Answer:
The nth term of the sequence is
9n - 8Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
A(n) = 9n - 8Hope this helps you
The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.
Answer:
98
Step-by-step explanation:
Let's say the tens place is x and the ones place is y.
The tens place is one more than the one's place:
x = y + 1
Reversing the digits, plus the original number, is 187:
(10x + y) + (10y + x) = 187
11x + 11y = 187
x + y = 17
Substituting:
y + 1 + y = 17
2y = 16
y = 8
x = 9
The number is 98.
Let P(A)=35 and P(B|A)=89. What is the probability of events A and B occurring?
I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.
If so, then we multiply the probabilities to get P(A and B)
P(A and B) = P(A)*P(B|A)
P(A and B) = (3/5)*(8/9)
P(A and B) = (3*8)/(5*9)
P(A and B) = 8/(5*3)
P(A and B) = 8/15
Answer: 8/15What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
Step-by-step explanation:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
A(-8,-6) ; B(-3,-6)
[tex]AB= \sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\=\sqrt{(5)^{2}+ 0}\\\\= 5 units[/tex]
Why is [tex]a^{2}*a^{-6}* a^{6}=a^{5}[/tex] correct?
Answer:
incorrect
Step-by-step explanation:
We are multiplying exponents
Since the bases are the same, add the exponents
a^2 * a^-6 * a^6
a^ ( 2+-6 +6)
a^ (2)
This does not equal a^5
Answer:
no
Step-by-step explanation:
What is the x xx-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
The graph is a line so it will have an equation with this form:
y = mx+b
m is the slope and b is the y-intercept.
Let's calculate m:
● m = (-32-(-64))/(-9-(-21)) = 8/3
Now replace m with its value and x,y with coordinates of a point.
● -32 = (8/3)*(-9) +b
● -32 = -24 +b
● -32+24 = b
● -8 =b
Solve y = 0
●(8/3)*x+b = 0
● (8/3) *x = 8
● x = 3
The coordinates of the x-intercept are (3,0)
A pizza shop bought a bushel of fresh vegetables. 4/15 of the bushel was used on Friday, 3/5 on Saturday and 2/15 on Sunday. How much of the bushel is left for Monday?
Answer:
None. 0.
Step-by-step explanation:
To do this problem, we have to use common denominators. So we can do 3/5*3/3=9/15. Now we just add. 4/15 + 9/15 + 2/15 = 15/15 or 1. So there were none bushels left for Monday.
Find the value of x needed to make the equation below true.
Answer:
x= -3
Step-by-step explanation:
distribute and get -6x+20+4x=26
then simplify and get -2x=6
simplify again and get x=-3
Answer:
x= -3
Step-by-step explanation:
-4(1.5x-5)+4x=26
Simplify the problem:
-2x+20=26
Subtract 20 from both sides:
(-2x+20)-20=(26)-20
Simplify:
-2x=6
Divide both sides by -2
(-2x)/-2=(6)/-2
Simplify:
x=-3
I hope that was helpful! (Brainliest???) :P
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).
Answer:
see explanation
Step-by-step explanation:
GC = 11B + 1D
WS = 9B + 2D
Linear equations will point downward
Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.
Find the distance between (16,18) and (15,43) using the distance formula. PLEASE HELP!!
Answer:
I am pretty sure it is the square root of 626
Step-by-step explanation:
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
Question 4(Multiple Choice Worth 5 points)
(05.05 LC)
The base length of a triangle is 12 feet and the height is 6 feet. What is the area of the triangle?
10 square feet
12 square feet
18 square feet
36 square feet
Answer:
A = 36 ft^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 12) * 6
A = 36 ft^2
Answer:
36 square ft
Step-by-step explanation:
I NEED THIS ASAP, PLEASE HELP ME!!!! WILL MARK BRAINIEST IF CORRECT!!!
Write a real-world situation that includes a data set with 12 values.
Is your data set symmetric, left-skewed, or right-skewed? Explain.
Answer:
sure
Step-by-step explanation:
I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph
Find the mean of the data in the dot plot below.
Answer:
1.6
Step-by-step explanation:
So, first, write down the number of jokers in each deck of cards.
That would be: 0, 1, 2, 2, 3
Then, add up all those numbers.
0+1+2+2+3=8
Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.
8/5=1.6
So, the mean of the data in the dot plot shown is 1.6.
The mean of the data in the dot plot below is 1.6.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given:
Jokers in each of Marcie's decks of card would be 0, 1, 2, 2 and 3.
The mean,
= 0 + 1 + 2 + 2 + 3/5
= 8/5
= 1.6
Therefore, the mean is 1.6.
To learn more about the mean;
brainly.com/question/13451489
#SPJ3
HELPPP HURRYYYYYY Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10
Step-by-step explanation:
There are 20 cubes total.
2 of the twenty are green.
2/20=10%
10% of 100 is 10
Answer:
Step-by-step explanation:
So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!
Which sign makes this number sentence true? |-101| __ -85 A. > B. < C. = D. x
Answer:
|-101| > -85
Step-by-step explanation:
|-101| __ -85
The absolute value is taking the positive value
101 __ -85
101 is greater than -85
|-101| > -85
Answer:
>
Step-by-step explanation:
The taxi fare in Gotham City is $2.40 for the first ½ mile, and each additional mile costs $0.20. You plan to give the driver a $2.00 tip. How many miles can you ride for $10.00?
Answer:
He can ride for 28 miles
Step-by-step explanation:
Total cost of the ride = $ 10
Tips = $ 2
Cost of ride excluding tips = 10 - 2 = $ 8
Taxi fare for first 500 miles = $ 2.40
Taxi fare excluding first 500 miles = 8 - 2.40 = $ 5.60
distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile
= 5.60 ÷ 0.20
=28 miles
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10.
Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
Plug in the values.
3(3)² + 2(10)² - 15
Evaluate.
3(9) + 2(100) - 15
27 + 200 - 15
200 + 12
= 212
Answer: 212
Step-by-step explanation:
substitute the given values into the expression
3 ( 3 ) ^ 2 + 2 (10)^ 2 − 15 =
(3 ×9 ) + (2 × 100 ) - 15
= 27 + 200 - 15 =212
Hope this helped
Which represents the polynomial written in standard form?
Answer:
Step-by-step explanation:
b
Answer:
I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2
Step-by-step explanation:
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Answer:
4n
Step-by-step explanation:
Answer:
The 4th choice
Step-by-step explanation:
To figure this out you would have to just lug in all of the numbers into the equation to find the correct answer.
So first we would plug in the first number for a1 which will be -15. Then we would put in d or the common difference (the number of numbers in between the 2 numbers). So d in this case would be positive 4 since every single time the number is being added to 4.
Now we can solve, so we would just find all of the choices that do not have +4 because that will be wrong. Automatically you can see that choices 1 and 2 are wrong and 3 also looks wrong and the only one that matched our formula is 4 and 4 is the correct answer.
Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.
Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
6x−6=6x+15 Please solve this equation, i'll put the brainliest if its the right answer
Answer:
Step-by-step explanation:
6x-6=6x+15
or, -6+6x=15+6x
adding -6x in both sides
or, -6 + 6x + -6x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 + 0 = 15 + 6x + -6x
or, -6 = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
or, -6 = 15 + 0
or, -6 = 15
Solving
-6 = 15
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Answer:
x=7/4
Step-by-step explanation:
hope am correct
this is solved by collecting like terms
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5
Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
Answer:
6x^2-6x+5
Step-by-step explanation:
The area of rhombus ABCD is 120 square units. AE = 12 and BD = x – 2. What is the value of x and the length of segment BD?
Answer:
its a
Step-by-step explanation:
Answer:
X=12 BD=10
Step-by-step explanation:
See Above
Hi, guys whoever can help me with this question and give me the right answer, I will award brainliest. Please give answer fast. Find the value of X
Answer:
X= 65
Step-by-step explanation:
180°-50°=130 (Angles on a straight line)
2x=130 ( Corrresponding Angle)
X= 130÷ 2
= 65
Hope this helps.
Answer:
x = 65Step-by-step explanation:
In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.
180 - 50 = 130
2x = 130
Simplify by dividing
2x = 130
/2 /2
x = 65FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
250.72
Step-by-step explanation:
the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.
Answer:
175.4
Step-by-step explanation:
50+50=100
Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4
100+75.4= 175.4
please help me immediately
Answer:
3.4
Step-by-step explanation:
70cm +1.5m+1.20m
Since 70 is in cenimeters you have to convert it to meters
70cm=0.7m
So then you add them all up
0.7+1.5= 2.2
2.2+1.2= 3.4
So the answer is 3.4
Hope this helped!
Help me ASAP for this question? Estimate 48% of $33.95. $18 $20 $16
$17
Answer:
$16
Step-by-step explanation:
0.48 x 33.95 = 16.296
Answer:
Hey there!
48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.
Hope this helps :)
Help needed urgently explain how to do for each and everyone, please
Answer:
1) a0.1 = 1/10
b).0.64 = 64/ 100 = 16/25
2).a0.7841 = 7841 / 10,000
b).0.67 = 67/100
3). a0.53 = 53/100
b).0.26 = 26/100 = 13/50
4). a0.6 = 6/10 = 3/5
b.0.42 = 42/100 = 21/50
Hope this helps you
Select the arithmatic sequence from the following:
Select one:
a.-2, 3, 5, 10, 18
b.- 2.0, 8, 13, 17
C. - 2, 3, 8, 15, 20
d. - 2, 3, 8, 13, 18
Answer:
d) -2, 3, 8, 13, 18
Step-by-step explanation:
d) is the only one that has the same change each time (+5)
Answer:
[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]
Step-by-step explanation:
[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]