please edit your question man
At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?
Answer:
Part 1)
5.5 inches.
Part 2)
[tex]y=-2.5t+18[/tex]
Step-by-step explanation:
We can write a linear equation to model the function.
Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.
A linear equation is in the form:
[tex]y=mt+b[/tex]
Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.
Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.
Substitute:
[tex]y=-2.5t+18[/tex]
This equation models how much snow Jamal will have on his lawn after t hours of snow melting.
So, after five hours, t = 5. Substitute and evaluate:
[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]
After five hours, there will still be 5.5 inches of snow.
How to solve and answer
Answer:
D. (-2, 0) and (3, 0).
Step-by-step explanation:
At the x -intercepts the function = 0, so
(2x + 4)(x - 3) = 0
2x + 4 = 0 and x - 3 = 0
x = -4/2 = -2 and x = 3.
So they are (-2, 0) and (3, 0).
x = 3 or x = -2
Step-by-step explanation:
f(x) = (2x + 4)(x - 3)
y = (2x + 4)(x - 3)
x - intercept occurs when y = 0
0 = (2x + 4)(x - 3)
0 = 2x² - 6x + 4x - 12
2x² - 2x - 12 = 0
(2x² - 2x - 12)/2 = 0/2
x² - x - 6 = 0
From the quadratic formula,
x = (-b +- √(b² - 4ac))/2a
x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )
x = (1 +- √(1 - ( -24)))/-2
x = (1 +- √25)/-2
x = (1 +- 5)/-2
x = 3 or x = -2
11 Roger has m toy cars. Don has twice as many cars as Roger. Larry has five more cars than Roger. Write down an expression, in terms of m, to complete each statement. Don has cars H Larry has cars
Step-by-step explanation:
Roger has m toy cars.→ Number of cars Roger has = m
Don has twice as many cars as Roger.→ Number of cars Don has = 2(Cars Roger has)
→ Number of cars Don has = 2m
Larry has five more cars than Roger.→ Number of cars Larry has = 5 + (Cars Roger has)
→ Number of cars Larry has = 5 + m
Select the correct answer.
What is the solution to this equation?
g^x-1=2
A. -1/2
B. 1/2
C. 2
D. 1
9514 1404 393
Answer:
B. 1/2
Step-by-step explanation:
Maybe you want the solution to ...
[tex]9^x-1=2[/tex]
You can use logarithms, or your knowledge of powers of 3 to solve this.
[tex]9^x=3\qquad\text{add 1}\\\\3^{2x}=3^1\qquad\text{express as powers of 3}\\\\2x=1\qquad\text{equate exponents of the same base}\\\\\boxed{x=\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]
Using logarithms, the solution looks like ...
[tex]x\cdot\log{9}=\log{3}\\\\x=\dfrac{\log{3}}{\log{9}}=\dfrac{1}{2}[/tex]
A person invests $3,500 in an account that earns 7.5% interest compounded continuously. What is the value of the investment after 4 years?
I think it's: 4,674.14$
Answer:
A = $4724.36
Step-by-step explanation:
P = $3500
r = 7.5% = 0.075
t = 4years
n = 365
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]
[tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]
Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y. 1) Viết các phán đoán sau đây dưới dạng công thức: a) Nhiều người yêu thương A. (Thay A bằng chính tên của em). b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
Trường công nghiệp hả:’)
the equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?
Answer:
The radius is 10
Step-by-step explanation:
Given
[tex]x^2 + y^2 + 21 = 40 + 18y.[/tex]
Required
The radius
Rewrite as:
[tex]x^2 + y^2 - 18y = 40-21[/tex]
Subtract 81 from both sides
[tex]x^2 + y^2 - 18y +81= 40-21+81[/tex]
Expand
[tex]x^2 + y^2 - 9y - 9y +81= 40-21+81[/tex]
Factorize
[tex]x^2 + y( y- 9) - 9(y -9)= 40-21+81[/tex]
Factor out y - 9
[tex]x^2 + (y- 9) (y -9)= 40-21+81[/tex]
Express as squares
[tex]x^2 + (y- 9)^2= 100[/tex]
[tex]x^2 + (y- 9)= 10^2[/tex]
The equation of a circle is:
[tex](x - a)^2 + (y- b)= r^2[/tex]
By comparison:
[tex]r^2=10^2[/tex]
[tex]r = 10[/tex]
Tasha needs 75 liters of a 40% solution of alcohol. She has a 20% and a 50% solution available. How many liters of the 20% and how many liters of the 50% solutions should she mix to make the 40% solution?
Answer:
25 liters of 20%
50 liters of 50%
Step-by-step explanation:
x = liters of 50%
75 - x = liters of 20%
50x + 20(75 - x) = 40(75)
50x + 1500 - 20x = 3000
30x = 1500
x = 50
75 - x = 25
Trig Equation from a Graph
Answer:
Step-by-step explanation:
write cos2x as sinx
please help with this
Answer:
[tex]\cos(2\, x) = 1 - 2\, (\sin(x))^2[/tex].
Step-by-step explanation:
Angle sum identity for cosine: [tex]\cos(a + b) = \cos(a) \, \cos(b) - \sin(a) \, \sin(b)[/tex].
Pythagorean identity: [tex](\cos(a))^{2} + (\sin(a))^{2} = 1[/tex] for all real [tex]a[/tex].
Subtract [tex](\cos(x))^{2}[/tex] from both sides of the Pythagorean identity to obtain: [tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex].
Apply angle sum identity to rewrite [tex]\cos(2\, x)[/tex].
[tex]\begin{aligned}&\cos(2\, x)\\ &= \cos(x + x) \\ &= \cos(x) \, \cos(x) - \sin(x)\, \sin(x) \\ &= (\cos(x))^{2} + (\sin(x))^{2}\end{aligned}[/tex].
[tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex] follows from the Pythagorean identity. Hence, it would be possible to replace the [tex](\cos(x))^{2}[/tex] in the previous expression with [tex](1 - (\sin(x))^{2})[/tex].
[tex]\begin{aligned}&(\cos(x))^{2} - (\sin(x))^{2}\\ &= \left[1 - (\sin(x))^{2}\right] - (\sin(x))^{2} \\ &= 1 - 2\, (\sin(x))^{2} \end{aligned}[/tex].
Conclusion:
[tex]\begin{aligned}&\cos(2\, x) \\ &= (\cos(x))^{2} + (\sin(x))^{2} \\ &=1 - 2\, (\sin(x))^{2}\end{aligned}[/tex]
Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
Answer:
Location of W is - 23, location of X is - 9.
Step-by-step explanation:
location of V = - 16
Points W and X are each 7 units away from Point V.
Let the W is at left of V and X is right of V.
location of W = -16 - 7 = - 23
location of X = - 16 + 7 = - 9
solution - 12. The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number. Check your solution.
Answer:
62
Step-by-step explanation:
t=digit in the tens place
u=digit in the units place
t=3*u
original number=t*10+u
number with reversed digits=u*10+t
u*10+t=t*10+u-36
u*10+(3*u)=(3*u)*10+u-36
10u+3u-30u-u=-36
-18u=-36
u=2
t=3*u=6
Original number = 62
Check the solution:
6=3*2 ok
26=62-36 ok
In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.
A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.
What percentage of the chilis did not include two types of beans?
Enter the correct answer in the box.
Answer:
55%
Step-by-step explanation:
18 out of 40 include chili.
So 22 has no chili
22/40 = 0.55 or 55%
the volume of a cylinder is 44cm3. find the volume of another cylinder of the same height and double the base radius
Answer:
[tex]Volume \ of \ other\ cylinder = 176 \ cm^3[/tex]
Step-by-step explanation:
Let the volume of cylinder Vₐ = 44cm³
Let radius of cylinder " a " be = rₐ
Let height of cylinder " b" be = hₐ
[tex]Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a[/tex]
Given cylinder " b ", Radius is twice cylinder " a " , that is [tex]r_b = 2 r_a[/tex]
Also Height of cylinder " b " is same as cylinder " a " , that is [tex]h_b = h_a[/tex]
[tex]Volume_b = \pi r_b^2 h_b[/tex]
[tex]= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3[/tex]
A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. A preliminary sample showed that 30.0% of the families in this sample own this company's product. The sample size that would limit the margin of error to be within 0.047 of the population proportion is:
Answer:
The sample size is of 366.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary sample showed that 30.0% of the families in this sample own this company's product.
This means that [tex]\pi = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The sample size that would limit the margin of error to be within 0.047 of the population proportion is:
This is n for which [tex]M = 0.047[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.047 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.047\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.047}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.047})^2[/tex]
[tex]n = 365.2[/tex]
Rounding up:
The sample size is of 366.
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2. Find the probability that a randomly selected value is between 66.4 and 241.6. P(66.4 < X < 241.6)
Answer:
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2.
This means that [tex]\mu = 232.4, \sigma = 92.2[/tex]
Find the probability that a randomly selected value is between 66.4 and 241.6.
This is the p-value of Z when X = 241.6 subtracted by the p-value of Z when X = 66.4.
X = 241.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{241.6 - 232.4}{92.2}[/tex]
[tex]Z = 0.1[/tex]
[tex]Z = 0.1[/tex] has a p-value of 0.5398
X = 66.4
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66.4 - 232.4}{92.2}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
0.5398 - 0.0359 = 0.5039
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of Pi
Answer:
20
Step-by-step explanation:
your mom
A fair coin is tossed 5000 times. What can you say about getting the outcome of exactly 2500 tails
Step-by-step explanation:
You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.
Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.
Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely
The probability of flipping a coin
coming up heads and tails is 1/2.
________⚛⚛⚛⚛⚛_________So, toss 5000 times 5000/2= 2500
heads: 2500
tails : 2500
2097152 in exponential form
Answer:
do you mean scientific notation ?
2.097152 x [tex]10^{6}[/tex]
Step-by-step explanation:
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.
Answer:
16.9177% or .169177
Step-by-step explanation:
Binomial i think
10C4*.54⁴*(1-.54)⁶= 16.9177%
The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177% or .169177
What are the combinations?Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.
The information provided will be:
54% recognition rate in the town of Coffleton
He selects a random sample of 10 Coffleton residents
the probability that exactly 4 of the 10
will be found out with the help of the combination
[tex]^nC_r = n! / r! \times (n - r)![/tex]
[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]
= 16.9177%
The probability will be 16.9177%.
Learn more about combinations, here:
https://brainly.com/question/20211959
#SPJ2
Solve the equation.
(X-5)(x + 7) = 0
X=
-D
(Use a comma 6 separate answers as needed.)
9514 1404 393
Answer:
x = -7, 5
Step-by-step explanation:
The equation is written as a product equal to zero. The "zero product rule" tells us that a product is zero if and only if one or more factors are zero. Each factor will be zero when x takes on a value equal to the opposite of the constant in that factor.
x -5 = 0 ⇒ x = 5
x +7 = 0 ⇒ x = -7
The solutions to the equation are x = -7, 5.
A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included are nurses with an associate's degree, nurses with a baccalaureate degree, nurses with a master's degree, and nurses with a doctoral degree. In this example, cultural competency is measured at what level?
a. Dependent variable
b. Independent variable
c. Outcome
d. Significant variable
Answer:
b. Independent variable
Step-by-step explanation:
Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.
Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared.
The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.
From the given information:
Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.
The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pairs of positive real numbers, formulate a conjecture about their relative sizes and prove your conjecture.
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
Formulate a conjecture about their relative sizes
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
A plane travels a distance of 22,000 km in a time of 3.6 hours.
What is its average speed rounded to the nearest whole number?
in km/h
Answer:
6111 km/hr
Step-by-step explanation:
Given
Distance travels by plane d=22,000 km
time taken t=3.6 hours
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
The set (AB) (B-C) is equal to
Answer:
AB^2- AC.
Step-by-step explanation:
I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.
Therefore, expanding the bracket gives us:
(AB) (B-C)=
AB^2- AC.
This is the answer, if the only task needed is to expand the brackets.
4n-6 in as a undistributed expression
Answer:
2( 2n-3)
Step-by-step explanation:
4n-6
2*2 n - 2*3
Factor out the greatest common factor
2( 2n-3)
COMPUTE THE PROBABILITY. If, in a typical work day, a staff member receives 34 emails, what is the probabilitythat in a 5-day work week she will receive less than 175 emails?
How do I do this question?
Answer:
3rd OptionStep-by-step explanation:
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]
[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]
[tex] = 9 \sqrt{2} (ans)[/tex]
HELP MEEEEEEEEEEEEEEEEEEEEEWEW
a binomial distribution
has 30% rate of SUCCESS.
there are 6 triats. what
is probability that there
will be exactly 2 Successes
Answer:
0.324
Step-by-step explanation:
Given that :
Success rate = 30%
p = 30% = 0.3
q = 1 - p = 1 - 0.3 = 0.7
Number of trials, n = 6
Probability of having exactly 2 successes ; x = 2
P(x = 2)
Usibgbtge binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 6C2 * 0.3^2 * 0.7^4
P(x = 2) = 15 * 0.3^2 * 0.7^4
P(x = 2). = 0.324135
P(x = 2) = 0.324
