The common ratio, r of the geometric sequence
24,−6,32,−38,... is -1/4
How to find common ratio of a geometric sequenceFirst term, a = 24Second term, = -6nth term of a geometric sequence = ar^(n-1)
n = number of termsCommon ratio, r = second term ÷ first term
= -6/24
= -1/4
r = -38/32
= -18/16
= -9/8
It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.
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Whenever she visits Oakdale, Karin has to drive 55 kilometres due north from home. Whenever she visits Brookfield, she has to drive 48 kilometres due east from home. How far apart are Oakdale and Brookfield, measured in a straight line?
Please show work <3
after simpiflying an equation, Juana gets 6=6. explain what this means
How do you solve 2x cubed + 3x squared -2x -3 = 0
What is the length of AC¯¯¯¯¯ ?
Enter your answer in the box.
The length of [tex]AC[/tex] is [tex]6[/tex].
Given:
In triangle [tex]ABC, \angle A\cong \angle C,AB=x+4,BC=3x-8,AC=x[/tex].
To find:
The length of [tex]AC[/tex].
Explanation:
In the given triangle, two angles are congruent and we know that the base angles of an isosceles triangle are congruent. It means the triangle [tex]ABC[/tex] is an isosceles triangle with [tex]AB=BC[/tex].
[tex]x+4=3x-8[/tex]
[tex]x-3x=-4-8[/tex]
[tex]-2x=-12[/tex]
Divide both sides by [tex]-2[/tex].
[tex]x=6[/tex]
Now,
[tex]AC=x[/tex]
[tex]AC=6[/tex]
Therefore, the length of [tex]AC[/tex] is [tex]6[/tex].
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a concrete patio is 5 2/3 feet wide. it has an area of 36 5/6 square feet. Is the concrete slab long enough to fit a 7 foot picnic table without placing the table along the diagonal of the patio? Explain
Answer:
No
Step-by-step explanation:
W are given that a concrete patio is [tex]5\frac{2}{3}[/tex] feet wide
and area of of concrete patio is [tex]36\frac{5}{6}[/tex]
We have to find out the length of concrete slab is 7 foot or not.
We know that area of rectangle =[tex]l\timesb[/tex]
Let length of concrete patio =x foot
Breadth of concrete patio =[tex]\frac{17}{3}[/tex] feet
Area of concrete patio =[tex]\frac{221}{6}[/tex]
Using formula
[tex]\frac{221}{6}=\frac{17}{3}\times x[/tex]
[tex]\frac{221}{6}\times \frac{3}{17}=x[/tex]
[tex]x=\frac{13}{2}[/tex] foot=6.5 foot
Hence, length of concrete slab is 6.5 foot not 7 foot.Therefore, 7 foot picnic table will no fit.
The concrete slab is not long enough to fit the picnic table.
The concrete patio is in the shape of a rectangle. A rectangle is an object that has four sides. The diagonal is the length from angle of the rectangle to the other angle of the rectangle.
The area of a rectangle = length x width
length = area / width
[tex]36\frac{5}{6}[/tex] ÷ [tex]5\frac{2}{3}[/tex]
Convert to improper fractions
[tex]\frac{221}{6}[/tex] ÷[tex]\frac{17}{3}[/tex]
[tex]\frac{221}{6}[/tex] x [tex]\frac{3}{17}[/tex] = [tex]\frac{13}{2}[/tex]
length = 6.50 feet
The length of the patio is less than the length of the picnic table.
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Hey principal evenly distribute six copies of paper to eat fifth grade teachers. How many copies of paper does the fifth graders teachers receive.
If Sawyer makes $15 an hour, which equation represents his earnings? Question 1 options: W = 15h W = 15/h W = h/15 W = 15 + h
the number of students enrolled at a college is 15,000 and grows 4% each year
The words regarding growth factor for the given blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ
What is growth factor?The growth factor refers to a specific part of an exponential function. This is the base of an exponential function.
Given is a black statement, we need to find the words to be filled in them,
a) The number of students enrolled at a college is 15,000 and grows 4% each year,
Since, the number of students at time of enrollment is 15000, therefore, the initial amount = 15000
b) The percent rate of change is 4%, so the growth factor b is 1 + ______ = ______
Here, the percent rate of change is for growth, therefore,
the growth factor = 1 + 0.04 = 1.04
c) To find the number of students enrolled after one year, you calculate
15,000....
To find the number of students after one year = 15000 × 1.04
d) Complete the equation y = ?
The equation for the same will be =
y = 15000(1.04)ˣ
Hence, the words regarding growth factor for the blanks are a) 15000, b) 0.04, 1.04, c) 15000 × 1.04 and d) y = 15000(1.04)ˣ
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4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?
what is 0.167 in a fraction
find the next three terms in this sequence 1,4,9,16,25
Fred had $165 dollars to get a shirt ,he got a 15% discount and and additional sales tax of 7,5%.what's his total?
What is the cost of the bill if a drink costs $3, a meal costs $20
PLS HELP ME ASAP algebra
can someone plz help me.
For f(x) = 5x +1 , find f(-4)
of 60 books on a bookself, 24 are nonfiction what percent of the books are not nonfiction?
3/9X18=? 7X3/4=? PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!1
how many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long
Answer:So 5/16 foot pieces from a 1 9/16 feet long piece of wood. OK so this is easy what we do is we do 1 9/16 divided by 5/16 which we switch 1 9/16 to 25/16 divided by 5/16 so we keep 25/16 switch the division symbol to a multiplication symbol and flip the 5/16 so now we have 25/16*16/5 which is 400/80 we can simplify to 5. So a 1 9/16 foot long board can make 5 5/16 pieces of wood.
Step-by-step explanation:
A student claims that the equation y=7 is not a linear equation because it does not have the form y=mx+b. Do u agree or disagree? Why?
A package of dried fruit weighs 1/2 of a pound if one serving size is 1/8 of a pound how many servings would be in the package
Simplify each expression by distributing and combing like terms
-9(m+2)+4(6-7m)
Which equation supports the given conjecture?
The difference of two odd numbers is an even number.
A.
23 – 19 = 4
B.
16 – 10 = 6
C.
17 – 12 = 5
D.
3 + 5 = 8
The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest earned. Solve this formula for T.
T = I + PR
T = I – PR
T = I divided by the quantity P times R
T = IPR
Answer:
C
Step-by-step explanation:
1.9r+0.1r=0.6 what s the value of r
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 3x
y = 1.4x
y = 2.2x
y=12x
Answer:
Step-by-step explanation:
Answer:
y=2.2x
y=3x
Step-by-step explanation:
Took the test and got it correct
vicki drives to and from the gym 2 days a week. The distance from her home to the gym is 13 miles. Over the course of 2 days, her car uses 1/8 of a tank of gas. Complete each sentence. Vicki drives a total of blank mi a week. To find the total number of miles that Vicki can drive with 1 tank of gas, she can blank by 18 .
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One weekend, Nate compared his history homework to his younger sister Caroline’s social studies homework. He found that for every 2 1−3 pages he had to read for homework, Caroline had to read one page for homework. How many pages did Nate read for every three pages Caroline read?
he read 2 1/3 pages to her one
so 2 1/3 * 3 =
7/3 * 3 = 21/3 = 7 pages
The triangle below has a total perimeter of 450 cm:
picture of a triangle with sides 128 and 150. Third side unknown
Write an equation and solve it to find the length of the longest side of the triangle.