Answers
Answer:
1 ) 597
2 ) 346
Step-by-step explanation:
1 )
A.P : - 15, - 7, 1, ...
Here,
a = - 15
d = - 7 - ( - 15 )
= - 7 + 15
d = 8
65th term is t65.
t65 = a + ( 65 - 1 )d
= a + 64 d
= - 15 + 64 ( 8 )
= - 15 + 512
t65 = 597
Therefore,
65th term = 597
2 )
A.P = 3, 10, 17, 24, ...
Here,
a = 3
d = 10 - 3 = 7
50th term is t50.
t50 = a + ( 50 - 1 )d
= a + 49d
= 3 + 49 ( 7 )
= 3 + 343
t50 = 346
Therefore,
50th term = 346
Answer:
65ᵗʰ Term of the sequence is 479
50ᵗʰ Term of the sequence is 346
Step-by-step explanation:
1.)Here,
First Term = a₁ = 3
Second Term = a₂ = 10
Third Term = a₃ = 17
Now,
Common Difference (d)
d = a₂ - a₁ = (-7) - (-15) = -7 + 15 = 8
d = a₃ - a₂ = 1 - (-7) = 1 + 7 = 8
Here, Common Difference is same everywhere
Now, For 65ᵗʰ term, n = 65
aₙ = a + (n - 1)d
a₆₅ = (-15) + (65 - 1) × 8
a₆₅ = (-15) + 64 × 8
a₆₅ = (-15) + 512
a₆₅ = 479
Thus, 65ᵗʰ Term of the sequence is 479
2.)Here,
First Term = a₁ = -15
Second Term = a₂ = -7
Third Term = a₃ = 1
Now,
Common Difference (d)
d = a₂ - a₁ = 10 - 3 = 7
d = a₃ - a₂ = 17 - 10 = 7
Here, Common Difference is same everywhere
Now, For 50ᵗʰ term, n = 50
aₙ = a + (n - 1)d
a₅₀ = 3 + (50 - 1) × 7
a₅₀ = 3 + 49 × 7
a₅₀ = 3 + 343
a₅₀ = 346
Thus, 50ᵗʰ Term of the sequence is 346
-TheUnknownScientist
Related Questions
Bonami High School has 82 juniors at its school. There are 29 students enrolled in Spanish class and 31 enrolled in history. There are 15 students enrolled in both Spanish and history. If a junior is selected at random to say the morning announcement at the beginning of the school day, what is the probability that it will be a student enrolled in Spanish or history?
Answers
Answer:
73%
Step-by-step explanation:
The front row in a movie theatre has 23 seats. If you were asked to sit in the seat that occupied the median position, in which seat would you have to sit?
Answers
Answer:
12
Step-by-step explanation:
The median is the one in the middle. For an odd number of seats, average the first and last seat numbers.
(1 + 23) / 2 = 24 / 2 = 12. That means there will be 11 people on your left and 11 people on your right.
For an even number of seats, the same method doesn't work as well! If there are 14 seats, for example, (1 + 14) / 2 = 15 / 2 = 7.5, and if you sit in "seat" 7 and a half, it will be awkward!
Find the volume of the cylinder as pictured below with a = 5 cm and b = 10
cm. Use 3.14 for rand round your answer to the nearest hundredth. Do not
include units in your answer.
b
a
Answers
Answer:
[tex]\huge\boxed{\mathfrak{\underline{Answer...}}}[/tex]
[tex]\small\mathfrak\red{volume \: of \: cylinder =\pi \: r {}^{2} h } \\ \\ \small\mathfrak\red{ r =5cm \: | height = 10cm } \\ \\ \small\mathfrak\red{volume \: of \: cylinder =3.14 \times 5 {}^{2} \times 10 } \\ \\ \small\mathfrak\red{volume \: of \: cylinder = 785 \: cm.cube} \\ \\ \small\mathfrak\green{hope \: it \: helps .... }[/tex]
Answer:
Step-by-step explanation:
Find the output, y, when the input, z, is -4.
y=
-8-6 -4
8
6
a f
Y
4-
2-
do
-2-
-4-
-6+
4
6/ 8
Answers
Answer:
y = 1
Step-by-step explanation:
locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 1 ), so
when input x = - 4 the output is y = 1
Figure ABCD is a parallelogram if point C lies on the line y=-1 what is the x vale of point C
Answers
The value of x of point C is 4. The coordinate of C is (4,-1).
What is the coordinate of a point?
The coordinates represent the location of a point in the 2D coordinate plane with respect to the origin. A point's x-coordinate is its perpendicular distance from the y-axis as measured along the x-axis. A point's y-coordinate is the perpendicular distance from the x-axis measured along the y-axis.
The distance between points A and B is 4 units.
The opposite sides of a parallelogram are equal and parallel.
To make parallelogram, the point C lies on the left side of point D.
The distance between point C and D must be 4 unit.
The coordinates of C is (4,-1).
The x value of point C is 4.
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Whats fifty-six thousandths in decimal form
Answers
Answer:
0.056
Step-by-step explanation:
56/1000
56 divided by 1000 = 0.056
Answer:
0.056.
Step-by-step explanation:
f(x)=x2+3 & g(x)=2x−7
1) (f−g)(x)=
2) (f⋅g)(x)=
3) (f°g)(5)=
4) (g°f)(x)=
Answers
Step-by-step explanation:
1)
f-g(x)x²+3-2x+7x²-2x+102)
f×g(x)(x²+3)(2x-7)2x³-7x²+6x-213)
fog(5)f(g(5))f(2×5-7)f(3)3²+39+3124)
gof(x)g(f(x))g(x²+3)(2x-7)²+32x²-2×2x×7+7²2x²-28x+49stay safe healthy and happy.
Kayden is deciding between two landscaping companies for his place of business.
Company A charges $55 per hour and a $125 equipment fee. Company B charges $40
per hour and a $275 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge for t hours of landscaping. Write an equation for each situation, in terms oft,
and determine which company would be cheaper if Kayden needs 13 hours of
landscaping
Answers
Answer:
A = 55t + 125
B = 40t + 275
B is cheaper for 13 hours
Step-by-step explanation:
Company A charges $55 per hour and a $125 equipment fee.
A = 55t + 125
Company B charges $40 per hour and a $275 equipment fee.
B = 40t + 275
----------------------------
For 13 hours
A = 55(13) + 125 = 840
B = 40(13) + 275 = 795
B is cheaper
Answer:
second part of the QUESTION Company B is $45 cheaper than Company A for 13 hours of landscaping.Step-by-step explanation:
40 % ply tennis 24% plays baseball 58% plays neither. If you pick a student at random what will be the probably plays both sports.
Answers
Answer:
The probability is 0.22
Step-by-step explanation:
We know that:
40% of the students play tennis
24% of the students play baseball
58% of the students play neither.
If we add these numbers, we get:
40% + 24% + 58% = 122%
Here we should get exactly 100%, but we get more because we are counting some of the students twice, and that happens because some of the students play both sports, so these students are counted in both percentages.
And we can conclude that exactly 122% - 100% = 22% of the students play both sports:
Now, the probability that a randomly picked student plays both sports, is equal to the quotient between the percentage of students that play both sports and the 100%, this is:
p = 22%/100% = 0.22
The probability is 0.22
I need help asap deadline 1600
Answers
Please help quickly this is for a big test.
ES=____ units.
Round your answer to the nearest tenth.
Answers
That would be [tex] \sqrt{113} [/tex]
Expand.
This question is worth 50 points!
Answers
Answer:
the answer is (a) x² - 2hx + h²
Step-by-step explanation:
(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)
x² - hx -hx + h²
= x² - 2hx + h²
Answer:
A) x² - 2hx + h²-----------------------------
Use the identity:
(a - b)² = a² - 2ab + b²Substitute a = x, b = h to get:
(x - h)² = x² - 2hx + h²This is the option A.
The cost of renting a boat for different
times is shown in the table below. The
relationship shown is linear.
Hours
Cost (dollars)
2
51
4
102
6
153
8
204
Which of the following is the hourly rate
for renting the boat? (8.1A, 8.18, 8.1C,
8.1E)
C $51.00
A $25.50
B $30.50
D Not here
Answers
Answer:
Step-by-step explanation:
What is the surface area?
10 yd
8 yd »
10 yd
12 yd
10 yd
Answers
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
The P-value of this test is 0.0571. What conclusion should be made?
Because the P-value of 0.0571 < α = 0.05, we reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We have convincing evidence that less than 85% of customers of this company are repeat customers.
Because the P-value of 0.0571 < α = 0.05, we reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Answers
Answer:
b. Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation:
EDGE 2021
I hope this helps!
Answer: Because the P-value of 0.0571 > α = 0.05, we fail to reject H0. We do not have convincing evidence that less than 85% of customers of this company are repeat customers.
Step-by-step explanation: EDGE 2022
HELP ASAP! I WILL GIVE BRAINLEST! I HAVENT TURNED THIS IN AND ITS DUE TOMORROW.
Find the area of the polygon.
Answers
Answer:
332m²
Step-by-step explanation:
the formatting for finding the area of the triangle is base x height x 1/2
so we need to find 8.3 x 10
8.3 x 10 = 83
83/2 = 41.5
there are 8 triangles in this shape so...
41.5 x 8 = 332
so the area of the polygon is 332m²
hope this helped!
