Answer:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem. 52+32−−−−−−√=6. Now this diagonal is a leg of the bigger right triangle whose hypotenuse is the required solid diagonal. You can see this from amd's picture. So apply Pythagorean theorem again. 62+(2.5)2−−−−−−−−−√=37.25−−−−√. You can work that out with a calculator.
In general for a cuboid with dimensions a, b and c(order doesn't matter), the solid diagonal is: a2+b2+c2−−−−−−−−−−√
Step-by-step explanation:
Answer:
√62+(2.5)2=√37.25.
Step-by-step explanation:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem.  52+32=6" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;"> 52+32−−−−−−√=6 52+32=6. Now
If Kevin has a total of 81 hours of service, how many weeks has he volunteered?
If Kevin has a total of 81 hours of service, then he volunteered for 0.48 weeks.
As per the question statement, Kevin served as a volunteer for 81 hours.
We are required to find out the number of weeks, he volunteered his service.
To solve this question, we just need to know that a week consists of how many hours ?
We can proceed with the facts that a week consists of 7 days and each day consists of 24 hours. Therefore, a week consists of [tex](24*7)=168[/tex] hours, of which, Kevin volunteered for 81 hours.
Therefore, as per the unitary method, we get that,
168 hours make 1 week, then
1 hour makes [tex](\frac{1}{168})[/tex] weeks, and
81 hours make [tex](\frac{81}{168})=0.48[/tex] weeks approximately.
Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.To learn more about Unitary Method, click on the link below.
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Assume that a company takes 4,500 hours to produce 15,000 units of a product. what is the cycle time for the company? (note: round answer to two decimal places.)
The cycle time for the company is 3.
What is unitary method ?Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.
According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.
Given the company takes 4,500 hours to complete 15000 units
∴ In one hour he company can make 15000/4500 units which is
= 3 units per hour.
So the cycle time for the company is 3 units per hour.
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Martin wants to clean his swimming pool.
He hired a cleaning machine to do this job.
The cost of hiring the cleaning machine was
£35.54 for the first day,
then £18.25 for each extra day.
Estimate how much it would cost to rent the machine for 4 days.
Help plssss
Answer:
90.29
Step-by-step explanation:
I did math
One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?
Answer:122 days
Step-by-step explanation:
Tyra launches a rocket in the air, and her physics teacher told her if h is height and t is time, she can find the height of the rocket at any given time using: h(t)= -16t^2+50t
Interpret the meaning of the point (3.125,0) in terms of the problem situation
The points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
How to determine the value
Given the function;
h(t)= -16t^2+50t
Where;
h is the height of the rocket t is the time taken to reach the heightThe time interval to reach the height of the rocket is ( 3. 125 , 0)
Time interval, t = 0 - 3. 125
Time interval, t = -3. 125
Substitute the value into the formula
h(t) = - 16(-3. 125)² + 50(-3. 125)
h(t) = -16(9. 765) - 156. 25
h(t) = - 156. 25 - 156. 25
h(t) = -312. 5 feet
Thus, the points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
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both my numerator and my denomiater are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
I am the fraction 28/40.
It is given in the question that my numerator and denominator are even numbers. Also, the sum of the numbers is 68 and the fraction I am is equivalent to 7/10.
We have to find the fraction which I am.
Let the fraction I am be 7x/10x.
According to the data given in the question, we can write,
7x + 10x = 68
17x = 68
x =68/17
x = 4
Hence, both the even numbers are :-
7x = 7*4 = 28, and
10x = 10*4 = 40
Hence, the fraction which I am is 28/40.
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Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 miles. Which expression shows Aliya's rate in miles per
1
hour?
The expression shows Aliya's rate in miles per hour will be 1/2.
How to compute the expression?From the information, Aliya hikes up a mountain for 2 hours and during this time, she hikes a distance of 1 miles.
Therefore, the rate will be:
= Distance / Time
= 1 / 2
Therefore, the expression shows Aliya's rate in miles per hour will be 1/2.
