Answer:
[tex]a_n=1.2 \cdot 2.5^{n-1}[/tex]
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
[tex]a_n=1.2 \cdot 2.5^{n-1}[/tex]
Hope this helps!
Answer:
f(x)=[tex]1.2(2.5)^{x-1}[/tex]
Step-by-step explanation:
5(y+2/5)= -13 (please have an explanation)
Answer:y=-3
Step-by-step explanation:5(y+2/5)=-13
so first you simplify both sides of the equation
(5)(y)+(5)(2/5)=-13
then you distribute
5y+2=-13
then you subtract 2 from both sides
5y+2-2=-13-2
5y=-15
then u divide both side by 5
5y=-15
5 5
y=-3
Susan's car is 4 yards long. Alexa's car is 16 feet long. When you line them up one in front of the other, how long are they together. Answer in feet
Answer:
28 feet long together
Step-by-step explanation:
in 1 yard there is 3 feet so in 4 yards it would be 3(4) which is 12. add 12 to 16 and you get 28
Answer:
28 feet
Step-by-step explanation:
A yard is 3 feet, so
4 yards*3 feet=12 feet.
12 feet+16 feet=28 feet
Check if your school has given you a conversion sheet to use. Some schools might also ask you to memorize it, but it's pretty simple. Hope this helps and good luck on your endeavours.
What are numbers 9 and 10
Answer:
9) not factorable
10) not factorable
Step-by-step explanation:
that's probably why you were having a hard time (-_-)
Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation 2x2 + 4x + 8 = 0.
Which explanation could Anderson provide?
The equation has no real number solutions because the discriminant is 0.
The equation has one real number solution because the discriminant is 0.
O The equation has no real number solutions because the discriminant is less than 0.
The equation has two real number solutions because the discriminant is greater than 0.
Mark this and return
and Exit
Next
Submit
Answer:
No real number solutions.
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
The discriminant is b² - 4ac
• If b² - 4ac > 0 the equation has 2 real and distinct roots
• If b² - 4ac = 0 the equation has 2 real and equal roots
• If b² - 4ac < 0 the equation has no real roots
Given
2x² + 4x + 8 = 0 ← in standard form
with a = 2, b = 4 and c = 8, then
b² - 4ac = 4² - (4 × 2 × 8) = 16 - 64 = - 48 , thus
The equation has no real number solutions because the discriminant is < 0
Answer:
It's c
Step-by-step explanation:
A box contains different-colored marbles. If P(blue) = 1, P(green) = 4, and P(blue and green) = 12, which state
true?
The events are independent because P(blue). P(green) = P(blue and green).
The events are independent because P(blue). P(green) + P(blue and green).
The events are dependent because P(blue). P(green) = P(blue and green).
The events are dependent because P(blue). P(green) + P(blue and green).
Answer:
Not 100 percent sure but i think the correct answer is the last one.
Step-by-step explanation:
I know that the answer is either the last one or before the last because they are dependent on each other. This is because the probability of both increases when they are added together. The more you have the more likely to get one of them. I went for the last one because i think that the value of together is greater than when they are added.
Again, not 100 percent sure, tried to give it my best shot.
Hope this helps.
Answer:
A) dependent, because the product of P(blue) and P(green) does not equal P(blue and green)
Step-by-step explanation:
Just did it on edge 2020
Witch of the following is an example of conditional statement? A. I have to wear rain boots when it rains. B. Grass grows after the rain. C. If it rains, then the ground gets wet. d. The ground is wet after the rain.
Answer: C. If it rains, then the ground gets wet.
Step-by-step explanation:
A conditional statement in math is a statement in the if-then form.
20 POINTS + BRAINLIEST! NEED HELP FAST!
This table represents a function.
Plot points to represent the function as a graph
x y
−4 10
0 8
4 6
10 3
Answer:
those x and y numbers are your point so (-4,10) would be your first point
Step-by-step explanation:
nanette installed a security system in her office for $150. the monthly monitoring fee is $30. so far, nanette has spent $420 for her security system. for how many months has she had the service?
Answer:
9 months.
Step-by-step explanation:
Well we subtract the one time fee of $150 from $420
420-150=270
Now we need to divide $270 by $30, the price she pays every month.
270÷30=9
She has had the service for 9 months.
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.
x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction
What is Tyler’s error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.
The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Answer:
D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Step-by-step explanation:
The correct simplification is the following:
[tex]\frac{x^{-3}}{y^{-9}} = [/tex]
[tex]= \frac{1}{x^3} \times \frac{1}{y^{-9}} =[/tex]
[tex]= \frac{1}{x^3} \times y^{9} =[/tex]
[tex]= \frac{y^{9}}{x^3}[/tex]
Answer:
The answer is D)
Start Fraction 1 Over r Superscript 7 Baseline End Fraction + Start Fraction 1 Over s Superscript 12 End Fraction
Step-by-step explanation:
Did the Test Zero & Negative Exponents on Engenuity.
ANSWER PLS!!!!!!! EASY!!!!!!!!!!
Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend?
Answer:
$607
Step-by-step explanation:
25% = 0.25
0.25*2428 = 607
Geometric or arithmetic
1/3,2/3,1 4/3
Answer:
Arithmetic.
Step-by-step explanation:
See if it's arithmetic:
2/3 - 1/3 = 1/3
1 - 2/3 = 1/3
4/3 - 1 = 1/3
- common difference of 1/3 so it's arithmetic.
Need help with this pls
Show work pls!!
Answer: 9.2
Step-by-step explanation:
Answer:
9.2
Step-by-step explanation:
Hoped this helped!
Study the patterns and write down :
(a) Row 5
(b) Row n
(c) Row (n+1)
Answer:
a) Row 5: 75 - 216 - 51
b) 3n² - (n+1)³ - (71-4n)
c) 3(n+1)² - (n+2)³ - (67-4n)
Step-by-step explanation:
Column 3:
Arithmetic sequence with common difference: 63-67 = -4
an = 67 + (n-1)(-4)
an = 67 - 4n + 4
an = 71 - 4n
Row 5: 3×5² - (5+1)³ - (71-(5×4))
Row 5: 75 - 216 - 51
Row n: 3n² - (n+1)³ - (71-4n)
Row n+1: 3(n+1)² - (n+1+1)³ - 71-4(n+1)
Row n+1: 3(n+1)² - (n+2)³ - (67-4n)
Answer:
Column 1
Tn= 3n²
row n= 3n²
row n+1= 3(n+1)²
When n=5,
T₅ = 3(5)²
T₅ = 75
Thus, row 5= 75
Column 2
Tn= (n+1)³
row n= (n+1)³
row n+1
= (n+1+1)³
= (n+2)³
When n=5,
T₅ = (5+1)³
T₅ = 6³
T₅ = 216
row 5= 216
Column 3
Notice that the terms decrease by 4 with each row.
This means that there is a common difference of -4.
Common difference formula
Tn= a +d(n-1)
where a is the first term and d is the common difference.
Tn= 67 -4(n-1)
Now, simplify the formula
Tn= 67 -4n +4
Tn= 71 -4n
Row n= 71 -4n
Row n+1
= 71 -4(n+1)
= 71 -4n -4
= 67 -4n
when n=5,
T₅= 71 -4(5)
T₅= 51
Row 5= 51
Row n is the general formula for the pattern. To find the n+1 row, susbt. n+1 into n in the formula in row n.
BRAINLIST AND 30 PTS ASAP
Answer:
3*3*3*3
Step-by-step explanation:
3^4
The exponent means how many times the base is multiplied
3*3*3*3
much love if u answer <3 <3"▵EHG ≅ ▵KFC; Which is a true statement?
A. EH ≅ FK
B. HG ≅ KF
C. EG ≅ KC
D. ∠E ≅ ∠C"
Choose the number that is a solution of the inequality: a + 9 < 5
A) -2
B) 5
C) 0
D) -5
( i kept getting -4 am i wrong or are the choices wrong?)
Identify the transformation from ABC to A’B’C
Please help me with this.
Answer: The volume is 3560.76 in^3 or 1134π
Step-by-step explanation:
The formula for the volume of a cylinder is πr^2*h
so the radius is 9 and the height is 14 so we will put that into the formula and solve.
v=3.14 * 9^2 * 14
v= 3.14 * 81 *14
v = 3560.76 in^3 or 1134π
A brother and a sister are in the same math class. There are 9 boys and 8 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
The probability is ?
Answer:
for the girl, the probability is 1/8 or one out of 8. And, for the boy, it is one out of 9 or 1/9. Do you need to find one probability rate for both of them or one for each kid?
Step-by-step explanation:
The box plots show Lauren’s chemistry scores and her biology scores. Chemistry 2 box plots. The number line goes from 50 to 100. For chemistry, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80. For biology, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70. Biology Lauren used the steps below to determine the differences in the medians and the interquartile ranges. Step 1 Find the median for chemistry: 80 Find the median for biology: 70 Step 2 Find the difference in the medians: 80 minus 70 = 10 Step 3 Find the interquartile range for chemistry: 85 minus 80 = 5 Find the interquartile range for biology: 80 minus 70 = 10 Step 4 Find the difference in the interquartile ranges: 10 minus 5 = 5 Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren’s error? Lauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology. Lauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology. Lauren made her first error in step 3 because she should have used 90 minus 55 = 35 for chemistry and 90 minus 50 = 40 for biology. Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
Answer:
Lauren made her first error in step 3 because she should have used 85 minus 60 = 25 for chemistry and 80 minus 60 = 20 for biology.
Step-by-step explanation:
Lauren's box plots may have looked like those below.
Step 1
Chemistry median = 80
Biology median = 70
Correct.
Step 2
Difference in medians = 80 - 70
Correct
Step 3
Chemistry IQR = 85 - 60 = 25
Biology IQR = 80 - 60 = 20
Wrong.
This is where Lauren made the mistake.
She was finding the difference between the Max and Q3.
Answer:
DStep-by-step explanation:
Please help me! I really need it! Will award Brainliest+30 points!
Thanks!
Answer:
1023
Step-by-step explanation:
[tex]8^{0}[/tex] = 1, [tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2, [tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^2}[/tex] = 4, [tex]8^{1}[/tex] = 8
The series can be expressed in non exponent terms as
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 ← 10 terms
There is a common ratio r between consecutive terms, that is
r = 2 ÷ 1 = 4 ÷ 2 = 8 ÷ 4 = .... = 2
This indicates the sequence is geometric with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 2, thus
[tex]S_{10}[/tex] = [tex]\frac{1(2^{10}-1) }{2-1}[/tex] = 1024 - 1 = 1023
Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.
What is the measure of angle BCD?
37°
53°
74°
106°
The measure of angle BCD in circle A is 74°.
What is a circle?A circle is the locus of a point such that its distance from a fixed point is constant.
From the circle:
BC = CD (tangents that meet at the same point are equal)
But ∠ABC = 90° (angle between tangent and radius)
In triangle ABC:
∠ABC + ∠BCA + ∠BAC = 180 (triangle)
90 + ∠BCA + 53 = 180
∠BCA = 37°
Hence:
∠BCA = ∠ACD = 37°
angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°
The measure of angle BCD in circle A is 74°.
Find out more on circle at: https://brainly.com/question/24375372
Each visit to a water park costs $19.95. An annual pass to the park costs $89.95. Write an inequality to represent the number of times you would need to visit the park for the pass to be a better deal. Use x for your variable. Do not use $ in the response PLS help
Answer: 19.95 x >89.95
Step-by-step explanation:
Hi, to answer this question we have to write an inequality using the information given:
The cost of each visit (x) is 19.95. That expression must be higher than the cost of the annual pass (89.95).
Mathematically speaking:
19.95 x >89.95
Feel free to ask for more if needed or if you did not understand something.
Answer:
what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8what plus what equals 4/8
Step-by-step explanation:
pls help i give u brainliest amd 5 stars
Answer:
160
Step-by-step explanation:
60-24=36 left
24 x 8 = 192
36/2=18
9 x 12 =108
108+192=300
300-140= 160 euros profit
kelly is hanging shelves in her closet. She can buy sheleves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measure 24 inches. The rest of her materials cost $90. How much change will she get it she pay with $100? please explain and show your work
The 24 inch shelve is 2 feet ( 1 foot = 12 inches)
She bout 7 feet of shelves (5 + 2 = 7)
The total cost for the shelves was 7 x 1.25 = $8.75
She spend an additional 90 so her total spent was 90 + 8.75 = $98.75
Now subtract her total from 100 to find the amount of change:
100 - 98.75 = 1.25
The change was $1.25
Please help, I don't understand how to do it
Which is the rate of change for the interval between 3 and 6 on the x-axis? –3 –2 2 3
Answer:
2
Step-by-step explanation:
multiplier of 2..
-------
Answer:
Which is the rate of change for the interval between 3 and 6 on the x-axis?
Step-by-step explanation:
c- 2
Help PLEASE I AM GOING TO FAIL MY CLASS
Answer:
9. (-1,3)
11. (4,1)
Step-by-step explanation:
Hope it helped
help help helphelp help helphelp help helphelp help helphelp help helphelp help help
Answer:
b
Step-by-step explanation:
20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!
Answer:
Division
Step-by-step explanation:
/ symbol mean division
I need help. This is hard for me. Please help
Answer: This is what I got -3.5 + 8.3 + (2/4 - 3) x 5*2 - 6.7