Answer:
49
Step-by-step explanation:
Let the three numbers be a1, a2, a3
Let the number to be added to form a geometric progression = x
a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x
For a geometric progression :
a2 = a1 * r
a2 = (1+x)r
11+x = (1+x)r - - (1)
r = (11+x) / (1+x) ---(1)
a3 = a2 * r
a3 = (11+x)r
23+x = (11+x)r - - -
r = (23+x) / (11+x) - - (2)
Equate (1) and (2)
(11+x) / (1+x) = (23+x) / (11+x)
(11+x) * (11+x) = (23+x) * (1+x)
121 + 22x + x² = 23 + 24x + x²
121 + 22x + x² - x² - 24x - 23 = 0
98 - 2x = 0
-2x = - 98
x = 98 / 2
x = 49
If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?
Answer: 50km/hour
Step-by-step explanation:
Answer:
50 km an hour
Step-by-step explanation:
if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling
100 divided by 2 = 50
the person was traveling 50 km an hour
Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.
Enter your answer in the box.
Answer: right answer is 23
Step-by-step explanation:
How come this person didn’t divide EVERYTHING on the left by 2? I thought you had to...
The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.
In the expression
2 (6x - 1) + 2 (2x + 5)
both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:
(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)
… = 1 (6x - 1) + 1 (2x - 5)
… = (6x - 1) + (2x - 5)
and so on.
Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,
2×41 + 2×19 = 120
If you divide *everything* on the left by 2, you end up with fractions:
(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2
but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.
1. Which value of the denominator would make the below statement true?
2/3 = 16/?
a.6
b. 8
c. 12
d. 24
Please help !
Answer:
d. 24
Step-by-step explanation:
a
Step-by-step explanation:
multiple
6times 3--16
triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.
Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!
Step-by-step explanation:
What number has a absolute of 10?
Answer:
10
Step-by-step explanation:
Answer:
10, -10, [tex]\sqrt{100} =10[/tex]
Step-by-step explanation:
id k if you are asking for the absolute value, but I hope this helps.
You wake up, you see there's a flood, you see 3 people hanging on a tree but you can only save one of them, there is hot girl gold digger, old grandma, and baby boy, who you gonna save
Answer:
baby boy
Step-by-step explanation:
he has the rest of his life to live
Answer:
baby boy
Step-by-step explanation:
The old dude already lived his life. The woman is a gold digger and I'm not rich.
Find the amount of simple interest that $400 would earn at 8% per year by the end 3 1/2 years
9514 1404 393
Answer:
$112
Step-by-step explanation:
The amount of interest is given by the formula ...
I = Prt
where P is the principal earning interest at annual rate r for t years.
I = $400 · 0.08 · 3.5
I = $112
The amount would earn $112 in interest by the end of 3 1/2 years.
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
14 cm
Answer:
1,330.5 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
Where,
r = ½ of 11 = 5.5
h = 14 cm
Plug in the values
Volume = π × 5.5² × 14
Volume = π × 423.5
Volume = 1,330.5 cm³ (1 d.p)
Questions Below. Would Appreciate Help!
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
What 3-dimensional figure can be created by folding the shape shown below on the dotted lines?
Answer:
A triangle
Step-by-step explanation: The two squares lean against each other
The prism can be created by folding the shape on the dotted lines.
What is net?
"It is a pattern of a figure on the figure that can be folded to form the three-dimensional geometric structure."
What is a triangular prism?"It is a prism that made up of two triangular bases and three rectangular sides."
What is cube?"It is a three-dimensional geometric structure, which has six square faces."
What is pyramid?"It is three dimensional geometric structure which has a polygonal base and triangular lateral sides."
For given example,
We have been given a net of a three-dimensional figure.
The net consists of three squares and two triangle.
If we create a three-dimensional structure by folding the shape on the dotted lines, then it would be a triangular prism.
As we know the triangular prism consists of three rectangular / square sides and two triangular bases.
Therefore, the prism can be created by folding the shape on the dotted lines.
Learn more about the net here:
https://brainly.com/question/12032061
#SPJ2
What is 2+8
A) 7
B)10
C) 11
D) 9
Answer:
B. 10
Step-by-step explanation:
Addition. use you finger and try to count like that. :)
out of 650 people, how many more would you expect to say that they liked summer more then they liked winter
please help and look at graph
Answer:
169
Step-by-step explanation:
[tex]650 \times (39\% - 13\%) = 169[/tex]
Solve the system of equations using elimination. SHOW WORK!!!!!!!!!!!!!
15q – 4r = 62
5q + 8r = 86
q= 6
r= 7
work--
Multiply 1st column by -2:
-30q+8r=-124
5q+8r=86
Subtract 2nd column from the first column:
-35q= -210
Solve for q:
q=6
Subtract q=6 by any of the two equations, so:
-30q+8r=-124
-30*6+8r=-124
Solve for r:
r=7
How do I do such thing?
Answer:
a= -5
Explanation:
Rewrite the equation to be: 3^a=3^-1 / 3^4
Multiply by adding exponents :))
which would then be 3^a = 3^-5
Then, since the bases are the same then the a would equal negative (-) 5. :))
Hope this helps :)) Plz mark brainlest :))
Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza’s math book weigh?
Answer:18 7/9 - 14 7/8
= 169/9 - 119/8
now you must find a common denominator
= 281/72
3 65/72 lbs
Step-by-step explanation:
find the polynomial equation with the given roots (precalc)
What is the scale factor of Figure B to Figure A in the simplest form?
simple just multiply 10X25X21.5 for A and the same for B
3x+4(7-2x) =68. Whats the value of x
Answer:
first we deal with the parentheses.
3x + 28 - 8x = 69
3x - 8x = 41
-5x = 41
x = -8.2
ep-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Combine like terms. Your answer should contain decimals. 0.5(x4 − 9) + 15 = Please in 10 mins please
Answer:
x ≈ ±2.1407
Step-by-step explanation:
0.5(x⁴ - 9) + 15 = 0
Distribute the 0.5 across the parentheses.
0.5x⁴ - 4.5 + 15 = 0
Combine the constants.
0.5x⁴ + 10.5 = 0
Subtract 10.5 from both sides.
0.5x⁴ = -10.5
Divide both sides by 0.5.
x⁴ = 21
Take the fourth root of 21.
⁴√21 ≈ ±2.1407
x ≈ ±2.1407
8(a + 30)=80 a equals how much?
Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
Answer:
a=-20
Step-by-step explanation:
Multiply 8 by a and 30 which is 8a and 240
The equation looks like this:
8a+240=80
Subtract 240 on both sides:
8a+240-240=80-240
The equation looks like this now:
8a=-160
Divide by 8 on both sides:
8a/8=-160/8
The answer will be:
a=-20
Is it possible to form a triangle with side lengths 3.5 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? Or none
Answer:
It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.
Step-by-step explanation:
Scalene Triangle - All 3 sides have different lengths.
Isosceles Triangle - 2 sides have equal lengths.
Equilateral Triangle - All 3 sides have equal lengths.
You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.
I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!
The given side lengths, 3.5 3.5, and 9, cannot form a triangle.
The Triangle Inequality TheoremThe triangle inequality theorem states that for any triangle, the sum of any two of its side must be greater than the length of the third side.Given the side lengths, 3.5 3.5, and 9:
3.5 + 3.5 (7) is not greater than 9
Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.
Learn more about triangle inequality theorem on:
https://brainly.com/question/2403556
Mr.smith had 2,364 baseball cards and wanted to give them to his 2 sons equally.How many cards did each son get?
Answer:
1,182
Step-by-step explanation:
Answer:
1182
Step-by-step explanation:
[Help fast, will mark brainliest] Consider the following expression. 3x+2y+5+9y
Select all of the true statements below.
Answer:
3x+11y+5
false
true
false
true
true
false
Answer:
2y and 9y are like terms
3x is a term
5 is a constant
Step-by-step explanation:
To answer this question, you need to know the definitions of terms, like terms, factors and coefficient.
Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?
Yo can somebody help??
1/4
I hope this helped! please mark brainliest and vote 5 stars >:)
it is 1/4 because the patten is minus 1
Name a plane that contains AC.
plane RCA
plane WRT
plane ACR
plane WCT
It would be defi
Step-by-step explanation:
I think it definetly would be acr
Which expression is equivalent to 6^3
O 6x3
O6x6x6
O 6x6x6x6
0 3 x 3 x 3 x 3 x 3 x 3
Answer:
The answer is 6x6x6.......…......
hellpppppppppppppp pleaseeee
Answer:
x=3+√2 or x=3−√2
Step-by-step explanation:
For this equation: a=1, b=-6, c=7
1x2+−6x+7=0
Step 1: Use quadratic formula with a=1, b=-6, c=7.
x=
−b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(7)
2(1)
x=
6±√8
2
x=3+√2 or x=3−√2
You put $1,000.00 into a saving account that gives you a 14% return. What is your growth factor?
Answer:
i would not rlly know what my growth factor is actually
Step-by-step explanation: