Answer:
17. (2/5)
19. (-7/3)
21. (2/3)
Step-by-step explanation:
17.
5 5 1
- -------n + ------n = - ------
2 4 2
5 (2) 5 1 (2)
- -------n + ------n = - ------
2 (2) 4 2 (2)
10 5 2
- -------n + ------n = - ------
4 4 4
10 5 2
(- -------n + ------n = - ------) (4)
4 4 4
-10n + 5n = -2
-5n = -2
÷ -5 ÷-5
n = (2/5)
----------------------------------------------------------------------------------------------------------
19.
3 15 21
-------n - -------n = -------
2 4 4
3 (2) 15 21
-------n - -------n = -------
2 (2) 4 4
6 15 21
(-------n - -------n = -------) (4)
4 4 4
6n - 15n = 21
-9n = 21
÷-9 ÷-9
n = (-7/3)
----------------------------------------------------------------------------------------------------------
21.
1 5
- -------n - n = - -------
4 6
1 (3) 5 (2)
- -------n - n = - -------
4 (3) 6 (2)
3 10
- -------n - n = - -------
12 12
3 10
(- -------n - n = - -------) (12)
12 12
-3n - 12n = -10
--15n = -10
÷-15 ÷-15
n = (2/3)
----------------------------------------------------------------------------------------------------------
I hope this helps!
ASAP ASAP PLS ASAP Asapppppp
Tell Me if I'm Wrong But I Believe It's 198m3
Two cyclists start at the same time from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and the second cyclist is riding at 16 mph. How long after they begin will they meet
If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.
Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.
We know that speed is the distance covered by an object in a particular period of time.
Speed=distance/time.
It is expressed as kilometers per hour or miles per hour, etc.
If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.
Distance=45 miles.
Time =distance/speed
=45/30
=1.5
Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.
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Write an equation of the graph shown in terms of cosine:
Answer:
Step-by-step explanation:
A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:
y = A * cos(B * x) + C * sin(D * x)
In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.
If you multiply the age
of ann with 3 and
If you multiply
multiply the age
Subtract 1 from the result, you get the age
of her father. If you multiply the age of Ann
in 12 years with 2 and Subtract one from the
result you get the age of her father in 12 years,
How old is Ann now?
according to a study done by the pew research center, 39% of adult americans believe that marriage is now obsolete. what is the probability that in a random sample of 500 adult americans less than 42% believe marriage is obsolete?
The probability that less than 42% believe marriage is obsolete is 0.908
Defining Binomial probabilityUsing the parameters given :
number of samples , n = 500x = 42% of 500 = 210probability of success, p = 0.39q = 1 - p = 0.61Using the Binomial probability relation :
\(p(x = x ) = nCx * p^{x} \times q^{n - x} \)p(x < 210 ) =P(x = 0) + P(x = 1) + ...+ P(x = 209)
We need to compute the probability value of x = 0 to x = 209 and take the sum
Using a binomial probability calculator to save time and avoid computation error :
P(x < 210) = 0+0+0+...+0.02+0.018+0.016
p(x < 210 ) = 0.908Hence, the probability is 0.908
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No links consider circle o with diameter lm and chord pq. if lm = 20cm, and pq = 16cm what is the length of rm in centimeters?
The length of RM is approximately 19.90 cm.
In the given scenario, we have a circle with diameter LM and a chord PQ. Let's denote the midpoint of chord PQ as R. To find the length of RM, we can use the properties of perpendicular bisectors.
Since LM is a diameter, it passes through the center of the circle, denoted as O. As a result, we can conclude that angle LOM is a right angle, and OR is perpendicular to PQ.
We can use the Pythagorean theorem to find the length of RM. According to the theorem, in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
LM² = RM² + LR²
Given that LM = 20 cm and PQ = 16 cm, we can determine LR by subtracting half of PQ from LM:
LR = (LM - PQ) / 2 = (20 - 16) / 2 = 4 / 2 = 2 cm
Substituting the known values into the Pythagorean theorem equation:
20² = RM² + 2²
400 = RM² + 4
RM² = 400 - 4
RM² = 396
Taking the square root of both sides:
RM = √396 ≈ 19.90 cm
Therefore, the length of RM is approximately 19.90 cm.
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4.
Joe has 15.25 ounces of cookie
dough. If each cookie uses 0.5 ounces
of cookie dough, how many cookies
can Joe make for everyone?
1. A chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch. Alonzo wants to make 3 12 batches. a. How many chocolate chips will he need?
Given:
1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.
Alonzo wants to make 3 12 batches.
Lets's find the number of chocolate chips he will need.
Number of batches he wants to make is = 3 x 12 = 36 batches
SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:
\(undefined\)Read the problem below about Uncle Ralph. You are asked to solve it in two different ways and then reflect on your method of solution.
Uncle Ralph says that if you can tell him the number of each type of coin in his pocket, then you can have the money. He gives you this information.
• He has only dimes and quarters.
• He has 17 coins in his pocket.
* The coins are worth $3.35
Can you get Uncle Ralph's money?
a. Solve the problem graphically. (Desmos?)
b. Solve the problem algebraically.
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
what is solution ?addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.
given
q represents the number of quarter
17 - q represents the number of dimes
0.25q + 0.10(17 - q) = 3.35
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
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how much is a penny that doubles everyday for 30 days?
If you doubled a penny every day, you would have $5,368,709.12
You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.
The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.
Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars
On day 30, if you doubled a penny every day, you would have $5,368,709.12.
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Copy and complete the table below for the graph of
y = 2x + 1.
What values should replace A and B?
X
Y
-1
-1
-
0
A
1
3
23
B
3
7
Answer:
A is 1
B is 5
Step-by-step explanation:
0 times 2 is 0 plus 1 is 1 that gives the answer to A
2 times 2 is 4 plus 1 is 5 which gives you B
PLEASE HELP ME IM TIMED! I'LL GIVE BRAINLIEST!!!
1. "do the laws of exponents hold for positive and negatives"? for fractional exponents? for irrational exponents, e.g. pi?
Yes, the laws of exponents hold for positive and negative numbers, fractional exponents, and even irrational exponents such as π.
Do the laws of exponents hold for positive and negative numbers?The laws of exponents apply to both positive and negative numbers. For example, when multiplying or dividing numbers with exponents, the exponents can be added or subtracted, respectively, regardless of the sign of the base. Similarly, when raising a number with an exponent to another exponent, the exponents can be multiplied. These rules hold true for positive and negative numbers, allowing consistent manipulation of expressions involving exponents.
Yes, the laws of exponents also hold for fractional exponents. The most common law, the power rule, states that when raising a number to a fractional exponent, the exponent can be expressed as a quotient of integers. This allows us to extend the laws of exponents to include fractional exponents and perform calculations accordingly. For example, we can multiply numbers with fractional exponents by adding the exponents and divide them by subtracting the exponents.
Yes, the laws of exponents also hold for irrational exponents, including numbers like π. Although irrational exponents cannot be expressed as exact fractions or decimals, we can still apply the laws of exponents. When working with irrational exponents, the calculations typically involve approximations or infinite series representations. However, the fundamental rules of exponentiation, such as adding, subtracting, or multiplying exponents, remain valid for irrational exponents as well.
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PLS HELP(Identifying Functions LC) Which of the following tables represents a relation that is a function?
x y
2 −5
2 −3
2 0
2 3
2 5
x y
−3 0
−1 3
0 4
3 0
4 3
x y
−4 2
−3 2
0 −2
0 2
4 2
x y
−4 −2
−3 4
−1 −1
−1 2
3 −3
Answer:
Option 2
x y
−3 0
−1 3
0 4
3 0
4 3
Step-by-step explanation:
For a relation x → y to be a function, there can be one and only one value of y for a value of x
Looking at the tables we see that option 1 is out since all x values are 2 andthere are multiple values of y
The last option is out because for x = 0 there are two values of y=-2 and y = 2
Correct choice is the second option which has a unique y value for each value of x
Answer:
option 2 im doing it rn
Step-by-step explanation:
Is y = x^2 + 1 a function
How is field data aggregated? Number of failed parts Number of failures Hours of operation Maintenance time Mark for follow up Question 3 of \( 7 . \) Data collection extends over a large number of it
Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.
Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
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8+9 divided by 3 in algebraic expression
Answer:
(8 + 9) ÷ 3 = x
Step-by-step explanation:
You first need to add 8+9, so you put them in parenthesis for PEMDAS
Then you divide them by 3
Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given
An electrician paid $398.40 total for 1,000 feet of wire.How much does he have to pay per foot a wire?
Divide the total spent by the total feet:
$398.40 / 1000 = 0.3984 per foot.
Round the answer as needed.
Tyler planted 25 seedlings. One grew to 6 inches in height, 13 grew to 5 inches, 10 grew to 4 inches, and 1 grew to 3 inches. One a dot plot of Tyler’s data, what is the median height?
Answer:
5
Step-by-step explanation:
Upper: 6,5,5,5,5,5,5,5,5,5,5,5,5
Median: 5
Lower: 5,4,4,4,4,4,4,4,4,4,4,3
4. Simplify
(x^-5x+1)-(-2x+3x-7)
Answer:
Ur answer should be 2.
Which expression gives the length of AB if the circumference of the circle is38 cm?145B145A.38B.360145· 387c.36038D.145360387
Remember that the formula for the length of the arc is:
\(2\pi r\cdot\frac{\theta}{360}\)Notice that
\(2\pi r\)is the formula for the circumference of the circle.
Using this and the data given, we'll have:
\(2\pi r\cdot\frac{\theta}{360}\rightarrow38\cdot\frac{145}{360}\)Or
\(\frac{145}{360}\cdot38\)Therefore, the correct answer is Option A
18 m
6 m
6 m
16 m
16 m
14 m
Based on tha sales data for the last 30 years the linear regression trend line equation is: Ft=62+21 t What is the forecast sales value for year 31
Therefore, the forecast sales value for year 31 is $713. This is how we can use the linear regression trendline equation to forecast sales value.
The linear regression trend line equation can be utilized to forecast the sales value for year 31. The trendline equation is given as:
Ft=62+21 t
where: Ft = Forecasted sales value for the year 31.t = Number of years after the initial year 0.
Therefore, if the current year is year 30, t=30.
Now, we can utilize this equation to estimate the forecasted sales value for year 31 by plugging in t=31 in the above equation:
F31 = 62 + 21(31)
F31 = 62 + 651
F31 = 713
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the t value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom is -
The t-value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom is 2.03.
To calculate the t value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom, we used the t-distribution table. The t-distribution table has two variables: degree of freedom and confidence level.
The first step was to locate the row in the table that corresponds to the given degrees of freedom (df=52). The next step was to locate the column in the table that corresponds to the given confidence level (98%). the t -value for the given df and CL was located at the intersection of the row and column, which is -2.03. essentially the t-distribution table provides a range of values for the amount of variability that is expected within a given sample.
The t-value is the point within the range that will represent the 98% confidence level for the sample with 52 degrees of freedom. the t-value of -2.03 indicates that the sample has a 9.8% chance of falling within a range of values that is two standard deviations away from the mean.
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use the disk method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = 1 1 x2 , y = 0, x = −1, x = 1
The volume of the solid generated by revolving the region bounded by y = x², y = 0, x = -1, and x = 1 about the x-axis is 2π/5 cubic units.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of the solid generated by revolving the region bounded by the graphs of y = x² and y = 0 about the x-axis, we can use the disk method.
The disk method involves integrating the cross-sectional areas of infinitesimally thin disks that make up the solid.
In this case, the cross-sectional area of each disk is given by A(x) = π * (f(x))², where f(x) is the distance between the curves y = x² and y = 0 at a given x-value.
To find the bounds of integration, we observe that the region is bounded by x = -1 and x = 1.
Therefore, the volume of the solid can be calculated as:
\(V =\int [a, b] A(x) dx\)
\(V = \int[-1, 1] \pi * (x^2)^2 dx\)
\(V = \int [-1, 1] \pi * x^4 dx\)
Integrating:
\(V = \pi * (1/5) * x^5 | from -1 to 1\)
V = π * (1/5) * (1⁵ - (-1)⁵)
V = π * (1/5) * (1 - (-1))
V = π * (1/5) * 2
V = 2π/5
Therefore, the volume of the solid generated by revolving the region bounded by y = x², y = 0, x = -1, and x = 1 about the x-axis is 2π/5 cubic units.
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Katerina's phone number has ten digits in total. Now her friend Kylie wants to call her, but Kylie only remembers the first six digits. How many times Kylie has to try at most in order to call Katerina if she does not dial repetitive phone numbers?
Kylie has to try at most 3,024 different combinations in order to call Katerina if she does not dial repetitive phone numbers.
Kylie only recalls the first six numbers of Katerina's phone number, so she must guess the last four. Because she cannot repeat any of the numbers she has already successfully predicted, the first remaining digit has just nine viable alternatives (all digits from 0 to 9 except the one she already knows). Similarly, the second remaining digit has just eight options, the third has seven, and the fourth has six.
Therefore, the total number of possible combinations is:
9 x 8 x 7 x 6 = 3,024
This implies Kylie will have to try at most 3,024 different combinations to reach Katerina, provided she gets it right on the last try.
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Beads cost $2.40 per pound. How many pounds of beads can Sam buy with $18?
Answer: 7 pounds
Step-by-step explanation: Since you have 18 dollars and buy $2.40 beads, your equation is 18 divided by 2.40.
18 divided by 2.40 is 7.5
But since it’s asking how many pounds, not half a pound, the answer is simple 7 pounds of beads.
PLEASE HELP ASAP!! 30 POINTS FOR ANSWERS!!
Answer:
Step-by-step explanation:
If a +5 = b + 3 and a + 5 = 12, then b +3=
That’s the question and this is Transitive Property of Equity
Which of the following is the solution to r/9 - 7 = -4
(1) r=-27
(3) r =99
(2) r=1
(4) r= 27
Answer:
27
Step-by-step explanation:
(I apologize for the writing)