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:
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
In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor. Ifcandidate A received 550/0 of the votes, how many votes did candidate B receive? 1) 186 2) 837 3) 1,023 4) 1,805
Answer:
[tex]1860 - 550 = 1310 \\ = 1310[/tex]
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
(2/9v)−(−1/3v+5/9) simplified
Answer: (5/9)(v – 1)
Hope this helps!
24 is what percent of 48
Answer:
11.76
Step-by-step explanation:
j
Johnny starts run at the 2 mile mark and runs 4 miles per hour. Javier starts at the 6 mile mark and runs 2 miles per hour. How long until Johnny catches up with Javier?
Answer:
2 hours
Step-by-step explanation:
Construct a binomial whose greatest common factor is 2a^3
A.9a^4+3a^2
B.8a^4+3a^2
C.8a^4+10a^3
D. 9a^4+10a^3
Answer:
C
Step-by-step explanation:
The greatest common factor of 8 and 10 is 2
The greatest common factor of a^4 and a^3 is a^3
The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.
What is greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.
Given the a³ is not common in A and B they are wrong
C. 8a⁴ + 10a³
common factors of 8 and 10 is 2
so 8a⁴ + 10a³ has factors 2a³
Hence option C is correct.
Learn more about greatest common factor;
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what is the rate of change of the function y=-4x+2
NEED HELP ASAP!!!!!!! PLEASE
Answer:
The rate of change is -4
Step-by-step explanation:
In slope intercept form the m value is the rate of chane/slope
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
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
Write two numbers that multiply to the value on top and add to the value on the bottom.
Answer:
6 and 2
Step-by-step explanation:
6 times 2 is 12 and 6 plus 2 is 8
Anson's toy rocket is shown. What is the volume of the rocket? Round to the nearest tenth if necessary.
Answer:
The answer is below
Step-by-step explanation:
The rocket is made up of square pyramid and a rectangular prism. Hence the volume of the rocket is the sum of the volume of the square pyramid and the volume of the rectangular prism.
Volume of square pyramid = a²h/3
a = base length = 1.1 in, h = height of pyramid = 2.1 in
Volume of square pyramid = a²h/3 = 1.1² * 2.1/3 = 0.847 in³
Volume of rectangular prism = length * breadth * height = 1.1 * 1.1 * 8.2 = 9.922 in³
Volume of rocket = volume of prism + volume of pyramid = 0.847 + 9.922 = 10.769 in³
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.
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.
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:
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]
Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP
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 brainliestplssss help. I have no idea how to do it its due today
Answer: X=23
<u is 75
< v is 29
<w is 76
Step-by-step explanation:
< u + < v +< w = 180
<w + 3x+35 = 180
so 3x+35= <v+ <u
3x+35=x+52+x+6
3x+35= 2x+58
x+35=58
x= 23
so each angle
U= (23+52)= 75
V= (23+6)= 29
W=180-75-29= 76
or 3(23)+35+w=180
104+w=180
w= 76
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
Please resolve this is for today
Answer:
A Square plus B square equals
Step-by-step explanation:
T
please help me i need it fast
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
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:
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
Help Me Now! What is the rate of change for Funtions 1 and 2.
Function 1 Answer: 45
Function 1 Explanation: The rate of change (ROC) is basically the same thing as the slope of a graphed function. If you were to graph this table onto a coordinate plane, the slope of the line formed would be 45. (see Function 2 Explanation for more explanations, duh.)
Function 2 Answer: 40
Function 2 Explanation: Functions can be written in slope-intercept form, like this: y = mx + b. The m is the slope, or ROC (above), and the b is called the y-intercept, or where the line crosses the y-axis. The m in that equation is 40...
Hope that helps!! Sorry that took so long...
Find the p and q that produce the Pythagorean triple (12, 16, and 20)
hii please help i’ll give brainliest
Answer:
B) 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
7m+9, for m=2.
What's the value of this equation
Answer:
replace m with 2 and do 7(2)+9
Yoon buys a box of markers for $2.85 but he has a coupon for 20% off how much does he save with the coupon
Answer:
$0.57
Step-by-step explanation:
20% of $2.85 =
= 0.2 * $2.85
= $0.57
2.85 x 0.2 = 0.57
Yoon saves 57 cents