Answer:
[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]
Step-by-step explanation:
[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]
[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]
it,s not a geometric sequence...
I think it should be:
[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]
[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]
[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]
Convert improper fractions to mixed numbers
Convert:
Answer:
9 (5/12)
9 (1/2)
3 (3/5)
6 (1/4)
6 (1/4)
5 (1/5)
4 (1/3)
9 (3/4)
6 (4/5)
5 (2/5)
6 (5/8)
7 (1/5)
5 (1/2)
5 (5/8)
8 (2/5)
Step-by-step explanation:
I simplified the fractions too.
4(x+y) distributive property
Find the area of the trapezoid shown and choose the appropriate result
Answer:
B: 13.5 in^2
Step-by-step explanation:
The average length of this trapezoid is (4 in + 5 in)/2, or 4.5 in.
The height is 3 in.
Thus, the area is A = (average length)(height) = (4.5 in)(3 in) = 13.5 in^2
product of 2,4,6 please tell
Answer:
Product of 2,4,6 is 48❤️❤️❤️❤️
Ben and timothyshare some money in the ratio of 3:4. Ben got $21, how much does timothy
gets?
Answer:
$28
Step-by-step explanation:
$21 is 3/7
1 part = $7
4x7=28
What is the 4th equivalent fraction to 1/3?
Complete the square for 5x2 – 30x = 5.
O A. (x - 3)2 = 10
O B. (5x - 3)2 = 8
O C. (5x - 3)2 = 14
O D. (x + 3)2 = 10
By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
How to transfrom a given second order polynomial into its standard formThe standard form of a parabola is a synthetic form that brings useful information of the geometric locus. This form is derived by applying the method of completing a square, which is based on algebra properties to transform and reduce a part of a second order polynomial into a perfect square trinomial.
Now we proceed to show the procedure to obtain the expression equivalent to the polynomial described in the statement:
5 · x² - 30 · x = 5
x² - 6 · x = 5/6
x² - 6 · x + 9 = 59/6
(x - 3)² = 59/6
(x - 3)² = 9.833
By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
To learn more on completing the square, we kindly invite to check this verified question: https://brainly.com/question/4822356 #SPJ5
Select the three correct ways to describe an angle with a measure of 9
Answer:
uhh you forgot the picture
The store is offering a 15% discount .
The regular price of a hat is $18 , what is the discount price?
Answer:
$15.30
Step-by-step explanation:
easy question ill give brainliest
Answer:
Middle one
Step-by-step explanation:
Answer:
y=10xz
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST The function h(t)=- 16t^2 +92t describes the height of a model rocket. Use technology to graph the
function and answer the questions below. Round your answers to the nearest hundredths (3 points)
a. At what times is the model rocket at a height of 100 feet?
b. For how long is the rocket in the air?
Answer:
Step-by-step explanation:
100 = -16t^2 + 92t
16t^2-92t + 100 = 0
4t^2 - 23t + 25 = 0
t = [23 ±√(23^2-4(4)(25))]/[2(8)] ≈ 1.5, 4.3
The rocket has altitude of 100 ft at 1.5 sec and 4.3 sec.
:::::
0 = 16t^2-92t = t(16t-92)
t = 0, 5.75
Rocket is in the air for 5.75 seconds
for every 5 red cars there are 8 black cars. If there are 24 more black cars than red cars how many total vehicles are there
Answer:
15 red cars + 24 black cars = 38
The total vehicles are 104.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For every 5 red cars there are 8 black cars.
And, There are 24 more black cars than red cars.
Here, For every 5 red cars there are 8 black cars.
Hence, Number of red cars = 5x
Then, Number of red cars = 8x
And, There are 24 more black cars than red cars.
Hence, We get;
⇒ 24 + 5x = 8x
Solve for x as;
⇒ 24 = 8x - 5x
⇒ 24 = 3x
⇒ x = 8
Thus, Number of total vehicles = 5x + 8x
= 5×8 + 8×8
= 40 + 64
= 104
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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what is 921-588? im in fifth grade but its too hard for me
Answer:
333 use a calculator LOL
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83 hour who runs faster
Answer:
Maura runs faster
Step-by-step explanation:
Set them up as fractions:
miles / hours, then divide to
compare the results:
Maura: 5 / 1.25 = 4 MPH
Ava: 3 / .83 = 3.6 MPH
Answer:
Maura.
Step-by-step explanation:
Maura:
5 miles/1.25 hours = 4 mph
Ava:
3 miles/(.83 hours) = 3.61 mph
Maura ran faster.
Josie wants to hang a “Happy Birthday” banner across the diagonal of a rectangular opening that has a width of 9 feet and a height of 12 feet.
How many inches long should the banner be?
Length of banner is 15 feet
Given that;
Width of rectangle = 9 feet
Length of rectangle = 12 feet
Find:
Length of banner
Computation:
Length of banner = Length of diagonal
[tex]Length\ of\ diagonal = \sqrt{Length^2 + Width^2}\\\\ Length\ of\ diagonal = \sqrt{12^2 + 9^2}\\\\ Length\ of\ diagonal = \sqrt{144 + 81}\\\\ Length\ of\ diagonal = \sqrt{225}\\\\ Length\ of\ diagonal = 15 \ feet[/tex]
So,
Length of banner = 15 feet
Learn more:
https://brainly.com/question/16167300?referrer=searchResults
find the difference
1. 4-3/5
2.5-4/7
3.6-2/3
4.5-7/8
5.7-2/5
1) with 3/5 as a fraction one whole number can be written as 5/5
so you could rewrite 4 as 3 and 5/5 now subtract 3/5 and you are left with
3 and 2/5
2) one whole number can be written as 7/7
Now you have 4 and 7/7 minus 4/7 to get 4 and 3/7
Using the same steps for the rest:
3) 5 and 3/3 -2/3 = 5 and 1/3
4) 4 and 8/8 - 7/8 = 4 and 1/8
5) 6 and 5/5 - 2/5 = 6 and 3/5
A
The length of Kathy's rectangular
garden is 4 feet more than the width. If
the perimeter of her garden is 40 feet,
what is the length of Kathy's garden?
Half the perimeter is the length + the width.
Let the width = x
The length is x + 4. ( 4 feet more than the width)
Now you have x + x + 4 = 20
Combine like terms:
2x + 4 = 20
Subtract 4 from both sides:
2x = 16
Divide both sides by 2:
X = 8
The width is 8 feet
The length is 8 + 4 = 12 feet
Answer:12
Step-by-step explanation:
because im smart
four circles with no one common tangent drawing
Answer:
im sorry i dont know it
Step-by-step explanation:
hope u have a good day
the expression
17x + 50 - 12 x + 1
Answer:
5x+51
Step-by-step explanation:
PLS HELP I DONT UNDERSTAND !
Answer:
I think the answer is 24
Step-by-step explanation:
hope its helpful
which of the lines graphed has a slope of -2 and a y-intercept of 3
Answer:
I think b
Step-by-step explanation:
need a better quality photo
Answer:
B
Step-by-step explanation:
It's a little hard to see but I'm pretty sure it's B because we're looking for a graph that has a slope of -2 so it couldn't be A or D because they have positive slopes since they are pointing up. That leaves B and C. I can't really see but C doesn't look like it has a slope of -2, so I went with B because it has a y-intercept of 3 and looks like it has a slope of -2.
Find the product: (1.2) · (0.11)
Answer:
The answer is 0.132
Step-by-step explanation:
12/10*11/100
132/1000
=0.132
Find the product of (x2 -4xy + y2) (x – 2y) if x = 3 and y = 2
Step-by-step explanation:
Please refer to the attachment
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this information
Yall, is this correct? And sorry for my bad handwriting for the answer btw-
Tap on image above I need help please help! You don’t have to answer all just the ones you can do please and thank you
Hello,
If you have noticed they are all right angles, which means you can use Pythagorean theorm.
1. a^2 = 40^2 + 9^2
= a^2 + 1600 + 81
= 1681
a^2 = 1681
sovle for "a"
a = 41
hope this helps.
in the table approximately how much gallons does an average household use every day for showers and for the toliet
Answer:
238 gallons
Step-by-step explanation:
81 + 60 + 53 + 44 = 238
134 Step-by-step explanation:
Could anyone help me with this question please?
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
anyone can answer this ill give brainliest
Answer:
15
Step-by-step explanation:
trust me
Answer: 5 plus 2 times 10=25
Step-by-step explanation:
If a number is doubled and 12 is added to it. The result is 40 what's the number
Answer:
To solve for n, working backwards can help a lot.
Step-by-step explanation:
The last step we took to result in 40 was to add 12. Therefore, working backward would acquit us to subtract 12.
40 - 12 = 28
After we have done that, we need to observe the first step that we took. This was to double n. Similar, to the last order of operations we took in the previous step, we need to perform the opposite of doubling a number. Because the number is being doubled, it is being multiplied by itself. For example, if we double 4, we would receive 8. Likewise, 4² is 8. So, what is the opposite of multiplication? Well, it's division of course!
28 ÷ 2 is 14.
Therefore, n is 14.