1.74/-0.06 is -29.
You can use your calculator next time. Its easier than using points.
Write an expression for the eighth partial sum of the series using summation notation
Answer:
option B
Step-by-step explanation:
9/10 + 6/5 + 3/2...........
We find the difference between the terms
[tex]\frac{6}{5} - \frac{9}{10}[/tex]
[tex]\frac{12}{10} - \frac{9}{10} = \frac{3}{10}[/tex]
We will get the same difference when we subtract consecutive terms.
so , d= 3/10, a= 9/10
we find the formula for nth term
a_n = a+(n-1) d
[tex]a_n = \frac{9}{10} + (n-1)\frac{3}{10}[/tex]
[tex]a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}[/tex]
[tex]a_n = \frac{6}{10} +\frac{3}{10}n[/tex]
[tex]a_n = \frac{3}{5} +\frac{3}{10}n[/tex]
we need to find eighth partial sum so we take n=1 to 8
sum of 8 terms ([tex]\frac{3}{5} +\frac{3}{10}n[/tex])
So option B is correct
The eighth partial sum of a series, denoted as S8, sums up the first 8 terms in the series. In summation notation, it can be expressed as S8 = Σ_[k=1]^8 a_k.
Explanation:In mathematics, specifically in series and sequences, the notation for the eighth partial sum of a series is denoted by S8. Here the numeral 8 indicates the number of terms in that partial sum which is 8 in this case. The general formula for the sum of an arithmetic series is S_n = n/2 * (a + l) where n is the number of terms, a is the first term, and l is the last term.
If the terms of the series are denoted by a_k where k=1,2,3,... is the index of the term, the eighth partial sum of a series can be written in summation notation as:
S8 = Σ_[k=1]^8 a_k
This means that the eighth partial sum is the sum of the first 8 terms of the series.
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equation using the quadratic fromula for 0.05x^2 + 1.1x = 250
Answer:
x=60.56, x=-82.56
Step-by-step explanation:
Solve using quadratic formula
Formula is
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
0.05x^2 + 1.1x = 250
Subtract 250 on both sides
0.05x^2 + 1.1x - 250=0
a= 0.05, b=1.1 , c=-250
Plug in the values in the formula
[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]
[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]
Now make two equations , one with + and one with -
then we solve for x
[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]
x=60.56
[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]
x=-82.56
The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]
To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:
1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).
2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
3. Substitute the coefficients into the formula and calculate the solutions for \(x\).
The final answer will provide the values of \(x\) obtained from the quadratic formula.
1. Identify the coefficients:
- \(a = 0.05\)
- \(b = 1.1\)
- \(c = -250\)
2. Apply the quadratic formula:
[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]
3. Calculate the solutions for \(x\):
[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]
[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]
A line of best fit was drawn for 10 data points. What is the maximum number of these data points that may not actually be on the line
Answer: 10
If the line is a perfect fit, then all 10 points are on the same straight line. On the other side of the spectrum, we could have all 10 points not on the line but close enough to it. If the points are too scattered randomly, or they fit a non-linear curve better, then a linear regression line is a bad idea. You can use a correlation coefficient to determine how best the linear fit is.
Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.25 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20
Step-by-step explanation:
Plz mark brainliest :3
three students ordered wings that cost $21 and french fries for 6$. If they split the bill equally how much did each student pay
The total is $21 + $6 or $27.
There are 3 students.
Let p = how much each student will pay
p = $27 ÷ 3 students
p = $9
Each student will pay $9.
The answer is $9 each
Need help on both problems.
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
25/2
Step-by-step explanation:
Answer:
a= 1/2m+25
Step-by-step explanation:
As the statement says that Sophie pays for one half of the cost of the car rental (m) and that she spent $25 on gasoline, the expression that could be used to determine the amount that she spent would be equal to the sum of one half of the cost of the car rental plus 25:
a= 1/2m+25
a= amount Sophie spent
m= cost of the car rental
Please help me with #8
I think the answer might be J 3(-4) since there are 3, -4 jumps.
If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
Answer:
[tex]\frac{(L x M)}{6}[/tex]
Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.
The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.
We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.
As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.
We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.
[tex]\frac{(L x M)}{6}[/tex]
Which statement is correct?The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic.
The enthalpy of the reaction is –184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is exothermic.
The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic because in an exothermic reaction, heat is released to the surroundings, leading to a decrease in enthalpy.
Explanation:The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic. Enthalpy is a measure of the total energy of a thermodynamic system. If the enthalpy decreases during a reaction (negative sign), it implies that heat has been released to the surroundings, which is characteristic of an exothermic reaction. On the other hand, an endothermic reaction absorbs heat from the surroundings, leading to an increase in enthalpy (positive sign).
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The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. When enthalpy of a reaction is negative, it means the energy is being released to surroundings, indicating an exothermic reaction.
Explanation:The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. In chemistry, when the enthalpy of a reaction is negative, it indicates that the reaction is exothermic. Exothermic reactions release energy in the form of heat to the surroundings. Thus, if the enthalpy of the reaction is -184.6 kJ, it means the reaction is releasing 184.6 kJ of energy to its surroundings making it an exothermic reaction. In contrast, endothermic reactions absorb heat energy from the surroundings, indicated by a positive enthalpy.
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What is 9.3x 10^34/ 3.1 x 10^17 in scientific notation? Thanks.
Answer:
Yee it's the second one I took the edge test don't worry I"m right even tho I have wrong grammar
Step-by-step explanation:
What is the equation of a line with slope −23 and a y-intercept of −4 ?
A. y=−23x−4
B. y=23x+4
C. y=−4x−23
D. y=4x−23
Answer:
its A
Step-by-step explanation:
the y intercept would be -4 and the slope would be -23, put it in y=mx+b form
Final answer:
The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.
Option A is correct.
Explanation:
The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.
537 people attended a $100 dollar a plate fund raising dinner for the Nscc foundation. how much money did this dinner raise?
Answer:
$53,700
Step-by-step explanation:
If we have 537 people coming and paying $100 each, we multiply 537 and $100
537 * $100
$53,700
A merchant travels with 269 pounds of silver goods, 167 pounds of fruit, and 51 pounds of herbs, but only has 11 camels to carry everything. How many pounds of goods does each camel have to carry and how many goods are left over?
pounds each and
pounds of goods left over
Answer: The number of pounds each camel have to carry=44 pounds
The pounds of goods left=3 pounds
Step-by-step explanation:
The total pounds of goods the merchant have=[tex]269+167+51[/tex]
=487 pounds
The total number of camels the merchant have = 11
If each camel carry same weight of goods, then we divide total weight by 11, we get
487÷11=44.27
The number of pounds each camel have to carry=44 pounds
The pounds of goods left=487-44×11=487-484=3 pounds
Rearrange the formula P = 2(l + b) to solve for b.
Answer:
p= 2l+2b
Step-by-step explanation:
distribution
Answer:
P = 2 * 1 + 2 * B
Step-by-step explanation:
This equation needs to be written using the distributive property:
A (B + C) = A * B + A * C
Put in the numbers:
P = 2 (1 + B)
=
P = 2 * 1 + 2 * B
Best Of Luck,
- I.A. -
List 3 values that would make this inequality true 3n < 18
For [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.
To solve the inequality 3n < 18, we need to find values for ( n ) that make the inequality true. Here are three such values:
n = 0 , n = 1 , n = 2
Let's go through the detailed calculation step-by-step:
Starting with n = 0:
Plug n = 0 into the inequality:
[tex]\( 3(0) < 18 \)[/tex]
Simplify:
[tex]\( 0 < 18 \)[/tex]
Since ( 0 ) is less than ( 18 ), this statement is true.
Next, n = 1 :
Plug n = 1 into the inequality:
[tex]\( 3(1) < 18 \)[/tex]
Simplify:
[tex]\( 3 < 18 \)[/tex]
Again, this statement is true.
Finally, [tex]\( n = 2 \)[/tex]:
Plug [tex]\( n = 2 \)[/tex] into the inequality:
[tex]\( 3(2) < 18 \)[/tex]
Simplify:
[tex]\( 6 < 18 \)[/tex]
This statement is also true.
Therefore, for [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.
Which of the following is the binomial factor in the factorization of m ^15 - 1,000?
m5 - 10
m5 + 10
m5 + 100
m3 + 10
[tex]Use\ (a^n)^m=a^{nm}\ and\ a^3-b^3=(a-b)(a^2+ab+b^2).\\\\m^{15}=m^{5\cdot3}=(m^5)^3\\\\m^{15}-1,000=(m^5)^3-10^3=(m^5-10)[(m^5)^2+(m^5)(10)+10^2]\\\\=(m^5-10)(m^{10}+10m^5+100)\\\\Answer:\ \boxed{m^5-10}[/tex]
Final answer:
The binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000 is [tex]m^{5}[/tex] - 10
Explanation:
To find the binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000, we should recognize this expression as a difference of two powers. Both [tex]m^{15}[/tex] and 1,000 (which is the cube of 10, or 103), can be written as a power of their respective bases. We can factor this expression using the difference of cubes formula, which states that [tex]a^{3}[/tex] - [tex]b^{3}[/tex] = (a - b)([tex]a^{2}[/tex] + ab + [tex]b^{2}[/tex]). Applying this formula, we look for a cube of m that matches one of the options provided. The closest match here is [tex](m^{5})^3[/tex] [tex]-10^{3}[/tex], which gives us the factor of ([tex]m^{5}[/tex] - 10). Therefore, the binomial factor is [tex]m^{5}[/tex] - 10.
A market buys mixed nuts at $15 per pound. They want to make a $20 profit.what would you pay for 1 pound of nuts?
Answer:
We need to sell the nuts at 35 dollars to make $20 profit
Step-by-step explanation:
Profit = Selling price - cost
We know we want a 20 dollar profit
The cost of the nuts is 15 dollar
Substitute this in
20 = Selling price -15
Add 15 to each side
20+15 = Selling price -15+15
35 = Selling price
We need to sell the nuts at 35 dollars to make $20 profit
A bag contains 10 green marbles and 4 yellow marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two green marbles?
Answer:There is high probability that getting two green marbles.
Step-by-step explanation:
Can someone help. Please
Answer:
Answer below Please give brainliest!!
Step-by-step explanation:
Sue Black: 8x5=40 hours 40 x $6.75 = $270
Jerry Atrix: 7.25 + 3 + 6.75 + 8 + 5 = 30 hours
30 x $5.15 = $154.50
Sam Ting: 7.75 x 5 = 38.75 hours
38.75 x $8.75 = 339.0625 = $339.06
bring the fraction a/a−4 to a denominator of 16−a^2
really do appreciate this thx
Answer:
-a(a+4)/(16 - a²)
Step-by-step explanation:
a/(a - 4) Multiply by (a + 4)/(a + 4)
= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms
= a(a + 4)/(a² - 16) Multiply by -1/(-1)
= -a(a+4)/(-a² + 16) Reorder terms in denominator
= -a(a+4)/(16 - a²)
13(11-3x)-5(16-4x)/2
Answer:
The simplified version of this would be (63 - 19x)/2
Step-by-step explanation:
In order to find this, we first distribute the numbers outside of the parenthesis.
13(11-3x)-5(16-4x)/2
143 - 39x - 80 + 20x/2
Then we combine like terms
(63 - 19x)/2
The speed of light is 3x10^5 kilometers per second. What is that in standard form?
The standard form of speed of light is 300000 kilometers per second
What is standard form?Here the standard form means converting the given expression to the simple expression .
How to find what is the standard form of 3x10^5 ?10^5 can be written as 100000So, 3x10^5 can be written as 3 x 100000
By multiplying we get 300000
So, the standard form of speed of light is 300000 kilometers per second
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Annalisa uses 2/3 cup of all purpose flour and 1/2 cup of whole wheat flour to make pancakes how many cop of flour does she use altogether
Answer:
Annalisa uses 7/6 cups altogether.
Step-by-step explanation:
First you find common denominators for both fractions, which is 6, then convert the fractions to the denominator 6.
You get 3/6+4/6.
The answer is 7/6!
Which expression is equivalent to 1 -2/3 -3
Answer:
-8\3
Hope That Helps!
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours. Let x be the maximum speed of the plane and y be the speed of the wind. What is the speed if the plane with no wind?
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
d = 1720x = plane's speedy = wind speedt1 = 5 hourst2 = 4 hours.Substitution
d = (x + y) * t1720 = (x + y) * 41720 = (x - y) * 5Since the two distances are the same, you can equate the right hand sides.
(x + y) * 4 = (x - y)*5 Remove the brackets.4x + 4y = 5x - 5y Add 5y to both sides4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.4x + 9y = 5x Subtract 4x from both sides9y + 4x - 4x = 5x - 4x Combine9y = xNow use one of the given equations with the distance
1720 = (x + y)*4 Substitute 9y for x1720 = (9y + y) * 4 Combine1720 = 10y * 4 Multiply the right1720 = 40y Divide by 401720/40 = 40y/40 Do the division43 = y y = wind speek9y = x x = 9*y 9*43 = x x = 387 miles per hour.What function is graphed below?
Answer: y = 2x^4
The graph represents a parabolic-looking shape so it's either a quadratic or some even degree polynomial. This rules out y = -2x^3 and y = 2x^3 as they are cubics with odd degrees
The degree of a polynomial is the largest exponent. It determines the end behavior. In this case, both ends are rising upward together. Because they are rising up in the positive y direction, this means that we cannot have y = -2x^4 as the answer. For example, if x = 2 then y = -2*x^4 = -2*2^4 = -32, but the point (x,y) = (2,-32) isn't on the blue curve. So we can rule y = -2x^4 out.
The fact that y = 2x^4 has a positive leading coefficient tells us that the endpoints point upward.
30 Points!!! Remember show your work!
Answer:
see explanation
Step-by-step explanation:
(a)
1.2² = 1.2 × 1.2 = 1.44
(b)
2³ + 17 - 3 × 4 ← evaluate exponent and multiplication before adding/subtracting
= 8 + 17 - 12 = 25 - 12 = 13
(c)
9² ÷ 3³ ← evaluate exponents before dividing
= 81 ÷ 27 = 3
Answer:
a = 1.44
b = 21.6
c = 3
Step-by-step explanation:
a is 1.44 because 1.2 × 1.2 = 1.44
b is 21.6 because 2 × 2 × 2 = 8 so it is 8 + 17 - 3.4 which is 21.6
c is 3 because 9 × 9 = 81 and 3 × 3 × 3 = 27 so 81 ÷ 27 = 3
Write the equation of the given circle.
center (1, -5)
radius of 10
Answer:
[tex](x-1)^2+(y+5)^2=100[/tex]
Step-by-step explanation:
The equation of a circle has the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.
Our equation center is (1.-5) and radius is 10.
[tex](x-1)^2+(y--5)^2=10^2[/tex]
[tex](x-1)^2+(y+5)^2=100[/tex]
need help asap.pls and thanks
Answer:
your speed is 135 mph
Step-by-step explanation: