Answer:
x = 3
Step-by-step explanation:
2x + 11 = 5
- 11 -11
2x/2 6
x = 3
Someone help:
1 Asalesman leaves home at 0800 and travels for 13 hours at an average
speed of 60km/h. He then stops for 30 minutes. He continues for 2 more
hours at 50km/h and stops for 1 hour. He then returns home and arrives
home at 1600.
a) Show this in a travel graph.
b) Calculate his average speed for his return journey.
Answer:
a) Please find attached the required travel graph with times increasing from (0:00) of the day of travel to the following day
b) The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h
Step-by-step explanation:
The given information includes;
The time of departure of the salesman, t₁ = 0800
The duration of travel of the salesman = 13 hours
The average speed with which the salesman travels = 60 km/h
The time duration in which he stops = 30 minutes
The speed with which he continues = 50 km/h
The time duration he travels at 50 km/h = 2 hours
The time he arrives home after he turns, t₂ = 16:00
The appropriate graph is a distance time graph
So as to show the given information in a travel graph, we calculate the distances as follows;
Time [tex]{}[/tex] Location
08:00 [tex]{}[/tex] 0
08:00 + 13 = 21:00 [tex]{}[/tex] 13 × 60 = 780
21:00 + 0.30 = 21:30 [tex]{}[/tex] 780
21:30 + 2:00 = 23:30 [tex]{}[/tex] 780 + 50 × 2 = 880
23:30 + 1:00 = 0:30 (24: hours ) [tex]{}[/tex] 880
16:00 [tex]{}[/tex](40 hours from 0:00 the previous day)
Therefore, we have;
Location; 0, 780, 780, 880, 880, 0
Time; 08:00, 21:00, 21:30, 23:30, 24:30, 40:00
To show the distance traveled over the given time periods graphically, we let 00:30 = 24.30 and the arrival time (the next day) 16:00 = 40.00 hours after midnight (0:00) the previous day
Please find attached the required travel graph created with Microsoft Excel
b) The average speed of return journey = (Total distance of return journey)/(Total time)
The total distance going = 880 km
Therefore the return journey is also 880 km
∴ The total time taken on return journey Δt = (Time at arrival home) - (Time of start of return journey)
∴ Δt = 40 - 24.5 = 15.5
Δt = 15.5 hour
∴ The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h.
Avery deposited 1250 in a new savings account. Which amount is closest to the balance of the account at the end of three years
Answer: $1,467.80
Step-by-step explanation:
The formula for the future value given annual compounding is:
= Amount * ( 1 + rate) ^ number of years
The amount after 3 years at 5.5% is therefore:
= 1,250 * ( 1 + 5.5%)³
= 1,250 * 1.174241375
= $1,467.80
a and b are positive integers and a-b=2. Evaluate the following:
9^1/2b/3^a
Answer:
[tex] \frac{1}{ 9 }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]
The evaluation of the expression 9^((1/2)b)/3^a is 1/9
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
Now, for this case, we are given that:
a - b = 2
The expression is:
[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]
Since we know that [tex]3^2 = 9[/tex], thus:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]
Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]
Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9
Learn more about exponentiation here:
https://brainly.com/question/15722035
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140. What is the sale price of the tablet. A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140. What is the sale price of the tablet.
Answer:
$98
Step-by-step explanation:
Tablet
Divide 185 by 10 to get 18.5, this is 10% of the price.
Since it is 30% off, it is 70% of the price.
Multiply 18.5 by 7 to get the sale price, $129.50
Camcorder
Divide 140 by 10 to get 14, this is 10% of the price.
Since it is 30% off, it is 70% of the price.
Multiply 14 by 7 to get the sale price, $98
see image
thanks so much!!!
it’s about dilations
Using the pattern, give the coefficients of (x + y)^5 and (x + y)^6
Answer:
6,y,5,
5,7,1,9,0 ok
tjis is a anwers
Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
help ? im bad at math lol-
Answer:
c) 6 ft
Step-by-step explanation:
3^2+5^2 = 9+25 = 34
sqrt34 = approx 6
The sum of two numbers is 52 . The larger number is 2 less than twice the smaller number .What are the numbers
Answer:
35.34 and 16.66
Step-by-step explanation:
Given data
let the numbers be x and y
the smaller number = x
the larger number = y
x+y=52--------1
The larger number is 2 less than twice the smaller number
y=2x-2-------2
put y= 2x-2 in eqn 1
x+2x-2=52
3x-2=52
3x=52-2
3x=50
x= 50/3
x= 16.66
put x=16.66 in eqn 1 to find y
x+y=52
16.66+y= 52
y=52-16.66
y= 35.34
Hence the numbers are
35.34 and 16.66
Check
35.34+16.66= 52
» Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. D *) What is the total change in Quinn's score?
Answer:
-60
Step-by-step explanation:
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
The fare for taxi journeys in a certain town is $2.00 plus $1.00 for each kilometre. Using this information, estimate: (i) The fare for a journey of 3.5 km. (ii) The distance travelled if the fare was $6.00
Answer:
Step-by-step explanation:
Since the journey initially costs $2 (this will be our y-intercept), and the variable (x) is $1 for every additional kilometer. This can be modelled as...
y=1x+2
(i) if we want to know the cost of what 3.5 km would cost, we simply plug it into our equation...
y=1(3.5)+2
Answer: $5.5
(ii) For this question you can set the y value equal to 6 and plug in a random number for x until you get 6 on both sides. In this case...
6=1x+2
6=1(4)+2
The distance traveled if the fare was $6 is 4km
I hope this helps you! When I was younger I used to use this site for help and now I'm paying it forward!
Please please please please please please answer question y<-1/3x+2?
Answer:
Please see the attachment, none of the graphs you showed was correct.
Step-by-step explanation:
Hope it helps :)
Jamal has 16 marbles. Zing has 9. How many fewer marbles does Zing
have than Jamal?
Answer:
7
Step-by-step explanation:
16 - 9 = 7
Answer:
7
Step-by-step explanation:
16-9=7
DhhdhcdchxKhkkjdchjcjjdhc
1-cosx/1+cosx=secx-1/secx+1
Verify the identity. I tried all identities that I could, but could not find how it worked. Can you show me how to verify with all steps?
I usually do not ask on brainly, but I've tried everything else and still got nothing.
Currently in Algebra 2 and in the 9th grade.
Answer:
Sorry cannot help you, I'm only in year 8 (7th grade if I'm correct), and am horrible at Algebra. I'm sorry :(
BRAINLIEST
a. 7 sqrt of 2
b. 14
c. 7
d. 7 sqrt of 3
Answer:
(a). 7√2
Step-by-step explanation:
5. A right triangle has a hypotenuse that is 13 cm and a leg that is 4 cm.
Determine the length of the unknown leg. Round to the nearest tenth.
Answer:
ok so square 13 cm, and square 4 cm. then you will add those together then take that number and find the square root plz mark brainliest
x(x+7)=0
how do you solve this?
Answer:
x=0,-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.
please help :-( !! What is the scale factor of the dilation shown? Round your answer to 2 decimal places if necessary.
Answer: Scale factor is 1.5
Step-by-step explanation:you get scale factor e.g F'G' : FG= 12:8 =1,5
two three digit numbers are formed using the same integers and then when they are added they form another three digit number with the same integers find the added number
Answer:
I just cannot find it, so I appologize to the author. ... 2. Sum of all the numbers which can be formed by using the digits (repetition being ... Same is true for the other two digits. ... One more tip: when we add up all the numbers, we can start with the ... (1+5+8)/3 * 111 - another way to write 3-digit number formed from "average
Step-by-step explanation:
What is the domain and range for function A?
Answer:
Domain → (-∞, ∞)
Range → (-∞, 5)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Function A is a quadratic function (in the form of a parabola) opening downwards.
This function is defined for every input value from negative infinity to positive infinity.
Therefore, domain of the given function A is (-∞, ∞).
Similarly, y-values (output values) vary from negative infinity to 5.
Therefore, range of the given quadratic function will be (-∞, 5).
pls helpppppppppppppppppppppp
Answer:
∠A = 6x + 4
Step-by-step explanation:
Hello There!
We are given the exterior angle ∠ACD and an interior angle ∠B
If you didn't know this is the rule for exterior angles of a triangle:
An exterior angle is equal to the sum of its opposite interior angles
so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)
So with the information that we are given we plug them into their corresponding angle
then we would have
8x+5 = ∠A + 2x + 1
now we solve for A
Well how do we solve for A?
Well we have to isolate the variable
To do so we want to get rid of 2x + 1
We do that by subtract each side by 2x and 1
8x + 5 - (2x + 1 ) = 6x + 4
we're left with
∠A = 6x + 4
2(10+p)−20<140 what the answer
Answer:
p<70
Step-by-step explanation:
Answer:
p < 70
Step-by-step explanation:
2(10 + p) - 20 < 140
20 + 2p - 20 < 140
2p < 140
p < 70
Solve for a
a³ = 100
Answer: 4.641588833612779
Step-by-step explanation:
By using a calculator I was able to find the question answer. I am hoping this was the answer you needed. I hope I helped! :)
Drum Roll Please
Our school band is selling sweatshirts and t
shirts to raise money. The goal is to raise
$1200. The sweat shirts cost $12.50 and will
be sold for $15. The shirts will cost $6.50
and be sold for $8.
a) Write a function to describe the
number of shirts and sweatshirts the band can sell to reach their profit goal.
Explain your reasoning.
WHAT IS THE RANGE FOR THIS GRAPH?
PLEASE HELP
Answer:
[0,5] or 0≤ y≤ 5
Step-by-step explanation:
Not 100% certain but all the values are included even though there is an open circle
Solve the 4 letter code please I need it before midnight, it's not a word.
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
And expression is shown below f(x)=2x^2-x-10 party what are the X intercepts of the graph of f(x) show your work part B is the vertex of the graph of f(x) going to be a maximum or minimum what are the coordinates of the vertex justify your answer in show your work part C what are the steps you would use to graph f(x) justify that you can use the answer is obtained in part a and part B to draw the graph
Answer:
3
Step-by-step explanation:
If C = q^2-2+q and D = 3q^2+2q, find an expression that equals 3C - 3D in standard form.
Please help ;-;
Answer:
- 9q² - 3q - 6
Step-by-step explanation:
3C - 3D
= 3(q² - 2 + q) - 3(3q² + 2q) ← distribute parenthesis
= 3q² - 6 + 3q - 9q² - 6q ← collect like terms
= - 9q² - 3q - 6
The required expression is - 9q² - 3q - 6 which equals 3C - 3D in standard form.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question as follows:
3C - 3D ....(i)
We have to determine the resultant expression that could represent the standard form.
As per the question, we have the equations
C = q² - 2 + q and D = 3q² + 2q
Substitute these equations into the expression (i):
3(q² - 2 + q) - 3(3q² + 2q)
Apply the distributive property of multiplication,
3q² - 6 + 3q - 9q² - 6q
Combine the likewise terms in the above expression,
- 9q² - 3q - 6
Thus, the resultant expression is - 9q² - 3q - 6.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
The diameter of a compact disc is 12 centimeters. What is the approximate circumference of the compact disc? 37.69 cm 75.39 cm 113.09 cm 452.38 cm
Answer:
37.69cm i might be wrong, u gonna have to check
Step-by-step explanation: