Answer:
x<4 (assuming you're supposed to find x)
Step-by-step explanation:
8+x>3x
8>2x
4>x
Vince has 10 boxes into his truck
Answer:
Here, x represents the number of 20-pound boxes and y represents the number of 30 pound boxes.
Step-by-step explanation:
I think is the same question for this answer
Find the sum of the first 25 terms of the arithmetic sequnce 17,22,27,32.37
Answer:
Step-by-step explanation:
This sequence is adding 5 so
17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 = 1925
Answer: The sum of the first 25 terms of this arithmetic sequence is 1925.
Explanation: This sequence, beginning at 17, increases by 5 per term. By simply adding 5 to the preceding term in the sequence, you can find the next term. The first term is 17, and the last term is 137. This means the list of terms is 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, and 137. The sum of these terms is 1925.
A square picture frame encloses a picture with area 65in2. Use the formula s=A‾‾√ to find the length of one side of the picture. Round your answer to the nearest tenth of a inch.
Marco has a collection of 437 bottles. Each month he buys 32 bottles .
Answer:
what is the question
Step-by-step explanation:
2x + 5 = 2x - 3 please help
Answer:
X=0
Step-by-step explanation:
most likely it's zero i also double checked it too so I think,you should be good.
*Which
.............
Answer:
If the first one is a, next is b, ect., then answer is C
Step-by-step explanation:
Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.
Evaluate the expression.
(-4)2
Answer:
-8
Step-by-step explanation:
4x2=8
change to negative since a negative times a positive is a negative
-8
Answer: -8
Step-by-step explanation: -4* 2= -8
Isaac's hair was 12 centimeters long after his last haircut, and it grows 8 centimeters every year. Isaac last got his hair cut 8 years ago. How long is it now? Write and solve an equation to find the answer.
Answer:
76
Step-by-step explanation:
1.) 8 x 8 =64
2.) 12 + 64 =76
Answer: it is 76 cm long and the equation is 8x8+12= length of hair after 8 years.
Step-by-step explanation:
The hair grows 8 cm a year and it has been 8 years so we get 8x8. Then the last time he cut his hair it was 12 inches so we have to add that and yeah...
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows.
Current Year Previous Year
Occupied Rooms 1,470 1,458
Total Rooms 1,750 1,800
Required:
a. Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period.
b. What is the estimated proportion of hotel rooms occupied each year?
c. Calculate the test statistic.
d. What is the p-value?
Answer:
Explained below.
Step-by-step explanation:
In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.
(a)
The hypothesis can be defined as follows:
H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.
Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.
(b)
The information provided is:
n₁ = 1750
n₂ = 1800
X₁ = 1470
X₂ = 1458
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825[/tex]
(c)
Compute the test statistic value as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352[/tex]
The test statistic value is 2.352.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>2.352)=1-P(Z<2.352)=1-0.99061=0.00939[/tex]
The p-value of the test is very small. The null hypothesis will be rejected at any significance level.
Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.
Plz help me with this
Answer:
63°
Step-by-step explanation:
Hi there !
ABCD parallelogram => ∡A = ∡C
13x - 41 = 6x + 15
13x - 6x = 15 + 41
7x = 56
x = 56 : 7
x = 8
∡C = 6×8 + 15 = 48 + 15 = 63°
Good luck !
What is the approximate distance between the points (-6, 8) and (4, 13)?
A.3.87
B.125
C.21.10
D. 11.18
do u have a diagram for this?
a car has a 45% mark up. the wholesale cost is 9,000. what is the selling price
Answer:
I would think that would be $200
Solve the following word problem. A man travels from town X to town Y at an average rate of 60 mph and returns at an average speed of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from town X to Y?
___ miles
Answer:
d = 1650 milesStep-by-step explanation:
Let the distance be d
Then the time in travel is
d/60 one way, d/50 on returnThe round trip would take 1/2 hours longer if the average speed was 55 mph
d/60 + d/50 = 2d/55 + 1/2d/60 + d/50 - 2d/55 = 1/2LCM(60,50,55) = 11*12*5*5 = 3300
55d/3300 + 66d/3300 - 120d/3300 = 1/2d/3300= 1/2d = 1650 milesAnswer:
d= 1650 miles
Step-by-step explanation:
Lisa and two friends shop at a bookstore. They each choose a book and share the cost equally among the 3 of them.
