Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.
8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Answer:
a and b
Step-by-step explanation:
Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?
Answer:
12 cups
Step-by-step explanation:
A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential growth of the population.
Answer:
FV= 200*(1.07^n)
Step-by-step explanation:
Current population= 200 deer
Growth rate= 7% per year
To calculate the future value of deer in any given years, we need to use the following formula:
FV= PV*(1+g)^n
FV= future value
PV= present value
g= growth rate
n= number of years
FV= 200*(1.07^n)
For example, the population in 5 years:
FV= 200*(1.07^5)
FV= 281
Write the 1st, 2nd, 3rdand 18thterms for: A) Un= n2 + 4 B) Un = 6n + 5
Answer:
(a) [tex]U_1 =5[/tex]; [tex]U_2 = 8[/tex]; [tex]U_{18} = 328[/tex]
(b) [tex]U_1 = 11[/tex]; [tex]U_2 =17[/tex]; [tex]U_{18} = 113[/tex]
Step-by-step explanation:
Required
1st, 2nd and 18th terms
To do this, we simply substitute 1, 2 or 18 for n in the given equations
Solving (a):
[tex]U_n =n^2 + 4[/tex]
1st term: n = 1
[tex]U_1 =1^2 + 4[/tex]
[tex]U_1 =1 + 4[/tex]
[tex]U_1 =5[/tex]
2nd term: n = 2
[tex]U_2 = 2^2 + 4[/tex]
[tex]U_2 = 4 + 4[/tex]
[tex]U_2 = 8[/tex]
18th term: n = 18
[tex]U_{18} = 18^2 + 4[/tex]
[tex]U_{18} = 324 + 4[/tex]
[tex]U_{18} = 328[/tex]
Solving (b):
[tex]U_n = 6n + 5[/tex]
1st term: n = 1
[tex]U_1 = 6*1 + 5[/tex]
[tex]U_1 = 6 + 5[/tex]
[tex]U_1 = 11[/tex]
2nd term: n = 2
[tex]U_2 = 6*2 + 5[/tex]
[tex]U_2 =12 + 5[/tex]
[tex]U_2 =17[/tex]
18th term: n = 18
[tex]U_{18} = 6*18 + 5[/tex]
[tex]U_{18} = 108 + 5[/tex]
[tex]U_{18} = 113[/tex]
Find the unit rate please
Answer:
1 --> 26
5 --> 130
11 --> 286
24 --> 624
40 --> 1040
Step-by-step explanation:
to find unit rate divide 78 by 3 and you get 26 gallons, which means you can drive 26 miles with one gallon.
To find the amount of gallon for a certian number of miles, simply divide the number of miles by 26. Ex. 130/26 = 5 gallons
Answer:
Step-by-step explanation:
Can someone plzzz helppp meeee( don’t say click this link)
Answer:
22
Step-by-step explanation:
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
So...
0=31 divided by 22
0
22 remainder
0=22
22 is the arc's central angle.
:D
(2/9v)−(−1/3v+5/9) simplified
Answer: (5/9)(v – 1)
Hope this helps!
Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width x^2+4. What expression represents the area of the garden so that she knows how much soil to purchase? plsss helppp!!!!!!!!!!!!!
Answer:
A = (5x - 1) (x^2 + 4)
Step-by-step explanation:
Area = length × width
= (5x - 1) (x^2 + 4)
find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
answer is A ok my friend bye
I need help in mathematics
Answer:
B. 75.36 cubic cm
Step-by-step explanation:
We will use the formula V=π times r² times h
so, V= 3.14 times 2² times 6
so, V= 3.14 times 4 times 6
= 3.14 times 24
=75.36 cubic cm
Please mark me as brainliestPlease help I need this ASAP!
Answer:
41 1/5
Step-by-step explanation:
2 3/5 x 7 = 18 1/5
5 3/4 x 4 = 23
18 1/5 + 23 = 41 1/5
Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa ao redor da Terra, qual a sua velocidade média em m/s (metros por segundo)
Answer:
7.8. 10 ^ 3 m / s
Step-by-step explanation:
The computation of the average speed in m/s is shown below:
The average speed equation is
= ΔS ÷ Δt;
As We know that
an entire revolution would be40,000 km
and a satellite takes 85 minutes to complete a revolution,
So,
ΔS = 40,000 km = 40,000,000 m
Δt = 85 min = 5 100 s
Now the average speed is
= 40 000 000 ÷ 5 ÷ 5 100
= 7843.14 m / s
= 7.8. 10 ^ 3 m / s
STEP BY STEP EQUATION PLZ!
Mitch and Tom are playing a video game. Mitch has eight less than triple the points that Tom has. If Mitch has 79 points, how many points does Tom have?
Answer: 23 2/3 points
Step-by-step explanation:
First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.
We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.
i'll pay someone to do my math <3
I would like to be paid, then xD
please help me i need it fast
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
can someone help me simplify this?
Answer:
sinB
Step-by-step explanation:
Using trigonometric sum/difference rule -
we can expand the expression to
= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA
= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB
= cos^2(A)sinB + sin^2(A)sinB
= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)
= (1 * sinB)
= sinB
Part C: If HI = 7, find KL. Show your work.
Answer:
KL= 14
Step-by-step explanation:
4*2=8
5*2=10
7*2=14
Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4
Answer:
-(14 - 7x)
7(x- 2)
3x - 14 + 4x
these are correct
Natalie invests $6,000 into a brokerage account which earns 5% per year. In 10 years, how much will Natalie's investment be worth if interest is compounded continuously? Round to the nearest dollar.
Answer:
63076.27
Step-by-step explanation:
William bought a new storage box to hold all of her fishing supplies. His box measures 13 1/7 inches long, 7 2/5 inches wide, and 4 3/4 inches tall.
Answer:
461.97 in³
Step-by-step explanation:
Given the following measurement for the dimension of a box : 13 1/7 inches long, 7 2/5 inches wide, and 4 3/4 inches tall.
The volume of a box is calculated using the relation :
Volume = Length * width * height
Volume = 13 1/7 * 7 2/5 * 4 3/4
Volume = 92/7 * 37/5 * 19/4
Volume = (92*37*19) / (7*5*4)
Volume = 64676 / 140
Volume = 461.97 in³
What is the Range of the function
Answer: Pretty sure its A.
Step-by-step explanation:
last math question for today!!!!
Answer: Maybe search it up?...I cant rlly see what the question says
Step-by-step explanation:
Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.
Answer:
Liability insurance
Step-by-step explanation:
Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.
7m+9, for m=2.
What's the value of this equation
Answer:
replace m with 2 and do 7(2)+9
hii please help i’ll give brainliest
Answer:
B) 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please resolve this is for today
Answer:
A Square plus B square equals
Step-by-step explanation:
T
Make a the subject of the formula v=u+at
Answer:
a = (v - u)/t.
Step-by-step explanation:
v = u + at
v - u = at
(v - u)/t = a.
Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
its a btw
The option that describes the solutions of the equation is A. Since 7 and 11 are both rational, the sum and difference are rational.
How to explain the equation?An equation simply means a statement that the values of two mathematical expressions are equal.
In this case, the solutions of the equation is that since 7 and 11 are both rational, the sum and difference are rational.
Learn more about equations on:
https://brainly.com/question/297232
In the school courtyard, there is an area
with
grass and an area with stones. The space for
stones is composed of a square and an
isosceles triangle. What is the area of the
grass?
Card
#6
Grass
17
44 m
12 m
25 m
Checked by Teacher
Final Answer
(Include Units.)
Answer:
Step-by-step explanation: