Answer:
The nth term can be represented by;
Tn = 5n- 1
Step-by-step explanation:
In this question, we are concerned with finding an expression in terms of n for then the term of the sequence.
Mathematically, the nth term of a sequence Tn can be represented by the formula;
Tn = a + (n-1)d
where a is the first term in the sequence which is 4 , and d is the common difference which is the difference between 2 consecutive terms which is 9-4= 5
our n is n, since we do not know the number of terms we are finding for
Plugging these values, we have;
Tn = 4 + (n-1)5
Tn = 4 + 5n -5
Tn = 5n- 1
A rectangular cabinet is 5 feet long, 2 feet wide, and 3 feet tall. What is the surface area of the cabinet? Please help
Answer:
62 ft.
Step-by-step explanation:
Multiply 2(width)(length)+ 2(length)(height)+ 2(height)(width)
The students in Darnel's grade voted to select a guest speaker. 20 students voted for a famous athlete. If there are 100 students in Darnel's grade, what percentage of the students voted for the athlete?
Answer:
20% of the students voted for the athlete
Step-by-step explanation:
The proportion of students who voted for athlete is the number of students who voted for the athlete divided by the total number of students.
The percentage is the proportion multiplied by 100.
We have that:
20 students voted for the athlete.
Total of 100 students.
20/100 = 0.2
0.2*100 = 20%
20% of the students voted for the athlete
what binomial is a factor of x2+6x+5
Answer:
factored is (x+1)(x+5)
Step-by-step explanation:
gradpoint
The binomials (x + 1) and ( x + 5 ) are factors of the quadratic expression of x² + 6x + 5.
What are the factors of the quadratic expression?Given the quadratic expression in the question:
x² + 6x + 5
To find the binomials that are factors of the quadratic expression x² + 6x + 5, we have to factorize the quadratic expression.
The binomials will be in the form of (x + a)(x + b).
x² + 6x + 5
Now, factorizing the expression, consider a pair of integers, "a" and "b," such that their sum is 6 and their product is 5.
The integers that satisfy these conditions are 1 and 5.
Hence, plug them in:
(x + a)(x + b)
( x + 1 )( x + 5 )
Therefore, the factors of the expression are ( x + 1 ) and ( x + 5 ).
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A monster pupcake is supposed to bake for 35 minutes.If luna said to take it out of the oven at 3:20 when did she put them in?
Answer:
she put them in at 2:45
Step-by-step explanation:
because 35 minutes before 3:20 is 2:45
Answer:
3:00
Step-by-step explanation:
A cylinder with radius 5 units is shown below. It’s volume is 157 cubic units.
Answer: 2 units
Step-by-step explanation:
Volume = π r² h
157 = π (5)² h
h = 157 ÷ 25π
h = 2 units.
Simplify this expression with only positive exponents.
Answer:
[tex]\frac{2x}{y^{-1}}=2xy[/tex]
Step-by-step explanation:
To simplify the expression [tex]\frac{2x}{y^{-1}}[/tex] you must:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}\\\\y^{-1}=\frac{1}{y}\\\\\frac{2x}{y^{-1}}=\frac{2x}{\frac{1}{y}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\\frac{2x}{\frac{1}{y}}=\frac{2xy}{1}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{1}=a\\\\\frac{2xy}{1} = 2xy[/tex]
Therefore,
[tex]\frac{2x}{y^{-1}}=2xy[/tex]
The radius of a circle is 15 inches.
What is the area of the circle, in square inches? Round your answer to the nearest tenth and use 3.14 for pi.
Answer:
706.86 in^2
Explanation:
formula for a circle: [tex]\pi r^{2}[/tex]
Answer:
706.9in²
Step-by-step explanation:
A= πr^2
what is two times 57 plus two raised to the power of 63?
Answer:
1.150411783 E130
Step-by-step explanation:
pls pls pls help me i would appreciate if u do pls
A bag contains 4 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
The probability of drawing two red marbles is approximately 16.7%.
Explanation:To find the probability of drawing two red marbles from the bag, we need to find the probability of drawing one red marble and then, given that the first marble was red, drawing another red marble. The probability of drawing a red marble on the first draw is 4/9 (since there are 4 red marbles out of a total of 9 marbles). After the first marble is drawn, there are now 8 marbles left in the bag, including 3 red marbles.
Therefore, the probability of drawing a red marble on the second draw, given that the first marble was red, is 3/8. To find the probability of both events occurring, we multiply the probabilities: (4/9) × (3/8) = 1/6, or approximately 16.7%.
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The probability of drawing 2 red marbles without replacement from a bag containing 4 red, 3 blue, and 2 green marbles is 16.7%.
Explanation:The question is asking for the probability of drawing two red marbles from a bag that contains 4 red marbles, 3 blue marbles, and 2 green marbles, without replacing the first one drawn.
Firstly let's figure out the total number of ways to draw 2 marbles from a bag of 9 marbles. Using combination formula, the total number of possible ways is: 9C2 = 36.
Now, how many ways can you draw 2 red marbles from 4? That will be: 4C2 = 6 ways.
So the probability of drawing 2 red multiplies, without replacement, is therefore 6 / 36 = 0.167 or 16.7% when rounded to the nearest tenth of a percent.
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Eliana has two different cube-shaped packing boxes. The first box has a surface area of 384 in.2, and the second box has a surface area of 6,144 in.2. How many times greater is the side length of the larger box than that of the smaller box?
The side length of the larger box is 4 times larger than that of the smaller box.
What is a cube?A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
We are given that Eliana has two different cube-shaped packing boxes.
Since first box has a surface area of 384 in.2, and the second box has a surface area of 6,144 in.2.
Then the surface area of first box = 6( edge)^2
384 = 6 x ( edge)^2
( edge)^2 = 64
( edge) = 8
Similalry;
Then the surface area of second box = 6( edge)^2
6,144 = 6 x ( edge)^2
( edge)^2 = 1024
( edge) = 32
therefore, 32/8 = 4
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What is the median?
Answer:
-4.5
Step-by-step explanation:
Order this from least to greatest.
-8, -6, -5, -4, -3, -3
find the middle.
median = (-5 + -4)/2 = -9/2 = -4.5
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{-3 + -8 + -4 + -3 + -5 + -6}{6}}[/tex]
[tex]\mathsf{-3 + -8 + -4 + -3 + -5 + -6}[/tex]
[tex]\mathsf{= -3 - 8 - 4 - 3 - 5 - 6}[/tex]
[tex]\mathsf{-3 - 8 = \boxed{\large\textsf{\bf -11}}}[/tex]
[tex]\mathsf{ -11 - 4 - 3 - 5 - 6}[/tex]
[tex]\mathsf{-11 - 4 = \boxed{\large\textsf{\bf -15}}}[/tex]
[tex]\mathsf{-15 - 3 - 5 - 6}[/tex]
[tex]\mathsf{-15 - 3 =\boxed{\large\textsf{\bf -18}}}[/tex]
[tex]\mathsf{-18 - 5 - 6}[/tex]
[tex]\mathsf{-18 - 5 = \boxed{\large\textsf{\bf -23}}}[/tex]
[tex]\mathsf{-23 - 6}[/tex]
[tex]\mathsf{= \boxed{\large\textsf{\bf -29}}}[/tex]
[tex]\mathsf{= \dfrac{-29}{6}}[/tex]
[tex]\mathsf{= \boxed{-4.83333333333}}[/tex]
[tex]\boxec{\boxed{\large\textsf{Answer: \bf -4.83333333333 or }\mathsf{\bf \dfrac{-29}{6}\large\textsf{ both should work they both}}}}\\\boxed{\large\textsf{equal the same thing!}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
find the length of ab round to the nearest hundredth with 8 meters and 140 degrees white circle NO ARC LENGTH
Answer:What is the Radius? Diameter?
Step-by-step explanation:
Answer:
19.5 is the correct answer.
Step-by-step explanation:
what is the answer for this question y/15 = 8 plz help fast
There is a bag filled with 6 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting exactly 1 red?
The probability of getting exactly 1 red marble is 60/121.
Given data:
To find the probability of getting exactly 1 red marble, we need to consider the two possible scenarios:
Getting a red marble on the first draw and a blue marble on the second draw.
Getting a blue marble on the first draw and a red marble on the second draw.
The probability of getting a red marble on the first draw is 5/11, since there are 5 red marbles out of a total of 11 marbles in the bag.
The probability of getting a blue marble on the second draw is also 6/11, since we replace the marble after the first draw, so the number of marbles remains the same.
The probability of the first scenario occurring is (5/11) * (6/11) = 30/121.
Similarly, the probability of the second scenario occurring is (6/11) * (5/11) = 30/121.
To find the total probability of getting exactly 1 red marble, we add the probabilities of these two scenarios:
Total probability = (30/121) + (30/121)
= 60/121.
Hence, the probability of getting exactly 1 red marble is 60/121.
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The probability of drawing exactly one red in two draws, considering the order, is the sum of the two scenarios: 'red then blue' and 'blue then red'. Here, the total probability is calculated as (5/11 * 6/11) + (6/11 * 5/11).
Explanation:The question presented falls under the concept of probability in Mathematics. We have a bag with 6 blue and 5 red marbles. A marble is chosen, its color is recorded, and then it is put back in the bag before another marble is chosen. Thus, the color of the first marble selected does not have any influence on the color of the second marble because of replacement.
