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.
The parallelogram shown below has an area of 35 units^2 2 squared. Find the missing height. h =h=h, equals units
Answer:
h = 5 units
Step-by-step explanation:
Given that,
The area of the parallelogram, A = 35 unit²
In the attached figure, we can see that the base is 7 unit.
We know that,
Area of a parallelogram, A = b × h
So,
[tex]h=\dfrac{A}{b}\\\\h=\dfrac{35}{7}\\\\h=5\ units[/tex]
So, the value of h is equal to 5 units.
Brain Teaser! Will be posting till I run out! Winner gets a brainliest!
Question: Find the area of the red triangle.
Answer:
i tried
Step-by-step explanation:
im suppose to be gifted... it took me 20 minutes and im in 9th grade RIP, but is it 9??
which equation can be used to solve for x in the diagram?
a- 11x = 7x
b- 7x + 90 = 11x
c- 7x + 11z = 180
d- 7x + 11x = 90
Answer:
The answer is D. 7x + 11x = 90
Help I’ll give Brainly est
Answer:
26 sq units.......
Need help in this ASAP
Answer:
The m∠YXW is 125°.
Addition equation: m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°
Step-by-step explanation:
To find the m∠YXW you would need to add the m∠YXZ and m∠ZXW together:
m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°
how many units of meters make a kilometer?
De un depósito se gasta primero la mitad del agua, y luego la cuarta parte de lo que quedaba. Al final,
quedan 12 litros. Hallar la capacidad del depósito.
Answer:5/8 fraction of the deposit has been spent, which is 20 liters
Let "a" be the initial amount of water, then first half the water is used: then a / 2 of water is used and the other half is left at / 2 * (1/4), then the fourth part is used: then 1/8 * a is used, so now it remains: a / 2 - a / 8 = 3/8 * a, so 5/8 * a has been used, then what remains are 12 liters:
3/8 * a = 12 L
a = 12 L * 8/3 = 32 L
Wasted: 32 L - 12 L = 20 L
You can visit: brainly.lat/tarea/13597443
There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?
Answer:
48 people
Step-by-step explanation:
To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.
Find f(-2) for the function f (x) = 3x^2-2x+7
Answer:
23
Step-by-step explanation:
plug -2 in for x then solve
Move the center of the circle to a different location, and record the required values in the table. Check the boxes for the area of the circle and the area of the sector after you move the center. Round the values to two decimal places.
Answer: answer in the image
Step-by-step explanation:
Answer:
Step-by-step explanation:
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
T=7
units?
Show Calculator
Answer:
Area = 153.8 cm/ m
Step-by-step explanation:
Area of circle = 22 ÷ 7 × r²
= 22 ÷ 7 × (7²)
= 22 ÷ 7 × 49
= 3.14 × 49
= 153.8 cm/ m
Is this a function? Why or why not?
Answer:
Yes because there are no repeated dependent variables.
Step-by-step explanation:
Find the product. 1.5m6(-2m2)4
9514 1404 393
Answer:
24m^14
Step-by-step explanation:
It looks like you want to simplify ...
[tex]1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}[/tex]
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
please help xx 10 points
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answer:
1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C
2. G ( x ) = 1/2X^2 + 2x + C
The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle
Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
A kite was was broken into two triangles. What is the height, h, one of the triangles?
A) 4 ft
B) 8 ft
C) 7 ft
D) 14 ft
Answer:
4
Step-by-step explanation:
took test on edge :D
HELP PLEASE
1. 5x + 7 = 2x + 16
2. 3x + 4 = 5x – 10
Answer:
1. x=3
2. x=7
Step-by-step explanation:
Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the school. How many of these are EXPECTED to enjoy watching baseball? *
Answer:
630 people
Step-by-step explanation:
Ratios:
[tex]\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630[/tex]
please help me NOW, I have a MIN LEFT HURRY
Numbers are too small to see gosh dammit
please help! question is in the pic
Answer: 2 + 1 = 3 2 x 1 =2
Step-by-step explanation: + 7 = 7
PLZ HELP WILL GIVE BRAINLY IF CORRECT
Answer:
1000 MM is the greatest
Step-by-step explanation:
1000 MM to CM = 100
9.7 CM and 4.7 CM are too small, therefore, we ignore them..
450 MM to CM is 45, therefore 1000 MM is the greater length
Answer:
A
Step-by-step explanation:
1,000mm=100cm
｡ﾟﾟ･｡･ﾟﾟ｡
ﾟ。Pain is temporary, swag is forever
ﾟ･｡･ <3
3
A ABC and point E are shown in the diagram below. Determine a possible location of point D to make
ABC. CDE
Answer:
Step-by-step explanation:
A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color
Answer:
[tex]P(Z)=\frac{8}{15}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=10[/tex]
Green pins [tex]x=7[/tex]
Blue pins [tex]y=3[/tex]
Generally the probability of getting two green is mathematically given by
[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]
[tex]P(2X)=\frac{7}{15}[/tex]
Generally the probability of getting two blue is mathematically given by
[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]
[tex]P(2Y)=\frac{1}{15}[/tex]
Therefore the probability that both pins are the same color P(Z)
[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]
[tex]P(Z)=\frac{8}{15}[/tex]
John mows 3 of his neighbors yards for $20 a yard. How much money did he make?
Answer:
60
Step-by-step explanation:
Answer:
The answer is $60
Step-by-step explanation:
If each yard earns John $20, and John cuts 3 yards, then John earns $60.
3 • 20 = 60
how do I find the value of a in 30=5a
Answer:
a = 30/5 = 6
Step-by-step explanation:
Answer:
a = 6
Step-by-step explanation:
You need to try to get "a" alone.
So, since the equation shows a is being multiplied by 5, you need to divide it by 5 to get "a" alone.
Whatever you do to one side, you must do the same to the other side.
So basically, you divide both sides by 5 to find "a"
Solving System equations using substitution
5x+2y=21
-x-y=-9
Can someone help solve this
Answer:
x = 1
Step-by-step explanation:
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
also you can use math_way to help solve this
Have a great day!
If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
A. 140 feet
B. 120 feet
C. 40 feet
D. 50 feet
Answer:
140
Step-by-step explanation:
200-60 = 140
Answer:
c
Step-by-step explanation:
Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.
hope that helped you.
Un móvil sale con una rapidez de 5m/s y alcanza una rapidez de 40m/s en 10s. Determine la distancia recorrida.
Answer:
d = 225 m
Step-by-step explanation:
Initial speed, u = 5 m/s
Final speed, v = 40 m/s
Time, t = 10 s
Acceleration,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2[/tex]
Let d is the distance covered. Using second equation of motion to find it i.e.
[tex]d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m[/tex]
So, it will cover 225 m.