Four expressions are written in the table.
What value of n makes all of the expressions equivalent?
0
1
10
100
Xavier shoots a basketball in which the height, in feet, is modeled by the equation,h(t) = -4t2 + 10 + 18, where t is time, in
seconds. What is the maximum height of the basketball?
Answer:
The maximum height of the basketball is of 24.25 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Height of the basketball:
Given by the following function:
[tex]h(t) = -4t^2 + 10t + 18[/tex]
Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]
What is the maximum height of the basketball?
y(in this case h) of the vertex. So
[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]
[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]
The maximum height of the basketball is of 24.25 feet.
Find the distance between a point (–7, –19) and a horizontal line at y = 3.
Which graph shows a polynomial function of an even degree?
What is the sum of the interior angle measures of a polygon that has 11 sides?
HINT: Sum= (n-2)180
Answer:
Step-by-step explanation:
no of sides (n)=11
sum=(n-2)180
=(11-2)180
=9*180
=1620
therefore sum of the interior angles of a polygon having 11 sides id 1620°.
Answer:
n= 1620
Step-by-step explanation:
I know the answer is correct I got the exact same question during the lessons.
WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Learn more about exponential equations here: brainly.com/question/2883200
#SPJ2
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Which of the following is not a property of zero?
Answer:
D is not correct
Step-by-step explanation:
"If you add zero to a number, the answer will be that same number" is incorrect
Answer: Option
2 (or B)
Step-by-step explanation:
You can't divide by 0.
Sand is being dumped from a conveyor belt and forms a conical pile. Assuming that the height of this cone is always exactly 3 times the size of the radius of its base, and that thesand is added at the rate of 10 m^3/min, how fast is the height increasing when the pile is15 m high?
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
Determine the value of x.
The answer to this question is B) 44.78
Answer:
Step-by-step explanation:
x = 44.78
In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?
Answer: it’s a triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value
Answer:
0.9836
Step-by-step explanation:
if x=√10 - 2 √2 find x^2 + 1/x^2
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
Answer:
total of the data points = 1200
Step-by-step explanation:
The 'average' of a data set is the total of the data points divided by the number of data points.
Here:
total of the data points
---------------------------------- = 48
25
Multiplying both sides of this equation by 25 yields:
total of the data points = 1200
Find the value of X and Y
Answer:
y=60 degrees ; x=120 degrees.
Step-by-step explanation:
All triangles' angles must add up to 180 degrees. An equilateral triangle has 3 equal sides and degrees. If it gives the angle of one all the other angles are the same. For x you see the parallel line below it with the line to the left going through with the same angle as the one below. The angles are the same and if it is labeled in one then it is the same in the other.
Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. To build a bridge model that is 512 feet in
length, how long will the toothpicks need to be? Round to the nearest whole unit.
6 inches
7 inches
8 inches
None of these choices are correct.
Back
Next
All Previous
Answer:
6 inches
Step-by-step explanation:
460 ÷ 6 = 76.666666.
512 ÷ 76.666666 = 6.672
6.672 rounded to a whole number is 6.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message.
-kiniwih426
Hi, I need help creating a graph for this math question. Here goes -
It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with and has increased its balance by an average of per week. The Math Club has saved per week after starting out with at the beginning of the semester.
Answer: Science Club y = 10x + 20 and Math Club y = 5x + 50.
Question: Graph both lines on one set of axes. When do the clubs have the same balance?
Answer:
(6,80)
Step-by-step explanation:
To check
Substitute (6,80) for x & y value
Y = 10x + 20
80 = 10(6) + 20
80 = 60 + 20
80 = 80
Y = 5x + 50
80 = 5(6) + 50
80 = 30 + 50
80 = 80
Answer:
(6.80) is the correct answer
The weight of a product is normally distributed with a mean of 4 ounces and a variance of .25 squared ounces. What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces
Answer: 0.0228
Step-by-step explanation:
Let x be the weight of a product.
The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:
[tex]P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ [\text{Using p value table}]\\\\=0.0228[/tex]
Hence, the required probability = 0.0228
whats the value of 13C11
Answer:
78
Step-by-step explanation:
[tex]nC_k = \frac{n!}{k!(n-k)!}[/tex]
[tex]13 C_{11} = \frac{13!}{11! \times (13-11)!}[/tex]
[tex]= \frac{13!}{11! \times 2!}[/tex]
[tex]= \frac{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 \times 12 \times 13}{(1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 )\times ( 1 \times 2)}[/tex]
[tex]=\frac{12 \times 13}{2} \\\\= 6 \times 13\\\\=78[/tex]
The data given to the right includes data from 30 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%
what is the standard form of 365.05
9514 1404 393
Answer:
it depends. 365.05 or 3.6505×10²
Step-by-step explanation:
In the US, 365.05 is already in standard form.
In the UK, "standard form" is the same as "scientific notation", so the number would be ...
3.6505×10²
The Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, b0 =
Slope, b1 =
MSE =
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?
Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number.
years.
Answer:
1.) A negative linear pattern
2.) Y = - 0.298X1 + 22.241
3.) slope = - 0.298 ; intercept = 22.241
Kindly check explanation
Step-by-step explanation:
Fitting the time series data using technology, the regression equation obtained is :
Y = - 0.298X+ 22.241
Where ; y = percentage of adults who smoke
x = year
Comparing with the linear equation model :
y = b1x + b0
y = - 0.298x + 22.41
-0.298 = slope
22.41 = intercept
The mean squared error, MSE = 0.512
To achieve, percentage users of 12% or less :
y = 12
Y = - 0.298X+ 22.241
12 = - 0.298X + 22.241
12 - 22.241 = - 0.298X1
-10.241 = - 0.298X
X = 10.241 / 0.298
X = 34.365
X = 35 years
From the model OSHA is not on target to meet it's goal as it will take 35 - 11 = 24 years from the last year of the data to achieve a smoker percentage less Than 12%
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of ten adult friends, what is the probability of the following? (Round your answers to three decimal places.)
a. no one has done a one time fling
b. at least one person has done a one time fling
c. no more than two people have done a one time fling
Answer:
a. 0.349
b. 0.651
c. 0.93
Step-by-step explanation:
According to the Question,
Given, About 10% of all adults deliberately do a one-time fling and In a group of ten adult friends.Thus, p=0.10 , n=10 & [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right] = \frac{n!}{x!(n-x)!}[/tex]
Now, Use Binomial distribution = [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right]*(p)^{x} *{(1-p)}^{n-x}[/tex]
a. p(x=0) ⇒ [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] = 0.349
Thus, The Probability that No one has done a one-time fling = 0.349
b. p(x≥1) = 1 - p(x=0) ⇒ 1 - 0.349 = 0.651
Thus, The Probability that at least one person has done a one-time fling = 0.651
c. p(x≤2) = p(x=0) + p(x=1) + p(x=2)
p(x≤2) = [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] + [tex]\left[\begin{array}{ccc}10\\1\\\end{array}\right]*(0.1)^{1} *{(0.9)}^{9}[/tex] + [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right]*(0.1)^{2} *{(0.9)}^{8}[/tex]
on Solving, we get
p(x≤2) = 0.349 + 0.347 + 0.194
p(x≤2) = 0.93
Thus, The Probability that No More Than two person have done a one-time fling = 0.93
Based on the information below, which statement provides a logical
conclusion?
On Monday, Suzanne got up at 6:00 a.m. and was on time for first period.
On Wednesday, Suzanne got up at 6:15 a.m. and was late to first period.
Answer:
It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be
2x + 3y = 7 and x + y = 3? *
Answer:
1) 7/2 - 3/2y,
2) 3-y, y
Step-by-step explanation:
See Image below for steps:)
Madelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 518 glasses. There are currently 314 glasses. If each set on sale contains 8 glasses, which inequality can be used to determine s, the minimum number of sets of glasses Madelyn should buy? Submit Answer 518 < 8(314 + 8) O 518 > 8(314+ s) O 314 +8s < 518 314 +8s > 518
Answer:
(D)
314 + 8s >= 518
Step-by-step explanation:
Answer: 314 + 8s ≥ 518
Hao has a container in the shape of a right rectangular prism with dimensions 3 feet by 5 feet by 8 feet. What is the
volume, in cubic feet, of the container?
Answer:
120 [tex]{ft}^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the lengths of all of the sides
3 x 5 x 8 = Ans --> 3 x 40 = Ans -->120 = Ans
Therefore, the volume of the rectangular prism is 120 [tex]{ft}^{3}[/tex]
please answer !!! quickly thank you!
Answer:
B) this line has zero slope.
Step-by-step explanation:
it doesn't increase or decrease. it is a constant; zero
Answer:
This line has zero slope.
Step-by-step explanation:
The slope of the line doesn't change it just stays straight.
Please help, I’m so lost in math
Answer:
[tex]r = 15 \times 5 \\ r = 75[/tex]
Answer:
75
Step-by-step explanation:
5 = r/15
what we want to do is solve for r
to do this we want to isolate the variable (r) using inverse operations
5 = r / 15
so to solve for r we want to get rid of the 15
r is being divided by 15
the inverse of division is multiplication
so to get rid of the 15 we multiply by 15
but remember whatever we do to one side we must do to the other side, so we multiply each side by 15
15 * 5 = 75
r / 15 * 15 = r
we're left with r = 75
we can then check are work by substituting 75 for r and then see if the equation is true
5 = r/15
* substitute 75 for r *
5 = 75/15
75 / 15 = 5
we're left with 5 = 5 which is true
I need help it please
Answer:
5 minutes of practice it shows at the bottom
H Н
Which two statements are both true?
Di Ta and KFT
EH I TĞ and KT | TG
Di I K and Di 1 ET
ET I TĞ and KF | DI
