Answer: 8m ^ 4n ^ 5
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
Please answer fast !!!!!!
Look at the picture
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3
Step-by-step explanation:
3x+6+9x-12+6x-3=180
15x-9=180
x-9=12
x=21
The GCF of 26 39 and 65
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
find the output when x = 6
Answer:
5
Step-by-step explanation:
the points is also given on graph
(6,5)
Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?
Answer:
1/6 lb
Step-by-step explanation:
2/3 * 1/4 = 2/12 = 1/6
Plzzzzz help asappppppp
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.
Answer:
40 Apple juice and 20 Orange juice
Step-by-step explanation:
From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.
*OJ = Orange juice and AJ = Apple juice
In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?
Answer:
42 ft
Step-by-step explanation:
4.2/1=4.2
4.2*10=42 ft
PLS GIVE BRAINLIEST
Answer:
42
Step-by-step explanation:
1 cm=10ft on the diagram
so the only thing we have to do is multiply.
4.2x10=42 make sure your answer is in FT not CM
so for example
42ft. Units are important XD
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9
f(x)=0.5-2xsquared find the value of f(x) when x=0
Answer:
f(0) = 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 0.5 - 2x²
x = 0
Step 2: Evaluate
Substitute in x: f(0) = 0.5 - 2(0)²Exponents: f(0) = 0.5 - 2(0)Multiply: f(0) = 0.5 - 0Subtract: f(0) = 0.5Answer:
f ( 0 ) = 0.5
Step-by-step explanation:
Step 1:
f ( x ) = 0.5 - 2x² Function
Step 2:
x = 0 Given
Step 3:
f ( 0 ) = 0.5 - ( 2 ( 0 ) )² Multiply
Answer:
f ( 0 ) = 0.5
Hope This Helps :)
What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes in 30 minutes pls give exact answers
Answer:
For the first part
1.) Negative
2.)zero
3.) undefined
4.) positive
The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.
The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.
The slope formula is y=mx+b. M is the slope while b is the y-intercept.
(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )
Answer:d
D. 9 and 46/180
Step-by-step explanation:
Answer:
Ok thank you for your efforts
Step-by-step explanation:
The answer is D 9 46/180
What is the range of the function represented by the table?
A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 4, 6, 8, 10. Column 2 is labeled y with entries 2.5, 5.0, 7.5, 10.0, 12.5.
{2, 4, 6, 8, 10}
{2.5, 5.0, 7.5, 10.0, 12.5}
{2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
{0.0, 0.5}
Answer:
{2.3, 5.0, 7.5, 10.0, 12.5} Option b
Step-by-step explanation:
Domain is the input values and the range is the output values. The y values.
Answer:
b
Step-by-step explanation:
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE
A) inverse
B) converse
C) conditional
D) contrapositive
Answer:
contrapositive
Step-by-step explanation:
factor 2x^2-9x+9=0 and please show ur steps
Answer:
♡ hi there, madi here! ♡
hope your having a great day.
I did the math so here's your answer.
2x−3)(x−3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x-3=0. x-3=0
Set the first factor equal to 0 and solve.
x=3/2
Set the next factor equal to 0 and solve.
x=3
Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡
✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
Division expression
help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
Explain in words the equation 42÷6=
Answer:
The quotient of forty-two and six is seven.
Using a table, show 60% of 80 60% of 80 is о
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent