Answer:
a_n = 244 + 57n, for n ≥ 1
Step-by-step explanation:
358 - 301 = 57
415 - 358 = 57
472 - 415 = 57
There is a constant difference, so the sequence is arithmetic.
a_1 = 301
a_2 = 358 = a_1 + 57
a_3 = 415 = a_1 + 57 × 2
a_4 = 472 = a_1 + 57 × 3
a_n = a_1 + 57 × (n - 1)
a_n = 301 + 57(n - 1)
a+n = 301 + 57n - 57
a_n = 244 + 57n, for n ≥ 1
Graph the linear equation find three points that solve the equation then plot on the graph x-4y=-18
2x + 5 = 13
what is x
Answer:
x = 4
Step-by-step explanation:
it's important to keep in mind that you can do anything to an equation as long as you do it to both sides, and it will still be equal.
2x + 5 = 13
subtract 5 from both sides of the equation
2x + 5 -5 = 13 - 5
2x = 13 -5
2x = 8
divide both sides of the equation by 2
2x/2 = 8/2
x = 4
The value of x for the equation 2x + 5 = 13 is x = 4.
Given that:
There is an equation in x which is given as,
2x + 5 = 13
It is required to find the value of x.
That is, solve the equation.
It is required to get the equation in such a way that x is on one side and a constant on the other side.
2x + 5 = 13
Subtract both sides by 5.
2x = 8
Divide both sides by 2.
x = 4
Hence the value of x is 4.
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Round Off 26895 to 1 significant figure
Answer:
30000 or 3×10^4
Step-by-step explanation:
both are right it depends on what ur teacher prefers. but they both mean the same thing and have 1 sig fig
A randomly generated list of integers from 0 to 4 is being used to simulate an event with the numbers 1, 2, and 3 representing a success what is the estimated probability of a success
A. 60%
B. 40%
C. 75%
D. 25%
Answer:
60
%
Step-by-step explanation:
there are 5 possible events (01234)- there are 3 favorable outcomes (123)
so that's 3 out of 5 or 3/5 or 60%
The estimated probability of a success is 3/5 or 60%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
We are given that randomly generated list of integers from 0 to 4 is being used to simulate an event with the numbers 1, 2, and 3 representing a success.
There are 5 possible events (01234)
There are 3 favorable outcomes (123)
Therefore, the estimated probability of a success are; 3 out of 5 or 3/5 or 60%
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I need help with this worksheet.
Answer:
A = 40
B = 90
C = 53.5
D = 34
E = 90
F = 52.9
G = 90
H = 59.6
I = 104.5
J = 45
K = 90
L = 72
M = 107.3
N = 47.7
O = 36
P = 90
Solve for n.
n + 1 = 4(n - 8)
n = 1
O n = 8
ОО ОО
n = 11
n = 16
Answer:
n=11
The first step is to use distributive property on the right side of the equation. Hope that helps
Trent drank 3/5 of a gallon of water. Nicholas drank 2/3 of a gallon. who drank more water?
Answer:
Trent drank more Water than Nicholas because 3/5 is bigger than 2/3
(12,-18),(7,-9) find the slope of this equation
Answer: 1.8
Step-by-step explanation:
(-18-(-9))/(12-7)=-9/5
Fill in what’s missing from the chart. Remember, graphing means to plot the values in your table.
FIRST ROW SECOND ROW THIRD
FUNCTION. TABLE. GRAPH.
Answer:
(for the second one)
y = 4x + 10
solution:
so first you have to find the slope, there is an equation for it. it is y2 - y1/ x2 - x1 or just y1 - y2/ x1 - x2 . so input the easiest points. id say f(0) and f(1)
so it will look like
2 - 6/0 - 1
-4/-1
4
so you can now write the equation as
y = 4x + b
now you have to find the y-intercept so input a point. i dont think you should input a point you used to find the slope because you could have made a mistake calculating so lets input f(2)
sooo
18 = 4(2) + b
18 = 8 + b
b = 10
so the function for the second one is y = 4x + 10
[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf y} \\ \sf -1 &\sf 1.5 \\ \sf 0 &\sf 3\\ 1 &\sf 6 \\ \sf 2 &12\end{array}}\end{gathered}[/tex]
Plug in x values in the equation y = 3(2)^x
Graph plotted below:
Solve the system of equations using substitution
4x + 2y = 16
=−12+5
Answer:
[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-\frac{1}{2}x+5[/tex]
[tex]\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]
Isolate x for 3x+10=16(-1/2x+5): [tex]x=\frac{70}{11}[/tex]
[tex]\mathrm{For\:}y=-\frac{1}{2}x+5[/tex]
[tex]\mathrm{Substitute\:}x=\frac{70}{11}[/tex]
[tex]y=-\frac{1}{2}\cdot \frac{70}{11}+5[/tex]
[tex]-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}[/tex]
[tex]y=\frac{20}{11}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]
Mrs. Martin made 15 gallons of
sweet tea for a celebration. How many
quarts of sweet tea did Mrs. Martin
make?
