Answer:
The common ratio r is -7.
Step-by-step explanation:
The common ratio of a geometric sequence is the division of the term [tex]a_{n+1}[/tex] by the term [tex]a_{n}[/tex].
In this problem, we have that:
[tex]a_{1} = 2, a_{2} = -14, a_{3} = 98, a_{4} = -686[/tex].
So the common ratio r is:
[tex]r = \frac{-14}{2} = \frac{98}{-14} = \frac{-686}{98} = -7[/tex]
The common ratio r is -7.
Divide mixed numbers
Write the mixed number(s) as_(blank)_fractions
Write the_(blank)_ of the divisor
Multiply as with _(blank)_.Simplify
What does use a multiplicative comparison to explain its meaning mean?
If Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy). How many green tiles does she need?
The required number of green tiles is 48
Given that,
Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy), How many green tiles she need is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
total number of tiles = 288
half of the tiles = 288 / 2 = 144
Now this half number of tiles is divided into 3 equal parts, in (green, yellow, burgundy)
= 144 / 3
= 48
So, she needs 48 green tiles.
Thus the required number of green tiles is 48.
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Output all of the numbers and their squares between 1 and 10 using a do while loop
how can 32 ounces: 8 pints be simplified
Sixteen more than a number is 48 which equation models this sentence
A 16n = r8
B n - 16 = 48
C n + 16 = 48
D n ➗ 16 =48
After a substance abuse counselor has acquired 20,00 hours of counseling experience and has remained in good standing with their board certification, they are considered professionally co.petent and are non LONGER required to seek ongoing education?? True or false
Find the approximate side length of a square game board with an area of 164 in2
There are 20 sixth grader and 25 seventh grader in the junior scholar club. For their first community service project, the Scholar Club president wants to organize the club members into equal-size groups. Each Group will have only sixth graders or only seventh graders.
A) How many students will be in each group if each group has the greatest possible number of members?
B) If each group has the greatest possible number of club members, how many groups of sixth graders and how many groups of seventh graders will there be? Please show the work and answers.
Answer: a) Each group has 5 members as its greatest possible.
b) There are 4 groups of sixth graders and 5 groups of seventh graders.
Step-by-step explanation:
Since we have given that
Number of sixth grader = 20
Number of seventh grader = 25
We need to find the greatest possible number of members in each group will contain:
For greatest possible number we will find "Highest common factor (H. C.F) of 20 and 25 = 5
a) Each group has 5 members as its greatest possible.
b) Number of groups of sixth graders would be
[tex]\dfrac{20}{5}=4[/tex]
Number of groups of seventh graders would be
[tex]\dfrac{25}{5}=5[/tex]
Hence, there are 4 groups of sixth graders and 5 groups of seventh graders.
A student must take one physics, one chemistry, and one mathematics course during their junior year of high school. There are three courses to choose from for physics (P1, P2, P3), two courses to choose from for chemistry (C1, C2), and two courses to choose from for mathematics (M1, M2). How many possible combinations are there for the three physics, chemistry, and mathematics courses a student could select?
find the quotient for 4 over 5389
Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
Answer:
Since, by the quadratic formula,
The solution of a quadratic equation [tex]ax^2+bx+c=0[/tex] is,
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here, the given quadratic equation,
[tex]5-10x-3x^2=0[/tex]
[tex]-3x^2-10x+5=0[/tex]
By the above formula,
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^2-4\times -3\times 5}}{2\times -3}[/tex]
[tex]=\frac{10\pm \sqrt{100+60}}{-6}[/tex]
[tex]=\frac{10\pm \sqrt{160}}{-6}[/tex]
[tex]=\frac{5\pm 2\sqrt{10}}{-3}[/tex]
[tex]\implies x=-\frac{5+2\sqrt{10}}{3}\text{ or }x=-\frac{5-2\sqrt{10}}{3}[/tex]
Choose the constant term that completes the perfect square trinomial x 2 - 18x
The correct answer should be +18
Ralph sold brownies for $0.66 a piece in order to earn money to buy baseball cards. If the cards cost $0.90 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
The map of a biking trail is drawn on a coordinate grid.
The trail starts at P(−2, 1) and goes to Q(6, 1).
It goes from Q to R(6, −3) and then to S(9, −3).
What is the total length (in units) of the biking trail?
Please help me!
A pair of shoes is on sale for $29.95. What will the sales tax on the shoes be if the sales tax rate is
7 1/2%?
$1.99
$2.10
$2.25
$2.99
Option C)The sales tax will be $2.25.
Convert the sales tax rate from a percentage to a decimal,
7.5% becomes 0.075.
Multiply the decimal by the total cost of the shoes,
0.075 × 29.95
= 2.24625.
$2.25.
Therefore, the sales tax on the shoes will be $2.25,Option C
When all seats are filled, a Ferris wheel can take 72 people for a rude. There are 313 people waiting to ride the wheel. Which drawing represents the number of rides with all the seats filled. Is the answer B?
A different species of cockroach has weights that follow a normal distribution with a mean of 50 grams. after measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. based on this report,what is the approximate standard deviation of the weights for this species of cockroaches?
To find the standard deviation of the weights of a species of cockroach when it is known that 14% weigh more than 55 grams, you can use the Empirical Rule of a normal distribution and solve using the given mean and the equivalent standard deviation for the 14% threshold. The estimated standard deviation in this case is around 4.63 grams.
Explanation:Your question is about using statistical information about a normally distributed population - in this case, the weights of a certain species of cockroach - to estimate the standard deviation of that population.
One thing we know about normally distributed data is that approximately 68% of all measurements fall within one standard deviation (either above or below) of the mean, about 95% fall within two standard deviations, and about 99.7% fall within three standard deviations. This is often referred to as the Empirical Rule or 68-95-99.7 rule.
According to the information provided, 14% of the cockroaches in the studied population weigh more than 55 grams. On a standard normal distribution, 14% represents approximately 1.08 standard deviations above the mean (you can find this value on a standard normal distribution table). Since we know that the mean weight is 50 grams, we can set up the following equation to solve for the standard deviation:
50 (mean weight) + 1.08 (standard deviation equivalents for 14%) * σ (standard deviation) = 55
Solving for σ we find that the standard deviation σ for the population of these cockroaches is approximately 4.63 grams.
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Find the critical numbers of the function.
g(y) = y − 3 / y2 − 3y + 9
To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist. By following the steps above, we find that the function has no critical numbers.
Explanation:To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist.
First, find the derivative of g(y) using the quotient rule: g'(y) = (1*(y^2 - 3y + 9) - (y - 3)*(2y - 3)) / (y^2 - 3y + 9)^2. Simplify g'(y) by expanding and collecting like terms to get g'(y) = 6y^2 - 24y + 24 / (y^2 - 3y + 9)^2. To find the critical numbers, set g'(y) equal to zero and solve for y. In this case, there are no real solutions. Next, check for values of y where g'(y) does not exist. In this case, there are no such values.
Therefore, the function g(y) = (y - 3) / (y^2 - 3y + 9) has no critical numbers.
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given b(x)=|x+4| what is b(-10)
Answer:
Given that b(x)=|x+4| value of b(-10) is:
6
Step-by-step explanation:
|We are given that:
b(x)=|x+4|
We have to find the value of b(-10)
Putting x= -10 in above equation, we get
b(-10)=|-10+4|
=|-6|
=6
Hence, given that b(x)=|x+4| value of b(-10) is:
6
The expression 62.4d - 210 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange.
How many Indian rupees do you receive when you exchange $13?
I need help with this problem
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange. What is the total weight in grams for the pineapple and the orange?
0/1 points | previous answers devorestat9 4.e.041. ask your teacher my notes question part points submissions used the automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 m above the ground. suppose opening altitude actually has a normal distribution with mean value 200 and standard deviation 31 m. equipment damage will occur if the parachute opens at an altitude of less than 100 m. what is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes? (round your answer to four decimal places.)
will the standard form 3.2 x 10 -4 be more or less than 1 Explain what effect the negative exponent has
List all integers between −100 and 100 that are congruent to −1 modulo 25.
"-1 modulo 25" is "1 less than a precise
multiple of 25".
So what are the exact or precise multiples of 25 in the appropriate
interval?
It is -75, -50, -25, 0, 25, 50, 75, and 100.
Now just subtract 1 from each of them.
So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.
Your answer A chef buys 5.46 pounds of ground turkey to make some casseroles. Each casserole requires 0.13 pound of turkey. How many casseroles can the chef make?
Joan invests $4000 in an account that earns 3% simple interest. How much will Joan have in the account in 10 years?
4 gallons of gas cost 16.80. what is the price per gallon?
( 10x-20) (6x + 8) what is the value of x
The solution is, the value of x is 7.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
(10x-20)=(6x+8)
We simplify the equation to the form, which is simple to understand
(10x-20)=(6x+8)
Remove unnecessary parentheses
10x-20=(6x+8)
Remove unnecessary parentheses
10x-20=6x+8
We move all terms containing x to the left and all other terms to the right.
+10x-6x=+8+20
We simplify left and right side of the equation.
+4x=+28
We divide both sides of the equation by 4 to get x.
x=7
Hence, The solution is, the value of x is 7.
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A restaurent sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?