The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?
Answer:
x^87
Step-by-step explanation:
Multiplying x^22 and x^7 results in x^29.
Then we have:
(x^29)^3 = x^87
Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)
i can’t breathe out my nose rn
Answer:
breath out your mouth then
Step-by-step explanation:
Can someone please help me with this?
Using substitution method, the system of equation has no solution.
How to solve the system of equation by substitution?System of equation can be solved using different method such as elimination method, graphical method and substitution method.
Therefore, let's solve the system of equation using substitution method.
- 3x + 3y = 4
2x = 2y + 6
divide through equation(ii) by 2
Therefore,
- 3x + 3y = 4
x = y + 3
Substitute the value of x in equation(ii)
Therefore,
- 3(y + 3) + 3y = 4
- 3y - 9 + 3y = 4
-3y + 3y = 4 + 9
0 = 13
Therefore, the system of equation cannot be solved.
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Find the measure of KM. PLEASE PLEASE PLEASE HELP ASAP!!!!!!!!!!!!!!!
A. 7
B. 17
C. 12
D. 14
Answer:
C
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant , that is
ML × KM = MN × MR, substitute values
7 × KM = 6(6 + 8)
7 KM = 6 × 14 = 84 ( divide both sides by 7 )
KM = 12 → C
Answer:
C.) 12
Step-by-step explanation:
I got it correct on founders edtell
[100 PTS] (I NEED A ANSWER QUICK!)
Given the equation 3x + 15 = 84:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
Answer:
Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.
Step-by-step explanation:
Answer:
Part A: Word problem
Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.
Part B: Solution
To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:
3x + 15 - 15 = 84 - 15
3x = 69
Step 2: Divide both sides of the equation by 3 to isolate x:
3x/3 = 69/3
x = 23
So, the solution to the equation is x = 23.
Part C: Explanation
In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.
Step-by-step explanation:
The weights of the fish in a certain lake are normally distributed with a mean of 6.1 lb and a standard deviation of 2.1 lb. If 50 fish are randomly selected, what is the probability that the mean weight will be less than 6.5 lb?
The probability that the mean weight of 50 randomly selected fish from the lake is less than 6.5 lb is approximately 0.8673.
To solve this problem, we will use the Central Limit Theorem, which states that the distribution of sample means from a population with any distribution approaches a normal distribution as the sample size increases.
Given that the population mean is 6.1 lb and the population standard deviation is 2.1 lb, we can calculate the standard error of the mean (SE) using the formula SE = σ/√n, where σ is the standard deviation of the population and n is the sample size.
In this case, σ = 2.1 lb and n = 50, so the standard error of the mean is SE = 2.1/√50 ≈ 0.297 lb.
Next, we need to standardize the sample mean using the formula z = (x - μ) / SE, where x is the desired sample mean and μ is the population mean.
Substituting the values, we have z = (6.5 - 6.1) / 0.297 ≈ 1.34.
Now, we need to find the probability of obtaining a z-score less than 1.34. We can use a standard normal distribution table or a statistical software to find this probability. Using a table or software, we find that the probability is approximately 0.8673.
The probability that the mean weight of 50 randomly selected fish from the lake is less than 6.5 lb is approximately 0.8673. This means that there is a high likelihood that the average weight of a sample of 50 fish from the lake will be less than 6.5 lb, given the population mean and standard deviation provided.
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Boris spent $12 on the fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
Answer:
15%
Step-by-step explanation:
$80 . . . 100%
$12 . . . x%
x= 12*100/80=15
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]
Although part of your question is missing, you might be referring to this full question: What are the vertex and range of y = |2x + 6| + 2?
(0, 2); 2 < y < ∞
(0, 2); −∞ ≤ y < ∞
(−3, 2); 2 < y < ∞
(−3, 2); −∞ ≤ y < ∞
The vertex of the function is (–3, 2) and the range of the function is 2 < y < ∞.
The given modulus function:
y = |2x + 6| + 2
Now, we get two equations out of the absolute value function:
y = 2x + 6 + 2
y = 2x + 8
and
y = –2x – 6 + 2
y = –2x – 4
The vertex of the function will be at a point where these two equations are equal. So, we can calculate the vertex as follows:
2x + 8 = –2x – 4
2x + 2x = –4 – 8
4x = –12
x = –3
If x = –3, then y = 2(–3) + 8 = –6 + 8 = 2
Thus, the vertex of the function is (–3, 2).
Now, the values that y can take will range from 2 to infinity as y cannot take values below the vertex.
Thus, the range of the function is 2 < y < ∞.
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What is the slope of the line?
Answer:
3 or 3/1
Step-by-step explanation:
up 3, right 1
Stephen belongs to a movie club in which he pays an annual fee of $39.95 and then rents DVDs for $0.99 each. In one year, Stephen spent $54.80. How many DVDs did he rent? If possible, can you give me the equation and solution as well?
the sum of a two digit number is 10. the value of the number is 16 times the units digit. find the number
Answer:
64
Step-by-step explanation:
Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.
For instance , 54, a = 5 and b =4
The number can be written 10*a+b (54=5*10+4, for instance)
The sum of a two digit number is 10.
a + b = 10
The value of the number is 16 times the units digit.
10a + b = 16b <=> 10a = 16b - b = 15b
\(<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6\)
and then, b = 10 - 6 = 4.
So the solution is 64.
Thank you
In local elections the typical voter turnout is 18% of registered voters. If 20
registered voters are randomly selected, what is the probability that exactly 2 of
them voted in a local election?
The probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
This is a binomial probability problem, where we have a fixed number of trials (n=20) and each trial is either a success (voted in a local election) or a failure (did not vote in a local election).
The probability of success for each trial is p=0.18 (since the typical voter turnout is 18%). We want to find the probability of exactly 2 successes in 20 trials.
We can use the binomial probability formula to solve this problem:
\(P(X = k) = (n choose k) * p^k * (1-p)^{n-k}\)
where X is the random variable representing the number of successes (voters who voted in a local election), k is the number of successes we're interested in (k=2), n is the total number of trials (n=20), p is the probability of success (p=0.18), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and is calculated as:
(n choose k) = n! / (k! * (n-k)!)
Plugging in the values, we get:
\(P(X = 2) = (20 choose 2) * 0.18^{2} * (1-0.18)^{20-2}\)
= (190) * 0.0324 * 0.8222
= 0.382
Therefore, the probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.
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thought: (0,-4), slope=1
Answer:
D choice.
Step-by-step explanation:
Pass through (0,-4) means that the graph intercepts y-axis at (0,-4)
\(y = mx + b\)
Therefore, our b is -4
\(y = mx - 4\)
Slope = 1 means that the value of m is 1. Substitute m = 1.
\(y = x - 4\)
Therefore, the answer is D choice.
160 cm= mm
250 m =. km
pls answer I give brainliest
Answer:
8
Step-by-step explanation:
Find the percentage error if you: Estimate your credit card balance to be $2000 when it is $2590. a. 22.8% b. 20.5% c. 30.8% d. 50.6%
Answer:
a) 22.8%
Step-by-step explanation:
(2590-2000) ÷ 2590 =
590 ÷ 2590 =
.2277 = 22.8%
tell whether the angles are complementary or supplementary. Then find the value of x
Answer:
12) complementary, x=15
13) complementary, x = 35
x+ (x-20) = 90
x+x+20=90
2x=70
x=35
14) supplementary, x=31
2x+3x+25=180
5x=155
x=31
15) <1 = 130 degrees
<2 = 50 degrees
<3 = 130 degrees
16) x=53
x+2x+21=180
3x=159
x=53
a one-to-one relationship between two tables is indicated by a
A one-to-one relationship between two tables is indicated by a primary key in one table being used as a foreign key in the other table. It means each record in one table corresponds to exactly one record in the other table.
In a one-to-one relationship between two tables, a primary key in one table is used as a foreign key in the other table. This relationship is established to ensure that each record in one table corresponds to only one record in the other table.
For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer. The primary key "CustomerID" in the "Customers" table would be used as the foreign key in the "Orders" table.
This indicates that each record in the "Orders" table is associated with a specific customer in the "Customers" table, creating a one-to-one relationship. For example, in the "Customers" and "Orders" tables, each customer can have only one order, and each order can belong to only one customer.
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classify each structure according to its functional class. compound a contains a carbonyl bonded to two alkyl groups. compound b contains an oxygen bonded to two alkyl groups. compound c contains a carbonyl bonded to propyl and n h c h 3. compound d is a nitrogen bonded to three alkyl groups.
The classification of the compounds according to their functional class: A | Aldehyde
B | Alcohol
C | Ketone
D | Amine
Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.
They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.
Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.
Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.
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0.1254 is rational or irrational ?
Answer:
Rational
Step-by-step explanation:
You can write it as a ratio of a/b
Answer:
Irrational
Step-by-step explanation:
Irrational- anything that can be written as a decimal.
Rational- anything that can be written as a fraction.
Hope this helps. Plz give brainliest.
The total area under a probability distribution equals 1.
A.) True
B.) False
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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The odds against the horse Bucksnot winning the race are 8:7. What is the probability that Bucksnot will win the race?
We have to find the probability that Bucksnot wins the race, which has odds that are 8:7.
The odds 8:7 means that out of 8+7 = 15 races, Bucksnot is expected to win 8.
Then, the probability can be calculated as:
\(P=\frac{8}{15}\approx0.533\)Answer: the probability is approximately 0.533.
1.Solve : 3(5 + 7) - 4(8 + 4) = * 2.solve:-7 x -10 ill give you an free robux account if you get them correct
Answer:
1) -12, 2) 70
Step-by-step explanation:
Hope this helps :)
Answer:
oh someone got it already :(((( ugh
Step-by-step explanation:
ro bux
A child sleeps 12 h a day what percentage of the day does he spend
Answer:
50 percent
Step-by-step explanation:
A formula for calculating A, the area of the trapezoid, A= 1/2 (b + b), where h is the height of the trapezoid, and b and b are the lengths of parallel sides. What is A when h = 4 centimeters, b = 10 centimeters, and b = 5 centimeters?
Answer:
30
Step-by-step explanation:
10 + 5 = 15 so 15 x 4 = 60 and 60 divided by 2 is 30
Answer:
Should be 30
Extra blank space because for some reason I have to have a minimum of 20 words so I will keep writing until it lets me post it ok? Ok.
The base of a regular pyramid is a hexagon.
Answer:
The base of the regular pyramid is a square.
Step-by-step explanation:
Six percent of all cars manufactured at a large auto company are lemons. Suppose two cars are selected at random from the production line of this company. Let x denote the number of lemons in this sample. Write the probability distribution of x. X P(x) 0. 0.8836 1. 0.1060 2. 0.0564
The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.
The probability distribution of x can be calculated as follows:
Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:
P(x) = (nCx) * p^x * (1-p)^(n-x)
where n is the sample size, p is the probability of success, and x is the number of successes.
The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:
P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836
P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060
P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564
Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564
In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.
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Scott rolled a number cube several times and counted how many times he rolled a 3.
What is the theoretical probability of Scott rolling a 3 if his number cube is fair?
Answer:
The probability of rolling a 3 is : 1/6
Step-by-step explanation:
two roots of (2x+3)(5X-2)=0
Answer:
Complicated
Step-by-step explanation:
(2x+3)(5X-2)=0
2x+3×5x-2=0
2x-5x×-3-2=0
3x×-5=0
Answer:
x = -3÷2 or x = 2÷5Step-by-step explanation:
(2x+3)(5x-2) =0
2x+3=0 or 5x-2=0
2x=-3 OR. 5x=2
2x÷2 = -3÷2 OR 5x÷5=2÷5
x= -3÷2. OR x= 2÷5