Answer: C
Step-by-step explanation:
An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 20mL. The height of the water rose to 30.2mL. If the mass of the stone was 25g what was its density?
To find the density of the stone, subtract the initial volume of water from the final volume, then divide the mass of the stone by the volume. The density of the stone is 2.45 g/cm³.
Explanation:In order to find the density of the stone, we first need to calculate its volume. The volume can be determined by subtracting the initial volume of water in the graduated cylinder from the final volume with the stone submerged. In this case, the volume of the stone is 30.2 mL - 20 mL = 10.2 mL.
Next, we can use the formula for density: density = mass/volume. Plugging in the given values, we have density = 25 g/10.2 mL.
Since density is mass divided by volume, we need to convert mL to g/cm³. 1 mL is equal to 1 g/cm³. Therefore, the density of the stone is 25 g/10.2 mL = 2.45 g/cm³.
Madeline is financing $321,800 to purchase a house. How much money will she save over the life of a 20 year fixed rate loan by buying five points with the rate of 4.23% instead of not buying points with the rate of 5.18%? Round to the nearest dollar. (show work)
A= $39,984
B= $23,894
C= $36,697
D= $36,766
Joy started with 2.75 gallons of milk. She used 1.5 pints to make mashed potatoes and another cup to make cookies. How much milk does joy have left?
A newly hatched channel catfish typically weighs 0.3 grams. During the first 6 weeks of life, its growth is approximately exponential, increasing by about 10% each day. Find the weight at the end of four weeks. (Hint: Be sure to change the number of weeks to days before plugging into the formula!) Formula: A=C(1+r)t
0.53g
4.33g
16.43g
1.14g
The weight of a newly hatched channel catfish after four weeks of exponential growth is approximately 1.14 grams.
Explanation:To find the weight at the end of four weeks, we need to convert the number of weeks to days since the growth rate is given in terms of daily percentage increase. The formula to calculate exponential growth is A = C(1 + r)^t, where A is the final weight, C is the initial weight, r is the growth rate, and t is the number of periods. In this case, C = 0.3 grams, r = 0.10 (10% daily increase), and t = 4 weeks x 7 days/week = 28 days. Plugging in these values, we get A = 0.3(1 + 0.10)^28. Evaluating the expression, the weight at the end of four weeks is approximately 1.14 grams.
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PLEASE HELP!! SO CONFUSED... WILL GIVE BRAINLIEST!!!
Amy owns a graphic design store. She purchases a new printer to use in her store.
The printer depreciates by a fixed rate of 14% per year. The function
V = 2,400(1 – 0.14)t can be used to model the value of the printer in dollars after
t years.
Question:
Part A: Explain what the parameter 2,400 represents in the equation of the function.
Part B: What is the factor by which the printer depreciates each year?
Part C: Amy also considered purchasing a printer that costs $4,000 and depreciates by 25% each year. Which printer will have more value in 5 years? Justify your answer by showing/explaining your work.
You flipped a coin 70 times and recorded 23 heads. What is the experimental probability of flipping tails?
ANY HELP IS APPRECIATED!
Please show work
tom has twice as much as peter. peter has half as much as Mary. together they all have a total of $15.00. how much money did each have?
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
Suppose you want to organize a community watch, one from each street. you have 5 volunteers from maple street and 3 volunteers from elm street. how many permutations do you get?
Which kind of function best models the data in the table? Use differences or ratios.
A. linear
B. quadratic
C. exponential
D. none of the above
Nearly 90 percent of the people of indonesia are _______.
Answer: Muslims
Total Muslims in Indonesia is approximately 207.2 million or 87.2 (90%) of the total population. Other religions recognized by the Indonesian government aside from Islam are Protestant, Catholic, Hindu, Buddhism, and Confucian which accounts for 6.9,2.9,1.7,.7 and .05% of the total population, respectively.
Religion is a mandatory personal data to the Indonesians.
Answer:
MUSLIMS
Step-by-step explanation:
helppp how do u do 12
Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?
15°
30°
45°
60°
Answer:
It would be 30
Step-by-step explanation:
I did it on plato
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Choose the equation that represents the graph below:
Answers:
y = −2x − 6
y = 2/3x + 6
y = −2/3x + 6
y = 2x + 6
A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.
What is the vertical clearance 7 m from the edge of the tunnel?
5 plus 5 divided by 2 times 300032 plus 6
An electrician can wire a house in 20 hours. if she works with an apprentice, the same job can be completed in 12 hours. how long would it take the apprentice, working alone, to wire the house?
It would take the apprentice 30 hours to wire the house alone.
