What is the total length of 15 rods?
Answer:
5.7
Step-by-step explanation:
three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area of the bases are all 15 square units?
The Pyramid would have a height of 3 units to have a volume of 15 cubic units and base area of 15 square units. The correct option is B
What is an equation?
An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
The volume of an oblique pyramid is given by:
Volume = (1/3) * base area * height
The base area is 15 square units and the volume is 15 cubic units. If h is the height, hence:
15 = (1/3) * 15 * h
h = 3 units
The Pyramid would have a height of 3 units to have a volume of 15 cubic units and base area of 15 square units.
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what is the common difference between successive terms in the sequence? 9, 2.5, –4, –10.5, –17, ...
The common difference between successive terms in the sequence is -6.5
What is the common difference between successive terms in the sequence?from the question, we have the following parameters that can be used in our computation:
9, 2.5,
The common difference is calculated as
Difference = Second term - First term
using the above as a guide, we have the following:
Difference = 2.5 - 9
Evaluate
Difference = -6.5
Hence, the common difference is -6.5
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-2x - y = -13
2x + 2y = 8
Answer:
the first one is (6.5,13)
the second one is (4,4)
Step-by-step explanation:
-2x-0=-13
-2x=-13 divide -2 by -13
x=6.5
-2(0)-1y=-13
0-1y=-13
-1y=-13
13
so that gives you (6.5,13)
2x+2(0)=8
2x+0=8
2x=8 divide two by eight
x=4
2(0)+2y=8
0+2y=8
2y=8 divide two by eight
y=8
what is 5/12 times 5 6/7?
Answer:
For decimal rounded to the hunderdths - 2.44
For fraction - 2 37/84
Step-by-step explanation:
2 37/84
Identify the property that justifies the statement. OP ≅ RS, so RS ≅ OP
Please Hurry!!!!
Answer: Sym. Prop. of ≅
Step-by-step explanation:
no explanation
PLEASE I DON'T WANT TO FAIL
Look for the equation
( No slope just equations )
Pls help me with 10 asap I will mark brainiest if it’s correct
The value of p from the given equation is 4.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign \(=\\\).
The given equation is \(0.5p-3.45=-1.2\)
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
\(0.5p-3.45=-1.2\)
\(0.5p= -1.2+3.45\)
\(0.5p= 2.25\)
\(p= 2.25\div0.5\)
\(p= 4.5\)
Therefore, the value of p is 4.5.
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Ana has $15 in the bank. Her sister Benita has 1/3 as much money in the bank. How much money does Benita have in the bank?
Answer:5
Step-by-step explanation: you divide 15 by 3 which gives you 5
A garden table and a bench cost $689 combined. The garden table costs $39 more than the bench. What is the cost of the bench?
A bicycle store costs $3000 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
A bicycle store costs $3000 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80, The store must sell 75 bicycles each month to break even.
To determine the number of bicycles the store must sell each month to break even, we need to consider the costs and revenues involved.
Let's denote the number of bicycles sold each month as "x".
Costs:
The store incurs a fixed cost of $3000 per month to operate.
Variable Costs:
The store pays an average of $40 per bike, so the variable cost for x bikes would be 40x dollars.
Total Costs:
The total cost (TC) is the sum of the fixed and variable costs:
TC = Fixed Cost + Variable Cost
TC = 3000 + 40x
Revenues:
The average selling price of each bicycle is $80, so the total revenue (TR) for x bikes would be 80x dollars.
To break even, the total revenue should equal the total cost:
TR = TC
Substituting the expressions for TR and TC, we have:
80x = 3000 + 40x
Simplifying the equation:
80x - 40x = 3000
40x = 3000
x = 3000 / 40
x = 75
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a lines slope is 15 and its y-intercept is 2. what is its equation in slope intersept form
Answer:
y = 15x + 2
Step-by-step explanation:
Use the slope-intercept form:
y = mx + b becomes
y = 15x + 2
Answer:
y = 15x + 2
Step-by-step explanation:
An equation written in slope-intercept form will have the structure of:
y = mx + b
m is the slope. b is the y-intercept.
We know:
slope: 15
y-intercept: 2
Let's plug in what we know.
y = mx + b
y = 15x + 2
This is your equation.
Hope this helps!
The Cartesian coordinates of a point are given. (a) (-6, 6) Find the following values for the polar coordinates (r, 0) of the given point. 2 tan (0) = (1) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2. (r, 0) = (ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 ≤ 0 < 2. (r, 0) =
To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:
r = √(x² + y²)
θ = arctan(y / x)
(a) For the given point (-6, 6):
x = -6
y = 6
First, let's find the value of r:
r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2
Next, let's find the value of θ:
θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)
Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).
