Answer:
C. h + k (t - 1)
Step-by-step explanation:
If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?
The first hour = $10
The 3 additional hours (totaled) = $15
Cost = $25
So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.
h = 10
k = 5
t = 4
A. 10 + 4 + 5 = 19
B. 10 + (4 · 5) = 10 + 20 = 30
C. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = 25
D. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = 35
E. 10 + (4/5 - 1) = 10 + (-0.2) = 9.8
C is the only problem that comes out as $25, therefore it must be the correct answer.
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
write the first ten multiples of 3 ,4 and find l.c.m with method
Answer:
Multiples of 3=3,6,9,12,15,18..
Multiples of 4=4,8,12,16,20..
The first common multiple will be 12
And the next common multiples will be multiples of 12
Hence, first four common multiples of 3,4 are 12,24,36,48
https://www.cuemath.com/numbers/lcm-of-3-and-4/
Find the slope (rate of change) of the representation. Please explain the answer.
Answer:
The slope is undefined.
Step-by-step explanation:
By looking at the table of values, you can see the x values are not changing. If these points were graphed, they would make a vertical line. Whenever this is the case, the line has an undefined slope.
You can calculate the slope if graphing cannot be done by using the formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-1}{-2-(-2)}\\m=\frac{3}{0}\\[/tex]
Therefore, the slope of this representation is undefined.
1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
9x square divided by 3x
9x^2/3x
= 3x
...................
Answer:
3x
Step explanation:
[tex]\frac{9x^{2}}{3x}=\frac{3*3*x*x}{3*x}=3x[/tex]
0.007407 in standard form
Step-by-step explanation:
To convert 0.007407 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 7.407 × 10-3
i think this may help you tq
Which statement illustrates the distributive property?
Answer:
If this is a numerical equation that you need, than here is an example: 2(6x+5)
or, if you ae not using variables, 2(6+5)
Step-by-step explanation:
In both cases the 2 is the number being distributed. This means that 2 is being multiplied by both 6x and 5 (or 6 and 5).
Let f(x)=x^2+3x-4 and g(x)=x+5. Find f(x)•g(x)
a. x^3+3x^2+16x-20
b. x^3+5x^2+14x-20
c. x^3-8x^2+11x-20
d. x^3+9x^2+19x-20
Answer:
C is the answer
Step-by-step explanation:
Answer:
none of them is correct. Option c would have been correct if it was +8x² instead of -8x².
BRAINLIEST
Write the equation of the line that passes through the points (5,3)(5,3) and (-7,-1)(−7,−1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y+1=(x+7)/3
Step-by-step explanation:
slope = (-1-3)/(-7-5) = -4/-12 = 1/3
b = 3-(1/3)×5 = 4/3
y = mx+b
or, y = x/3+4/3
its point slope form,
y = x/3+4/3
or, y=(x+4)/3
or, y+1=(x+4)/3+1
or, y+1=(x+4+3)/7
or, y+1 =(x+7)/3
The equation of the line that pass thought the given points will be y+1 =(x+7)/3.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the data in the question,
Slope = (-1-3)/(-7-5)
= -4/-12
= 1/3
b = 3-(1/3) × 5
b = 4/3
As per the expression for slope,
y = mx+b
y = x/3+4/3
Now, point in slope form
y = x/3+4/3
y=(x+4)/3
y+1=(x+4)/3+1
y+1=(x+4+3)/7
y+1 =(x+7)/3
This is the expression for the line.
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I am a bit confused on a derivative is in Calculus. From what I understand, I derivative is the limit of a tangent line on a curve. I was wondering if someone can explain in simple terms what a derivative is and what is the point of calculating it. Thanks!
Answer:
Step-by-step explanation:
To answer your question fully can literally take up an entire book.
The importance becomes obvious if you consider the derivative (and the inverse of it the integral) as the foundation of calculus. I guess that askes the question what is calculus? For this answer a very very simplistic answer would be that it is the branch of mathematics that studies "non-constant" change (things that curve)
...... Let's see if this makes sense? You are driving your car at a constant 50 mph . after one hour you are 50 miles from home and after two you are 100.
y=50x. you can calculate this value in a several of ways just take two time stamps and two distance stamps ... subtract the two times and two
ok now here is the REAL PROBLEM issue we want to know our CHANGE IN
VELOCITY (that is ACCELERATION) ... if you take ANY two points you will
see that the SPEED is ALWAYS the same so the numerator is always 0 (zero) and thus the denominator (the difference in the time stamps) does not matter
now lets say that we are accelerating ..we are going y = 10 [tex]x^{2}[/tex] mph
at 3 seconds we are going 90 mph (10* 3^2) .. but we really don't care about that we want the "acceleration" at EXACTLY that point...
to do that we "have to estimate" delta Y over delta X
lets take 3 and 0 .... (9-0)/3 estimate of acceleration is 3...
but WAIT we can do better (get closer) take 3 and 1 ... (9 - 1)/2
acceleration is 4... once again lets get closer to the exact 3 ...
3 and 2 ... (9 -4)/2 the acceleration is 5...
hold on ! lets get even closer use 3 and 3 and we get it exactly !
(9-9)/0 that is the answer hurray! HOLD ON ! you CAN NOT DIVIDE BY ZERO ... no can do... we have to wait for newton and Leibniz to
figure out lim as x-> 0 f(x)-f(x+ delta x) / x to get around the DIVIDE BY ZERO problem...
that is the derivative
In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!
Answer:
Hello,
Step-by-step explanation:
The well-known magic square. (first apparition in China).
Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)
We are going to put successively the number from 1 to n² (here n=3)
We imagine that the square is put on a sphere;
We begin in the middle of the last line where we put 1
ICI:
We move in direction SE of one case and put le next number
until we reach of multiple of n
After have reached a multiple of n, we move verticaly of one case
and we go to ICI until we reach n²
the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?
Answer:
650000/12% and in fraction 650000devide by 12% you will get 541.`6
HELP ME PLEASEEEE
TAXI RATES A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. Write an expression for the cost of the ride
if you travel x miles in the taxi with no traffic delays.
Step-by-step explanation:
C(x) = 2.50 + 5(0.40x)
<=> C(x) = 2.50 + 2.00 x
The required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5
Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
What is the first quartile of the data set 3,7,11,14,16,16,18,21,22,23,27?
A. 22
B. 16
C. 14
D. 11
Answer:D
Step-by-step explanatiation:25th Percentile: 11
50th Percentile: 16
75th Percentile: 22
Interquartile Range: 11
With the aid of an illustrative example, discuss the relationship between the area of a region and the definite integral. *
Suppose there is a function f(x), the definite integral of the function is the difference between the upper and lower x-values.
There are three relationships between the definite integral and the area of the region. The relationships are:
Positive functionNegative functionRegion between two functionsPositive function
The area between the function itself and the x-axis represents the definite integral.
Negative function
The area between the function itself and the x-axis, multiplied by -1 represents the definite integral.
Region between two functions
The definite integral of the function is the difference between the region of both functions.
See attachment for further illustration
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square of 5x+1 by 5x.Please help mee
Table 8 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = a(1-6), where a and b are constants. Jadual 8 menunjukkan nilai-nilai bagi dua pembolehubah, x dan y, yang diperoleh daripada suatu eksperimen. Pembolehubah x dan y dihubungkan oleh persamaan y=a(1-6)", dengan keadaan a dan b ialah pemalar 1 2 3 4 5 2.19 3.61 y 5.50 8.32 12.51 20.42 Table 8 Jadual 8 (a) Based on Table 8, construct a table for the values of log.ny. Berdasarkan Jadual 8, bina satu jadual bagi nilai-nilai logo y. [1 mark] [1 markah] (6) Plot logio y against x, using a scale of 2 cm to 1 unit on the x-axis and 2 em to 0.2 unit on the logo y -axis. Hence, draw the line of best fit [3 marks]
Answer:
TABLE 8
Step-by-step explanation:
HELPPP MEEEE PL………zzzzzz
Answer:
VW=6
Step-by-step explanation:
UW=VW+UV
5x=(5x-4)+(2x)
5x= 7x-4
7x-5x=4
2x=4
x=4/2=2
VW=5x-4=5(2)-4=10-4=6
I hope I helped you^_^
A5cm x 11 cm rectangle sits inside a circle with radius of 12 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
5 cm
12 cm
11 cm
cm?
PLS HELP ME FOR 17 POINTS
Answer:
397.16 cm²
Step-by-step explanation:
Area of the circle = πr²
3.14 * 144 = 452.16
452.16 - (11 x 5 ) = area shaded region
452.16 - 55 = 397.16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the surface area of the figure below. Round it to the nearest tenth.
Answer:
173.4
Step-by-step explanation:
Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4
Let A represent the average value of the function f(x) on the interval [0,6]. Is there a value of c for which the average value of f(x) on the interval [0,c] is greater than A?
Answer:
The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)
In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped
to 90 litres of fuel per passenger. What is the percentage reduction in fuel used? Give you
answer to the nearest whole percentage.
Answer:
22% reduction
Step-by-step explanation:
Find the percent decrease by dividing the difference in amounts by the original amount.
Find the difference:
115 - 90 = 25
Divide this by the original amount:
25/115
= 0.217
So, the percent decrease is 21.7%. Round this to the nearest whole percentage:
= 22
The percent reduction in fuel used was approx. 22%
Jennifer is saving money to buy a bike. The bike costs $239. She has $127 saved, and each week she adds
$16 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.
Answer: 7 weeks
Step-by-step explanation:
16X + 127 = 239
16X = 239 - 127
16X = 112
X = 112/16
X = 7
What is the simplest form of the fraction 120/150?
Answer:
4/5
Step-by-step explanation:
120/30=4
150/30=5
120/150=4/5
Answer:
4/5
Step-by-step explanation:
120/150
Both 120 and 150 are divisible by 30
So we divide both number by 30
120 ÷ 30 = 4
150 ÷ 30 = 5
So therefore the answer is
4/5
Hope this helps!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
so the simplest way to find the volume of water is by dividing into different....objects
so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5
now calculate the volume of each box and add them up
v = length x width x height
box 1 = 12 x 14.5 x 5 = 870 ft^3
box 2 = 7x4x5 = 140
now smash them up together = 870+140=1010ft^3
hope that answers your question
ayuda porfavor cuanto es h+3cm=? y cuanto es b+4cm=? y cual seria el resustado de las dos calculacion
GOOD MORNING,
HAVE A GREAT DAY AHEAD
3.41 repeating as a fraction?
Answer: the answer is 3 41/99
Step-by-step explanation: got it from khan pls mark me 5 stars
Express the value of the following scientific notation of the normal in general number system
a). 2.7 X10 cube
Answer:
2.7*10³=2700
note if power positive you add '0s' to the back eg 10³=1000 if the power is negative e.g10^-3 add to the front and a decimal e.g 0.001
[tex]\\ \sf \longmapsto 2.7\times 10^3[/tex]
[tex]\\ \sf \longmapsto 27\times 10^{-1}\times 10^3[/tex]
[tex]\\ \sf \longmapsto 27\times 10^{-1+3}[/tex]
[tex]\\ \sf \longmapsto 27\times 10^2[/tex]
[tex]\\ \sf \longmapsto 27\time 100[/tex]
[tex]\\ \sf \longmapsto 2700[/tex]
(-8)(-8)(5)(5)(-8)=
PLZZ HELP ME
Answer:
First opening all the bracet
-8*-8*5*5*-8
- and -will be + so,
64*25*-8
64*-200
-12800
a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
The digits n, n+1 and n+2 implies that the special numbers are consecutive i.e. they follow one another. The count of special numbers less than 1000 is 17.
Given that:
[tex]\{n,n+1,n+2\} = \{4,5,6\}[/tex]
[tex]Range = 1000[/tex]
First, calculate the LCM of 4, 5 and 6.
[tex]4 = 2 \times 2[/tex]
[tex]5 = 5[/tex]
[tex]6 = 2 \times 3[/tex]
So, the LCM is:
[tex]LCM = 2 \times 2 \times 5 \times 3[/tex]
[tex]LCM = 60[/tex]
This means that the special digit occurs after every other 60 digits (i.e. the difference between a special digit and another is 60)
To calculate the count of special digits, we make use of arithmetic progression formula
[tex]L = a + (n - 1) \times d[/tex]
Where
[tex]L = 1000[/tex] --- the last term
[tex]a = 4[/tex] --- the first special digit
[tex]d = 60[/tex] --- the common difference as explained above
So, we have:
[tex]L = a + (n - 1) \times d[/tex]
[tex]1000 = 4 + (n - 1) \times 60[/tex]
Collect like terms
[tex]1000 - 4 =(n - 1) \times 60[/tex]
[tex]996 =(n - 1) \times 60[/tex]
Divide both sides by 60
[tex]16.6 =n - 1[/tex]
Add 1 to both sides
[tex]1 + 16.6 =n[/tex]
[tex]17.6 =n[/tex]
Rewrite as:
[tex]n =17.6[/tex]
Remove the decimal part (do not approximate)
[tex]n =17[/tex]
Hence, the special numbers are 17 in total (that are less than 1000).
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