Answer:
Step-by-step explanation:
I always advise my students to make a table of information for these story problems because trying to keep track of the information otherwise is a nightmare. The table will look like this:
d = r * t
m
c
m is motorcycle and c is car.
First thing we are told is that the ratio of m's speed to c's speed is 5:4; that means that we can divide 5/4 to find out how many times faster m is going than c.
5/4 = 1.25 so we have a couple of values to put into the table right away, along with the fact that they are both traveling the same distance of 160 miles.
d = r * t
m 160 = 1.25r
c 160 = r
The last thing we have to fill in is the time. If m travels a half hour less than c, c is driving a half hour more than m, right? Filling that in:
d = r * t
m 160 = 1.25r * t
c 160 = r * t + .5
Now we have our 2 equations. Looking at the top row of the table gives us the formula we need to solve this problem. It tells us, in other words, what we are going to be doing with these columns of numbers. Distance equals the rate times the time. For the motorcycle, the equation is:
160 = (1.25r)t and that seems pretty useless since we still have 2 unknowns in there and you can only have 1 unknown in 1 equation. Let's see what the equation for the car is.
160 = (t + .5)r Same problem.
Let's go back to the equation for the motorcycle and since we are looking for the rates of each, let's solve that equation for time in terms of rate (solve it for t):
[tex]t=\frac{160}{1.25r}[/tex] and sub that into the car's equation in place of t:
[tex]160=r(\frac{160}{1.25r})+.5r[/tex] and simplify. The r's to the left of the plus sign cancel out leaving us with:
[tex]160=(\frac{160}{1.25})+.5r[/tex] and divide those numbers inside the parenthesis to get:
160 = 128 + .5r and subtract 128 from both sides to get:
32 = .5r and finally divide by .5 to get
r = 64 miles/hour
The car goes 64 mph and the motorcycle goes 1.25 times that so,
m = 1.25(64) and
m = 80 mph
Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form
Answer:
r= 17.73174
Step-by-step explanation:
calculations
remove bracket and simplify 6x-(3x+2)
Answer: 3x - 2
Step-by-step explanation:
First to solve this, we need to know some basic information such as:
1. (-) × (-) = +
2. (+) × (-) = -
3. (+) × (+) = +
Therefore, 6x-(3x+2)
= 6x - 3x - 2
= 3x - 2
The answer to the question after removing the bracket will be 3x - 2.
100
During a basketball practice, Steph Curry made 234 three point shots in 45 minutes.
In the same practice, his teammate Klay Thompson made 168 three point shots in 34 minutes.
1) Find the unit rates of both players of shots made per each minute.
2) Which player was making more shots at a higher rate?
Answer:
it was very nice step so they wine so anther bed boys decided to take his legs and round and round to good boys
a. A CD is discounted by 10%, and then from the already discounted price, a further 15% discount is given. If the price now is $12.93, find the original price.
b. What is the total discount percent as compared to the original price?
Answer:
a. $16.90
b. 23.5%
Step-by-step explanation:
a. After the two discounts, the original price is multiplied by ...
(1 -10%)(1 -15%) = 0.90×0.85 = 0.765
Then the original price is found from ...
$12.93 = 0.765 × original price
original price = $12.93 / 0.765 ≈ $16.90
__
b. The effective discount from the original price is ...
1 -0.765 = 0.235 = 23.5%
Angle ABC has A(3-,6), and C(9,55 as it vertices.
What is the length of side AB in units?
Answer:
7.07 units
Step-by-step explanation:
Given
[tex]A = (-3,6)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (9,5)[/tex]
See comment for complete question
Required
Side length AB
To do this, we make use of the following distance formula;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-3 - 2)^2 + (6 - 1)^2}[/tex]
[tex]d = \sqrt{(-5)^2 + 5^2}[/tex]
[tex]d = \sqrt{25 + 25}[/tex]
[tex]d = \sqrt{50}[/tex]
[tex]d = 7.07[/tex]
change the following basis to Base 10 134 in base seven
Answer:
74 base 10.
Step-by-step explanation:
134 base 7 = 7^2 + 3*7 + 4
= 49 + 21 + 4
= 74 base 10
Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!
A plane is flying at an altitude of 13,000 ft, where the temperature is -2 degrees F. The nearby airport, at an altitude of 2,000ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32 degrees F.
Is the precipitation at the airport rain or snow?
9514 1404 393
Answer:
snow
Step-by-step explanation:
The relationship between temperature and altitude is given as ...
T = -2 +((13000 -a)/1000)×2.1
We can put a=2000 into this equation to find the temperature at that altitude.
T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1
The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.
Which complex number does not lie on the line segment plotted on the graph?
Answer:
Notice that for 3 out of the 4 numbers, there is a relationship between the x and the y coordinate of the number; for 3+i, -2i, -2-4i we have that the real part is larger by 2 from the imaginary part. Thus, the points are on the same line in the imaginary plane; they satisfy x=y+2 or Re{z}=Im{z}+2. However, 2-4i does not satisfy this equation since 2 is not equal to -4+2. Hence, this point does not belong to the line that the other 3 points define.
Step-by-step explanation:
Find the product (-3/5) (-2/9)
Answer:
2/15
Step-by-step explanation:
(-3/5) (-2/9)
Rewriting
-3/9 * -2/5
-1/3 * -2/5
A negative times a negative is a positive.
2/15
A piece of wire that is 200 ft long is to be cut into two pieces and each of the piece is to be bent into a square. How should the wire be cut if the area of one of the squares is 1000ft2 smaller than the other?
Answer:
Length of first cut = 140
Length of second cut = 60
Step-by-step explanation:
Given:
Length of wire = 200
Find:
Length of each cut
Computation:
Assume;
Side of first square = x/4
Side of second square = [200 - x] / 4 = 50 - x/4
So,
[x/4]² - [50 - x/4]²
x²/16 - x²/16 - 2500 + 25x = 1000
- 2500 + 25x = 1000
25x = 3500
x = 140
Side of first square = 140/4
Side of first square = 35
Side of second square = 50 - 140/4
Side of second square = 15
Length of first cut = 4 x 35
Length of first cut = 140
Length of second cut = 200 - 140
Length of second cut = 60
Answer:
60 ft and 140 ft
Step-by-step explanation:
Total length = 200 ft
Let the length of one piece is L and other is 200 - L.
[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]
So, the length of the other piece is 140 ft.
please try this for answer my question please
Answer:
1. +30
2. +64
3. 0
4. -3
5. +24
6. +18
7. -48
8. -64
9. +21
10. -30
11. +12
12. 0
13. -4
14. +56
15. +2
Step-by-step explanation:
When multiplying integers:
two negatives = positive
two positives = positive
one negative x one positive = negative
So, if the signs are the same, the answer is positive.
If you have two different signs, the answer is negative.
You multiply the integers like normal.
Anything multiplied by zero = 0.
Anything multiplied by one = itself (just be careful of the sign).
sin4x - cosx
---------------- = f(x) f^1(π/4) what is the derivative?
tanx
I think you are asked to find the value of the first derivative of f(x) at π/4. Given
[tex]f(x) = \dfrac{\sin(4x)-\cos(x)}{\tan(x)}[/tex]
use the quotient to differentiate and you get
[tex]f'(x) = \dfrac{\tan(x)(4\cos(4x)+\sin(x))-(\sin(4x)-\cos(x))\sec^2(x)}{\tan^2(x)}[/tex]
Then at x = π/4, you have
tan(π/4) = 1
cos(4•π/4) = cos(π) = -1
sin(π/4) = 1/√2
sin(4•π/4) = sin(π) = 0
cos(π/4) = 1/√2
sec(π/4) = √2
==> f ' (π/4) = (1•(-4 + 1/√2) - (0 - 1/√2)•(√2)²) / 1² = -4 + 1/√2 + √2
3. Tell whether each statement is true or false Explain how you know a) LCM (7, 18) - LCM (14.18) b) LCM (5,8) - LCM (10,8) c) The GCF of any two prime numbers is 1 and the number itself.
Step-by-step explanation:
ok for a. the both are 126
and for b. the both are 30
for c. i believe its true
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a.
f(x)= 7x e^x, a= 0
Hi there!
[tex]\large\boxed{p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4}[/tex]
Recall a Taylor series centered at x = 0:
[tex]p(x) = f(0) + f'(0)(x) + \frac{f''(0)}{2}x^{2} + \frac{f'''(0)}{3!}x^{3} + ...+ \frac{f^n}{n!}x^n[/tex]
Begin by finding the derivatives and evaluate at x = 0:
f(0) = 7(0)e⁰ = 0
f'(x) = 7eˣ + 7xeˣ f'(0) = 7e⁰ + 7(0)e⁰ = 7
f''(x) = 7eˣ + 7eˣ + 7xeˣ f''(0) = 7(1) + 7(1) + 0 = 14
f'''(x) = 7eˣ + 7eˣ + 7eˣ + 7xeˣ f'''(0) = 21
f⁴(x) = 7eˣ + 7eˣ + 7eˣ + 7eˣ + 7xeˣ f⁴(0) = 28
Now that we calculated 4 non-zero terms, we can write the Taylor series:
[tex]p(x) = 0 + 7x + \frac{14}{2}x^2 + \frac{21}{3!}x^3 + \frac{28}{4!}x^4[/tex]
Simplify:
[tex]p(x) = 7x + 7x^2 + \frac{7}{2}x^3 + \frac{7}{6}x^4[/tex]
Pasagot po kasi d kopo alam
Answer:
ano po ba ga gawin jn? para masagutan ko po
Multiply and show work
Answer:
-15m^10 -38m8+57m^6+98m^4-30m^2
Answer:
jere is your answer i hope it will help u
Where does the graph of f(x)=2√-x+2 start?
A. (−2,0)
B. (2,0)
C. (0,2)
D. (0,−2)
A study examined the stress amounts of working additional hours. In the study, the researchers investigated the link between weekly hou networking Web site. The Web site's directory was searched for those with "average" nares (e.g. "John Smith", "Sara Jones"). These inc leaving a sample size of 44 respondents. Answer parts (a) through (d).
a. Identify the experimental units for this study. Choose the correct answer below.
A. Stress levels
B. Weekly hours worked
C. All workers
D. People who used a particular Web site
b. What are the variables of interest? Are they quantitative or qualitative in nature?
A Weekly hours worked, qualitative; Stress level, quantitative
B. Weekly hours worked, qualitative; Stress level, qualitative
C. Weekly hours worked, quantitative; Stress level, quantitative
D. Weekly hours worked, quantitative; Stress level, qualitative
c. Describe the population of interest. Choose the correct answer below.
A. Weekly hours worked
B. People who used da particular Web site
C. All workers
D. Stress levels
d. Do you believe the sample of 44 respondents is representative of the population? Explain.
A. No, selection bilas is present since only those with average" names could participate, and the group of these that did was self-selecte
B. Yes, since the Web site is popular, the sample is likely to contain a diverse group.
C. No, although an average subset of the population was obtained the group within this subset that participated was self-selected.
D. Yes, an average subset of the population was obtained, and anyone within this subset could participate. hours worked and stress level (measured on a 5-point scale where 1 = "not stressed and 5= very stressed"). Participants for the study were those who used a popular social e individuals were then invited to participate in an online survey in exchange for a $10 gift certificate of the respondents, those who worked very many or very few hours were excluded
In this exercise, do not attempt formal mathematical derivations, which would actually involve some subtle issues when we go beyond discrete random variables. Rather, use your understanding of the concepts involved. For each one of the statements below, indicate whether it is true or false.
(a) The law of iterated expectations tells us that E [E[X|Y]] = E[X]. Suppose that we want apply this law in a conditional universe, given another random variable Z, in order to evaluate E [X2]. Then: EE[X|Y, 2]|2] = E[X2] y E[E[X|Y]|2] =E[X2] V EE[X|Y,Z]] =E[X2]
(b) Determine whether each of the following statements about the quantity E[g(X,Y)|Y,Z) is true or false. The quantity E[9(X,Y)|Y, 2) is: • a random variable y a number y a function of (X,Y) y a function of (Y,Z) | a function of Z only
Solution :
From the given equation :
E[ E (X|Y) ] = E (X)
a). Then,
E[ E [ X|Y,Z] | Z] = E [ X|Z ]
---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ]
---- False
E [E [X | Y,Z ]] = E [X|Y ]
---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
A random variable ----- TrueA number ----- FalseA function of (X,Y) ----- FalseA function of (Y,Z) ----- TrueA function of Z only ------- FalseThe low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
From the given equation the law of iterated expectations
[tex]E[ E (X|Y) ] = E (X)[/tex]
Therefore We have to find a)
What is the definition of iteration?Iteration is the repetition of a process in order to generate a sequence of outcomes.
