If you need 2 tablespoons for every 5 quarts how many would you need for 4 quarts
Please help with geometry
Iridium -192 has a half life of 74 days after 148 days, how many milligrams of 900 mg sample will remain?
The amount that remained out of the 900 mg sample after 148 days is 225 milligrams.
Given,
Iridium -192 has a half-life of 74 days.
We need to find out after 148 days how many milligrams of the 900 mg sample will remain.
Here the initial amount is 900mg.
What is half life?It is the time at which the initial amount of a substance is reduced to half its amount.
The formula used with half-life:
[tex]N_{t} =N_{0} (\frac{1}{2})^\frac{t}{t_\frac{1}{2} }[/tex]
Where
N_t = Amount after time t
N_0 = initial amount
t_1/2 = half-life value of the substance.
t = time.
We have,
N_0 = 900 mg
t_1/2 = 74 days.
t = 148 days.
Substituting the values in the formula,
We get,
N_t = 900 ( 1/2 ) ^148/74
N_t = 900 ( 1/2 )^2
N_t = 900/4
N_t = 225 mg
We see that the amount that remains after 148 days is 225 milligrams.
Thus the amount that remained out of the 900 mg sample after 148 days is 225 milligrams.
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The scores of several classmates on a language arts test are shown below: 86 points 87 points 87 points 94 points 95 points 82 points 78 points 89 points 80 points 84 points What is the median score for these students? 87.5 points 87 points 86.5 points 86 points
Answer:
Your answer would be 87.5
Step-by-step explanation:
The reason that I know is because 87 is the most used number in this situation which it then makes it 87.5.
Answer:
87.5 would be the correct answer!
Step-by-step explanation:
if you follow every set of points then the median would be 87.5
Select the factors of x2 − 14x + 49.
(x + 49)(x + 1)
(x + 7)(x + 7)
(x − 7)(x − 7)
(x − 49)(x − 1)
Answer:
The factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .
Step-by-step explanation:
As given the expression in the question be as follow .
= x² - 14x + 49
This is also written as
= x² - 7x - 7x + 49
= x (x - 7)-7 (x - 7)
= (x - 7) (x - 7)
Therefore the factors of the expression x² - 14x + 49 are (x - 7) (x - 7) .
Elly buys 75 shares of stock in a mutual fund for a total investment of $450. She sells 50 shares of her stock for total proceeds of $400. Determine if Elly made a profit or loss, and how much per share.
a.
loss of $0.67 per share
b.
loss of $2 per share
c.
profit of $0.67 per share
d.
profit of $2 per share
We have been given that Elly buys 75 shares of stock in a mutual fund for a total investment of $450.
It means the cost of 1 share is given by
[tex]\frac{450}{75}\\ \\ =\$6[/tex]
Now, we have been given that she sells 50 shares of her stock for total proceeds of $400.
It means the cost of 1 share is given by
[tex]\frac{400}{50} \\ \\ \$8[/tex]
She purchased per share at $6 and sold per share at $8.
It means that she made a profit of [tex]8-6=\$2[/tex] per share.
Therefore, d is the correct option.
(d) profit of $2 per share
Elly made a profit of $2 per share.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can determine the average cost per share of the 75 shares of stock that Elly bought:
Average cost per share = Total investment / Number of shares
= $450 / 75 shares
= $6 per share
Next, we can determine the total proceeds from the sale of 50 shares:
Total proceeds = Number of shares sold x Price per share
= 50 shares x ($400 / 50 shares)
= $400
Elly paid $6 per share for the 75 shares she bought, and she sold 50 shares for $8 per share.
The difference between these prices will determine whether she made a profit or loss per share:
Profit or loss per share = Selling price per share - Average cost per share
= $8 per share - $6 per share
= $2 per share
Since the profit per share is positive, Elly made a profit.
Therefore,
Elly made a profit of $2 per share.
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A toy manufacturer makes a toy truck, a toy car, and a toy boat. The production spreadsheet is:
Toy Time to Produce Cost to Produce Profit for Each Truck 10 minutes $1.00 $1.00 Car 12 minutes $0.75 $1.50 Boat 8 minutes $0.80 $0.60
After accounting for breaks, a worker actually works 400 minutes each day. The manufacturer needs each worker to generate a potential profit of $35 each day. Write a system of inequalities that expresses these constraints.
Answer:
[tex]\left\{\begin{array}{l}10x+12y+8z\le 400\\x+1.5y+0.6z\ge 35\end{array}\right.[/tex]
Step-by-step explanation:
Let x be the number of toy trucks, y be the number of toy cars and z be the number of toy boats a worker makes each day.
1. If a worker spends 10 minutes to make one toy truck, then he spends 10x minutes to make x toy trucks. If a worker spends 12 minutes to make one toy car, then he spends 12y minutes to make y toy cars. If a worker spends 8 minutes to make one toy boat, then he spends 8z minutes to make z toy boats. In total he can spend at most 400 minutes each day, then
[tex]10x+12y+8z\le 400.[/tex]
2. If a worker generates profit of $1.00 per one toy truck, then he generates profit of $x per x toy trucks. If a worker generates profit of $1.50 per one toy car, then he generates profit of $1.50y per y toy cars. If a worker generates profit of $0.60 per one toy boat, then he generates profit of $0.60z per z toy boats. The manufacturer needs each worker to generate a potential profit of $35 each day, then
[tex]x+1.5y+0.6z\ge 35.[/tex]
Thus, the system of two inequalities is
[tex]\left\{\begin{array}{l}10x+12y+8z\le 400\\x+1.5y+0.6z\ge 35\end{array}\right.[/tex]
Please help asap xx
The picture below shows a container that Jeff uses to freeze water:
What is the minimum number of identical containers that Jeff would need to make 2000 cm3 of ice? (Use π = 3.14.)
A. 8
B. 4
C. 2
D. 16
Hey there!
We are looking for cm[tex]^{3}[/tex], so therefore we will be dealing with volume.
The formula for the volume of a cylinder is shown below.
V= h([tex]\pi[/tex]r²)
Our base has a diameter of 8. The radius is half of the diameter, so our radius is 4. Our height is also 10, so will plug that in for h.
We can plug our values into the equation.
V= 10([tex]\pi[/tex]4²)
V=10(16[tex]\pi[/tex])
We simplify further, using 3.14 for pi.
V=10(50.24)
V=502.4
Therefore, the volume of one cylinder is 502.4.
Now, we need to see how many of these cylinders we need to get 2,000 cm³ of ice. We will divide below.
2,000÷502.4≈3.98
Therefore, we cannot have 2 as it will not be enough. 3.98 is about 4, so that would be the best minimum amount.
Therefore, your answer would be B) 4.
I hope this helps!
The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
which of the points satisfy the linear inequality graphed here?
a)(0,0)
b)(10,0)
c)(-10,0)
d)(10,10)
If a pizza is sliced into 6 even slices, what is the angle of rotational symmetry?
The angle of rotational symmetry of a pizza sliced into 6 even slices is 60 degrees, which is the angle required to rotate each slice to coincide with the next, demonstrating six-fold rotational symmetry.
Explanation:The angle of rotational symmetry for a pizza sliced into 6 even slices can be calculated based on the fact that a complete rotation is 360 degrees.
Since the pizza is divided into 6 slices, the angle to rotate each slice to coincide with the next is 360 degrees divided by 6.
Step-by-Step Explanation
Start with the full rotation angle, which is 360 degrees.Divide 360 by the number of slices, which is 6.The angle of rotational symmetry is therefore 360 ÷ 6 = 60 degrees.Each 60-degree turn will align the pizza with itself, showing that it has rotational symmetry at this angle.
Since the pizza can be rotated 6 times and each time result in the same shape positioned identically, it demonstrates six-fold rotational symmetry.
The scatter plot shows the relationship between the number of hours spent jogging and the number of minutes spent stretching, by the students on a track team:
A scatter plot is shown titled fitness routine. The x-axis is labeled hours jogging and the y-axis is labeled minutes stretching. Data points are located at 0 and 1, 2 and 1, 2 and 2, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line connects the points 0 comma 1 and 10 comma 6.
What is the y-intercept of the line of best fit and what does it represent? (4 points)
1 minute; the number of minutes students stretch when they do not jog
1 hour; the number of hours students jog when they do not stretch
4 hours; the number of hours students jog when they do not stretch
4 minutes; the number of minutes students stretch when they do not jog
4.
(06.04)
The line of best fit for a scatter plot is shown:
A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3.
What is the equation of this line of best fit in slope-intercept form? (4 points)
y = 1x + one half
y = one halfx + 1
y = 1x − one half
y = negative one halfx + 1
5.
(06.04)
The graph shows the number of cakes sold at Karen's Cake Shoppe for each of their 7 weeks in business:
A scatter plot is shown with the title Karens Cake Shoppe. The x axis is labeled Weeks in Business, and the y axis is labeled cakes sold. The data points are located at 1 and 2, 2 and 4, 3 and 5, 4 and 4, 5 and 6, 6 and 5, and 7 and 8. A line of best fit passes through the y axis at 1 and through the point 10 and 10.
If her current pattern continues, how many cakes will Karen most likely sell in her 10th week of business? (4 points)
10, because approximately y = 9 over 10.x + 1
11, because approximately y = 9 over 10.x + 1
8, because approximately y = 1x − 1
12, because approximately y = 1x + 2
The y-intercept in the first scenario represents the estimated stretching time if no jogging is done. In the second situation, the line of best fit equation shows that for each additional hour of jogging, an extra half minute of stretching is estimated. In the third scenario, Karen is predicted to sell about 12 cakes on her tenth week of operation.
The subject of this question is mathematics, specifically the concept of scatter plots and the line of best fit in linear regression. In the first scenario, the y-intercept of the line of best fit is 1 minute, which represents the estimated amount of time a student would spend stretching if they did not jog at all.
In the second scenario, the equation of the line of best fit is y = 0.5x + 1. This equation represents a relationship between the number of hours spent jogging (x) and the estimated minutes of stretching (y), where for every one extra hour of jogging, it is estimated that an additional half a minute is spent stretching.
Lastly, in the third scenario, using the line of best fit, Karen will likely sell approximately 12 cakes because the line of best fit is approximately y = 1x + 2, and substituting 10 for x (10th week), we get 12 (cakes).
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The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation?
Answer:
Son’s present age, s = 6 years.
Step-by-step explanation:
Let the son’s present age is s years and father's be f.
We have age of a father is 2 less than 7 times the age of his son.
f = 7s -2
7s - f = 2 -------------------eqn 1
In 3 years, the sum of their ages will be 52.
s + 3 + f + 3 = 52
s + f = 46 -------------------eqn 2
eqn 1 + eqn 2
8s = 48
s = 6
Son’s present age, s = 6 years.
What is the answer? (384 ft is wrong)
Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it take them to fold 8 baskets of clothes if they are working together?
Working together, they fold (8) baskets in (72) minutes, averaging
[tex]\(\frac{1}{9}\)[/tex] of a basket per minute combined.
First, let's find out how many baskets of clothes each person can fold per minute.
Michelle can fold [tex]\( \frac{4}{54} \)[/tex] baskets per minute, and Ruby can fold [tex]\( \frac{4}{108} \)[/tex] baskets per minute.
Let's simplify these fractions:
Michelle's rate: [tex]\( \frac{4}{54} = \frac{2}{27} \)[/tex] baskets per minute.
Ruby's rate[tex]: \( \frac{4}{108} = \frac{1}{27} \)[/tex] baskets per minute.
Now, when they work together, their combined rate will be the sum of their individual rates:
Combined rate = Michelle's rate + Ruby's rate
Combined rate = [tex]\( \frac{2}{27} + \frac{1}{27} \)[/tex] baskets per minute
Combined rate = [tex]\( \frac{3}{27} \)[/tex] baskets per minute
Combined rate = [tex]\( \frac{1}{9} \)[/tex] baskets per minute
Now, to find out how long it will take them to fold 8 baskets together, we can use the combined rate:
Let ( t) be the time it takes for them to fold 8 baskets together.
[tex]\( \frac{1}{9} \) baskets per minute * \( t \) minutes = 8 baskets\[ t = \frac{8}{\frac{1}{9}} \]\[ t = 8 \times 9 \]\[ t = 72 \] minutes[/tex]
So, it will take them 72 minutes to fold 8 baskets of clothes together.
PLEASE HELP ME FAST I WILL GIVE BRAINLIEST TO BEST AND FASTEST ANSWER
Perform the indicated operation.
(6f 2 - 13 - 11f) ÷ (3f - 4)
2f + 1 R 17
2f - 1 R -17
2f - 1
If you would like please tell me what the R means
Answer: 2f - 1, remainder -17
Step-by-step explanation:
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What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
66.1m^2
5.3m^2
16.5m^2
21.0m^2
Geometry B Unit 5: Area - Lesson 10: Area Unit Test
1. What is the area of the trapezoid? The diagram is not drawn to scale.
72 cm^2
2. Given the regular polygon, what is the measure of each numbered angle?
m∡1 = 36°; m∡2 = 72°
3. What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures are not drawn to scale.
5/2 and 25/4
4. What is the area of a regular pentagon with a side of 12 in.? Round the answer to the nearest tenth.
247.7 in.2
5. Name the minor arc and find its measure.
AB; 162°
6. What is the circumference of the given circle in terms of pi_symbol?
28pi in.
7. What is the area of the given circle in terms of pi?
10.89pi m^2
8. What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.
16.5 m^2
9. What is the area of the shaded region in the given circle in terms of pi_symbol and in simplest form?
(270 pi + 81 Root 3) m^2
A 15 sector in a circle has an area of 11.9 m2 What is the area of the circle?
TON OF FREE POINTS FOR THE SMARTEST FINANCE PERSON! EASY PEASY, JUST NEED HELP TO DO IT THE RIGHT WAY ASAP!!! WHO SHALL WIN? Do not answer incorrectly or to get free points please, or you will be reported, and not smart.
David buys a home for $278,640. His home is predicted to increase in value 4% each year. What is the predicted value of David's home in 18 years? Round your answer to the nearest dollar.
Options:
$542,638
$564,474
$576,284
$580,122
Thanks in advance, you guys truly rock.
564474 is the correct answer
Hope this helps...
Find the area of the shaded portion in the square.
(assuming the central point of each arc is the corresponding corner
Please help me with a simple math problem.
What is the value of b?
A. 1.5
B. 3
C. 3.75
D. 4.5
Explain how the discriminant b squared minus 4 ac can be used to determine the number of solutions to a quadratic equation
The diameter of a circular table top is 2.6 metres. What is it’s circumference to the nearest metre?
The circumference of a circular table top with a diameter of 2.6 meters is approximately 8 meters when using the formula C = \\πd and rounding to the nearest meter.
The question is asking for the circumference of a circular table top given its diameter. To calculate the circumference, we use the formula C = \\(π)d, where d is the diameter. The diameter given is 2.6 meters, so the circumference C = \\(pi)(2.6 meters).
Using the approximation \\(π \\approx 3.14, we calculate C \\approx 3.14 \\times 2.6 = 8.164 meters. When rounding this to the nearest meter, we obtain 8 meters as the circumference of the table top.
(Financial Algebra workbook 10-3)
Under his "Household expenses" Budget category, Mark has allocated $60 per month for pet food. He can purchase "wet food" for $1.50 per can or "dry food" for $3 per bag.
E). Name a combination of bags and cans that will cause him to be over budget.
Determine whether the polynomial is a difference of squares and if it is, factor it. y2 – 16
(y – 4)(y + 4) it is a difference this is it. I did the test just a second ago.
Use a scientific calculator to find the logarithm for each number rounded ro four decimal places. Then state characteristic and the mantis.
12
A. 2.3855; -2 0.9564
B. 1.0793; 1; 0.0792
C. 0.5648; 0; 0.5648
D. -1.0458 -2; 0.0542
The perimeter of a square window is 360 cm find the length of one side
To find the length of one side of a square window with a perimeter of 360 cm, we use the formula for the perimeter of a square, resulting in each side being 90 cm long.
Explanation:To find the length of one side of a square window when the perimeter is 360 cm, we can use the formula for the perimeter of a square, which is P = 4s, where P represents the perimeter and s represents the length of one side. Given that the perimeter is 360 cm, we can set up the equation 360 = 4s. Dividing both sides of the equation by 4 gives us s = 90 cm.
Therefore, the length of one side of the square window is 90 cm.
If line t is perpendicular to both line l and line m, then ∠1 and ∠2 are both ____ angles. Question acute right obtuse complementary
Answer:
∠1 and ∠2 both are right angles.
Step-by-step explanation:
Given that if line t is perpendicular to both line l and line m, then
we have to find about the angle ∠1 and ∠2
As given line l is perpendicular to both line l and line m,
Therefore the point at which the ;line intersect the two lines l and m at 90° i.e
∠1 and ∠2 both angles are formed at the intersection points of line t with l and m.
Hence, ∠1 and ∠2 both are right angles.
According to Newton's Law of Cooling, if a body with temperature T 1 is placed in surroundings with temperature T 0, different from that of T 1, the body will either cool or warm to temperature T(t) after t minutes, where: T(t) = T 0 + (T 1 - T 0)e kt and k is a constant. A cup of coffee with temperature 140°F is placed in a freezer with temperature 0°F. The constant k ≈ -0.0815. Use Newton's Law of Cooling to find the coffee's temperature, to the nearest degree Fahrenheit, after 15 minutes. The temperature is about a0degrees Fahrenheit.
Using Newton's Law of Cooling, the coffee's temperature after 15 minutes when placed in a freezer with a temperature of 0°F is approximately 76°F.
Explanation:According to Newton's Law of Cooling, the temperature of an object changes at a rate proportional to the difference between its temperature and the temperature of its surroundings. In the given problem, we have a cup of coffee initially at 140°F placed in a freezer at 0°F, aimed to find the coffee's temperature after 15 minutes. The constant k is given as -0.0815.
We can plug these values into the equation T(t) = T0 + (T1 - T0)ekt. Therefore, the temperature of the coffee after 15 minutes can be calculated as T(15) = 0 + (140 - 0)e-0.0815*15.
Computing this gives us a value of approximately 76°F. Thus, after 15 minutes, the coffee's temperature, to the nearest degree Fahrenheit, is 76°F when placed in a freezer with a temperature of 0°F according to Newton's Law of Cooling.
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A circle has a circumference of 144\pi144π144, pi. what is the radius of the circle?