Factor k3 + 1 completely.
Answers
Answer:
(k+1)(k²-k+1)
Step-by-step explanation:
Related Questions
Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?
Answers
Answer:
Cherry ice cream contains 19.75 grams of fat
Mint chocolate chunk ice cream contains 6.75 grams of fat.
Step-by-step explanation:
From the given question,
3C + 1M = 66 ............. 1
1C + 3 M = 70 ........... 2
Multiply equation 1 by 1, and 2 by 3 to have,
3C + 1M = 66
3C + 9 M = 210
Subtract,
1 M - 9 M = 66 - 210
-8 M = -54
Divide through by -8 to have,
M = 6.75
Substitute the value of M in equation 1,
3C + 1(6-75) = 66
3C = 66 - 6.75
3C = 59.25
C = 19.75
Thus,
1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.
Triangle ABC is equilateral. What is the value of X?
Answers
Answer step-by-step
If triangle ABC is equilateral then the value of x is 3.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
ABC is an equilateral triangle.
AD is the perpendicular bisector of CB
As AC=8 units.
The other sides of triangle will be also 8 units.
D will be the midpoint of CB.
CD=4 units and DB is 4 units.
Let us consider triangle ACD
AC²=CD²+AD²
8²=4²+x²
64=16+x²
Substitute 16 from both sides.
64-16=x²
48=x²
Take square root on both sides.
x=√48
=√16×3
=4√3
Hence, if triangle ABC is equilateral then the value of x is 3.
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The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was
Answers
f= the original amount of people, a steady growth throughout the years
t=time
In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.
A function assigns the values. The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that gives the population of the town is given, therefore, the following can be written,
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.
The percentage increase in population from year to year is 3%.
Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
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You given the function
f(x) = 4(3)^x +2
find the initial amount
find the amount After 2 years?
Amount After 3.5 years
**As you find each one label it as 1,2, and 3
Answers
PLEASE HELP???!!! Look at the attachment below
Answers
Answer:
7. 5
6. 0
Step-by-step explanation:
Answer:
See attachedStep-by-step explanation:
Using the numbers in the Venn diagram we get answers:
Those have a dog and a cat: 5 + 7 = 12Those have a dog but don't have a cat: 5Those don't have a dog: 6Those don't have a dog or cat: 0A boat heads in the direction N 78° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It
is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
(20.5, 4.4)
Answers
Answer:
it is the vector
Step-by-step explanation:
The cost of a sweatshirt at a sporting-goods store is in n dollars. Sales tax is 8%. Which expressions represent the cost of a sweatshirt including sales tax? HELP ME PLEASE
Answers
Answer:
n + 0.08n
Step-by-step explanation:
The expression that should represent the cost of the sweatshirt involving sales tax is given below
Since it is given that the cost of the sweatshirt be n dollars
And, the sale tax is 8%
So, the expression should be
= n + n × 0.08
= n + 0.08n
Hence, the expression is n + 0.08n
The same would be considered and relevant too
A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?
Answers
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Imagine the spots of the ducklings, the beginning there are one possibility of 9 ducklings. Afterwards the possibility goes to 8 and so on...
Solution: 362,880 possibilities
There are 362,880 ways to ducklings line up.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A mother duck lines her 9 ducklings up behind her.
Now,
Since, A mother duck lines her 9 ducklings up behind her.
Hence, By using Fundamental counting principal we get;
The number of ways for ducklings line up = 9!
= 9×8×7×6×5×4×3×2×1
= 362,880
Thus, The number of ways for ducklings line up = 362,880
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Can you guys please help me with all three of these?
Answers
Answer:
1) B
2) F
3) D
Step-by-step explanation:
1)
B because all the x-values and y-values are 1-1 and the x-values don't repeat.
2)
F because all the x-values are the same and repeat.
3)
D because this fails the vertical line test.
Find MIssing Angle REAL PERSON HELP PLZ
Answers
Answer:
67 degrees
Step-by-step explanation:
Answer:
67 degrees
Step-by-step explanation:
You wanna sub. 75 from 142. Hope this helped.
what is greater 0.03 or 0.02
Answers
Answer: 0.03
Step-by-step explanation:
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Reactants or Products
Answers
Answer:
1) Reactants
2) Products
Step-by-step explanation:
Answer:
1 reactants 2 products
Step-by-step explanation:
Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds. A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.
A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.
have a good day
Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?
Answers
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x
x=5
y=2.4
k=2.4 • 5
k=12
Answer is:
y=12/x
Good luck.
Which graphs are proportional?
A.
B.
C.
D.
Answers
Answer: Hello, There! your Answer is Below
C And D Are your Answer
Step-by-step explanation:
Hope this Helps you !!!
Have a great day!!!
Tyler has 2 1/3 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. How many smoothies can Tyler make with the yogurt?
Answers
Answer:
7 smoothies
Step-by-step explanation:
change 2 1/3 into improper fraction => 7/3
divide 7/3 by 1/3:
=> 7/3 × 3
=> 7
Answer:
2 1/3
Step-by-step explanation:
Please help I AM BEGGING YOU
Answers
Answer:
600 sq.ft.
Step-by-step explanation:
10 * 24 = 240 / 2 = 120
20*24 = 480
480+120 = 600
600 sq.ft.
Answer:
720
Step-by-step explanation:
So there are two things you need to remember to sovle this problem.
First, the formula for area of a square. This is just base x height.
Second, the formula for area of a triangle. THis is just 1/2 x base x height.
Lets plug our values into both formulas and see what we get.
So the area of the square would be:
24 x 20.
This is 480.
Now that we know the area of the square is 480, lets find the area of the traingle:
1/2 x 24 x 20
This will get you 240.
Low lets just add the two together, and we get:
240+480=720
So the area is:
720
Pick the correct value for the image of A after applying the rotation matrix.
(- 3, -4)
(- 1, -4)
(1, -4)
(3, -4)
Answers
Answer:
A) (- 3, -4)
Step-by-step explanation:
edge 2021
Answer:
A) (-3, -4)
Step-by-step explanation:
Andy randomly selects an outfit to go to school. He can choose from 4 shirts: blue stripes, red stripes, black or white stripes. He can choose from 3 pairs of shorts: brown, blue or plaid.
Answers
Answer:
B and D
Step-by-step explanation:
The probability that Andy chooses a striped shirt and a pair of blue shorts is:
[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]
The probability that Andy chooses a striped shirt and pair of tan or plaid shorts is:
[tex]\frac{3}{4} * (\frac{1}{3} + \frac{1}{3}) = \frac{6}{12} = \frac{1}{2}[/tex]
A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as many as the green Skittles. Which equation would NOT be helpful in solving this problem?
Answers
Answer:
you need to put the answer choices to pick from (I will edit this when you put them)
Step-by-step explanation:
4 feet ≈ how many meters Round to the nearest hundredth
Answers
Malcolm sells art supply kits. He purchased 6 kits for $32.10. Write an equation that can be used to find the cost of each art supply kit, a, in dollars. How much does one art supply kit cost?
Answers
$5.35
you can use k or x i said k because it’s kits
Fill in the table using this function rule y=-10x+2
Answers
Step-by-step explanation:
If X=-1, then we have to multiply by -10 and then add 2. It would be 8.
If X=0, we multiply it by -10, (still 0) and then add 2 so it would be 2.
If X=1, 1*-10=-10 and then -10+2=-8
If X=5, 5*-10=-50, -50+2=-48.
Hope this helps!
i really can't figure this out
A slope
B x-intercept
C y-intercept
D none of the above
Answers
Answer:
A, slope
I am pretty sure it is the slope
Answer:
I think the answer is B (x-intercept)
Step-by-step explanation:
Have a nice day :)
A culture of bacteria has an initial population of 8600 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answers
The population of bacteria in the culture after 7 hours, to the nearest whole number is 27,971 bacteria
How do we determine the population of the bacteria?In order to determine the figure of the population of bacteria in the culture after 7 hours, to the nearest whole number, we make use of the formula:
P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t
We know that P_0 = 8600, t = 7, and d = 5. Plugging these values into the formula, we get:
P_t = 8600 * 2^(7/5)
To find the population after 7 hours, we can calculate the value of this expression. To the nearest whole number, the population is approximately 27,971 bacteria.
Therefore, the size of the population after 7 hours is 27,971 bacteria.
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5/10+13/100
what is the value of the expression
Answers
Answer:
63/100
Step-by-step explanation:
A figure is translated and then rotated about the origin. Which of the following is
true of the resulting figure and the original figure?
A) The figures are similar.
OB) The figures have different sizes.
OC) The figures are congruent.
D) The figures are neither congruent nor similar.
Answers
Answer:
C) The figures are congruent.
Step-by-step explanation:
Given
Translation and rotation on a figure
Required
Select the true option
Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.
The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.
(c) is correct
Answer:
c
Step-by-step explanation:
Riley can afford to spend at most $50 on a birthday gift and wrapping. He has to spend $12 on the wrapping paper and card. What is the maximum amount Riley can spend on the birthday gift?
PART A: Write an inequality to represent the situation.
PART B: Solve AND GRAPH the inequality solution.
Answers
Answer:
Step-by-step explanation:Hello How Is Your Day
Plss help this is timed!!
Answers
Answer:
8/35
Step-by-step explanation:
Answer:
8 7/20
Step-by-step explanation:
I'm not quite sure but I hope it will help you if I'm wrong tell me I'll try it again good day don't forget to tell me if I'm wrong.
Topic 6 Online Assessment
Answers
Answer:
ok but where is the question
Step-by-step explanation:
Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease
Answers
Answer:
D
Step-by-step explanation:
I think so :)
Now this helps if correct!