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What is the area of the semicircle? Use 3.14 for pi.
150.72 mm^2
138.16 mm^2
69.08 mm^2
189.97 mm^2
The area of the semicircle with the given diameter is 189.97 mm^2
How to determine the area of the semicircle?The given parameters are
Diameter, d = 22 mm
The area of the semicircle is calculated as
A = 1/2 * pi * (d/2)^2
So, we have
A = 1/2 * 3.14 * (22/2)^2
Evaluate the expression
A = 189.97 mm^2
Hence, the area of the semicircle with the given diameter is 189.97 mm^2
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how much do we pay for the mesh around the garden, which has a shape of a square measuring 25m and one ordinary meter of mesh costs 23 euros.
The cost of the mesh measuring 25 m is 2300 euros .
The perimeter of a square is that the distance lined by its four sides. Perimeter surrounds or outlines the form in a very two-dimensional plane.Since all the edges of a sq. square measure equal, therefore, the perimeter of sq. are four times its aspect, i.e. 4 × Side.The perimeter of the sq. is outlined because the total length of the boundary of a sq.. we want to feature all the edges of sq. to seek out its perimeter. By the formula of perimeter of polygonal shape, we know;
Perimeter = add of all sides
Perimeter of sq. = add of the lengths of four sides
= aspect + aspect + aspect + aspect
= 4 × side
First , we will calculate the the perimeter of the square
Perimeter of square = 25 × 4.
= 100 m
Total cost = perimeter required × cost per meter .
Cost of mesh = 100 × 23
= 2300 euros
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Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2
-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.
What is a differential equations explain?
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)
[tex]\frac{-1}{y} = u[/tex]
[tex]\frac{y'}{y^{2} } = u'[/tex]
[tex]xy' - ( 1 + x )y = xy^{2}[/tex]
[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]
xu' + ( 1 + x )u = x
xu' + u + ux = x
xu = s
u + xu' = s'
s' + s = x
s - x =t
s' - 1 = t'
t' + 1 + t = 0
dt/dx = - ( 1 + t)
-∫ [tex]\frac{dt}{1 + t} =[/tex] ∫dx
-ln ( 1+ t ) = x + c
-in ( 1 + s - x ) = x + c
-ln ( 1 + xu - x ) = x + c
-ln ( 1 - x/y - x) = c
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Enclose the error in solving the polynomial multiplication. Then correct it.
Correction:
Answer:
Hello,
Step-by-step explanation:
[tex](t^3+4)(t^3-4)\\\\= (t^3)^2-(4)^2\\\\=t^6-16[/tex]
How do answer this question?
Answer:(0,4)
Step-by-step explanation:
Answer:
(-5, -1)
Step-by-step explanation:
I need help with this asap
The function rules for each of the given tables are;
11) f(x) = 4x
12) f(x) = x - 3
13) f(x) = x + 12
14) f(x) = x/10
15) This doesn't have a function rule.
16) Function rule here is non existent
How to state the required function rule?
11) In this table, we can observe that the output values are all four times the input value. Thus, the function rule here is;
f(x) = 4x
12) In this table, we can observe that the output values are all 3 units less than the input value. Thus, the function rule here is;
f(x) = x - 3
13) In this table, we can observe that the output values are all 12 units more than the input value. Thus, the function rule here is;
f(x) = x + 12
14) In this table, we can observe that the output values are equal to the input value divided by 10. Thus, the function rule here is;
f(x) = x/10
15) This doesn't have a function rule as the values don't match a pattern
16) Function rule here is non existent
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Explain why it’s a bad or good sample. Every other household in a neighborhood of 20 homes is surveyed to determine the country’s favorite presidential candidate?
Answer:
The sample is not random because every other household is surveyed. This means that the sample is not representative of the entire population.
Step-by-step explanation:
This is the answer because, the entire population is not being surveyed, only every other household.
If I spend $35 every 2 weeks, how much do I spend in a year?
The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.
The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.
By cumulative frequency, what do you mean?Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.
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Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.
False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.
A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.What does the term "echelon form" mean?
If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.What purpose does echelon matrix serve?
By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.Learn more about echelon form
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The midpoint of a line segment ab is (1, 2). point a coordinates are (3,-3)
and point b coordinates are (x, 7). find the value of x.
The value of x in (x,7) is -1
Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.
Let one end point of line segment be A(a,b) and other end be B(c,d)
then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)
Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)
The mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)
On comparing the x coordinate we get
[tex]1=\frac{3+x}{2}[/tex]
On cross multiplying we get
[tex]2=3+x[/tex]
On solving further
[tex]x=-1[/tex]
Therefore , the value of x in (x,7) is -1.
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Consider the set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters (inclusive).
In the situation above, the domain is [Select] and the range is [Select].
The domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The range is going to be a set of real numbers from 0 to 6.
What is the range and domain?The domain of a function is the set of input values that we are allowed to plug into our function. This set is the x-values in a function.
The range of a function is the set of output values that the function assumes.
Now, we are told that there is a set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters
Now, from conversions, we know that 1 quarters is equal to 0.25 dollar.
Thus, the domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The maximum output value will be; 1.5/0.25 = 6
Meanwhile, the range is going to be a set of real numbers from 0 to 6.
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If 25,197,624 hot dogs are packaged in sets of 4, how many will be left over?
Answer:6,299,406
Step-by-step explanation:
Ms. Wells has 16 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answers should be in simplest form.
Group of answer choices
6/18
12/16
3/4
1/12
Answer: 3/4
Step-by-step explanation: because 12/16 simplified is 3/4
I went to a toy shop and bought a toy car which costs $16.80, but there was a 20% discount. how much did I pay?
Step-by-step explanation:
16.80 - 20% of 16.80 = 13.44
you paid 13.44$
Answer:
=13.44
Step-by-step explanation:
0.20×16.80=3.36
16.80-3.36=13.44
Factorise 6-x^2
will award brainliest to correct answer.
Answer:
the question should have something in between 6 and x
Given the points a(- 1, 2) and b(7, 10), find the coordinates of the point p on the directed line segment that partitions in the ratio 1:3. plot p along with segment ab
The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).
x = [m(x₂) + n(x₁)]/(m + n)
And,
y = [m(y₂) + n(y₁)]/(m + n)
So,
x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1
y = [1(10) + 3(2)]/(1+3) ⇒ y = 4
Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".
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the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO
Answer:
5
Step-by-step explanation:
Answer:
LM:MN:
NO =3:
3N
Step-by-step explanation:
5 x=10
if u have 5 apple and 10 cakes how many do u come up with
Answer:
x = 2
Step-by-step explanation:
Equation: 5x = 10
--- Divide 5 on both sides
x = 2
This means that each apple can make 2 cakes.
Answer: 2
Step-by-step explanation: because if u divide both sides by 5
Please helppppp me !,!!!!
Answer:
The last option
y = ⅓x-3
Step-by-step explanation:
Slope-intercept form :
y=mx+c
[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]
[tex]y = \frac{1}{3} x - 3[/tex]
Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.
How do you define the scientific notation?To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.
The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.For the given value;
= 49,000 grams
write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10
= 4.9000 × 10⁴
This could be written as;
= 4.9 × 10⁴.
Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.
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of her loan?
10. Britta has been accepted into a 2-year medical assistant program at a career school. She has
been awarded a $6,000 unsubsidized 10-year federal loan at 4.29%. She knows she has the
option of beginning repayment of the loan in 2.5 years. She also knows that during this
nonpayment time, interest will accrue at 4.29%.
Britta made her last monthly interest-only payment on May 5. Her next payment is due on
June 5. What will be the amount of that interest-only payment?
Answer: $21.86 i just found this on the web buts its right
Find the equation of the line shown.
Answer: y=0.5x+0.5
Step-by-step explanation:
[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]
Multiply both parts of the equation by -2:
[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]
Thus,
y=0.5x+0.5
