Answers
Hello, please consider the following.
x is obviously different from 0 and then, dividing by x is legit.
For the first 105 miles the speed is x, so the time spent is
[tex]\dfrac{105}{x}[/tex]
For the second part, the speed is 1.4 x, so the time spent is
[tex]\dfrac{105}{1.4x}=\dfrac{75}{x}[/tex]
In total, the time she spent driving is
[tex]\dfrac{105}{x}+\dfrac{75}{x}\large \boxed{=\dfrac{180}{x}}[/tex]
Thank you.
Related Questions
(5 points) The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?
Answers
Answer:
0.62
Step-by-step explanation:
Probability of rain = 34% = 0.34
Probability of wind = 38% = 0.38
Probability of wind and rain = 10% = 0.1
P(wind U rain) = p(wind) + p(rain) - p(both)
= 0.34 + 0.38 -1
= 0.62
The probability that it would be rainy or sunny in any given day in April is 62%
The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) Write the formula of the function, where x is entered in radians.
Answers
Answer:
f(x)=-8sin(pi/6x)+2
Step-by-step explanation:
The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) So, the function is f(x) = -8sin(pi/6x)+2.
What is the sinusoidal function?The sinusoidal function has the following form:
[tex]y = x_0 + A\: sin(w.x+\theta)[/tex]
Where:
A= Amplitude
w = Angular frequency
[tex]x_0[/tex] = Independent component of the midpoint value
[tex]\theta[/tex] = Phase angle
Amplitude is the absolute value of the difference between a dependent component of the midline and the absolute minimum
A = |-6 - 2|
A = 8
[tex]x_0[/tex] = 2
The angular frequency of the function is now determined by substituting all remaining variables and clearing it within the sinusoidal function
[tex]w.x + \theta = \pi / 6[/tex]
The sinusoidal function
f(x) = -8sin(pi/6x)+2
Learn more about a sinusoidal function:
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Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
Answers
Planes A and B intersect.
Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W.
Which describes the intersection of line m and line n?
point W
point X
point Y
point Z
Answers
Answer:
Point W
Step-by-step explanation:
Just trusssss me
The intersection of line m and line n is described by point W.
What is Intersecting lines?Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines.
When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.
As, given that
Line m intersects line n at point W.
So, where the line meets should be a intersecting point.
Hence, W is the intersecting point.
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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Answers
Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
Solve for z.
5
y = ZW - ZC
Answers
Step-by-step explanation:
5y = ZW - ZC
5y = Z(W - C)
5y / W- C = Z(W -C) / W - C
Z = 5y / W - C
simplify the expression i^37
Answers
im pretty sure that it is
i
Answer:
i
Step-by-step explanation:
[tex] \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i[/tex]
How we supposed to find the answer?
Answers
Answer:
5^6
Step-by-step explanation:
(5^3)^2
We know that a^b^c = a^(b*c)
5^(3*2)
5^6
Answer:
5⁶
Step-by-step explanation:
[tex]x^{a^{b} } =[/tex] xᵃᵇ
on this case:
[tex]5^{3^{2} }[/tex] = 5⁽³⁾⁽²⁾ = 5⁶
If f(x) = -x³ + x² + x, find f(-3).
Answers
Answer:
33
Step-by-step explanation:
Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.
Substitute the given value into the function and evaluate.
Answer:
33.
Step-by-step explanation:
f(x) = -x³ + x² + x.
f(-3) = -(-3)³ + (-3)² + (-3)
= -(-27) + (9) - 3
= 27 + 9 - 3
= 36 - 3
= 33.
Hope this helps!
30 gram of salt is present in 600 gram of solution what is the concentration of the solution
Answers
Answer:
The value is [tex]\% c = 5\%[/tex]
Step-by-step explanation:
From the question we are told that
The mass of salt is [tex]m_s = 30 \ g[/tex]
The mass of the solution is [tex]m_S = 600 \ s[/tex]
Generally the concentration is mathematically represented as
[tex]\% c = \frac{30}{600} * 100[/tex]
[tex]\% c = 5\%[/tex]
Given: if A and B, then C. Given: the if-then statement reverse is also correct. Given A is false, B is false, what is c?
Answers
Conditional statements are statements that are either true or false, based on certain conditions.
The value of c is true
The condition is given as:
If A and B, then C
Where:
[tex]\mathbf{A = false}[/tex]
[tex]\mathbf{B = false}[/tex]
The reverse means that:
If not A and not B, then C
This means that:
[tex]\mathbf{not\ A = not\ false}[/tex]
[tex]\mathbf{not\ B = not\ false}[/tex]
So, we have:
[tex]\mathbf{not\ A = true}[/tex]
[tex]\mathbf{not\ B = true}[/tex]
For an and condition to be true, both values must be true.
So, we have:
If not A and not B, then C
Substitute known values
If true and true, then C
Because both values are true, then the value of C will also be true
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When John mom went grocery shopping she bought 5 cans of corn for $1.00 each she bought 4 cases of water for $4.00 she also bought 4 pounds of meat for $2.00 per pound she paid with$30.00 how much change did she have?
Answers
Answer:
$1
Step-by-step explanation:
5 cans of corn -- 5 * $1 = $5
4 cases of water -- 4 * $4 = $16
4 pounds of meat -- 4 * $2 = $8
Paid with -- $30
Change required -- 30 - 8 - 16 - 5 = $1
John's mom will get $13 change back from the grocery shopkeeper.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
5 cans of corn ⇒ $1.00/can
So cost 5 × 1 = $5
4 cases of water ⇒ $4.00 (remember not given "each")
So cost ⇒ $4
4 pounds of meat ⇒ $2.00 per pound
So cost 4 × 2 = $8
Now,
Total cost = 5 + 4 + 8 = $17
So,
Change = 30 - 17 = $13
Hence "John's mom will get $13 change back from the grocery shopkeeper".
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what do you do when you simplify like variables with different exponents for example: I have 3x^(5)y^(8) + 2x^(5)y^(7) when I simplify 3x and 2x give me 5x^(5) but I don't know what to do with the different exponents in the y variables do I separate the variables and end with 5x^(5)y^(8)y^(7)?
Answers
Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.
You have:
3x^5y^8 + 2x^5y^7
Apply the exponent rule a^b+c = a^ba^c
This means x^5y^8 = x^5y^7y
Now you have:
3x^5y^7y + 2x^5y^7
Since they both now have an x^5y^7 in them factor the out of both:
When you take that out it’d both numbers you are left with 3y + 2
The final answer is: X^5y^7(3y +2)
(03.06 LC) What is the value of |−44|? Numerical Answers Expected! Answer for Blank 1:
Answers
Answer:
44
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x, otherwise, if x < 0 then |x| = -x. In this case, x = -44 which is less than 0, therefore, |-44| = -(-44) = 44.
Answer:
It would be 44
Step-by-step explanation:
Because it takes 44 units to get to the positive number 44
cost of fuel is 1.45/L how much would 60L cost
Answers
Answer:
multiply the cost by the total number of liters needed: $1.45/L *60L = $87
Explanation:
Find the cost of fuel 60L:
1.45$ x 60
= 14.5$ x 6
= 87$
If AY parallel to CX, then find ∠ABC
please help!!!!!!!!!!!!!!!!!!!
Answers
Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]
Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed?
Answers
Answer:
Kevin mowed 4 lawns.
Step-by-step explanation:
If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.
(I'm not sure about the boxes because there wasnt a picture, but good luck!)
*need fast answer please * What are some numbers of pushups that Bucky will never do in any game ?
Answers
Answer:
{1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 64, 68, 72, 74, 76, 78, 80, 82, 86, 90, 94, 98}
Step-by-step explanation:
The total number of pushups Bucky does is the sum sequence of scores in the game. The values in that sequence depend on the order of the goal types.
For example, consider a 2-goal game. Possible sequences of scores are ...
3, 6 (9 pushups)
3, 10 (13 pushups)
7, 10 (17 pushups)
7, 14 (21 pushups)
You can see that for a 1- or 2-goal game, the number of pushups cannot be any of ... 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16.
The list above is all of the numbers less than 100 that are numbers of pushups Bucky will never do in any game in which the goal values are either 3 or 7.
__
Any game with 8 goals or more will have numbers of pushups more than 100.
A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over). How many degrees of freedom are there?
Answers
Answer: 3
Step-by-step explanation:
Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).
Here,
Total classes as per gender: k = 2 (male female)
Total classes as per age : m = 4 (under 20, 20−29, 30−39, and 40 or over)
Now , the degree of freedom = (k-1) ( m-1)
= (2-1) (4-1)
= (1)(3)
= 3
Hence, there are 3 degree of freedom.
If 223x=78,find x. If 223x=78, find x
Answers
Answer:0.3273542601
Step-by-step explanation:
73÷223=0.3273542601
Brooklyn is a waitress at a restaurant. Each day she works, Brooklyn will make a
guaranteed wage of $30, however the additional amount that Brooklyn earns from
tips depends on the number of tables she waits on that day. From past experience,
Brooklyn noticed that she will get about $9 in tips for each table she waits on. How
much would Brooklyn expect to earn in a day on which she waits on 17 tables? How
much would Brooklyn expect to make in a day when waiting on t tables?
Answers
Answer:
1. $183
2.30 + 9t
Step-by-step explanation:
Guaranteed wage =$30
Additional amount that Brooklyn earns from tips depends on the number of tables she waits on that day.
Each table Brooklyn waits on =$9
1. How much would Brooklyn expect to earn in a day on which she waits on 17 tables
Total wage= guaranteed wage + tips on each table
Total wage=$30 + $9x
Where x= number of tables Brooklyn waits on
If she waits on 17 tables
Total wage=$30 + $9x
=30 + 9(17)
=30+153
=183
Total wage=$183
2. How much would Brooklyn expect to make in a day when waiting on t tables?
Total wage=$30 + $9x
When x=t
Total wage= 30+9(t)
=30+9t
Total wage=30 + 9t
The area of floor and four walls of a room is 15m^2 and 32m^2 respectively. find the total surface area of the room
Answers
Surface area of the room:
area of ceiling + floor + the four walls
ceiling area = floor area
Total surface = 15 + 15 +32 = 62 m²
What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds
Answers
Complete question:
Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.
Answer: 0.7497
Step-by-step explanation:
Mean = 9
sd = 0.6
n = 4
P(4 babies will be between 8.4 and 9.6 pounds)
P(8.4 ≤ X ≤ 9.6)
Standard error of the sample (S. E) :
S. E = sd/√n
= 0.6 /√4
= 0.6/2
= 0.3
P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)
P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)
P(Z ≤ 2) - P(Z < - 2)
0.9772 - 0.2275 = 0.7497
The probability will be "0.7497".
Given:
Mean,
9Standard deviation,
0.6Number of babies,
4The standard error of sample will be:
→ [tex]S.E. = \frac{sd}{\sqrt{n} }[/tex]
[tex]= \frac{0.6}{\sqrt{4} }[/tex]
[tex]= \frac{0.6}{2}[/tex]
[tex]= 0.3[/tex]
hence,
→ P(4 babies will be between 8.4 - 9.6 pounds)
[tex]P(8.4 \leq X \leq 9.6) = (\frac{(8.4-9)}{0.3} \leq X \leq \frac{(9.6-9)}{0.3} )[/tex]
[tex]= P(-2 \leq X \leq 2)[/tex]
[tex]= P(Z \leq 2) - P(Z \leq -2)[/tex]
[tex]= 0.9772-0.2275[/tex]
[tex]= 0.7497[/tex]
Thus the above response is right.
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A fish bowl contains blue, green and red plastic fish.
Answers
Answer:
Please comment on this answer what the real question is.
Step-by-step explanation:
How many points need to be removed from this graph
so that it will be a function?
O 1 point
O 2 points
O 3 points
O 4 points
Answers
Answer:
3 points
Step-by-step explanation:
If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.
Answer:
3 points
Step-by-step explanation:
if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.
The ratio of people who walk to school to people ride the bus to school is 1:7. If there are 13 walkers, how many students ride the bus?
Answers
Answer: 91 students ride the bus
For this problem, you can set up a proportion where:
w = those who walk to school
r = those who ride the bus to school
[tex] \frac{w}{r} = \frac{w}{r} [/tex]
Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).
[tex] \frac{1}{7} = \frac{13}{x} [/tex]
Cross multiply (create an "x").
[tex]1 \times x = 7 \times 13[/tex]
[tex]x = 91[/tex]
-3x + 2y = 8 Which of the following graphs represents the equation above?
Answers
Answer:
-3x + 2y = 8
Simplifying
-3x + 2y = 8
Solving
-3x + 2y = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 8 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 8 + -2y
-3x = 8 + -2y
Divide each side by '-3'.
x = -2.666666667 + 0.6666666667y
Simplifying
x = -2.666666667 + 0.6666666667y
Step-by-step explanation:
Answer:
All i know is that it's not X
Step-by-step explanation:
I got it wrong on edmentum :/
Integrated Potato Chips paid a $2 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 4 percent per year. a. What is the expected dividend in each of the next 3 years? b. If the discount rate for the stock is 12 percent, at what price will the stock sell? c. What is the expected stock price 3 years from now? d. If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments? Compare your answer to (b).
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Dividend paid (D) = $2
Growth rate (g) = 4% per annum = 0.04
Expected Dividend in each of the next 3 years :
1st year : $2 * 1.04 = $2.08
2nd year : $2.08 * 1.04 = $2.16
3rd year: $2.16 * 1.04 = 2.2464 = $2.25
B) If the discount rate for the stock is 12 percent, at what price will the stock sell?
Discount rate (r) = 12% = 0.12
Price of stock = Dividend / (r - g)
Price of stock = 2 / (0.12 - 0.04)
Price = 2 / 0.08 = $25
c. What is the expected stock price 3 years from now?
(2.25 * 1.04) / 0.08
2.34 / 0.08 = $29.25
D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?
Dividend to be received from year 1 to 3
2.08, 2.16, 2.25
Stock price in 3rd year = 29.25
Present value :
(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00
For year 1 :
D = 2.08
Stock price = 2.16/0.08 = 27
Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96
Year 2 :
D = 2.16
Stock price = 2.25/0.08 = 28.125
cashflow = (2.16 + 28.125) = 30.285
PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00
Year 3:
D = 2.25
STOCK PRICE = 29.25
Total Cashflow = (2.25 + 29.25) = 31.5
PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60
please please help, question is in the picture
Answers
Answer:
29 years
Step-by-step explanation:
A = P (1 + r)^t
where A is the final amount,
P is the initial amount,
r is the annual interest rate,
and t is the number of years.
17,000 = 11,000 (1 + 0.015)^t
1.545 = 1.015^t
log 1.545 = t log 1.015
t ≈ 29
5^3 x 2^5 x 10^2 as a product of prime
Answers
Answer:
400000
Step-by-step explanation: