Elijah’s home is 1.1km from the library
His journey from his home to the library, including a 2 minute stop on the way, is shown on the
graph below.
How much faster was Elijah travelling before his stop than afterwards?
Give your answer in km/h.
Answers
Elijah was travelling before his stop than afterwards with speed of 0.5 km/h.
What is formula to calculate speed or velocity?To solve for distance use the formula for distance d = vt, or distance equals speed times time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour.
Before his stop, the velocity =[tex]\frac{0.4km}{0.1 h}[/tex]
= 4 km/h
After his stop, the velocity =[tex]\frac{2.7km}{2.2 h}[/tex]
= 3.5 km/h
So, 4-3.5 km/h= 0.5 km/h
Elijah was travelling before his stop than afterwards with speed of 0.5 km/h
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Related Questions
18 bracelets in 3 hours
Answers
Answer:
= 6 items per hour
Explanation:
This is a fraction equal to 18 items ÷ 3 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3
18 items ÷ 3
3 hours ÷ 3
= 6 items/1 hour
= 6 items/hour
= 6 items per hour
Solve both please thanks
Answers
Answer:
4.a
5.b
Step-by-step explanation:
In question 4, the shape and width of the origin must be negative, which is the only *a*
slop
The slope of the line comes before x
Joanna ate 3/7 of a pizza . Michael ate 2/7 of the pizza
How much pizza did joanna and Michael eat altogether
Answers
Answer:
5/7
Step-by-step explanation:
3+2 is 5 over the same denominator because that's how many slices of pizza there are
Isolate w for the literal equation P=2w + 21
Answers
Answer:
w = [tex]\frac{P-2i}{2}[/tex]
Step-by-step explanation:
P = 2w + 2i ( subtract 2i from both sides )
P - 2i = 2w ( isolate w by dividing both sides by 2 )
[tex]\frac{P-2i}{2}[/tex] = w
Which name does not apply to the angle pair that is shown.
Answers
Answer:
A. Vertical
Step-by-step explanation:
B. applies because the angles are next to each other, so they are adjacent.
C. applies because these angles add up to 180, so they are supplementary.
D. applies because they are 90° angles, so they are right angles.
So, in the end, the one that is left, and does not apply, is vertical.
Answer:
The answer is A.
Step-by-step explanation:
B: 1 and 2 are adjacent angles as they are adjacent to one another in the figure.
C: 1 and 2 are also supplementary angles because they add up to 180 degrees (90 degrees + 90 degrees).
D: 1 and 2 are also right angles, which is shown in the figure.
However, 1 and 2 are not vertical angles because they are not opposite to one another along the intersection of the lines.
Edwin was evaluating the expression below when a = 3 and b = -6
Answers
Answer:
D
Step-by-step explanation:
[tex] {3}^{2} - 18 + 4( - 6) \\ 9 - 18 + ( - 24) \\ - 9 + ( - 24) \\ = - 33[/tex]
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Evaluate the expression a²-18+4b when a=3 and b=-6
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Substitute 3 in lieu of a and -6 in lieu of b:-
(3)²-18+4(-6)
9-18+4(-6)
On further simplification,
9-18-24
[tex]\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{-33}}}}\dashleftarrow[/tex]
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Help please it’s due today
Trigonometry in baseball
identify a major league ballpark in which the distance from home plate to the center field
fence and the height of the center field fence require that a ball hit 2 ft above the ground will
necessitate an angle of elevation less than 0.86 to just clear the center field fence. The
ballpark you will identify today is known as "Comersia Park "aka the home of the Detroit
tigers. The distance between the Homeplate to the center field fence is 420 ft. however the
center field fence height is 9ft. make sure to find out the elevation and velocity?
Answers
Answer:
first off the park you've listed is no match for the fact its more then 0.86.
Step-by-step explanation:
[tex]tan^{-1} (\frac{7}{420} )\\\\= arctan (\frac{7}{420} )\\\\= arctan (\frac{1}{60} )\\= 0.95[/tex]
so basically it equals 0.95°
which basically means 0.86 < 0.95.
When Maddy was born, her aunt opened a certificate of deposit in her
honor to help send her to college some day. Now at the age of 18, there is
$39,322 in Maddy's account. How much did her aunt originally invest if
the interest rate was 5.5%? Round to the nearest dollar.
Answers
Given the final amount of money available in Maddy's account, the interest rate and the time elapsed, the initial money her aunt invested was $15,000.
