Answer:
199.8 km to the 1 decimal point
Step-by-step explanation:
8:36 to 9:00 is 24 min
9:00 to 10:00 is 60 min
10:00 to 10:57 is 57 min
That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.
d = rt = 141/60(85) = 199.8 km to the 1 decimal point
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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The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?
Answer:
-2Step-by-step explanation:
We see on the graph:
f(7) = 2f(8) = 0Average rate of change:
(f(8) - f(7))/(8 - 7) =(0 - 2)/1 = -2Triangle LMN has vertices at L(0, 0), M(0,4), and N(-3,0). The triangle will be rotated 270° counterclockwise about the origin. What will
be the coordinates for point N'?
A (-3,0)
B. (0,-3)
C (0, 3)
D (3, 0)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the mirror reflection.
Since the image of triangle is reflected along Y-axis,hence the coordinates of N after 270° rotation are
N ==> ( 3,0)
===> Option D.) is correct
Answer:(3,0)
Step-by-step explanation:
D
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
1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.
Answer:
C) football's height after 3 seconds
Step-by-step explanation:
If you invest $35,000 into an account that gets 9% interest compounded monthly, how much would you have
in your account after 10 years?
Answer:
$1084545551
Step-by-step explanation:
We have:
$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551
The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?
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.
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:
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...
Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP
PLEASE HELP !! DUE SOON :(
Answer:
-3
Step-by-step explanation:
Nearest unit tho will be -0 i think
what is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Answer:
5760 mm
Step-by-step explanation:
just multiply lol
The next term in the sequence 15, 12, 8, 3
Answer:
I think the answer is 17
Step-by-step explanation:\
The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.
I hope this helps :)
24 is what percent of 48
Answer:
11.76
Step-by-step explanation:
j
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
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
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
plssss 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
Find the surface area
please show work
363 inch²
Step-by-step explanation:
Each vertical face is a rectangle.
Area of each face = length x breadth
= 8 x 6 inch² = 48 inch²
There are 5 such faces, total area = 5 tiimes of 48 inch² = 240 inch²
For horizontal faces:
Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). With base 6 inch & height 4.1 inch.
For 2 such faces, you have 2 x 5 times of area of 1 ∆.
Area of 10∆s = 10 ( ½ x 4.1 x 6) = 123 inch²
Total area = area of horizontal surfaces + area of vertical surfaces
Total area = 240 + 123 inch² = 363 inch²
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]
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
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:
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.
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.
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find the area calculate the area of the composite figure
Answer:
84 Sq in
Step-by-step explanation:
area of the composite figure = Area of square + Area of triangle
[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]
Find the p and q that produce the Pythagorean triple (12, 16, and 20)
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:
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
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer:
I think its 2/9 but im not sure worth a try doe