Answer:
k=62
Step-by-step explanation:
K divided by 5 = 12.4
Multiply both sides by 5
5k/5=12.4×5
Simplify;
k=62
Hope this helped!!
Answer:
k = 62
Step-by-step explanation:
To solve we need to get k on one side alone.
To do this we can multiply buth sides by 5
[tex]\frac{k}{5} =12.4[/tex] ---> =12.4*5
This gives us x=62
You can check this by putting 62 in for k and solving the problem.
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
What is (-49(49 x 5982+3)^2
Answer:
[tex] - 49 \times (49 \times 5982 + 3) {}^{2} \\ = - 49 \times 85919920641 \\ = - 4,210,076,111,409[/tex]
Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?
Answer:
function A : y = 50 + 0.5x ; y = 40 + 0.6x
Step-by-step explanation:
Function is a relationship between values in set x & set y.
In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.
If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5
If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater
the base of the cylinder? Use 3.14 for n and round the answer
to the nearest hundredth.
h-13 in
r =
in.
Answer:
r = 7
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
Given:
V = 2000
h = 13
Work:
V = πr²h
r² = V/(πh)
r² = 2000/(3.14 * 13)
r² = 2000/40.82
r² ≈ 49
[tex]\sqrt{r^2} =\sqrt{49}[/tex]
r = 7
Five students participated in an Easter egg hunt. Ally snatched up one
quarter of all of the eggs. Brett only managed to get half of what Ally
found. Lee snagged six more than Brett. Jen ended up with half of Lee's
take, while Lisa snagged three times that. How many eggs were there in
total?
Answer:
There were a total of 72 Easter eggs.
Step-by-step explanation:
Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:
Ally: 0.25X
Brett: 0.125X
Read: 0.125X + 6
Jen: 0.0625X + 3
Smooth: 0.1875X + 9
X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25
0.25X = 6 + 3 + 9
0.25X = 18
Ally: 18
Brett: 9
Read: 15
Jen: 7.5
Smooth: 22.5
18 + 9 + 15 + 7.5 + 22.5 = X
72 = X
Thus, there were a total of 72 Easter eggs.
What's the slope and y intercept of 3x - y = 7
Answer:
the slope is 3
the y intercept is (0,-7)
Step-by-step explanation:
3x-y=7 solve for y
add y to both sides
3x=7+y
subtract 7 from both sides
y=3x-7
y=mx+b
m=slope
b=y-intercept
3=slope
-7=y-intercept
Hope that helps :)
Roger brought some sponges. The number of packages he bought was 14 less than the number of sponges per package. Roger bought 51 sponges in all. How many packages of sponges did roger buy?
Answer:
the number of sponges per package bought be 32.5
Step-by-step explanation:
Let us assume the number of sponges per package be x
So the number of packages he bought be x - 14
And, the overall he bought 51 sponges
So
the number of packages of sponges did roger buy is
x + x - 14 = 51
2x = 51 + 14
2x = 65
x = 32.5
So the number of sponges per package bought be 32.5
If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?
Answer:
40
Step-by-step explanation:
Answer:
24-10-10=4
4/2=2
10*2=20
20Step-by-step explanation:
What type of triangle is this ?
Answer:
triangle bby
Step-by-step explanation:
Step-by-step explanation:
Right because there's an angle of 90
Ethan makes punch by mixing orange juice with
sparkling water. He uses the same ratio of orange juice
to sparkling water each time he makes punch. The table
shows some of the amounts of orange juice and
sparkling water he uses for different amounts of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28
If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total amount of punch?
Use the number pad to enter your answers in the boxes.
Ethan will use ____
fl oz of orange juice, and he will have a total of ___
fl oz of punch.
Answer:
Ethan will use 49
fl oz of orange juice, and he will have a total of 77
fl oz of punch.
Step-by-step explanation:
He uses a ratio of 7 to 4 of orange juice to sparkling water.
7/4 = ?/28
4 * ? = 7 * 28
Divide both sides by 4.
? = 7 * 7
? = 49
He will use 49 fl oz of orange juice.
The total amount made is: 49 fl oz + 28 fl oz = 77 fl oz
Answer:
Ethan will use 49
fl oz of orange juice, and he will have a total of 77
fl oz of punch.
Mrs. Hall records the height of 50 students in a spreadsheet the mean height is 60 inches after looking at the date again she realize that the two other observations were allies it must’ve been typos 82 and 86 inches she deleted these two observations what is the new mean rounded to the nearest hundredth
Answer:
67. 33 inches
Step-by-step explanation:
[50(68) - 82 - 86] / 48 = 67.33Explain the relationship between evolution, natural selection and mutations.
You must write out a well thought out and cohesive explanation. Use the CER model for this answer.
Answer:
Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.
Answer:
Darwin's theory of evolution
Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.
Natural selection
Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Natural selection acting on mice population over time.
Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.
If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.
The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.
Artificial selection
There are other types of selection, in addition to natural selection, that are out there in the world.
Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).
Common mistakes and misconceptions
Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.
Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.
Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.
Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.
Step-by-step explanation:
Kelly received two gift cards to her favorite store. One card was worth $25 and the other was
worth $40. She went shopping and used the cards to buy 3 shirts for $9 each and 2 skirts for
$17 each. How much gift card money did she have left?
f(x) = x2. What is g(x)?
A. g(x) = -2-3
B. (X) = -x2
C. g(x) = x2-3
D. g(x) = -3/2
Answer: B
Step-by-step explanation:
The value g(x) if f(x) = x2 is g(x) = x2-3, the correct option is C.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The function f(x)=x2
Now,
In the graph of g(x)
Coordinate x=0
Coordinate y=-3
Plugging in the values
g(x) = x2-y
y=3
g(x)=x2-3
Therefore, by the given function the answer will be g(x)=x2-3.
Learn more about function here:
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MY HEALTH TEACHER JUST DEFIED MATH APARENTLY 1+1=3 NOT 2
WHAT DOES SOMEONE SAY TO THAT
Answer:
I honestly am very confused
Step-by-step explanation:
what is the longitudinal position latitudinal position of Nepal
Step-by-step explanation:
I think that is your answer because in the Himalayas it lies between latitudes 26.
A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
Can you explain why the bottom angle always has to be 90 degrees?
The Histogram displays information about speeds of motorcycles in miles per hour. What is the number of motorcycles traveling less than 40 miles per hour? A. 30 B. 40 C. 60 D. 20
Answer:
D. 50
Step-by-step explanation:
50-54 is 30
55-59 is 20
1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel
Answer:
yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.
Answer:
1.Yes, 2 pairs
2.Yes, 2 pairs
3.Yes, 1 pair
4.Yes, 2 pairs
Step-by-step explanation:
1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
2.A parallelogram is a four sided figure where the opposite sides are parallel.
3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
You have an order for an 8-gallon aquarium that is 20 in long and 10.5 in wide. How deep should the aquarium be?
Answer:
8.8
Step-by-step explanation:
Simplify: 36.6 ÷ (12)
Answer:
Hi! The answer to your question is [tex]3.05[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
3.
Convert the recurring decimal to fraction
A) 1.45°
Answer:
A
Step-by-step explanation:
rounded to the thousands place :) thank you!!
5e^3x – 4 = 31
Step-by-step explanation:
Add 4 to both sides: 5e^3x = 35, or
tomen puntos
toy aburridoooo
Answer:
aww thank you
pls mark brainliest
Step-by-step explanation:
Melanie's dance class was 100 minutes long. If 1/8 of the time was spent
stretching, how many minutes were spent stretching?
Answer:
12.5 minutes
Step-by-step explanation:
Multiply 1/8 by 100. Convert 25/2 to a decimal by dividing 25 by 2. The answer is 12.5 minutes.
3 3/5 X (-8 1/3) = ?
-30 is your answer.
Step by Step pictured below.
T
3/6
35. A soccer ball has a diameter of 9 inches. What is the volume to the nearest tenth? (TEKS
8.7A-R)
A 381.7 in
A
B
С
D
E
B 190.9 in
C 268.1 in
D 321.6 In
Answer:
I NEED HELP ON THE SAME QUESTION
Step-by-step explanation:
NO ONE INDERSTANDS JT FOR SOME REASON AND NEITHER DO I
Which expression is equivalent to 13 22b
A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price? Show your work.
Answer:
$22.50
Step-by-step explanation:
As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5
We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.