Answer: seventy-eight million
Step-by-step explanation:
seventy eight million four thousand / setenta y ocho million cuatro mil
¿ x³ + x² ?
urgente, necesito esto!!!
Step-by-step explanation:
x³+x²x²(x+1)hope it helps.
stay safe healthy and happy..Answer:
\( {x}^{2} (x + 1)\)
Step-by-step explanation:
\( {x}^{3} + {x}^{2} \)
\( {x}^{2} x + {x}^{2} \)
\( {x}^{2} x + {x}^{2} \times 1\)
\( {x}^{2} (x + 1)\)
Hope it is helpful....x^2 + 12 =3 solve, give exact solution(s) no rounding or decimals
Answer:0
Step-by-step explanation:
otato salad costs $1.96 per lb. You have $3.00 to spend on potato salad and a pack of cookies. The pack of cookies costs $.69. Select the inequality below that describes the highest number of pounds of potato salad that you can buy for this situation.
1.18 kilograms is the maximum amount of potato salad that may be purchased in a single transaction and stay within the budget
What is inequality?Generally, The inequality that describes the highest number of pounds of potato salad that you can buy is:
1.96p + 0.69 \(\leq\) 3.00
where p is the number of pounds of potato salad.
To solve this inequality, you can start by subtracting 0.69 from both sides to get:
1.96p \(\leq\) 2.31
Then, you can divide both sides by 1.96 to get:
p\(\leq\) 1.18
So, the highest number of pounds of potato salad that you can buy is 1.18 pounds.
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Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully inflated? [Round to nearest tenth.]
A) 83.8 cm3
B) 251.4 cm3
C) 1676.2 cm3
D) 33,493.3 cm3
Answer:
D) 33,493.3 cm3
Step-by-step explanation:
We know that
The volume of the sphere (beach ball) is equal to
\(V=\frac{4}{3} \pi r^{3}\)
we have
\(r=20cm\)
substitute
\(V=\frac{4}{3}\pi (20^{3} )=33,493.3 cm^{3}\)
Answer:
D
Step-by-step explanation:
V=\(\frac{4}{3}\) π \(r^{3}\)
r=20 cm
V= \(\frac{4}{3}\)π(\(20^{3}\))= 33,493.3 \(cm^{3}\)
STT 1.3 Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement. Her final position
A is postive
B Is negative
C Could be either positive or negative
Sarah's final position would be negative. Therefore, option B is the correct answer.
Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.
A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.
Therefore, option B is the correct answer.
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a drawer has ten blue, ten white, and ten red socks. without looking at them you pull some socks out. what is the least number of socks you need to pull to ensure you get two pairs of matching socks? justify your answer.
Answer:
The answer is 7 socks.
Step-by-step explanation:
To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.
You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.
Omar ran for president of the chess club, and he received 28 votes. There were 35 members in the club. What percentage of the club members voted for Omar?
Answer:
i like the name omar
Step-by-step explanation:
it sounds different...
The difference of two trinomials is x square - 10x+2. If one of the trinomials is 3x squared -11x-4, then which expression could be the other trinomial?
Answer:
4x²+21x-2
(OR)
2x²-x-6
Step-by-step explanation:
According to the Question,
Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.
Let, Two Trinomials are P(x) = A & Q(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
A - (3x²-11x-4) = x²-10x+2
A = x²-10x+2 + (3x²-11x-4)
A = x²-10x+2 + 3x²-11x-4
A = 4x²+21x-2
(OR)
If we Let, Two Trinomials are Q(x) = A & P(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
(3x²-11x-4) - A = x²-10x+2
A = 3x²-11x-4 - (x²-10x+2)
A = 3x²-11x-4 - x²+10x-2
A = 2x²-x-6
Which statement about sutter’s work are true?
Answer:
good question
Step-by-step explanation:
go to google i guess
Answer:
The one that was listed. Unlike the ones on this question.
Step-by-step explanation:
Have
a
good
day
:)
Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
The correct option is Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction
Emanuel did a mistake in her first step by taking negative sign twice.
What is multiplicative rule with different sign ?Positive results are obtained if the sign are same. If the signs disagree, the outcome is adverse. Addition: Keep in mind that a signed number's magnitude and absolute value are the same.
Multiplication and division appear to be more difficult than addition and subtraction, but they are actually far less challenging. The result of multiplying two positive or two negative numbers with the same sign, according to the rule, will always be positive.
For instance:
8 x 4 = 32(-8) x (-4) = 3210 x 9 = 90(-10) x (-9) = 90According to question,
= \(\left(\frac{3}{5}\right)\left(\frac{4}{9}\right)\left(-\frac{1}{2}\right)\)
Emanuel found the solution, but she erred in the first step. She incorrectly distributes the negative sign with both 1 and 2, as she should. We can write negative sign with either 1 or 2 but not both.
Correct steps are:
Step 1:
\(\frac{(3)(4)(-1)}{(5)(9)(2)}\)
Step 2:
\(\frac{-12}{90}\)
Step 3:
\(-\frac{2}{15}\)
Therefore, the step 1 was miscalculated by Emanuel.
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The complete question is -
Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction
Step 3 StartFraction 12 over 90 EndFraction
Step 4 StartFraction 2 over 15 EndFraction
In which step did his first error occur?
Find b for the following right angled triange where a=5 and c=13
Find the measure of the missing angles.
b =
C=
Answer:
Angle C and Angle B 61 degree as Angle 119 is supplementary to angle B and C (180-119=61)
what is 3 and 1/6 as an improper fraction
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer
(1) Determine the convergence of the series ∑[infinity]
n=1
(−1)n
4n.
(2) Determine the convergence of the series ∑[infinity]
n=1
n(−1)n
3.5n.
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:
1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)
This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\) satisfies the following conditions:
1. The terms \(b_n\) are positive and decreasing for all n.
2. The limit of \(b_n\) as n approaches infinity is zero.
In our case, \(b_n = 1/(4n)\). Let's check the conditions:
Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.
Condition 2: Let's calculate the limit of b_n as n approaches infinity:
\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.
2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)
To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:
\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)
1. If L < 1, the series converges absolutely.
2. If L > 1, the series diverges.
3. If L = 1, the test is inconclusive.
In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:
\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)
\(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)
\(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)
\(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)
Taking the limit as n approaches infinity:
\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)
Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
Therefore, both series converge.
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Find the 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,...
The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is -79.
The nth term of a particular arithmetic sequence can be found by, an = a + (n – 1)d. So in order to find the nth term, substitute the given values \(a_{1}\) and d into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.
Given,
\(a_{1}\)= x-1x-1
\(a_{2}\)= 7x-77x−7
\(a_{3}\)= 13x-13
n= 14
We have to find the common difference d from differences in adjacent terms \(a_{1}\),\(a_{2}\),\(a_{3}\) . That is,
\(a_{2}-a_{1} =a_{3} -a_{2}\)
\(7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)\)
\(7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0\)
Put x=0 in x-1x-1, 7x-77x-7, 13x-13
Therefore,
\(a_{1}\) = -1
\(a_{2}\) = -7
\(a_{3}\) = -13
Then, d will be \(-7-(-1)\) or \(-13-(-7)\)
So, d= -6
Put \(a_{1}\), d, and n in the equation \(a_{n} =a+(n-1)d\) to find the 14th term.
Therefore,
\(a_{14}=-1+(14-1)-6\\ =-1-78\\=-79\)
The 14th term of the given arithmetic sequence is -79
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the half-life of zn-71 is 2.4 minutes. given you start with 50g of the material, how many minutes will pass before you have 5g left?
Before 5g left, 7.2 minutes had gone by.
How do you define time and distance?Distance, time, and speed are all related to one another in their fundamental concepts. Distance traveled by a body in a given amount of time is its speed. That is Speed = Distance / Time. Normal Speed: Normal Total distance times speed Speed: Speed = Distance x Time Distance = D. (Speed x Time) Distance multiplied by speed equals time. mass This means that it would take 7.2 minutes before you had 5 g left: 0. 502.4. 254.8. 12.57.2. 6.259.6.
Why is it known as a half-life?The amount of time it takes for a radioactive element to decay to half its original value is known as its half life. The time it takes for a source's activity to decrease to half its initial value is implied by this to be the definition of a half life.
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The ratio of children to adults at a swimming pool is 8:3. If there are a total of 110 people at the pool, how many of them are adults?
There are 30 adults in the swimming pool.
The ratio is a quantitative approach that shows the relation between two proportions.
From the given relation, the ratio of of the children to adults = 8 : 3
The total number of the ratio = 8 + 3 = 11
Given that there are 110 people in the population.
The number of adults that are there will be:
\(\mathbf{=\dfrac{3}{11}\times 110}\)
= 30 adults
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(Present value of an annuity) Determine the present value of an ordinary annuity of $4,500 per year for 16 years, assuming it earns 8 percent. Assume that the first cash flow from the annuity comes at the end of year 8 and the final payment at the end of year 23. That is, no payments are made on the annuity at the end of years 1 through 7 . Instead, annual payments are made at the end of years 8 through 23. The present value of the annuity at the end of year 7 is \$ (Round to the nearest cent.)
The present value of the annuity at the end of year 7 is approximately $47,069.08.
To calculate the present value of an ordinary annuity, we can use the formula:
PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],
where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.
Using the formula, the present value at the end of year 7 can be calculated as:
PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.
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Find the missing height of the parallelogram described. b = (x + 4) yd, (blank text) yd, (5x + 20) yd2
Answer:
5yards
Step-by-step explanation:
Area of the parallelogram = Base * Height
Given
Area = (5x+20)yd²
Base = (x+4)yd
Required
height
Substitute into the formula
5x+20 = x+4 * Height
Height = 5x+20/x+4
Height = 5(x+4)/x+4
X+4 cancels out to have;
Height = 5
Hence the height of the parallelogram is 5yards
A softball player's batting average is defined as the ratio of hits to at bats. Suppose that a player has a 0.250 batting average and is very consistent, so that the probability of a hit is the same every time she is at bat. During today's game, this player will be at bat exactly three times.
(a) What is the probability that she ends up with two hits?
(b) What is the probability that she ends up with no hits?
(c) What is the probability that she ends up with exactly three hit?
(d) What is the probability that she ends up with at most one hit?
(a) The probability of ending up with two hits is approximately 0.1406.
(b) The probability of ending up with no hits is approximately 0.4219.
(c) The probability of ending up with exactly three hits is approximately 0.0156.
(d) The probability of ending up with at most one hit is approximately 0.8438.
To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.
The probability of a hit is given by the batting average, which is 0.250.
(a) To find the probability that she ends up with two hits:
Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:
P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)
Calculating the values:
P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)
P(X = 2) = 3 * 0.0625 * 0.750
P(X = 2) ≈ 0.1406
Therefore, the probability that she ends up with two hits is approximately 0.1406.
(b) To find the probability that she ends up with no hits:
Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:
P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)
Calculating the values:
P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)
P(X = 0) = 1 * 1 * 0.4219
P(X = 0) ≈ 0.4219
Therefore, the probability that she ends up with no hits is approximately 0.4219.
(c) To find the probability that she ends up with exactly three hits:
Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:
P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)
Calculating the values:
P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)
P(X = 3) = 1 * 0.0156 * 1
P(X = 3) ≈ 0.0156
Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.
(d) To find the probability that she ends up with at most one hit:
We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.
P(X ≤ 1) = P(X = 0) + P(X = 1)
Substituting the calculated values:
P(X ≤ 1) ≈ 0.4219 + P(X = 1)
To calculate P(X = 1), we can use the binomial probability formula as before:
P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)
Calculating the values:
P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)
P(X = 1) = 3 * 0.250 * 0.5625
P(X = 1) ≈ 0.4219
Substituting back into the equation:
P(X ≤ 1)
≈ 0.4219 + 0.4219
P(X ≤ 1) ≈ 0.8438
Therefore, the probability that she ends up with at most one hit is approximately 0.8438.
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find the differential of f(x,y)= sqrt(x^3 + y^2) at the point (1,2)
The differential of f(x,y)= √(x³ + y²) at the point (1,2) is (3/2)dx + (2/√5)dy.
To find the differential of f(x,y)= √(x³ + y²) at the point (1,2), we first need to find the partial derivatives of f with respect to x and y:
∂f/∂x = (3x² / (2 √(x³ + y²))
∂f/∂y = (y / √(x³ + y²))
Then, we can evaluate these partial derivatives at the point (1,2):
∂f/∂x (1,2) = (3(1)²) / (2 √(1³ + 2²)) = 3/2
∂f/∂y (1,2) = (2) / √(1³ + 2²) = 2/√5
Finally, we can use the formula for the differential of f:
df = (∂f/∂x)dx + (∂f/∂y)dy
Substituting the values we found, we get:
df = (3/2)dx + (2/√5)dy
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which of the following give chart elements a realistic, three-dimensional look? A. axis•B. chart area•C. legend•D. plot area
The chart element that gives a realistic, three-dimensional look is D. plot area.
In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.
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PLEASE I WATED SO MUCH POINTS ON PPL GIVEING ME LINK SO PLEASE DONT GIVE LINKS
Answer:
E
Step-by-step explanation:
2^10 the square root, plz help
Answer:
32
Step-by-step explanation:
We need to find the square of 2¹⁰ .
=> √2¹⁰
We know that power of square is 1/2 .
=> 2^(10*1/2)
=> 2⁵
=> 32
\( \sqrt{ {2}^{10} } \\ = {2}^{10 \times \frac{1}{2} } \\ = {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = 32\)
Answer:32
Hope it helps.
Do comment if you have any query.
Matt’s Uncle came to visit. He brought Matt his old baseball card collection as a gift. Each page holds 9 baseball cards, and there are a total of 48 pages in the album. If each page is full, how many total baseball cards are in the album?
Make estimation.
Number sentence matches plan from L step.
Computation is correct.
Answer:
432 baseball cards
Step-by-step explanation:
If every page is full, every page has 9 cards. If there are 48 pages, there are 48 'sets' of 9 cards each. So, we must multiply 9 by 48 to get 432 as our answer.
Answer:
48÷9 = 5.333
Step-by-step explanation:
47 pages will have 5 cards on each page.
Page 48 will have 6 cards on it's page.
write the ratio 14:56 in its simpiliest form
6% of 950 is what number?
Answer:
57
Step-by-step explanation:
Answer:
57Step-by-step explanation:
6% of 950 simply means6/100 × 950= 57therefore, 6% of 950 is 576. Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 4%. Find the interest earned in 8 years. Then find the total of principal plus interest.
Answer:
$1320
Step-by-step explanation:
4%=0.04
Intrest = 0.04x8
Intrest = 0.32
Intrest = 1000x0.32
Intrest = 320
Then add 1000+320=1320
Can someone tell me what i did wrong cuz it’s wrong please will name brainliest
Answer:
the awnswer is down three
Step-by-step explanation:
you got the rest right what tip i've done is count the number of units it goes up or down by.
What is..Simplify 15.8
Answer:
simplify of 15.8 is 16
Step-by-step explanation:
please mark me as brainliest
Answer:
15 4/5
Step-by-step explanation: