Answer:
because there are more sugar molecules in the Gummy Bear than in the water and more salt molecules in the salt water than in the Gummy Bear.
Step-by-step explanation:
How many sweets are there in the tenth bag?
Answer: The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
Step 4 - Simplify the above expression.
So, the total number of sweets in the 10th bag is 53.
Step-by-step explanation:
tom works for a company his normal rate of pay 15 per hour
The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.
The amount earned per hour = $15 The number of hours worked = 6 hoursThe amount earned at the normal earning rate can be calculated thus :
Normal rate per hour × number of hoursAmount earned = $15 × 6 = $90
Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.
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The total pay Tom earn for working 11 hours is £185
Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.
Given that he works for 11 hours, hence:
Pay for the first 7 hours = £15 × 7 hours = £105
Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80
Total pay = £80 + £105 = £185
Hence the total pay Tom earn for working 11 hours is £185
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The population of a city is modeled by the equation P(t) = 242,700e0.25t where t is measured in years. If the city continues to grow at this rate, (a) What would be the population after 1 year? (b) Set the equation and solve for time to answer: in approximately how many years will it take for the population to reach one million? (Round your answer to two decimal places.)
Answer:(a) To find the population after 1 year, we can simply plug in t = 1 into the given equation and evaluate:
P(1) = 242,700e^(0.25*1) = 278,926.38
Therefore, the population after 1 year would be approximately 278,926.
(b) We want to solve for the time t when the population P(t) reaches one million. In other words, we want to find t such that:
P(t) = 1,000,000
Substituting the given equation for P(t), we get:
242,700e^(0.25t) = 1,000,000
Dividing both sides by 242,700, we get:
e^(0.25t) = 4.120439
Taking the natural logarithm of both sides, we get:
0.25t = ln(4.120439)
Solving for t, we get:
t = (ln(4.120439))/0.25 ≈ 7.77 years
Therefore, it will take approximately 7.77 years (rounded to two decimal places) for the population to reach one million.
PLEASE ANSWER THIS QUICK AND RIGHT!! 50 POINTS
DETERMINE THE PERIOD
The period of the given trigonometric function is: 20.
What is the period of the trigonometric graph?The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.
Sine and cosine functions start repeating the same pattern of y-axis values after every 2(pi). The period is defined as just the distance on the x-axis before the pattern repeats.
Now, looking at the trigonometric graph, we see that the x-interval for which the graph repeats itself is 20
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i also need help with this one can y’all put the step by step explanation please?
Answer:
66
Step-by-step explanation:
g(x) = x ³ +5x
h(x) = x +5
find g(x) + h(x)
Answer:
\(g(x) + h(x) = x^3 + 6x + 5\)
Step-by-step explanation:
We are told that:
\(g(x) = x^3 + 5x\)
\(h(x) = x + 5\),
and we are asked to find an expression for \(g(x) + h(x)\).
In order to find the expression for \(g(x) + h(x)\), we have to simply add the expressions of \(g(x)\) and \(h(x)\) together:
\(g(x) + h(x)\)
= \(x^3 + 5x + x + 5\)
= \(x^3 + 6x + 5\)
Plane R contains which of the following? M point M and line f line M and linef Opoint X and line e point Y and point A
Do you have a picture that I can look at, to answer your question?
If $a$ and $b$ are integers, such that $a\not= 0$ and $b\not= 0$ and $a^2$ and $b^2$ have at most two digits, what is the greatest possible difference between the squares of $a$ and $b?$
Answer:
80
Step-by-step explanation:
t is important to note that a square of any non-zero integer is positive, and therefore there is no advantage in using negative integers instead of positive integers to attain the greatest difference of squares. So we will not consider negative integers.
The greatest value of a^2 - b^2 occurs when a^2 is at its largest and b^2 is at its smallest.
The larger a, the larger a^2:
8 ^ 2 = 64
9 ^ 2 = 81
10 ^ 2= 100
Since a^2 can have at most two digits, a=10 is too large, and so a=9 is the largest integral value of a we can use.
Now, b^2 is at its smallest when b is closest to zero on the number line (the further b gets from zero, the larger its square becomes):
2 ^ 2 = 4
1 ^ 2 =1
0 ^ 2 = 0
Remember to go back to the original problem sometimes, to make sure you are taking everything into account. It states b doesn't =0, and therefore the b=1 is the closest b can get to zero as an integer. So, the greatest difference between b^2 and a^2 is when b=1 and a=9, giving the result:
a^2-b^2 =9^2-1^2 =81-1= 80.
So, 80 is your answer.
The w1/2 of the nw1/4 of the nw1/4 of the se1/4 of the sw1/4 of a section is to be paved for parking at a cost of $2.25 per square foot. the total paving cost would be
The total paving cost would depend on the specific measurements and dimensions of the section, which are not provided in the question. Therefore, the exact total paving cost cannot be determined without this information.
The question describes a series of fractional divisions of a section, but it does not provide any numerical values for the measurements. Without knowing the actual dimensions or the area of the section, it is impossible to calculate the total paving cost.
The cost per square foot is given as $2.25, which would need to be multiplied by the area of the section to determine the total cost. However, since the measurements are not provided, a precise answer cannot be given.
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What is the solution to the system graphed below?
Answer:
(-4,-1)
Step-by-step explanation:
If I am reading this question correctly, to find a solution to a graph you find the ordered pair of where the two lines intersect.
these two lines intersect at, (-4, -1)
calculate the following fractions and leave the answer correct to two decimal places. 3 2/5 - 2 2/3
Answer:
0.73
Step-by-step explanation:
3 2/5 = 17/5, 2 2/3 = 8/3
17/5 - 8/3
3/3 x 17/5 = 51/15
5/5 x 8/3 = 40/15
51/15 - 40/15 = 11/15
11/15= 0.73
help asap!!!!!!!!!!!!!!!!!!!!!!
The area of the rhombus is 18 square units. And the perimeter of the rhombus is 48 units.
What is rhombus ?
A rhombus is a type of quadrilateral in which all four sides are of equal length. It is a special case of a parallelogram in which the opposite sides are parallel and the adjacent sides are congruent. A rhombus has four vertices and four angles, and the opposite angles are equal. The diagonals of a rhombus bisect each other at right angles, which means they divide the rhombus into four congruent right triangles. The area of a rhombus can be calculated as the product of the lengths of its diagonals divided by 2.
To find the area and perimeter of a rhombus with side lengths of 12 and 6 and an altitude of 3, we need to use the formula for the area and perimeter of a rhombus.
The area of a rhombus can be found using the formula:
Area = (base x height)/2
where the base is the length of one side of the rhombus and the height is the length of the altitude.
In this case, the base of the rhombus is 12 and the height is 3, so we can plug those values into the formula and get:
Area = (12 x 3)/2 = 18 square units.
Therefore, the area of the rhombus is 18 square units.
To find the perimeter of a rhombus, we use the formula:
Perimeter = 4 x length of one side
In this case, the length of one side is 12, so we can plug that value into the formula and get:
Perimeter = 4 x 12 = 48 units.
Therefore, the perimeter of the rhombus is 48 units.
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Jayden owns 32 rabbits. If 12 of his rabbits are male, what percentage of Jayden's rabbits are male
Answer:
37.5%
Step-by-step explanation:
We take
12 divided by 32, then times 100% = 37.5%
So, 37.5% of Jayden's rabbits are male
I will mark brainest if it is correct
1. 4x + 3 = x + 18
x=
Answer
5
Step-by-step explanation:
Pls give brainliest to me
Answer: x = 5
Step-by-step explanation:
4x + 3 = x + 18
- 3 - 3
4x = x + 15
Do 4x-x and x-x
3x = 15
Do 3x/3 and 15/3
x= 5
How much money will we need to buy enough 12 packs for 168 people to
have 1 can each? Explain how you know.
Pls I need it now
I will mark BRAINLIEST IF CORRECT
ignore what i selected please help me
Answer:
- 5/4
Step-by-step explanation:
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
What is the area, in square feet, of an isosceles triangle whose vertex angle is $120^{\circ}$ and whose base is $20$ feet long
The area of the given isosceles triangle is 480 square units.
Isosceles triangle:
An isosceles triangle is a triangle with two sides of equal length. Let's do a little activity to understand this better. Take a square piece of paper and fold it in half. Draw a line from the folded top corner to the bottom edge (see image below). Open the sheet and you will see a triangle. Mark the triangle vertices as O, D, C. Then measure OD and OC. Repeat this activity at different scales and observe patterns. We can see that OD and OC are always the same. A triangle with two equal sides is called an isosceles triangle.
Given,
base (b) = 20 units and
height (h) = 120 units.
The formula to calculate the area is 1/2 × b × h square units.
By substituting the values, we get
⇒ Area = 1/2 × 20 × 120
= 480 unit Squares
Therefore, the area of the given isosceles triangle is 96 square units.
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y= -3x+10 y= -2x+6 what is x and y
Answer:
(4,-2)
Step-by-step explanation:
you could use substitution and all that, but i use desmos
Which of them is correct? I'm like, slow right now.
Answer:
c
Step-by-step explanation:
.
.
.
.
.
.
.
.
................
Answer:
its the one you have clicked in the pic E
Step-by-step explanation:
Irrational or rational -14.3
Answer:
It is an rational
Step-by-step explanation:
Monica reads 7 ½ pages of a mystery book in 5 minutes. What is her average reading rate in pages per minute?
Answer:
1.5 or 1 ½ pages per min
Step-by-step explanation:
7.5/5=1.5
She reads 1 ½ pages per min
Answer: 1.5 pages per minute
Step-by-step explanation:
Divide the total number of pages she read by 5, the amount of time it took her. So it should look like this: 7.5/5
The answer is 1.5 pages per minute.
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
pls answerrrrrr<3333
Answer:
\((x+6)(x+10)\)
Step-by-step explanation:
Break the expression into groups, \(=(x2+6x)+(10x+60)\)
Factor out x from \(x2+6x: x(x+6)\)
Factor out 10 from \(10x+60: 10(x+6)\)
\(=x(x+6)+10(x+6)\)
A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.
Answer:
100
2. Above,
3. -200−200 ,
4. Below
An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: A. y = 4x B. x=2y C. y = x D. ax = 2y
The equation for the tangent to the graph of y = arcsin(x/2) at the origin is y = x. This means that for any given x-value, the corresponding y-value is equal to that x-value, creating a line with a slope of 1. This line is tangent to the graph of y = arcsin(x/2) at the origin, which is (0, 0).
To find the equation for the tangent to the graph of y = arcsin(x/2) at the origin, we must first find the slope at the origin. We can do this by taking the derivative of the function y = arcsin(x/2) with respect to x.
The derivative of
y = arcsin(x/2) with respect to x is y' = (1/2)cos(x/2).
At the origin, x = 0, so the slope of the tangent at the origin is
y' = (1/2)cos(0) = 1.
Therefore, the equation for the tangent to the graph of
y = arcsin(x/2) at the origin is y = x, which has a slope of 1.
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Keesha Thompsons cousin is 8 years older than keesha. Write an expression for the age of keesha's cousin
Answer:
y = 8 + x or
Keesha.cousin.age = 8 + Keesha.age
Step-by-step explanation:
II. When Keesha.cousin is older than Keesha 8 years
Give y = 8 + x, when y is Keesha cousin.age, x is Keesha.age
y = 8 + x
II. Prove by given Keesha is 10 years old.
y = 8 + 10
y = 18 or Keesha cousin is 18 years old.
Hope that help :)
Write a function representing the line that includes the points (2,18) and (5,36).
Answer:
Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)
y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (2,18) and (5,36).
m=36-18/5-2
=18/3=6
slope of line is 6.
Now we need to find the equation of line passing through (2,18) and (5,36).
We need to find the y intercept.
18=6(2)+c
18=12+c
18-12=c
6=c
So y intercept is 6
The equation of line is y=6x+6
Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
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How many packs of DVD's can you buy with 216 dollars
if one pack costs 18 dollars ?
Answer:
12
Step-by-step explanation:
minus 216 - 18 and the answer minus it from 18 and so on and so on
the income i of a computer analyst varies directly as the number of hours h worked. if the analyst earns $352 for working 8 h, how much will the analy