The total cost of the books is $27.00.
A. Create an equation that models the situation, using c to represent how much, in dollars, each person pays.
B. How much does each person pay?
Answer:
A: 27 divided by 3 B. $9.00
Step-by-step explanation:
what i the scientific notation of 13400000
correct answer only
Answer:
1.34 x 10^7
Step-by-step explanation:
I hope this helped!
Select 3 ratios that are equivalent to 4 : 3
Answer:
3 ratios that are equivelent to 4 : 3
8 : 6
20 : 15
and 12 : 9
Step-by-step explanation:
What is the probability of a sample mean being greater than a z-value of -0.79?
Select one:
a. 0.7852
b. 0.4500
c. 0.2148
d. 0.2852
Step-by-step explanation:
d uahsizagxuxbsixvaixbx akbxoa soxnaox aoxk. is. os xia xida
The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).When point D is placed on this square, what will the perimeter of the square be?Enter your answer in the box.
The perimeter of a shape is the total measurement of all the edges of a shape.
Perimeter of the square is 460 unit.
Since, coordinates of three vertices of square ABCD are given as A(−212,112), B(−212,−3) and C(2,112).
If coordinate of M(a, b) and N(c, d) are given.
Then by using distance formula,
[tex]MN=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex]
Similarly, [tex]AB=\sqrt{(-3-112)^{2}+(-212+212)^{2} } \\\\AB=115[/tex]
In square, all four sides are equal.
Perimeter of Square, [tex]=4*side[/tex]
[tex]=4*115=460[/tex] unit.
Learn more:
https://brainly.com/question/13511952
If f(x) = -3x - 5 and g(x) = 4x-2, find (f -g)(x).
Answer:
(f - g)(x) = -7x - 3
Step-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
Step 2: Find (f - g)(x)
(f - g)(x) = -3x - 5 - (4x - 2)
(f - g)(x) = -3x - 5 - 4x + 2
(f - g)(x) = -7x - 3
2w − w = 15
explain if possible, please
Answer:
2w - w = 15You subtract w from 2w and u remain with w.w = 15Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
[ 1 -2 -5 0 4 3 -3 3 0]
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
A. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set.
B. The matrix is not invertible. the given matrix is A, the equation Ax b has no solution for at least one b in R.
C. The matrix is invertible. The given matrix is not row equivalent to the nx n identity matrix.
D. The matrix is invertible. The given matrix has 3 pivot positions.
Answer:
This shows 3 pivot position matrixes.
Step-by-step explanation:
The given matrix is:
[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right][/tex]
The option D is correct for this matrix.
The matrix is invertible and the given matrix has 3 pivot positions.
The matrix is invertible if its determinant is nonzero.
Multiply the 3rd row by 1/3.we get:
[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]
Now, add the first row with third row:
[tex]\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]
Replace third row by first row:
[tex]\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right][/tex]
This shows 3 pivot position matrixes.
Hence, a matrix is invertible and has 3 pivot positions.
Right triangle A has a base of 2 inches and a height of 7 inches. Right triangle B has a base of 10 inches and a height of 35 inches. Enter the scale factor applied to Right triangle A to produce Right triangle B.
Given:
Right triangle A: Base = 2 inches and Height = 7 inches.
Right triangle B: Base = 10 inches and Height = 35 inches.
To find:
The scale factor applied to Right triangle A to produce Right triangle B.
Solution:
We have,
Base of right triangle A = 2 inches
Base of right triangle B = 10 inches
Now,
[tex]\text{Scale factor}=\dfrac{\text{Side of right triangle B}}{\text{Corresponding side of right triangle A }}[/tex]
[tex]Scale\text{Scale factor}=\dfrac{\text{Base of right triangle B}}{\text{Base of right triangle A }}[/tex]
[tex]\text{Scale factor}=\dfrac{10}{2}[/tex]
[tex]\text{Scale factor}=5[/tex]
Therefore, the scale factor of 5 applied to Right triangle A to produce Right triangle B.
what is the quotient of4/6and2/9
Answer:
3
Step-by-step explanation:
Trust meh
F(x)=-(2x-1)^2-2. What is the value of f(-3)
Work Shown:
f(x) = -(2x-1)^2 - 2
f(-3) = -(2*(-3)-1)^2 - 2 ... replace every x with -3
f(-3) = -(-6-1)^2 - 2
f(-3) = -(-7)^2 - 2
f(-3) = -49 - 2
f(-3) = -51
1.5 = m ÷ 9
I am in sixth grade please help me with this
Answer:
13.5 or if in fraction 27÷2
Step-by-step explanation:
1.5 = m ÷ 9
1.5 × 9 = m (since you're finding m,shift the 9 to the left.So divide becomes multiply)
27/2 (27÷2) or 13.5 = m
In 1 year, how many more hours of sleep
does a giant armadillo get than a platypus?
Answer:
Step-by-step explanation:
If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.
Answer:
1508 hour I think !!!!!!!!!!
PLEASE HELP AS SOON AS YOU CAN
Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Answer:
I not understand your questions
-26 times a number minus 22 is equal to 90 less than the number.
Answer:
[tex]x = \frac{68}{27}[/tex]
Step-by-step explanation:
Let x be the number
Write it out: -26x - 22 = x - 90Combine like terms: -27x + 68 = 0Subtract 68 from each side, so it now looks like this: -27x = -68Divide each side by -27 to cancel out the -27 next to x. It should now look like this: [tex]x = \frac{68}{27}[/tex]I hope this helps!
(3х + 4)°
(8х +11)°
Answer:
11x+15
Step-by-step explanation:
The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli in 1760 on smallpox. In more recent years many mathematical models have been proposed and studied for many different diseases. The following problem deals with a few of the simpler models and the conclusions that can be drawn from them. Similar models have also been used to describe the spread of rumors and of consumer products. Some diseases (such as typhoid fever) are spread largely by carriers, individuals who can transmit the disease but who exhibit no overt symptoms. Let x and y denote the proportions of susceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removed from the population at a rate β, so dy/dt = −βy.
(i) Suppose also that the disease spreads at a rate proportional to the product of x and y; thus dx/dt = −αxy.
(ii)
(a) Determine y at any time t by solving Eq. (i) subject to the initial condition y(0) = y0.
y(t) =
(b) Use the result of part (a) to find x at any time t by solving Eq. (ii) subject to the initial condition x(0) = x0.
x(t) =
(c) Find the proportion of the population that escapes the epidemic by finding the limiting value of x as t → [infinity].
Answer:
a
[tex]y(t) = y_o e^{\beta t}[/tex]
b
[tex]x(t) = x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]
c
[tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]
Step-by-step explanation:
From the question we are told that
[tex]\frac{dy}{y} = -\beta dt[/tex]
Now integrating both sides
[tex]ln y = \beta t + c[/tex]
Now taking the exponent of both sides
[tex]y(t) = e^{\beta t + c}[/tex]
=> [tex]y(t) = e^{\beta t} e^c[/tex]
Let [tex]e^c = C[/tex]
So
[tex]y(t) = C e^{\beta t}[/tex]
Now from the question we are told that
[tex]y(0) = y_o[/tex]
Hence
[tex]y(0) = y_o = Ce^{\beta * 0}[/tex]
=> [tex]y_o = C[/tex]
So
[tex]y(t) = y_o e^{\beta t}[/tex]
From the question we are told that
[tex]\frac{dx}{dt} = -\alpha xy[/tex]
substituting for y
[tex]\frac{dx}{dt} = - \alpha x(y_o e^{-\beta t })[/tex]
=> [tex]\frac{dx}{x} = -\alpha y_oe^{-\beta t} dt[/tex]
Now integrating both sides
[tex]lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c[/tex]
Now taking the exponent of both sides
[tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}[/tex]
=> [tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c[/tex]
Let [tex]e^c = A[/tex]
=> [tex]x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]
Now from the question we are told that
[tex]x(0) = x_o[/tex]
So
[tex]x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }[/tex]
=> [tex]x_o = K e^{\frac {\alpha y_o }{\beta } }[/tex]
divide both side by [tex] (K * x_o)[/tex]
=> [tex]K = x_o e^{\frac {\alpha y_o }{\beta } }[/tex]
So
[tex]x(t) =x_o e^{\frac {-\alpha y_o }{\beta } } * e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]
=> [tex]x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }[/tex]
=> [tex]x(t) = x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]
Generally as t tends to infinity , [tex]e^{- \beta t}[/tex] tends to zero
so
[tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]