Answer: The tenth term is 76
=======================================================
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.
A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.
Answer:
A^2 + B^2 = C^2 for a right triangle
C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in
Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
What are the possible values of y if x =4 in the inequality x-2y ≤ 5?
Answer:
y ≥ -0.5
Step-by-step explanation:
First, we can substitute 4 in for x in the inequality.
4 - 2y ≤ 5
Now, to solve for y, we start by subtracting 4 from both sides:
-2y ≤ 1
And divide by -2. When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign. This gives us:
y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5
Therefore, the possible values of y are -0.5 or greater.
help me pls...........
Hello,
We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.
But how do we find the slope (or Gradient) from two points ?
For exemple, let's find the gradient of the two points PQ...
Method
1. We need the coordinates of the point P, and the point Q :
P = (6 ; -11)
Q = (k ; -9)
2. The slope is the change in height divided by the change in horizontal distance.
In other words we :
a) subtract the x values
b) subtract the y values
c) divide
Application for PQ
subtract x values : xQ - xP = k - 6
subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2
divide : (k-6) / 2
That is the gradient of PQ.. Now let us find the gradient of PR
Application for PR
subtract x values : xR - xP = 2k - 6
subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8
divide : (2k-6)/8
That is the gradient of PR.
We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :
gradient of PQ = gradient of PR
(k-6) / 2 = (2k - 6) / 8
k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)
8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)
8k - 4k = - 12 + 48
4k = 36
k = 36 / 4 = 9
So the value of k in order for the two gradients to be equals needs to be equal to 9
Good luck
Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
2/3 = 40/60
3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
Which of the following decimals is equal to 3 1/40 ? Select TWO that apply
A 3.0025
B 3.025
С 3. overline 0025
D 3.overline 025
E 3.0025 overline0
F. 3.025overline0
=======================================================
Explanation:
Use long division or your calculator to find that 1/40 = 0.025
Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B
For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.
The decimal value is equivalent to 3.025.
What are decimal numbers?A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.We have the following fraction -
3 [tex]\frac{1}{40\\}[/tex]
We can write the mixed fraction as -
3 [tex]\frac{1}{40\\}[/tex]
(40 x 3 + 1)/40
121/40
3.025
Therefore, the decimal value is equivalent to 3.025.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
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three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls?
Answer:
Step-by-step explanation:
Firstly, we need to get the fraction that are girls
What we have to do is to subtract the three-fifths from the total fraction of 1
Mathematically,that would be :
1- 3/5=2/5
We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed
To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls
We have this as:
1/8 x 2/5=1/20
We have it that 1/20 of the children are left-handed girls
For what value of x is line m parallel to line n?
x=?
Which statement is an example of heat transfer by convection? Question 4 options: Jane's feet burned as she walked across the hot beach sand. Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze. The black asphalt of the parking lot was much warmer than the green grass surrounding the lot. People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.
Answer:
Step-by-step explanation
Hot air from the sand rose and was replaced by cool air blowing from the ocean as a sea breeze.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
Which equation represents the sentence?
Six less than a number is half the number.
n−6=n2
n2−6=n
6−n=n2
6−n2=n
Answer:
It is n-6=n/2.
Step-by-step explanation:
I took the quiz.
Sam earns $.75 for each call he makes for a telemarketing service. He hopes to make at least $100 each day. Write an inequality to represents the number of calls he must make each day. (Let c equal the number of calls. )
(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 1)/(-5 - 7)
m = 0/(-12)
m = 0
(PLEASE HELP!!)
Use the given figure to complete the statement below.
∠1 and ∠2 are what
angles?
-Congruent
-Similar
-Supplementary
-Complementary
I WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:
Answer:
L = 5/4 yards
L = 1 1/4 yards
L = 1.25 yards
Step-by-step explanation:
area = Length * Width
3/4 = L * 3/5
Divide both sides by 3/5
(3/4) / (3/5) = L
When dividing by a fraction flip it over and multiply
3/4 * 5/3 = L
The 3 cancels
5/4 = L
L = 5/4 yards
as a proper fraction
L = 1 1/4 yards
As a decimal
L = 1.25 yards
Si se duplica el radio(2) del círculo anterior, el número de veces que aumenta el area del círculo es?
Answer:
4
Step-by-step explanation:
Find m rs. sr 6x + 6 rq 2x + 14
Answer:
arc RS = 72°
Step-by-step explanation:
The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then
2x + 14 = [tex]\frac{1}{2}[/tex] (6x + 6) = 3x + 3 ( subtract 2x from both sides )
14 = x + 3 ( subtract 3 from both sides )
11 = x
Then
RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?
Answer:
46 feet below sea level
Step-by-step explanation:
First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.
Hey please help thanks
Step-by-step explanation:
a=b as it is alternative angles
so 6x+5=4x+45
6x-4x =45-5
2x=40
x=40 /2
x=20
Which of the following is an arithmetic sequence with common difference 2?
O A. 1, -3, 5, -7, 9, ...
O B. 2, 4, 8, 16, 32, ...
O C. 10, 8, 6, 4, 2, ...
-
D. 13, 15, 17, 19, 21, ...
, ,
Answer:
B
Step-by-step explanation:
You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.
Answer:
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9. The
school is planning on taking 684 students on the field trip. If the bus can only hold 43
students, how many buses will they need?
Answer:
16
Step-by-step explanation:
Answer:
16 buses
Step-by-step explanation:
684/43 = 15.9
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer
Answer:
9
step by step:
sue = 45 shells
Jared= 5 shells
therefore 45÷5 =9
Answer:
9 times bigger
Step-by-step explanation:
45/5= 9 times bigger
why?
because "how many times bigger (or larger)"
Sue has 45 shells
and Jared has 5 shells
divide them and u get the answer
grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below
Answer:
...
Step-by-step explanation:
Alguien puede ayudarme porfavor es para hoy ...Se los agradeceria mucho
Answer:
english?
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is G which is 16.
Step-by-step explanation:
To solve the problem multiply 25/125 times 80.
Help me ..Answer should be well explained..
9514 1404 393
Answer:
6. see attached
7. (a, b) = (-2, 3)
8. equation has issues
Step-by-step explanation:
6. Matrix addition is defined for corresponding terms, so the usual associative and commutative properties of addition apply. That is, ...
A₁₁ +B₁₁ = (A+B)₁₁ . . . . . and the same for other corresponding terms
The attachment shows the sums are equal. (It is convenient to let a spreadsheet do the tedious repetitive work.)
__
7. To find 'a' and 'b', we only need to consider the matrix elements that involve those variables.
element 11: 5 = b +2 ⇒ b = 3
element 21: a = 2 +2a ⇒ a = -2 (add -a-2 to both sides to get this)
__
8. There are issues with this equation. It is incomplete and inconsistent.
element 11: p = p+4 ⇒ no solution
element 21: r = 0 +(2r s) ⇔ missing math symbol; problem is incomplete
element 12: q = 6 + (p +q) ⇒ p = -6; q = anything
element 22: s = 2s +2 ⇒ s = -2 (add -s-2 to both sides)
_____
Additional comment
When a problem has issues of the kind that show up in question 8, I suggest that you have your teacher show you how to work the problem. If they're paying attention, they will discover the issues for themselves.
If they are able to work the problem, it will be because they filled in the missing information and resolved the inconsistencies. This will let you see the intended question.
if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone
Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=
Answer:
s ≈ - 1.9 , s ≈ 11.9
Step-by-step explanation:
s² - 10s - 23 = 0 ( add 23 to both sides )
s² - 10s = 23
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(- 5)s + 25 = 23 + 25
(s - 5)² = 48 ( take square root of both sides )
s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )
s = 5 ± [tex]\sqrt{48}[/tex]
Then
s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution
s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution
the absolute value of n^2 if n<0
Answer:
Step-by-step explanation: