Answer:
$0.75 per bottle is the unit cost per bottle
What is the length of the line?
Choose 1 answer:
Answer:
we can't see a photo what you see
Step-by-step explanation:
3(p-7)=3p-21, name the property
Answer:
Distributive Property
Step-by-step explanation:
Answer: Distributive Property
Step-by-step explanation: 3 distributes through the parenthses,
so we have 3(p) - 3(7) which is just 3p - 21.
Can you tell me if this complementary, supplementary, or neither
Answer:
Neither
Step-by-step explanation:
Supplementary →A+B=180
Complementary → C+D=90
In this case, 50+120=170, not supplementary or complementary
Answer:
neither
Step-by-step explanation:
A data set has a maximum of 84, a minimum of 34, a median of 52. 5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set? The box will go from 44 to 64. A line dividing the box will be at 54. The left whisker will go from 34 to 52. 5. The right whisker will go from 44 to 84.
The statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
What is box plot representation of data?Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
The values of the data set is given as,
The data set has a maximum of 84, The minimum of 34, a median of 52. 5, The upper quartile of 64, and The lower quartile of 44.The statement is true of the box plot of this data set has to be find out.
In a box plot, the quartile is the limit of the box plot. The values can be go from the upper quartile to the lower quartile in a box plot.
Here, the upper quartile of the box plot is 64 and the lower quartile of box plot is 44. Thus, it can go only from 44 to 64.
Hence the statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.
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(3x +4y)2 is equal to
Answer: 6x + 8y
Hope this helps!
Answer:
9x² + 24xy + 16y²
Step-by-step explanation:
(3x + 4y)²
= (3x + 4y)(3x + 4y)
each term in the second factor is multiplied by each term in the first factor.
3x(3x + 4y) + 4y(3x + 4y) ← distribute both parenthesis
= 9x² + 12xy + 12xy + 16y² ← collect like terms
= 9x² + 24xy + 16y²
Eric builds a small pyramid for a school project. His pyramid has a height of twelve inches and a square base that measures ten inches on each side. Eric wants to find the smallest cube-shaped box to put his pyramid in so that he can safely bring it to school right side up. What is the volume of this box, in inches cubed
To find the volume of the smallest cube-shaped box that can contain the pyramid, we need to first determine the length of the smallest edge of the box. Since the base of the pyramid is a square, the smallest edge of the box will be the diagonal of the square base of the pyramid.
Using the Pythagorean theorem, we find that the diagonal is:√(10² + 10²) = √200 = 10√2 inches Thus, the length of each edge of the smallest cube-shaped box that can contain the pyramid will be 10√2 inches. The volume of a cube is given by the formula
V = s³, where s is the length of one of its edges. Therefore, the volume of the box will be:(10√2)³ = 1000√8 cubic inches To simplify this expression, we can use the fact that √8 = √(4 · 2) = 2√2. Thus, the volume of the box is:1000√8 = 1000 · 2√2 = 2000√2 cubic inches Therefore, the volume of the smallest cube-shaped box that can contain Eric's pyramid is 2000√2 cubic inches, or approximately 2827.43 cubic inches to two decimal places.
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A 1.19-kilogram container of cereal contains 30 servings. How many grams approximately are in each serving
Each serving of cereal in a 1.19-kilogram container contains approximately 39.67 grams.
The question here asks for an approximation of the number of grams in each serving of a 1.19-kilogram container of cereal that contains 30 servings.
In order to find the weight of each serving, one must divide the total weight of the container by the total number of servings.
The total number of grams in the container of cereal can be found by converting the weight from kilograms to grams:1.19 kilograms = 1190 grams
To find the weight of each serving, one must divide the total number of grams in the container by the number of servings:
1190 grams ÷ 30 servings = 39.67 grams (approximately)
Therefore, each serving of cereal in a 1.19-kilogram container contains approximately 39.67 grams.
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Wendy has a $30 to spend at the store. She wants to buy 5 pairs of socks for $1.99 each and a scarf for $20.49, including tax. She uses rounding to estimate the cost: . Wendy says she has enough money to cover the price of everything. Is she correct? Explain.
Answer:
Wendy does not have enough of money to cover the price of everything
Step-by-step explanation:
If Wendy has $30 and wants to but 5 pairs of socks that cost $1.99($2.00) each and a scarf for $20.49, she wouldn't have enough of money because the 5 pairs of socks would be $10 and if you subtract that from $30, she would only have $20 dollars left, so she wouldn't have enough money to pay for the socks and scarf, which also means she would only have to pick one of the two items she wants, either she pays for the socks, or she pays for the scarf, but she can't pay for both.
-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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What is the perimeter of the triangle with the points A (-2, 3) B (3, -3) and C (-2, -3)
Answer:
I believe the answer would be 14
Step-by-step explanation:
If you graph it, obviously it is a triangle, and so one of the sides have 6 units, one side has 5, and then the last side has halves so if you count each of those as half you would get 3, I think.
A gas occupies 4.23 l at 2.25 atm. What is the volume at 3.46 atm?
a. 1.84 l
b. 2.75 l
c. 6.50 l
d. 32.9 l
e. 0.364 l
A gas occupies 4.23 l at 2.25 atm. 2.75 L is the volume at 3.46 atm. This can be solved using the concept of Boyle's law.
What is Boyle's law?Boyle's law gives the relationship between pressure and volume of gas.
It states that at constant temperature pressure in inversely proportional to volume.
PV = k
where P - pressure V - volume and k - constant
P₁V₁ = P₂V₂
Given that,
initial pressure (P₁) = 2.25 atm
final pressure (P₂) = 3.46 atm
initial volume (V₁) = 4.23 L
final volume (V₂) = ?
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation
substituting the values in the equation
2.25 atm x 4.23 L = 3.46 atm x V
V = 2.75 L
Thus, the final volume is 2.75 L
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if the day after tomorrow is two days before thursday then what day is it today? friday monday wednesday saturday tuesday sunday
Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday
We have,
The day after tomorrow is two days before Thursday.
Since, tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.
Hence, Today is Saturday.
Therefore, Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.
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Here are some numbers
10 13 15 20 27 30
10 15 20 is tan arithmetic progression
Use three if the numbers to make a different arithmetic progression
Describe the rule.
Answer:
15, 27, 39
a[n] = a[n-1] +12; a[1] = 15
Step-by-step explanation:
The terms of an arithmetic progression have a common difference.
There are numbers in the given list that have differences of 5, 7, 12. The numbers with differences of 5 have already been listed. Other possible sequences are ...
13, 20, 27 . . . . common difference of 7
15, 27, 39 . . . . common difference of 12
The rule for the latter sequence is "each term is 12 more than the last" and the first term is 15.
5. P(B | A) = P(A and B).
True or False?
False, The formula for conditional probability is P(B | A) = P(A and B) / P(A), not P(B | A) = P(A and B).
The formula for conditional probability is used to calculate the probability of event B occurring given that event A has already occurred. It is given by:
P(B | A) = P(A and B) / P(A)
To calculate conditional probability, first, find the probability of A and B occurring together (P(A and B)), and the probability of event A occurring (P(A)). Then, divide the probability of A and B occurring together by the probability of A occurring.
For example, if the probability of event A is 0.6 and the probability of event B given that A has occurred is 0.3, we can calculate the conditional probability of B given A as follows:
P(B | A) = P(A and B) / P(A)
P(B | A) = 0.3 / 0.6
P(B | A) = 0.5
Therefore, the probability of event B occurring given that event A has already occurred is 0.5.
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In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter.
The area of the triangle to the nearest tenth is 5.8cm²
What is area of a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Examples of triangle include, isosceles, equilateral , scalene e.t.c
The area of a triangle is expressed as;
A = 1/2 b h for right angle triangle and A = absinC for others.
Here; x = 4.7, y = 7.9, W = 162
area = 1/2× 4.7 × 7.9 sin162
= 1/2 × 4.7 × 7.9 × 0.31
= 5.8 cm²( nearest tenth)
Therefore the area of the triangle is 5.8cm²
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If f(x) = 3x^2 – x + 3, then what is the remainder when f(x) is divided by
x + 7?
Answer:
the remainder is -52
Step-by-step explanation:
3x²-x + 3
x+7÷ 3x² - x +3
the remainder is -52
A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?
Answer:
$9
Step-by-step explanation:
what can you say about the liquidity premium whom the shield ourve le inverted. a) always negative b) always positive c) depends on the benchmark interost ratos d) none of them
The correct answer is (c) depending on the benchmark interest rates. The liquidity premium can be positive or negative, depending on market conditions and the risk associated with specific securities.
It seems like there are some typos in your question, but I believe you're asking about the liquidity premium when the yield curve is inverted. In this context, I'll include the terms "ratio," "liquidity, and "negative" in my answer.
The liquidity premium is the additional return that investors demand by holding securities with lower liquidity or higher risk. When the yield curve is inverted, it generally indicates that short-term interest rates are higher than long-term interest rates. This can be a result of higher demand for long-term bonds, which drives their prices up and yields down.
In such a situation, the liquidity premium is:
a) not always negative, because an inverted yield curve doesn't necessarily mean that the liquidity of the market is negatively impacted. The ratio of liquid to illiquid assets can still be favorable even when the yield curve inverts.
b) not always positive, as the premium depends on the overall market conditions and risk factors associated with specific securities.
c) It depends on the benchmark interest rates, which are a key determinant of the yield curve shape. When benchmark interest rates change, the yield curve can either steepen, flatten, or invert, affecting the liquidity premium accordingly.
So the correct answer is (c) depending on the benchmark interest rates. The liquidity premium can be positive or negative, depending on market conditions and the risk associated with specific securities.
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write an explicit rule for the sequence
Is a 1/4 tablespoon less than a 1/2 teaspoon?
Answer:
No
Step-by-step explanation:
A tablespoon is equal to 3 teaspoons. A half tablespoon is, therefore, equal to 1 1/2 teaspoons.
I hope this helps! Please give me brainlest!
suppose a large shipment of laser printers contained 14% defectives. if a sample of size 411 is selected, what is the probability that the sample proportion will differ from the population proportion by greater than 4%? round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
µ = p
The standard deviation of this sampling distribution of sample proportion is:
σ = √p(1-p)/n
The information provided is:
p = 0.14
n = 41
As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.
Compute the values of P(p^ - p >0.04) as follows:
P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411
= P(Z>2.33)
= 0.990
Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990
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a restaurant offers the following limited lunch menu. main courses: turkey, spaghetti, meatloaf, shrimp, hamburger vegetables: peas, squash, cauliflower, eggplant beverages: coffee, tea, milk, soda, shakes desserts: sundaes, mousse, pie, brownies if one item is selected from each of the four groups, in how many ways can a meal be ordered? there are ways a meal can be ordered
800 ways meal be ordered.
There are 5 main courses to choose from, so there are 5 ways to choose a main course. There are 4 vegetables to choose from, so there are 4 ways to choose a vegetable. There are 5 beverages to choose from, so there are 5 ways to choose a beverage. And there are 4 desserts to choose from, so there are 4 ways to choose a dessert.
The total number of ways to order a meal is the product of the number of choices for each category.
So there are 5 * 4 * 5 * 4 = 800 ways to order a meal.
Hence, 800 ways meal be ordered.
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Triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). If the triangle is translated using the rule (x, y) → (x − 2, y + 1), what are the coordinates of Y'?
Y'(–5, 5)
Y'(0, 5)
Y'(–5, 2)
Y'(–1, 3)
Answer:
Y'(-5, 5)
Step-by-step explanation:
To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).
Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:
x' = x - 2 = -3 - 2 = -5
y' = y + 1 = 4 + 1 = 5
Therefore, the coordinates of Y' are (-5, 5).
intergrate x×(x²-3)³
Answer: \(\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}\)
Step-by-step explanation:
\(\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c\)
saitama needs to buy 65 inches length of fabric to use in making a cape for his hero costume he knows that the cost of the fabrics that he is going to use is 7.00 centimeter how much will he need to buy it
Answer:
he'll need $1155.70
Step-by-step explanation:
there are 165.1 centimeters in 65 inches, since 1 centimeter of fabric is $7.00, 7.00 times 165.1 is 1155.7, add a zero to the end of the solution and his total will be $1,155.70
Answer:
$1155.70
Step-by-step explanation:
Saitama won’t be able to afford that he is the poorest hero in his verse, he can only afford this with the help of genos
What is the minimum hot-holding temperature for fried shrimp? a. 105 ° F41 ° C b. 115 ° F46 ° C c. 125 ° F52 ° C d. 135 ° F 57 ° C
The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.
The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.
At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.
It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.
Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.
By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.
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Let a and b be positive integers such that the product of all positive divisors of a equals the product of all positive divisors of b. Prove that a
The property A*B = (A' + A") * ( B'+B") is equal to each other.
According to the statement
We have given that the a and b is the positive integers and we have to prove that the product of all positive divisors of a equals the product of all positive divisors of b.
And in this statement
Now we use Distributive property
Here A and B is the positive integer and
A' and A" are the divisors of A and B' and B" are the divisors of B.
Now,
A = A' + A" and B = B'+B"
Now, Multiply both with each other then
A*B = (A' + A") * ( B'+B")
then
A*B = (A' B'+ A'B") + ( A"B'+A'B")
by this way it is equal to each other
Hence proved.
So, The property A*B = (A' + A") * ( B'+B") is equal to each other.
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there were twice as many four-door cars as two-door cars in the parking lot. there were 36 cars in the lot. how many had four doors? how many had two doors?
the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
We are given that the number of four door cars in a parking lot is equal to twice the two door cars.
Let the two door cars be x
Four door cars = 2 x
Also, we are given that total cars = 36
So, we get the equation:
x + 2 x = 36
3 x = 36
x = 36 / 3
x = 12
Two door cars = x = 12
Four door cars = 2 x = 2 ( 12) = 24
Therefore, we get that, the number of two door cars in the parking lot is 12 and the number of four door cars in the parking lot are 24.
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I have two questions:
What number should be removed from the list {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} so that the average of the remaining numbers is 6.1?
and:
Isabella must take four 100-point tests in her math class. Her goal is to achieve an average grade of at least 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on the third test, she realized that she could still reach her goal. What is the lowest possible score she could have made on the third test?
If you answer, that would be very much appreciated!
Answer:
You remove 5
Step-by-step explanation:
I can answer your first question
you have 11 numbers and need to remove 1 which makes the amount of numbers you use 10 so if you work backwards:
lets say x is the 10 numbers added up and you have to divide them by 10 to get 6.1 so we get
x/10 = 6.1 which equals x=61 so the 10 numbers added up equal up to 61.
With a bit of trial and error you get 1 + 2+3+4+6+7+8+9+10+11 =61 so you remove 5 !
Hope it helped you
Answer:
Remove 5 and 92
Step-by-step explanation:
The first question:
you have 11 numbers and need to remove 1 which makes the amount of numbers you use 10, since you have to remove one so you work backwards. If n is the 10 numbers added up and you have to divide them by 10 to get 6.1 so we get which is the mean n/10 = 6.1 which equals n=61 so the 10 numbers added up equal up to 61. The total of all 11 numbers is 66. So 66-61=5. You remove 5
Second Question:
She is taking 4 tests. She wants to average a 95 on those tests. So, she must score 95*4=380 total. She scored 97 and 91, or 188 total. So, she must score 380-188 = 192 total on her next two tests. Her maximum score possible on the fourth test is 100. In Conclusion, the lowest score possible for the third test would be 192-100=92
Select all of the following true statements if r=real numbers, n= natural numbers, and w={0, 1, 2,...}.
Answer:
Step-by-step explanation:
choices:
W c Z
R c W
0 E Z
∅ c R
{0, 1, 2, ...} c_ W
-2 E W