Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
Below is the graph of a trigonometric function. It has a minimum point at (- 10.4, - 9.8) and a maximum point at (- 3.6, - 1.2) . What is the period of the function?
Answer:
13.6
Step-by-step explanation:
The period is double of the distance (on the x-axis) between the maximum and the minimum. In this case, the x-coordinate of the minimum is -10.4, the x-coordinate of the maximum is -3.6, the distance is -3.6 - (-10.4) = 6.8, and the period is 2*6.8 = 13.6
Answer:
Step-by-step explanation:
4.3 unit from by khan academy
What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer: x=1.77
Step-by-step explanation:
A P E X
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?
Answer:
cx + cy = a² + b²
Step-by-step explanation:
Next step is adding up cx and cy:
cx + cy = a² + b²Then followed by:
c(x+y) = a² + b²c² = a² + b²Answer: cx + cy = a² + b²
Step-by-step explanation:
If you answer can you write how you solved it?
Answer:
[tex]145.3in^2[/tex]
Step-by-step explanation:
[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]
Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.
Answer:
12 dollars
Step-by-step explanation:
Round the bill to the nearest ten dollars
81.66 rounds to 80 dollars
80 * 15%
80 *.15
12
The tip is 12 dollars
Answer:
81.66/100*115 = 93.909 rounding down to $90
Step-by-step explanation:
which one isn’t a function ?
Answer:
D isn't a function because points intersect vertically on the graph
Step-by-step explanation:
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answer:
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
Step-by-step explanation:
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
which of the following are properties of the circumference of a triangle
Answer:
angle, length height
Step-by-step explanation:
The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.
A blueberry bush was 13 inches tall. One year later, the bush was 25 inches tall.
Which number sentence shows how many inches the bush grew in one year?
Answer:
12 inches
Step-by-step explanation:
25-13=12
(How much it grew in the last year.)
answer with work pls!!
What is the output or waste of the cellular respiration cycle?
Answer: The outputs, or products, of cellular respiration are water and carbon dioxide
Explanation: The inputs, or reactants, of cellular respiration are glucose and oxygen. The outputs, or products, of cellular respiration are water, carbon dioxide
What is the distance between (6, 2) and (-3,-2)?
09
03
O V97
05
Answer:
√ 97
Decimal Form:
9.84885780 …
Which figure has an orthocenter outside the triangle? A triangle has angle measures of 30, 75, and 75 degrees. A triangle has angle measures of 54, 56, and 74 degrees. A triangle has angle measures of 45, 110, and 25 degrees. A triangle has angle measures of 90, 48, and 42 degrees. plzzzz help
Answer:
A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.
Hope this helps!
:)
Answer:
The Third option is correct.
Step-by-step explanation: just got it right on edge
(x+4)−(x−1)
HELPPPP
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Answer:
There is no plug-in for x.
X=0.
(0+4) - (0-1) = [(4 - (-1)] = 5.
Answer:
5
Step-by-step explanation:
(x+4) -x +1
x - x = 0
5
−8⋅f(0)+4⋅g(−8)=
Please help
Answer:
-32
Step-by-step explanation:
Look at the attachment
Functions can be represented as equations and graphs.
The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
From the graph, we have the following values.
[tex]\mathbf{f(0)= 1}[/tex]
[tex]\mathbf{g(-8)= -6}[/tex]
So, we have:
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]
Simplify
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]
Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
Read more about functions and equations at:
https://brainly.com/question/3468890
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
Solve the problem in the image above
Answer:
Step-by-step explanation:
3[tex]x^{4}[/tex]
Answer: 9 √(3^x6)
Step-by-step explanation:
Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + C = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ3
Which is the angle measure represented by 2 rotations counterclockwise?
a. -1080°
C. 1080°
b. -720°
d. 720°
6 cm
4 cm
3 cm
12 cm
What’s the purple? Areas
Answer:
36 cm
Step-by-step explanation:
A = b1 + b2 x h / 1/2
A = 12 + 6 x 4 / 1/2
A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answer:
D
Step-by-step explanation:
D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
What is the surface area of a cone with a radius of 3 meters and a slant of 4
Answer:
A≈65.97m²
Step-by-step explanation:
A=πrl+πr2=π·3·4+π·32≈65.97345m
1 gal 3 c= _fl oz
Convert the unit of capacity
Answer:
152 fluid ounces
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon. there are 24 fluid ounces in 3 cups. 128+24 is 152. :)
When 50 pounds of a compound are produced, the manufacturing cost is described by x
and the selling price is described by x^2 + 8x - 20.
What is ratio of the cost to the selling price when x = 50?
Answer:
45
Step-by-step explanation:
y
1. What side in the second trapezoid corresponds to CD?
choices:
RU
ST
TU
RS
2. What angle in the second trapezoid corresponds to B?
choices:
T
S
U
R
Answer:
1...ut
2..s
Step-by-step explanation:
you can see that the trapezium ABCD is talented than you are St trapezium so then from the ABCD trapezium Appa what then you can see a De is parallel to you are and ab is parallel to AC and DC is parallel parallel to T s and a De is parallel to ur
Answer:
1. UT
2. S
Step-by-step explanation:
1. parallel sides of the first trapezoid are DC and AB, the last being the longest
so the answer is
UT, which is shorter base
2. B is the right angle
so S is the one on the second trapezoid
A right angle is equal to how many angles
Answer:
90 degrees
A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).
Step-by-step explanation:
Answer:
3 angles
Step-by-step explanation:
there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
Line segments AB and BC are tangents to Circle P. What is the value of x?
a.117
b.73
c.107
d.146
Answer:
c. 107°
Step-by-step explanation:
In the figure attached, Circle P, segments AB and BC, and angle x are shown.
From circumscribed angle theorem, we know that angle ABC and angle x are supplementary, then:
x + 73° = 180°
x = 180° - 73°
x = 107°
