1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole .
Answers
Answer:
75m
Step-by-step explanation:
let X be the length of the pole1/5 of the pole is in water so =1/5X2/3 of the pole is in mud= 2/3X10m is above the polelength of the pole (X)= length of pole in mud+length of pole in water+length of pole in airX(m)=1/5X+ 2/3X+10X- 13/15X=102X= 10x15X=75mRelated Questions
jane bought 22 t shirts for her fundraiser in total she spent 231 how much as each t shirt
What are we looking to solve for?
What variable can be used to represent the unknown? what is the equation to solve the variable?
Pls answer all those
Answers
Answer:
What are we looking to solve for?
How much each shirt she bought for the fundraiser costs, each.
What variable can be used to represent the unknown?
The variable "t".
What is the equation to solve the variable?
You can use the following equation as a framework for solving:
t * 22 = 231 solve for t.
Now lets solve:
I am going to use inverse operations: Divide instead of multiply.
231/22 = 10.05
Each shirt is worth $10.50.
Step-by-step explanation:
Hope it helps! =D
Answer:
We want to know how much each t-shirt costs.
t = 10.50
Step-by-step explanation:
We want to know how much each t-shirt costs.
Let the cost of each t-shirt = t
22 * t = 231
Divide each side by 22
22t/2 = 231/22
t = 10.50
The cost of each t-shirt is 10.50
Rewrite y= 7/16x+14 in standard form
Answers
Answer:
7x - 16y = -224
Step-by-step explanation:
Standard Form:
Ax + By = C
y= 7/16x+14
-7/16x + y = 14
(Multiply everything by 16)
-7x + 16y = 224
(Multiply everything by -1)
7x - 16y = -224
Can * x ^ 2 + 25 be factored using a difference of two squares?
Answers
No it can't be factored , whenever there is addition between two squares , the expression can't be factored
Which are undefined?
sec(-pi/)
csc(3pi)
cot(7pi/2)
csc(-3pi/2)
cot(5pi/3)
Answers
Step-by-step explanation:
after you draw a unit circle you will find the answer
cosec(3pi)=1/sin(3pi)
sin3pi=sinpi=0
so cosec3pi=1/0 which is undefined.
The trigonometric functions \(csc(3\pi)\) is undefined.
To understand more, check below explanation.
Trigonometric function:The value of given trigonometric function are show below,
\(sec(-\pi)=sec(\pi)=-1\\\\csc(3\pi)=\frac{1}{sin(3\pi)}=1/0 =\infty\\\\cot(\frac{7\pi}{2} )=\frac{1}{tan(\frac{7\pi}{2} )} =\frac{1}{\infty} =0\\\\csc(-\frac{3\pi}{2} )=1\\\\cot(\frac{5\pi}{3} )=\frac{1}{\sqrt{3} }\)
Hence, the trigonometric functions \(csc(3\pi)\) is undefined.
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The following kite is plotted on a grid where each square is 1inch x 1inch. What is the area of
the kite? Round your answer to the nearest tenth (1 decimal place). Type the number only,
no "in" or "in2" or any other words.
Enter answer
Answers
Answer:
21
Step-by-step explanation:
There are two triangles with base 7 and height 3.
A = 7 × 3 = 21
write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
Answers
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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Nina is an artist who sells paintings online. She charges the same amount to ship each painting. When she sells 4 paintings, she charges a total of $9.96 for shipping. When she sells 8 paintings, she charges a total of $19.92 for shipping. How much more does Nina charge for shipping 20 paintings than for shipping 16 paintings?
a$2.49
b$9.96
c$19.92
d$29.96
Answers
Answer:
b. $9.96
Step-by-step explanation:
To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.
When Nina sells 4 paintings and charges a total of $9.96 for shipping:
Shipping cost per painting = $9.96 / 4 = $2.49
When Nina sells 8 paintings and charges a total of $19.92 for shipping:
Shipping cost per painting = $19.92 / 8 = $2.49
We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.
Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:
Shipping cost for 20 paintings = $2.49 * 20 = $49.80
Shipping cost for 16 paintings = $2.49 * 16 = $39.84
The difference in shipping charges for 20 paintings and 16 paintings is:
$49.80 - $39.84 = $9.96
Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answers
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
solve for x.
a) 9\(9^{3x+4}\) = \(27^{4x+3}\)
b) \(4^{3x}\) = \(2^{x+1}\)
(include steps pleez)
Answers
Answer:
Question a)
\(9^{3x+4}=27^{4x+3}\)
\(x=-0.166\)
Question b)
\(4^{3x}=2^{x+1}\)
\(x=0.2\)
Step-by-step explanation:
Question a)
Given the expression
\(9^{3x+4}=27^{4x+3}\)
Taking log on both sides
\(log\left(9^{3x+4}\right)=log\left(27^{4x+3}\right)\)
\(\left(3x+4\right)\cdot \left(log\left(9\right)\right)\:=\left(4x+3\right)\cdot \left(log\left(27\right)\right)\)
\(3x+4=\left(\frac{log\left(27\right)}{log\left(9\right)}\right)\cdot \left(4x+3\right)\)
\(3x+4=1.5\times \left(4x+3\right)\)
\(3x+4=6x+4.5\)
\(3x=6x+0.5\)
\(\frac{-3x}{-3}=\frac{0.5}{-3}\)
\(x=-0.166\)
Therefore, the value of x:
\(x=-0.166\)
Question b)
Similarly, we can solve the 'b' expression
Given the expression
\(4^{3x}=2^{x+1}\)
Taking log on both sides
\(log\left(4^{3x}\right)=log\left(2^{x+1}\right)\)
\(3x\cdot \left(log\left(4\right)\right)=\left(x+1\right)\cdot \left(log\left(2\right)\right)\)
\(3x=\left(\frac{log\left(2\right)}{log\left(4\right)}\right)\cdot \left(x+1\right)\)
\(3x=0.5\times \left(x+1\right)\)
\(3x=0.5x+0.5\)
\(2.5x=0.5\)
Divide both sides by 2.5
\(\frac{2.5x}{2.5}=\frac{0.5}{2.5}\)
\(x=0.2\)
Therefore, the value of x = 0.2
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $59.77
Answers
Answer:
$12 would be the correct answer :)
Can someone help me with this
S=?
Answers
Answer:
In order to find the value of s, we must isolate the s variable in this equation, so the first step should be subtracting 3 5/6 from both sides of this equation. In order to subtract, we multiply each denominator to get 42, and multiply the numerator by the same amount, and subtract the number from both sides:
s + 3 35/42 = 9 6/42
s = 5 13/42
Step-by-step explanation:
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Subway 80
Bicycle 20
Car Service 30
Bus 16
Walk 54
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 16 percent, car service 30 percent, bus 20 percent, and walk 54 percent
Answers
Subway: 80%
Bicycle: 20%
Car Service: 30%
Bus: 16%
Walk: 54%
Therefore, the correct circle graph is the one described in the first option: "circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent".
The problem refers to triangle ABC. Find the area of
the triangle. Round to three significant digits.
A = 105.4°, C = 31.8°, c = 200
in.
in2
Answers
Area = (1/2) * a * b * sin(31.8°)
To find the area of triangle ABC, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C)
Given that angle A is 105.4°, angle C is 31.8°, and side c is 200 inches, we can use the Law of Sines to find the lengths of the other two sides, a and b.
Using the Law of Sines, we have:
sin(A)/a = sin(C)/c
Rearranging the equation, we can solve for a:
a = (c * sin(A))/sin(C)
Substituting the given values, we can find the length of side a:
a = (200 * sin(105.4°))/sin(31.8°)
Similarly, we can find the length of side b using the Law of Sines:
b = (c * sin(B))/sin(C)
Now that we have the lengths of all three sides, we can calculate the area of the triangle using the formula mentioned earlier:
Area = (1/2) * a * b * sin(C)
Substituting the values, we get:
Area = (1/2) * a * b * sin(31.8°)
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Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
Answers
Please help, I don't understand this at all!!
Answers
Answer:
Step-by-step explanation:
if the middle point of the circle is the letter O
2a.
if the middle point is the letter O
answer: LOM is a central angle
central angle means it comes from the center and each part of it is a radius
central angle is the same degree as the degrees of its arc
so it would also be 84 degrees
2b.
answer: points LM make a minor arc because its less than 180
2c
answer: points LKN make a semi circle
2d
answer: LKNM is a major arc because its more than 180
2e
LKM = 360 - 84 = 276
answer: 276
2f
84*2=168 -> 360-168 = 192 -> 192 divided by 2 is 96
answer: LK is 96
2g
answer: MN is 96
2h
NK is like LM so its 84
answer: 84
2i
LKN is 84+ 96 = 180
answer: 180
2j
360-96 = 264
answer: 264
If you take the opposite of the product of 8 and -2, will the answer be less than -5, between -5 and 5 and 10, or greater than 10?
Answers
Answer: Greater than 10.
8x-2=-16 the inverse (opposite) of -16 is 16. 16 is greater than 10.
What can be concluded about the line represented in the table? Select 3 options.xy–6–72–380The slope is 2.The slope is .The y-intercept is –4.The y-intercept is 8.The points (–2, –5) and (8, 0) are also on the line.The points (–5, –2) and (1, 10) are also on the line.
Answers
The following statements are incorrect: The slope is 1/2: The y-intercept is -4: The points (-2, -5) and (8, 0) are also on the line.
The slope of a line is calculated by finding the change in y divided by the change in x. In this case, the change in y is -7 - (-4) = -3 and the change in x is 2 - (-6) = 8. Therefore, the slope is -3/8.
The y-intercept of a line is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at (0, -4). Therefore, the y-intercept is -4.
The points (-2, -5) and (8, 0) are both on the line because they satisfy the equation of the line. The equation of the line is y = 2x - 4. Plugging in -2 for x gives y = 2(-2) - 4 = -8 - 4 = -12. Plugging in 8 for x gives y = 2(8) - 4 = 16 - 4 = 12. Both of these values are equal to the y-coordinate of the corresponding point, so the points are on the line.
The points (-5, -2) and (1, 10) are not on the line because they do not satisfy the equation of the line. Plugging in -5 for x gives y = 2(-5) - 4 = -10 - 4 = -14. Plugging in 1 for x gives y = 2(1) - 4 = 2 - 4 = -2. Neither of these values are equal to the y-coordinate of the corresponding point, so the points are not on the line.
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Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?
Answers
if you are struggling for math download the fastmath app on your moblie phone then scan the eqation to get a answer fast. also you can find the steps to help undersatnd
Answers
Answer:
thank you :) for the points
Answer:
Thanks
Step-by-step explanation:
calculate the average total cost for producing 82 gaskets. round your answer to the nearest hundredth
Answers
To calculate the average total cost for producing 82 gaskets, we need to know the total cost incurred in the production process. Let's assume the total cost is $6,000.
The average total cost per gasket can be found by dividing the total cost by the number of gaskets produced. In this case, the total cost is $6,000 and the number of gaskets produced is 82.
Average Total Cost = Total Cost / Number of Gaskets
So, Average Total Cost = $6,000 / 82 ≈ $73.17. Rounded to the nearest hundredth, the average total cost per gasket is $73.17. This means that, on average, it costs approximately $73.17 to produce each gasket when a total of 82 gaskets are produced.
The average total cost includes all the expenses incurred in the production process, such as raw materials, labor costs, overhead costs, and any other associated costs. By dividing the total cost by the number of gaskets, we obtain the average cost per gasket, representing the average expenditure for each unit. It's important to note that the actual average total cost may vary based on various factors such as economies of scale, production efficiency, and fluctuations in input prices. This calculation provides an estimate based on the given information, but actual production costs may differ.
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A hemisphere is placed on top of a cylinder with the same radius. The height of the cylinder is 10 inches and the radius is 3 inches. A hemisphere on top of a cylinder. What is the volume of this composite figure? Use the π button on your calculator to determine the answer. Round your answer to the hundredths place. The volume is approximately in3.
Answers
The composite figure has a volume of 339.29 cubic inches.
How to find the volume of the composite figure?We can break down the composite figure into two parts: a cylinder and a hemisphere.
The volume of the cylinder is given by the formula \(V = \pi r^2h,\) where r is the radius and h is the height. Substituting r = 3 in and h = 10 in, we get:
\(V_{cylinder} = \pi (3 in)^2(10 in) = 90\pi in^3\)
The volume of the hemisphere is given by the formula \(V = (2/3)\pi r^3.\) Since the hemisphere has the same radius as the cylinder, we can substitute r = 3 in:
\(V_{hemisphere} = (2/3)\pi (3 in)^3 = 18\pi in^3\)
To find the total volume of the composite figure, we add the volume of the cylinder and the hemisphere:
\(V_{total} = V_{cylinder} + V_{hemisphere} = 90\pi in^3 + 18\pi in^3 = 108\pi in^3\)
Rounding to the hundredths place, we get \(V_{total}\approx 339.29 in^3.\)
Therefore, the volume of the composite figure is approximately 339.29 cubic inches.
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Simplify to create an equivalent expression.
-k-(-8k+7)
Answers
7(k+1) gives the equivalent expression
Simplifying linear expressionsLinear expressions are expressions that has a leading degree of 1. For instance y = mx + b is a linear equation.
Given the expression below
-k-(-8k+7)
Expand to have:
-k-(-8k+7) = -k + 8k - 7
-k-(-8k+7) = 7k + 7
Factor out the value of 7 from the expression
7k + 7 = 7(k+1)
Hence the factored form of the expression is 7(k+1)
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James wants to invest $8,000. He can invest the money at 7.2% interest
compounded quarterly for 30 yr or he can invest at 7% with interest
compounded/monthly
for 30 yr. Which option would be his best investment?
Answers
James should choose Option 1, investing $8,000 at 7.2% quarterly for 30 years as it yields a greater future value.
What is the future value?The future value is the present value of an investment compounded periodically at an interest rate.
The future value can be determined using an online finance calculator.
Investment of $8,000 at 7.2% quarterly for 30 years:N (# of periods) = 120 quarters (30 x 4)
I/Y (Interest per year) = 7.2%
PV (Present Value) = $8,000
PMT (Periodic Payment) = $0
Results:
FV = $68,049.25
Total Interest = $60,049.25
Investment of $8,000 at 7% monthly for 30 years:N (# of periods) = 360 months (30 x 12)
I/Y (Interest per year) = 7%
PV (Present Value) = $8,000
PMT (Periodic Payment) = $0
Results:
FV = $64,931.98
Total Interest = $56,931.98
Thus, comparatively, the investment at 7.2% compounded quarterly yields the best option for James.
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The prior probabilities for events A1 and A2 are P(A1) =.40 and P(A2) =.60. It is also known that P(A1 n A2) = 0. Suppose P(B|A1) =.20 and P(B|A2) =.05. a. Are A1 and A2 mutually exclusive? Explain. b. Compute P(A1 n B) and P(A2 n B). c. Compute P(B). d. Apply Bayes' theorem to compute P(A1|B) and P(A2|B).
Answers
Using probabilities P(A₁) = 0.40 , P(A₂) = 0.60, P(B|A₁) = 0.20, P(B|A₂) = 0.05,
a) No, A₁ , A₂ are not mutually exclusive because , their intersection probability is not a zero.
b) P(A₁∩ B) is 0.08 , P(A₂ ∩ B) is 0.03
c) P(B) = 0.09
d) Using Bayes' theorem P(A₁|B) is 0.89 , P(A₂|B) is 0.33 .
a. A₁ and A₂ are not mutually exclusive, as their intersection probability is non-zero (given as 0 in the problem statement).
b. We can compute P(A₁∩ B) and P(A₂∩ B) using the formula for conditional probability:
P(A₁∩ B) = P(B|A₁) * P(A₁) = 0.20 * 0.40 = 0.08
P(A₂ ∩ B) = P(B|A₂) * P(A₂) = 0.05 * 0.60 = 0.03
c. To compute P(B), we can use the law of total probability, which states that the probability of an event B can be calculated as the sum of the probabilities of B given each possible event in the sample space:
P(B) = P(B|A₁) * P(A₁) + P(B|A₂) * P(A₂) = 0.20 * 0.40 + 0.05 * 0.60 = 0.09
d. To compute P(A₁|B) and P(A₂|B), we can use Bayes' theorem:
P(A₁|B) = P(B|A₁) * P(A₁) / P(B) = 0.20 * 0.40 / 0.09 ≈ 0.89
P(A₂|B) = P(B|A₂) * P(A₂) / P(B) = 0.05 * 0.60 / 0.09 ≈ 0.33
Therefore, the probability that event A₁ occurred given that event B occurred is approximately 0.89, and the probability that event A₂ occurred given that event B occurred is approximately 0.33.
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Solve 3x − x + 2 = 12.
Answers
2x=12_2 2x=10 x=5 that answer
Find an equation for the plane consisting of all points that are equidistant from the points (1,0,-2) and (3,4,0).
Answers
The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).
How is this determined?Given by: The midpoint of the two points is:
M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)
The following vector runs between the two points:
V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)
The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.
The normal vector is then provided by:
N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)
The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:
(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2
The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.
12(x - 2) = -8(y - 2) = 4(z + 1) + 2
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How is this number expressed in scientific notation? 0.01463
Answers
1.463 x 10^-2
commission expense is budgeted to be $16,000 at a planned sales level of 4,000 units. if only 2,900 units are sold, how much commission expense will appear on the flexible budget, and is the activity variance favorable or unfavorable?
Answers
The amount of commission expense that will appear on the flexible budget if 2900 units were sold is; $11600
The activity variance is favourable.
According to the question;
The budgeted commission expenses is to be $16,000 at a planned sales level of 4,000 units.However, only 2900 units are sold.To solve this;
We must be aware that the commission expense is directly proportional to the number of units sold.
In essence;
$16,000 is expected at 4,000 units of sale.Therefore, $x is expected at 2,900 units of sale.By cross product;
x = (2900 × 16000)/4000x = $11,600Ultimately, the activity variance is favourable bas less commission expense is recorded for less sale.
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is 6 divided (-3) the same as -6 divided 3?
Answers
Answer:
Yes
Step-by-step explanation:
Positive divided by negative is negative.
Negative divided by positive is negative.
Remember that negative * negative is a positive and positive * negative is a negative.
A clinical specimen is received in viral transport medium for viral isolation. The specimen cannot be processed for till the following week. At what temperature should the specimen be stored
Answers
To ensure the preservation of the clinical specimen for viral isolation, it should be stored at a specific temperature. The recommended temperature for storing the specimen is generally between 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit).
Storing the clinical specimen in viral transport medium at a temperature range of 2 to 8 degrees Celsius (36 to 46 degrees Fahrenheit) is commonly advised for preserving the viability of the virus. This temperature range helps to slow down the viral activity and prevents the specimen from deteriorating while awaiting processing. It provides an environment that can maintain the integrity of the viral particles until laboratory procedures can be carried out the following week. It's important to follow the recommended storage temperature to ensure accurate results and successful viral isolation from the specimen.
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