Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
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Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?
Answer:
$31
Step-by-step explanation:
295 minus 16 is 279
that's how much they were all together
and divide 279 by 9 and you get 31
Solve the system of equations below. 4x+1=16 2x+30= - 2
Answer:
D. (5, 4)
Step-by-step explanation:
4x + y = 16 -----> y = 16 - 4x
2x + 3y = -2
Substitute to find x
2x + 3(16 - 4x) = -2
2x + 48 - 12x = -2
-10x = -50
x = 5
Substitute to find y
4(5) + y = 16
20 + y = 16
y = 4
Final solution: (5, 4)
Hope this helps!
**PLS HELP BRAINLIEST**
Answer:
x < 10
Step-by-step explanation:
the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.
Answer:
x<10
Step-by-step explanation:
Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answer:
salary: $40,000÷18% = $ 222. 222 22
222 222 22÷40,000×100%
= 555.56%
A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates
What is the result of adding these two equations?
2x+7y=4
-2x-8y=-2
Answer:
y=-2
Step-by-step explanation:
2x-2x=0
7y-8y=-y
4-2=2
-Y=2
Y=-2
(07.04 LC)
If 9x = 63, then x =
(Only input whole number) (1 point)
Answer: x = 7
Step-by-step explanation:
Question: If 9x = 63, then x = ?
9x = 63
x = 63/9
x = 7 answer
The value of x is 7.
hope that helps...
Find the area of the parallelogram. 24 cm 9cm 8 cm
Carter invested $540 in an account paying an interest rate of 4. 875 % compounded monthly. Jack invested $540 in an account paying an interest rate of 5. 5% compounded continuously. To the nearest hundredth of a year, how much longer would it take for Carter's money to triple than for Jack's money to triple?
Using compound interest and continuous compounding, it is found that it would take 2.61 years longer for Carter's money to triple.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.For Carter, we have that the rate of interest and the number of compoundings are, respectively, r = 0.04875 and n = 12. The time to triple is t for which A(t) = 3P, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]3P = P\left(1 + \frac{0.04875}{12}\right)^{12t}[/tex]
[tex](1.0040625)^{12t} = 3[/tex]
[tex]\log{(1.0040625)^{12t}} = \log{3}[/tex]
[tex]12t\log{(1.0040625)} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{12\log{(1.0040625)}}[/tex]
t = 22.58.
What is continuous compounding?The amount of money is given by:
[tex]A(t) = Pe^{kt}[/tex]
For Jack, we have that the rate of interest is of k = 0.055, hence:
[tex]A(t) = Pe^{kt}[/tex]
[tex]3P = Pe^{0.055t}[/tex]
[tex]e^{0.055t} = 3[/tex]
[tex]\ln{e^{0.055t}} = \ln{3}[/tex]
[tex]0.055t = \ln{3}[/tex]
[tex]t = \frac{\ln{3}}{0.055}[/tex]
t = 19.97.
The difference is given by:
22.58 - 19.97 = 2.61
It would take 2.61 years longer for Carter's money to triple.
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Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)
What’s bigger - 2/3 or -0.8
Answer:
-2/3 is greater than -0.8
Step-by-step explanation:
-2/3 when made into a decimal is about -0.67
This is greater than -0.8 because -0.67 covers less area when put into a visual.
Answer:
Convert -0.8 into a fraction or -2/3 into a decimal;
-2/3 in decimal form = -0.666...
Compare the two decimals;
-0.8 __ -0.666...
-0.8 < -0.666..., so -2/3 is greater.
What is the slope of the line that includes these two points
Answer:
[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]
Step-by-step explanation:
[tex]m=\dfrac{rise}{run}[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-8}{-7-5}[/tex]
[tex]m=\dfrac{-2}{-12}[/tex]
[tex]m=\dfrac{1}{6}[/tex]
Hope it helps! :)
Points scored: 9, 4, 13, 11, 12, 5
What is the median of the points scored?
Answer:
10
Step-by-step explanation:
The median is arranged in numerical value.
it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.
Please help me with this please and thank you
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.
Answer:
N/a^3/2
Step-by-step explanation:
loga(N/X)=3/2
N/X= a^3/2
X= N/a^3/2
Step-by-step explanation:
When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:
[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]
Then use the formula:
[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]
[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]
[tex]x = n {a}^{ - \frac{3}{2} } [/tex]
give me full working and explanation and I give you stars. deal..?
Length: 44 metre
perimeter of rectangle = 2(length+breadth)Here given,
length = L
breadth = 12 metre
perimeter = 112 metre
P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 mWhat is the third angle on a triangle with angels of 30 and 60?
Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep LearningPlease help me. I will make Brainliest
FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).
Answer:
y = -2/5x^2 - 14/5x - 4
Step-by-step explanation:
y = a(x + 2)(x + 5)
At y intercept:
-4 = a(2)(5)
10a = -4
a = -2/5.
So the equation is
y = -2/5(x + 2)(x + 5)
y = -2/5(x^2 + 7x + 10)
y = -2/5x^2 - 14/5x - 4
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: die and coin. The die column has numbers 1 through 6. Each number branches to H & T in the coin column.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling a 6 or landing on tails?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/3
Step-by-step explanation:
If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.
[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]
Theres a 1/3 more chance of tails than rolling 6
The probability of rolling a 6 or rolling a die is 2/3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
An experiment consists of rolling a die and then flipping a coin.
Probability = Number of desired outcomes / Total outcomes
Probability of rolling a 6 = 1/6
Probability of landing on tails = 1/2
P(A or B) = P(A) + P(B)
Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.
P(A or B) = 1/6 + 1/2 = 4/6 = 2/3
Hence the required probability is 2/3.
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9 subtracted from 2x gives the result 5 Find the value of x.
Answer:
x = 7
Step-by-step explanation:
Just write what you see in terms of a formula.
2x - 9 = 5
Solve for x
add both sides by 9
2x = 5 + 9
2x = 14
divide both sides by 2
x = 14/2
x = 7
Answer:
x = 7
Step-by-step explanation:
9 subtracted from 2x gives the result 5. Find the value of x.
Translate:
2x - 9 = 5
Simplify:
2x - 9 = 5 <== add 9 to both sides
+ 9 + 9
2x = 14 <== divide both sides by 2 to isolate the variable
/2 /2
x = 7
Hope this helps!
how do i find out decimal parts of money?
Answer:
A dollar is a whole amount and is written to the left of the decimal.
...
In 1 dollar there are 100 cents and we write them after a period:
1 cent of a dollar is written $0.01.
10 cents of a dollar is written $0.10.
1 dollar and 1 cent is written $1.01.
1 dollar and 10 cents is written $1.10.
Money Is a Special Decimal
All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.
can someone help me.
Step-by-step explanation:
side of square = 10
area of square = side² = 10² = 100 cm²
P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???
The first three terms of a sequence are given. Round to the nearest
а
thousandth (if necessary).
25, 150, 900, ...
Find the 9th term.
Answer:
I'm sorry I don't know
Step-by-step explanation:
hopefully someone solves this!
The 9th term of the geometric sequence will be 41,990,400.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
25, 150, 900, .....
The first term is 25 and the common ratio is calculated as,
r = 150 / 25
r = 6
Then the 9th term of the sequence is given as,
a₉ = 25 · (6)⁹⁻¹
a₉ = 25 · (6)⁸
a₉ = 25 · 1,679,616
a₉ = 41,990,400
The 9th term of the geometric sequence will be 41,990,400.
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NEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
Please HELP ME! PLEASE!
Answer:
- 8/4x^6-5x^5+2
Step-by-step explanation:
Determining the Conic Type from General Form
Identify the conic section that is represented by the equation.
2x^2 – 4x + 5y^2 – 3y + 2 = 0
circle
ellipse
parabola
hyperbola
Answer: B "ellipse"
to check what type of conic it may be, we first check the squared variables, their coefficents and sign.
in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.
if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.
if the coefficients are different, like in this case, we have an ellipse.
Answer:
photo
Step-by-step explanation:
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
1/secA+tanA = 1-sinA/cosA
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?
The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
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