Answer:
Soil required = 453 cm³
Step-by-step explanation:
Volume of cone [tex]=\frac{1}{3}\times \texttt{base area}\times \texttt{depth}[/tex]
Base area of cone [tex]=\pi r^2=\pi \times 3^2=9\pi cm^2[/tex]
Depth of cone = 8 cm
Volume of one cone [tex]=\frac{1}{3}\times 9\times \pi \times 8=75.39cm^3[/tex]
Volume of six cones = 6 x 75.39 = 452.39 cm³ = 453 cm³
Soil required = 453 cm³
For the equation x^2+3x+j=0 , find all the values of j such that the equation has two real number solutions. Show your work.
The solution is j<2.25, meaning all values of j less than 2.25 will provide two real solutions.
For the equation [tex]x^2+3x+j=0,[/tex] to have two real number solutions, the discriminant must be greater than 0. The discriminant, D, of a quadratic equation [tex]ax^2+bx+c=0[/tex] is given by [tex]D=b^2-4ac[/tex].
In this case, a=1, b=3, and c=j. Applying the values, we get:
[tex]D=3^2-4(1)(j)[/tex]
D=9-4j
For two real solutions, D>0. Therefore:
9-4j>0
To find the values of j, solve the inequality:
9>4j
j<9/4
Thus, all the values of j that satisfy j<2.25 will ensure that the equation x^2+3x+j=0 has two real number solutions.
Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $36. If x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:
100 + 36x = C
Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?
I CANT PUT THE GRAPHS UP BUT I HOPE U UNDERSTAND
HELP PLEASE ASAP!!!!!!!!!!!!
1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:
Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12
Which of these is most likely the next step?
2m = 3
2m = 8
2m = 16
2m = 18
3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?
Two
Many
None
One
Answer:
Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
Step 1: Write the equation
Step 2: Apply distributive property to the left side and sum the constants to the right side
Step 3: Subtract 2x from both sides and add 8 to both sides:
Step 4: Divide both sides by 4:
Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer
unit rate would be miles per hour
so divide 210/3 = 70
Susan starded her homework at 1:59 p.m. And finished her homework 96 minutes later. Susan had volleyball practice at 4:00p.m.
How much time did Susan have between finishing her homework and the beginning of volleyball practice ?
The time Susan had between finishing her homework and the beginning of volleyball practice is 25 minutes.
How much time did Susan have?The first step is to convert the time she used to do her homework to hours and minutes.
1 hour = 60 minutes
96 minutes = 1 hour 36 minutes
Time she finished her homework = 1:59 + 1 : 36 = 3 : 35
Time she had = 4 - 3 : 35 = 25 minutes
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Question 4 (Fill-In-The-Blank Worth 4 points)
(05.01)The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.
Triangle with height of 16 inches and base of 14 inches.
Hello,
The correct answer is 112 Square Inches.
Hope this helps!!!! Happy Holidays!!!! (:
In the United States in 1990, about one person in 20 was 75 years old or older. Write this fraction as a percent
The net of a square pyramid is shown below: What is the surface area of the solid?What is the surface area of the solid?
32 square inches 14 square inches 20 square inches 24 square inches 32 square inches
Name two integers whose product is negative.
A net can be folded to form a cube. The numbers on the three faces meeting at any vertex can be multiplied together. What is the smallest such product for the vertices of this cube
Exactly 1/20 of the students in Mr.Perez's class have a bird.What Percentage of his students has a bird?
Help me plz so bad I don't want to get bad grade on this
Answer:
1. 16666666666667 2. .72727272727 3. .25
Step-by-step explanation:
all you do is divide the top number by the bottom number to get it in decimal form
A city planner designs a park that is a quadrilateral with vertices at J(-3, 1), K(1, 3), L(5,-1), and M(-1,-3). There is an entrance to the park at the midpoint of each side of the park. A straight path connects each entrance to the entrance on the opposite side. Assuming each unit of the coordinate plane represents 10 m, what is the total length of the path to the nearest meter?
Luca, Zane, and Zion together sold 77 tickets for the school banquet. Luca sold 22 tickets and Zane sold 29 tickets. How many tickets did Zion sell?
A.) 11
B.) 26
C.) 51
D.) 55
Maggie's brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie?
Solve the inequality 9(x - 3) < 4(x + 10).
x < 13/5
x > 13/5
x < 67/5
x > 67/5
What is the length of the unknown leg in the right triangle?
What is 23 percent of 134?
How many ways are there to choose a committee of 3 people from a group of 9 people?
Which graph represents the solution to the system of inequalities?
x + y ≤ 4
y – x ≥ 1
ANSWER BOTH QUESTIONS IF U CANT SEE THE CHOICES ITS FINE! ALL U NEED IS THE QUESTION
Answer:
12 and 13
Step-by-step explanation:
You want to lay tile in a room of your house. The room is 12 feet by 8 feet. What is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?
The side length is 4, and the side measure of the largest square tile is 4 feet.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you want to lay tile in a room of your house. The room is 12 feet by 8 feet.
Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them.
A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4).
16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4.
Therefore, the side length is 4, and the side measure of the largest square tile is 4 feet.
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Nick has two more than twice as many quarters as dimes.. one fewer than three times as many nickels as dimes, and eight more pennies than dimes.. he has $7.37. How many of each coin does he have?
Thank you so much :)
Answer ALL questions if u cant see all the answers its fine all u need is the question
How many groups of 100 pennies are in 100 pennies
Michael jogs 3,520 yards every day. What is the distance in miles that he will jog in 10 days? (1 mile = 1,760 yards) How do I figure the problem? Divide 10 into 3,520?
divide 3520 by 1760 to get miles per day
3520/1760 = 2 miles per day
2 x 10 = 20 miles in 10 days
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon
Answer:
Mars: [tex]\Delta W = 144\,lbf[/tex], Moon: [tex]\Delta W = 199.2\,lbf[/tex]
Step-by-step explanation:
The gravitational acceleration experimented by the same person on the Moon is equivalent to a sixth of the indicator on Earth and the same indicator on Mars is about 40 % of the terrestrial acceleration. Then, the difference in weight are computed below:
Mars:
[tex]\Delta W = (1 - 0.4) \cdot (240\,lbf)[/tex]
[tex]\Delta W = 144\,lbf[/tex]
Moon:
[tex]\Delta W = (1 - 0.17) \cdot (240\,lbf)[/tex]
[tex]\Delta W = 199.2\,lbf[/tex]
2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?
A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs
We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
Therefore 40 lbs of upward force must be pushed to open the valve.
Answer: B
Final Answer:
40 lbs of upward force must be pushed to open the valve that is option B is correct.
Explanation:
We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
Therefore 40 lbs of upward force must be pushed to open the valve.
A triangle has squares on its three sides as shown below. What is the value of x?
FIRST ONE GETS BRAINLIEST AND 12 PTS!!
bobs burgers pays waitresses $49.50 per day ans $5 every hour that they work. sammys sandwiches pays sandwich artists $25 per day and $8.50 each hour they work. how many hours would you have to work in order to earn the same amount of money from both restaurants?