What is an interest in banking?Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formular for calculating compound interest is expressed as;
A = P(1 + r/n)^(n*t)
Where A is final amount, P is initial principal balance, r is interest rate, n is number of times interest applied per time period and t is number of time periods elapsed.
Given the data in the question;
Interest rate r = 5.5% anuually = 5.5/100 = 0.055Final amount A = $39,322 Time r = 18 yrsInitial principal balance P = ?We substitute our given values into the expression above.
$39322 = P(1 + 0.055/1)^(1*18)
$39322 = P(1 + 0.055)^(18)
$39322 = P(1.055)^(18)
P = $39322 / (1.055)^(18)
P = $39322 / 2.621466
P = $15,000
Therefore, given the final amount of money available in Maddy's account, the interest rate and the time elapsed, the initial money her aunt invested was $15,000.
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On March 8, 2017, one South African rand was worth 0.08 U.S. dollars.
(a) On that date, how many dollars was 175.89 rand worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rand was 56.65 dollars worth?
Round your answer to the nearest hundredth of a rand.
rand
Answers
Using proportions, it is found that the conversions are given as follows:
a) 175.89 rands were worth $14.07.
b) 56.56 dollars were worth 708.13 rands.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have the following proportion:
1 rand - 0.08 U.S. dollars.
Item a:
175.89 x 0.08 = $14.07, hence:
175.89 rands were worth $14.07.
Item b:
56.65/0.08 = 708.13, hence:
56.56 dollars were worth 708.13 rands.
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A topic or recent clinical interest is the possibility of using drugs to reduce infarct size is patients who have myocardial infarction within the past 24 hours. Suppose we know that in untreated patients the mean infarct size 25 (ck - g-EQ/m). Furthermore, in 8 patients treated with a drug the mean infarct size is 16. Suppose σ = 10 . Is there statistical evidence the drug is effective in reducing infarct size?
Answers
Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.
How to find hypothetical Evidence?Let us first define the hypotheses;
Null Hypothesis; H₀: µ = 25
Alternative Hypothesis; H₁: µ < 25
Standard Deviation; σ = 10
Sample mean; x' = 16
Sample size; n = 8
z-score is;
z = (16 - 25)/(10/√8)
z = -2.55
From online z-score table, the p-value is 0.005
Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.
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what is the slope of (-2,-5) and (-4,-2)
Answers
Answer:
Slopem=−32
As a decimal:
m = -1.5
Step-by-step explanation:
Please help!! Will give brainliest if it’s the correct answer
Maggie wants to buy a car for $24,500. If she puts a down payment of $4,000 down, she will have to take out a loan for the rest of the money with an interest rate of 5.1% and pay it back over 6 years (72 months). How much will Maggie pay each month on her loan?
$299.24
$284.79
$340.27
Answers
Answer:
It's A I think
Step-by-step explanation:
hope this helps
Answer:
299.24
Step-by-step explanation:
take away the down payment from the total. multiply the interest rate then add it to the total. Then divide it by 6 to see how much she pays a year. then divide by 12 for monthly payments
Question 14 of 15
What are the domain and range of the inequality ?
Answers
Answer:
we see that x must be greater then 3 and y which is the domain must be greater then 5 for the inequality to be true.
so option D is the correct option.
let me know if you need any more help!
Arianna invests $5,000 into the stock market which earns 9% per year. In 30 years, how much will Arianna's investment be worth if interest is compounded continuously?
Answers
$69399
[tex]\bold{EXPLANATIONS:}[/tex]
Find the surface area of each figure. Round to the nearest hundredth when necessary Please quick and real answers
Answers
The total surface area of the cone is 542.592 square mm
Total surface area of a coneThe formula for calculating the total surface area of a cone is expressed as:
TSA = πr(r + l)
where
r is the radius of the cone
l is the slant of the cone
Given the following parameter
l = 13.6mm
r = 8mm
Substitute
TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)
TSA = 542.592 square mm
Hence the total surface area of the cone is 542.592 square mm
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Please help !!! 50 points!!!!!!
Answers
Step-by-step explanation:
I could not see the entire question
if the question was 6√5²×6√5³×6√5⁴
the answer would be 5√5
if the question was 6√5²×6√5³×6√5
without exponent 4
5²×5³×5=15625
6√15625
the answer will be 5
Mathematics question ok
Answers
Answer:
3
Step-by-step explanation:
to find the volume of a rectangular prism, Volume = length x height x width
Volume is 45 units (given)
length is 5 units (given)
45 = 5 x w x l
45 / 5 = w x l
9 = w x l
only 3 x 3 = 9 works with these numbers
45 = 5 x 3 x 3
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week?
Answers
Answer:
55
Step-by-step explanation:
i need help with this question please
Answers
Answer:
A polyhedron with 6 faces and 8 vertices has 12 edges.
Step-by-step explanation:
Euler Formula is given in the problem:
F + V = E + 2We are told that the polyhedron has 6 faces (F = 6) and 8 vertices (V = 8). The only unknown variable in Euler's Formula now is E = number of edges.
Substitute the known variables into the formula and solve for E.
6 + 8 = E + 2 14 = E + 2 12 = E E = 12A polyhedron with 6 faces and 8 vertices has 12 edges.
Number of faces = 6
Number of vertices = 8
Formula used:
Euler's formula:
F + V - E = 2
F = Number of Faces of Polyhedron
V = Number of Vertices of Polyhedron
E = Number of Edges of Polyhedron
Calculations:
Let the polyhedron have E edges,
6 + 8 - E = 2
14 - E = 2
E = 14 - 2
E = 12
Therefore:
The Polyhedron has 12 edges
1. List the variable costs for one of your company's products or services, with a cost estimate for each variable cost. If you have more than one product or service, choose one of them. (3.0 points)
For example, the variable costs for a company that makes t-shirts and ships them to customers might look like this:
T-shirts--$6 each
Paint--about $1.25 per shirt
Labor--about $3 per shirt (because workers earn $9 per hour and can make 3 shirts per hour, or because workers are paid by the shirt)
Shipping--$4 per shirt
2. Add the variable costs per unit to get the total cost of goods or services sold per unit. (1.0 points)
TIP: Your minimum selling price will have to be higher than this number. Next, you'll calculate fixed costs to find out how much higher it needs to be.
For example, the total cost of goods or services sold for the t-shirt company would be $14.25.
3. List the fixed costs for your company, with estimates for how much each cost will be per month. If some of your fixed costs are one-time purchases, like a computer or equipment, divide the total cost of the purchase by the number of months you expect to use the purchase. (3.0 points)
For example, the fixed costs for the t-shirt company might look like this:
Rent--$300 per month
Utilities (water and electricity)--$50 per month
Telephone and Internet service--$50 per month
Computer and printer--$1,200 total cost, divided by 60 months total expected use, is $20 per month
Office supplies--$25 per month
4. Add the fixed monthly costs to get the total fixed costs per month. (1.0 points)
TIP: Now you know that your minimum selling price has to be high enough to cover these fixed costs too. You'll calculate your break even point next.
For example, the monthly fixed costs for the t-shirt company would be $445.
5. Calculate the selling price you would need in order to break even if your company sold 100 units of your product or service, using the steps below.
a. Divide your total monthly fixed costs (from question 4 above) by 100. This is the total fixed cost per unit. (1.0 points)
For example, for the t-shirt company, this is $445 divided by 100, which is $4.45.
b. Add the total fixed cost per unit (from 5a above) to the total cost of goods or services sold per unit (from question 2 above). This is the selling price you would need in order to break even if you sold 100 units per month. (1.0 points)
For example, for the t-shirt company, this is $14.25 plus $4.45, which is $18.70. This means the t-shirt company would need a selling price of at least $18.70 to break even if it sold 100 shirts.
6. Calculate the number of units you would need to sell in order to break even, using a selling price of your choice. Use the steps below.
a. Choose a selling price that is higher than your total cost of goods or services sold per unit (the amount from question 2 above) but that is different from the selling price from question 5b above. Pick a price you think is reasonable. (2.0 points)
For example, the t-shirt company might decide that it is reasonable to price the shirts at $20 instead of $18.70.
b. Subtract the total cost of goods or services sold per unit (the amount from question 2 above) from the selling price. This is the gross profit per unit. (1.0 points)
For example, the t-shirt company would take its $20 price and subtract $14.25, which leaves $5.75.
c. Divide the total monthly fixed costs by the gross profit from 6b above. This tells you how many units you must sell to break even. (1.0 points)
For example, the t-shirt company would take its $445 monthly costs and divide that number by $5.75, which is 77.4. The company would round that number up to 78, so it would have to sell 78 shirts per month at the $20 price to break even.
