Answer:
x = 5
Step-by-step explanation:
X+3(2×-4)=-19
First, solve the brackets.x + 3(-8) = -19
Now, multiply 3(-8).x - 24 = -19
Add 24 to both sides of the equation.x = 5
I want to know what 64 take away 3 is
Hey there!
CHOICE A. j = 4
6j - 3
= 6(4) - 3
= 24 - 3
= 21
Thus, the answer is: 21
CHOICE B. b = 3
b(b) + 5
= 3(3) + 5
= 9 + 5
= 14
Thus, the answer is: 9
CHOICE C. k = 3.5
8 + 4k
= 8 + 4(3.5)
= 8 + 14
= 22
Thus, your answer is: 22
All you had to do was substitute the values of the letters into the equation to find your answer.
For 64 - 3 you have to START at 64 and go BACK 3 spaces DOWNWARD (also known as to the LEFT of the number line) and you should be STOPPED on 61. So, 64 - 3 would most likely be: 61
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Writing lan's car can go 217 miles on 7 gallons of gas. During a drive last weekend, lan used
3 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if
you were given the distance lan drove last weekend instead of how much gas he used.
He drove
miles
Answer: Ian would have drove 91 miles using only 3 gallons of gas.
Step-by-step explanation: I used paper and pencil and used a T-chart putting one section at the top “gallons” and the other “miles”; under gallons I put 7 because the question stated with “7 gallons of gas”; under miles I put 217 because the question states that with 7 gallons of gas Ian’s car travels 217 miles so using the T-chart I want to simply the 7 gallons of gas to one gallon of gas to figure out how miles Ian’s car would go only using 3 gallons of gas; by dividing 7 by 7 giving me 1, and with a T-chart you wanna do the same thing to both sides meaning I divided 217 by 7 as well giving me 31 for 1 gallon of gas, meaning Ian’s car would travel 31 miles with only using 1 gallon of gas. After I find that answer I go to multiply the 1 under “gallons” by 3 to and again, if you do it to one side you have to do it to the other meaning I multiplied 31 my 3 as well; giving me 91. Meaning with only using 3 gallons of gas Ian’s car would travel 91 miles!
Given :
Writing lan's car can go 217 miles on 7 gallons of gas.
During a drive last weekend, lan used
3 gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 217 mi on 7 gallons of gas.Using Unitary Method ,
On 1 gallon of gas it will go 217/7 miOn 3 , it will go 31*3 = 91 milesHence the required answer is 91 miles
b) Here are the first four terms of a quadratic sequence.
The nth term of this sequence is an^2 + bn + C.
1
11
27
49
Find the values of a, b and c.
Find answer is the given attachment
what is the probability that a randomly selected person would be a protestant and at the same time bea democrat or a republican?
The probability of picking a red ball is 2/3.
As given in the student question,
The probability that a randomly selected person would be a protestant and at the same time be a democrat or a republican is not given in the problem statement.
Hence, it cannot be determined without further information.
Probability is the branch of mathematics that deals with the study of uncertainty.
It provides a framework for analyzing random events that occur in the real world.
Probability helps us to estimate the likelihood of a particular event occurring. It helps us to make informed decisions when faced with uncertain outcomes.
It plays a critical role in many fields such as science, engineering, economics, and finance.
Probability formula:
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
The formula for probability is given by:
P (A) = Number of favorable outcomes/ Total number of outcomes
where P (A) represents the probability of event A.
Example:
Suppose we have a bag containing 10 red balls and 5 blue balls.
The total number of outcomes = 10 + 5 = 15
The number of favorable outcomes = 10P (Red ball) = 10/15 = 2/3
Therefore, the probability of picking a red ball is 2/3.
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HELP ASAP WHAT ONE IS IT
Answer:
C
Step-by-step explanation:
Not congruent because you have congruent only
1 pair or Angles and one pair of Sides ( the one that is shared in the middle )
GEOMETRY
Which of the following statements is NOT a property of parallelograms?
All 4 angles are congruent.
Opposite angles are congruent.
Opposite sides are congruent
Parallelograms have 4 straight sides.
Step-by-step explanation:
Parallelogram is a quadrilateral s.t. opposite sides are parallel.
1. 4 angles DON'T necessarily have to be congruent
2. True
3. Opp. sides DON'T necessarily have to be congruent
4. True
SO first and third statements are NOT property of parallelogram
Stuck on this question need help
Answer:
4y4 the 1st one
may this help you
salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $23. Option B is a commission rate of 10% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
The acceleration of an object (in m/s2) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) = -7 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = Preview b) Find the object's displacement (in meters) from time 0 to time 3. Preview meters c) Find the total distance traveled by the object from time 0 to time Preview meters
a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.
The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):
v(t) = ∫(6 sin(t)) dt
Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:
v(t) = -6 cos(t) + C
To find the constant C, we use the initial velocity v(0) = -7 m/s:
-7 = -6 cos(0) + C
-7 = -6 + C
C = -1
Therefore, the equation for the object's velocity is:
v(t) = -6 cos(t) - 1
b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:
Displacement = ∫[0,3] (-6 cos(t) - 1) dt
Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:
Displacement = [-6 sin(t) - t] from 0 to 3
Plugging in the upper and lower limits:
Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]
Displacement ≈ -6 sin(3) + 3
Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.
c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:
Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt
Since the absolute value function makes the negative part positive, we can rewrite the equation as:
Total Distance = ∫[0,t] (6 cos(t) + 1) dt
Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:
Total Distance = [6 sin(t) + t] from 0 to t
Plugging in the upper and lower limits:
Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]
Total Distance = 6 sin(t) + t
Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.
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let do be the nondeterministic loop do x ≠ 0 ➞ x := x-1; y := y 1 ☐ x ≠ 0 ➞ x := x-1; y := y 2 od
Thus, the output of the loop is non-deterministic.
Let us consider the loop and the conditions given:
While the condition `x ≠ 0` holds, the loop will continue.
Within the loop, there are two possible paths: `y:=y1` or `y:=y2`.
Since the path to take is non-deterministic, there are two possible outputs:
Either y will be assigned a value of y1 or y2.
Here, it is impossible to determine which assignment will be executed; there is no way to know if x will be decremented once or twice.
This demonstrates that the behavior is non-deterministic, and the possible outputs are `[y1,y2]`.
Thus, the output of the loop is non-deterministic.
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3u+3-2(-3u-1)=5(u-1)
Answer:
u = -1/5
Step-by-step explanation:
name me brainliest please.
Rahul invested $1,100 in an account paying an interest rate of 3 3/8% compounded
quarterly. Caleb invested $1,100 in an account paying an interest rate of 3 1/4%
compounded daily. After 8 years, how much more money would Rahul have in his
account than Caleb, to the nearest dollar?
Answer:
$13
Step-by-step explanation:
You want to know how much more Rahul's investment of $1100 at 3 3/8% compounded quarterly for 8 years is worth than Caleb's investment of $1100 at 3 1/2% compounded daily for 8 years.
Rahul's accountThe amount in Rahul's account is given by ...
A = P(1 +r/n)^(nt) . . . . . P invested at rate r compounded n times per year
A = $1100(1 +0.03375/4)^(4·8) = $1100(1.0084375^32) ≈ $1439.33
Caleb's accountThe same formula is used for Caleb's account, but with different numbers.
A = $1100(1 +0.0325/365)^(365·8) ≈ $1426.61
DifferenceThe difference in account values is ...
Rahul's - Caleb's = $1439.33 -1426.61 = $12.72 ≈ $13
Rahul will have about $13 more in his account.
<95141404393>
I feel like i’m wrong lol, Correct me please.
Suppose you had 9 counselors available. How many campers plane. Could you have
To determine the maximum number of campers that can be accommodated based on the availability of 9 counselors, we need to consider the counselor-to-camper ratio. Without additional information about the specific ratio or any constraints, we cannot provide an exact answer. However, assuming an ideal scenario with a 1:10 counselor-to-camper ratio, we can estimate the number of campers.
With 9 counselors available, and assuming a 1:10 ratio, we can multiply the number of counselors (9) by 10 to calculate the estimated maximum number of campers:
9 counselors × 10 campers/counselor = 90 campers
Therefore, under the assumption of a 1:10 counselor-to-camper ratio, there could potentially be a maximum of 90 campers. However, please note that this estimation is based on assumptions and the actual number may vary depending on the specific requirements and guidelines of the camp.
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one-ninth the sum of 12 and 15
Students held a carnival to raise funds for the school. Adult tickets sold for $6 and children's tickets
sold for $3. A total of $384 was raised. If twice as many children attended the carnival as adults, how
many adults attended?
a. 16 adults
b. 64 adults
c. 32 adults
d. 12 adults
Answer: 16
Step-by-step explanation:
multiply 6 by the answers below until you get 1/3 of 384.
What is the correct factorization of
x^2 + 5x – 6?
(x – 1) (x + 6)
(x + 1) (x – 6)
(x – 2) (x – 3)
(x – 2) (x + 3)
Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function
Since each input is mapped to only one output, the best description of the ordered pairs is given by:
B. both a relation and a function.
When does a relation represents a function?
A relation represents a function if each value of the input is mapped to only one value of the output.
For a point in the format (x, y), we have that:
=> x is the input.
=> y is the output.
=> The meaning is that the input x is mapped to the output y.
For this problem, the points are given as follows:
(-2, -1), (1, -4), (5, -8), (9, -12)
Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:
B. both a relation and a function.
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Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?
Answer:
The slope of the perpendicular line will 1/3.
Step-by-step explanation:
Write down the solution to the simultaneous equations.
2x+y = 12
y = 2x + 2
x = ________? y = ________?
Answer:
x = 5/2; y = 7
Step-by-step explanation:
2x + y = 12
y = 2x + 2
Use substitution to replace y in the first equation with 2x + 2.
2x + 2x + 2 = 12
4x + 2 = 12
4x = 10
x = 10/4
x = 5/2
y = 2x + 2
y = 2(5/2) + 2 = 5 + 2
y = 7
Suppose an astrophotographer hands you a picture with star trails taken looking toward the north celestial pole. If the star trails are 1/6 of a complete circle, about how many hours was the picture exposed
If the star trails in an astrophotographer's picture looking toward the north celestial pole cover 1/6 of a complete circle, the exposure time can be estimated to be approximately 4 hours.
When photographing star trails, the rotation of the Earth causes the stars to appear as streaks across the image. The length of the star trails is directly proportional to the exposure time. In this scenario, since the star trails cover 1/6 of a complete circle, it implies that the camera captured 1/6th of the Earth's rotation during the exposure.
A full circle represents 24 hours, which is the time it takes for the Earth to complete one rotation. Therefore, if 1/6 of the circle is captured, we can estimate the exposure time by calculating 1/6th of 24 hours.
(1/6) * 24 = 4 hours
Hence, the picture was exposed for approximately 4 hours. This estimation assumes that the stars move uniformly during the exposure, which is a reasonable approximation for practical purposes.
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The Johnson family went out for dinner. Their final bill was $93.75. They have to pay a 6.5% sales tax and want to leave a 15% tip. How much do they spend
The Johnson family's total expenditure for dinner, including sales tax and tip, can be calculated by adding the original bill, the sales tax amount, and the tip amount. The sales tax is 6.5% of the bill, and the tip is 15% of the bill. Therefore, the Johnson family spent $113.90 in total, including the sales tax and tip.
To determine the total amount spent by the Johnson family, we can follow these steps:
Step 1: Calculate the sales tax amount.
The sales tax is 6.5% of the original bill. To find the sales tax amount, we multiply the bill by 6.5% (or 0.065):
Sales tax = 0.065 * $93.75 = $6.09.
Step 2: Calculate the tip amount.
The tip is 15% of the original bill. To find the tip amount, we multiply the bill by 15% (or 0.15):
Tip = 0.15 * $93.75 = $14.06.
Step 3: Find the total expenditure.
The total expenditure is the sum of the original bill, the sales tax amount, and the tip amount:
Total expenditure = $93.75 + $6.09 + $14.06 = $113.90.
Therefore, the Johnson family spent $113.90 in total, including the sales tax and tip.
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Simplify the expression Β. 15ω – 6ω + 1402
Answer:
9w+1402
Step-by-step explanation:
Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill.
Answer:
A=10.54 change
Step-by-step explanation:
50-39.46=10.54
The cashier gave incorrect change.
Solve each equation. For each step. Identify the property used.
14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7
(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)
Answer:
Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2
Solution of \(22x + 11 = 4x - 7\) => x=-1
Step-by-step explanation:
We will solve the equations one by one
So,
\(14 + 3n = 8n - 3(n-3)\)
Applying Distributive property
\(14 + 3n = 8n - 3n+9\\14+3n = 5n+9\)
Subtraction property of equality (Subtracting 14 from both sides)
\(14+3n-14 = 5n+9-14\\3n = 5n-5\)
Subtraction property of equality (Subtracting 5n from both sides)
\(3n-5n = 5n-5-5n\\-2n = -5\)
Division property of equality (Dividing both sides by -2)
\(\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}\)
Second Equation:
\(22x + 11 = 4x - 7\)
Subtraction property of equality (Subtracting 11 from both sides)
\(22x + 11-11 = 4x - 7-11\\22x = 4x-18\)
Subtraction property of equality (Subtracting 4x from both sides)
\(22x-4x = 4x-18-4x\\18x = -18\)
Division property of equality (Dividing both sides by 18)
\(\frac{18x}{18} = \frac{-18}{18}\\x = -1\)
Hence
Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2
Solution of \(22x + 11 = 4x - 7\) => x=-1
Anthony surveys a group of students at his school about whether they play a sport. This table shows the results broken down by gender. Are being a girl and playing sports independent events? Why or why not?
The table provided displays the results of Anthony's survey on whether students at his school play a sport, categorized by gender. The question at hand is whether being a girl and playing sports are independent events.
In order to determine if being a girl and playing sports are independent events, we need to understand the concept of independence in probability. Two events are considered independent if the occurrence of one event does not affect the probability of the other event happening.
Looking at the table, we can analyze the data for girls and boys separately. If the proportion of girls playing sports is consistent regardless of the total number of girls surveyed, then being a girl and playing sports can be considered independent events. However, if the proportion of girls playing sports varies depending on the total number of girls surveyed, then being a girl and playing sports are not independent events.
To determine the independence, we would need additional information about the total number of girls surveyed and the proportion of girls playing sports across different sample sizes. Without that information, we cannot definitively conclude whether being a girl and playing sports are independent events based solely on the provided table.
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Solve 1.25 x 4 + 3 x 2 divided by (1/2) to the 3rd power
The required solution to the given numerical expressions is 88.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power
According to the given question,
⇒ (1.25 × 4 + 3 × 2) / (1/2)³
Apply the multiplication operation in the terms of the numerator,
⇒ (5 + 6) / (1/2)³
Apply the addition operation in the terms and expand the power of the denominator,
⇒ (11) / (1/8)
Reciprocal the term of denominator,
⇒ (11) × 8
⇒ 88
Therefore, the required solution to the given numerical expressions is 88.
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I reallyyyy need help and i gotchu wit a lot of points if you can help me
Answer:
a. $14.99k + $24+ $25 = x
b. $14.99(3) + $24+ $25 = x
$44.97 + $24 + $25 = $93.97
Step-by-step explanation:
Answer:
i) C= $14.99 k + $24
ii) $93.97
Step-by-step explanation:
Let the number of models be represented by -----------k
Let the amount spent on books to be--------$24
The equation that represent amount spent in the mall is given as;
C= $14.99 k + $24 ---------------where ;
C= the equation for the total amount spent in the mall
k = the number of plane models
ii)
Using the equation : C= $14.99 k + $24 and if k = 3 and the amount spent on the store is $25 then ;
C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97
C+ 25 = $68.97 + 25 =$93.97
For a random bit string of length n find the expected value of a random function X that counts the number of pairs of consecutive zeroes. For example X(00100) = 2, X(00000) = 4, X(10101) = 0, X(00010) = 2.
To find the expected value of X, we need to first determine the probability of having a pair of consecutive zeroes in a given bit string of length n. Let P be the probability of having a pair of consecutive zeroes in any given position of the bit string.
We can calculate P by considering the possible pairs of consecutive zeroes that can occur in a bit string of length n. There are n-1 pairs of adjacent bits in the bit string, so the probability of a given pair being two zeroes is 1/4 (since there are four possible pairs: 00, 01, 10, 11). However, if the first bit is 0 or the last bit is 0, then there are only n-2 pairs, and the probability of a given pair being two zeroes is 1/2. Therefore, the probability of having a pair of consecutive zeroes in a bit string of length n is:
P = [(n-2)/n * 1/4] + [1/n * 1/2] + [1/n * 1/2] + [(n-2)/n * 1/4]
= (n-3)/2n + 1/n
Now, let Xi be the random variable that counts the number of pairs of consecutive zeroes that start at position i in the bit string (where 1 <= i <= n-1). Then X = X1 + X2 + ... + Xn-1 is the total number of pairs of consecutive zeroes in the bit string.
To find the expected value of X, we use linearity of expectation:
E[X] = E[X1] + E[X2] + ... + E[Xn-1]
We can calculate E[Xi] for any i by considering the probability of having a pair of consecutive zeroes starting at position i. If the i-th and (i+1)-th bits are both 0, then there is one pair of consecutive zeroes starting at position i. The probability of this occurring is P. If the i-th bit is 0 and the (i+1)-th bit is 1, then there are no pairs of consecutive zeroes starting at position i. The probability of this occurring is 1-P. Therefore, we have:
E[Xi] = P * 1 + (1-P) * 0
= P
Finally, we substitute our expression for P into the formula for E[X] to get:
E[X] = (n-3)/2n + 1/n * (n-1)
= (n-3)/2n + 1
So the expected value of X for a random bit string of length n is (n-3)/2n + 1.
To find the expected value of a random function X that counts the number of pairs of consecutive zeroes in a random bit string of length n, we can follow these steps:
1. Calculate the total number of possible bit strings of length n. There are 2^n possible bit strings since each position can be either a 0 or a 1.
2. Find the probability of each pair of consecutive zeroes occurring in the bit string. Since there are 2 possible values for each bit (0 or 1), the probability of a specific pair of consecutive zeroes is 1/4 (0.25).
3. Determine the maximum number of pairs of consecutive zeroes in a bit string of length n. The maximum number is n - 1 since the first n - 1 bits can form pairs with the bits that follow them.
4. Calculate the expected value by multiplying the probability of each pair of consecutive zeroes by the number of pairs that can occur, and sum the results. The expected value E(X) can be calculated using the formula:
E(X) = Sum(P(i) * i) for i from 0 to n - 1, where P(i) is the probability of i pairs of consecutive zeroes occurring.
To simplify the calculation, consider that each position has a 1/4 chance of forming a consecutive zero pair with the following position, and there are n - 1 such positions:
E(X) = (1/4) * (n - 1)
So, the expected value of a random function X that counts the number of pairs of consecutive zeroes in a random bit string of length n is (1/4) * (n - 1).
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Given that 2x/5=3y/8, find the ratio of X:y
Answer:
\(\frac{2}{5} :\frac{3}{8}\)
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.