Answer:
a=5
Step-by-step explanation:
18=5a-2a+3
Combine like terms
18 = 3a +3
Subtract 3 from each side
18-3 = 3a+3-3
15 = 3a
Divide by 3
15/3 =3a/3
5 =a
I would really appreciate if someone could help and explain as well not just give me the answer
Answer:
1330.5 cm³
Step-by-step explanation:
To find the volume you want to find the area of the circle and then times this by 14 which is the length of the shape
Area of circle = πr²
11 = the diameter so 5.5 = radius
5.5² x π = 121/4 π
times this by 14 to get 1330.464489 cm³
to 1dp = 1330.5 cm³
Answer:
1330cm³ (rounded to 3 s.f.)
Step-by-step explanation:
The formula of finding the volume of a cylinder is: \(\pi\) × r² × h
r is the radius of the cylinder, which is also half of the diameter.
You know the diameter is 11cm and the height (h) is 14cm.
Volume of cylinder = \(\pi\) × (11÷2)² × 14
= \(\pi\) × 5.5² × 14
= \(\pi\) × 30.25 × 14
= 423.5\(\pi\)
= 1330cm³ (rounded to 3 s.f.)
The number of CDs per hour that Snappy Hardware can manufacture at its plant is given by P=064 where x is the number of workers at the plant and y is the monthly budget in dollars. Assuming that P is constant.compute dy/d when w100 and y 120,000, Coninuing with the previous problem,give an interpretation in 3 parts of the value you computed in terms of CDs produced by Snoppy Hardware.
The value of dy/d in this case represents the rate of change in the monthly budget required to maintain a constant production level of CDs.
When w100 and y 120,000, dy/d can be computed by taking the partial derivative of the given equation with respect to y: dy/d = -0.64/x. Plugging in the given values, we get dy/d = -0.0064.
1. If the monthly budget is increased by $1, Snappy Hardware can manufacture 0.0064 fewer CDs per hour while maintaining the same number of workers.
2. If the number of workers is increased by 1, Snappy Hardware can manufacture an additional 0.0064 CDs per hour while maintaining the same monthly budget.
3. If Snappy Hardware wants to maintain a constant production level of CDs, they need to decrease their monthly budget by $156,250 for every 10,000 CDs they want to produce per hour.
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Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B
Answer:
you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B
The arithmetic mean of 12 scores is 82. When the highest and lowest scores are removed, the new mean becomes 84. If the highest of the 12 scores is 98, what is the lowest score?
Answer:
46
Step-by-step explanation:
82 times 12=984(sum of total scores)
10 times 84=840(sum of scores with 2 removed)
984-840-98=46(ouch)
12-inch-tall boxes are being stacked next to 8-inch-tall boxes.
What is the shortest height at which these two stacks will be the same height?
Answer:
First, we have to find the LCM of 12 and 8 which would be 24. Since we have to multiply 8 by 3, and 12 by 2, then the shortest height would be two 12-inch boxes, and three 8-inch boxes.
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
The triangles shown below must be congruent.
60°
60°
30°
150
A. True
B. False
Answer:
False
Step-by-step explanation:
it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.
The given statement is false.
We have given that,
The triangles shown below must be congruent.
60°
60°
30°
150
We have to determine whether the given statement is true or false.
What is the sum of all angles in a triangle?The sum of all angles is 180 degrees
\(\angle A+\angle B+\angle C=180\)
it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.
Therefore the given statement is false.
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Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample.If two angles are congruent, then they are vertical angles.
The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles
How to determine the truth value of the conditional statement?The conditional statement is given as:
If two angles are congruent, then they are vertical angles.
The above statement is false because not all congruent angles are vertical angles
A counterexample of this statement is a corresponding angle
i.e. corresponding angles are congruent angles, but they are not vertical angles
Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle
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Find the gcf of 100 and 58
Answer:
2
Step-by-step explanation:
Find the prime factorization of 58
58 = 2 × 29
Find the prime factorization of 100
100 = 2 × 2 × 5 × 5
Therefore, GCF = 2
Answer:
The answer is 2. Knew this already.
MARKING BRAINIEST Can you help me with this math problem please ?
Answer:
You answer can be written for Solving X two different ways
The inquitly form is
x\(\geq\)-6
Interval Notation is
{-6,∞)
Step-by-step explanation:
In order to graph put a close dot on the number -6 and then color your line to the right of the number line. Because the infinity sign is positive so all the number after the -6 is positive. So a close dot on the number -6 and then draw a line or color a line to the right of the number line
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. (Round your answer to four decimal places.) y' = x^2 + xy y(0) = 4
By using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429.
The Euler's method is used to estimate a numerical solution of a first-order differential equation. The formula of Euler's method is given by:
y_1 = y_0 + hf(x_0, y_0)
Where: y_1 is the next value of y after one iterationy
0 is the initial value of yy' = f(x, y)h is the step size
This method is an iterative procedure that advances the estimate of y by one step by approximating the curve using a tangent line at each point along the curve.
Given that y(0) = 4 and h = 0.2, we can use Euler's method to estimate y(1) where y(x) is the solution of the initial-value problemy' = x2 + xy, y(0) = 4
Using Euler's method with a step size of 0.2, we get:
1) When x = 0, y = 4
y_1 = y_0 + hf(x_0, y_0) = 4 + 0.2(0 + 4(0))= 4.02
When x = 0.2, y = 4.02
y_2 = y1 + hf(x_1, y_1) = 4.02 + 0.2(0.2^2 + 0.2(4.02))= 4.10523
When x = 0.4, y = 4.1052
y_3 = y_2 + hf(x_2, y_2) = 4.1052 + 0.2(0.4^2 + 0.4(4.1052))= 4.1994144
When x = 0.6, y = 4.1994
4 = y_3 + hf(x_3, y_3) = 4.1994 + 0.2(0.6^2 + 0.6(4.1994))= 4.3032545
When x = 0.8, y = 4.3033
y_5 = y_4 + hf(x_4, y_4) = 4.3033 + 0.2(0.8^2 + 0.8(4.3033))= 4.4174496
When x = 1, y = 4.4174
y_6 = y_5 + hf(x_5, y_5) = 4.4174 + 0.2(1^2 + 1(4.4174))= 4.5429404
Therefore, using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429 (rounded to four decimal places).
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The volume of the following cylinder is 602.88cm.
Find the height of the cylinder.
Answer:
12cm
Step-by-step explanation:
Please help !!!!!!!!
Answer:
A=$12451.67474
Step-by-step explanation:
A=$12000{(1+3/100)^¼)}^4
A=$12451.67474
A circular rug has a radius of 10 feet. What is the area of the rug? Use 3.14 for π.
Enter your answer
Answer:
A=314 feet
Step-by-step explanation:
\(A=\pi r^{2}\)
\(A=3.14*10^{2}\)
\(A=3.14*100\)
\(A=314 feet\)
Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?
Answer:
3 hours
Step-by-step explanation:
11 / 33 =3
11 x 3 = $33
Answer:
3
Step-by-step explanation:
If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.
Select all acute angles:
Answer:
A, D and F
Step-by-step explanation:
cus they are an acute triangle because they are smaller than 90 degrees
point S lies an AB. If AB=34 units, AS=5+2x units, and SB=x+2 units, what is the length of AS in units?
Answer:
5+2x+x+2=34
7+3x=34
7-7+3x=34-7
3x=27
3x/3=27/3
x=9
5+2x=AS
5+(2*9)=AS
5+18=AS
23=AS
23 units
Step-by-step explanation:
Trapezoid RSTU with vertices R(-11, 1), S(-5, 3), T(-5, -3), and U(-11, -3) with scale factor k = 3/2, centered at (-13, -5). What is R ' ? a. ( 1 , 11 ) b. ( -10 , 4 ) c. ( 11 , -1 ) d. ( 4 , -10 )
The image of point R(-11, 1) under the given transformation is R'' = (3, 9).
What is coordinate geometry?Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes using the Cartesian coordinate system.
To find the image of point R under the given transformation, we can use the following steps:
Apply the translation that centers the trapezoid at (-13, -5) by subtracting (-13) from the x-coordinates and subtracting (-5) from the y-coordinates of all the vertices:
R' = (-11 - (-13), 1 - (-5)) = (2, 6)
Apply the scaling with factor k = 3/2 by multiplying the x and y coordinates by 3/2:
R'' = (3/2 * 2, 3/2 * 6) = (3, 9)
Hence, the image of point R(-11, 1) under the given transformation is R'' = (3, 9).
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Three solid shapes, A, B and C are similar.
The surface area of shape A is 9cm^2
The surface area of shape B is 16cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 125
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20
find the perimeter of the rectangle below
Answer:
I don't know that but the W is x+1/2
Step-by-step explanation:
hope this helps
Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3
The equation in the slope-intercept form is:
y = (1/2)*x + 3
How to write the equation?
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:
\(a = \frac{4 - 3}{2 - 0} = 1/2\)
And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
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Suppose a monopolist has the following cost function C(Q) = ¼ Q2 (with marginal cost
MC(Q) = ½ Q). Suppose they face demand is P = 100 – ¼ Q.
a. Sketch the market demand, marginal costs, and marginal revenues.
b. What is the monopolist’s optimal level of output and profits?
c. Confirm that demand is elastic at the optimal output.
d. Calculate the firm’s markup.
e. What is the DWL associated with the monopoly output?
f. Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?
g. Does the DWL fall or rise?
The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.
The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.
After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.
Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.
Sketch the market demand, marginal costs, and marginal revenues.
Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.
Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.
The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.
Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.
Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.
The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.
Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .
What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.
The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.
At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.
Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.
The subsidy reduces the marginal cost to (1/2) Q - $10.
Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
Therefore, the deadweight loss falls.
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There are 5280 feet in a mile. What fraction of a mile is represented by 1320 feet
Answer:
1/4
Step-by-step explanation:
5280 divided by 1320 equals 4
2.2. South African friends of the Netherlands couple departed from Pretoria at 04h30am to spend the holiday with them. Their journey is described as follows: On their way from Polokwane they took the turn-off to the R521 route. Rest for 45 minutes at Dendron and took 15 minutes to do someshopping and till up the car's fuel tank at All days. 2.2.1. If the scale of the map is given as 1: 3 000 000 and the distance measured on the map between Beitbridge and Musina is 1,3 cm. calculate (in km) the actual distance between Beitbridge and Musina. ● (3)
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.
The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.
The measured distance on the map between Beitbridge and Musina is 1.3 cm.
To find the actual distance, we can set up a proportion using the scale:
1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.
Simplifying the proportion, we have:
1 / 3,000,000 = 1.3 / x.
Cross-multiplying, we get:
x = (1.3 * 3,000,000) / 1.
x = 3,900,000 / 1.
x = 3,900,000 km.
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
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Your mom Paid $8 for 10 Granny Smithapples and bought 15 Golden Delicious at60 cents an apple. What is her average costper apple?
First, let's find the total cost of all the apples:
\(8+(0.6\cdot15)=17\)Now, we divide this by the total amount of apples bought. In our case, we know that there were 10 Granny Smith apples and 15 Golden Delicious, for a total of 25 apples.
\(\frac{17}{25}\rightarrow0.68\)Therfore, we can conclude that the average cost per apple was $0.68
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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Determine the equation of the line that is parallel to y=2/3x+4 and passes through the point (3,7)
Step-by-step explanation:
If the line is parallel to y=2/3x+4 then,
m=m
slope of eqn y=2/3x+4
m=2/3(On comparing with y= mx + c)
the passing point is (3,7) then,
y-y1 = m(x-x1)
y-7=2/3(x-3)
y-7=2/3x -2
y-7= -4x/3
3y-7= -4x
4x + 3y - 7=0
So, The reqd eqn is 4x + 3y - 7 = 0
solve the inequality 5(a - 5) greater than 25
Answer:
5a-25=bigger than 25
a=bigger than 10
Step-by-step explanation:
Answer:
a>10
Step-by-step explanation:
10-5=5
5 times 5=25
So a must be bigger than 10
You split $2200 between two savings accounts. account a pays an annual interest rate of 5% and account b pays an annual interest rate of 3%. after one year, you have earned a total of $78.50 in interest. how much money did you invest in each account?
Answer:
$625 at 5%$1575 at 3%Step-by-step explanation:
Let x be the amount at 5%
Then 2200 - x is the amount at 3%
The total interest is:
0.05x + (2200 - x)*0.03 = 78.505x + (2200 - x)*3 = 78505x + 6600 - 3x = 78502x = 7850 - 66002x = 1250x = 625Find the amount at 3%:
2200 - 625 = 15755−−4=
Pls help it’s due in 20 mins
NEGATIVE TIMES NEGATIVE GIVES POSITIVE
\(5 - ( - 4) \\ = 5 + 4 \\ = 9\)
ATTACHED IS THE SOLUTION
Answer:9
Step-by-step explanation:
-- = + ( 5+4)
++= +
-+ = -
+- = -
11.) On a recent round of golf,shana made par on 15 out of 18 holes.On what percent of holes did Shana make par?Round to the nearest tenth if necessary.