Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields consecutive terms of a geometric sequence. What are the first three terms in the geometric sequence? 3
Given:
[tex]x = 1, y = 7,z = 15[/tex]
A number is added to x, y, and z yields consecutive terms of a geometric sequence.
To find:
The number which is added to x, y, and z, then find the first three terms in the geometric sequence.
Solution:
Let the unknown number be k.
After adding k to x, y, and z, we get
[tex]x = 1+k, y = 7+k,z = 15+k[/tex]
These are the consecutive terms of a geometric sequence. So,
[tex](7+k)^2=(1+k)(15+k)[/tex]
[tex]49+14k+k^2=15+k+15k+k^2[/tex]
[tex]49+14k=15+16k[/tex]
Isolate the variable terms.
[tex]49-15=16k-14k[/tex]
[tex]34=2k[/tex]
[tex]\dfrac{34}{2}=k[/tex]
[tex]17=k[/tex]
The unknown number is 17.
Now,
[tex]x=1+k[/tex]
[tex]x=1+17[/tex]
[tex]x=18[/tex]
Similarly,
[tex]y=7+k[/tex]
[tex]y=7+17[/tex]
[tex]y=24[/tex]
And
[tex]z=15+k[/tex]
[tex]z=15+17[/tex]
[tex]z=32[/tex]
Therefore, the three terms in the geometric sequence are 18, 24, 32.
PLEASE HELP VERY IMPORTANT
The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
what do i choose? because all i see is a lot of numbers and words lol
write an equation in point slope form for the given point and slope point (4 -6) slope 2
pleasee help ill give you 50 points if u help me and give me the right answer
Answer:
y=2x-14
Step-by-step explanation:
The exact circumference of a circle is 34π meters. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
A = 907.46 [tex]m^{2}[/tex]
Step-by-step explanation:
C = πd
34π = πd
d = 34
r = 17
A = [tex]\pi r^{2}[/tex] = 3.14([tex]17^{2}[/tex]) = 3.14(289) = 907.46 [tex]m^{2}[/tex]
All the real numbers have reciprocal except
A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, then
y = 5x + c ← is the partial equation
To find c substitute (1, 9) into the partial equation
9 = 5 + c ⇒ c = 9 - 5 = 4
y = 5x + 4 ← equation of line
You have 3 red marbles, 5 green, and 2 blue marbles. What is the probability of pulling a blue marble and then replacing the first marble and then grabbing a green marble?
(As a percent)
Answer:
I think it's [tex]\frac{7}{10}[/tex].
Why 7/10?
Well, the probability of pulling out a blue marble + pulling out a green marble is also written as [tex]\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]
The sum of three consecutive odd integers is 189. What
are the integers?
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
Just to review, probability can be written as....
Answer:
Percentage
Step-by-step explanation:
The higher the probability number or percentage of an event, the more likely is it that the event will occur. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).
GEOMETRY - triangle similarity
Answer:
ΔABC ≈ ΔDEF
∡B ≅ ∡E
x = 4.5
BC is similar to EF
Step-by-step explanation:
to find 'x':
6/16 = x/12
16x = 72
x = 4.5
Answer:
1) tri ABC ~ tri DEF
2) angle B ~ angle E
3) x= 4.5
4) ?= BC
Step-by-step explanation:
hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)
1) I just matched up the letters, A to D, B to E, C to F
You can also use ratios, but if you dont need an explanation then ignore it.
2) matched up the angles: B corresponds to E
3) Ratio: 6/16 = x/12
16x = 72 cross multiply
x = 4.5
4) Again, just match up the sides
BC corresponds to EF
hope this helps :D best of luck
Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55
how much faster was jose jogging than edwin was walking in miles per hour
Answer:
there is not enough info to answer this
Step-by-step explanation:
Answer: There is not enough information given to answer. You need to include how fast Jose and Edwin were jogging/walking.
Please help ill give brainlest
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Andrew's bus pass has $35 on it. Each time he rides the bus $1.50 is deducted from his card.
How many times can he ride the bus before he ends up with only $5 left
Answer:
He can ride the bus 20 times
Step-by-step explanation:
35-5=30
3=2x1.5
mental gymnastics helped me lol
Find f-1(x) if f(x) = 2x/3-4
Given:
The function is:
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
To find:
The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{2x}{3}-4[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=\dfrac{2x}{3}-4[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{2y}{3}-4[/tex]
Step 3: Isolate y.
[tex]x+4=\dfrac{2y}{3}[/tex]
[tex]3(x+4)=2y[/tex]
[tex]\dfrac{3x+12}{2}=y[/tex]
[tex]\dfrac{3}{2}x+6=y[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].
2) Last Friday Trevon had $29. Over the weekend he received some money
for cleaning the attic. He now has $41. How much money did he receive?
Answer:
12 dollars
Step-by-step explanation:
29+12=41 or 12-49=29
can someone help me please? and if its okay can you show the step by step explanation.
Two parallel lines are cut by a transversal. What is the measure of 26?
A. 180°
B. 90°
C. 123°
D. 57°
Answer:
57
Step-by-step explanation:
1+2=180
123+2=180
2=180-123
2=57
2=6=57 ( because 2 and 6 are 2 isotopic angles)
Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?
Answer:
$11.52
Step-by-step explanation:
18% of 64 is 11.52
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground
Answer:
78.5°
Step-by-step explanation:
We solve for the above question, using the formula for the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = The distance between the house and the base of the ladder = 4 feet
Hypotenuse = Length of the Ladder = 20 feet
Hence,
cos θ = 4/20
θ = arc cos(4/20)
θ = 78.463040967°
Approximately = 78.5°
Therefore, the angle that the ladder makes with the ground is 78.5°
Is (4, 3) a solution of the graphed inequality?
Will mark brainliest
[tex] \frac{19}{6} \pi \times \frac{360}{75} = \frac{19}{6} \pi \times \frac{24}{5} = \frac{76}{5} \pi[/tex]
[tex] {x}^{2} \times \pi = \frac{76}{5} \pi[/tex]
[tex]x = \frac{2 \sqrt{95} }{5} = 3.9[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.
The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
y - 4 = 2/3 (x - 3)
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
HELP WITH THIS PLEASEEEE
Answer:
1) G
2) B
3) I
4) H
Step-by-step explanation:
Perimeter of a triangle formula:
P = a + b + c
1)
P = x + 6 + 3x + 2 + 2x + 4
P = 6x + 12
2)
P = 6x + 4 + 7x + 1 + 5x + 7
P = 18x + 12
3)
P = 4x - 3 + 3x + 5x - 6
P = 12x - 9
4)
P = 6x - 8 + 3x + 7 + 5x - 3
P = 14x - 4
I need help please! DON'T USE LINKS! WILL BE REPORTED
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
Which minor scale has 3 flats
Answer:
C Minor
Step-by-step explanation:
Write a fraction to represent the probability of rolling a two.
Answer:
1/6
Step-by-step explanation:
if you want to roll a 2 from a six sided dice then you have six different outcomes. If you want a two then you have a 1 out of six chance of getting the two
Answer:
thats id correct 1/6
Step-by-step explanation:
the possible out come of rolling a 2 out of six is 1/6
Find sin A.16/12, b.16/20, c.12/20, d. 12/16, I will give branliest!!!, pls help!
Answer:
B) 16/20
Step-by-step explanation:
sin∅=opposite/hypotenuse
sin∅=16/20
Therefore, your answer is B.
Answer:
(12/16)
Step-by-step explanation:
According to the line plot what is the total amount of time spent studying by all students who studied 1/4 hour or 3/4 hour
Answer:
2 3/4 hours
Step-by-step explanation:
We see from the figure that 2 students spent 1/4 hours and 3 students spent 3/4 hours.
So the total time spent is
2* (1/4) + 3(3/4) hours
= 1/2 + 9/4
=(2+9)/4 taking l.c.m
= 11/4
= 2 3/4 hours
The total time spent by 5 students on 1/4 hours and 3/4 hours is 2 and 3/4 hours.