Explanation:Let's assume that the work done by the electrician alone in 1 hour is represented by E, and the work done by the apprentice alone in 1 hour is represented by A. According to the given information, the electrician can wire the house in 20 hours, so E = 1/20. When the electrician and the apprentice work together, they can wire the house in 12 hours, so their combined work in 1 hour is represented by (E + A) = 1/12.
To find out how long it would take the apprentice to wire the house alone, we can subtract the work done by the electrician in 1 hour (E) from the combined work done by both the electrician and the apprentice in 1 hour (E + A), which gives us A = (E + A) - E. Substitute the values:
A = (1/12) - (1/20) = (20 - 12) / (12 x 20) = 8 / 240 = 1/30.
So, the apprentice can wire the house alone in 30 hours.
There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. if the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
The question relates to combinatorial mathematics and asks for possible arrangements of 5 cars of three different colors. Treating identical colors as one entity, we find that there are 6 ways to arrange the color groups and another 6 ways to arrange the red cars among themselves, resulting in 36 possible arrangements.
Explanation:The subject of this question is combinatorial mathematics. We're asked how many different arrangements there are if we have 5 cars to be displayed in 5 parking spaces, with the condition that the cars are identical besides their color; 3 of them are red, 1 is blue, and 1 is yellow.
Since three cars are identical (red ones), we treat them as one. So initially, we have three 'entities' to arrange: the red group (of 3 cars), the blue car, and the yellow car. These can be arranged in 3! (which means 3 factorial, or 3 * 2 * 1) = 6 ways.
However, within the red group, those 3 red cars can be arranged amongst themselves in 3! = 6 ways.
Therefore, to get the total number of arrangements, we multiply these results together, giving us: 6 * 6 = 36 different arrangements.
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width = (b - a)/n = (8 - 0)/4 = 2
2(f(0) + f(2) + f(4) + f(6))
2(-1 - 2.5 - 1.5 - 0.5)
2(-5.5)
-11
Is my answer C, -11? The question says four subintervals, so I used f(0), f(2), f(4), and f(6). I want to make sure that I am NOT supposed to be using f(8), because f(8) would give me a final answer of D. -13.5
Below is the graph of y=b^x. Find b.
Functions can be represented as equations, and equations can be represented as functions.
The value of b is 1/2
The graph is given as:
[tex]\mathbf{y = b^x}[/tex]
From the graph, we have the following point:
(x,y) = (-1,2)
Substitute these values in the function
[tex]\mathbf{2 = b^{-1}}[/tex]
Rewrite as:
[tex]\mathbf{2 = \frac{1}{b}}[/tex]
Multiply both sides by b
[tex]\mathbf{2b = 1}[/tex]
Divide both sides by 2
[tex]\mathbf{b = \frac{1}2}[/tex]
Hence, the value of b is 1/2
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I would appreciate it if someone could please check my work on this calculus problem! My steps/answers are in green.
find two consecutive even integers such that twice the smaller is 16 more than the larger
A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is the theoretical probability of rolling a 4?
A. 47/120; 1/30
B. 47/120; 1/6 ******
C. 4/47; 1/6
D. 1/6; 47/120
Am I Correct?
A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability = [tex] \frac{Favourable outcomes}{Total outcomes} [/tex]
So, Probability of rolling a 4 = [tex] \frac{ Total number of times when 4 appears}{Total number of times number cube rolled} [/tex]
= [tex] \frac{47}{120} [/tex]
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 = [tex] \frac{1}{6} [/tex]
So, Option B is the correct answer.
Will give brainliest! pts to the correct answer! Are quadratic equations already in rectangular form? I'm asked to eliminate the parameter t from these two questions to get it into the rectangular equation with x and y. Is it possible?
x(t) = 0.5t^2+0.4t-87.30
y(t)= 0.4t^2+0.1t +29.44
What does the underlined conjunction connect in the sentence? The family enjoyed fishing, but they loved hiking during their trip. A. sentences B. predicates C. subjects D. direct objects
If 6 is 30% of a value,
a.what is 70% of that value? b8 is omlwhat is 10%of the value?
In this figure, angle 3 = (2x+15) and angle 6 = (3x+10)
What value of x makes a || b?
When i am divided into 22, the remained is one. when i am added to 5, the answer is an even number. what number am i? * 5 7 9 10 4 2/5?
Answer:
Number is 23.
Step-by-step explanation:
We have been given the information when a number is divided by 22 the remainder is 1.
And when it is added to 5 it will give us an even number.
So, the number 23 if we take when divided by 22 it will give the remainder 1.
And when added to 5 it will give 23+5=28 which is an even number.
So, the number is 23.
Find the absolute maximum value of the function
A plane is flying at an altitude of 32,000 feet. The distance between the plane and a radio tower on the ground is 50,000 feet. What is the angle of depression between the plane and radio tower (round to 1 decimal place)?