(b) For r > 0 and 0 ≤ θ < 2:
In this case, the polar coordinates will remain the same: (6√2, -π/4).
(c) For r < 0 and 0 ≤ θ < 2:
Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.
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A radio station surveyed 190 students to determine the types of music they liked. The survey revealed that 114 liked rock music, 50 liked folk music and 41 liked classical music, 14 liked rock music and folk music, 15 liked rock music and classical music, 11 liked classical music and folk music, 5 liked all the three of music.
Find:
(i) How many did not like any of the 3 types?
(ii) How many liked any two types only?
(iii) How many liked folk music but not rock music?
i) 170 students did not like any of the three types of music.
ii) 30 students liked any two types only.
iii) 36 students liked folk music but not rock music.
To solve this problem, we can use the principle of inclusion-exclusion.
Let's define the following events:
A: Liked rock music
B: Liked folk music
C: Liked classical music
We are given the following information:
|A| = 114 (number of students who liked rock music)
|B| = 50 (number of students who liked folk music)
|C| = 41 (number of students who liked classical music)
|A ∩ B| = 14 (number of students who liked both rock music and folk music)
|A ∩ C| = 15 (number of students who liked both rock music and classical music)
|B ∩ C| = 11 (number of students who liked both folk music and classical music)
|A ∩ B ∩ C| = 5 (number of students who liked all three types of music)
(i) To find the number of students who did not like any of the three types of music, we need to find the cardinality of the complement of the union of A, B, and C. Using the principle of inclusion-exclusion:
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
|A ∪ B ∪ C| = 114 + 50 + 41 - 14 - 15 - 11 + 5 = 170
So, 170 students did not like any of the three types of music.
(ii) To find the number of students who liked any two types only, we need to find the cardinality of the symmetric difference of (A ∩ B), (A ∩ C), and (B ∩ C). Using the principle of inclusion-exclusion:
| (A ∩ B) ∪ (A ∩ C) ∪ (B ∩ C) | = |A ∩ B| + |A ∩ C| + |B ∩ C| - 2 |A ∩ B ∩ C|
| (A ∩ B) ∪ (A ∩ C) ∪ (B ∩ C) | = 14 + 15 + 11 - 2 * 5 = 30
So, 30 students liked any two types only.
(iii) To find the number of students who liked folk music but not rock music, we need to find the cardinality of B ∩ (A complement). Using the principle of inclusion-exclusion:
|B ∩ (A complement)| = |B| - |A ∩ B|
|B ∩ (A complement)| = 50 - 14 = 36
So, 36 students liked folk music but not rock music.
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how many apples does john eat
Answer:
you gave no context....so ill just guess 3.
The weights of the melons harvested from a patch are distributed normally. The mean weight is 6 pounds; the standard deviation is 0.25 pounds. Which is closest to the percent of melons that weigh 6.25 pounds or less?A) 34B) 68C) 84D) 98
As it is normally distributed, we can use Z to find the result.
Procedure
0. Finding the value of ,Z
\(Z=\frac{x-\mu}{\sigma}\)1.2. Replacing the values given in the problem:
\(Z=\frac{6.25-6}{0.25}\)\(Z=\frac{0.25}{0.25}=1\)2. As it is normally distributed:
\(P(x\le6.25)=P(Z\le1)\)3. Using the normal standard table, we can conclude:
\(P(Z<1)=0.8413\)As it is asking for a percentage, we multiply by 100.
Answer: C) 84%
\( \tiny 5 + 9 \div 3 - 1\)
\( \tiny \textsf{find \: the \: equivalent \: expression \: }\)
Use magnifying glass for question ~ lol
Answer:
1)
\(5 + 9 \div 3 - 1 = 7\)
2) Find the Equivalent Expression ?\(5(x - 1) + 7 = 5(x) + 5( - 1) + 7\)
\( = 5x - 5 + 7\)
\( = 5x + 2\)
\(\huge{\underline{\underline{\boxed{\sf{\green{ǫᴜᴇsᴛɪᴏɴ}}}}}}\)
5 + 9 ÷ 3 -1 = ???\(\large\huge\green{\sf{Answer:-}}\)
7 is correct answer\(\huge{\underline{\underline{\boxed{\sf{\green{Explanation:-}}}}}}\)
\( \red {\mathbb{ \underline { \tt By \: using \: BODMAS \: Rule}}}\)
➡5 + 9 ÷ 3 -1
= 5+3 -1
= 8-1
= 7
:)
problem 5 (30 points, each 10 points). in a chemical plant, 24 holding tanks are used for final product storage. four tanks are selected at random and without replacement. suppose that four of the tanks contain material in which the viscosity exceeds the customer requirements. 1. what is the probability that exactly one tank in the sample contains high-viscosity material? 2. what is the probability that at least one tank in the sample contains high-viscosity material? 3. in addition to the four tanks with high-viscosity levels, four different tanks contain material with high impurities. what is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
1. The probability of selecting exactly one tank with high-viscosity material is 0.
2. The probability of selecting at least one tank with high-viscosity material is 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.
1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.
2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.
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can someone help me solve this?
Answer: -17, 17, -3, 3, -7, 7,
Step-by-step explanation:
Find all Factors of -18, (got -18 from multiplying 6 and -3)
Add the factors together. (+/- 6 and +/- 3), (+/-9 and +/-2), (+/-18 and +./-1)
Your uncle wants to create a dog small enough to fit into a purse. Of the hundreds of dogs on his farm, he breeds only the smallest 10% of them. He then breeds only the smallest 10% of their offspring, and continues to breed only the smallest 10% of each generation. Over 20 years, he observes that his group of dogs did become smaller (though not small enough to fit into a purse). Which line of support does he have that his dogs have evolved?.
A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.
The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.
Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.
In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.
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Whiskers the cat weighs kg. Piglio weighs 4 kg. Write a multiplication equation and a division equation for the question.
How many times as heavy as Piglio is Whiskers?
The ratio between the weights, giving how much Piglio is heavier than Whiskers, is given as follows:
1.5.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is obtained applying the proportion between these two amounts, that is, dividing a by b, as follows:
Ratio = a/b.
Which gives how many times greater the measure a is than the measure b, if the ratio is greater than 1.
The weight for each cat in this problem is given as follows:
Whiskers: 2 and 2/3 kg -> as a decimal 2 + 2/3 = 2 + 0.67 = 2.67 kg.Piglio: 4kg.The ratio between the weights of Piglio and Whiskers is given as follows:
Ratio = 4/2.67
Ratio = 1.5.
Meaning that Piglio is 1.5 times heavier than Whiskers.
Missing Information:Whisker's weight is given as follows: 2 and 2/3 kg.
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if you write this number in standard notation (or decimal notation), how many zeros would you include? 8.47 x 1012
In standard or decimal notation, the number 8.47 x 10^12 is written as 847 x 10^10. So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
To convert from scientific notation to standard notation, we move the decimal point to the right or left by the number of places specified by the exponent . The exponent tells us how many places the decimal point should be moved.
The number 8.47 x 10^12 is written in scientific notation. In scientific notation, a number is expressed as a product of a coefficient and a power of 10. The coefficient is 8.47 in this case, and the power of 10 is 12.
The power of 10 indicates the number of zeros that are included in the number. In this case, 10^12 means 10 multiplied by itself 12 times, which is equal to 10,000,000,000,000.
Therefore, the number 8.47 x 10^12 is equal to 8.47 x 10,000,000,000,000.
= 847 x 10^10
So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
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Is review
What decimal number is illustrated?
Answer:
28 blocks are filled in so I don't know how this a decimal... maybe it's .28
Step-by-step explanation:
The net below makes a square pyramid. Find its surface area.
57.84 is the answer, i hope
help plssssssssssssssss
Answer:
60
Step-by-step explanation:
dasdasdasdasdasdasdasdasdas.
Answer:
dodododododododo
Step-by-step explanation:
Answer:
Haha lol
Have a wonderful day!
Step-by-step explanation:
Remington Company purchased office equipment for use in the business with an invoice price of $28,000. The company paid $1,500 to have the equipment delivered and another $500 to have it installed. The company paid cash for the transportation and installation costs and signed a note for the invoice price of the new equipment.
Old Martha has 5 children, each of whom
has 4 children, each of whom has 3
children, each of whom is childless. How
many descendants does Old Martha have?
descendants
Answer:
130 descendants
Step-by-step explanation:
5
5x4=20
20x3=60
5+20+60=130
In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.
Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
- How far is Little Cubs Field from the radius of delivery?
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
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Help me
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If you do I will give you Ten RaMeN NoOdLe bOwLs at Ichiraku Ramen
Its the Best In The Hidden Leaf Village! Believe It!
(Answer All.. be Fast I might eat the noodles)
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22