The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
No more than 11
x + y ≤ 11
Total earning ≥ $56
7x + 4y ≥ 56
At least 3 gospels
y ≥ 3
Hence "The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3".
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I’m game shows 30% is taken from your prize earnings. How much would a game show give you in order to equal 1 hundred thousand, after taxes?
I already have the equation worked out-
100,000= Y- (30%xY)
You gotta find Y
Answer:
$142,857.14
Step-by-step explanation:
As per the question,
Y = prize money$100,000 is the money you get30% is deducted from YSolving for Y
Convert 30% to decimal formDivide 30% by 100%30%/100% = 0.3Now, solve the equation.100,000 = Y - 0.3Y100,000 = 0.7Y100,000 = 7Y/10Y = 1,000,000/7Y = $142,857.14x^3=216 solve for x^3
Answer: 6^3=216. / x=6
Factor out the GCF:
16n^2 + 10n
Answer:
2n(8n + 5)
Step-by-step explanation:
you need to see what you can take out of both the numbers.
ex they both have an 'n' and they both are divisible by 2
A 575kg car that accelerated at a rate of 25.5m/s2 went 250meters. How much force was needed for the car to be moved?
work was done on the car, the force we calculated was indeed sufficient to move it.
We can use Newton's second law of motion, which states that force is equal to mass times acceleration, to calculate the force needed to move the car.
The mass of the car is given as 575 kg, and the acceleration is given as 25.5 m/s^2. We can use these values to calculate the force needed:
force = mass x acceleration
force = 575 kg x 25.5 m/s^2
force = 14,662.5 Newtons (N)
So the force needed to move the car is approximately 14,662.5 N.
To verify that this force is sufficient to move the car, we can calculate the work done on the car using the distance it traveled. The work done on an object is equal to the force applied times the distance moved in the direction of the force. In this case, the force is the same as the one we just calculated, and the distance moved is given as 250 meters.
work = force x distance
work = 14,662.5 N x 250 m
work = 3,665,625 joules (J)
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I NEED HELP WITH THIS PROBLEM......
Answer:
son = 18 years old.
Step-by-step explanation:
Father to son = f/s = 7./3 Cross Multiply
3f = 7s
f + s = 60
f=60 - s
3(60-s)= 7s
180 - 3s = 7s
180 = 7s + 3s
180 = 10s
s = 180/10
s = 18
5 pounds of apples cost $7.45 dependent or independent ?
Answer:
9.8 x 7.45 = $73.01 ...
Step-by-step explanation:
g(x)=4x^2
what would be the table to graph?
Answer:
no you will not use a table
The answer is
g(x) = 4x
\(g{x} = 4x { \: }^{2} = 8x\)
Asap please
Need it for today
Answer:
Just use the tangent and plug in 68 into your calculator.
Step-by-step explanation:
The tangent defines the relationship between the 2 perpendicular legs of a right triangle.
Simplify the expression by combining like terms.
7r+3r-15s-10r+8s
Answer:
The answer is -7s
Step-by-step explanation:
Combine like terms
Hoped this helped!
Brainly, please?
The Nearly Normal condition is met in one of either of two ways: the sample size is large or...
a.the population (and sample) distribution are already normal distribtuions.
b.we know the standard deviation of the population.
c.if the units we are measuring can only be positive (e.g. weights of chickens).
d.the two samples are independent.
The correct answer is b. we know the standard deviation of the population.
The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.
When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.
While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.
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27 points if someone gets it right.
A bag has 4 oranges, 1 red rock, 2 green rocks, 6 white rock, and 5 black rocks. You randomly pull a rock out of the bag, put it back, then pull another one.
What is the probability of getting a white then a white? Write your answer as a fraction
Answer: 1/3
Step-by-step explanation:
How many triangles can be formed with segments measuring 1 2/3 mm, 1 3/4 mm, and 2 1/2 mm?
Select from the drop-down menu to correctly complete the statement.
Choose...
can be formed from these segments.
Answer:
One
Step-by-step explanation:
Took the test!
Answer:
ONE TRIANGLE
Step-by-step explanation:
TOOK TEST
a record’s ____ field is the field whose contents make the record unique among all records in a file.
A record's key field is the field whose contents make the record unique among all records in a file.
In computer science and database management, a record's key field, also known as a primary key, is a unique identifier that is used to distinguish one record from another in a database. A key field can be a single field or a combination of fields that uniquely identify a record.
For example, in a database of employee records, the social security number or employee ID number may be used as the key field to identify each employee record. This key field must be unique for each record in the database, and it is typically indexed to allow for faster searching and sorting of records.
The key field plays a crucial role in ensuring data integrity and consistency in a database. It is used to enforce data constraints and relationships between tables, and it is often used as a reference by other tables in a database.
In summary, a record's key field is an important component of a database that uniquely identifies each record and allows for efficient management and organization of data.
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What is the sum of {-3x}^{2}−3x
2
-7x+−7x+88 and {-5x}^{2}−5x
2
+6x-4+6x−4?
Find the slope of the line through the points (-3, 1) and (-1,5).
Answer:
See below.
Step-by-step explanation:
(-3,1) and (-1,5)
The formula for finding slope is (y²- y¹)/(x²- x¹).
(5-1)/(-1-(-3))
(4)/(2)
2
The slope would be 2.
-hope it helps
Hi! I hope you're enjoying your day!
Use the Slope formula:
\(\bold{\displaystyle\frac{y2-y1}{x2-x1}}\)
\(\bold{\displaystyle\frac{5-1}{-1-(-3)}}\)
\(\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}\)
Hence, the slope is
\(\boxed{\boxed{\bold{2}}}\)
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
\(\rule{250}{2}\)
a triangle is the shape used to represent the components of total health. rue or false
A triangle is a shape used to represent the components of total health. True
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001 rx) = sin(x), approximate f(0.7)
Answer:
herefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.
Step-by-step explanation:
We can use Taylor's theorem with the remainder in Lagrange form to estimate the error in approximating sin(x) with its Maclaurin polynomial:|Rn(x)| ≤ M * |x - a|^(n+1) / (n+1)!where:
Rn(x) is the remainder (the difference between the exact value of the function and its approximation using the Maclaurin polynomial)
M is an upper bound on the (n+1)st derivative of the function on the interval [0, x]
a is the center of the Maclaurin series (in this case, a = 0)
n is the degree of the Maclaurin polynomialSince sin(x) is continuous and differentiable for all x, we know that the Maclaurin series for sin(x) converges to sin(x) for all x. Therefore, we can use the Maclaurin series for sin(x) to approximate sin(0.7):sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...sin(0.7) ≈ 0.7 - 0.7^3/3! + 0.7^5/5!sin(0.7) ≈ 0.6442 (rounded to four decimal places)To find the degree of the Maclaurin polynomial required for the error in this approximation to be less than 0.001, we need to solve the following inequality for n:0.7^(n+1) / (n+1)! ≤ 0.001We can use a calculator or a table of values for factorials to solve this inequality. One possible method is to try different values of n until we find the smallest value that satisfies the inequality.Starting with n = 2, we get:0.7^3 / 3! ≈ 0.082This is not less than 0.001, so we try n = 3:0.7^4 / 4! ≈ 0.005This is less than 0.001, so we have found the degree of the Maclaurin polynomial required for the error to be less than 0.001:n = 3Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.
We need at least a degree 4 Maclaurin polynomial to approximate sin(x) at x = 0.7 with an error less than 0.001.
To determine the degree of the Maclaurin polynomial required for the error in the approximation of the function sin(x) at x = 0.7 to be less than 0.001, we need to consider the following:
1. The Maclaurin series for sin(x) is given by:
sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...
2. The error in a Maclaurin series approximation can be estimated using the remainder term formula:
|error| ≤ |(x^n+1)/(n+1)!|
3. Plug in the desired error and x value (0.001 and 0.7, respectively) to find the smallest n such that the error is less than 0.001:
|0.001| ≤ |(0.7^n+1)/(n+1)!|
4. Iterate through different values of n (starting with n = 0) until the inequality is satisfied. Remember that n must be an even number as sin(x) is an odd function.
After iterating through different values of n, you will find that the smallest even n that satisfies the inequality is 4. Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(0.7) to be less than 0.001 is 4.
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Show all steps/work...pick three from drop-down menu
Answer:
C, D, F
Step-by-step explanation:
Anything to the power of 0 is equal to 1
C because 1=1
D because 1 multiplied by itself is 1
F because, just like what I said, anything to the power of 0 is equal to 1
4(3x + 4) - 2x = 24
PLSS answer
Answer:
x = 4/5
Step-by-step explanation:
sorry if this isn't what you're looking for :/
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
Please help meeeeeeee
a bridge hand consists of 13 cards from a deck of 52. find the probability that a bridge hand includes exactly 4 aces and exactly 3 kings.
The probability that a bridge hand includes 4 acres and exactly 3 kings is 0.028%
To find the probability of getting exactly 4 aces and 3 kings in a bridge hand, we can use the following formula:
P(4 aces and 3 kings) = (number of ways to get 4 aces and 3 kings) / (number of ways to select 13 cards from a deck of 52)
To calculate the numerator, we can first find the number of ways to choose 4 aces from the 4 available in the deck, and then the number of ways to choose 3 kings from the 4 available in the deck. The remaining 6 cards can be any of the 44 non-ace, non-king cards. Therefore:
Number of ways to get 4 aces and 3 kings = (4 choose 4) x (4 choose 3) x (44 choose 6) = 1 x 4 x 44,380,776 = 177,523,104
To calculate the denominator, we can find the total number of ways to choose any 13 cards from the 52-card deck:
Number of ways to select 13 cards from a deck of 52 = (52 choose 13) = 635,013,559,600
Therefore, the probability of getting exactly 4 aces and 3 kings in a bridge hand is:
P(4 aces and 3 kings) = (number of ways to get 4 aces and 3 kings) / (number of ways to select 13 cards from a deck of 52) = 177,523,104 / 635,013,559,600 = 0.0002799 or approximately 0.028%.
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a dentist invested a portion of $15,000 in a 8% annual simple interest account and the remainder in a 6.5% annual simple interest government bond. the two
investments earn $1110 in interest annually. how much was invested in each account?
$9000 was invested at 8% annual simple interest account and $6000 was invested at 6.5% annual simple interest government bond.
Let x represent the amount invested at 8% annual interest rate then 15000 - x would represent the amount invested at 6.5% annual interest rate. A dentist invested a portion of $15,000 in a 8% annual simple interest account and the remainder in a 6.5% annual simple interest government bond.
The two investments earn $1110 in interest annually, how much was invested in each account?The formula to calculate simple interest is given by:I = Prtwhere, I is the simple interest, P is the principal amount, r is the annual interest rate and t is the time period in years.Let's solve the problem:Let x be the amount invested at 8% annual interest rateThen, the amount invested at 6.5% annual interest rate = $15000 - x.
"The interest earned by investing x at 8% annual simple interest account= x 0.08 1...[1]" "The interest earned by investing $15000 - x at 6.5% annual simple interest account= (15000 - x) 0.065 1...[2]" Thus, the total amount of interest that has been earned on both accounts is $1110. Therefore, we can write: Interest earned on an investment of 8% plus interest earned on an investment of 6.5% equals $1110.
From equation [1] and equation [2], we can write,x × 0.08 + (15000 - x) × 0.065 = 1110Simplifying the above equation:0.08x + 975 - 0.065x = 11100.015x = 1110 - 9750.015x = 135x = 9000Therefore, the amount invested at 8% interest rate = $9000The amount invested at 6.5% interest rate = $6000 (15000 - 9000)Hence, $9000 was invested at 8% annual simple interest account and $6000 was invested at 6.5% annual simple interest government bond.
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Can someone please help with this question.
Answer:
54cm³
Step-by-step explanation:
V=0.5*b*h
b = 3*9 = 27cm²
h=4cm
V=0.5*4*27=54cm³
The supermarket has 50 aisles. 70% are empty, without any shoppers. How many empty aisles are there in the supermarket?
Answer: 35 aisles
Step-by-step explanation:
There are 50 aisles.
70% of them are empty.
Total empty therefore is:
= 70% * 50
= 35 aisles
which number line represents the solution to the inequality
Please please please help me!
Answer: 37.68 feet.
Step-by-step explanation:
To find the diameter of a circle, use the equation:
C = 2 * pi * r, where r is the radius of the circle.
The diameter is 12 feet, and the radius is 6 feet.
C = 12 * pi
C = 37.68 feet.
Which fraction is equivalent to 4%? A. one over fifty B. two over twenty five C. one over twenty five
Answer:c
Step-by-step explanation:
4 % = 4/100
Simplify the fraction.
4/100 = 1/25
Fill in the Blank 1. 272 > 14
Answer:
19.4285714286 Step-by-step explanation: 272 divided by 14 can be calculated as follows. 272/14 math problems division
Evaluate: 5^-2 =
????
Answer:
1/25Step-by-step explanation:
5^-2=1/(5^2)=1/25