Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
One spring day, Aisha noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Aisha's data.
Answer:
See attachment
Step-by-step explanation:
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answer:
6 cm
8 cm
10 cm
Step-by-step explanation:
3:4:5
3 + 4 + 5 = 12
total 12 parts
24cm / 12 = 2cm per part
3 * 2 = 6 cm
4 * 2 = 8 cm
5 * 2 = 10 cm
Solve the inequality:
1 ≤ a/4 - 1
Answer:
a is greater or equal to 4
Step-by-step explanation:
Cual es el decimal de 19,87×7,8
Answer:
92568
Step-by-step explanation:
I think............
1. Two students are asked to find the angle measures of AEFG, given that the triangle is isosceles. AEFG has an exterior angle at which has a measure of 110%. Their work is shown below.
Which answer is correct? Explain below.
Serin's Answer: The measure of Angle G is 70 degrees. Since the base angles are congruent, the measure of Angel F is also 70degrees.This leaves 40 degrees for Angle E.
Lam's Answer: The measure of angle G is 70degrees. Since an isosceles triangle has two congruent angles, the measure of Angle E and Angle F must be 55degrees
O Both are correct.
ONeither is correct.
Answer:
∆EFG has an exterior angle at G which has a measure of 110°. Which answer is incorrect ... Since external angle is 110 degrees, the internal is 70 degrees
Step-by-step explanation:
no problem we all get stuck
The angles can be ∠ G = 70°, ∠ F = 70° and ∠E = 40° or ∠ G = 70°, ∠ F = ∠ E = 55° hence both are correct so, option C is correct.
What is triangle?
Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
The triangle is isosceles, and AEFG has an exterior angle at which has a measure of 110°,
Calculate the interior angles of the triangle as shown below,
∠ G = 180 - 110 (exterior angle)
∠ G = 70°
Since the remaining angles can be ∠ F = 70° and ∠E = 180 - 70 + 70 = 40°
or ∠ F = ∠ E = 55°
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What is the value of the expression 3q - 6 when q = -2?
Answer:
-12
Step-by-step explanation:
3q-6=x q=-2
(3(-2))-6
-6-6=x
-12=x
Can someone please tell me how to subtract 1 3/8 by 3/4
Please help!
Answer:
2 1/8
Step-by-step explanation:
In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8
Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado
To begin, remember that the sum of all angles must equal 180.
With that being said, take your two known angles into account.
1 - X = Unknown
2 - 102
3 - 48
To find x, simply add 102 and 48.
102 + 48 = 150, the sum of angle 2 & 3.
Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.
180 - 150 = 30
x = 30
To double check, add all the sides together.
102+48+30 = 180
14) In triangle ABC angle A measures 68 degrees and angle B measures 72 degrees. If the measure of
angle C is (x+ 10) degrees. What is the value of X?
Answer:
x= 30°
Step-by-step explanation:
plzz plzz plzz mark as brainliest
Answer:
30°
Step-by-step explanation:
68 + 72 + x + 10 = 180
x + 150 = 180
x + 150 -150 = 180 -150
x = 30
The ratio of the angles in a quadrilateral are 7:4:5:2. What is the smallest angle?
Answer:
Step-by-step explanation:
The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.
To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.
Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.
To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.
Now, we can find the value of the smallest angle:
Smallest angle = (2/18) * 360 degrees
= (1/9) * 360 degrees
= 40 degrees.
Therefore, the smallest angle in the quadrilateral is 40 degrees.
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A Web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the
total cost in dollars to download g games. Then find the cost of downloading 6 games.
Answer:
Part A (Equation): C(g) = 0.99g + 12.49
Part B: Total cost of 6 games = $18.43
Step-by-step explanation:
Given the $0.99 charge to download a game, and a membership fee of $12.49:
Part A: Find the Equation of Total Cost, C, and Number of Games (g)A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:
C(g) = 0.99g + 12.49
where:
0.99 (cost per downloaded game) = represents the rate of change (or slope). This means that the total cost increases by $0.99 for every game that is dowloaded. 12.49 (membership fee) = the initial value or flat fee (y-intercept). Part B: Find the cost of downloading 6 games:To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:
C(g) = 0.99g + 12.49
C(6) = 0.99(6) + 12.49
C(6) = 5.94 + 12.49
C(6) = 18.43
Therefore, it costs $18.43 to download 6 games.
The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.
Answer:
First side is 15 m.
Second side is 13 m.
Third side is 21 m.
Step-by-step explanation:
Let x be the second side of the triangle = x
The first side of a triangle is 2 longer than the second side = x + 2
The third side is 5 shorter than twice the second side. = 2x - 5
Perimeter = 49 m
The formula for finding the perimeter of triangle is:
P = a + b + c
Put the values in the formula
49 = x + x + 2 + 2x - 5
49 = 4x - 3
Use APE or Addition Property of Equality
49 + 3 = 4x
52 = 4x
Use DPE or Division Property of Equality to find the value of x
[tex]\frac{52}{4} = \frac{4x}{4}[/tex]
13 = x
Now put the value of x in the equation
First side( x + 2) = 13 + 2 = 15
Second side( x ) = 13
Third side (2x - 5) =
2(13) - 5
26 - 5
= 21
Solve for b.
8b−1=24b+4
Enter your answer in the box.
Answer:
b=-5/16
Step-by-step explanation:
how do you draw the graph?
Answer:
right
Step-by-step explanation:
draw a line and right a number from 1 to 10
i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?
Answer:
your friend has 6 more marbles
Step-by-step explanation:
7×2=14
10×2=20
20-14=6
Answer:
6
Step-by-step explanation:
First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles
Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.
20-14=6
Can I get brainliest?
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
help help help plssss
Answer:
6.5
Step-by-step explanation:
bc I just no plus or it's 5
To factor f2 + 6f + 9, find the factor of 9 with both positive signs and whose sum is ____
I need help..
Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?
Raymond's change was $ 4.
Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:
1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4
Therefore, Raymond's change was $ 4.
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If you can wash seven cars in three hours how many cars can you wash in eight hours
How much change from a $100 bill would you receive if you bought 6 concert tickets at $15.99 each?
$95.94
$15.99
$4.06
$1.23
Answer:
$4.06
Step-by-step explanation:
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answer:
D) (4, -6, -1)
1) Jack bought 5 basketballs for $70. What was the price per basketball?
Answer:
14
Step-by-step explanation:
70/5 = 14
Please help with this math problem!! :)
Answer:
Step-by-step explanation:
a^2 + B^2 = C^2
and all angle added together should make 180
the left box should be 20 and the right box should 17.321
a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3
Answer:
he would do 9 weeks of school
Step-by-step explanation:
count by fives
22% of what number is 24.2
Answer:110
Step-by-step explanation:
24.2/x = 22/100
Where x is the number we are looking for
cross multiply
24.2*100 = 2420
22*x=22x
22x=2420
22x/22=2420/22
x= 110
so 24.2 is 22% of 110
Answer:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Step-by-step explanation:
If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.
-2 + 1/2 what is the answer
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13