Answer:
x=-28
Step-by-step explanation:
-x+4=32
-x=32-4
-x=28
x= -28
Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
What is the approximate area of the circle shown below ? 17cm
Answer:
It's B, 908cm^2
Step-by-step explanation:
A=3.14xr^2.
Answer:
The answer is B, 908cm²
Step-by-step explanation:
Just Completed This quiz
Mai’s kitchen table measures 4 cm by 2.5 cm on the scale drawing.
Answer:
nice
Step-by-step explanation:
Im not sure what I have to solve here....
At Penny's Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
$16
Step-by-step explanation:
Answer: its was he/she said which $16
Step-by-step explanation: there is none :)
9 hundreds equals how many tens
Answer:
90 tens
Step-by-step explanation:
900 = 10x
Variable x refers to how many 10's are needed to equal 900
To solve for this, divide both sides of the equation by 10
900 ÷ 10 = 10x ÷ 10
90 = 1x
90 = x
It will take 90 tens to equal 900
Convert 50.0 mL to liters. Use the appropriate significant figures
Answer:
50 ml = 0.050 liters
Step-by-step explanation:
The solution is:
The mass/volume percent = 16/50 x 100% = 32%
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Explanation
Given:
Mass of NaCl, m = 16.0 g
Volume of solution, v = 50.0 mL
What to find:
The mass/volume percent.
Solution
The mass/volume percent of the solution can be calculated using the formula below
The mass/volume percent = mass/volume x 100%
so, we get,
The mass/volume percent
= 16/50 x 100%
= 32%
Hence, The mass/volume percent is 32%.
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complete question;
Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.
Brady is working part time.
He gets paid $7.50 an hour and $5 tip per table.
If Brady worked 10 hours this week, and served 12 tables, how much money did Brady earn?
Answer: brady earned 135 dollars this week.
Step-by-step explanation: 7.50 X 10 + 5 X 12 is 135.
please answer fast
(0,3);slope=-2
Answer:
y = -2x + 3
Step-by-step explanation:
plug what you know into y=mx+b3 = -2(0)+b3 = 0 + bb = 3Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added
Complete question :
Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.
1. Standard deviation 11) Median 111) Mean
Answer:
Standard deviation - increased
Median - cannot be determined
Mean - decrease
Step-by-step explanation:
The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.
The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
Michael to 12 tests in his math class.
His lowest test score was 78.
His highest test score was 98.
On the 13th Test, he earns a 64.
Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.
The standard deviation will increase because the gap between the mean and 64 will increase.
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
More about the statistics link is given below.
https://brainly.com/question/10951564
what is -0.5 repeating(5 in the tens place is repeating) as a fraction?
Answer:
-1/2
Step-by-step explanation:
what is 8 1/2 times 11
Answer:
93 1/2
Step-by-step explanation:
4
13) While shopping for a gift, you find the perfect wallet on sale
for 89% off its original $5.62 price. How much will you pay for
the wallet?
I
14) A wallet is marked with a sale sticker saying it is 76% off
The original price is $57.41. What is the sale price?
15) Originally priced at $48.69, a wallet was found on a 10% off
rack. What is the sale price of the wallet?
Answer:
13) 0.61 cent
14) 13.78 $
15) 3.82 $
Step-by-step explanation:
Hope this helps
The required solutions are given as,
13) Discounted price of the walled 0.61 cents,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
(1)
The perfect wallet is on sale for 89% off its original $5.62 price,
Discounted price, = 5.62 - 89% of 5.62
= 5.62 - 0.89 × 5.62
= 5.62(1 - 0.89)
= 5.62(0.11)
= 0.61 cents
Similarly,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
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- A recipe for ice cream calls for 56 fluid
ounces of milk. How many pints of milk are
there in the recipe?
Answer:
3.5
Step-by-step explanation:
there are 16 ounces in a pint so you do 56 ÷ 16
There are 16 fluid ounces in one pint which means that there are 3.5 pints in 56 fluid ounce.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Then suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
WE have been given a recipe for ice cream calls for 56 fluid ounces of milk.
We need to find How many pints of milk are there in the recipe.
There are 16 fluid ounces in 1 pint then;
56 ÷ 16
= 3.5
The answer is 3.5 pints because there are 16 fluid ounces in one pint which means that there are two pints in 32 fluid ounces and 3.5 pints in 56 fluid ounce.
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Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?
Help please before its taken:)
Answer:
A variable whose variation does not depend on that of another.
-5.8 + -2.2= a positive number
Answer:
it would be negative (-8)
Step-by-step explanation:
-5.8 + -2.2 = -5.8 - 2.2
this would result in a negative number (-8)
One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472
Given:
Original cost of car = $21000
Rate of depreciation = 15% = 0.15
Time = 5 years
To find:
The value of car after 5 years.
Solution:
Consider the model for car depreciation is
[tex]V=C(1-r)^t[/tex]
where, C is the original cost, V is the value of the car after t years, and r is the rate of depreciation.
Substitute C=21000, r=0.15 and t=5 in the above model.
[tex]V=21000(1-0.15)^5[/tex]
[tex]V=21000(0.85)^5[/tex]
[tex]V=21000(0.4437)[/tex]
[tex]V=9317.7[/tex]
[tex]V\approx 9318[/tex]
The value of car after 5 years is $9318. Therefore, the correct option is C.
What is 100% written as a decimal?
Answer:
100 percent written as a decimal would just be 1
Step-by-step explanation:
For example, 50% is 0.50 in decimal form that would make 100% well, 1.0
Hope this helps and have a great day!
You got this :)
4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].
Here is the answer, with a picture of it!
The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh? *
Answer:
120 pounds
Step-by-step explanation:
15 boxes = 45 pounds
45/15= 3
1 box= 3 pounds
40 x 3 = 120
40 boxes would weigh 120 pounds
hope this helps :)
Answer: 120 lbs.
Explanation: One box weighs 3 pounds (divide 45 by 15). 3 times 40 equals 120. So the total weight is 120 pounds.
Plz mark brainliest:)
What Is the slope of the line on the graph?
Answer:
the answer is 4x 5y -5x -4y
Step-by-step explanation:
the diameter of a certain species of bacteria is 0.00000057 meter. write this number as a single digit times a power of 10
Answer: 57 x 10^-8 or 5.7 x 10^-7
How is solving literal equations like solving equations in one variable
Answer:
When given a literal equation, you will often be asked to solve the equation for a
given variable. The goal is to isolate that given variable. The process is the same
process that you use to solve linear equations; the only difference is that you will
be working with a lot more letters, and you may not be able to simplify as much as
you can with linear equations. This packet will hopefully show you the process in a
simple manner so that you will be able to solve literal equations yourself. See
examples before for the method to solving literal equations for a given variable:
Answer:
Step-by-step explanation:
To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.
Linear equations in one variable may take the form a x + b = 0 \displaystyle ax+b=0 ax+b=0 and are solved using basic algebraic operations. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.
I hope this helps. Sorry if I could not answer your question!
When you solve |2x+6|=4x it has one extraneous solution at x=-1
true or false
A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft from the water in 2000. In what year will the house be only 250 ft from the water?
a. 1990
c. 2015
b. 2004
d. 2050
We develop an equation for the given situation by first writing the general equation for lines,
y = mx + b
Substituting to this given the values given above,
(1990) 430 = b
(2000) 400 = m(10) + 430
The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,
y = -3x + 430
Answer:
d. 2050
Step-by-step explanation:
Beth's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 88 sodas in all, 66 of which were regular. What percentage of the sodas were regular?
Answer:
75 Percent
Step-by-step explanation:
66/88 = .75, which equates to 75 percent.
A number divided by −8 is 22. Find the number.
Answer:
divide 22 by -8
it equals
-2.75
hope this helps :)
Evaluate 4(3-1)² i need help with this
Answer:
16
Step-by-step explanation:
You can use PEMDAS to answer this question.
So first you would do whats inside the parenthesis.
4(3-1)².
3-1 is 2 so 2 would be in the parenthesis. Next you have to do exponets.
4(2)².
2² is 4. So now you just have a multiplication problem left.
4(4) which is 16.
check all that apply ... 50 points for brainliest answer !!
(x^(3-6))^2 = (x^-3)^2
x^3*2+x^-6*2 = x^6+x^-12
when the numbers are just next to each other (ex. x²x³) you just ADD the exponents and you get (in this case x^6)when the numbers and exponents are in and out of parentheses (ex. (x³)²) you MULTIPLY the exponents (in this case you get x^6)when you have both, you solve what is IN the parentheses (ex. (x²x³)²) first, making the equation (ex. (x^6)²) and then you multiply the exponent by 2 (ex. (x^12) and get the answer. NOTE - ^ means to the powerThe second from the top, and the second to last expressions should be the answer
Hope this helps!
Circle the division problem that does not belong with the other three. Explain.Write one that does belong 621/6 384/3 719/7 514/5
Answer:
384/3
Step-by-step explanation:
^^Is the only one that equals a whole number the rest have decimals