I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.
The n-th term of the sequence, starting with n = 1, is then
-6 + 0.5 (n - 1) = 0.5n - 6.5
and we want to find the number N such that
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]
We have
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]
Solve for N :
0.25 N ² - 6.25N + 25 = 0
N ² - 25N + 100 = 0
(N - 20) (N - 5) = 0
N = 20 or N = 5
find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2
Help needed!! Please help me solve my problem!!!
96/2= 48
given figure is a square.the line is bisect the angel
thank you
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
Write the equation of the parabola in vertex form.
I'll give you 52 points if you answer this
Classify the following angles
--Answer--
1. acute
2. right
3. acute
4. obtuse
5. straight
--Explanation--
Acute angle = Greater than 0 °, Less than 90°
Right angle = 90°
Obtuse angle = Greater than 90°, less than 180°
Straight angle = 180°
Answer:
A) Acute B) Right C) Obtuse D) Obtuse E) Flat/Straight
Step-by-step explanation:
Acute angles are angles less than 90°
Right angles are angles that are 90°
Obtuse angles are angles that are over than 90°
Flat/Straight angles are 180°
. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change
Answer:
option B , C , D
Step-by-step explanation:
Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.
Remember
If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.
only option A satisfies . So out of all these statements only option A is true.
formula :
(x , y) = (kx , ky) ( k means scale factor)
here scale factor is multiplied to the coordinate x and y.
since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.
what are the steps to this?
Answer:
B=112
Step-by-step explanation:
Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112
Answer:
b = 112°
Step-by-step explanation:
The two angles from a straight line. so, they add to 180° .
b + 68° = 180°
subtract 68° from each side
b + 68° - 68° = 180° - 68°
b = 112°
The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.
Answer:
One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.
another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour
Will give brainliest but Please hurry got until tmrw
A train is traveling at a constant
speed, and its distance over time is
shownin the graph. What is the speed
of the train?
Answer:
It looks like 35 miles per hour
Step-by-step explanation:
if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.
What Value of X satisfies this equation?
Answer:
x=0
Step-by-step explanation:
4 ( 2.5) ^x = 4
Divide each side by 4
4/4 ( 2.5) ^x = 4/4
( 2.5) ^x = 1
Take the log of each side
log ( 2.5) ^x = log (1)
x log ( 2.5) = log 1
x log (2.5) = 0
Divide each side by log (2.5)
x = 0
PLS I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
Answer:
5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes
Step-by-step explanation:
I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers
Answer:
5. 2 hours 45 mins
6. 7:23 start
7. 10:05
8. 1 hour 34 mins
Prove that root 2 as irrational number
chadwick contributes 17% of his 68,000 annual salary to his 401(k)plan.What is his pre-tax income?
What is the value of x?
Answer:
98deg
Step-by-step explanation:
Angles in a triangular add to 180.
180-(53+45) is the top angle.
Angles on a line add a up to 180
180 - triangles top angle = x
A man was paid basic wage of 2.50. dollars a day.if he worked every day in the month, calculate his basic wage for February
nejsjsj show your working pls
Answer:
[tex] V = U + at[/tex]
Step-by-step explanation:
Given the following data;
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
[tex] V = U + at[/tex]
Where;
V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.Substituting into the formula, we have;
[tex] 32 = 0 + 10*3.2[/tex]
[tex] 32 = 0 + 32 [/tex]
[tex] 32 = 32 [/tex]
Proven: 32 m/s = 32 m/s
pls help me find the operations of 3a^2+4a^2+7a^2
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
Answer:
14 a²
Step-by-step explanation:
3a² + 4a² + 7a²
collect like terms
(3 + 4 + 7)a² .. ( factor out :- a²)
calculate the sum
14 a²
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?
Answer:
7 times 5
35
divided by two
17.5
times 3
52.5 cubic inch
Please help and thank you!
Answer:
f(x) = 4*e^(0.05*x)
Step-by-step explanation:
We want to find the equation for the graph.
The first thing we can see, is that, as the value of x increases, also does the value of y.
So f(x) increases as x increases.
Then we can discard the options with negative exponents, as those decrease when x increases.
Then the remaining options are:
f(x) = 4*e^(0.05*x)
f(x) = 4*e^(0.5*x)
In the graph, we can see that:
f(5) ≈ 5
So let's check that with the two remaining options:
For the first one we have:
f(5) = 4*e^(0.05*5) = 5.13
While for the second option we have:
f(5) = 4*e^(0.5*5) = 48.73
Then the correct option is the first one:
f(x) = 4*e^(0.05*x)
Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram
Answer:
ok so first we add 10 plus 7 together since if you don't show up you fail
which is 17
so out of 100 students 17 failed both
now we subtract 71 from 80 to get 9
so we add that together with 17 so
17+9=26 so 26 students failed both
Hope This Helps!!!
A positive
B negative
C none
D multiple
Answer:
Step-by-step explanation:
The letter c
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
Please help out with this question!
Answer:
[tex]1. \: \: a = 4[/tex]
[tex]2. \: \: y = 16[/tex]
Step-by-step explanation:
[tex]1. \: \: a + 5 = 9[/tex]
[tex]a = 9 - 5[/tex]
[tex]a = 4[/tex]
[tex]2. \: \: y−4=12[/tex]
[tex]y=12+4[/tex]
[tex]y = 16[/tex]
Hope it is helpful....In the diagram, the figures are similar. Use proportions to find x.
Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
How do you eat like I next to to eat and I can’t so how do I eat
Answer:
I don’t get the question.
Step-by-step explanation:
It doesn’t make sense to me……….
I Need Help please can I borrow your time
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
please help me with this :)
Answer: 103 degrees
Step-by-step explanation: all angle of a regular triangle always add up to 180. so 62+15=77. and 180 - 77= 103
Answer:
A. 103 degrees
Step-by-step explanation:
In a triangle, the sum of angle measures is equal to 180 degrees, so by adding 62 & 15, & subtracting it from 180 you get the third angle measure of 103.
Cos (2a) [tg (2a) - tg (a)] = tg (a) Es de identidades trigonométricas y realmente no entiendo ¿me ayudan?
Answer:
Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].
Step-by-step explanation:
A continuación, vamos a emplear las siguientes identidades trigonométricas:
[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)
[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)
Ahora aplicamos estas identidades a la identidad descrita en el enunciado:
[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]
[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]
[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]
[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]
[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]
[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]
[tex]1 = 1[/tex]
Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].