Answer:
First term = 160
Common ratio = 3/2
Step-by-step explanation:
The 3rd term and the 6th term of a G.P are 360 and 1215
The terms are 3 terms apart so find the cube root of the ratio between the 6th and the 3rd term as;
[tex]\frac{1215}{360} =\frac{27}{8} \\\\\sqrt[3]{\frac{27}{8} } =\frac{3}{2} \\\\\\=\frac{3}{2}[/tex]
The common ratio is : 3/2
To find the first term, divide the third term by the common ratio to get the second term then do that to the second term to get the first term
360 / 3/2
360 *2/3 = 240 -----2nd term
240/ 3/2
240 * 2/3 = 160 ------1st term
Find the distance between the points (-4,-2) and (4,3)
Answer:
9.433981132
Step-by-step explanation:
To learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points, and I used my calculator to do so.
Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100
Domain: ____
Range: ____
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
absolute value inequalities
|3-4x|<3
Answer:
|3-4x|<3
Step-by-step explanation:
3-4x<3
-4x<0
x>0
3-4x>-3
-4x>-6
x>3/2
Of the 200 students in the school, 79% can play an instrument. How many students cannot play
an instrument?
A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?
Answer:
21
Step-by-step explanation:
because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21
Name the coefficients in a +2a+3a-4a
Answer:
2,3,4
Step-by-step explanation: there next to veribuls
William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?
Answer:
I'm a bit confused, but it would cost $1.20 to make a dozen cups of lemonade
Step-by-step explanation:
0.30 divided by 3 is 0.10, and a dozen is twelve which makes the problem 0.10x12 which equals $1.20
solve for the variable x+9=12
Answer:
Step-by-step explanation:
subtract 9 from both sides
x=3
Answer: x = 3
Step-by-step explanation: x = 12 - 9
Solve for the missing angle. Round to the nearest hundredth.
18
?
13
? =
degrees
Answer:
[tex]\theta \:=43.76^{\circ \:\:}[/tex]
Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
The adjacent to Ф = 13The hypotenuse = 18so
cos Ф = adjacent/hypotenuse
[tex]cos\:\theta \:=\frac{13}{18}[/tex]
[tex]\theta \:=\cos ^{-1}\left(\frac{13}{18}\right)[/tex]
[tex]=43.76^{\circ \:}[/tex]
Therefore, the missing angle is:
[tex]\theta \:=43.76^{\circ \:\:}[/tex]
3 is to 14 as 12 is to what number?
O 3.5
O 2.6
O 42
O 56
Answer:
12 is to 56
Step-by-step explanation:
hope it helped have a good day :))
I need help with this equation
Answer:
Here:)
Step-by-step explanation:
x= -8
Answer: x = -8
Step-by-step explanation:
8x = 4x - 32
subtract 4x from both sides
4x = -32
divide by 4 on both sides
x = -8
:)
At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.
Please write the two equations algebraically and then solve :)
Answer:x = 200 students
y = 300 non-students
Step-by-step explanation:
5x + 10y = 4000
x + y = 500
Set y = 500-x
5x + 10(500-x) = 4000
5x + 5000-10x
-5x + 5000 = 4000
-5x = -1000
x = 200 students
y = 300 non-students
Let's double checks
5(200) + 10(300)
1000 + 3000 = 4000
Find all polar coordinates of point P where P = (9,pi divided by 5).
Answer:
(-9, π/5 + (2n + 1)π)
Step-by-step explanation:
Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:
(9, π/5 + 2nπ), for any integer n
Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:
(-9, π/5 + (2n + 1)π), for any integer n
Help I need an answer as soon as possible
Answer:
charlie is the one,im pretty sure
Help ill give brainlist
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
American football is a variation of what game?
Soccer
Speedball
Field Hockey
Rugby
Answer:
Rugby
Step-by-step explanation:
They're the most similar.
Soccer you play with only your feet
Speedball you kick the ball around
Field hockey uses a stick
Can someone help me solve this equation? x2 + x - 30 = 0
Answer:
x = 10
Step-by-step explanation:
x x 2 + x - 30 = 0 use the commutative property to reorder the terms
2x + x - 30 = 0 collect like terms
3x - 30 = 0 move constant to the right hand side and change its sign
3x = 30 divide both sides of the equation by 3
x = 10
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Answer:
0.45 cents
Step-by-step explanation:
We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.
2.70 ÷ 6 = 0.45
Therefore each pencil costs $0.45
I hope this helps, have a great day! :)
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number
Answer:
29%
Step-by-step explanation:
0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)
Hope this helps!
Answer:
29%
Step-by-step explanation:
0.28571428571 is the original number which makes 29%
Hope this helps! Have a great day :)
Samantha has $300 for guitar lessons to learn her favorite song. Mrs. Jones charges $80 per lesson and requires three lessons to teach Samantha the song. Mr. Beliz charges $62 per lesson and requires four lessons to teach Samantha the song. Use integers to represent what each teacher charges. Which is the better deal for Samantha?
Answer:
Mrs. Jones has the better deal
Step-by-step explanation:
Samantha has $300
Mrs. Jones charges $80 per lesson and she requires three so we do 80* 3 (the lessons) which equals 240
Mrs. Beliz charges $62 per lesson and requires 4 lessons so we do 62*4 (the lessons) which equals 248
240<240 (so Mrs. Jones has the better deal, she wants less money)
Answer:
Mrs. Jones
Step-by-step explanation:
Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
Help me now plz it do in 30 min
Answer:
For the first row, write 5(0)-1 = 0-1. y is equal to -1.
For the second row, write 5(1)-1 = 5-1. y is equal to 4.
For the third row, write 5(2)-1 = 10-1. y is equal to 9.
For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.
Step-by-step explanation:
Hope this helps!
ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (2, 2), B = (4, 3), and C = (6, 3), what is the length of ?
Answer:
Fourth option is correct. The length of B'C' is 1 unit.
Step-by-step explanation:
The vertices of triangle ABC are A = (2, 2), B = (4, 3), and C = (6, 3).
Distance formula:
The length of BC is 2 units.
It is given that ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image ΔA′B′C′.
It means the ΔABC and ΔA′B′C′ are similar and corresponding sides of ΔA′B′C′ and ΔABC are proportional.
The scale factor is 0.5.
Therefore the length of B'C' is 1 unit and fourth option is correct
Answer:
D= 1 unit
Step-by-step explanation:
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.
The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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