes
Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
What is the slope of the line that passes through the points (22,-4)(−3,-9)? Write your answer in simplest form.
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line passing through two points by using the following
m = (y2-y1)/(x2-x1)
= (-9 - -4)/(-3 - 22)
= (-9+4)/(-25)
= -5/ -25
= 1/5
The slope of the line that passes through the points (22,-4) and (−3,-9) is calculated using the formula for slope. When calculated, the slope is found to be 1/5
Explanation:The slope of a line passing through two given points can be calculated using the formula: m = (y2 - y1) / (x2 - x1). Here, (x1, y1) and (x2, y2) are the coordinates of the two points.
In the given question, the points are (22,-4) and (−3,-9). When the values are entered into the formula, we obtain:
m = (-9 - (-4)) / (-3 - 22) = -5 / -25 = 1/5
So, the slope of the line passing through the points (22,-4) and (−3,-9) is 1/5.
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HELP TIMED TEST!!!!!!
For what values of x is x2-36=5x true?
-9 and -4
-4 and 9
4 and -9
9 and 4
Answer:
-4 and 9
Step-by-step explanation:
factored
(x - 9)(x + 4) = 0
with this x*x - 5x - 36 = 0
so x = 9 or x = -4
The side lengths of a triangle are 12, 15, and 10 square root 3. Classify the triangle.
Answer: Scaline?
Step-by-step explanation:
The triangle having sides 12, 15 and 10√3 is a Scalene type triangle.
Thus, the triangle having sides 12, 15, and 10√3 is a Scalene type triangle.
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PLEASE HELP ME ANSWER BOTH OF THESE QUESTIONS! IT WOULD REALLY HELP THANKS! a. How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.
b. What circular area is covered by the signal if the circumference is 754 miles?
Answer:
approximately 112.86 away from any direction away from the radio station.
A= 4521.07mi²
In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample of 80 adults in the large city, which of the following properly describes the sampling distribution of the sample proportion of adults who support the stadium?*
Answer: 0.46, 0.056, the distribution is approximately normal
Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10
Find the unknown side length, x. Write your answer in simplest radical form.
A. 24
B. 4 √ 37
C. 2 √ 154
D. 5 √ 117
PLEASE HELP!!
Answer:
b
Step-by-step explanation: i just took the test and B. is the correct answer
Answer:
(B) 4/37 is correct
Step-by-step explanation:
I got it correct on edge
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
a
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
b
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
c
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
d
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
Answer:
D
Step-by-step explanation:
Vus vi velt vike vit
The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
What is a Box Plot?A box plot is a graphical representation of the five-number summary of a data set.
The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).
Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:
Minimum = 0
Maximum = 9
Median = 3
Q1 = 1
Q3 = 5
Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
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Fred sold half of his comic books and then bought 7 more. He now has
11. How many did he begin with ?
Answer:
8
Step-by-step explanation:
11-7=4
4x2=8
answer=8
He has 8 comic books before he sold any of his comic books.
The population of a town is increasing at a rate of 2.8% per year. In 2001 the town had a population of 34,229. Find the population of the town in 2013
Answer:
The population of the town in 2013 is 47,677. (to the nearest whole number)
Step-by-step explanation:
To calculate this, we will compare the increase to the increase of the present value of an amount of money invested in 2001, increasing at an annual percentage rate of 2.8%, to yield the future value worth a certain amount in 2013. To calculate, the formula below is used:
FV = [tex]PV ( 1 + \frac{i}{n}) ^{n*t}[/tex]
where:
FV = Future Value = ???
PV = present value = 34,229
i = interest in decimal = 2.8% = 0.028
n = frequency of compounding period per year = 1
t = number of compounding years = 2001 to 2013 = 12 years.
FV = [tex]34,229(1+\frac{0.028}{1} )^{(1*12)}[/tex]
FV = 34,229 × (1.028)¹²
FV = 47,677.29 = 47,677 (to the nearest whole number)
PLZ HELP RIGHT NOW PLZ I WILL MARK BRAINLIEST I BEG NO SILLY ANWSER =(
anwser plz
1. 7(3-3x)=84 what is x
2. -7(-4-3m)=112 what is m
3.-182=7(2b-8)+7b what is b
4. -101 = -5(8x-5) -6 what is x
Answer:
1. x=-3
2. m=4
3. -6=b
4. x=3
Step-by-step explanation:
1. 7(3-3x)=84 what is x
- Distribute the 7 using distributive property, which will give you 21-21x=84.
- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.
- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3
2. -7(-4-3m)=112 what is m
- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.
- Subtract 28 to both sides, which will give you 21m=84.
- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4
3.-182=7(2b-8)+7b what is b
- Distribute the 7 using distributive property, which will give you -182=14b-56+7b
- Add like terms to get -182=21b-56.
- Add both sides by 56, which will get you -126=21b.
- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b
4. -101 = -5(8x-5) -6 what is x
- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.
- Add like terms to get -101=-40x+19.
- Subtract both sides by 19 to get -120=-40x.
- Divide both sides by 40 (the coefficient of x) to get 3=x.
Hope this helps!
The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options. Because the sets are symmetrical, the mean should be used to compare the data sets. Because the sets do not contain outliers, the MAD should be used to compare the data sets. Because the sets are not symmetrical, the IQR should be used to compare the data sets. Because the sets contain outliers, the median should be used to compare the data sets. The mean and mode cannot be accurately determined based on the type of data display.
This question is incomplete.
Complete question
The sets of data below show the heights, in inches, of students in two different preschool classes.
A) a box plot titled class 1.
The number line goes from 38 to 49. the whiskers range from 39 to 48, and the box ranges from 40 to 43. a line divides the box at 41.
class 1
B) A box plot titled class 2.
The number line goes from 38 to 49. the whiskers range from 38 to 49, and the box ranges from 39 to 42. a line divides the box at 41.
class 2
The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options.
• Because the sets are symmetrical, the mean should be used to compare the data sets.
• Because the sets do not contain outliers, the MAD should be used to compare the data sets.
•Because the sets are not symmetrical, the IQR should be used to compare the data sets.
•Because the sets contain outliers, the median should be used to compare the data sets.
•The mean and mode cannot be accurately determined based on the type of data display.
Answer:
• Because the sets are not symmetrical, the IQR should be used to compare the data sets.
• Because the sets contain outliers, the median should be used to compare the data sets.
• The mean and mode cannot be accurately determined based on the type of data display.
Step-by-step explanation:
In the above question, we can see that a teacher intends to compare the heights of students from two different classes.
Because the data sets to be obtained would contain heights from different classes the results obtained would be non symmetrical.
Hence the best statistical analysis to use to solve for or to compare a set of non symmetrical data is known as either the Median or an Interquartile range.
It is important to note that a non symmetrical data would most likely contain or include the presence of outliers.
Answer:
C, D, E.
Step-by-step explanation:
If your seeing this it means your finnaly doing your 67 missing assignments. I'm proud
Colin rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 3 and a tail?
Give your answer in its simplest form.
The probability of Colin getting a 3 on a die and a tail on a coin simultaneously is 1/12, obtained by multiplying the individual probabilities (1/6 for the die and 1/2 for the coin).
Explanation:The probability of obtaining a 3 when rolling a fair dice is 1/6, since a dice has 6 sides and only one of them is a 3. Similarly, the probability of obtaining a tail when flipping a fair coin is 1/2, because a coin has 2 sides, heads and tails.
The probability of both events happening (rolling a 3 and flipping a tail) is the multiplication of their individual probabilities. Hence, the probability is 1/6 times 1/2 equals 1/12.
So, the final simplified form of the probability of Colin rolling a 3 on a die and flipping a tail on a coin, according to the rules of probability, is 1/12.
To find the probability of rolling a 3 and flipping a tail, we need to determine the probability of rolling a 3 on the dice and the probability of flipping a tail on the coin, and then multiply these probabilities together. A fair dice has 6 equally likely outcomes, so the probability of rolling a 3 is 1/6. Similarly, a fair coin has 2 equally likely outcomes, so the probability of flipping a tail is 1/2. Multiplying these probabilities gives us (1/6) * (1/2) = 1/12. Therefore, the probability of obtaining a 3 and a tail is 1/12 in its simplest form.
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Find the area of a circle with radius 8.5m to the nearest square unit
Answer:
Circle Area = PI * radius^2
Area = PI * 8.5^2
Area = 226.98
Area = 227 square meters
Step-by-step explanation:
Given ABC = FGE find m
Answer:
Step-by-step explanation:
trg CDE ,<C=<E=(180-20)/2=80
trg ABC,<C=80
<A=180-(80+52)=180-132=48
so <F=<A=48 grades
The answer is attached.