Answer:
d=13
Step-by-step explanation:
12d -37 +37 =119 +37 (getting rid of -37 to get 12d alone )
12d =156
12d/12=156/12 (getting rid of 12cto get d alone and/ means divide)
d=13
we need to find d so , we need to make a d as a subject . Just bring the 37 to the right hand side and it will be from -37 to +37 so 119 + 37. Total it and we get 156 and then bring the 12 to the right hand side to leave d alone. The symbol will be divide , we devide the 156 with 12 to get d and we get 13. That's the answer !
Find the volume of each solid. Round to the nearest tenth if necessary. There’s to questions so there is two answers. 1=? 2=?
The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.
What is the volume of the sphere?The volume of a sphere is expressed as;
V = 4/3 × π × r³
Where r is radius and constant pi π = 3.14.
Given the data in the question;
Radius r = 5 ydVolume V = ?To find the volume of the sphere, plug the given value into the above formula and simplify.
V = 4/3 × π × r³
V = 4/3 × 3.14 × ( 5 yd )³
V = 4/3 × 3.14 × 125 yd³
V = 523.3 yd³
Therefore, the volume of the sphere is 523.3 yd³.
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Marta recorded the temperature at 8 p.m. as 56°F and the temperature at 8 a.m. the next morning as 36°F. Marta assumed the temperature changed at a constant rate. She wrote an equation to find the number of degrees the temperature dropped each hour, h, of the night. Which equation did Marta write?
Answer: 5h/3
Step-by-step explanation:
12 hours passed, and 20 degrees dropped.
Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.
Hope that helped,
-sirswagger21
Answer:
5h 3
Step-by-step explanation:
12 hours passed, and 20 degrees dropped.
Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.
Hope that helped,
-sirswagger21
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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An aquarium tank can hold 6300 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 84 minutes. The second pipe can fill the tank in 42 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
It will take them 28 minutes to fill the tank.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The first pipe alone can fill the tank in 84 minutes.
So, the rate at which the first pipe fills the tank = 1/84
and, The second pipe can fill the tank in 42 minutes by itself.
So, the rate at which the second pipe fills the tank =1/42
If they work together, they would work simultaneously and their individual rates are additive.
= 1/84 + 1/42
let it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,
1/84 + 1/42 = 1/t
3/84 = 1/t
t = 84/3
t = 28 minutes
Hence, 28 minutes will take to fill.
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Please help me I'm really struggling.
Answer:
eight chairs.
Step-by-step explanation:
five quarts= 40/8 quarts
one chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
eight chairs
Can someone help me find the surface area of these cylinders??
The surface area for each of the cylinders is given as follows:
13. 126 yd².
14. 490 m².
15. 283 mm².
16. 297 cm².
How to obtain the surface area of a cylinder?The surface area of a cylinder of radius r and height h is given by the equation presented as follows, which combines the base area with the lateral area:
S = 2πrh + 2πr²
S = 2πr(h + r)
Item 13:
r = 2 yd and h = 8 yd, hence the surface area is given as follows:
S = 2π x 2(2 + 8)
S = 126 yd².
Item 14:
r = 6 m and h = 7 m, hence the surface area is given as follows:
S = 2π x 6(6 + 7)
S = 490 m².
Item 15:
r = 3 mm and h = 12 mm, hence the surface area is given as follows:
S = 2π x 3(3 + 12)
S = 283 mm².
Item 16:
r = 3.5 mm and h = 10 mm, hence the surface area is given as follows:
S = 2π x 3.5(3.5 + 10)
S = 297 cm².
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Which equation can be used to find the sum of 7/100 and 4/10?
Answer:
7100+410
Step-by-step explanation:
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
what is a point-slope equation of the line with slope -10 that goes through the point (1,4)
Answer:
The answer is
\(y - 4 = - 10(x - 1)\)
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
where
m is the slope
( x1 , y1) is the point
So we have the final answer as
\(y - 4 = - 10(x - 1)\)
Hope this helps you
Dilating point A using center C and scale factor 2.5 gives image A'. Dilating point B using center C and scale factor 2.5 gives image B'. What can you say about line AB and line A'B' ?
Answer:
a+b=C
Step-by-step explanation:
because a b c
Use the table below to answer the question.
Price Quantity Supplied of T-shirts Quantity Demanded of T-shirts
$5
0
300
$10
100
100
$25
300
50
$50
400
0
At the highest price of $50, producers supply _____ T-shirts and consumers demand _____T-shirts.
100, 100
0, 300
400, 0
Answer: 400,0
Step-by-step explanation:
I just took this on Ody
Graph the linear equation
Answer:
look at my graph
Step-by-step explanation:
solve for y for the second one by subtracting 2 by boths sides --> y > x -2
solve and receive brain list
Answer:
x = 19/22
Step-by-step explanation:
8x-12+36x = 26
44x - 12 = 26
44x = 38 (add 12 on both sides)
x = 19/22 (divide bot sides by 44 and simplify)
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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Solve for x 3x^3−3x^2+3x−1
Answer:
Answer will be 0.
Step-by-step explanation:
As I did the sum it is 0.
if y=-2x what would x equal when y=60?
what is the perimeter of the trapezoid with vertics q(8,8) R(14,16) S(20,16) and T(22,8) roung to the nearest hundrenths if necessary
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ Q(\stackrel{x_1}{8}~,~\stackrel{y_1}{8})\qquad R(\stackrel{x_2}{14}~,~\stackrel{y_2}{16}) ~\hfill QR=\sqrt{[ 14- 8]^2 + [ 16- 8]^2} \\\\\\ QR=\sqrt{6^2+8^2}\implies QR=10 \\\\[-0.35em] ~\dotfill\)
\(R(\stackrel{x_1}{14}~,~\stackrel{y_1}{16})\qquad S(\stackrel{x_2}{20}~,~\stackrel{y_2}{16}) ~\hfill RS=\sqrt{[ 20- 14]^2 + [ 16- 16]^2} \\\\\\ RS=\sqrt{6^2}\implies RS=6 \\\\[-0.35em] ~\dotfill\\\\ S(\stackrel{x_1}{20}~,~\stackrel{y_1}{16})\qquad T(\stackrel{x_2}{22}~,~\stackrel{y_2}{8}) ~\hfill ST=\sqrt{[ 22- 20]^2 + [ 8- 16]^2} \\\\\\ ST=\sqrt{2^2+(-8)^2}\implies ST=\sqrt{68} \\\\[-0.35em] ~\dotfill\)\(T(\stackrel{x_1}{22}~,~\stackrel{y_1}{8})\qquad Q(\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill TQ=\sqrt{[ 8- 22]^2 + [ 8- 8]^2} \\\\\\ TQ=\sqrt{(-14)^2}\implies TQ=14 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\large Perimeter}}{10~~ + ~~6~~ + ~~\sqrt{68}~~ + ~~14~~} \approx ~~ 38.25\)
Please see screenshot.
Answer:
See below
Step-by-step explanation:
Median weekly earnings for women with some college for an associate degree. 1980.......$231 2013.............$657 Using today's dollars, the data in the bar graph can be described by the mathematical model W = 13n + 231, Where W represents median weekly earnings n years after 1980. Does the formula underestimate or overestimate the median weekly earnings in 2013? By how much?
Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.
What is the linear function?The function that estimates the median weekly earnings n years after 1980 is:
W = 13n + 231.
2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:
W = 13 x 33 + 231 = 660.
657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.
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A Random survey of 25 students in each grade level of school was conducted to determine whether the students preferred to have less time between classes. The results are shown in the table
Answer:it is b
Step-by-step explanation:
Because I know
A notice of use and disclosure is required for a) patients whose personal health information the doctor intends to disclose. b) every patient a doctor treats. c) patients treated for sensitive conditions, such as substance abuse or mental illness. new patients, but not established patients.
heelp me pls pls
Answer:
b
Step-by-step explanation:
Jada poured 3.7 liters of water into a partially-filled bucket. The bucket then contained 15.3 liters. Which diagram (A, B, or C) represents this situation?
Answer:
which ever diagram with 11.6 at the starting point
Help! Quick
25 + (–17) + 16 + ______ = 0
What is the difference?
-3 2/3 - (-2 1/4)
let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)
it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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Find the area of the polygon
If the total value of the coins is 30¢, what is the missing coin?
Answer:
$70
Step-by-step explanation: