Answer: 30 minutes to get to the playground
Step-by-step explanation:
Write an expression to
describe the sequence below. Use n to represent the position of a term
in the sequence, where n = 1 for the first term.
5, 6, 7, 8, ...
Answer:
n + 4
Step-by-step explanation:
n is being used to describe the position of a term.
We can see that the sequence is increasing linearly by 1.
Since the position of the next term is increasing linearly by 1, all we have to do is look at the first term and subtract 1 from it to get our constant (4).
An equation to think about this better would be
n + C = S
C is the constant we are solving for.
We know n = 1.
S is the number corresponding in the sequence with n.
1 + C = 5
Subtract 1 from both sides to isolate C.
C = 4
1 + 4 = 5 Checks out
n + 4
You don't need to include the equals sign because the problem asks for an expression which doesn't contain an equals sign unlike an equation.
an = an-1 + 15; a₁ = 8
The explicit formula which correctly represents the progression represented by the recursive formula above is; a(n) = 8 + 15(n - 1).
What is the explicit formula which correctly describes the progression represented by the recursive formula given?It follows from the complete task content that the explicit formula which correctly represents the progression described by the recursive formula; an = an-1 + 15 be determined.
Therefore, by observation of the recursive formula; it follows that the progression is arithmetic with a common difference, d = 15.
Also, since the first term; a₁ = 8, the required explicit formula is;
a(n) = 8 + 15(n - 1).
This follows from the general explicit formula of arithmetic progressions; a(n) = a₁ + (n - 1)d.
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Determine which integer will make the inequality 20 > 4x + 16 true.
S:{16}
S:{20}
S:{−1}
S:{1}
Answer:
-1
Step-by-step explanation:
replace x with -1
20>4(-1)+16
20>-4+16
20>12
What is the product of (-3)(18) • (-5)? O 270 O 49 O-59 O-87
Answer: 270
Step-by-step explanation: First, you want to multiply the -3 and the 18. That makes -54. Then, you multiply that answer (-54) by -5, which is 270.
Hope this helps!
Follow the order of PEMDAS of operations:
P - ParenthesisE - ExponentsM - MultiplicationD - DivisionsA - AdditionsS - SubtractionsMultiply and divide (from left to right).
Apply the rule: (-a)*(b) = -a*b
(-3)(18) = -13 * 18 = -54
-54(-5) = 54 * 5 = 270
The answer is 270✅ .
What is the value of this expression
The required simplified value of the given expression is given as 257 / 16. None of the options is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is,
= 2(x + 4) - (y - 8)
According to the question put,
x = 1 / 8 and y = 3 / 16
= 2 (1/8 + 4) - (3/16 - 8)
= 2 (33/8) - (-125 / 16)
= 33 / 4 + 125 / 16
= 132 + 125 / 16
= 257 / 16
Thus, the required simplified value of the given expression is given as 257 / 16.
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27≤−2x+7or13 > −13>−2x+7
The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.
What is the solution?
An allocation of values toward the variables involved that establishes the equality there in the equation is referred to as a solution. To put it another way, a solution is just a value or collection of values (for every unknown) that, when used to replace the unknowns, cause the equation to equal itself.Given equations: 27≤−2x+7, −13>−2x+7
Solving each equation,
27≤−2x+7
−2x≥27−7
−2x≥20
x≤ (20/−2)
x≤−10
−13>−2x+7
−2x≤−13−7
−2x≤−20
x≥ (-20/-2)
x≥10
The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.
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Lydia invests $1,100 in an account that earns interest at an annual rate of 5.5% compounded monthly.What is Lydia's return on investment after 2 years?
The rule of the compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]A is the new amount
P is the initial amount
r is the interest rate in decimal
n is the number of periods per year
t is the number of years
Since the initial amount is $1100, then
P = 1100
Since the interest rate is 5.5%, then
[tex]r=\frac{5.5}{100}=0.055[/tex]r = 0.055
Since the interest is compounded monthly, then
n = 12
Since the time is 2 years, then
t = 2
Substitute them in the rule above to find A
[tex]\begin{gathered} A=1100(1+\frac{0.055}{12})^{12\times2} \\ A=1100(1+\frac{11}{2400})^{24} \\ A=1227.597324 \end{gathered}[/tex]Lydia's return after 2 years is $1227.60 to the nearest cent
Find the slope of the line passing through the two points on the line (1,2) and (5,1)
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )
m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]
The temperature in a town is 38.2 F during the day and -17.2 at night. Find the difference in the temperatures.
Answer:
55.4 °F
Step-by-step explanation:
To find the difference, subtract the 2 values.
38.2-(-17.2)
2 minus signs equal a plus sign, so:
38.2+17.2 = 55.4
the world record for most selfies taken simultaneously is 4296. this is 51 fewer than three times the world record for the most selfies taken by one person in one hour. what is the world record for the most selfies taken by one person in one hour?
The world record for most selfies taken by a person in one hour is calculated to be 1449.
The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.
As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;
3x - 51 = 4296
Solving for x;
3x = 4296 + 51
3x = 4347
x = 4347 / 3
x = 1449
Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.
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Using the graph what percentage of college graduates believe their education was useful for helping them grow personally and intellectually, but not useful for helping them develop specific skills and knowledge for the workplace?Write your answer as a percentage
62 + 35 = 97
62 represents the people who think the education helped them grow personally
35 represents the people who somewhat believe it helps them develope specific skills in the work place.
93 in total were interviewed for the "helping them grow personally" question
84 in total for the question that talkings about helping the people develop specific skills and knowlege
93 + 84 = 177
If 97 of those people believe the college degree was useful personally and somewhat useful for learning specific skills, we have to find what is 97 of 177 as a percentage.
[tex]\frac{97}{177}\times100=54.802259887[/tex]54.802259887 rounded is 54.8%
Which means 54.8% of college graduates believe their education was useful for helping them grow personally but not useful for developing specific skills.
May someone please help me out with this
Answer:
y=-1/4x-6
Step-by-step explanation:
it hit -6 on the y axis
And it is jumpin by 4 going down
So -4 is the x axis
Please help and provide an explanation
What is the equation of the line that passes through point (3, -4) and has a slope of 0?
Answer:
y = -4
Step-by-step explanation:
it's a horizontal line
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a population standard deviation of 3.23. What is the 95% confidence interval for the amount of time spent on administrative issues?
Given:
Number of samples n =58
Mean
[tex]\mu=20.53[/tex]Standard deviation
[tex]\sigma=3.23[/tex]Required:
Find the confidence interval.
Explanation:
The confidence interval formula is
[tex][\mu-1.96\times\frac{\sigma}{\sqrt{n}},\mu+1.96\times\frac{\sigma}{\sqrt{n}}][/tex]Substitute the given values in the formula.
The diagram below is divided into equal parts.Which ratio compares the number of shaded to the total number of sections
Ratio compares the number of shaded to the total number of sections is 1/2
Given- diagram
Find- ratio of shaded sections to total number of section
Shaded sections =4
total sections =8
Hence, Shaded sections: total sections.
= 4: 8
=4/8
=1/2
Hence,
1/2
A solid's cross section is a plane figure formed when the solid intersects another plane. As a result, the cross section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented.
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The actual population of the U.S. (as of 2012) is approximately 3.14 x 10°. How does the population density ofCalifornia (i.e., the number of people per square mile) compare with the population density of the U.S.?
We have the folllowing, the density population in US is:
[tex]d=\frac{population}{area}=\frac{3.14\cdot10^8}{3.794\cdot10^6}=82.76\text{ }[/tex]The density population in California is:
[tex]d=\frac{population}{area}=\frac{3.804\cdot10^7}{1.637\cdot10^5}=232.37[/tex]The density in Califoria is 232.37 per mi^2
therefore, the density in California is higher than in the US.
What is the image of (0,6) after a reflection over the y-axis?
Answer:
(0, 6)
Step-by-step explanation:
The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).
find the number that makes the ratio equivalent to 3:5._:60
Answer:
36
Explanation:
Given the ratio:
[tex]3\colon5[/tex]Let the number = x
Then:
[tex]\frac{3}{5}=\frac{x}{60}[/tex]Next, solve for x:
[tex]\begin{gathered} 5x=3\times60 \\ x=\frac{3\times60}{5} \\ x=36 \end{gathered}[/tex]Thus, the number that makes the ratio equivalent to 3:5 is 36.
Bellrose Bank charges a monthly maintenance fee of $17 and a check-writing fee of $0.05 per
check. Last year, Patricia wrote 445 checks from her account at Bellrose. What was the total of all
fees she paid on that account last year?
The amount Patricia paid as fees on on the account last year was $226.25
What makes up the total cost for Patricia?
Patricia pays a fixed monthly maintenance fee of $17 for every month last year, which means that the total annual maintenance fee last year is the monthly maintenance fee multiplied by 12 months, whereas, the annual check-writing fee is the check-writing fee per check multiplied by the number of checks issued last year.
total annual maintenance fee=monthly maintenance fee *12
monthly maintenance fee=$17
total annual maintenance fee=$17*12
total annual maintenance fee=$204.00
annual check-writing fee= check-writing fee per check*number of checks
annual check-writing fee=$0.05*445
annual check-writing fee=$22.25
total fees paid by Patricia last year=$204.00+$22.25
total fees paid by Patricia last year=$226.25
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PLEASE HELP!!!
Assignment name: Trigonometry, Evaluation of Functions
Hi, can someone help find the GRAPHS that belong to these problems, please! I only need a picture of a graph for each problem that I've attached below :)
1. The θ lies in the 1st and 2nd quadrants of the graph.
2. The θ lies in the 2nd and 3rd quadrants of the graph.
3. The θ lies in the 1st and 3rd quadrants of the graph.
4. The θ lies in the 2nd and 3rd quadrants of the graph.
5. The θ lies in the 1st and 2nd quadrants of the graph.
In the first question, Sinθ = 2/3 and 0°≤θ≤360°.Sinθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.In the second question, Cosθ = -1/2 and 0°≤θ≤360°.Cosθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the third question, Cotθ = 3/4 and 0°≤θ≤360°.Cotθ is positive in the 1st and 3rd quadrants.Thus, θ lies in the 1st and 3rd quadrants of the graph.In the fourth question, Secθ = -13/5 and 0°≤θ≤360°.Secθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the fifth question, Cscθ = 3/2 and 0°≤θ≤360°.Cscθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.To learn more about quadrants, visit :
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Which tables have a lower unit rate than the rate represented in the equation? y=3/5xThe pictures are the answer choices.
The unit rate represented in the equation y = 3/5x is the value multiplying x, that is, the unit rate is 3/5.
In order to find the unit rate of each table, we just need to divide the y-values by the x-values.
So, the unit rate of the first table is:
[tex]\frac{y}{x}=\frac{4}{3}[/tex]The value 4/3 is greater than the value 3/5.
In the second table we have that:
[tex]\frac{y}{x}=\frac{4}{5}[/tex]The value 4/5 is greater than the value 3/5;
In the third table, we have that:
[tex]\frac{y}{x}=\frac{18}{31}[/tex]In order to compare this fraction with 3/5, we need to make them be in the same denominator, so we have to calculate the least common multiple of the denominators.
Since 5 and 31 are prime numbers, the LCM is the product of both numbers.
So we have that:
[tex]\begin{gathered} \frac{18}{31}=\frac{18\cdot5}{31\cdot5}=\frac{90}{155} \\ \\ \frac{3}{5}=\frac{3\cdot31}{5\cdot31}=\frac{93}{155} \end{gathered}[/tex]The number 90/155 is lesser than 93/155, therefore 18/31 is lesser than 3/5, so the answer is the third table.
Calculate the Standard Deviation of the following set of data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. 7.66
b. 6.78
c. 23
d. 46
Answer:46656
4634234
Step-by-step explanation:5
y5
Answer:
6.78
I hope this helps.
Step-by-step explanation:
Distance between two points khan academy
Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer. What is the percent error of Ming’s estimate?
The percent error of Ming’s estimate is 28.571%
Ming estimated that there would be 21 members in his bicycle club by the end of summer
There were actually 15 members at the end of summer
error = 21 - 15 = 6
error percent = error / total x 100
=100( 6 / 21)
= 28.571
Therefore, if Ming estimated that there would be 21 members in his bicycle club by the end of summer. There were actually 15 members at the end of summer the the percent error of Ming’s estimate is 28.571%
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I can buy 4 basketballs for $44. At that same rate, how much would 8 basketballs cost?
Answer:
$88.
Step-by-step explanation:
$44 dollar for 4 balls.
That means for one ball it is $11.
44 ÷ 4 = 11.
Therefore:
8 x 11 = 88.
The answer is $88.
Hope this helps!
I need some help with my math please.
Answer: -10 + 34u
Step-by-step explanation:
2 x (10u + 3) + 2 x (7u -8)
20u + 6 + 14u - 16
34u - 10
Answer: -10 + 34u
Step-by-step explanation:
1) Set up the equation
A = 2B + 2H
2) Substitute the variables
A = 2(10u+3) + 2(7u-8)
3) Solve the equation
A = 20u + 6 + 14u - 16
4) Simplfy
A = 34u - 10
A = -10 + 34u
1/6+5252+65+89+12-15-874-85x54-0-059=?
Answer:
719
– ___
6
Step-by-step explanation:
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059
= 1/6 + 4529 - 4590 - 059
= 1/6 + (-120)
= 719
— ___
6
martina was interested in how students perceive the health service provided by her university. to collect data on this issue, she interviewed past and present students from her classes. martina has used a random sampling procedure that would be classified as a convenience sample.
martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = upper limit - lower limit /2
Substitute the values into above formula as follows.
= 33-30/2
=1.5
Thus ,we can conclude that Martina's margin of error is 1.5.
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Please help me please please please please please help me I’ll give brainly
Answer:
3y
Step-by-step explanation:
Divide the numbers and then divide the variables.
21/7 = 3
y²/y = y
Therefore,
21y²/7y = 3y
Work out the total amount of money tom earned on monday
The money earned by Tom in accordance with his rate is $
In mathematics, comparing two related quantities stated in different units is known as a rate.
If the denominator of the ratio is stated as a single unit of one of these quantities and it is assumed that this number may be changed systematically, the numerator of the ratio expresses the comparable rate of change in the other (dependent) variable (i.e., is an independent variable).Speed, heart rate, and flux are a few examples of rates that are frequently expressed as "per unit of time." Electric field ratios, exchange rates, and literacy rates are a few instances of ratios with a non-time denominator (in volts per meter).The rate at which he earns is $15 per hour.
He earns over time at 1 1/3 times his wage
Overtime rate = 4 / 3 × 15 = $20
He worked for 11 hours.
Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.
Money earned = 7 × 15 + 20 × 4 = $185
Hence the money earned at that rate is $185.
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