What is the simplified form of the expression? x8 - 2y10 - 5x5
What is the sum of the series? ∑ i=1 5 4i Enter your answer in the box.
Answer:
the answer IS 60
Step-by-step explanation:
The sum of the given series [tex]\sum 4i[/tex] is 60.
What do you mean by the sum of the series?A series can have a sum of each term of the series tends to zero but there are some series in which has each term tends to be zero and do not have a sum.
5
[tex]\sum 4i[/tex] = 4 × 1 + 4 × 2 + 4 × 3 + 4× 4 + 4 × 5
i=1 = 4 + 8 + 12 + 16 + 20
= 60
Hence, the sum of the series [tex]\sum 4i[/tex] is 60.
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3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit on the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.
Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9
The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.
I hope this helps!
The equations described in this problem are:
t + u = 9
10t + u = 10u + t - 9
When the two equations are substituted and solved, t = 4 and u = 5.
The original number described in the word problem is 45.
Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $156.00. What is her rate per hour?
I = $1,200 * 8/100 * 240/360 =
Answer:
$ 64
Step-by-step explanation:
I=$ 1200×8/100×240/360
Which could also be written as:
I=
[tex]1200\times \dfrac{8}{100}\times \dfrac{240}{360}\\ \\= 12\times 8\times \dfrac{24}{36}\\ \\=12\times 8\times \dfrac{2}{3}\\ \\=4\times 8\times 2[/tex]
=$ 64
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?
2π ft
3π ft
6π ft
9π ft
Answer:
The correct answer is 2π ft.
Step-by-step explanation:
Verified by correct test results.
The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the hypotenuse is 20ft more than five times the length of the shorter leg. find the side lengths of the triangle.
This problem can be solved by creating and solving a quadratic equation based on the Pythagorean theorem. We denote the length of the shorter leg as 'x', and substitute '5x+19' and '5x+20' as lengths of the longer leg and hypotenuse in the theorem.
Explanation:The entire problem revolves around the application of the Pythagorean theorem, which in a right-angled triangle gives the relationship a² + b² = c², were a and b are the lengths of the shorter sides (legs) and c is the length of the longest side (hypotenuse).
Let's denote the length of the shorter leg as 'x'. From the problem, we know that the longer leg is 5x+19 and the hypotenuse is 5x+20. Using the Pythagorean theorem, we have:
((5x+19)² + x²) = (5x+20)².
You can solve this equation to find out the value of 'x', following which you can substitute this value back into 5x+19 and 5x+20 to find lengths of the longer leg and hypotenuse.
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SOMEONE HELP ME PLEASE?????????????????????????????????????????????????
Which sentence contains a punctuation error?
One-quarter cup of chocolate chips does not seem like enough.
She is a well known basketball player.
This well-known recipe is the one I always use for oatmeal cookies.
He bakes loaves of the best-tasting bread we have ever eaten.
Thanks for helping.
Anna is buying trim to go around her rug. Her rug measures 54 inches by 42 inches. How many inches of trim will Anna need to buy
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
Answer:
B on Edge 2020
Step-by-step explanation:
(-2,2)
Melinda rents paddle boats down at the pier. She uses 5.5 feet of nylon rope to tie off each boat. She started with 80 feet of rope. After securing all the boats, she was left with more than 3 feet of rope. How many boats did Melinda tie off?
Answer: Less than 14
Step-by-step explanation: My teacher helped me on this problem and i got less then 14 and i submitted it and it was right i really this helped
What is the length of the segment with endpoints (-3,4) and (5,4)?
Mary had some cookies.she gave 2/9 of them to matthew and ate 1/3 of them. she had 8 cookies left. how many did she have at first?
Mary originally had 18 cookies. This is determined by creating and solving a ratio based on the fractions of cookies Mary had left after giving some away and eating some.
Explanation:The subject of this question is mathematics and it involves fractions. We can think of Mary's original number of cookies as 1 whole or 100%. We're told she gave away 2/9 of them and ate 1/3 of them, which means she hasn't touched 1 - 2/9 - 1/3 of the cookies.
First, we calculate the common denominator, which is 9. So, we must convert 1/3 to 3/9. Now, we have 1 whole - 2/9 - 3/9. This addition simplifies to: 9/9 - 2/9 - 3/9 = 4/9.
The 4/9 is equal to the 8 cookies she has left over. To find the original amount of cookies, we set up the following ratio: 4/9 = 8/x. Solve this ratio for x (which represents Mary's original number of cookies) by cross multiplying: 4x = 72. Divide both sides by 4 to get: x = 18 cookies.
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What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?
Please tell me the answer if you absoulutley know it
The unit used to measure an angle is called
What is the constant of proportionality in the equation 2y=6x
The constant of proportionality in the equation 2y = 6x is [tex]\( \frac{1}{3} \)[/tex].
In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):
[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]
This simplifies to:
[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]
So, the constant of proportionality is [tex]\(1/3\)[/tex], indicating that for every unit increase in x, y increases by [tex]\(1/3\)[/tex].
PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11
4/15 divided by 8/25
(100+ POINTS)
A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x.
Time (minutes), x 0 1 2 3
Temperature (F°), y 200 150 112.5 84.375
Which function can be used to represent the relationship shown in the table?
y = (0.75) x
y = 0.75(200) x
y = 200(-0.75) x
y = 200(0.75) x
y = 200 * (0.75) ^ x
Scott viewed 72 classic cars at a car show.Of the cars he viewed,3/8 were sports cars. How many sports cars did Scott view
What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)
Answer:
-3/2
Step-by-step explanation:
The line shown has slope ...
... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3
The slope of the perpendicular line is the opposite of the reciprocal of this:
... -1/(2/3) = -3/2
In the regular nonagon shown, what is the measure of angle x?
an athlete is training to run a marathon. she plans to run 2 miles the first week. she increases the distance by 8% each week. which function models how far she will run in the nth week?
Isabella jump rope is 2.03 meters long. Avery jump rope is 0.15 meters shorter than Idabellas jump rope. Measures in meters, what is the length of Averys jump rope?
a medication is supplied in a mixture that contains 7.5 mg of medication per millimeter of solution. the dosage rate is 10.0 mg of active ingredient per kilogram of body weight. calculate the number of millimeters of medication that should be given to a patient weighing 187 lb.
The sum of 2 numbers is 80. The ratio of the numbers is 3 to 5. Find the large number
What is the length of BB' ?
The price has changed from $120 to $75. by how many percent did it change?
The price has changed by 37.5% from $120 to $75.
Explanation:To find the percentage change, we can use the formula:
Percentage change = ((new value - old value) / old value) * 100
In this case, the old value is $120 and the new value is $75. Plugging these values into the formula, we get:
Percentage change = (($75 - $120) / $120) * 100 = (-$45 / $120) * 100 = -0.375 * 100 = -37.5%
Therefore, the price has changed by 37.5%.
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The percentage change in price from $120 to $75 is calculated by subtracting the initial price from the final price, dividing the result by the initial price, and then multiplying by 100. The price has decreased by 37.5%.
Explanation:The question involves calculating the percentage change in price. To do this, you start by subtracting the final price ($75) from the initial price ($120) to determine the difference. In this case, the difference is $120 - $75 = $45. This represents the total change in price.
To find out the percentage change represented by this difference, you divide the difference ($45) by the original price ($120) and then multiply the result by 100 to convert it to a percentage. This can be represented by the formula:
((Final Price - Initial Price) / Initial Price) x 100.
So, the percentage change would be calculated as follows: ((120 - 75) / 120) * 100 = 37.5%. Therefore, the price has decreased by 37.5%.
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In a circle with radius 4 cm the diameters AC and BD are perpendicular to each other. Prove that ABCD is a square. Find the area of ABCD.