To get the probability of drawing one red marble in two attempts, we can consider two possibilities: either the first draw is red and the second is blue, or the first draw is blue and the second is red.
Scenario 1: The first marble drawn is red and the second marble drawn is blue. The probability of drawing a red marble on the first attempt is 5/11, since there are 5 red marbles out of a total of (6+5)=11 marbles. After replacing the first marble, the probability of drawing a blue marble on the second try is 6/11. Therefore, the total probability for this possibility is the product of both individual probabilities: (5/11) * (6/11).
Scenario 2: The first marble drawn is blue and the second marble drawn is red. The probability is calculated in the same manner resulting into (6/11) * (5/11).
Finally, to get the total probability of drawing exactly one red marble in two draws, we add the probabilities for the two scenarios: (5/11 * 6/11) + (6/11 * 5/11).
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how to find volume of the cylinder
Answer:
cbjkjcghuugchbcguygcbvyc
A poll is given, showing 45% are in favor of a new building project.
If 3 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?
The probability of exactly 1 person favoring the new building project out of 3 people chosen at random is approximately 0.4083, or 40.83%.
Use the concept of probability defined as:
Probability is the ratio of the number of favorable outcomes to the total number of outcomes for the occurrence of an event.
Given that,
A poll was conducted on a new building project.
The results of the poll represent 45% of the respondents were in favor of the new building project.
To calculate the probability that exactly 1 person favoring the new building project out of 3 people chosen at random:
Use the binomial probability formula:
[tex]P(X=k) = (^nC_k) p^k (1-p)^{(n-k)}[/tex]
Where P(X=k) is the probability of getting exactly k favorable responses, and n is the total number of people chosen.
In this case, n = 2,
k is the number of favorable responses, in this case, 1,
p is the probability of an individual favoring the new building project in this case, 0.45,
And (1-p) is the probability of an individual not favoring the new building project in this case, 0.55.
Now substitute the values into the formula:
[tex]P(X=1) = (^3C_1) (0.45^1) (0.55^{(3-1)})[/tex]
Calculating the values:
[tex]^3C_1 = 3[/tex]
(which represents the number of ways to choose 1 favorable response out of 3 people),
[tex]0.55^{(3-1)} = 0.3025.[/tex]
Substituting these values back into the formula:
P(X=1) = (3)(0.45)(0.3025)
Calculating further:
P(X=1) = 0.4083
Hence,
The probability of exactly 1 person favoring the new building project out of 3 people chosen at random is approximately 0.4083, or 40.83%.
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Final answer:
The probability of exactly 1 out of 3 individuals favoring a new building project is 40.35%.
Explanation:
The probability of a person favoring a new building project is 45%.
To find the probability that exactly 1 out of 3 chosen individuals favor the project, we use the binomial probability formula:
Calculate the probability of 1 person favoring the project: 0.45 * 0.55 * 0.55 = 0.1345
Calculate the number of ways 1 person can be chosen out of 3: 3 choose 1 = 3
Multiply the two results: 3 * 0.1345 = 0.4035
Therefore, the probability that exactly 1 out of 3 individuals favor the new building project is 0.4035 or 40.35%.
Which of the following is a geometric sequence?
0, 2, 6, 12, 72,
0 1 2 3 4 5
23'4'5'6
4.9, 14, 19, 24,..
1.3. 9. 27. 81
Answer:
1, 3, 9, 27, 81, ...
Step-by-step explanation:
right on edg
What’s the missing length
Answer:
a=9in
Step-by-step explanation:
Pythagoreans Theorem
a^2+5.6^2=10.6^2
a^2+31.36=112.36
a^2=81
(take square root of both sides)
a=9
70% of 90 please give right answerrr
Answer: 63
Step-by-step explanation: To find 70% of 90, first write 70% as a decimal by moving the decimal point two places to the right to get .70.
Next, the word "of" means multiply, so we have (.70)(90) which is 63.
So 70% of 90 is 63.
What is the value of k for the inverse variation
function?
k=
DONE
Answer:
19,800
Step-by-step explanation:
Answer:
k=19800
k represents the number of gallons of water needed to fill the pool
third is y=19800/x
Step-by-step explanation:
Which equation can be used to find the unknown length, b, in this triangle?
Answer:
use pythagorean theorem
Step-by-step explanation:
a^2+b^2=c^2
Answer:
4²+b² = 5²
Step-by-step explanation:
got it right on edge
In a herd of cattle, the ratio of the number
of bulls to cows is 1:6.
Find the number of bulls in terms of x.
Final answer:
The number of bulls in a herd with a bull-to-cow ratio of 1:6 is one-seventh of the total number of animals in the herd, represented as x/7.
Explanation:
In the scenario where the ratio of the number of bulls to cows is 1:6, we can express the number of bulls in terms of x, where x represents the total number of animals in the herd.
Let's define the number of bulls as B and the number of cows as C. Given the ratio B:C = 1:6, for every 7 animals in the herd (1 bull + 6 cows), there is 1 bull.
To find the number of bulls in terms of x, we divide the total number of animals by the sum of the parts of the ratio (1+6=7). So, the formula to find the number of bulls (B) is:
B = x / 7
Therefore, if x is the total number of animals in the herd, the number of bulls is one-seventh of x.
What is the area of triangle PQR? Triangle P Q R has a base of 86 inches and a height of 52 inches. 1,118 square inches 2,236 square inches 2,322 square inches 3,870 square inches
Answer:
2,236 square inches
Step-by-step explanation:
A=86*52/2=2,236 square inches
The area of triangle PQR which has a base of 86 inches and a height of 52 inches is 2,236 square inches.
What is the area of a triangle?The area of the triangle is the space occupied by it on the two-dimensional plane. The area of the triangle is half of the product of its base and height.
[tex]A=\dfrac{1}{2}bh[/tex]
Here, (b) is the base of the triangle and (h) is the height.
Triangle PQR has
A base of 86 inches A height of 52 inches.Put these values in the above formula to find the area of the triangle PQR as,
[tex]A=\dfrac{1}{2}(86\times52)\\A=2236\rm\; in^2[/tex]
Hence, the area of triangle PQR which has a base of 86 inches and a height of 52 inches is 2,236 square inches.
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a model train has a scale of 1 in: 7 ft. If the real train is 14 ft. tall, how tall is the model train?
Answer:
2 in.
Step-by-step explanation:
14/7=2
PLEASE HELP ME :(
Find the surface area of the cone. *
Answer:
A≈597.62
Step-by-step explanation:
A=π r l + π [tex]r^{2}[/tex]
l=[tex]\sqrt{r^{2} +h^{2} }[/tex]
The cable company is analyzing data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded. Satellite Company X : 89 live, 430 recorded Satellite Company Y : 65 live, 94 recorded What is the probability that a randomly selected customer from Company Y watches recorded shows more often than live television? Give your answer in percent form rounded to the nearest whole percent.
Answer:
59%
Step-by-step explanation:
The information from Satellite Company Y is:
65 people watch live and 94 people watch recorded.
The total number of people from Y is:
65 + 94 = 159
So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):
Probability = 94 / 159 = 0.5912 = 59.12%
Rounding to nearest whole percent, we have 59%
Answer:
59%
Step-by-step explanation:
I got 100%
What is the unit price for $175 for 4 concert tickets?
Answer:
Answer: Each ticket cost $63
Step-by-step explanation:
The Reyes family bought 4 tickets
The total cost is $252
So that means you have to divide $252 by the amount of tickets bought which is 4
$252÷4=$63
Answer:
$43.75
Step-by-step explanation:
175/4= 43.75
What is the slope of the line y=4x-2 ?
Answer:
4
Step-by-step explanation:
The slope will always be x's coefficient, or the number attached to x.
That's slope intercept form y = mx + b, where m is the slope, so we just read off the answer.
Answer: 4
Simplify the expressions (with work please)
1. 4 - (-3)
2. 1/6 + 7/12
3. 0.24 - 1.6
4. 2 3/5 x (-4/3)
5. -24 divided by 3.2
Answer:
Read below. Answers are bolded for you.
Step-by-step explanation:
1. 4-(-3)=4+3=7 (a negative and a negative is a positive)
2. 1/6 + 7/12=[tex]\frac{2}{12} +\frac{7}{12} =\frac{9}{12} =\frac{3}{4}[/tex] or 3/4
3. 0.24 - 1.6= -1.36
4. 2 3/5 x (-4/3)= [tex]2 \frac{3}{5} * -\frac{4}{3} =\frac{13}{5} *-\frac{4}{3} =-\frac{52}{15} =-3\frac{7}{15}[/tex] or -3 7/15
5. -24÷3.2=-7.5
Answer:
1. 7
2. 0.75
3. -1.36
4. -52/15
5. -7.5
Step-by-step explanation:
1. 4 - ( -3 ) = 4 + 3 = 7
2. 0.166 + 0.583 = 0.749 (round to the nearest hundredth) 0.75
3. 0.24 - 1.6 = 0.24 + -1.6 = -1.36
4. 13/5 * (-4/3) (easiest to multiply as not mixed fractions) = -52.15
-24 / 3.2 (think about -24 / 3 = -7 and -24 / 0.2 = -0.5 (-7 + -0.5)) = -7.5
I hope this helps lots! ^^