The common ratio of the sequence is -1.5
How to determine the common ratio?The sequence is given as:
1,-1.5,2.25,-3.375
Divide the second term by the first to determine the common ratio (r)
r = T2/T1
This gives
r = -1.5/1
Evaluate
r = -1.5
Hence, the common ratio of the sequence is -1.5
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i need help with this question
19) Florence has a strip of clothing that is 8 feet long. About how many 2 feet strips can she cut from the 8-foot strip?
I really need help with this
Answer:
4
Step-by-step explanation:
8/2 is 4
Describe the slope of this line of best fit
Answer:
there is no line
What number would you add to both sides of x² + 7x = 4 to complete the square?
Answers:
A. 2²
B. 7²
C. 7²/2
D. [⁷/2]²
The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.
What is completing the squares method for solving the quadratic method?Suppose the considered quadratic equation is of the form
ax^2 + bx + c = 0
Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.
The given quadratic equation is
x² + 7x = 4
add 7²/2 to both sides of x² + 7x = 4 to complete the square
7²/2 = 49/4
x² + 7x + 49/4 = 4+ 49/4
(x + 7/2)² = 4+ 49/4
Thus, option C 7²/2 is correct.
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Riley took tests in science.
Each test had a different score.
The mean score of the tests was .
The median score of the tests was .
Based on this information, select the two statements that must be true.
A. At least one score was exactly 85%
B. At least one score was exactly 90%
C. More than half of the scores were 85% or greater.
D. More than half of the scores were 90% or greater.
E. There were no scores less than 90%
F. There were no scores less than 85%
Answer:c
Step-by-step explanation:heheh
Answer: C
Step-by-step explanation:
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.
Answer:
B
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
Quizlet also said so
find the value of x in the following equation 8x- 6=50
Answer:
x = 7
Step-by-step explanation:
8*7 - 6 = 50
help me solve this please help I will gave u brilliant answer
Answer: 1.) 3 2/3 2.) 2 9/10 3.) 9 11/15 4.) 7 11/12
B. Question 2,
My answer is reasonable, because if we round 1 7/10 to 2 and 1 1/5 to 1
2+1=3 and my answer is 2 9/10. This estimate makes sense because 2 9/10 can be rouned to 3, meaning it is reasonable.
Step-by-step explanation:
1 1/6 + 2 3/6= 3 4/6
Simplifyed=3 2/3
1 7/10 + 1 2/10 = 2 9/10
7 5/15 + 2 6/15= 9 11/15
4 8/12 + 3 3/12= 7 11/12
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Which of the following linear functions have a y-intercept of 4? Select all that apply.
y = 4
x=4
Ug=2z 8
y=x+4
y=-2 +4
Answer:
y=4
y=x+4
y=-2+4
Step-by-step explanation:
the trick is to consider x as 0.
A group of 31 friends gets together to pay a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?(It is possible that not everyone can be on a team)
Answer:
10 teams (1 remainder)
Step-by-step explanation:
if each team has 3 players and there are 30 friends, divide that and youll end up with 10 teams. you will also have 1 remaining player
18. The desired density of the shaved ice is 0.697 g/cm3, and the cost, per kilogram, of ice is $3,83. Determine
and state the cost of the ice needed to make 50 snow cones.
The cost of the ice needed to make 50 snow cones is $54.50.
What is cost of the ice?The first step is to determine the volume of the snow cone.
Volume of the snow cone =volume of a cone + volume of the hemisphere
Volume of the cone = 1/3πr²h
1/3 x 3.14 x 10.2 x (8.3/2)² = 183.87 cm³
Volume of the hemisphere = 2/3πr³
2/3 x 3.14 x (8.3 / 2)³ = 224.43 cm³
Total volume = 224.43 cm³ + 183.87 cm³ = 408.30 cm³
Volume of 50 snow cones = 408.30 cm³ x 50 = 20,414.82
Total grams of ice needed = density x volume
0.697 x 20,414.82 = 14,229.13 grams
Convert gram to 1kg
1kg = 1000g
= 14,229.13 grams / 1000 = 14.23kg
Cost of the ice = 14.13 x 3.83 = $54.50
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Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.
Area = [?]in2
Answer:
see the attachment photo!
Answer: The correct answer is 135 in².
Step-by-step explanation: An area of a polygon is this:
Area = (number of sides × length of one side × apothem)/2
(5 x 6 x 9) / 2 = 135
What’s the result of adding these two equations? Please help
Answer:
u should subract those not add
Solve the following equation by factoring
8x²-9x-14=0
Answer:
[tex]x = 2\\ \\x= -\dfrac 78[/tex]
Step-by-step explanation:
[tex]~~~~~~~8x^2 -9x -14=0\\\\\implies 8x^2+7x-16x-14=0\\\\\implies x(8x+7)-2(8x+7)=0\\\\\implies (x-2)(8x+7) = 0\\\\\implies x = 2,~ x= -\dfrac 78[/tex]
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold?
A total of 720 tickets were sold for the school play. They were either adult tickets or student tickets is mathematically given as
How many adult tickets were sold?Generally, the equation for a sold tickets is mathematically given as
S=x+72
Therefore
x+x+72=772
2x+72=772
2x=772-72
x=350
In conclusion, tickets sold was
x=350
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Jennifer serves the volleyball to Marsha with an upward velocity of 10.5 ft/s. The ball is 5 feet above the ground when she strikes it. How long does Marsha have to
react, before the volleyball hits the ground? Round your answer to two decimal
Answer:
0.98 seconds
Step-by-step explanation:
We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.
__
motion equationThe general form of the equation of height for ballistic motion is ...
[tex]h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}[/tex]
The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.
For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...
h(t) = -16t² +10.5t +5
__
reaction timeMarsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...
a = -16b = 10.5c = 5The solution is ...
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}[/tex]
The positive solution is ...
t ≈ 0.976327 ≈ 0.98
Marsha has about 0.98 seconds to react before the volleyball hits the ground.
_____
Additional comment
After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.
Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
22,500 = 2 p
2 (22,500) = p
22,500 = 2 p minus 8
2 (22,500) = p minus 8
An equation is formed of two equal expressions. The correct option is A.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,
Price of new car = 2 (Price of the previous car)
22,500 = 2p
Hence, the correct option is A.
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Answer: a
Step-by-step explanation:
NEED HELP
(8.02-8.05)
Solve the systems of equations below using the method indicated in each part of the table. Be sure to show ALL your work for each method in order to get full points! (15 points)
The solutions to the systems of equations are:
1. (2, 3) (see attachment below). [one solution]
2. no solution
3. (3, 13) [one solution]
Solution to a System of Equations?The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.
1. Using graph to solve y = 2x - 1 and y = 4x - 5:
The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]
2. Solving using substitution method:
x = -5y + 4 ---> eqn. 1
3x + 15y = -1 ---> eqn. 2
Substitute x = -5y + 4 into eqn. 2
3(-5y + 4) + 15y = -1
-15y + 12 + 15y = -1
-15y + 15y = -1 - 12
0 = -13 (this shows that there is no solution)
3. Using elimination method:
14x = 2y + 16 ---> eqn. 1
5x = y + 2 ---> eqn. 2
1(14x = 2y + 16)
2(5x = y + 2)
14x = 2y + 16 ----> eqn. 3
10x = 2y + 4 -----> eqn. 4
Subtract
4x = 12
x = 12/4
x = 3
Substitute x = 3 into eqn. 2
5(3) = y + 2
15 = y + 2
15 - 2 = y
13 = y
y = 13
The solution is: (3, 13).
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2. A function fis given by f: x→ 5x-8, where x € R. Find
a. f(-4)
b. the value of x whose image is 12
Answer:
a. -28b. 4Step-by-step explanation:
f: x→ 5x-8
a. f(-4) = 5(-4) - 8 = -20 - 8. = -28
b. the value of x whose image is 12
To find the value of x ,we have to solve f(x) = 12
f(x) = 12
⇔ 5x-8 = 12
⇔ 5x = 12 + 8
⇔ 5x = 20
⇔ x = 20 ÷ 5 = 4
the function f and g are defined follows. f(x)= x+6/x^2-12x+36 g(x) = x+7/x^2-49 for each function, find the domain. write each answer as an interval or union of intervals
Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.
How to find the domain of a function?The domain of a function is the set of all input values that make the function possible.
Now, for f(x) = (x + 6)/(x² - 12x + 36)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 12x + 36 = 0
Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;
Domain = {x | x ≠ 6}
Now, for g(x) = (x + 7)/(x² - 49)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 49 = 0
Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}
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hey can someone help me on this"in your own words describe when you should use area and when you should use volume in calculating the amount of space an object occupies.
Answer:
Normally,in calculating the amount of space an object occupies...the volume method is require due to 3 dimensional rule,vice versa an area
A family plan for a cell phone has a monthly base price of $75 plus $10.99 for each additional family member added beyond the primary account holder. The linear function to model the monthly cost C(x) (in $) of a family for x additional family members added is C(x)=
The linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
How to get the linear equation?
Here we know that the plan has a fixed price of $75 plus $10.99 for each family member added beyond the primary account holder.
Then if there are x family members added, the cost will be:
$75 + $10.99*x
Then the linear equation that models the cost for having x additional family members added is:
c(x) = $75 + $10.99*x
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1. Solve the quadratic function by graphing. x²-3x - 18 - 0
Answer:
that's easy all you have to do is find out what is the value of x then divided by 2 once you divide by 2 subtract 3x 18 and 0
HELPP PLEASE!!!
Harry is 5 years older than his sister, and the product of their
ages is 84.
Let h represent Harry's age, then h- 5 represents his
sister's age, and h (h-5) = 84 models the situation.
The equation can also be written as h² - 5h = 84.
Rewrite the equation so that it is in the form polynomial = 0.
Enter the polynomial, in standard form, in the box.
= 0
Answer:
See below
Step-by-step explanation:
h^2 - 5h = 84
h^2 - 5h - 84 = 0
Which equation matches the graph of the greatest integer function given
below?
Answer:
B
Step-by-step explanation:
Hope this will help on the problem
Write an expression to describe the
situation.
A car travels 50 miles per hour, h. What expression
represents the total distance you've traveled?
Answer:
m = 50h, where m is the distance traveled in miles
jackson bought 3 pounds of candy for $9.60.
What was the price of this candy in cents per pound ?
PLS HELP ITS DU IN 5 MIN !!!!!!!!!!!!!!!!!!!!!!
Answer:
320 cents per pound
Step-by-step explanation:
so we do 9.60 divided by 3, which is 3.20. So, 3.20 for each pound. Now we need in cents. 3 dollars is 300 cents, plus another 20, so 320 cents. I hope this helped.
Work out the length of
x.
Give your answer rounded to 3 significant figures.
The triangle is an isosceles right triangle. Then the value of x will be 1.27 cm.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The right-angle triangle is given below.
The given triangle is an isosceles right triangle.
P = B = x
Then we have
1.8² = x² + x²
2x² = 3.24
x² = 1.62
x = 1.27 cm
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Andrew's number is 4 less than Sophia's number. The
sum of their numbers is 46. Find the numbers