Answer: 3
Step-by-step explanation:
5 X 3/5 = 3
The bus fare in a city is 1.75 . People who use the bus have the option of purchasing a monthly coupon book for . With the coupon book, the fare is reduced to Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. g
Answer:
26 times
Step-by-step explanation:
Given
Without Coupon
[tex]Rate = 1.75[/tex] per trip
With Coupon
[tex]Coupon = 26[/tex]
[tex]Rate = 0.75[/tex] per trip
Required
The number of trips to be taken for both option (i.e. with or without coupon) to be equal
See comment for complete question
Let the number of trips in a month be x.
Without Coupon
Total amount is:
[tex]Total = Rate * x[/tex]
[tex]Total = 1.75x[/tex]
Without Coupon
Total amount is:
[tex]Total = Coupon + Rate * x[/tex]
[tex]Total = 26 + 0.75x[/tex]
To get x, we simply equate both options
[tex]1.75x = 26 + 0.75x[/tex]
Collect like terms
[tex]-0.75x + 1.75x = 26[/tex]
[tex]x = 26[/tex]
Find the slope of the line that passes through (4, 10) and (1, 11).
Answer:
-1/3
Step-by-step explanation:
Find the length of b to the nearest tenth using the Pythagorean theorem
Answer:
11.2
Step-by-step explanation:
We can use the pythagorean theorem to find b.
the formula is as follows:
a^2 + b^2 = c^2
We are given a is 10 and c is 15, so we can plug those two numbers in:
10^2 + b^2 = 15^2
Now, we can simplify and solve:
100 + b^2 = 225
b^2 = 125
b = √125
√125 is about 11.1803398875, and to the nearest tenth, this rounds to:
11.2
any help please - Simplify the expression 3(x + 2) –5(2x + 1). Factorise the expression 12x –18y and 2x2–5x –3. (3+6=9)
Simplifying the expression, the answer would be -7x+1
Solution
3 (x+2) - 5 (2x+1)
3x + 6 - 10x -5
COLLECT LIKE TERMS
3x - 10x + 6 - 5
= -7x+1
To plan for retirement, Deandre deposits $ 318 each quarter in an annuity that pays 7.6 %% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 27 years, Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the Bst of financial formalas
Answer: 1040
Step-by-step explanation:
just took 65 and mutiply 65$
solve the equation 2 b + 32 equal 8
Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 19° 14'. When the boat stops, the angle of depression is 54° 12'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest foot.
A. 474ft
B. 414 ft
C.452 ft
D.429 ft
Answer:
answer in link
Step-by-step explanation
alekscgi/x/Isl.exe
A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
Answer: hello the list related to your question is missing hence i will give you a general answer that will enable to pick the correct option from the list you have.
answer :
The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value
The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value
Step-by-step explanation:
Determine the null and alternative hypothesis
Mean difference = 0.914
standard deviation = 1.496
duration of test = 2 days
n ( sample size ) = 40
assuming 99% confidence interval
critical value = 2.708 ( using excel function : TINV (0.01, 40 - 1 ) )
Given that the aim of the experiment is to determine the effect of alcohol on driving ability
H0 : μ : Impairs driving
Ha : μ : does not impair driving
Note :
when the P-value is ≤ significance level we reject the Null hypothesis
while when the P-value is ≥ significance level we reject the alternate hypothesis
The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value
The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value
how do you know if there is an elephant in your fridge?
Answer:
you'll know bc your fridge will be broken
Step-by-step explanation:
Answer:
When there is footprints in the butter.
Step-by-step explanation:
(5b + 16)
(b + 32)°
What is the value of b ?
b =
Answer:
b = -8
Step-by-step explanation:
To determine the value of b, we can use the factoring method. We can factor the expression
(5b + 16)(b + 32) as (b + 8)(5b + 16).
Setting each factor to 0, we get b + 8 = 0 and 5b + 16 = 0.
Solving for b in the first equation, we get b = -8.
Substituting this value into the second equation, we get 5(-8) + 16 = 0, which simplifies to -40 + 16 = 0.
This equation is true only when the value of b is -8. Therefore, the value of b is -8.
please help i dont know how to do this
Answer:
1. a quantity that stands alone and is not changed by other quantities. most often x variable.
2. a quantity that changes depending on another quantity, as a result of the rule. most often the y variable
Step-by-step explanation:
Answer: A quantity that stands alone and is not changed by other quantities most often X variable.
A quantity that changes depending on another quantity, as a result of the rule most often Y variable.
K
A ball is thrown vertically upward from the top of a building 32 feet tall with an initial velocity of 16 feet per second. The distances (in feet) of the ball from the ground after 1 seconds
iss-32+16t-16t^2
(a) After how many seconds does the ball strike the ground?
(b) After how many seconds will the ball pass the top of the building on its way down?
(a) After how many seconds does the ball strike the ground?
As determined in part, the ball reaches its highest point at time t is 2 seconds
how many seconds does the ball strike the ground?S(t) = 32t - 16t2 is the formula for the displacement s(t) as a function of time t. We presume that the upward motion began at this altitude above the earth.
The ball's starting speed is 64 feet per second.
(A) The velocity is the displacement's first time derivative: v(t) = ds/dt = 32t – 16t. We are just deriving the function s for the first time (t).
(B) v(t = 3) = 32t– 16(3) = –32 feet per second. The ball is currently travelling downhill, according to the negative indication.
(c) The ball briefly pauses as it reaches its highest height before dropping. By setting the velocity to zero to symbolise this halt, we can calculate how long it will take the ball to reach its highest point.
v(t) = 32 - 16t = 0
or 16t = 32
out = 2 seconds.
As determined in part, the ball reaches its highest point at t = 2 seconds (c).
s(t = 2) = 32(2) - 16(2) (2)
2
or 32 feet if s(t = 2).
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Please help fast very urgent
Answer: C 1 - 5i
Step-by-step explanation:
1 is real part graphed sideways
- 5i is imaginary part (that’s what the i means)
And is graphed up and down
Thabiso is riding a bicycle at a speed
of 8,5m/s convert 8,5 m/s to km/h.
Answer:
30.6km/h
Step-by-step explanation:
To change from m/s to km/h needs to multiple by 36/10
36/10 × 8.5
=30.6km/h
How many solutions does the nonlinear system of equations graphed below
have?
A. Four
B. Two
C. Zero
D. One
fastest one gets brainle
Answer:
6/11
Step-by-step explanation:
24/4=6
44/4=11
Answer:
6/11
hope this helps
have a good day :)
Step-by-step explanation:
Please help will mark Brainly
Answer:
y < 1/2x +6
Step-by-step explanation:
You want the inequality graphed in the given figure.
Line and shadingThe line is dashed, and the shading is below it, so the inequality will have the form ...
y < ...
This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.
Boundary lineThe y-intercept is at +6, where the line crosses the y-axis.
The line goes 2 units to the right for each 1 unit up, so its slope is ...
m = rise/run = 1/2
The slope-intercept equation for the boundary line is ...
y = mx +b . . . . . . slope m; y-intercept b
y = 1/2x +6 . . . . . equation of the boundary line in the graph
InequalityPutting the boundary line expression into the inequality form gives the inequality that describes the graph:
y < 1/2x +6
The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?
The population of North Carolina will reach 12 million in the year 2028.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Given that,
Population in 2010 = 9.5 million
Population is increasing to 1.3% per year.
Annual growth rate = 1.3% = 1.3/100 = 0.013
We have the population growth formula,
P = P₀ e^(r t)
Here, P₀ = 9.5 million = 9,500,000
and P = 12 million = 12,000,000
r = 0.013
We have to find t.
12,000,000 = 9,500,000 e^(0.013t)
120 / 95 = e^(0.013t)
Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,
㏑(12/9.5) = 0.013t × ㏑e
[㏑(12/9.5) ÷ 0.013] = t [since ln e = 1]
t = 17.97 ≈ 18 years
The year is 2010 + 18 = 2028
Hence in the year 2028, the population will be 12 million.
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A survey of businesses in a particular state found that out of 150 surveyed, 51 were owned by women. We want to estimate the true proportion of businesses owned by women.
Construct a 95% confidence interval. Round your answers to 4 decimal places.
Answer:
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A survey of businesses in a particular state found that out of 150 surveyed, 51 were owned by women.
This means that [tex]n = 150, \pi = \frac{51}{150} = 0.34[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 - 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.2763[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 + 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.4037[/tex]
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
HELP
Divide the polynomial by the monomial.
21xy^2+ 15x^3y - 12z^2y
over 3x
Can someone please help me with this question? I’m so confused!
1/x^7
Step-by-step explanation:
To the 7th power is positive. It's the first one.
Hope this helps, have a good day!
it is A because X is unknown u can put 0 as a denominator so it 1 the X is still unknown and your exponents are 0
Determine if the following sequences are geometric or arithmetic sequences?
Answer:
Step-by-step explanation:
The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.
Each quantity represents in the situation are y is overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.
What each quantity represents in the situation.The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the
initial value, rate of change
The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100
y - 75 = 10(x - 5) (x - 5)
4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5
If you start with $25 and can make $10 every day, money do you have after x days are
y = overall financial time (day).
10 times the daily wage earned.
25 times the money's initial worth.
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8) Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated
before 1940, 35% are dated from 1940 to 1980, and the rest are dated
after 1980. How many coins in Jennifer's collection are dated after 1980?
Please no links!!!
==============================================
Explanation:
40% + 35% = 75% of the coins were either made before 1940, or made from 1940 to 1980. In other words, 75% of the coins were minted before 1980. This leaves 100% - 75% = 25% of the coins to being minted after 1980.
25% of 1600 = 0.25*1600 = 400 coins were made after 1980
Help please look at picture^^
Answer:
254.47
Step-by-step explanation:
A= 3.14 x r²
A = 3.14 x 9
A = 254.47
Hope this helps
Answer
254.3—- rounded
A= Pi times r squared - this is formula for area of circle
area= 3.14 Times 9 squared
3.14 times 81
254.3
make sure to substitute values!
I hope this helps!
native topic 3
R
Is the function f(x)
neither?
2x5 + 4x + 6 odd, even or
NO LINKS PLEASE
The ratio of sweaters to dresses that Jennifer has is 4:1. If Jennifer has 12 sweaters then how many dresses must she have?
Answer:
3
Step-by-step explanation:
divide 12 by 4 and then multiply that number by 1
Answer:
3
Step-by-step explanation:
3 Because 4 = 1 and if its 12 then u have to divide it by 4 which is 3 also can u tell me if i got it right casue if its wrong im really sorry but im 99.99999999% sure its 3 lol
anyone please help mee with geometry
Answer:
y = 5
Step-by-step explanation:
Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.
please help me ASAP!!! could someone help me do my geometry?
Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°