Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is: [tex]a_n=a_1r^{n-1}[/tex]
We have a₁=26 and r = 0.5 n=10
[tex]a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051[/tex]
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is: [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48[/tex]
So, sum of first 18 terms of given sequence is 51.48
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answer:
A(8)=32cm
B(9)=36cm
C(10)=40cm
Step-by-step explanation:
let 8:9:10=A:B:C
∑ratios=8+9+10=27
Therefore lengths or triangles:-
What is m∠A?
m∠A =
A. 66
B. 57
C. 113
Answer:
m∠A =
A. 66°
Step-by-step explanation:
∠C = ∠B
57 + 57 = 114
∠A = 180 - 114 = 66
Plot the image of Point Q under the translation (x,y) (x-3, y + 4)
Answer:
(0, 3)
Step-by-step explanation:
Subtract 3 units from the X-coordinate
Add 4 units from the Y-coordinate
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap
Answer:
113º
(pls mark brainliest if possible)
Step-by-step explanation:
Hexagon has sum of interior angles as 720º
127+85+121+135+139+x=720
607+x = 720
x= 113º
PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.
Answer:
7
Step-by-step explanation:
Simplify the expression:
m - 1/6 - 4m + 5/6
Answer:
-3m+2/3. 2/3 is a fraction
Step-by-step explanation:
What is the equation of this graphed line?
Answer:
Step-by-step explanation:
(-7 + 3)/(6 + 6) = -4/12 = -1/3
y + 3 = -1/3(x + 6)
y + 3 = -1/3x - 2
y = -1/3x - 5
Which statement about 8 x 9/9
is true?
A) The product will be greater than 8.
B) The product will be less than 1. C) The product will be equal to 8. D) The product will be less than 8.
Answer:
C
Step-by-step explanation:
9/9 is just 1. Therefore, 8*1 is 8. C is correct
round 0.000007328. to the neartest millionth
Answer:
0.000007
Step-by-step explanation:
Hope this helpss!!
Answer:
0.000007
Step-by-step explanation:
The millionth place is 6 spots to the right of the decimal.
Our number is 0.000007328
6 spots to the right is 0.000007 (328)
3 is less than 5, so we do not round up.
The answer is 0.000007
I hope this helped, please mark Brainliest, thank you !!
Write a word phrase for -5 - 4n
Answer: four times a number subtracted by -5
Step-by-step explanation:
four time a number is no more than one hundred and eight
Answer:
</ is what I use for equal to or less than
4x </ 108 for the inequality
x </ 27
Step-by-step explanation:
Is that what you needed?
Equation:
4x=108
'x' being the number mentioned
Solved Equation: (isolate x)
4x/4=108/4
x=27
Plzz mark me brainliest, hope this helped.
who came first, the chicken or the egg? and when i say came, yeah i mean that.
Answer:
i think the egg bc the egg gotta hatch to be a chicken
Step-by-step explanation:
anyone her watch technoblade
1+1
Answer:
Yes.
Also, 1 + 1 = 2
Also:
Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.
Answer:
yes technoblade never dies
1+1=2
Solve the system of equations below.
y=3x
2x + y = 15
Answer:
x=3
Step-by-step explanation:
2x+(3x)=15
5x=15
x=3
solving for y:
3(3)=9
y=9
Answer:
(y,x) (9,3)
Step-by-step explanation
Mary has sold 90 boxes of cookies. If her goal was to sell 120 boxes, what percentage of her goal has she sold?
the percentage is 75%
because 90 divided by 120 is 0.75.
Jordan's activity tracker showed that when she walked for 12 minutes she took 804 steps. Karen's activity tracker showed that she walked 2,100 steps in 32 minutes. Who was walking at a faster rate?
Given:
Jordan's walked for 12 minutes she took 804 steps.
Karen's walked 2,100 steps in 32 minutes.
To find:
Who was walking at a faster rate?
Solution:
We need to find the unit rate of Jordan and Karen.
[tex]\text{Unit rate}=\dfrac{\text{Total steps}}{\text{Total time}}[/tex]
Unit rate of Jordan,
[tex]\text{Unit rate}=\dfrac{804}{12}[/tex]
[tex]\text{Unit rate}=67[/tex]
Unit rate of Karen,
[tex]\text{Unit rate}=\dfrac{2100}{32}[/tex]
[tex]\text{Unit rate}=65.625[/tex]
Clearly, 67 > 65.625.
Since, unit rate of Jordan is greater, therefore she walked faster.
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
x= 6 y=40
Step-by-step explanation:
GIVING BRAINLIEST. LOTS OF POINTS. Describe a real-life situation that can be modeled by the equation 11x + 5 = 8x + 23
Answer:
See below.
Step-by-step explanation:
Jane and John are each hiking a trail in the city. Jane is on her bike, and John is jogging.
At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.
Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.
x is the number of hours after noon.
Will Jane catch John? After how many hours?
Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.
Answer:
Ivette is wrong and by a lot. The spaceship should be 23.59 feet high
Step-by-step explanation:
The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.
In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 = 23.59 feet high.
When you make scale drawings or scale cakes, you must keep the same proportions as the original model.
Please help!!
What is the solution to 2x^2+x+2=0?
Answer:
your 3rd option
Step-by-step explanation:
[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]
[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]
[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]
[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]
What is angle A and B??
Answer:
A=45 b=110
Step-by-step explanation:
I used a calc
Answer:
A=135 b=200
Step-by-step explanation:
135+200+25=360
X+(x+65) +25=360
Subtract 25 from both sides
X+ (x+65)=335
Combine like terms
2x +65=335
Subtract 65 from both sides
2x =270
Divide by 2
X=135
To get b you just do 135+65=200
-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
could somebody helppp meee pleaseeeeee
Answer:
(6-4)=2
2*49 . 7
91 . 7
13
14
:
(6-4) = 2
2 x 49 = 98 / 7 = 14
( "/" means divide )
Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone with asthma to exercise?
Answer:
B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.
Step-by-step explanation:
Please help middle school math
Answer:
Greater than 7 cm.
Step-by-step explanation:
Answer:greater than 7 cm
Step-by-step explanation:
U is a midsegment of AFGH. 1) = 7, FH = 9, and GH= 12. Find the perimeter of AIJH. F
Answer:
perimeter of triangle IJH= 17.5
Step-by-step explanation:
line IJ is a midsegment, so you can divide the segments FH and GH by 2.
that means segment IH= 4.5 and segment GH=6. segment IJ is given as 7.
add 4.5 + 6 + 7, which equals 17.5
Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.
Answer:
1/5 + 2/5 = 3/5
Step-by-step explanation:
your welcome
Answer:
1/5+z=3/5
Step-by-step explanation:
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively. If at the end of the year. Ansah received Gh€ 5.000.00 more than boadu how much was boadu shared?
Answer:
Step-by-step explanation:
The share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Let 4x be the share of Boadu and 5x be the share of Ansah
4x + 5x = 5,000,00
9x = 5,000,00
x = 55555.55
The share of Boadu = 4x = 4(55555.55) = 222,222.22
Thus, the share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?