Answer:
$5.11
Step-by-step explanation:
3.6 x 1.42 = 5.112
Write the definition of a function doubleIt, which doubles the value of its argument but returns nothing so that it can be used as follows: int x=5; doubleIt(&x); /* x is now equal to 10 */in C++
The definition of a function doubleIt is equal to 10
void doubleIt(int* num) {
*num *= 2;
}
This function takes in a pointer to an integer as its argument (int* num), and then doubles the value of the integer pointed to by that pointer (*num *= 2). Since the function returns void, it does not return any value, but instead modifies the value of the integer passed in by reference.
To use this function, you can declare an integer variable x, pass its address to doubleIt, and then x will be modified with its new value:
int x = 5;
doubleIt(&x);
After this code is executed, x will have the value of 10.
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4) determine whether the series converges absolutely, conditionally, or not at all (justify your answer): [infinity]
∑ cos n / 2^n
n=1
The sum of the given series ∑ \((cos(n) / 2^n)\) from n=1 to infinity converges absolutely.
To determine whether the series converges absolutely, conditionally, or not at all, we will analyze the given series:
∑ \((cos(n) / 2^n)\) from n=1 to infinity.
Step 1: Test for absolute convergence: We can test for absolute convergence by applying the Ratio Test to the absolute value of the terms in the series. We first consider the series: ∑ \(|cos(n) / 2^n|\) from n=1 to infinity.
Step 2: Apply the Ratio Test: For the Ratio Test, we compute the limit as n approaches infinity of the ratio of consecutive absolute terms: lim (n→∞) \((|cos(n+1) / 2^(n+1)|) / (|cos(n) / 2^n|)\)
= lim (n→∞) \((|cos(n+1)| / |cos(n)|) * (2^n / 2^(n+1))\) = lim (n→∞) \((|cos(n+1)| / |cos(n)|) * (1/2)\)
Since the cosine function has values between -1 and 1, the limit of the ratio of consecutive cosine terms exists but does not have a specific value. However, since we're multiplying the limit by 1/2, which is less than 1, the Ratio Test concludes that the series converges absolutely.
So, the given series ∑ \((cos(n) / 2^n)\) from n=1 to infinity converges absolutely.
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the half-life of a radioactivity kind of radium is 11 days. if you start with 1,488 grams of it, how much will be left 22 days??
ANSWER
372 grams
EXPLANATION
The half life of the substance is 11 days.
We want to find how much will be left after starting with 1488 grams for 22 days.
To do that, apply the formula for half life:
\(N=N_0(\frac{1}{2})^{\frac{t}{T_{}}}\)where N = amount of substance left
N0 = initial amount of substance
t = amount of time
t1/2 = hlaf life
Therefore, for the given substance, the amount that will be left after 22 days is:
\(\begin{gathered} N=1488\cdot(\frac{1}{2})^{\frac{22}{11}} \\ N=1488\cdot(\frac{1}{2})^2 \\ N=1488\cdot\frac{1}{4} \\ N=372\text{grams} \end{gathered}\)need a little help on this
.
Please help! Simple math! Will give brainliest! Write an equation where a number is added to a variable, and a solution is -8. Thank you!
Answer:
x+4=-8
Step-by-step explanation:
The variable x in this case would be -12.
Answer:
If your asking what I think you are then here is one.
a=2
-10+a=-8
Step-by-step explanation:
Determine how large the number a has to be so that ∫[infinity]a1x2+1dx<0.001
Integrals of Inverse Trigonometric Functions
The derivative of a function f(x) is given by
ddxf(x)=g(x)
Then the integration of g(x) is given by
∫g(x)⋅dx=f(x)+C∫
We can differentiate trigonometric functions , so we can also integrate trigonometric functions.
∫1x2+1dx=tan−1x+C∫12+1=tan−1
Inverse function value of tan−1xtan−1 :
tan−1([infinity])=π2
The number a has to be greater than 636.6197723675814 for the integral ∫[infinity]a1x2+1dx to be less than 0.001.
To determine how large the number a has to be so that ∫[infinity]a1x2+1dx<0.001, we can use the formula for the integral of inverse trigonometric functions:
∫1x2+1dx=tan−1x+C
We can substitute the limits of integration into this formula:
∫[infinity]a1x2+1dx=tan−1([infinity])-tan−1(a)
Since tan−1([infinity])=π2, the formula becomes:
π2-tan−1(a)<0.001
We can rearrange this inequality to solve for a:
tan−1(a)>π2-0.001
Taking the inverse tangent of both sides of this inequality gives us:
a>tan(π2-0.001)
Using a calculator, we can find that:
a>636.6197723675814
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a cylindircal container can be made by using two circles for the ends and a rectangle which wraps round to form the body. what is the largest possible cylinder
Answer:
Step-by-step explanation:
Answer:
Difference= $11,280
Step-by-step explanation:
Giving the following information:
Manager at Shop & Save Grocers= Hourly wages $16.50 per hour
Assistant Manager at Unbelievable Toys= Monthly wages $3,800
Cashier at 7-12 Convenience Store= Yearly wages $43,000
First, we need to calculate the yearly wages, and then compare the results:
Shop & Save Grocers= (16.5*40)*52= $34,320
Unbelievable Toys= 3,800*12= $45,600
The highest paying job is at Unbelievable Toys.
Difference= 45,600 - 34,320= $11,280
Angles formed by parallel lines and transversal
suppose there is a 10% chance of raining, and there is a 2% chance that the midterm exam is cancelled. assume that these two events (raining and cancelling the exam) are independent. what is the probability that neither events happen? please select the best answer.
TLDR: 88%
The probability of neither event happening is the complement of the probability of either event happening, which is 100 - 12 = 88.
Cheers,
qxxi
is there any time at which the plots using the exponential and logistic equations appear to coincide?
Yes, there is a specific time at which the plots using the exponential and logistic equations appear to coincide. This occurs when the population size is equal to half of the carrying capacity, which is also known as the inflection point.
At this point, the rate of population growth using the logistic equation is equal to the rate of population growth using the exponential equation. Before the inflection point, the logistic equation will show a slower growth rate than the exponential equation due to limiting factors such as food or space.
After the inflection point, the logistic equation will show a decrease in growth rate as the population approaches its carrying capacity. Therefore, the inflection point is an important concept to understand when comparing the exponential and logistic models in population ecology.
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Jada paints a circular table that has a diameter of 37 inches. What is the area of the table? (Do not round the answer.)
Answer:
A= 3,374.4
Step-by-step explanation:
diameter= 37 inches
radius = 18.5 because the radius is half of the diameter.
A= πr^2
A= (3.14)(18.5)^2
A= (58.09) ^2
A= 3,374.4 inches
How do I solve this equation?
Answer:
The range is 0 - 1 for x
Step-by-step explanation:
8x+5=6x+1 if you know can you please help thank youuu
Answer:
x = -2
Step-by-step explanation:
Subtract 5 from both sides (8x + 5 -5 = 6x + 1 -5);Subtract 6x from both sides (8x - 6x = 6x - 6x - 4);Divide both sides by 2 (2x / 2 = -4 / 2);Answer: x = -2Define the sequence {an} as follows:
• a1= 6
• a2 = 2 * an−1 + 2n for n ≥ 2.
Use mathematical induction to prove that for any positive integer n ≥ 1, an = −2n − 4 + 6 * 2n
By mathematical induction, we have proven that for any positive integer n, an = −2n − 4 + 6 * 2n.
Base case:
For n=1, we have a1 = 6, which satisfies the formula for a1: a1 = −2(1) − 4 + 6*2(1) = 6.
Inductive hypothesis:
Assume that the formula holds for some arbitrary positive integer k, i.e. ak = −2k − 4 + 6 * 2k.
Inductive step:
We need to show that the formula also holds for k+1, i.e. a(k+1) = −2(k+1) − 4 + 6 * 2(k+1).
Using the formula for ak in the definition of the sequence, we have:
a(k+1) = 2ak + 2(k+1)
= 2(-2k - 4 + 6 * 2k) + 2(k+1)
= -4k - 8 + 12*2k + 2k + 2
= -2k - 6 + 6 * 2(k+1)
Simplifying, we get:
a(k+1) = −2(k+1) − 4 + 6 * 2(k+1)
This is exactly the formula we wanted to prove for a(k+1).
Therefore, by mathematical induction, we have proven that for any positive integer n, an = −2n − 4 + 6 * 2n.
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find the future value of $750 deposited each month at 3.25% for 15 years
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
Simplify the expression given below.
4(3x−1)−(6x−5)
Answer:
6x+1
Step-by-step explanation:
You would want to distribute and then combine like terms.
A local restaurant serves 8 entrees for every 5
desserts. Which combination of entrees and
desserts does the restaurant serve?
The combination of entrees and desserts that the restaurant serve will be:
A. The restaurant could serve 40 entrees and 25 deserts.
E. The restaurant could serve 64 entrees and 40 deserts.
How to calculate the combination of entrees?The word problem in mathematics refers to a question that is written as a sentence which requires an individual to use his or her mathematics knowledge.
In this case, the local restaurant serves 8 entrees for every 5 desserts.
In this case it should be noted that:
40 / 25 = 8 / 5
64 / 40 = 8 / 5
The correct options are A and E.
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How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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Patrick borrows $1400 from a bank with 10% simple interest each year. How much will patrick need to pay back in total in 2 years?.
Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Given data ,
Let the principal amount be = A
The value of A = $ 1400
Let the rate of interest be = r
The value of r = 10 %
Let the number of years = T
The value of T = 2 years
Now , the simple interest is calculated by the formula
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Substituting the values in the equation , we get
Simple Interest = ( 1400 x 10 x 2 ) / 100
Simple Interest = 14 x 20
Simple Interest = $ 280
Therefore , the simple interest in 2 years is $ 280
And , the total amount Patrick has to give back to the bank is given by the formula
Amount in 2 years = Principal + Interest
Amount in 2 years = 1400 + 280
Amount in 2 years = $ 1680
Therefore , the amount in 2 years is $ 1680
Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280
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regular expressions r and s. describe algorithm verify l(r) = l(s)
To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:
Construct the finite automata for r and s.
Convert both the finite automata to their corresponding deterministic finite automata (DFA).
Minimize the DFAs obtained in step 2.
Compare the minimized DFAs to check if they are equivalent.
If the DFAs are equivalent, then the languages of r and s are also equal.
Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:
Convert both r and s to their equivalent minimal deterministic finite automata (DFA).
Construct the product DFA of the two DFAs obtained in step 1.
Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.
If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).
Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.
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I HAVE 5 MINS PLZ HELP!
Please help me on this!
Answer:
The original value of the car.
Step-by-step explanation:
The 21,500 would be the a value of the function, as it is before the parentheses. The a value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.
f(x)= x g(x)=x+1 graph f/g
Answer:
Step-by-step explanation:
x
(f/g)(x) = -----------
x + 1
Notice that x cannot be -1, which would lead to division by zero. Thus, x = -1 is the vertical asymptote. Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.
Draw a set of x-y axes and graph y = 1 and x = -1. Plot (0, 0). Again, note that the graph of this function never touches/crosses x = -1. So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases. For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).
As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
A square playground has an area of 400 square feet. What is the length of each side of the playground
Answer:
i believe the answer is 100
Step-by-step explanation:
i divided it by 4
I apologize if this answer is wrong
have a nice day
The length of each side of the playground is 20 ft.
What is a Square?
Square in geometry is a special kind of rectangle with four equal sides and four right (90°) angles.
Given is a square playground has an area of 400 square feet.
Area of square playground = 400 ft².
Area of square is given by square of the length of its sides. If 'a' is the side of a square, then mathematically we can write -
A [S] = a²
Using the formula discussed above -
a² = 400
a = √400
a = 20 ft
Therefore, the length of each side of the playground is 20 ft.
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do blood-building drugs help brain development in babies born prematurely? researchers randomly assigned 53 babies, born more than a month premature and weighing less than 3 pounds, to one of three groups. babies either received injections of erythropoietin (epo) three times a week, darbepoetin once a week for several weeks, or no treatment. results? babies who got the medicines scored much better by age 4 on measures of intelligence, language, and memory than the babies who received no treatment.how many different treatments were there and what principle of experimental design does that address?
There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.
What is a treatment?In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.
In the case presented, there are three treatments:
Erythropoietin (epo) three times a week.Darbepoetin once a week for several weeks.No treatment.What principle of experimental design does that address?Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.
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a man can hit his target 25% of the time if he fires 4 shots in succession what is the probability that he will hit his target
The probability that the man will hit his target at least once in 4 shots is calculated using the complementary probability of him missing all 4 shots. Since he hits his target 25% of the time, he misses it 75% of the time.
The probability of missing all 4 shots is (0.75)^4 = 0.3164.
Now, to find the probability of hitting the target at least once, subtract the probability of missing all shots from 1:
1 - 0.3164 = 0.6836 or 68.36%.
So, the probability that the man will hit his target at least once in 4 shots is approximately 68.36%.
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find the distance between the points (3,-8) and (-2,-1)
Answer: √74
Step-by-step explanation: Let's start with the distance formula, shown below.
Now simply substitute the values into the formula, my work is below.
The distance between these two points is √74.
A model of Pythagorean Theorem is shown below. Based on the
information in the model, which equation represents the
Pythagorean theorem?
A. 1442 + 252 = 1692
B. 122 + 52 = 132
169
square
units
C. 12 + 5 = 13
144
square
units
D. 132 + 52 = 122
25
square
units