Answer
455
Step-by-step explanation:
(1×1) + 1 = 2
(2×2) + 2 = 6
(6×3) + 3 = 21
(21×4)+4 = 88
(88×5)+5 = 445
Answer:
445
Step-by-step explanation:
1 · 1 + 1= 2
2 · 2 + 2 = 6
6 · 3 + 3 = 21
21 · 4 + 4 = 88
88 · 5 + 5 = 445
1) There are 8 college basketball teams in a certain
Sub-Division
How many ways are there to choose 6 teams for the playoffs?
There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.
To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by
nCr = n! / (r! * (n-r)!),
where n represents the total number of teams and r represents the number of teams to be chosen.
In this case, n = 8 and r = 6.
Plugging in these values, we have
8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.
Therefore, there are total 28 ways to choose 6 teams.
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which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
On certain highways the speed limit is 75 mph, at this rate how far would you travel in 2.5 hours.
Answer:
187.5mph
Step-by-step explanation:
If 1 hour= 75mph
what about 2.5 hours
you cross multiply
A national science foundation in a certain country collects data on science and engineering (S&E) degrees awarded and publishes the results in a journal. During one year, 72.1% of S&E degrees awarded were for Bachelor's degrees and 35.1% of S&E degrees were Bachelor's degrees awarded to women. What percentage of S&E Bachelor's degrees were awarded to women?
The percentage of S&E Bachelor's degrees awarded to women is also 25.31%.
To find the percentage of S&E Bachelor's degrees awarded to women, follow these steps:
Step 1: Calculate the total number of S&E Bachelor's degrees awarded to women.
If 35.1% of S&E degrees are Bachelor's degrees awarded to women, and we know that 72.1% of S&E degrees are Bachelor's degrees, we can set up a proportion:
Step 2: Solve for the percentage of S&E Bachelor's degrees awarded to women.
To solve for the percentage, simply multiply both sides of the equation by 72.1%:
Percentage of S&E Bachelor's degrees awarded to women = 35.1% * 72.1%
Step 3: Calculate the percentage.
Percentage of S&E Bachelor's degrees awarded to women = 0.351 * 0.721 = 0.253071
Step 4: Convert the decimal to a percentage.
0.253071 * 100 = 25.31%
So, 25.31% of S&E Bachelor's degrees were awarded to women.
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Kevin was accepted to college and is making plans for next year's budget. He anticipates getting a part-time job and making about $80 a week. In addition, his federal grants will be about $3,000 per semester. What is his income expected to be during the 36-week school year?
Answer:
Kevin's income is expected to be:
$8,880.
Step-by-step explanation:
Income from part-time job = $80 a week
For 36 weeks, he will earn $2,880 ($80 * 36)
Federal grants = $3,000 per semester
For semesters = $6,000 ($3,000 * 2)
Total income = income from part-time job plus the Federal grants
= $8,880 ($2,880 + $6,000)
The implication is that Kevin cannot spend above $8,880 towards his college education, unless he has another source of support during the year. Otherwise, he may resort to borrowing, via college loans.
What is the probability of a blue jay being the next bird papa sees?
Answer:
A) 0.421
Step-by-step explanation:
\(\frac{59}{59+68+12+1} =\frac{59}{140}\)
\(Answer:0.421\)
----------------------
hope it helps...
have a great day!!
Five friends have the following birthdays: January 18, April 19, April 29, May 11, and May 21. List
the months of the birthdays in set notation.
The months of the birthdays in set notation are { January, April, May }
In mathematics, sets are collections of discrete objects or elements.
Set notation describes the many symbols used while navigating between and within sets. The curly brackets symbol is the most basic way to express a set's elements. A = a, b, c, and d is an illustration of a set.
The birthdays of the five friends are January 18, April 19, April 29, May 11, and May 21.
There are two types of ways in which we can write in set notation.
Set Builder form : M = x, x is the birthday month of the group members}Interval Notation: The months of the birthdays in set notation are { January, April, May }To know more about set notation, visit https://brainly.com/question/28276299
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2 The density of a substance can be determined
by finding the unit rate that compares mass to
volume. A nugget of gold has a mass of
463.2 grams and a volume of 24.0 milliliters.
What is the density of gold?
F 11,116.8 g/mL
G 439.2 g/mL
H 0.052 g/mL
J 19.3 g/mL
Answer:
88888
Step-by-step explanation:
6201005050
Solve the following LP formulation and determine the number of Surplus units in constraint B.
SOLUTION
From the what is given
\(\begin{gathered} x+y\le5 \\ x\ge3 \\ 2y\le8 \\ x\ge0 \\ y\ge0 \end{gathered}\)We have the graph as shown below
We are told that the MAX is
\(5x+2y\)Substituting these required points into the equation, our maximum becomes
\(\begin{gathered} 5x+2y \\ \text{For (3, 2)} \\ 5(3)+2(2)=15+4=19 \\ \text{For }(3,\text{ 0)} \\ 5(3)+2(0)=15+0=15 \\ \text{For (5, 0)} \\ 5(5)+2(0)=25+0=25 \end{gathered}\)We can see that the maximum is 25 at for units of 5, that is x = 5
But we are told in (B) that
\(x\ge3\)Hence the surplus unit is
\(5-3=2\)Hence the answer is 2
The graph of y=3x is shown. What is the value of x when y=27?
A. 2
B. 3
C. 9
D. 24
It said c was wrong
Answer:
x = 3
Step-by-step explanation:
Is x an exponent?
\( y = 3^x \)
\( 27 = 3^x \)
\( 3^3 = 3^x \)
\( x = 3 \)
The Haitian Revolution was the first, of many, successful slave uprisings in history.
A) True
B) False
Please help me with this question!
Coordinates
-18 + 19½ = 1½?
37½
Step-by-step explanation:
(18 × 2) + 1½ = 37½
Using the side splitter theorem, which segment length would complete the proportion?
As per the side splitter theorem, the segment length would complete the proportion is GJ
In math, the side splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".
Here we have to find the segment length that would complete the proportion by using the side splitter theorem.
According to this theorem and by using the following diagram, we can elaborate the following proportion
=> GH/HE = GJ/JF
Here we have identifies that the segment that completes the proportion is GJ, because it must be used according to the theorem.
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Michael invests $2,600 into a certificate of deposit (cd). If he earns 4.5% interest, how long will it take for him to earn $234 in simple interest?
Answer:
2 years
Step-by-step explanation:
Step one:
Given Information
Principal= $2600
rate = 4.5%
SImple interest = $234
Required
The time T of the investment
Step two:
the expression for simple interest is
\(SI= PRT/100\)
substitute
\(234= 2600*4.5*T/100\)
cross multiply we have
\(234*100= 2600*4.5*T\\\\23400= 11700T\\\\\)
divide both sides by 11700
\(23400/11700= T\\\\T= 2 years\)
Draw your own triangle given the indicated measures and solve for the other parts using Sine Law. Write an explanation in each line of your solution. 1.
By applying the Sine Law and rearranging the equation, we can determine the missing parts of the triangle and solve for angles and sides.
We will draw a triangle based on the given measures and then use the Sine Law to solve for the other parts. The Sine Law relates the measures of angles and sides in a triangle.
Let's assume we have a triangle with sides a, b, and c, and angles A, B, and C, respectively. To solve for the other parts using the Sine Law, we need at least one side and its corresponding angle.
Suppose we are given side A and angle A. We can draw the triangle accordingly. The side opposite angle A will be labeled "a," and angle A will be opposite side a.
Next, we can use the Sine Law, which states that the ratio of a side length to the sine of its opposite angle is constant. The Sine Law can be expressed as:
a/sin(A) = b/sin(B) = c/sin(C)
With this information, we can solve for the other parts of the triangle. If we are given side A and angle A, we can use the Sine Law to find the ratios of the other sides to their corresponding angles.
By rearranging the Sine Law equation, we can solve for the unknown sides or angles. For example, to find side b, we have:
b = (a * sin(B)) / sin(A)
Similarly, we can find side c using:
c = (a * sin(C)) / sin(A)
And we can find the other angles using the inverse sine function:
B = sin^(-1)((b * sin(A)) / a)
C = sin^(-1)((c * sin(A)) / a)
By applying the Sine Law and rearranging the equation, we can determine the missing parts of the triangle and solve for angles and sides.
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Will mark as brainliest if correct
Answer:
X = 1.09
Step-by-step explanation:
6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.
Answer:
the answer is 7
Step-by-step explanation:
log10(6x)=log10(7)
x•log10(6)=log10(7)
x = log10(7)/log10(6)
this works because of
logb(x y) = y ∙ logb(x)
I figured this out from the internet!!
source:TigerAlegbra
evaluate 3.8^1.1 and (5/7) round answers to the nearest 10th
Answer:
4.30 and 0.70 if you round of to the nearest tenth
Step-by-step explanation:
pls mark as brainliest lol
Elizabeth bought 8 chicken wings for $10.40. How much does each wing cost?
Answer: $1.30
Step-by-step explanation:
Divide 10.40 by 8
Answer:
$1.30
Step-by-step explanation: Give me ur sn ap
Quadrilateral ABCD is a rectangle. BE=3x−7 and AC=8x−20. What is BE?
The length of the segment BE is 2 units.
What is the rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
Quadrilateral ABCD is a rectangle.
BE=3x−7 and AC=8x−20.
E is the intersection point of the diagonals.
So,
AC/2 = BE
(8x−20)/2 = 3x−7
4x - 10 = 3x - 7
x = 3
So, BE = 2
Therefore, BE = 2 units.
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A garden is 5 yards 12 inches wide and 4 yards long. Write the ratio of the width to the length as a fraction in simplest form
Answer:
3 yards 12 in = 3 yards 1 ft = 3x3 ft + 1ft = 9 ft + 1 ft = 10 ft = 120 in
5 ft = 5 x12 in = 60 in
120 in / 60 in = 2
2 to 1 ratio
Step-by-step explanation:
3 yards 12 in = 3 yards 1 ft = 3x3 ft + 1ft = 9 ft + 1 ft = 10 ft = 120 in
5 ft = 5 x12 in = 60 in
120 in / 60 in = 2
2 to 1 ratio
Peter attempted to use the divide-center method to find the line of best fit on a scatterplot. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 4 points to the left of the line, and 6 points to the right. What was his mistake? He had a different number of points to the left of the vertical line than to the right of the vertical line. He had a different number of points above the line of best fit than below the line of best fit. He didn’t approximate the center of the cluster located on the left side of the vertical line and of the cluster located on the right side of the vertical line. He didn’t connect the centers of the clusters on the left side and right side of the vertical line to produce the line of best fit.
Answer:
The Answer Is A(He had a different number of points to the left of the vertical line than to the right of the vertical line.
Step-by-step explanation:
I just took the test :D
Answer: the answer is A hope this helps...
I need help please i don't get this.
Answer:
22
Step-by-step explanation:
Points Y and X are are the midpoints of the segments HI and HG respectively.
Therefore,
By Mid-segment formula:
IG = 2*YX = 2* 11 = 22 units
PLEASE HELPPP!!!
Harvey is solving an equation. His work is shown below.
5x + (5r + 9) = 57
(5r + 5x) + 9 = 57
10r + I= 57
Which statement describes the procedure Harvey used in his work and which property justifies the procedure? in
C A. Harvey regrouped the terms to add 5x and 5x. This procedure is justified by the associative property.
B. Harvey regrouped the terms to multiply 5x and 5x by 9. This procedure is justified by the associative property.
C. Harvey regrouped the terms to add 5x and 5x and 9. This procedure is justified by the commutative property.
D. Harvey regrouped the terms to multiply 5x and 5x. This procedure is justified by the commutative property.
The procedure Harvey used in his work was regrouping the terms to add 5x and 5x and 9. This procedure is justified by the associative property.
The correct statement describing Harvey's procedure is C: Harvey regrouped the terms to add 5x and 5x and 9. This procedure is justified by the associative property of addition.
In Harvey's work, he combined the like terms 5x and 5x, which is represented as (5r + 5x) + 9. By using the associative property of addition, Harvey regrouped the terms as 5r + (5x + 9), which simplifies to 5r + 5x + 9. The associative property states that the grouping of numbers being added or multiplied does not affect the sum or product. In this case, regrouping the terms does not alter the value of the equation and allows for easier simplification and solving.
Therefore, Harvey's procedure of regrouping the terms to add 5x and 5x and 9 is justified by the associative property of addition.
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A machine has 28 identical components which function independently. The probability that a component will fail is 0.19 . The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.
By definition of a binomial random variable, the probability that the machine will be working is 0.82045.
Definition of probabilityFirst of all, you should know that the Probability is the greater or lesser possibility that a certain event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Definition of random variableOn the other hand, a random variable is a function that associates a real number, perfectly defined, to each sample point.
A random variable is discrete if the numbers it gives rise to are integers.
Definition of binomial distributionFinally, a binomial distribution is a discrete probability distribution that describes the number of successes in performing n independent experiments on a random variable.
The expression to calculate the binomial distribution is:
P(X=x)=(\(n\\ x\)) pˣ qⁿ⁻ˣ
Where:
n = Number of trials/experimentsx = Number of successesp = Probability of successq = Probability of failure (1-p)Remember that:
(\(n\\ x\))=\(\frac{n!}{x!(n-x)!}\)
where the exclamation mark represents the factorial symbol, that is, the product of all positive integers from 1 to n.
Probability that the machine will be workingA machine has 28 identical components which function independently. The probability that a component will fail is 0.19.
The following random variable is defined:
x= the number of components will stop working.
Being n the total number of pieces (in this case, 12 pieces) and p the probability of success (the piece fails, in this case 0.19), the expression to be used is expressed as:
P(X=x)=(\(12\\ x\)) 0.19ˣ (1-0.19)¹²⁻ˣ
P(X=x)=\(\frac{12!}{x!(12-x)!}\) 0.19ˣ (0.81)¹²⁻ˣ
Since the machine will stop working if more than three components fail, you need to know the probability that the machine will be working if 3 or less than 3 components fail. In other words, it may be that 0, 1, 2 or 3 pieces are broken and the machine continues to work:
P(X≤3)= P(X=0) + P(X=1) + P(X=2) + P(X=3)
Then:
P(X≤3)= \(\frac{12!}{0!(12-0)!}\) 0.19⁰ (0.81)¹²⁻⁰ + \(\frac{12!}{1!(12-1)!}\) 0.19¹ (0.81)¹²⁻¹ + \(\frac{12!}{2!(12-2)!}\) 0.19² (0.81)¹²⁻² + \(\frac{12!}{3!(12-3)!}\) 0.19³ (0.81)¹²⁻³
Solving:
P(X≤3)= \(\frac{12!}{0!12!}\) ×1×(0.81)¹² + \(\frac{12!}{1!11!}\) 0.19×(0.81)¹¹ + \(\frac{12!}{2!10!}\) 0.19²×(0.81)¹⁰ + \(\frac{12!}{3!9!}\) 0.19³×(0.81)⁹
P(X≤3)= 1×1×(0.81)¹² + 12×0.19×(0.81)¹¹ + 66×0.19²×(0.81)¹⁰ + 220×0.19³×(0.81)⁹
P(X≤3)= (0.81)¹² + 2.28×(0.81)¹¹ + 2.3826×(0.81)¹⁰ + 1.50898×(0.81)⁹
P(X≤3)= 0.82045
Finally, the probability that the machine will be working is 0.82045.
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Create an expression that is equivalent to x + 2
Answer:
2 + x
2 + (x)
x + (2)
Step-by-step explanation:
Switch them around.
You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Answer:
It will take 40 minutes for me to make the 360 wraps that I need.
9x ≥ 360 ⇒ x ≥ 40
Step-by-step explanation:
I have to make at least 360 wraps for a party.
I can make 9 wraps per minute.
So, it will take minutes for me to make the 360 wraps that I need.
If I work for x minutes to make wraps, then I will be able to make 9x wraps.
So, the inequality that models the given condition is
9x ≥ 360
⇒ x ≥ 40 {Dividing both sides by 9}
Therefore, I need to work at least 40 minutes to reach my goal. (Answer)
Step-by-step explanation:
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds. Use 3.14 as an approximation for pie, and give a numerical answer.
Answer:
3.764
Step-by-step explanation:
just try matgs is a tough de partoeConsider the following function. f(x) = ex x8 (a) find the intervals of increase or decrease. (enter your answers using interval notation.)
The interval of increase for the function f(x) = ex x8 is (0, ∞).
To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.
Let's find the derivative of f(x) with respect to x:
f'(x) = (ex x8)' = ex x8 (8x7 + ex)
To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).
Setting f'(x) > 0, we have:
ex x8 (8x7 + ex) > 0
The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:
8x7 + ex > 0
Now, we solve for x:
8x7 > 0
Since 8 is positive, we can divide both sides by 8 without changing the inequality:
x7 > 0
The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.
The function f(x) = ex x8 increases in the interval (0, ∞).
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help me please!!!! i need it now its due today!
Answer:
18.852ft
Step-by-step explanation:
The distance covered will be the circumference of the circle.
C=πD
π=3.142
D=6ft
C=3.142*6
C=18.853ft
Hi , please help !
( see image!)
First image, using statistics,
a) The modal number of peas in a pod = 6.
b) The median number of peas in a pod = 6.
c) The mean number of peas in a pod = 6.
Second image
a) 42
80
91
40.5
b) Mean of the data here = 2.56
Define mean, median and mode?The mean, median, and mode are three examples of central tendency measurements that can be used to analyse various characteristics of a given set of data. A measure of central tendency places a single value at the centre of a set of data when describing it. It is possible to conceptualise it as the tendency of the data to cluster around a median value. The three statistical measures of central trends that are most frequently used are mean, median, and mode.
Now here in the question,
Modal number of the number of peas in a pod is the pod with the highest frequency, = 6.
Median number of peas in a pod is the middle value of the data when arranged in an order, = 6.
The mean number of peas in a pod = 4+5+6+7+8/5
= 6
Now in the next question,
f(x) = x × f
So, the table is as follows:
1.5 × 28 = 42
2.5 × 32 = 80
3.5 × 26 = 91
4.5 × 9 = 40.5
Now, mean of the data = (2.5 + 42 + 80 + 91 + 40.5)/100
= 256/100
= 2.56
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