PLEASE HELP FUE NOW Marcie knows that the last number to her locker combination is a perfect square. Which of the following numbers might be the last number Marcie uses to open her locker?
8
ОО
36
24
2
Answers
Answer:
2! Cause the hint is that all of the options are her locker conbination! (I think it is)
Step-by-step explanation:
Answer:36
Step-by-step explanation:
6•6 is 36 perfect square
Related Questions
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answers
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
In the circle below, segment AB is a diameter. if the length of are ACB is 6, what is the length of the radius of the circle?
Answers
If AB is the diameter, it means the arc ACB is a semicircle (arc of 180°).
So, to calculate the radius of the circle, we can use the following rule of three:
\(\begin{gathered} \text{arc}\to\text{length} \\ 360\degree\to2\pi r \\ 180\degree\to x \\ \frac{360}{180}=\frac{2\pi r}{x} \\ 2=\frac{2\pi r}{x} \\ 2x=2\pi r \\ x=\pi r \end{gathered}\)The length of a semicircle is given by πr. If this arc measures 6π, we have:
\(\begin{gathered} \pi r=6\pi \\ \frac{\pi r}{\pi}=\frac{6\pi}{\pi} \\ r=6 \end{gathered}\)So the radius of this circle is equal 6 units.
The perimeter of the triangle is the same as the perimeter of the square
3x - 4
5x - 6
2r - 2
Calculate the area of the square.
Your answer
Answers
Answer:
:(
Step-by-step explanation:
If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that exactly 2 don't grow
Answers
Answer:
0.2301 = 23.01% probability that exactly 2 don't grow.
Step-by-step explanation:
For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
90% chance of growing into a healthy plant.
This means that \(p = 0.9\)
12 seeds are planted
This means that \(n = 12\)
What is the probability that exactly 2 don't grow?
So 12 - 2 = 10 grow, which is \(P(X = 10)\). Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301\)
0.2301 = 23.01% probability that exactly 2 don't grow.
A student must answer 3 out of 5 essay questions on a test. In how many different ways can the student select the questions?
Answers
The student can select the questions in 10 different ways.
We have,
The student can select any 3 out of the 5 essay questions.
The number of ways to do this can be calculated using the binomial coefficient formula:
C(5, 3) = 5! / (3! x 2!)
= (5 x 4 x 3) / (3 x 2 x 1)
= 10
Therefore, the student can select the questions in 10 different ways.
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Which fraction is the greatest (represents the largest quantity) ? a.1/3 b.3/8. c.2/5 d.1/2
Answers
Answer:
D. \(\frac{1}{2}\)
Step-by-step explanation:
If you have a pie for example and you cut it in half you have two seperate big pieces. On the other hand if you you were to cut it for example 1/3 times that 1 piece out of the three would be smaller than your half.
-Hope this helps :)
Solve the following equations by graphing. Give your answer to the nearest tenth.
Answers
Remember that
when solving a system of equations by graphing, the solution is the intersection of both graphs
so
Part A
we have
3(2^x)=6x-7
that is the same that
y=3(2^x)
y=6x-7
The solution is the x-coordinate of the intersection point in both graphs
using a graphing tool
There are no intersection points
that means
The system has no solution
Part B
we have
10x+5=-x+8
y=10x+5
y=-x+8
The solution is the x-coordinate of the intersection point in both graphs
using a graphing tool
The solution is x=0.27
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2 bags. Which type of grape is most expensive?
Answers
Answer:
Red grapes.
Step-by-step explanation:
If you find how much one bag of each grape cost which is:
$13.00 ÷ 5 = 2.60 (1 bag of red grapes)
$5.08 ÷ 2 = $2.54 (1 bag of green grapes)
See the price and you'll know it is red grapes.
what are the steps to solve this
Answers
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
The following is data for the first and second Quiz scores for 8 students in a class.
First Quiz Second Quiz
14
16
29
42
43
44
47
48
11
17
31
35
37
37
38
43
Plot the points in the grid below, then sketch a line that best fits the data.
50+
45
40-
35
30
25
20
15
10-
5+
Clear All Draw:
5 10 15 20 25 30 35 40 45 SC
YAY
Answers
The equation of the line of best fit is ŷ = 0.8x + 3.3
How to determine the equation of the line of best fitFrom the question, we have the following parameters that can be used in our computation:
X- 14 16 29 42 43 44 47 48
Y- 11 17 31 35 37 37 38 43
When these values are entered in a graphing calculator, we have the following summary:
Sum of X = 283Sum of Y = 249Mean X = 35.375Mean Y = 31.125Sum of squares (SSX) = 1343.875Sum of products (SP) = 1055.625For the regression equation, we have
ŷ = bX + a
Where
b = SP/SSX = 1055.63/1343.88 = 0.78551
a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764
So, we have
ŷ = 0.78551x + 3.33764
Approximate
ŷ = 0.8x + 3.3
Hence, the equation is ŷ = 0.8x + 3.3
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If 4x-3=5, what is the value of x
Answers
Answer: the answer is two :)
Step-by-step explanation:
4x=5+3
4x=8
x= 8/4
x=2
4x-3=5
4x=8
X=2
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answers
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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A 130 gallon tank initially contains 10 lbs salt dissolved in 60 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow
Answers
Answer:
80 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x
Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x
The tank begins to overflow when it is full (has reached 130 gallons). Therefore:
130 = 60 + 2x
2x = 130 - 60
2x = 70
x = 35 minutes.
In 35 minutes the tank would start to overflow.
1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb
1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb
Initially there is 10 lb of salt dissloved into 60 gallons of water.
Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.
need help I don’t know what to do please help !!
Answers
Answer:
Yes, because the monthly service fee is approximately the same each month.
Step-by-step explanation:
At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.
Please help
Chose of the problems a or b
Thank you!!
Answers
Answer:
a. x = 13m, b. x = 12cm
Step-by-step explanation:
a. x² = 12² + 5² (Pyth. theorem)
x = 13 m
b. 15² = 9² + x² (Pyth. theorem)
x = 12 cm
2. The ramp above connects two vertical supports,
forming two similar triangles: AADE~ AABC. Side AC corresponds to which side in the other triangle?
Answer:
3. What is the length of side BC?
Answers
The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units
Side AC corresponds to which sideFor two triangles to be similar, the corresponding sides of the triangles must be in proportion
Having said that
The side AC corresponds to the side AC in the other triangle
What is the length of side BC?The length BC is calculated as
BC/9 = 25/15
Express as products
So, we have
BC = 9 * 25/15
Evaluate the products
BC = 15
Hence, the length of BC is 15 units
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A whale shark can weigh up 47,000 pound. Write this number in scientific notation
Answers
Step-by-step explanation:
\( = 47.000\)
\( = 4,7 \times 10.000 \)
\( = 4,7 \times {10}^{1+1+1+1} \)
\( = 4,7 \times 10^4 \)
The scale below represents which equation or inequality?
Answers
A fair 6-sided die is rolled 480 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?
160
240
320
500
Answers
The probable number of odd outcomes possible in 480 rolls is 240
The number of odd values on a six-sided die :
Odd values = (1, 3, 5) = 3The probability of obtaining an odd outcome on a single roll :
favorable outcome/total possible outcomesP(odd) = 3/6 = 1/2.
Expected value :
Number of rolls * probability per rollExpected value = 480 * 1/2 = 240
Therefore, the probable number of odd outcomes would be 240
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You are purchasing a used car for $9,000. How much interest would you pay at 9.6% APR if you had the
loan for 5 years?
Answers
One would pay $5,232.96 in interest over the 5-year loan term.
How much interest would you pay at 9.6% APR?To get interest paid on the loan, we will the formula for compound interest \(Interest = Principal * (1 + Annual Interest Rate)^{Number of Years} - Principal\)
The principal is the loan amount which is $9,000.
The annual interest rate is 9.6%
The number of years is 5.
Interest = $9,000 * (1 + 0.096)^(5) - $9,000
Interest = $9,000 * 1.58144018701 - $9,000
Interest = $5,232.96168
Interest = $5,232.96.
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Find the equation of the line that passes through (-4, 2) and is perpendicular to the line that goes through (-4, 6) and (5, 2).
Answers
Answer:
9x -4y = -44
Step-by-step explanation:
You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).
Equation of a LineThe equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...
(x2 -x1)(x -h) +(y2 -y1)(y -k) = 0
Using the given points, this becomes ...
(5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0
9(x +4) -4(y -2) = 0
Expanding this gives the general form equation:
9x -4y +44 = 0
Subtracting the constant gives the standard form equation:
9x -4y = -44
simplify; 4/9 + 1/3
a. 5/12
b. 7/9
c. 1 1/9
d. 1 5/9
Answers
Answer:
7/9
Step-by-step explanation:
if you add the two numbers you will get 7/9
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Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
Answers
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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find the vertex of y= x^2 + 6x-55
Answers
Answer: ( − 3 , − 64 )
Step-by-step explanation:
knowledge!
K
Of the 2440 respondents to a survey. 1050 claimed to be worried about their health. What is the likelihood that a person selected at random will not be worried about their health? Round to two decimal places
OA. 2,562.00%
OB. 42.62%
OC. 43.03%
OD. 56.97%
Answers
If of the 2440 respondents to a survey. 1050 claimed to be worried about their health. The likelihood that a person selected at random will not be worried about their health is D. 56.97%.
How to find the probability?The number of respondents who did not claim to be worried about their health is 2440 - 1050 = 1390.
So, the likelihood that a person selected at random will not be worried about their health is:
= 1390/2440 ×100
= 56.97%
Therefore there is a 56.97% chance that a person selected at random will not be worried about their health.
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what is 2/3 of 6/7 in lowest terms.?
Answers
six less than twice a number is four in algebraic expression?
Answers
Answer:
6 < 2n = 4
Step-by-step explanation:
ig
When x= 3, y = 36.
When x = 10, y = 120.
What is the constant of proportionality?