I'm assuming the function given is y = 9300(0.991)^x
If so, then the base of the exponent 0.991 is in the form 1+r
1+r = 0.991
r = 0.991-1
r = -0.009
The negative r value indicates a percent decrease.
Specifically it is a 0.9% decrease since 0.009 = 0.9/100 = 0.9%
Any time you have a percent decrease like this, the exponential function is undergoing decay.
(I need help) Diameter is 32.8ft how do you do the Radius,Area,Circumference?
Answer:
well the diameter is half of the circle so radius is half of that
the formula for that is 3.14*r
so your answer should be 50.025
What is the approximate area of the figure below?
The triangles are congruent by SSS or HL
Which transformation(s) can map MNQ onto PQN
Translation only
Reflection only
Rotation, then reflection
Rotation, then translation
Answer:
Rotation, then translation
Step-by-step explanation:
At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.
Then, we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.
Hence, transformation(s) can map MNQ onto PQN are Rotation, then translation
What is the domain of F(x) = In(x)?
A. all real numbers except 0
B. all real numbers greater than 0
C. all real numbers
D. all real numbers less than
Answer: all real numbers expect ZERO
Step-by-step explanation:
If the population standard deviation is o=10, how large a sample is necessary to have a standard error that is less than 5 points?
Final answer:
To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.
Explanation:
To calculate the sample size required, we need to use the formula for standard error:
SE = σ/√n
In this case, we want the standard error to be less than 5 points, so we have the inequality:
5 > σ/√n
Multiplying both sides by √n, we get:
5√n > σ
Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:
5√n > 10
Dividing both sides by 5:
√n > 2
Squaring both sides of the inequality:
n > 4
So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5
Final answer:
To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.
Explanation:
The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.
To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).
To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.
Solving for n, we square both sides to obtain n > 4.
Thus, we need a sample size greater than 4.
However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.
Therefore, a sample size of at least 5 is needed.
Estimate the perimeter of the figure to the nearest whole number.
To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.
Explanation:To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.
To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.
The estimated perimeter of the pentagon is 19 units.
To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.
To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.
Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units
Therefore, the estimated perimeter of the pentagon is 19 units.
The dot plot below shows the number of books 26 students read in a month:
Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.
Is the median or the mean a better center for this data, and why?
Mean; because the data is skewed and there are outliers
Mean; because the data is symmetric and there are outliers
Median; because the data is skewed and there are outliers
Median; because the data is symmetric and there are outliers
A cylinder has a radius of 9 inches and a height of 7 inches. What is it he volume of this cylinder
Answer:
1808.64
Step-by-step explanation:
What would be the price per year for equation p(t)=1200(1.037)^t
Leave your answer in terms of pi. Find the circumference.
Answer:
[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]
PLEASE I NEED HELP WITH THIS!!!!
Answer:
oh yeah thats the 3rd one
Step-by-step explanation:
Can someone help me with this hint it’s not c but someone plz help me I don’t get it
Answer: 27
Step-by-step explanation:
An animal shelter spends $2.00 per day to care for each bird and $5.00 per day to care for each cat. Gabriel noticed that the shelter spent $44.00 caring for birds and cats on Friday. Gabriel found a record showing that there were a total of 13 birds and cats on Friday. How many birds were at the shelter on Friday?
Answer:
7 birds
Step-by-step explanation:
Let b = number of birds
c = number of cats
We know there were 13 birds and cats
b+c =13
It is $2 per bird and $5 per cat for a total of $44
2b+5c =44
Solve b+c =13 for c by subtracting b from each side
c = 13-b
Now we can substitute this into the second equation
2b+5c =44
2b + 5(13-b) =44
Now distribute
2b+65 -5b = 44
Combine like terms
-3b +65 =44
Subtract 65 from each side
-3b +65-65 =44-65
-3b = -21
Divide each side by -3
-3b/-3 = -21/-3
b=7
There were 7 birds
We could also find the number of cats
c =13-7
c =6
Answer:
7 birds
Step-by-step explanation:
No. of birds: x
No. of cats: y
2x + 5y = 44
x + y = 13
x = 13 - y
2(13 - y) + 5y = 44
26 - 2y + 5y = 44
3y = 18
y = 6
x = 13 - 6
x = 7
1. Evaluate x2 + 3x for x = 8
Step-by-step explanation:
Putting value of x
(8)2 + 3(8)
64 + 24
= 88
Answer:
The answer is 88
Step-by-step explanation:
since x=8
x^2= 64
3x=3×8
=24
x^2+3x= 64+24
=88
an equation for the line that has a slope of 1/2 and passes through the point (-2,5)
Answer:
[tex]y = 1/2x + 6[/tex]
Step-by-step explanation:
Step 1: Find the equation
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - (5)) = 1/2(x - (-2))[/tex]
[tex]y - 5 = 1/2(x + 2)[/tex]
[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]
[tex]y = 1/2x + 6[/tex]
Answer: [tex]y = 1/2x + 6[/tex]
Please help me I am horrible at calculations
Solve for x when y=-0.27
5y+8(x−3y)=7x−12
Answer:
X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)
Step-by-step explanation:
5 x .27 = 1.35
8x - (3 x .27) = .81
1.35 + 8x - .81 = 7x - 12
- 7x - 7x
----------------------------------
1.35 + X - .81 = -12
+ .81 +.81
---------------------------
1.35 + X = -11.19
-1.35 -1.35
-----------------------
X = -12.54
what is 14991.1 rounded to the nearest hundredth
Answer:
15000.0
Step-by-step explanation:
Answer:
Step 1: Round to the nearest hundredth
It is already rounded to the tenth so rounded to the hundredth would just add a 0.
14991.10
Answer: 14991.10
If you meant hundreds:
14991.10
Since the tens place is greater or equal to 5, you round up the hundreds place. This will make the thousands place go up by one.
14991.10
15000
5x - y - 4z = -16
x + 3y+ z= 5
2x+ 4y - 3z= 1
Answer:
Step-by-step explanation:
hello :
look this solution :
Please help! I will mark you as brainliest!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Sum the frequency column to find the total number of students
total = 2 + 9 + 5 + 5 + 3 = 24
number of students finished in less than 20 mins = 2 + 9 + 5 = 16
fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]
WILL GIVE BRAINLIEST!!!
x + 2y = 10
3x + 4y = 8
Which point is the solution to the system of equations?
A) (7, 1.5)
B) (11,-12)
C) (-11, -12)
D) (-12, 11)
Suppose there is a simple index of three stocks, stock ABC, stock XYZ, and
stock QRS. Stock ABC opens on day 1 with 4000 shares at $3.15 per share.
Stock XYZ opens on day 1 with 5000 shares at $4.30 per share. Stock QRS
opens on day 1 with 6000 shares at $4.60 per share. The price of stock ABC
on day 8 begins at $3.50. The price of stock XYZ on day 8 begins at $3.90.
Stock QRS opens on day 8 with a price of $4.50 per share. Assume that each
stock has the same number of shares that it opened with on day 1. What is
the rate of change of this simple index over 1 week?
O A. 1.9%
O B. 2.0%
O C. -1.9%
O D. -2.0%
Answer: C -1.9
Step-by-step explanation:
The rate of change of this simple index over 1 week given the change in the stock prices is -1.9%.
What is the rate of change?
The rate of change is the difference in the total value of the simple index.
Total value of the simple index at day 1 = (4000 x $3.15) + (5000 x $4.30) + (6000 x $4.60) = $61,700
Total value of the simple index at day 8 = (4000 x $3.50) + (5000 x $3.90) + (6000 x $4.50) = $60,500
Rate of change = (60,500 / 61700) - 1 = -1.9%
To learn more about percentages, please check: https://brainly.com/question/25764815
Does 10.5, 36, 50 form a right triangle
Answer:
No because if you are looking for a right triangle its sums have to equal to 90 degrees
Step-by-step explanation:
for example:side a; 30 inches
side B;30 in
c;30 that equals 90 so that is a right triangle
Answer:
No, it is not a right triangle.
Step-by-step explanation:
10.5, 36, and 50 do not form a right triangle. This can be tested using the Pythagorean theorem.
10.5^2=110.25
36^2= 1296
50^2=2500
If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.
What are these numbers rounded to the nearest hundreds plz. Help
Answer:
1. 425,300
2. 105,000
3. 45,500
4. 35,500
5. 212.37
Which is the correct answer for the question below
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
it is the only net that has 6 squares, and 6 squares make a cube.
The segments represent roads in a town, measured in miles. Theo drove from the post office to the grocery store. How many miles did he travel?
Answer:
16 miles
Step-by-step explanation:
The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office. 8(2) = 16
Answer: 16
Step-by-step explanation:
4(x-2)=3(x-3) what is the answer
The answer is -1
Step-by-step explanation:
A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.
1/12
1/2
1/6
Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:
[tex]P(Tails)=\frac{1}{2}[/tex]
Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:
[tex]P(3)=\frac{1}{6}[/tex]
Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
First we calculate the probability of the coin tossed being a tails.
The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2
For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6
Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:
P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12
Solve for x using the Master Product.
6x2 – 13x – 5 = 0
Final answer:
The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.
Explanation:
To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.
These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.
Kishuana rode her bike for 35 minutes each on Monday, Wednesday, and Saturday and 55 minutes each on Tuesday and Thursday. Write an expression that shows the total amount of time she spent riding her bike. Then evaluate the expression.
order of operations
Answer:
35a+55b=c
35x3=105
55x2=110
105+110=215
c=215
she rode her bike for 215 mins= 3 hours and 58 mins
Step-by-step explanation:
Lynn put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank, how many gallons did she start with?? Please I need an answer ASAP worth 25 points!!!!
Lynn starts with 14.3 gallons in her gas tank.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.
We have to determine the number of gallons did she start with
As per the given question, the required evaluation would be as:
Initial gallons = current gallons - put gallons
Initial gallons = 18 1/6 - 3 7/8
Convert the improper fractions into decimals,
Initial gallons = 18.167 - 3.875
Apply the subtraction operation, and we get
Initial gallons = 14.292 ≈ 14.3
Therefore, she starts with 14.3 gallons in her gas tank.
Learn more about Subtraction operations here:
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