Answer: it has a 20% increase
Guided Practice
Find the first, fourth, and eighth terms in the sequence.
an=−5 · 3n−1a subscript n baseline equals negative 5 times 3 superscript n minus 1 baseline
A.
–15; –405; –32,805
B.
5; 135; 10,935
C.
–5; –135; –10,935
Answer:
C.
–5; –135; –10,935
Step-by-step explanation:
Answer:
C. -5; -135, -10,935
Step-by-step explanation:
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SEE QUESTION IN IMAGE
Answer:
23Data is:
5, 6, 7Mean:
(5 + 6 + 7)/3 = 6Standard deviation:
σ = [tex]\sqrt{((5 - 6)^2+(6-6)^2+(7-6)^2)/3} = \sqrt{2/3}[/tex]Correct choice is d
24Data is:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5Mean:
(-5 -4 - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 + 5)/11 = 0Standard deviation:
σ = [tex]\sqrt{((-5)^2+(-4)^2+(-3)^2+(-2)^2+(-1)^2+0^2+1^2+2^2+3^2+4^2+5^2)/11} = \sqrt{10}[/tex]Correct choice is d
25Data is:
3, 4, 5, 6, 7Mean is:
5Standard deviation:
σ = [tex]\sqrt{((3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2)/5} = \sqrt{2}[/tex] ≈ 1.4Correct choice is d
If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle
[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex] by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate
∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 × [tex]\overline{AB}[/tex]
∴ [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2
[tex]\overline{AB}[/tex] = 14/2 = 7
[tex]\overline{AB}[/tex] = 7 units.
Answer:
7 units
Step-by-step explanation:
Find the length of CB
.
Answer:
CB = 7
Step-by-step explanation:
CB = CK
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4 / 2
x = 2
CB = 5x - 3
= 5 ( 2 ) - 3
= 10 - 3
CB = 7
Answer:
CB = 7
Step-by-step explanation:
since the 2 triangles are AAS (B, K, E, CE as shared side) proven congruent, CB and CK must have the same length.
5x - 3 = 3x + 1
2x = 4
x = 2
CB = 5x - 3 = 5×2 - 3 = 10 - 3 = 7
Help me solve this please I’m struggling
9514 1404 393
Answer:
9.5maximum, 34.5, 510.9Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
The irrigation system is positioned 9.5 feet above the ground.The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
The spray reaches a maximum height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head.The spray reaches all the way to the ground at about 10.9 feet away.The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR.
By the time her daughter is 21 years old, how much money has been deposited in her account?
Answer:
By the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Step-by-step explanation:
Since a woman deposits 100 EUR in her daughter's bank account on her first birthday, and on every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR, to determine, by the time her daughter is 21 years old, how much money has been deposited in her account, the following calculation must be performed:
100 + (20 x 10) = X
100 + 200 = X
300 = X
Therefore, by the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Please help asap!!!!! At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
Answer:
120 different meals.
Step-by-step explanation:
Start with the entrees: There are 4
There are side dishes : 4
Drinks: 5
The side dishes can be 4!/(2!2!) (order does not matter here). There are 6 ways.
The entrees are 1 of 4: 4
And 5 drinks
P(dinner) = 5 * 4 * 6 = 120
Answer:
120
4 * (4C2) * 5
4 * (6) * 5
Step-by-step explanation:
burrito,
pasta,
soup,
taco.
french fries,
salad,
potato salad
, coleslaw.
soda,
coffee,
water,
milk,
juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
Five friends raced each other. Bill finished next to last. John finished behind Bill. Al finished after Clark and before Tony. Which friend finished third?
Answer:
Tony
Step-by-step explanation:
Please help explanation if possible
Answer:
y=-3x+5
Step-by-step explanation:
concepts: y=mx+b is slope intercept equation formula
m=slope
b= y intercept
Therefore we need to find the slope and y intercept
first find slope
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
let y2 be 2
let y1 be -4
let x2 be 1
let x1 be 3
[tex]\frac{2-(--4)}{1-3}[/tex]
6/-2 = -3
m=-3
slope is -3
y= -3x+ b
we need find y intercept now
just plug in (1,2) into that equation
2=-3(1)+b
b=5
y=-3x+5
PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM
Answer:
b=12
Step-by-step explanation:
b^2+35^2=37^2
b^2+1225=1369
b^2=144
b=12,-12
Lengths can't be negative, so b=12
Answer:
b=12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225+b^2 =1369
b^2 =1369-1225
b^2 = 144
Taking the square root of each side
sqrt(b^2) = sqrt(144)
b=12
find the missing side
Answer:
x ≈ 13.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )
40 × cos70° = x , then
x ≈ 13.7 ( to the nearest tenth )
(-1,6),(3,-4) find the slope and y intercept.
Answer:
Y =-2.5X +3.5
Step-by-step explanation:
x1 y1 x2 y2
-1 6 3 -4
(Y2-Y1) (-4)-(6)= -10 ΔY -10
(X2-X1) (3)-(-1)= 4 ΔX 4
slope= -2 1/2
B= 3 1/2
Y =-2.5X +3.5
A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.
What is the probability that the sum is less than 6?
0.563
0.714
0.625
0.750
Answer:
0.625
Step-by-step explanation:
Since there are 4 options each time the spinner is spun, there are a total of [tex]4\cdot 4=16[/tex] non-distinct sums possible when we spin it twice.
Out of these, the possible sums that meet the condition (less than 6) are 2, 3, 4, and 5 (since the smallest sum possible is 1+1=2).
Count how many ways there are to achieve each of these sums:
[tex]1+1=2\\\\1+2=3\\2+1=3\\\\2+2=4\\1+3=4\\3+1=4\\\\2+3=5\\3+2=5\\4+1=5\\1+4=5[/tex]
Totally there are 10 ways to achieve a sum less than 6. Therefore, the desired probability is [tex]\frac{10}{16}=\frac{5}{8}=\boxed{0.625}[/tex]
Match the system of equations on the left with the number of solutions on the right
Answer:
top to bottom, the answers are b, c, a
Step-by-step explanation:
One way to find the solution to a system of equations is to substitute values in. For the first one,
y=2x+3
y=2x+5,
we can substitute 2x+3 =y into the second equation to get
y=2x+5
2x+3 = 2x+5
subtract 2x from both sides
3 = 5
As 3 is not equal to 5, this is never equal and therefore has no solution
For the second one,
y= 2x+7
y = (-2/3)x + 10
We can plug y=2x+7 into the second equation to get
2x + 7 = y = (-2/3)x + 10
2x + 7 = (-2/3)x + 10
add (2/3)x to both sides to make all x values on one side
2x + (2/3)x + 7 = 10
subtract 7 from both sides to make only x values on one side and only constants on the other
2x + (2/3)x = 3
(6/3)x + (2/3)x = 3
(8/3)x = 3
multiply both sides by 3 to remove a denominator
8x = 9
divide both sides by 8 to isolate x
x=9/8
There is only one value for when the equations are equal, so this has one solution
For the third one
y = x-5
2y = 2x - 10
Plug x-5 = y into the second equation
2 * y= 2*(x-5)
2 * (x-5) = 2x - 10
2x-10 = 2x-10
add 10 to both sides
2x=2x
As 2x is always equal to 2x, no matter what x is, there are infinitely many solutions for this system
What is the slope-intercept equation of the line below?
-5
A. y = 3x + 4
B. y=-3x + 4
C. y=-3x-4
D. y = 3x - 4
Answer:
The answer is B. y=-3x+4
Step-by-step explanation:
Have a great day :)
write an equation for a line that is perpendicular to 2x - 4y = 10
Answer:
5
The correct answer is Y= - __
4
complete the statements about the closure of sets
Answer:
Step-by-step explanation:
The first box is 'not closed'
Second is ' an element'
Third = 'closed' and last is 'an element'.
a-1/3 =3/4
what is a
Answer:
a = 13/12
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
a - 1/3 = 3/4
Step 2: Solve for a
[Addition Property of Equality] Add 1/3 on both sides: a = 13/12Please enter the missing number: 4, 5, 8, 17, 44, ?
Answer:
81
Step-by-step explanation:
from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.
difference is just multiplying the previous difference with 3 and add it with the previous number .
Find the missing number.
____ × 7 = 91
please help me
Answer: 13
Step-by-step explanation:
Take 7 to the other side and divide 91 by 7, the answer will be 13.
There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?
Answer:
4
Step-by-step explanation:
2/5*3000 = 1200 seniors
then
3000 - 1200 = 1800 students not seniors
therefore
4/5* 1200 = 960 do not like rock climbing
and
9/10** 1800 = 1620 also do not like it:
"how many students are in favor of this idea?"
subtract the "don't likes" from 3000
3000 - (960+1620) = 420 like rock climbing:
3x-x+2=4
Step-by-step explanation:
here's the answer to your question
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
PLS HELP ME WITH THIS IM FAILING TERRIBLY PLS ITS PYTHAGOREAN THEOREM
Answer:
5.7
Step-by-step explanation:
9^2=x^2+7^2
Solving for x we get 81 - 49 which is 32.
The square root of 32 rounds to 5.7
Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37
Find the standard deviation of this sample of times. Round your answer to two decimal places.
=___
Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
Which of the lists of letters all have line symmetry?
1. (A, B, C, D)
2. (W, X, Y, Z)
3. (L, M, N, O)
4. (S, T, U, V)
Answer:
The first row
Step-by-step explanation:
Letters A,B,C,D
==================================================
Explanation:
Check out the diagram below to see where the lines of symmetry are located.
For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.
For letter B, we have a horizontal line through the center. This applies to letters C and D as well.
This is why answer choice 1 is the final answer.
-----------
For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.
Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.
Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.
Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due at the end of every months. Interest on the mortgage is 4% compounded semi-annually and the mortgage is renewable after five years. a) What is the size of each monthly payment? b) What is the outstanding principal at the end of the five-year term? c) What is the cost of the mortgage for the first five years?
Answer:
Size of each monthly payment = $161.69 per month
Step-by-step explanation:
Given:
Value of property = $20,000
Downpayment = 20%
Number of payment = 12 x 10 = 120
Interest rate = 4% = 4% / 12 = 0.33 %
Computation:
Loan balance = 20,000 - 20%
Loan balance = $16,000
A] Size of each monthly payment [In Excel]
Size of each monthly payment = PMT(0.33%,120,16000,0)
Size of each monthly payment = $161.69 per month
Please help explanation if possible
[tex] \Large \colorbox{red}{ \sf\color{white}{Aиswεr : }}[/tex]
Sudden uncontrollable fear or anxiety, often causing wildly unthinking behaviour.
Answer:
y = 0.45x
Step-by-step explanation:
After 2 secs can ring 2 × 0.45
After 3 secs can ring 3 × 0.45
After 4 secs can ring 4 × 0.45 , then
After x secs can ring y = x × 0.45 = 0.45x , that is
y = 0.45x
9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons
Mrs. Albert has three times as many gladiolas as Mr. Haas. Together they have 128 gladiolas. How many gladiolas does Mrs. Albert have?
Answer:
96
Step-by-step explanation:
Let the gladiolas Mr Haas has be x
We know that Mrs Albert has 3 times as many gladiolas as Mr. Haas, so Mrs Albert has:
3x gladiolas
Together they have 128 gladiolas, so:
x + 3x = 128
4x = 128
x = 128/4
x = 32
Therefore Mr Haas has 32 gladiolas & if Mrs. Albert has 3 times more than him she has (32x3) = 96 gladiolas.
answered by g a u t h m a t h
