Answer:
(x²+16)(X+4)(x-4)
Step-by-step explanation:
x⁴ can be written as (x²)²
256 can be written as (16)²
by identity. a²-b²= (a+b)(a-b) :
(x²+16)(x²-16)
x²-16 can be written as (x)²- 4²
by identity. a²-b²= (a+b)(a-b) :
(X+4)(x-4)
Therefore, the factors altogether would be
(x²+16)(x+4)(x-4)
SPEED, DISTANCE AND TIME
please please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! emergency will give thanks
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
1. Speed = 18 miles per hour
2. The distance is 280 miles.
3. The average speed is 52.5 miles per hour.
4. The time to arrive in Leeds would be 11.50 am.
5. Time = 500 s (8 minutes 20 seconds)
6. speed = 48 miles per hour
b. time taken = 6 hours 40 minutes
Step-by-step explanation:
1. Distance = 90 miles and time = 5 hours
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{90}{5}[/tex]
= 18
average speed of the cyclist is 18 miles per hour.
2. speed = 70 mph, and time = 4 hours
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
= 70 x 4
= 280 miles
The distance is 280 miles.
3. distance = 315 miles, and time = 6 hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{315}{6}[/tex]
= 52.5
The average speed is 52.5 miles per hour.
4. distance = 210 miles, and speed - 90 mph.
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{210}{90}[/tex]
= 2 hours 20 minutes
The time to arrive in Leeds would be 11.50 am.
5. distance = 2000 m, and speed = 4 m/s.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{2000}{4}[/tex]
= 500 s
It would take the athlete 500 s (8 minutes 20 seconds) to cover the distance in the given speed.
6. distance = 420 miles, and time = 8 hours 45 minutes
But, 8 hours 45 minutes = 8[tex]\frac{3}{4}[/tex] hours.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{420}{8\frac{3}{4} }[/tex]
= 420 ÷ [tex]\frac{35}{4}[/tex]
= 420 x [tex]\frac{4}{35}[/tex]
speed = 48 miles per hour
(b) distance = 420 miles, speed = 63 mph.
time = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{420}{63}[/tex]
= 6 hours 40 minutes
time taken = 6 hours 40 minutes
In slope-intercept form, the equation of the line with a slope of 7 and a y-intercept of (0, -8) is ________
. Do not include spaces in your answer.
Answer:
y = 7x - 8
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 7
y-intercept b = -8
Step 2: Write Function
Substitute in parts.
y = 7x - 8
find the values of x and y in the diagram
Answer:
y=2, x=3
Step-by-step explanation:
We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3
Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98
Choose one of these numbers at random. Find the probability of the following results.
The sum of the number's digits is odd??
Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
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(4 + [8 = 4 X (3 - 1)] X 3) + 1
Answer:
29
Step-by-step explanation:
(4+[8=4x(2)]x3)+1
(4+[8=8]x3)+1
(4+[8x3])+1
(4+24)+1
28+1
29
Help me with this quick!
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
Inequality expressionInequalities are expression not separated by an equality sign, They can be used to solve real world problem as well.
The inequality signs are <, >, ≤ and ≥.
≥can be termed as greater than or equal to (This means at least)
≤can be termed as less than or equal to (This means at most)
Given the inequality expression 6g - 10≥ 35. According to Scotts' response as shown;
"Rudolph has at most $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the maximum number of booklet he can buy?"
This is wrong since $35 was the least amount Rudolph has not the maximum amount. The correct response should therefore be:
"Rudolph has at leasts $35 to spend at the carnival on Saturday. He spent $10 on lunch and ride tickets are $6 per booklet. What is the minimum number of booklet he can buy?"
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What is the definition of Spike protein?
Please helppp
Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes
Classify the angle.
What type is it.
What is the value of x? (5 points)
A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x
Find the coordinate of the x intercept
describe the graphs of x + 3y = 6 and 2x + 6y = 12
Explanation:
x + 3y = 9
2x + 6y = 12
First you check if the two equations are compatible, that is
if they are parallel, they must not intersect.
Parallel means they have the same slope, given by dy/dx in general, and in the case of linear equations by the ratio of the y coefficient to that of x, that is 3 for the first equation, and 3 for the second. Since these two equations are parallel, they are multiple of each other. Now where these straight lines intersect the axis y = 0, that is the x-axis, is the constant term on the right hand side. Try it
Put y = 0 you get x = 9, for the first equation, and y = 0, x = 6 for the second equation, This is geometrically impossible, and therefore algebraically too. So this problem has no solution
Explanation:
If I'm wrong or That I missed The Question and just missed read it then My Answer Might have been wrong correct me or sumn If Im wrong
(｡づ’▽’｡)づ♡ #CarryOnLearning
Solve B/3= 18
Please help
Answer:
[tex]b=54[/tex]
Step-by-step explanation:
Solve for [tex]b[/tex] by simplifying both sides of the equation, then isolating the variable.
Hope this helps :)
-ilovejiminssi♡
Answer:
B=54
Step-by-step explanation:
B/3=18
B=18×3
so, B=54
Ans
Gabby and Sam each ordered a small pizza. Gabby ate 3/8 of her pizza and Sam ate 1 slice of his pizza. If they ate the same Amount of pizza, which statement below is true about the pizza they ate
Answer:
small pizza
Step-by-step explanation:
1/2 gabby 1/2 sam
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
given f(x)=(x+5),findf(9)
0C.-196
Which expression shows a sum of three terms?
I will give the brainliest to the person so please answer!
A: 3x
B: 3+x
C: 3+x+9
D: x^3
Answer:
c shows 3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Has three different terms.
If 18% of your Biology class received an A, how many students were in your Biology class if 9 students earned an A for the semester?
Answer:
50 students
Step-by-step explanation:
hope this helps, have a great day!
What is the next term in this pattern 10, 8.9, 7.8, 6.7
Answer:
5.6
Step-by-step explanation:
You just have to keeps subtracting 1.1
can you gys help me with this, please with work on how to do them
Answer:
1a. 16
1b. 106
Not sure about the rest
Step-by-step explanation:
Arthur has 9 feet of rope in his garage, which is not enough for his next project. So, he went to the hardware store and bought 5 yards of rope. How many feet of rope does Arthur now have all together?
Answer:
9 x 5 = 45
Step-by-step explanation:
Multiply Binomials
(x + 3)(2x + 1)
Answer: 2x^2 + 7x + 3
Step-by-step explanation:
(x+3)(2x+1)
(2x^2+1x+6x+3)
2x^2 + 7x + 3
A recipe includes 9 cups of flour and three fourths
cup of milk. Write the ratio of the amount of flour to the amount of milk as a fraction in simplest form
Answer:
12/5
Step-by-step explanation:
9 : 3 3/4
9 : 15/4 change to improper fraction
36/4 : 15/4 LCD, 4
36 / 15 compare
12 / 5 reduce
P(t) =8000(1.08)^t
What is the year the population reaches 11755
Answer:
Step-by-step explanation:
Your answer
P(t) = 8000(1.08)^t= 11755
.. ..... (1.08)^t= 1.469375
........ t = 5
Mark it as Brainlist answer. Follow me.
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answer:
Left 3 down 4 is the correct answer so C
Answer:
B. right 3, down 4
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST
f(x) = {___ for ___
{___ for ___
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
Step-by-step explanation:
We observe that the left line segment has a rise of 3 for each run of 1. Its slope is ...
m = rise/run = 3/1 = 3
It goes through point (-2, 4), so its equation can be written ...
y = m(x -h) +k . . . . line with slope m through (h, k)
y = 3(x +2) +4 . . . . fill in known values
y = 3x +10 . . . . . . . simplify — equation of left line
__
The right segment has a rise of 2 for each run of 1. Its slope is ...
m = 2/1 = 2
Then the equation of the line through point (4, 1) is ...
y = 2(x -4) +1
y = 2x -7
__
Taking into account solid and open circles, the equation for the function is ...
[tex]f(x)=\left\{\begin{array}{ccc}3x+10&\text{for}&x\le -2\\2x-7&\text{for}&x>4\end{array}\right.[/tex]
A fair coin is flipped 10 times and lands on heads 8 times. Why is there a difference between the experimental and theoretical probabilities of observing 8 heads in 10 coin flips?
A.
Since the number of heads in the 10 coin flips is 8, the theoretical probability of observing a head in a coin flip increases from 0.5 to 0.8.
B.
Since 10 is a large enough number of trials, there is probably some error in the recording of the coin flip outcomes.
C.
The theoretical probability has no basis in reality, so the new probability of flipping heads is now 0.8.
D.
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. sorry if this isn't right have a nice day.
Answer:
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Step-by-step explanation:
I had the same on my test and got it correct, "trust me man"
Are the following ratios equivalent
16:48 and 112:336
Answer:
Yes
Step-by-step explanation:
Please solve and explain how you got your answer! I will give BRAINIEST to the right answer and explained best.
(Picture)
Answer:
6.28
Step-by-step explanation:
C=2πr=2·π·1≈6.28319
Hope this helps ;)
How much of a pizza does each person get if you divide half a pizza among three people?
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
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Amanda received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.27 per pound. After
buying the coffee, she had $36.38 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 6 pounds of coffee.
Step-by-step explanation:
80-36.38=43.62
so she spent $43.62 on coffee
43.62 divided by 7.27 = 6
