Answer:
72.5 lbs
Step-by-step explanation:
32.65/.45
I hope this helps :)
What is the sum of the interior angles of the polygon shown below?
Answer:
900°
Step-by-step explanation:
formula:
(n-2) x 180°
n = number of sides of polygon
5 x 180 = 900°
If my answer is incorrect, pls correct me!
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-Chetan K
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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A rectangular shelf has an area of 288 square inches. Its perimeter is 72 inches. What are the dimensions of the shelf?
I need help with this
Answer:
perimeter=4×length
so 72= 4l
divide through by 4
length=18
Answer:
24 inches x 12 inchesStep-by-step explanation:
Perimeter
2l + 2w = 72l + w = 36Area
lw = 288From the perimeter
Reaarrange the equation of the perimeter so that it equates to one of the variablesl = 36 - wSubstituting in the area formula
(36 - w)(w) = 28836w - w² = 288w² - 36w + 288 = 0w² - 24w - 12w + 288 = 0w(w - 24) - 12(w - 24) = 0(w - 12)(w - 24) = 0w = 24, 12The greater value of the two will be the length, and lesser value will be the width.
Dimensions are : 24 inches x 12 inches
It costs $3.24 for a pack of 18 pencils.
Find the unit price in dollars per pencil.
If necessary, round your answer to the nearest cent.
The answer is 2.09
Step-by-step explanation:
PLEASE HELP DUEEE NOW !!!A diagram of a roundabout that is being designed to improve driver safety on a busy road is shown. The radius of the circular field planned for landscaping is 27.5 feet. What is the approximate distance around the outside of the circular field?
A. 345.4 feet
B. 172.7 feet
C. 86.35 feet
D. 2,323.1 feet
The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.
How to evaluate for the circumference of a circleTo calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).
We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:
Radius of the circular feild = 27.5
circumference of the circular feild = 2 × 27.5 feet × 3.14
circumference of the circular feild = 55 feet × 3.14
circumference of the circular feild = 172.7 feet.
Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.
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Please help!!
Find BD
Answer: \(8\sqrt{2}\)
==========================================================
Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.
\(a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{8^2 + 8^2}\\\\x = \sqrt{2*8^2}\\\\x = \sqrt{8^2*2}\\\\x = \sqrt{8^2}*\sqrt{2}\\\\x = 8\sqrt{2}\\\\\)
So that's why the diagonal BD is exactly \(8\sqrt{2}\\\\\) units long
Side note: \(8\sqrt{2} \approx 11.3137\)
using the given function g(x) in comparison to its parent function f(x)=x^2 describe the transformation that occurred. g(x)=(x+5)^2
Answer:
the number has 2 resumable 6+5
What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
• -1/2
• 2
• -2
• 1/2
Answer:
-2
Step-by-step explanation:
Slope of a line, given two points : formatslope=y2−y1x2−x1=4−2−2−(−1)=2−1=−2
Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
Having cereal for breakfast more often is associated with having more bowls to wash.
Making pancakes more often is associated with flipping pancakes more often.
Frying eggs more often is associated with cooking bacon more often.
Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
Owning more goats is associated with owning more sheep.
Owning more chickens is associated with having more eggs.
Owning more horses is associated with having a larger stable.
Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?
Eating hot dogs more often is associated with eating coleslaw more often.
Eating sandwiches more often is associated with eating bread more often.
Eating burgers more often is associated with eating french fries more often.
Required correct options are having cereal for breakfast more often is associated with having more bowls to wash, owning more chickens is associated with having more eggs, none of them respectively.
The relationship that most likely reflects correlation but not causation is "Having cereal for breakfast more often is associated with having more bowls to wash." There is a correlation between eating cereal for breakfast and having more bowls to wash, but eating cereal does not cause the increase in dirty dishes.
The relationship that most likely reflects both correlation and causation is "Owning more chickens is associated with having more eggs." There is a clear causal relationship between owning chickens and having more eggs, as the chickens lay the eggs.
The relationships that are left are:
Frying eggs more often is associated with cooking bacon more often.
Owning more goats is associated with owning more sheep.
Owning more horses is associated with having a larger stable.
Eating hot dogs more often is associated with eating coleslaw more often.
Eating sandwiches more often is associated with eating bread more often.
Eating burgers more often is associated with eating french fries more often.
None of these relationships can be definitively classified as reflecting only correlation or both correlation and causation without additional information. However, some of them are more likely to reflect causation than others based on common sense and prior knowledge. For example, the relationship between frying eggs more often and cooking bacon more often is likely to reflect a causal relationship, as it makes sense that someone who frequently cooks eggs would also frequently cook bacon to go with them.
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What is the lateral and total surface area of the square pyramid if the base of the pyramid which is a sqare is 6 and the height is x and the height of the pyramid is 16
HELPPPP
The lateral and total surface area of square pyramid is 128 and 96.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The qualities of a rectangle are comparable to those of a square. As a result, a rectangle is only considered a square if all four of its sides have the same length.
The following are the most significant qualities of a square:
All four inner angles are 90 degrees.All four sides of the square are congruent, or equal.The square's opposite sides are parallel to each other.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.(side)² Equals square area
square perimeter=4*side
Now,
Given that side of squared base=6
and height of pyramid is =16
Then lateral surface area =4*area of 4 triangles
=4*1/2*3*16
=96
and Total surface area=Lateral surface area + area of base
=92+6*6
=128
hence,
The lateral and total surface area of pyramid is 128 and 96.
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Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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percent of change 12 inches to 36 inches
Answer:
Step-by-step explanation:
To find the percent of change from 12 inches to 36 inches, we can use the following formula:
percent change = (new value - old value) / old value x 100%
Using this formula, we can substitute the values:
percent change = (36 - 12) / 12 x 100%
percent change = 24 / 12 x 100%
percent change = 200%
Therefore, the percent of change from 12 inches to 36 inches is 200%. This means that the value increased by 200% or tripled in size.
Answer:
200%
Step-by-step explanation:
36 - 12 = 24 inches
So, it changes 24 inches
Percent of change 12 inches to 36 inches?
We take
24 divided by 12, time 100 = 200%
So, the percent of change is increase by 200%
light travels about 186,000 mi / s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 36 s?
The distance that the light travels on 36 seconds is 6696000 miles.
How to calculate the distance?From the information, it was illustrated that light travels about 186,000 mi/s and the function d(t) = 186,000t gives the distance.
Therefore, the distance in 36 seconds will be:
d(t) = 186,000t
= 186000 × 36
= 6696000 miles.
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-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
O Search
C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
-12 41/24 in simplest form.
Answer:
-13 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining 12 and 24/24, we get 13, and thus have: -(13 17/24), or
-13 17/24
Answer:
-11 17/24
Step-by-step explanation:
-12 41/24 is equivalent to -(-12 41/24), or - (12 + 24/24 + 17/24)
Combining -12 and 24/24, we get -11, and thus have: -(11 17/24), or
-11 17/24
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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Find the length of side x in simplest radical form with a rational denominator.
Answer:
\(6\sqrt{3}\)
Step-by-step explanation:
because of the 90-60-30 theorem
which \(6*\sqrt{3}=6\sqrt{3}\)
√(x2−2x−2)+√(2x−3)=5
\(\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5\)
We know
if x=√a+√b then
x^2=a+b+2√ab\(\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2\)
\(\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25\)
\(\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2\)
\(\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}\)
\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}\)
\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}\)
\(\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4\)
\(\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0\)
Solving furtherThe equation has no real solutions .(attached a pic of calculator )
Answer:
\({ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}\)
• let's first collect like terms
\({ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}\)
• Then, let's take a square:
\({ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}\)
Answer: x = 3(-1 + i) or 3(-1 - i)
A cup of tea is placed on a table. At a time of t minutes after being placed on the table, its temperature in degrees Celsius is given by
T = 20 + Ae⁻ᵏᵗ
Where A and K are positive constants. The initial temperature of the tea was 70℃
a. Find the value of A
b. The tea takes 4 minutes to decrease in temperature from 70℃ to 50℃
show that k = 1/4 In (5/3)
please can someone explain how to get the time (t minutes) as well as a. and b. as i am baffled! i dont know what to do
Thankyouu!!
Step-by-step explanation:
To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.
a. Finding the value of A:
We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:
70 = 20 + Ae^(0) (since e^0 = 1)
70 - 20 = A
A = 50
So the value of A is 50.
b. Finding the value of k:
We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.
Substituting T = 70 and t = 4 into the equation, we have:
70 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
50 = 50e^(-4k)
Dividing both sides by 50:
1 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(1) = ln(e^(-4k))
0 = -4k
Dividing both sides by -4:
0 = k
However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4(0))
50 = 20 + 50e^0
50 = 20 + 50(1)
50 = 20 + 50
50 = 70
Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.
Let's try another approach:
Substituting T = 50 and t = 4 into the equation, we have:
50 = 20 + 50e^(-4k)
Subtracting 20 from both sides:
30 = 50e^(-4k)
Dividing both sides by 50:
0.6 = e^(-4k)
Taking the natural logarithm (ln) of both sides:
ln(0.6) = ln(e^(-4k))
ln(0.6) = -4k ln(e)
ln(0.6) = -4k(1)
ln(0.6) = -4k
Simplifying further:
k = ln(0.6) / -4
Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:
k = ln(5/3) / 4
To recap:
a. The value of A is 50.
b. The value of k is approximately k = ln(5/3) / 4
.
Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.
Help me please it’s due tomorrow!!!!!
Answer:
130 more dollars.
Answer:
130
Step-by-step explanation:
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
You are a business owner and you want to know if you have made a profit
for the month. You are given the following information:
1. The monthly salary of your employees is Php 10000.00 each and you
have 5 employees.
2. The store rent is Php 40,000.
3. Utilities expenses amount to Php 20,000.00
4. 200 pieces of your product were sold at Php 1000.00 each.
Questions: Did your business make a profit for the month? How much?
Why?
Pleae help PLEASE
Answer: Yes the business made a profit for the month. They made $90,000 net profit. They made a profit of $90,000 after all the taxes were deducted.
Step-by-step explanation: 200 times $1000 = $200,000. $200,000 - $50,000 = $150,000. $150,000 - $40,000 = $110,000. $110,000 - $20,000 = $90,000
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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What is the image of the point (-10, 6) after a 90 degree counterclockwise
rotation?
After a 90-degree counterclockwise rotation of the point (-10, 6); the image point will be (- 6, - 10) .
As we all know, when a point ( x, y ) rotates counterclockwise, then the new coordinates of the given point are ( -y, x ).
Here the given point is (-10, 6) , where x = -10 and y = 6 ; as we know after rotation new x will be -6 and new y will be -10 .
So, after rotation the new coordinates will be ( -6 , -10 ) .
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list 0.43, 5, 6 and 4.7 from least to greatest
Answer:
0.43, 4.7, 5, 6
Step-by-step explanation:
\(0.43<4.7<5<6\)
Given P(A) = 0.6, P(B) = 0.79 and
P(A and B) = 0.544, find the value of P(B|A),
rounding to the nearest thousandth, if necessary.
\(P(B|A) = \frac{P(AandB)}{P(A)}\)
Answer:
0.3324
Step-by-step explanation: