An equation which can represent a baby manatee's growth include the following: B. x + 4 ≤ 13.
The variable x represent the baby manatee's growth after birth.
How to write and solve the required inequality?In order to write and solve an inequality that represents a baby manatee's growth, we would take note of the following important information;
The maximum length is equal to 13 feet.Baby manatees are typically about 4 feet long at birth.Let the variable x represent the baby manatee's growth after birth.Now, we can write an inequality that represents the value of x for which a baby manatee's growth as follows;
x + 4 ≤ 13
By subtracting 4 from both sides of the inequality, we have the following:
x + 4 - 4 ≤ 13 - 4
x ≤ 11
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If a bottle holding 3 L of milk contains 2 1/2% butterfat how much skin milk must be added to dilute the milk to 2% butterfat
Answer:
You do not need to add any skim milk.
Step-by-step explanation:
Step-by-step explanation:
percentages are represented by hundredths in calculations.
2 1/2% = 2.5% = 0.025
2% = 0.02
we are mixing the 3 L 2.5% milk with x L of 0% milk.
and we are ending up with (3 + x) L of 2% milk.
so, we have
3×0.025 + x×0 = (3 + x)×0.02 = 3×0.02 + 0.02x
3×0.005 = 0.02x
0.015 = 0.02x
x = 0.015/0.02 = 0.75
so, 0.75 L have to be added to dilute the milk to 2%.
4
MP.1 Make Sense and Persevere Alicia
measured 1/4 yard of the Blue Diamonds fabric and5/6
yard of the Yellow Bonnets fabric to make a quilt.
Rename each length of fabric. Use the number of
inches in a yard as a common denominator.
HINT: 1 yard = 3 feet; 1 foot = 12 inches
Alicia made a quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.
Describe the length.The end-to-end measurement or size is called the length. In other words, the larger of the two or three dimensions of a geometric shape or object. For example, the length and width of a rectangle define its dimensions. In the international size system, length is also a dimensional distance quantity.
Blue Diamond fabric is 1/4" x 36" or 9" quarter yards.
5/6 yards of yellow bonnet fabric equals 5/6 x 36 inches or 30 inches.
Alicia made the quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.
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Simplify 3y-(2y-3)÷4
The solution to the algebraic expression 3y - (2y - 3) ÷ 4 is; (10y + 3)/4
How to simplify algebraic expressions?The algebraic expression is given as;
3y - (2y - 3) ÷ 4
With the aid of order of operations named PEMDAS which is an acronym for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction. Thus, we can rewrite the expression as;
3y - (2y - 3)/4
The common denominator is 4 and when we distribute we will have;
(4(3y) - 2y + 3)/4
= (12y - 2y + 3)/4
= (10y + 3)/4
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admission to the movies is x dollars, and a bag of popcorn costs $4. write an expression to represent total cost for two people to go to the movies three times and sharing a bag of popcorn each time.
Answer: The total cost for two people to go to the movies three times is 3x2 = 6x dollars.
The cost of a bag of popcorn is $4 and they share one bag of popcorn each time they go to the movie, so the total cost of popcorn is 4*3 = $12 dollars.
So the total cost for two people to go to the movies three times and sharing a bag of popcorn each time is 6x + $12
So an expression to represent the total cost for two people to go to the movies three times and sharing a bag of popcorn each time is 6x + $12.
Step-by-step explanation:
Find all non-empty finite sets of integers A and B with the following properties:
i) whenever x is in A, x+1 is in B
ii) whenever x is in B, x^2-4 is in A
Hence, find all positive integers a and b such that there are non-empty finite sets A and B with the property that whenever x is in A, x+a is in B, and whenever x is in B, X^2-b is in A.
Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinality (or the cardinal number) of a set. Let us take an example:
A = {1, 2, 3, 4, 5 }
Since a set is usually represented by the capital letter. Thus, A is the set and 1, 2, 3, 4, 5 are the elements of the set or members of the set. The elements that are written in the set can be in any order but cannot be repeated. All the set elements are represented in small letter in case of alphabets. Also, we can write it as 1 ∈ A, 2 ∈ A etc. The cardinal number of the set is 5. Some commonly used sets are as follows:
N: Set of all natural numbers
Z: Set of all integers
Q: Set of all rational numbers
R: Set of all real numbers
Z+: Set of all positive integers
A non empty is a set that has one or more elements.A “set” is just a well-defined collection of distinct objects, and their union—the set—is an object itself. A set can contain anywhere from 0 to an infinite number of items.
Finite sets are sets having a finite/countable number of members. Finite sets are also known as countable sets, as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members
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PLS HELP Solve for x
In the equation [tex](1/4)^{x-2} = 16[/tex], The value of the exponent x is 0.
What is an exponent?A number's exponent tells you how long you will need to multiply it in order to get the result. For instance, because 8 is multiplied by itself 3 times, 8 8 8 can be written as 83.
Here, 3 is the "exponent" or "power," which indicates how many times the number 8 is multiplied by itself, and 8 is the "base," which stands for the number being multiplied.
The number of times a number must be multiplied by itself is what a power or exponent, in essence, indicates. The base in this situation can be any integer, fraction, or decimal. Any value, positive or negative, can be assigned to the exponent.
Given
[tex](1/4)^{x-2} = 16[/tex]
[tex](1/4^{x-2}) = 16[/tex]
1 = 16 × [tex]4^{x-2}[/tex]
1 = 16 × [tex](2^2)^{x-2}[/tex]
[tex]$1 = 16 \times \frac{ 2^{2x}}{2^4}[/tex]
[tex]$1 = \frac{ 16 \times2^{2x}}{2^4}[/tex]
[tex]$1 = \frac{ 16 \times2^{2x}}{16}[/tex]
[tex]$1 = 2^{2x}[/tex]
1 = 2²⁽⁰⁾ The only possible exponent that values in 1 is when exponent is 0
1 = 1
x = 0
Thus, In the equation [tex](1/4)^{x-2} = 16[/tex], The value of the exponent x is 0.
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A box contains only orange truffles, strawberry truffles and caramel truffles. The ratio of orange truffles to strawberry truffles is 3:4.
Gwyneth picks a truffle at random from the box. The probability that it is an orange truffle is
13/3
What is the probability that it is a caramel truffle?
Give your answer as a fraction in its simplest form.
The probability that it is a caramel truffle is 6/13.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A box contains only orange truffles, strawberry truffles, and caramel truffles and the ratio of orange truffles to strawberry truffles is 3 : 4.
Also given, The probability that it is an orange truffle P(O) is 3/13,
Hence The probability that it is a strawberry truffle P(S) = 4/13.
Therefore, The probability that it is a caramel truffle P(C) is = 1 - 3/13 + 4/13.
= 1 - 7/13.
= 6/16.
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the quotient of 9(7y - 15) and 110 - 6y ÷ 4
y = 7
The quotient of the expression,
9(7y - 15) / (110 - 6y ÷ 4) is 18(7y - 15) / (55 - y).
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
We have an expression,
9(7y - 15) / (110 - 6y ÷ 4)
Simplifying,
9(7y - 15) / (110 - 6y ÷ 4),
= 9(7y - 15) x 4 / (110 - 6y)
= 36(7y - 15) / (110 - 6y)
= 18(7y - 15) / (55 - y)
Therefore, the quotient is 18(7y - 15) / (55 - y).
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A factory received a shipment of 48 generators, and the vendor who sold the items knows there are 8 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment.
For each of the following, give your responses as reduced fractions.
If a sample of 8 generators is selected, find the probability that all in the sample are defective.
If a sample of 8 generators is selected, find the probability that none in the sample are defective.
Answer: The probability that all generators in a sample of 8 are defective can be calculated by finding the number of ways that 8 defective generators can be selected out of 48 total generators, divided by the total number of ways that any 8 generators can be selected out of 48 total generators.
The number of ways to select 8 defective generators out of 48 total generators is:
C(8,8)*C(40,0) = 1
The total number of ways to select 8 generators out of 48 total generators is:
C(48,8) = 1,907,725
The probability that all generators in a sample of 8 are defective is:
1/1,907,725
If a sample of 8 generators is selected, find the probability that none in the sample are defective.
The number of ways to select 8 non-defective generators out of 48 total generators is:
C(40,8) = 45,765
The total number of ways to select 8 generators out of 48 total generators is:
C(48,8) = 1,907,725
The probability that none in the sample are defective is:
45,765/1,907,725
Both of these are reduced fraction.
Need help asap, please don’t ignore :(
Answer:c
Step-by-step explanation:
The slope forms a uniform solution in each square box as shown in the drawing
here, s is the value or answer.
SOLUTION -
[tex] \frac{1}{2} = \frac{3}{6} \\ 1 \\ \frac{1}{2} = \frac{1}{2} \\ = \frac{1}{m } = \frac{1}{2} \\ m = 2[/tex]
ANSWER - 2Which are which help asap..
Answer:
H = 20
Step-by-step explanation:
Looks like you got everything correct. Nice!
For your last one, let's get H by itself. Since 1/2 is division, let's multiple it by 2 to turn it into one. Because you multiply by 2 on the left side, you have to on the right side also...
(1/2)(2) = 1
(1)(h) = h
On the other side, 10(2) = 20.
Combining the 2, H = 20
what is property
if VW+WY=ZY, and VW + WY=XZ, then XZ=ZY
The property if VW+WY=ZY, and VW + WY=XZ, then XZ=ZY is referred to as a transitive property.
What is a Transitive property?This states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”.
A good example of its application can be seen here which is if x = y, and y = 7, then x must equal 7 which when observed in what was given above corresponds with this type of property and is therefore the reason why it was chosen as the correct choice.
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each of the following situations, determine whether or not the given random variabas a binomial or geometric distribution. then, find the probability
The probability of 5 heads in 10 flips.
A coin is flipped 10 times and we want to find the probability of getting exactly 5 heads.
This situation is a binomial distribution because it involves a fixed number of trials (10) and each trial has a fixed probability of success (1/2). . The probability of obtaining exactly 6 successes in 10 trials is given by the formula P(x) = nCx * px * (1-p)n-x. In this situation, the probability is P(x) = 10C6 * 0.26 * 0.84 = 0.17496. The probability of getting exactly 5 heads can be calculated using the formula P(X=5) = 10C5 * 0.5^5 * 0.5^5 = 0.246. This is the probability of 5 heads in 10 flips.
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Complete question:What is the probability of getting 5 heads when you toss a fair coin 10 times?
55oz to ____ lb ____ o
1) Identify the quadrant in which the point belongs. (-17,-87)
Answer:
It belongs in quadrant 3.
help pls A rational expression has been simplified below.
(x-2)(x+6)/7(x+6) = x-2/7
For what values of x are the two expressions equal?
O A. All real numbers except 2
OB. All real numbers
O C. All real numbers except -6
O D. All real numbers except -6 and 2
The values of x if the two expressions equal are all real numbers.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given expression ,
(x-2) (x+6) / 7 (x+6) = x-2/ 7
So, in LHS x+6 can be cancelled
and we get,
=x-2/ 7
which is same as the RHS from the given expression .
So, As the both LHS and RHS are equal , if put any value Both remains same
Hence, The values of x if the two expressions equal are all real numbers.
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In the linear equation 4x-3y=6, the slope of the line is
which of the following properties is true for all normal density curves? 1.) they are symmetric 2.) the curve reaches its peak at the mean 3.) 95% of the area under the curve is within one standard deviation of the mean.
All normal density curves are symmetric and have a peak at the mean. 68% of the area under the curve is within one standard deviation of the mean and 95% of the area under the curve is within two standard deviations of the mean.
All normal density curves are symmetric. This means that the curve looks the same to the right and left of the mean (μ). The curve reaches its peak at the mean, which is the highest point on the curve. The area under the curve is equal to 1. The area under the curve that is within one standard deviation (σ) of the mean is equal to 0.68. This means that 68% of the area under the curve is within one standard deviation of the mean and 95% of the area under the curve is within two standard deviations of the mean.
The formula for calculating the area under the curve within one standard deviation of the mean is:
Area = 0.68 * 1
The formula for calculating the area under the curve within two standard deviations of the mean is:
Area = 0.95 * 1
These formulas can be used to calculate the area under the curve for any normal density curve.
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y-1=x
Slope intercept for m
Answer:
Slope intercept form = y=mx+b
So
y-1=x
Add 1 to both sides
y=x+1
PLEASE HELP The flight of Jae and Miguel's rocket t seconds after launch is modeled by
h(t) = -5t² + 40t + 1, where h(t) is their rocket's height in meters.
What was their rocket's height in meters 0.5 seconds after launch? How many sec after launch did their rocket hit the ground? What was their rockets maximum height in meters??
The rocket was at a height of 19.75 meters after 0.5 seconds
The rocket hit the ground after 8.02 seconds
The maximum height is 81 m.
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
The height (h) of the rocket t seconds after launch is modeled by:
h(t) = -5t² + 40t + 1
a) After 0.5 seconds:
h(0.5) = -5(0.5)² + 40(0.5) + 1 = 19.75 meters
b) The rocket hit the ground when h(t) = 0, hence:
-5t² + 40t + 1 = 0
t = 8.02 s
c) The maximum height is at h'(t) = 0
h'(t) = -10t + 40
-10t + 40 = 0
10t = 40
t = 4 s
h(4) = -5(4)² + 40(4) + 1 = 81 meter
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Water flows at a steady rate from a tap.
It takes 40 seconds to fill a 4 litre watering can from the tap
The rate at which the water is now flowing from the tap is 50 cubic centimeters per second.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Given that,
Time taken to fill the watering can of 4 liter = 40 seconds.
4 liter = 4000 cm³
Time taken to fill the watering can of 4000 cm³ = 40 seconds
Unit rate of flow of water = 4000 / 40 = 100 cm³ / sec
Now the rate at which water flows is halved.
Rate = 100 / 2 = 50 cm³ / sec
Hence the rate of the flow of water now is 50 cubic centimeters per second.
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The complete question is as follow :
Water flows at a steady rate from a tap it takes 40 seconds to fill a 4 liter watering can from the tap. The rate at which water flows is halved.
4litre=4000cm³
Find the rate at which the water is now flowing from the tap. Give your answer in cubic centimeters per second (cm³/s).
NO SPAM OR LINKS!!! WILL MARK BRAINLEST
Review the Monthly Principal & Interest Factor chart to answer the question:
FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730-749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27
Calculate the monthly payment, for a 15-year term mortgage, after a 15% down payment on a $315,200.00 purchase price, for a household with a 711 credit score. (2 points)
$1,776.29
$1,984.39
$2,173.56
$2,408.60
Answer: c
Step-by-step explanation:
taking into accoutn rules of precendent which of the following parathesized expressions is equivalent
Legal precedent means that a decision on a definite principle or question of law has already been made by a court of higher authority, such as a call or supreme court. below such a decision, lower courts defer to, or adhere to, that prior decision in similar cases.
The commitment of lower courts may be used as precedent for courts of similar jurisdiction, but higher courts are not bound by the resolution of lower courts.
The use of legal precedent helps secure court rulings remain consistent among similar cases. To this end, courts are bound to cling to prior decisions made by a higher court on a same legal matter.
Because a judge is bound by these previously made decisions, this is mentioned to as binding precedent. anew, following the principle of glare decisis, binding precedent promotes the maintenance of answers to legal questions already established.
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Find the length of the midsegment of the trapezoid with the vertices A(0,3) ,B(2 , 5) ,C(6,4) ,D(2,0)
The length of the midsegment of the trapezoid with the vertices A(0,3) ,B(2 , 5) ,C(6,4) ,D(2,0) is; 3√2
How to find the distance between two coordinates?The length of the mid-segment of a trapezoid is half the sum of the lengths of the two parallel sides, AB and CD. T
The vertices are;
A(0,3) ,B(2 , 5) ,C(6,4) ,D(2,0)
Thus;
Length of sides AB and CD
length = √(x₂ - x₁)² + (y₂ - y₁)²
AB =√(2 - 0)² + (5 - 3)²
AB = 2√2
length = √(x₂ - x₁)² + (y₂ - y₁)²
CD = √(2 - 6)² + (0 - 4)²
CD = 4√2
Formula to use for the mid segment is;
Mid segment = (AB + CD)/2
= (2√2 + 4√2) / 2
= 3√2
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Carter has 10 fewer marbles than April. Nicholas has 3 times as many marbles as April. If April has m marbles, which expression BEST represents how many marbles Carter and Nicholas have altogether?
Which one of these?
4m-10 is the expression represents the number of marbles Carter and Nicholas have altogether.
What is Expression?An expression is combination of variables, numbers and operators.
Let m be the number of marbles.
The number of marbles April has be m.
Given that Carter has 10 fewer marbles than April.
If Carter has 10 less than m, that's m - 10.
Nicholas has 3 times as many marbles as April.
3m
marbles Carter and Nicholas have altogether
m-10+3m
4m-10
Hence, 4m-10 is the expression represents the number of marbles Carter and Nicholas have altogether.
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10
Solve for x.
8
6
X
will give brainliest!!!
Answer:
7.5
Step-by-step explanation:
Since the segments are parallel, the side segment lengths are proportional.
8/10 = 6/x
4/5 = 6/x
4x = 30
x = 7.5
the kappa iota sigma fraternity polled its members on the weekend party theme. the vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. display the vote count in a pareto chart.
Pareto chart is a type of bar graph which often displays the data in descending order of frequency.
It is made up of vertical bars, with the height of each bar representing the frequency of occurrence for each category. The chart is named after Vilfredo Pareto, who used it to analyze economic data in the late 19th century.
For the given data, we calculate the cumulative frequency of the data by adding the frequencies of each category.
Toga: 6
Hayride: 6 + 4 = 10
Beer Bash: 10 + 8 = 18
Masquerade: 18 + 2 = 20
The Pareto chart is created by plotting the cumulative frequency against the categories. The chart is plotted with the categories on the x-axis and the cumulative frequency on the y-axis.
Toga: 6 (30%)
Hayride: 10 (50%)
Beer Bash: 18 (90%)
Masquerade: 20 (100%)
Hence, the Pareto chart for the given data is as follows:
Toga: 30%
Hayride: 20%
Beer Bash: 40%
Masquerade: 10%
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help this is the only question i have left help bsf help
Convert 0.622 0.622 to a fraction in simplest form and a percent.
Answer: 311/500 and 62.22%
Step-by-step explanation:
Fraction: 0.622 = 622/1000 = 311/500
Percent: 0.6222 = 62.22 % (Move decimal 2 places down)
The decimal 0.622 in the form of simplest fraction as 311/500 and in percent is 62.2%.
To convert 0.622 to a fraction in simplest form, write it as follows:
0.622 = 622/1000
Now, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
622/1000 = (311 × 2)/(500 × 2)
= 311/500
So, 0.622, when expressed as a fraction in simplest form, is 311/500.
To convert 0.622 to a percent, multiply it by 100:
0.622 × 100 = 62.2%
Therefore, 0.622 is equivalent to 311/500 or 62.2%.
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True or False: The purchase cost of fixtures can become tax-deductible.
The purchase cost of fixtures can become tax deductible is referred to as a true statement.
What is Taxation?This is referred to as the imposition of compulsory levies on individuals or entities by governments in other to fund government spending and various public expenditures.
Office fixtures such as furniture would typically be considered a long-term asset because it isn't typically replaced on a yearly basis which is why they are not deductible from a business's taxable income. However in a scenario where the fixtures start going through the process of depreciation, amortization or depletion then it becomes tax deductible.
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