7. Describe two things you could emphasize about your product in order to help make it attractive to your target market. What makes you think these things matter to this target market? (2-8 sentences. 2.0 points)
8. Identify a competitor to your company and find out what their prices are for similar products or services. Do you want your prices to be higher, lower, or the same as your competitors? Why? (2-6 sentences. 2.0 points)
9. Will your company use cost-based markup, or retail-based markup? Why? (2-5 sentences. 2.0 points)
10. Do you think the demand for your product will be elastic or inelastic? Why? (2-5 sentences. 2.0 points)
11. Describe at least one pricing strategy you will use and explain why you think it will be effective. (2-5 sentences. 3.0 points)
Answers
Answer:
Variable costs are expenses that vary in proportion to the volume of goods or services that a business produces. In other words, they are costs that vary
Step-by-step explanation:
What is the value of n for the equation?
Answers
Answer:
n = -10
Explanation:
[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]
Factor the common term
[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]
Make the denominator same
[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]
Join the fractions
[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]
simplify the following
[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]
cross multiply
[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]
cancel out common term
[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]
exchange sides
[tex]\Rightarrow \sf 5n-4n=-10[/tex]
simplify
[tex]\Rightarrow \sf n=-10[/tex]
1/5 of a number is 100 .How much is 2/3 of the number
Answers
Answer:
66?
Step-by-step explanation:
Answer:
333.33
Step-by-step explanation:
If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.
500 * 2/3 = 333.33
simplify 2x + 3y - 5x + 7y
Answers
Answer:
[tex]-3x + 10y[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]2x + 3y - 5x + 7y[/tex]
[tex](2x - 5x) + (3y + 7y)[/tex]
[tex]-3x + 10y[/tex]
Answer: [tex]-3x + 10y[/tex]
2x -5x + 3y + 7y
2. Solve common terms:
-3x + 10 y
That is your answer. It cannot be simplified further due to the difference in variables.
Hope this helped.
PLEASE HELP EASY ASSIGNMENT ( Kami )
Answers
Answer:
? where is it
Step-by-step explanation:
Mrs. Li classroom is 24 ft wide and 40 ft long what is the area of the classroom
Answers
Henrietta’s family is on a road trip from new york city to los angeles ca they have set a goal of reaching the 1,500 mile mark half way across the country by the end of the day tomorrow. when they ended their driving today, they had travelled 1,322 miles, and averaged a speed of 60 miles per hour. if they want to meet their goal, how many hours do they need to drive for tomorrow (assuming they are going to go at the same speed of 60 miles per hour) write and solve an inequality to represent this situation.
Answers
Answer:
uhm can i see the formula for the question?
Step-by-step explanation:
Which of the following is a monomial?
O A. 4x
O B. 5x2 + 2x +3
3
O c.
oc
O D. X-1
Answers
Answer:
A. 4x
Step-by-step explanation:
Monomials are polynomials that have only one term, hence the prefix mono. Option A, 4x, is the only option with one term.
B has three terms, C has two terms, and D has two terms as well.
hope this helps!
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Which of the following is a monomial?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
4x
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
A monomial is defined as an expression with only one term.
4x is an example of a term; 5x²+2x is 2 terms (5x² and 2x)
Therefore, the monomial here is Option A. 4x
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Find the skope of a line passing through the points (-6,7) and (-8,5)
Answers
Answer:
Answer is in attachment
Mark brainliest :)
Angel buys 6 science books and 5 marth
books. Each science book costs 45.
All math books cost the same amount in total angel spends a total of 530 buying math
and science books. find the cost of one math book.
Answers
Answer:
52$
Step-by-step explanation:
6 x 45 = 270
530 - 270 = 260
260/5 = 52
The length, breadth and height of a cuboid bear the ratio 5:3:2 . If it's total surface area is 279 cm²,find it's volume.
Answers
Answer:
810 cm^3
Step-by-step explanation:
Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:
l = 5zb = 3zh = 2zWe know that,
Cuboid ( total surface area)= 2lb+2lh+2hb cubic unitsSo substitute the dimensions we assumed:
We could write it as;[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]
[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]
Find z[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]
[tex] \rm \implies {z}^{2} = 9[/tex]
[tex] \implies \rm \: z = \sqrt{9} [/tex]
[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]
Hence, according to the formula,
Cuboid V = lbhWe got the dimensions of the cuboid, i.e.
Then, solve.
Cuboid V = lbh15 cm * 9 cm * 6 cm810 cm^3Hence,the volume of the cuboid will be 810 cm^3