If the streetlights are spaced in the same way, there will be 48 streetlights on the 4-mile road.
How many streetlights would you expect on a 4-mile road?First, we know that there are 18 streetlights evenly spaced on a 1.5 mile road.
Then the space between consecutive streetlights is:
1.5mi/18 = (3/36) mi = (1/12) mi
Now, the number of streetlights that we will have on a 4-mile road is given by the quotient between the length of the road and the distance between consecutive streetlights, it is:
N = 4mi/(1/12 mi) = 12*4 = 48
There will be 48 streetlights on a 4 mile road.
Learn more about quotients at:
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find c and round to the nearest tenth. thank you in advance
Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.
[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]
29.4° is the answer.
can you solve it using a method? and show work
Answer:
There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.48g of 70g petcentage
Answer:
48/70 = 24/35 = 0.685714 = 68.57%
Answer:
48 acopf70 (eg)3 ( nt)2
Step-by-step explanation:
48 acopf70 (eg)3 (nt)2
The perimeter of a rectangular sheet is 100 cm. if the length is 35 cm, find its breadth. Also find the area.
Answer:
breadth: 15, area: 525
Step-by-step explanation:
Answer:
Breadth = 15cm
Area = 525cm^2
Step-by-step explanation:
We know that the perimeter of a rectangluar sheet is 100cm, and we know that the length is 35cm. We are then being asked to find the breadth and the area.
Use the information that we know to solve the breadth, get b alone :
Length = 35cm
2(l + b) = 100
Substitute :
2(35 + b) = 100
Divide 2 from both sides :
35 + b = 50
Subtract 35 from both sides :
b = 15cm
Now for the area :
Area = Length * Breadth
Substitute :
A = 35 * 15
A = 525cm^2
What percent of the shaded checker board squares have pieces?
PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
25%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total shaded checker board (T) = 32
Shaded checker board with pieces (S) = 8
Percentage of Shaded checker board with pieces =?
We can obtain the percentage of checker board with pieces as follow:
Percentage of Shaded checker board with pieces = Shaded checker board with pieces / Total shaded checker board × 100
= S / T × 100
= 8 / 32 × 100
= 25%
Therefore, percentage of Shaded checker board with pieces is 25%
find the are area of the square ABCD
Answer:
196 m2
Step-by-step explanation:
Answer:
The area of the square ABCD with side of 14m
is 196 m²
Step-by-step explanation:
Area = a*a = 14 x 14 = 196 m²
a is side
True or False Directions: Determine whether each statement below is correct or incorrect. Justify your response with a calculation, a description using complete English sentences, or a combination of both. If a statement is incorrect, make sure to include what the error is and state what the student should have done to evaluate the integral correctly in your explanation. All calculations must be done by hand and proper notation must be used. Correct responses with insufficient justification or that rely on technology will earn no credit.
A. [8 pts) Morgan claims that the improper integral * 4.re -2- dr converges to 1. esca 8
B. (8 pts] Avery is asked to compute dr and provides the following argument. (3 - 4.) 8 (3 - 4.0) (3 - 4.r) (-1) (3) lo dr =
Answer:
(A) true.
(B). False.
Step-by-step explanation:
(A). F(x) = 4xe^-2x.
Let's make the assumption that 2x = b -----------------------(1).
Therefore, taking the differentiation with respect to x, we have;
2x dx = db.
The next thing thing to do is to integrate, taking the upper limit to be infinity and the lower limit to be zero:
∫( b e^-b db).
Changing the Lim. infinity = 2.
= ∫( b e^-b db). ----------------------------(2).
The step (2) above can be solve with Integrations by part;
Lim. 2 ---> infinity [ b e^-b + ∫( 1 e^-b db|
( | = Upper boundary = 2 and the lower boundary = 0).
Lim. 2 ----> infinity [ 2 e^-2 - 0] - lim. 2 --> infinity [ 0 - 1].
Lim 2 ---> infinity [ 2/e^2 + 1].
Let 2/e^2 = j.
The, lim 2 ---> infinity j + 1.
To solve this, there is need to make use of L'hospital rule,
j = Lim 2 ---> infinity [ 1 /e^2] = 0.
Thus, j = 0. And 0 + 1 = 1.
(PROVED TO BE TRUE).
(B). Taking limit from 1 (upper) to 0( lower). Assuming that b = 3 - 4x.
Therefore, -4dx = db.
∫( 8 /(3 - 4x)^3 dx.
Taking the upper boundary = -1 and the lower boundary = 3.
∫ ( - 2db/ b^3.
= 2 ∫ ( - db/ b^3.
= 2 [ b^-3 + 2) / -3 + 1.
= 2 | - 1/ 2 db
= 8/9.
Not true.
which number can be placed in the box to the
1 x 0 < 7 /
multiplying a fractions that
we
multiplying a fraction by all sake the
tolgatan greater than the
Les resep vieg traction greater than it
Answer:
A
Step-by-step explanation:
For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.
This means any number we are going to use to multiply 7/5 must not be less than 1.
²/3 is less than 1.
Let's multiply and see:
⁷/5 × ⅔ < ⁷/5
14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)
Therefore, the answer is A.
a book which cost 300 naira was sold for 240naira.what was the loss percentage?
Answer:
20%
Step-by-step explanation:
Since the original price of the book is 300 naira...
100% = 300 naira
1% = 300 ÷ 100 = 3 naira
240 ÷ 3 = 80
Since 80% is the percentage of the price after the loss..
100 - 80 = 20%
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?
Answer:
ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki
Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD
Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.
Step-by-step explanation:
PLEASE HELP I AM STUCK
Answer:
Do the pythagor theorem and add 5
It's 65
7 times s increased by
2
Answer:
7s + 2 would be an expression
Answer:
7x+2? Or maybe 7x (x) 2
Step-by-step explanation:
Simplify
√(32x^3 y^4 )
Answer:
4xy^2√2x
Step-by-step explanation:
Answer:
4xy²[tex]\sqrt{2x}[/tex]
Step-by-step explanation:
√32x³y^4 can be broken down to:
√4√4√2√x²√y²√y²√x which can be simplified to be:
4xy²√2x
You roll a 6-sided die.
What is P(2)?
Write your answer as a fraction or whole number.
Answer: The probability of rolling a 2 on a 6-sided die is 1/6.
Step-by-step explanation:
The probability of getting 2 on the die P(2) is 1/6.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, We roll a six-sided die,
So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.
N(2) = 1
∴ The probability of getting the number 2 when we throw a die is
P(2) = N(2)/N(S).
P(2) = 1/6.
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What percent of the crimes in 2000 were robberies if robberies were 408,016, burglaries were 2,050,992, larceny was 6,971,590 and vehicle thefts were 1,160,002?
Answer:
3.9%
Step-by-step explanation:
Total number of crimes = 408016 + 2050992 + 6971590 + 1160002 = 10590600
percent of robberies = 408016/10590600 = .038526 ≅ 3.9%
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution (
,
) to the given set of equations?
Answer:
answer is (2,-4)
Step-by-step explanation:
I did it's process in next question
Regina earns 45 points every time she shops on a certain website. She needs a total of 2,880 points to receive a free item. So far, she has earned 540 points. How many more times will Regina have to shop on the website in order to earn the additional points she needs for a free item?
A.
18
B.
38
C.
52
D.
64
Answer:
C. 52
Step-by-step explanation:
You can simply subtract 540 from the total amount of points
2880-540=2340
and then you can divide that by the number of points she gets every time she shops on the website
2340÷45
Which would equal 52
So, C. 52 would be the correct answer.
Hope this helps!
Evaluate the function f(x) =x/2-5
For x=-3
F(-3)
What is the area of a rectangle with a length of yard and width of yard?
Answer: The formula for the area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.
Step-by-step explanation:
Hope This helps, Brainlees, please
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
24 biros
Step-by-step explanation:
12.50 naira = 1 biro
300 ÷ 12.50 = 24 biros
Answer:
24
Step-by-step explanation:
It's a ratio problem
Let B is Biro and N naira
B : N
1 : 12.5
x : 300
then x = 300 * (multply) 1 /12.5 = 24
I hope this is helpful to you
Select the letter for the correct answer
,
Answer:
a) 2
Step-by-step explanation:
4:8 and 6:12
4/8 and 6/12
we flip them since we want to find the conversino
8/4 and 12/6
simpilify
2 and 2
scale factor was 2
hope this helps, lmk if it is correct
Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count.
Imari saw 42 sparrows.
How many birds did he count in all?
Enter your answer in the box.
Step-by-step explanation:
step 1. 42 represents 35% of the birds.
step 2. 42/.35 = all of the birds counted.
step 3. 42/.35 = 120.
step 4. There are 120 total.
Answer:
120
Step-by-step explanation:
Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 4 11 15 30
Female 12 19 16 47
Total 16 30 31 77
If one student is chosen at random,
Find the probability that the student was male AND got a "A".
Answer:
id
Step-by-step explanation:
Answer:
0.052
Step-by-step explanation:
[tex]P=\frac{4}{77}=.052[/tex]
3(x - 5) = 15
Unknown variable
Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
7 19/22-1 8/11 how do you subtract fractions?
Sales tax is 7% How much tax will you have
to pay if you purchase a Microsoft - Xbox
One X 1TB Console for $495.99?
i am a number with the prime factorization of a cube of a certain number and a square of 5 if may product is 200 what is the cube of may other prime number
need help
Answer:
The other prime number is 2.
Step-by-step explanation:
Prime factorization of a cube of a certain number and a square of 5
The number we dont know is x, so we have:
[tex]x^3 \times 5^2 = 25x^3[/tex]
The product is 200. What is the other prime number?
So
[tex]25x^3 = 200[/tex]
[tex]x^3 = \frac{200}{25}[/tex]
[tex]x^3 = 8[/tex]
[tex]x = \sqrt[3]{8}[/tex]
[tex]x = 2[/tex]
The other prime number is 2.
Find the area of the triangle
The area is =
(Simplify your answer)
Answer:
52.5 yd²
Step-by-step explanation:
1/2(10)(10.5)=52.5
Help plzzzz helppp heppppdidjjdhjrbrbfnd meeee
Answer:
The large one
Step-by-step explanation:
If she used the WHOLE thing in the large one and HALF in the smaller one then that means there is more in the large one and that it is more choclete.
Answer:
The larger one!
Step-by-step explanation: