Answers
Answer:
41
Step-by-step explanation:
an = a1 + (n-1)d
a_n = the nᵗʰ term in the sequence = 10
a_1 = the first term in the sequence = 5
d = the common difference between terms = 4
a10 = 5 + (10-1)4
a10 = 5 + (9)4
a10 = 5 + 36
a10 = 41
Related Questions
find the surface area of the cube (above) using its net (below).
Answers
Answer:
[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches. Part B Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish. Convert 976 cups to gallons. 976 cups equals gallons.
Answers
Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.
Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches
Width = 1.5 feet = 1.5×12 = 18 inches
Height = 20 inches
A.) The volume of the fish tank can be written as,
[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]
[tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]
Thus, the volume of the fish tank is 14,040 in³.
B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,
[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]
Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,
[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]
As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.
Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.
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What property of operations is used to show that 12x + 6y is equivalent to(2x + y)?
Answers
Answer:
Distributive property. When you factor out a GCF, from 12x + 6y, you would get 6(2x+y).
Step-by-step explanation:
12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.
What is Number system?A number system is defined as a system of writing to express numbers.
The distributive property states that a(b + c) = ab + ac, where a, b, and c are any real numbers.
We can apply this property to the expression 2x + y by multiplying 2x by 6 and y by 6, giving:
12x + 6y = 6(2x) + 6(y)
Then, we can use the distributive property again to simplify the expression inside the parentheses:
6(2x) + 6(y) = 6(2x + y)
Substituting this expression back into the original equation, we get:
12x + 6y = 6(2x + y)
Simplifying further by dividing both sides by 6, we obtain:
2x + y = 12x/6 + 6y/6
2x + y = 2x + y
Therefore, we have shown that 12x + 6y is equivalent to 2x + y using the distributive property of multiplication over addition.
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PRESLEY
A drivers' education company offers a classroom instruction program or a full program which also includes driving.
In the fall session, they had 14 students for the classroom program and 5 students for the full program. The
students paid a total cost of $5082. In the spring session, they had 11 students for the classroom program and 9
students for the full program. The students paid a total cost of $5910.
Enter the cost, in dollars, of the classroom program.
Answers
Answer add all the numbers both sides then you put them in a caculator and what you do is put all the numbers you have in the question in the caculator and yur done
Step-by-step explanation:
Which steps would be used to solve this equation? StartFraction t Over 3 EndFraction = 2. 78 Check all that apply. Multiply by 3 on both sides of the equation. Divide by 3 on both sides of the equation. 2. 78 ÷ 3 = 0. 93, so t = 0. 93. 2. 78 × 3 = 8. 34, so t = 8. 34. Substitute 8. 34 for t to check the solution. Substitute 0. 93 for t to check the solution.
Answers
The value of variable t =8.34.
We have solve the equation [tex]\frac{t}{3} = 2.78[/tex]
What is the meaning of equation?A statement that the values of two mathematical expressions are equal.
We will use the steps below to solve this equation
First, multiply by 3 on both-side of the equation.
[tex]\frac{t}{3} \times 3= 2.78 \times 3[/tex]
[tex]t=8.34[/tex]
[tex]t = 8.34[/tex]
We can further substitute 8.34 for t to check the correctness of the solution that is,
[tex]\frac{8.34}{3}= 2.78[/tex]
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How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?
Answers
Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Answer:
Step-by-step explanation:
An example is a^2 - b^2.
Also 64 - 49 (as 64 are both perfect squares).
The way to factor is by using the identity:
a^2 - b^2 = (a - b)(a + b) ( a + in one parentheses and - in the other)
Examples:
x^2 - 4y^2 = (x - 2y)(x + 2y) [ x is the square root of x^2 and 2y is square root of 4y^2)
144 - 16 = (12 - 4)(12 + 4)
9x^2 - 36y^2 = (3x - 6y)(3x + 6y)
Can someone help me out please
Answers
25^(2x+3) = 125^(2x+8)
please help and show work!!!!!!!
Answers
Answer:
[tex]x = -9[/tex]
Step-by-step explanation:
Given equation:
[tex]25^{2x+3} = 125^{2x+8}[/tex]
Convert 25 and 125 to base 5:
[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]
Apply exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]
If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:
[tex]\implies 2(2x+3) = 3(2x+8)[/tex]
Expand:
[tex]\implies 4x+6 = 6x+24[/tex]
Subtract 6x from both sides:
[tex]\implies -2x+6 = 24[/tex]
Subtract 6 from both sides:
[tex]\implies -2x=18[/tex]
Divide both sides by -2:
[tex]\implies x=-9[/tex]
Let's solve up
[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]
[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]
[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]
[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]
[tex]\\ \rm\rightarrowtail -18=2x[/tex]
[tex]\\ \rm\rightarrowtail x=-9[/tex]
Tiffani works in a baby shop in which she prints personalized bibs. She uses a probability model to predict that the next customer ordering a white bib would be 30%. For one day, Tiffani gathers data by tallying the the number of customers who order each color in this table.
Color Tally
white 21
grey 9
blue 15
pink 26
Based on her experiment, which statement is true?
Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
There is not enough information to determine the validity of her prediction.
Tiffani's prediction is not valid. The next customer ordering a white bib would be the same as any color, so the probability should be about 25%.
Tiffani's prediction is not valid. The probability of the next customer ordering a white bib should be about 21% because 21 people ordered white in her data.
Answers
Answer:Its A, Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
Step-by-step explanation:Did the K12 quiz
Ella's family took a road trip to Niagara Falls. Ella slept through the last 14% of the trip. If Ella fell asleep after they had travelled 602 miles, what was the total length of the trip?
Answers
14%xx=602
i think that is the answer, i tried helppoo
The total length of the trip is approximately 700 miles as per the concept of percentage.
To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.
Let's denote the total length of the trip as "T" miles.
Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.
The distance covered before Ella fell asleep is 86% of the total trip's length:
86% of T = 0.86T
We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:
0.86T = 602
To find the total length of the trip, we solve for T:
T = 602 / 0.86
T ≈ 700
The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.
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Juan went shopping for a new pair of sneakers because of a sale. The price on the tag was $28, but Juan paid $23.80 before tax. Find the percent discount.
Answers
Answer:
15% off
Step-by-step explanation:
28-23.80 = 4.2$
23.8/28 = 0.85
100-85 = 15
15%
Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?
Answers
[tex]\mathsf\blue{♧ANSWER♧}[/tex]
Area = length × width
[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]
[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]
[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]
[tex] \mathsf \blue{10.125 \: square \: units}[/tex]
The circumference of a compact disc is 28.26 centimeters. If the diameter of the
compact disc is 9 centimeters, which of the following best describes n?
Answers
Answer:
Step-by-step explanation:
where is the full question????
If f(x)=2^x is translated 3 units up and 4 units to the left what is the equation for the transformed graph?
Answers
Answer:
Step-by-step explanation:
[tex]f(x) = 2^{x}[/tex]
translate 3 units up will change the y coordinate so will add 3 to y or f(x)
[tex]f(x) = 2^{x} +3[/tex]
translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left
[tex]f(x) = 2^{x+4} +3[/tex]
What is the value of y?
y
60°
80°
Answers
Step-by-step explanation:
60° + 80° + y = 180° ( being straight angle )
140° + y = 180°
y = 180° - 140°
y = 40°
PLEASE HELP ASAP 20 POINTS
Answers
Answer:
1. 200
2. 50
Step-by-step explanation:
1. you put 10 over 5 as a proportion with x over 100 on the other side
2. you put 5 over 10 as a proportion with x over 100 on the other side
1. What values of a, b, and c would you use in the quadratic formula for the following equation? (1 point)
5x + 9x=4
O a=-4.5 = 9,c=5
O a = 5,6 = 9,c=-4
O a=5,b= -4,0 = 9
Oa=5, b =9, c = 4
Answers
Answer:O a=5,b= -4,0 = 9?
Step-by-step explanation:i am not sure if this is right
for what values of A does the acute angle formed by the lines 3x+2y=10 and Ax-2y=3 have measure of 45 degree
Answers
Answer:
Step-by-step explanation:
If f and f ◦ g are onto, does it follow that g is onto? justify your answer
Answers
The functions f, g and f ◦ g are illustrations of relations and functions
If f and f ◦ g are onto, it does not necessarily follow that g is onto
How to complete the statement?The onto functions are given as:
Function fFunction f ◦ gConsider the functions f and g.
The function f is an onto function, if for every element of function f, there is at least one matching element with function g.
The above definition implies that the following definition is not a condition for the two functions to be an onto function
If for every element of function g, there is at least one matching element with function f.
Hence, it does not necessarily follow that function g is onto
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Pleaseeeee helpppp neeed doneee asappp
Answers
Answer: 107 meters
Step-by-step explanation:
There are 2 ways to solve this:
1. The formula for arc length is: arc length = angle (in radians) * radius.
Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.
2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)
How do you do this problem:
1- 3 (4 - 3) + (27- 2 x 3)
Answers
Answer:
19
Step-by-step explanation:
Do what is in parenthesis first.
(4 - 3) = 1
(27 - 2 * 3) = (27 - 6) = 21
Now the equation looks like this:
1 - 3 (1) + (21) =
1 - 3 + 21 =
19
John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)
Answers
to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm
[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]
Bill went on a very long run, so he ran kind of slowly. He ran 2 miles in 30 minutes. How many miles would he run in three hours?
Answers
Answer:
12 miles
Step-by-step explanation:
There are 3 hours = 180 minutes
180÷30=6
6×2=12
Hope that helps!
Answer:
12 miles
Step-by-step explanation:
1. Two boats leave a dock at the same time, but they are traveling in opposite
directions. The longest time either boat is capable of traveling without stopping is 6
hours. Boat F travels 200 miles north in x-1 hours, and boat G travels 160 miles south in
x hours.
Answers
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.
How to apply uniform motion to determine the travel time of two boatsIn this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:
[tex]\frac{200}{x-1} = \frac{160}{x}[/tex] (1)
Now we clear [tex]x[/tex] within (1):
[tex]200\cdot x = 160\cdot (x-1)[/tex]
[tex]x = 4[/tex]
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. The complete statement is shown below:
Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?
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Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answers
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
Help I’m so bad at math
Answers
If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.
Therefore, if angle B = 145, then angle E is also 145.
Answer: C) 145
Hope this helps!
Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.
(Attachment of the Figure is Displayed Below)
O 57 degrees
O 63 degrees
O 117 degrees
O 123 degrees
Answers
Answer:
1 = 123 degrees
Step-by-step explanation:
A Triangle = 180 degrees
A flat line = 180 degrees
To solve this, we need to figure out the triangle first :)
60 + 63 + t = 180
123 + t = 180
180 - 123 = 57
Now that we know the triangle, we can figure out x :)
180 - 57 = 123
1 = 123
Have an amazing day!!
Please rate and mark brainliest!!
Cynthia, a resident of Ottawa, earns $41,875 annually. If the Canadian government levies an income tax of 18. 6% on Cynthia’s tax bracket, what is her annual take-home pay? a. $39,623. 66 b. $34,086. 25 c. $27,016. 13 d. $22,513. 44.
Answers
Answer:
B. $34,086
Step-by-step explanation:
did the math
The total amount of annual take-home pay of Cynthia is $34,086.25
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Cynthia earns $41,875 annually.
If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.
It can be calculated as
41,875 × 18.6%
41,875 × 18.6/100 = 7,788.75
The annual take-home pay
41,875 - 7,788.75 = $34,086.25
Thus, The total amount of annual take-home pay is $34,086.25.
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A toy bin contains 12 yellow balls,3 orange balls,and 5 white balls. What is the probability of selecting an orange or a white ball?
A. 3/80
B. 3/20
C. 1/4
D. 2/5
Answers
Answer:
D. 2/5
Step-by-step explanation:
Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5
Round each decimal to the nearest whole number.
6.85
0.37
2.5
16.1
Answers
Answer:
7
0.37 is closest to 0 but probably 1
3
16