Answer:
[tex]a_1 = -11\\\\a_n = a_{(n - 1)} + 22[/tex]
Step-by-step explanation:
An arithmetic sequence is generally given as:
f(n) = a + (n - 1)d
where a = first term and f(n) = nth term, d = common difference
The explicit formula given is:
f(n) = 11 + 22(n - 1)
The recursive formula is made of two statements, the first term and the formula showing how successive terms are related.
Mathematically, it is given as:
[tex]a_1 = a\\\\a_n = a_{(n - 1)} + d[/tex]
Therefore, the recursive formula is:
[tex]a_1 = -11\\\\a_n = a_{(n - 1)} + 22[/tex]
Answer:
The actual answer is g(1)=1
g(n)=g(n−1)+5
Step-by-step explanation:
Help please .....................
Answer:
70
Step-by-step explanation:
well you know that angles in the same segment are equal so angle VWZ also= 38
triangle VWZ is a triangle so the sum of interior angles sums to 180
180-72-38=70
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
I’m confused. Thanks
Step-by-step explanation:
Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC
and corresponding angles are equal or congruent.
Ok so angle XBC = 55 degrees and since this an isosceles triangle
XBC = XCB which means XCB = 55 degrees
Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.
Angle XBC + Angle XCB + Angle BXC = 180 degrees
Let x represent angle BXC
55 + 55 + x = 180
110 + x = 180
x = 180 - 110
x = 70
∴ Angle BXC = 70 degrees
Find the largest number which divides 296 and 1250 , leaving remainders 29 and 8 respectively
Answer:
3.
Step-by-step explanation:
It looks like the question is wrong. I think you mean the remainder for 1250 is 29 and for 296 it is 8.
1250 - 29 = 1221
296 - 8 = 288
We need the GCF of 288 and 1221:
1221 = 3 * 11 * 37
288 = 2*2*2*2*2*3*3
Which is also 3!!
I really don't know sorry.
work out the volume of a pyramid please help i’ll give u brainlest
Answer:
2406.17
Step-by-step explanation:
Answer:
2406.17 is you answer please park brainlest
Step-by-step explanation:
Explain how to choose an appropriate unit for a measurement.
Answer:
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.Step-by-step explanation:
a store is having a sale on almonds and jelly beans. for 2 pounds of almonds and 3 jelly beans , the total cost is $14. for 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $33. find the cost of each pound of almonds and each pound of jelly beans
Answer:
almonds cost $3.25 per pound and jelly beans $2.50
Step-by-step explanation:
system of linear equations
2a+3j=14
4a+8j=33
solution is (3.25, 2.5)
Please solve this problem. I will give brainliest:
((4x+6)*70)/2=4
Solve for x
Answer:
x = -103/70 or approximately -1.47
Step-by-step explanation:
First, what I would do is get rid of the denominator, 2. You do this by perming the inverse operation to both sides, so you multiply both sides by 2.
Now your equation is: 70(4x+6) = 8
Next what I did was distribute the 70 inside the parentheses:
280x + 420 = 8.
Then you subtract 420 from both sides:
280x = -412
To get x by itself, you have to divide both sides by 280:
x= -412/280 , which simplifies to -103/70 , or can be written as an approximation of -1.47 (rounded to nearest hundredth)
This number looks nasty, but I checked my work so it should be right :)
Answer:
x= −103 /70
Step-by-step explanation:
Jake paid $40.50 per solar panel for eight panels and an additional installation fee for a total of $338.50. Jen paid $42.99 per panel for eight panels and an additional installation fee for a total of $354.42. Find the difference between the installation fees Jake and Jen paid.
Answer: $4.00
Step-by-step explanation:
$40.50 * 8 = $324.00
$338.50 - $324.00 = $14.50
Jake’s installation fee is $14.50
$42.99 * 8 = $343.92
$354.42 - $343.92 = $10.50
Jen’s installation fee is $10.50
To find the difference between the two fees, you subtract the larger fee by the smaller fee.
$14.50 - $10.50 = $4.00
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am
CHECK THE COMPLETE QUESTION BELOW:
Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour
Answer:
I will make $13.2 per hour
Explanation:
It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour
Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that
10% = (10/100)*$12per hour
=$1.2per hour
Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:
15% = (15/100)*$12per hour
=$1.8 per hour
which means that Employee gets additional $1.8 per hour
of the money for working from 12.00 AM to 01.00 AM
Therefore, if Employee works from 2.00 PM to 12.00 AM,
Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which
= $12 + $1.2 = $13.2
= \$ 12 + \$ 1.2 = \$ 13.2
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answer:
The answer is "64".
Step-by-step explanation:
Given:
8-sided fair die
output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
if the Dice is thrown two times. so, the possible outputs are as follows:
[tex]\to 8 \times 8=64[/tex]
[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]
[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]
[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]
[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]
That's why the product is 64.
Triangle JKL is similar to triangle TUV. Find the missing side length of triangle TUV.
A. 10.6
B. 6
C. 6.2
D. 5.8
Answer:
B) 6 inches
Step-by-step explanation:
==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.
Thus:
JK/TU = JL/TV = KL/UV
10/7.5 = 8/x = 13/9.75
Let's find x
10/7.5 = 8/x
=>Cross multiply
10*x = 8*7.5
10x = 60
Divide both sides by 10
x = 6 inches
Our answer is B) 6 inches
A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: What can be interpreted from the range of this graph?
The range represents the 54-month time period of the study.
The range represents the 36-month time period of the study.
The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.
Answer:
The correct answer is C.
Step-by-step explanation:
First, we can eliminate A and D since it is obviously only 36 months.
Note that the question asks what can be interpreted from the range of the graph.
The range is the number of users in thousands (per month) (as can be seen from the side title).
While B is technically correct, it wrongly interprets the range. C is the best choice.
The correct answer is C.
An inequality is shown. 12+11/6x≤ 5+3x Select the statement(s) and number line(s) that can represent the inequality. Click all that apply. a. The solution set is {6, [infinity]} for x ∈ R. b. The solution set is {6, 7, 8, …} for x ∈ N. c. 6 ≤ x d. The value of a number substituted for x is greater than 6. (more options below.)
Answer:
(a)The solution set is: [tex]x \in [6, \infty) \forall x \in R[/tex]
(c) [tex]6 \leq x[/tex]
Step-by-step explanation:
Given the inequality: [tex]12+\dfrac{11}{6}x\leq 5+3x[/tex]
We solve by collecting like terms
[tex]12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6[/tex]
The solution set is therefore: [tex]x \in [6, \infty) \forall x \in R[/tex]
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game?
Answer:
The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"
Step-by-step explanation:
Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:
[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]
The chances of losing a dollar add up to that amount, so 5/6.
Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]
[tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]
The final answer is "[tex]-\frac{1}{2}[/tex]"
Is -15.5 a rational number
Answer:
Yes
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio of two integers, for example, 1/2. Rational numbers can be negative too. -15.5 can be expressed as the ratio of two integers in many ways: -31/2 or -62/4. So, yes! -15.5 is a rational number.
A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?
We got $19.51 but we think it is wrong.
Answer:
Less than 13 pounds of grapes,
as 14 pounds of grape exceeds $35.80,
If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound
Step-by-step explanation:
Let
Quantity of Apple and grapes=20
Cost of apple=$2.19
Cost of grape=$2.60
Total cost of apple and grape=$35.80
a+g=20
a=20-g
PaQa+PgQg=35.80
2.19(20-g)+2.60g=35.80
43.8-2.19g+2.60g=35.80
0.41g=35.80-43.8
0.41g=-8
g=-8/0.41
g= -19.51
PaQa+PgQg=35.80
2.19a+2.60(-19.51)=35.80
2.19a-50.726=35.80
2.19a=35.80+50.726
2.19a=86.526
a=86.526/2.19
=39.51
PaA+PgG=35.80
Pa(20-G)+2.60G=35.80
35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0
G<13.77
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
38.47 units²
Step-by-step explanation:
I got it right on the test...
find the equivalent expression to 5^6 5^11/5^5 5^6/5^1 5^1/5^16 5^11/5^-5
Answer:
[tex]5^{11}/5^5[/tex]
Step-by-step explanation:
[tex]5^{11}/5^5=5^6[/tex]
[tex]5^6/5^1=5^5[/tex]
[tex]5^1/5^{16}=5^{-15}[/tex]
[tex]5^{11}/5^{-5}=5^{16}[/tex]
In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
please help !!
Answer:
DF = 25
Step-by-step explanation:
We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
So,
DF = [tex]\frac{1}{2} AC[/tex]
Where AC = 50
DF = 50/2
DF = 25
A cylindrical tank contains 180000cm of water.
The radius of the tank is 45 cm.
Calculate the height of water in the tank. there is no ball
Answer:
28.29 cm
Step-by-step explanation:
The formula for the cylinder is πr²h.
180000 = π(45)²h
180000 = 6361.725124h
h = 28.294212
The height is 28.29 cm.
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)
Answer: 1/24
Step-by-step explanation:
You multiply the fraction of the first probability by the fraction of the second probability.
The spinner has 4 colors, the odds of it landing on blue is 1/4
The cube has 6 numbers, the odds of it landing on 4 is 1/6
1/4 * 1/6 = 1/24
the sum of the interior angles of a polygon is 3960 degrees find the size of its exterior angles
Answer:
4320 degrees
Step-by-step explanation:
If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.
A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to
180 degrees.
Sum of all the exterior angles of any polygon is
360 degrees
As sum of all the interior angles of the polygon is
3960 degrees
Sum of all pairs of exterior and interior angles is
3960 degrees + 360degrees = 4320 degrees
Given the image below, what is the image of C after a dilation with a scale factor of 3
about a center (2,1)? Show all work and explain your reasoning.
PLEASE HELP
Answer: The coordinates of point C after the dilation are (-2, 5)
Step-by-step explanation:
I guess that you want to find where the point C ends after the dilation.
Ok, if we have a point (x, y) and we do a dilation with a scale A around the point (a,b), then the dilated point will be:
(a + A*(x - a), b + A*(y - b))
In this case we have:
(a,b) = (2,1) and A = 3.
And the coordinates of point C, before being dilated, are: (1, 2)
Then the new location of the point C will be:
C' = (1 + 3*(1 - 2), 2 + 3*(2 - 1)) = (1 -3, 2 + 3) = (-2, 5)
Work out ( 2 × 10 5 ) × ( 3 × 10 4 ) Give your answer in standard form.
Answer:
Interpreting as: standard form
Input interpretation:
standard form
Definition:
The standard form of a line in the Cartesian plane is given by
ax + by = c
for real numbers a, b, c element R.
I'd greatly appreciate the help-
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
WILL GIVE BRAINLIEST, please help! Calculate JK if LJ = 39, JM = 80, and LM = 89 (Hint: Use proportions)
Answer:
≈ 18.46
Step-by-step explanation:
LJ = 39, JM = 80, and LM = 89
JK= x ⇒ KL= 39-x
JM/LM= x/(39-x)
80/89=x/(39-x)89x= 80*(39-x)89x+80x= 80*39169x= 3120x= 3120/169x≈ 18.46Calculate ff(-3). You will get BRAINLIEST.
Answer:
[tex]ff(-3)=-17[/tex]
Step-by-step explanation:
Image attached below.
3000000000-900000000
Answer:
the answer is 2,100,000,000