So by using the low of iteration we can say that,
E[ E [ X|Y,Z] | Z] = E [ X|Z ] ---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ] ---- False
E [E [X | Y,Z ]] = E [X|Y ] ---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
For a random variable y this is ----- True
For a number ----- False
For a function of (X,Y) ----- False
For a function of (Y,Z) ----- True
For function of Z only ------- False
Therefore,The low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
To learn more about the iteration visit:
https://brainly.com/question/14284157
Joe works as a salesman at the baby retail store. He receives a 5% commission on the first $ 10 000,9% on the next $ 7000, and 13% on any additional sales. Calculate how much Joe must sell to make $ 2082.9 in commission
Answer:
Joe must sell $ 24,330 to make $ 2,082.9 in commission.
Step-by-step explanation:
Since Joe works as a salesman at the baby retail store, and he receives a 5% commission on the first $10,000, 9% on the next $7,000, and 13% on any additional sales, to calculate how much Joe must sell to make $2082.9 in commission the following calculation must be performed:
10,000 x 0.05 = 500
7,000 x 0.09 = 630
2,082.90 - 500 - 630 = X
952.90 = X
0.13X = 952.90
X = 952.90 / 0.13
X = 7.330
10,000 + 7,000 + 7,330 = X
24,330 = X
Therefore, Joe must sell $ 24,330 to make $ 2,082.9 in commission.
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
-10, -12, -14, -16, -18,...
0-2, 8, 18, 28, 38, ...
08, 18, 28, 38, 48, ...
O ,
10, 8, 6, 4, 2, ...
Answer:
10, 8, 6, 4, 2, ...
Step-by-step explanation:
For this problem, you were given the recursive rule. The recursive rule consists of an equation that represents how the former term is modified to get the current term and the first term of the sequence. F(1) means the first term; in this case, the first term is 10. The equation in the rule shows that 2 is subtracted from the last term to get the current term. This means that the common difference is -2 and each term decreases by 2. Therefore, the last option, 10, 8, 6, 4, 2, ..., is correct.
2+2 ..................................needed 20 characters
Answer:
plese mark me brainlist
Step-by-step explanation:
thankyou and have nice day
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than . Suppose that we suspect otherwise and carry out a hypothesis test. State the null hypothesis and the alternative hypothesis that we would use for this test.
Answer:
The null hypothesis is [tex]H_0: p \leq x[/tex], in which x is the proportion tested.
The alternative hypothesis is [tex]H_1: p > x[/tex]
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
[tex]H_0: p \leq x[/tex]
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
[tex]H_1: p > x[/tex]
Using law of sines please show process and answer
Hello,
[tex]\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\[/tex]
Suppose 243 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea.
Part A- correct answer is C.
Part B- The test statistic for this hypothesis test is ___? (Round to two decimal places as needed)
Answer:
20%?
Step-by-step explanation:
Help someone please
A car uses 3/4% of a tank of gasoline to go 600 kilometers. What must one know to be able to determine how many kilometers the car gets per liter?
(1) the number of liters the tank holds
(2) the cost of gasoline per liter
(3) the average daily mileage of the driver (4) the relative age of the car
(5) the ratio of the mass to volume of the car
Answer:
(1) the number of liters the tank holds
Step-by-step explanation:
9. What is the value of x if the quadrilateral is a rhombus? 15 5x 4x+3
The measures of two angles of a triangle are 101° and 37°. Find the measure of the third angle in degrees.
Answer:
42 degrees
Step-by-step explanation:
We already have the two angles for the triangle, we just need the third. For triangles, the can only add up to 180 degrees. 101+37=138 degrees, now we subtract 138 from 180.
180-138=42.
Categorize the following logical fallacy.
John Bardeen's work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. Hence, it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles.
a. Circular reasoning
b. False dilemma
c. Appeal to consequence
d. Ad hominem
e. Correlation implies causation
Answer:
d. Ad hominem
Step-by-step explanation:
A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.
However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;
I. Black or white.
II. Non sequitur.
III. Appeal to moderation.
IV. Bandwagon.
V. Appeal to authority.
VI. Straw man.
VII. Oversimplification or hasty generalization.
VIII. Appeal to ignorance.
IX. Appeal to pity.
X. Ad hominem.
Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.
This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.
In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.
A paper weight is made in the shape of a triangular pyramid.The dimensions of the paper weight are shown The formula for the volume of a triangular pyramid is V = 1/3 Bh .Which expression can be usef to find the value of B the area of the base of the pyramid
Answer:
[tex]B = \frac{3V}{h}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{1}{3}Bh[/tex]
Required
Solve for B
We have;
[tex]V = \frac{1}{3}Bh[/tex]
Multiply by 3
[tex]3V = Bh[/tex]
Make B the subject
[tex]B = \frac{3V}{h}[/tex]