Answer:
60 US Quarts
Step-by-step explanation:
15 gallons = 60 US Quarts
Answer:
60 US QUARTS
Step-by-step explanation:
Since, 1 gallon = 4 US QUARTS
15 gallons = x
Therefore, 15 gallons × 4 US QUARTS / 1 gallon
= 60 US QUARTS
PLEASE HELP! I WILL MAKE YOU BRAINLIST
I would say proportional because the rise/run is constant
What is it called when you can not factor an equation
Answer:
polyminal
Step-by-step explanation:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Example 2:
The polynomial
x2−2
is irreducible over the integers. However, we could factor it as
(x−2√)(x+2√)
if we are allowed to use irrational numbers. So the irreducibility of a polynomial depends on the number system you're working in.
Please write the proof out for the Geometry problem
Answer:
Reason-GivenStatement- Angle AEC is congruent to Angle DEB. Reason- Vertical Angles TheoremStatement- Sides AE=DE, Side CE=BEReason- SAS Congruent Triangles TheoremStep-by-step explanation:
The vertical angles theorem states that when two straight lines intersect, they form two sets of linear pairs with congruent angles.
A midpoint divides a line into 2 congruent segments.
The SAS Theorem states that if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
carlos has 12 hours of homework for his 4 classes. What is the homework time to class unit rate
If you flip the coin 96 times,how many heads?
If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.
There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.
Hope that helped!
What is the total area of the figure shown?
Type the correct answer in the box. Use numerals instead of words.
The total area of the figure is
square meters.
The total area of the figure = area of rectangle + area of triangle = 241 sq. m.
What is the Area of Rectangle and Triangle?Area of rectangle = length × widthArea of triangle = 1/2 × base × heightThus:
Total area of the figure = area of rectangle + area of triangle
= length × width + 1/2 × base × height
Length = 12 mWidth = 9 mBase = 19 mHeight = 14 mTotal area of the figure = 12 × 9 + 1/2 × 19 × 14
Total area of the figure = 241 sq. m.
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Answer:
241 square meters
Step-by-step explanation:
edmentum/plato
A karate school offers a package of 12 group lessons and 2 private lessons for $110. It also offers a package of 10 group lessons and 3 private lessons for $125. Write and solve a system of equations to find the cost of a single group lesson and a single private lesson.
Answer: The cost of a single group lesson is $5 and a single private lesson is $25
Step-by-step explanation:
Let the cost of a single group lesson be y.
Let the cost of a single private lesson be z.
A karate school offers a package of 12 group lessons and 2 private lessons for $110. This can be written as:
12y + 2z = 110 ..... equation i
It also offers a package of 10 group lessons and 3 private lessons for $125. This can be written as:
10y + 3z = 125 ...... equation ii
Combining equation i and ii
12y + 2z = 110 ..... equation i
10y + 3z = 125 ...... equation ii
12y + 2z = 110 × (3)
10y + 3z = 125 × (2)
36y + 6z = 330 ....... equation iii
20y + 6z = 250 ...... equation iv
Subtract equation iv from iii
16y = 80
y = 80/16
y = 5
From equation ii
10y + 3z = 125
10(5) + 3z = 125
50 + 3z = 125
3z = 125 - 50
3z = 75
z = 75/3
z = 25
The cost of a single group lesson is $5 and a single private lesson is $25
A group lesson costs = $5.
A private lesson costs = $25.
Let a group lesson costs = $x
A private lesson costs = $y.
According to the question:
12x + 2y = 110
10x + 3y = 125
Solving them we get x = 5, y = 25
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Can anybody help me I’m giving 25 points plz plz plz help me
Answer:
Step 4 is wrong and so is Step 7
Step-by-step explanation:
In step 4, she would have had to add 8 to both sides.
In step 7, the answer is first of all, wrong, and second of all, it would have been negative 1. (if even 1)
x is supposed to equal -9
Hope I helped :)
Please consider Brainliest :)
Answer:
Step 3 is wrong and step 4 is wrong too.
Step four was she was supposed to ADD 8 not subtract. In step 3, ur not supposed to have 2 operators (ex: operators are division sign, multiplication, subtraction, and addition sign. )
Hope this helps :)
One piece of wheat bread contains 2 g of fiber or 8% of the amount of fiber that most people need in a day. What is 8% written and decimal and fraction?
8% written and decimal and fraction are 0.08 and 2/25 respectively
Writing percentage in decimal formGiven the percentage of fiber expressed as 8 %
We are to write 8% in both decimal and fraction form
Decimal form of 8% is 0.08
Fractional form of 8% = 8/100 = 2/25
Hence 8% written and decimal and fraction are 0.08 and 2/25 respectively
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is this relation a function? justify you answer.
Answer:
Yes
Step-by-step explanation:
If you perform the vertical line test, each row where there is a point only gets hit once, if it got hit twice it would not be a function.
A circle's radius is 15 centimeters.
What is the circle's circumference (use 3.14 for pi and round to nearest
tenth)?
Plzzzzzz help me
Answer:
use the formula for circumference
Step-by-step explanation:
Answer:
706.8 if rounded then its 706.9
change 6 to percentage.
-
25
Answer:
24%
Step-by-step explanation:
6÷25×100
to find in percentage
Answer:
6 as a percent would be 0.06.
Step-by-step explanation:
100 as a percent is 1.00
90 as a percent is 0.90
hope this helps, and you have a better understanding of percentages. please rate and mark as brainlest
George wrote an integer. The opposite of George's integer is -53. Which of these statements about George's integer must be true? I. The integer is 53. II. The integer has an absolute value of -53. III. The integer is -53. IV. The integers has an absolute value of 53.
Answer: The integers has an absolute value of 53.
Step-by-step explanation:
Given that:
George wrote an integer ;
Let integer = y
Opposite of integer = - 53
From the options given, the best conclusion that must be true is to say George's integer has an absolute value of 53. Because an absolute value clears our doubt of the integer being positive or negative. Also, an absolute value cannot be negative.
Also, an integer of - 53 cannot have an opposite value of - 53
Which expression is a trinomial
Answer:
x + y - 13
Step-by-step explanation:
It has three terms, or numbers or variables
Answer:
option 1
Step-by-step explanation:
A expression that has 3 terms is called trinomial.
x + y - 13 -----> trinomial
5r + 1/5)2 r=0 Yall the 2 mean squared
Answer:
So we want to divide by .
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
Now we can rewrite our first fraction:
- For our second fraction:
Now we can rewrite our second fraction:
Last but not least, we can express our division as a fraction and simplify:
We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is:
Step-by-step explanation:
What is angle P
I will mark you.
15b+5b+12+12b
simplified
Answer: 49B
Step-by-step explanation: Its the right answer
Answer:
32b + 12
Step-by-step explanation:
Add up all the values with b in them, so 15 + 5 + 12 = 32. Then, add the whole number. Your simplified answer should be 32b + 12.
Hopefully this helps- let me know if you have any questions!
please solve the following math problem
Answer:
Stretch
Step-by-step explanation:
lol no such thing as stretch theres only reflection, translation, and rotation
Someone please help me on this.
Answer:
[tex]36n^2+12n+1[/tex]
Step-by-step explanation:
Foil the equation!
1. You see that is to the second power so it means this [tex](6n+1)*(6n+1)[/tex]
2. Then you use the Foil method. First, Outside, Inside, and Last.
3. Combined like terms
4. Answer!
A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)
1. Multiply the first number by itself = [tex]6n *6n = 36n^2[/tex]
2. Add the first number by itself = [tex]6n+6n = 12n[/tex]
3. Multiply the last number by itself = [tex]1*1 =1[/tex]
4. Combined to form your answer = [tex]36n^2+12n+1[/tex]
NOTE: This is the same thing as a foil but it uses mental math so it takes less time!