- cheesetoasty
Answer:
Hello! answer: 332
Step-by-step explanation:
What they did was give you the height and base of a triangle in the polygon so you can find the rest because each would be equivalent to that one triangle if that makes sense...
Triangle area = base × height ÷ by 2
8.3 × 10 = 83 83 ÷ 2 = 41.5 I will multiply by 8 cause there will be 8 of those same triangles if you dont understand I advise to look at the picture I put here and 41.5 × 8 = 332 therefore the area is 332 HOPE THAT HELPS!
Haan' hitory cla i taking a field trip to the tate capitol building. The capitol building i 50 mile from Haan' chool. The cla plan to top after 45 minute, or 0. 75 hour, to view a local monument. The bu driver plan to drive at an average peed of 40 mile per hour
Answers
The class has a 45-minute, or 0.75-hour, climb to the summit planned to observe a nearby monument. The bus driver intended to travel at a steady 40 mph. Accordingly, the average speed is 0.888.
How long does it take to drive 60 miles at 40 miles per hour?The time required to travel 20 miles at 40 mph is 30 minutes, and the time required to go 40 miles is 60 minutes. The journey of 60 miles will therefore take 90 minutes. In most cases, an hour's worth of time, this will tell you the average speed.
As a result, Ben's average speed was 50 miles per hour when he covered 150 miles in 3 hours. 40m in an hour. 12 hour to cover 20 miles. In fifteen minutes, ten miles. It is determined by dividing something's total travel distance by its total journey time. Take the earlier automobile, for instance. The average speed of the vehicle would be 70 / 2 = 35 miles per hour if it covered 70 miles in two hours.
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Complete question is: Hassan's history class is taking a field trip to the state capitol building. The capitol building is 50 miles from Hassan's school. The class plans to stop after 45 minutes, or 0.75 hours, to view a local monument. The bus driver plans to drive at an average speed of 40 miles per hour. Which equation can you use to find how many hours, x, the second part of the trip will take?
all real number w that are less than 0 and greater than 19
Answers
Answer:
all negative numbers
Step-by-step explanation:
HELPPPPppPPppPpP MeEEEeEEEE PLEASEEEEeEeeEEe
Answers
Distance between each hour is constant-13 miles.
Last answer is the correct answer.
Good luck.
What is the best approximation for the area of this figure?
21+14. 5π units²
21+7. 25π units²
10. 5+7. 25π units²
10. 5+14. 5π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 5 comma negative 2 to negative 5 comma 1. Another segment extends from negative 5 comma 1 to 2 comma 1. A semicircle extends from 2 comma 1 to negative 5 comma negative 2. What is the area of this polygon?
28. 5 units²
34. 5 units²
37. 5 units²
40. 5 units²
6 sided polygon on a coordinate plane with vertices at (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2)
Answers
1) The best approximation for the area of this figure is 21+14. 5π units².
2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.
FIGURE AND POLYGON1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².
2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.
The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.
So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.
The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.
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Instructions: Find the missing length indicated.
PLEASE HELP, NO LINKS PLEASE
Answers
Answer:
PLEASE DONT DELETE
Step-by-step explanation:
I am sorry that I cant answer your problem. However, I am only answering so I can get answers to my own problems. Good luck on that problem!
helppppp plss i dont understand
Answers
The ratio of the number of report cards Ms. Wickham folded to the number that Ms. Cho folded was 2:3. At the end of the day, Ms. Leiva and Mr. Gamory folded 300 report cards. Who folded more report cards and by how many
Answers
Ms. Wickham folded 200 report cards and Ms. Cho folded 300 report cards, giving Ms. Cho an average of 100 report cards.
Ms. Wickham and Ms. Cho together folded 500 report cards.
Ms. Wickham folded 200 report cards
(200/500 = 2/5)
Ms. Cho folded 300 report cards
(300/500 = 3/5)
Mr. Leiva and Mr. Gamory folded 300 report cards.
Ms. Cho folded more report cards than Ms. Wickham, by
100 (300 - 200 = 100).
Ms. Wickham and Ms. Cho together folded 500 report cards, with the ratio of Ms. Wickham's report cards to Ms. Cho's being 2:3. Ms. Wickham folded 200 report cards, while Ms. Cho folded 300. At the end of the day, Mr. Leiva and Mr. Gamory folded an average 300 report cards. This meant that Ms. Cho folded more report cards than Ms. Wickham, by 100. Therefore, Ms. Cho folded 400 report cards in total, while Ms. Wickham only folded 300.
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help
x^2 + 4x - 3 = 0
Answers
Answer:
x = − 2 + √ 7 , − 2 − √ 7
Step-by-step explanation:
Answer:
x = +/- 2 +/- √7
Step-by-step explanation:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
40km
hope this helps
have a good day :)
Step-by-step explanation:
Find the orthocenter& circumcenter of a triangle when their vertices are A(1, 2), B(2, 6), C(3,-4).
=> Please don't spam or answer Irrelevantly.
Answers
Note:
Ortho centre :a point of intersection of altitudes of a triangle meets the opposite angle.
Given:
For Orthocentre:.
A(1, 2), B(2, 6), C(3,-4). are vertices of a triangle:
Slope of AB[m1]=[tex] \frac{6-2}{2-1} [/tex]=4
Since it is perpendicular to CX.
slope of CX=m2
we have for slope of perpendicular
m1m2=-1
m2=-¼
It passes through the point C(3,-4)
equation of line CX becomes;
(y-y1)=m(x-x1)
y+4=-¼(x-3)
4y+16=-x+3
x+4y+16-3=0
x+4y+13=0........[1]
again:
Slope of AC[m1]=[tex] \frac{-4-2}{3-1} [/tex]=-3
Since it is perpendicular to BY
slope of BY=m2
we have for slope of perpendicular
m1m2=-1
m2=⅓
It passes through the point B(2,6)
equation of line BY becomes;
(y-y1)=m(x-x1)
y-6=⅓(x-2)
3y-18=x-2
x-3y+18-2=0
x-3y+16=0.........[2]
Subtracting equation 1&2.
x+4y+13=0
x-3y+16=0
-__________
7y-3=0
y=[tex] \frac{3}{7} [/tex]
again
Substituting value of y in equation 1.
x+4*[tex] \frac{3}{7} [/tex]+13=0
x=-13-[tex] \frac{12}{7} [/tex]
x=[tex] \frac{-103}{7} [/tex]=-14[tex] \frac{5}{7} [/tex]
So
orthocenter is (-14[tex] \frac{5}{7} [/tex],[tex] \frac{3}{7}[/tex])
And for circumcenter.Circumcentre: a point of intersection of perpendicular bisector of the triangle.
Now
X,Y and Z are the midpoint of AB,AC and BC respectively.
X(a,b)=([tex] \frac{2+1}{2} [/tex],[tex] \frac{2+6}{2} [/tex])=
([tex] \frac{3}{2} [/tex],4)
Slope of AB=4
Slope of OX=-¼
Equation of line OX passes through ([tex] \frac{3}{2} [/tex],4)is
y-4=-¼(x-[tex] \frac{3}{2} [/tex])
4y-16=-x+[tex] \frac{3}{2} [/tex]
8y-16*2=-2x+3
2x+8y=3+32
2x+8y=35
x+4y=[tex] \frac{35}{2} [/tex]........[1]
again
Y(c,d)=([tex] \frac{3+1}{2} [/tex],[tex] \frac{-4+2}{2} [/tex]=(2,-1)
Slope of AC:-3
Slope of OY=⅓
Equation of line OY passes through (2,-1) is
y+1=⅓(x-2)
3y+3=x-2
x-3y=3+2
x-3y=5......[2]
Multiplying equation 2 by 3 and
Subtracting equation 1&2.
x+4y=35/2
x-3y=5
-_______
7y=[tex] \frac{25}{2} [/tex]
y=[tex] \frac{25}{14} [/tex]
Substituting value of y in equation 2.
x-3*[tex] \frac{25}{14} [/tex]=5
x=5+[tex] \frac{75}{14} [/tex]
x=[tex] \frac{145}{14} [/tex]
x=10[tex] \frac{5}{14} [/tex]
circumcenter of a triangle: (10[tex] \frac{5}{14} [/tex],1[tex] \frac{11}{14} [/tex])
Find the area. Round to the nearest tenth if necessary.
Answers
Answer:
575.4 sq inches
Step-by-step explanation:
you can divide this shape into:
13 x 13 square
trapezoid with bases of 13 and 30 with a height of 20
semi-circle with radius of 15
A(square) = 169
A(trapezoid) = 53
A(semi-circle) = 353.4
Amber deposited $1400 into an account that pays 5% interest compounded monthly. How much will Amber have in her account after
10 years?
Answers
Answer:
1400 divided by 5 = 280 times 10 = 2800.
Step-by-step explanation:
Step-by-step explanation:
[tex]total \: months \: = 12 \times 10 = 120 \\ 5\%of \: 1400 = 70 \\ so \: 120 \times 70 = 8400 \\ total = 1400 + 8400 = 9800 \: dollar \\ thank \: you[/tex]
Which statement is correct?
Answers
Answer:
B. ST and TK intersect at a 90 degree angle.
I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.
Step-by-step explanation:
Hope it helps! =D
Solve for x.
please help w this problem, will give thanks !
Answers
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
[tex] \frac{141x - 1}{2} = 70[/tex]
[tex]141x - 1 = 140[/tex]
[tex]141x = 141[/tex]
[tex]x = 1[/tex]