The surface area of the solid cuboid 7m 6m and 3m. total surface area of cuboid is 162 [tex]m^{2}[/tex].
What is a cuboid?A cuboid is a six-sided solid known as a hexahedron in the geometry. Quadrilaterals make up its faces. Cuboid implies "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces. A cuboid is a convex polyhedron with the same polyhedral graph as a cube in mathematics.
A cube with six square faces, a rectangular prism, rectangular cuboid, or a rectangular box with six rectangle faces are special situations. In both circumstances, the faces of the cube and the rectangular prism come together at a right angle.
total surface area of cuboid
= 2(lb+bl+lh)
=2(7×6+6×3+3×7)
=2(81)
=162 [tex]m^{2}[/tex]
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30 POINTS I need it quick with an explanation
The unit rate of the graph is is inches per hour
How to find unit rates of graphsA graph will hold as many information as the plotter will wish to give it. The information the graph has the more compicated wit will be
The graph plotted is a graph of snowfall in inches against time in hours. The input values of the graph is the time in hours while the snow fall in inches is the output values
The unit rate of graphs is gotten from the the units plotted against the other unit. Here it is inches against hours
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The number of seconds that it takes for a kettle to boil, n, is
inversely proportional to its power in kilowatts, p.
The equation of proportionality is n
280
p
Work out the power of the kettle if it takes 70 seconds to boil.
If your answer is a decimal, give it to 1 d.p.
The power of the kettle if it takes 70 seconds to boil is 4 kilowatts.
It is given in the question that the number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
Also, The equation of proportionality is n = 280/p.
We have to find the power of the kettle if it takes 70 seconds to boil.
According to the data given in the question, we can write,
n ∝ 1/p
n = k/p
Where k is the constant of proportionality.
Hence, k = 280
n = 280/p
Putting n = 70 seconds in the equation, we get,
70 = 280/p
p = 280/70
p = 4 kilowatts.
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Please help!!!
Create an equivalent expression for 18^-7 • 18^5
1. -18^2
2. 18^2
3. 1/18^-2
3. 1/18^2
For an equivalent expression for [tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex] it is option 4 that is correct that means the equivalent expression can be seen as [tex]\frac{1}{18} ^{2}[/tex].
What analogous expressions are there?Expressions that can be considered are equivalent do the same thing even when they have distinct appearances. When we get to enter the same value(s) for the same variable, two algebraic expressions that are equivalent have the same value (s).
Calculating the equivalent expression,
[tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex]
= [tex]18^{-7+5}[/tex]
=[tex]18^{-2}[/tex]
= [tex]\frac{1}{18} ^{2}[/tex]
What is a good example of an equivalent expression?An expression that can be considered equivalent to another phrase but then differs in appearance is the one that has the same value or worth. In algebra, we can say 2(2x – 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.
Which two expressions are interchangeable?When two expressions can be reduced to a single thread expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. You can also determine whether two expressions are equivalent.
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A car travels a distance of 2.6 kilometers.
What is this distance in meters?
10 millimeter (mm) =1 centimeter (cm)
100 cm =1 meter (m)
1000 m =1 kilometer (km)
CLEAR CHECK
meters
Answer:
2600 meters
Step-by-step explanation:
2.6x1000
please answer ASAP....
THANKS...
for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.
We are given the function:
f (x) = x² + 2 x + 1
We need to complete the given table of values for x and f (x)
For x = - 3:
f (- 3) = (- 3)² + 2 (- 3) + 1
f (- 3) = 9 - 6 + 1
f (- 3) = 4
For x = - 2:
f (- 2) = (- 2)² + 2 (- 2) + 1
f (- 2) = 4 - 4 + 1
f (- 2) = 1
For x = - 1:
f (- 1) = (- 1)² + 2 (- 1) + 1
f (- 1) = 1 - 2 + 1
f (- 1) = 0
For x = 0:
f (0) = (0)² + 2 (0) + 1
f (0) = 0 + 0 + 1
f (0) = 1
For x = 1:
f (1) = (1)² + 2 (1) + 1
f (1) = 1 + 2 + 1
f (1) = 4
For x = 2:
f (2) = (2)² + 2 (2) + 1
f (2) = 4 + 4 + 1
f (2) = 9
For x = 3:
f (3) = (3)² + 2 (3) + 1
f (3) = 9 + 6 + 1
f (2) = 16
Table:
x - 3 - 2 - 1 0 1 2 3
y 4 1 0 1 4 9 16
Therefore, for the different values of x, we have found the values of the function f (x) = x² + 2 x + 1.
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Error Analysis On a math test the students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°. What is the measure of the other acute triangle?
What error might the student have made?
Error might the student have made was in angle 147 as acute angle means angle less than 60°
What is acute angle ?Acute angles are those that range in size from 0 to 90 degrees and are smaller than 90 degrees. Examples include 60, 30, 45, and other angles. An acute triangle is a triangle with all of its internal angles smaller than 90 degrees. An equilateral triangle, for instance, is an acute triangle because the internal angles are 60°.
Less than 90° of an angle is referred to be an acute angle. An acute angle, for instance, is formed when the time is 11 o'clock between the hour hand and the minute hand. Consequently, acute angles include 30°, 40°, 57°, and others.
Given that : The students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°.
As the acute angles are angles less than 90°
and they have measure as 147°
So the error was in measure angle as 147°
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Which lines are parallel
FM and GB
MB and FG
MB and GB
FM AND FG
Answer:
FM and GB
Step-by-step explanation:
the angles are corresponding meaning that the lines must be parallel
A server earns a dollars per hour at a restaurant in addition to tips. If during a 6-
hour shift, the server earns $164.50 in tips, what is the minimum amount the
must earn per hour to make at least $184 total during the shift, in dollars and cents?
server
Answer: $3.25 an hour.
Step-by-step explanation: If the server wants to make 184 dollars and they already made 164.50, you subtract 184 by 164.50. 184-164.50= 19.50
That is how much the server made without tips over the course of 6 hours, and we want the amount they made in 1 hour. So we now divide 19.50 by 6. 19.50/6=3.25
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=8800(1.573)^x
y=8800(1.573)
x
The given exponential function represents the growth in function with a percentage increase as 57.3%.
Given we have the exponential function as :
y=8800(1.573)ˣ
it is in the form of: y=k.aˣ
therefore, if a>2 then the function represents growth.
and if a<1 then the function represents decay.
now, x=1.573
1.573 > 1
so, the function represents change in growth.
therefore, 1.573 - 1
= 0.573
= 57.3%
hence the change in growth of the function is increased by 57.3%.
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2x+3y=13
4x-y=-2
Find x and y
Answer:
x = 1/2, y = 4
Step-by-step explanation:
2x + 3y = 13----------> 2x + 3y = 13
4x - y = -2------------> 12x - 3y = -6
-----------------
14x = 7
x = 1/2, y = 4
What is the perimeter of the isosceles triangle?
Side A- 3x - 5
Side B- 2x
Side C- 19 - x
Answer:
perimeter of triangle = a + b + c
perimeter = 3x-5+2x+19-x
= 6x + 14
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Answer: P=2a + b which = A- 3x - 5
Step-by-step explanation:
Simplify.
16-8+5x-3x
08+8x
O 10 x
08+2x
O 16+ 2 x
Help please
Step-by-step explanation:
The answer is 8+2x . This is the correct answer .
Which expression is equivalent to 5p+7p
Answer:
all those that give 12p as a result (look at the examples)
Step-by-step explanation:
Which expression is equivalent to 5p+7p
5p + 7p = 12p
4p + 8p = 12p3p + 9p = 12p6p + 6p = 12pneed help y’all pls ♀️
The value of x in the triangle extended through W to X is 39.5°.
What will be the value of x in the triangle?It should be noted that a triangle has a total angle of 180° and also has three sides. Based on the information given, the following can be deduced:
Angle 1 = 3x - 4.
Angle 2 = 6x + 6
Angle 3 = x + 20
Therefore, the value of x will be gotten by adding the values and equating to 180°. This will be:
3x - 4 + 6x + 6 + x + 20 = 180
4x + 22 = 180
Collect like terms
4x = 180 - 22
4x = 158°
Divide
x = 158/4
x = 39.5°
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Answer: 39.5°
Step-by-step explanation:
what is the value of m in the figure below? if necessary, round your answer to the nearest tenth of a unit.
The value of m in the right triangle to the nearest tenth is 7.2 units.
How to find the side of a right triangle?The figure above is a right triangle.
The right triangles are similar.
Therefore, right triangle ABC is similar to right triangle BDC.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore, let's find the value of m using the similar triangle principle,
m / 13 = 4 / m
cross multiply
m × m = 13 × 4
m² = 52
square root both sides
√m² = √52
m = 7.21110255093
Therefore,
m = 7.2 units.
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5-(-1-2)^2 or to the power of two
And |x/x+y|-x^2+y (x=2 y=-3)
The values of the expressions are
5 - (-1 - 2)^2 = -4|x/x+y| - x^2 + y = -5How to determine the value of the expressionExpression 1
5-(-1 - 2)^2
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = 5 - (-3)^2
Evaluate the exponent in the expression
So, we have
5 - (-1 - 2)^2 = 5 - 9
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = -4
Expression 2
|x/x+y| - x^2 + y
When x = 2 and y = -3
Substitute x = 2 and y = -3 in |x/x+y| - x^2 + y
So, we have
|x/x+y| - x^2 + y = |2/2 - 3| - 2^2 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = |2/-1| - 2^2 - 3
Evaluate the quotient and the exponent in the expression
So, we have
|x/x+y| - x^2 + y = |-2| - 4 - 3
Remove the absolute bracket
|x/x+y| - x^2 + y = 2 - 4 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = -5
Hence, the solutions to the expressions are -4 and -5
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Write the equation of the line that passes through the points (−8,−9) and (3,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-8)}}} \implies \cfrac{-4 +9}{3 +8} \implies \cfrac{ 5 }{ 11 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ \cfrac{ 5 }{ 11 }}(x-\stackrel{x_1}{(-8)}) \implies {\large \begin{array}{llll} y +9= \cfrac{ 5 }{ 11 } (x +8) \end{array}}[/tex]
the survival times of guinea pigs inoculated with an infectious viral strain vary from animal to animal. the distribution of survival times is strongly skewed to the right. the central limit theorem says that
The correct option regarding the central limit theorem is given as follows:
The average survival time of a large number of guinea pigs has a distribution that is close to normal.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean given by [tex]\mu[/tex] and standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, as is the case in this problem, the sampling distribution is also approximately normal, as long as n is at least 30.
For this problem, we have that the distribution is strongly skewed, hence it will only be normal for large sample sizes, and the last option is correct.
What is the missing information?The options are given by the image at the end of the answer.
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14. Simplify - 17/0
0
17
undefined
-17
The simplification of number 17/0 gives the undefined form.
What is defined as the undefined form?Undefined in mathematics refers to a term that really is mathematically inexpressible or meaningless. The rules of mathematics consider whatever divided by zero to be undefined.A number multiplied by zero could result in any number (real or imaginary)A number divided by zero could represent an entity that has not yet been defined.Division of the a number by zero is illogical.If x=a/0, there is no solution!It may return a number that is not real or imaginary.For the given question;
The expression is 17/0
Let us say that 17/0 = x
Its means; 17 = x ×0
17 = 0
But , 17 ≠ 0
As, given expression 17/0 can not be defined by any number.
Thus, 17/0 is an undefined term.
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What is the solution to the equation below?
5 + (10 × 8) ÷ 5 - 7 = ?
A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.Part AWhat is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet Part BTo the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground? The rock hits the ground approximately ...............................seconds after being dropped.
SOLUTION:
Step 1:
In this question, we have the following question:
A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.
Part A
What is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet
6 .
Step 2:
Part B
To the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground?The rock hits the ground approximately ...............................seconds after being dropped.
0.8
5. 1 4/5 x 5/12 = ??????????
whats the answer
Answer:
Step-by-step explanation: the answer is .75. your welcome
the answer is 3/4 or 0.75
Please explain!!!
A clock face has a radius of 8 inches. What is the area of the clock face. Round your number to nearest hundredth.
Answer:
200.96 square inches
Step-by-step explanation:
it's asking for the area of a circle
we know that the radius is 8, so we can just plug it into the circle area formula which is
area = (pi) r^2
you plug in 8 for r (r stands for radius)
8^2 is 64
64 times pi is 200.96 (because pi=3.14)
11.) Janiya plans on passing out Halloween candy
this year. She purchased 5 bags of Skittles TM for
$4.50 each. She purchased 3 bags of Nerd TM for
$3.75 each. Finally she purchased some full sized
Snickers TM bars for $1.25 each. How many full
sized bars did she purchase if her total bill was
$102.50? Define the variable.
Answer:
82 because 102.50/1.25=82
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Step-by-step explanation:
What is the distance between the following points
Choose 1 answer:
√63
√77
√79
√85
Check the picture below.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~7 - (-2)~~)^2 + (~~9 - 7~~)^2} \implies d=\sqrt{(7 +2)^2 + (9 -7)^2} \\\\\\ d=\sqrt{( 9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }[/tex]
-3a²+9a²-11a²-3x² simplify
Answer:
211a+9x
Step-by-step explanation:
first, calculate the exponents (the number times itself) of each number
9a +81a +121a+9x
the reason they are positive is that a negative times a negative equals a positive ex: -3 x -3 = 9
next, combine the coefficients
starting with the variable for a
9a+81a+121a= 211a
x has no other coefficients so it would remain 9x
so the simplified answer would be
211a+9x
Austin has $100,000 in a savings account that earns 142% interest per year. The interest is
not compounded. How much will he have in total in 1 year?
The total amount received at the end of 1 year will be 242000
The amount available in Austin's saving account: $100,000
Rate of interest = 142% per year
Simple interest: Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula for simple interest is given:
Simple Interest = P*R*T/100
where P = principal amount invested
R = rate of interest per year
T = time in years for which the amount is invested
Substituting the values in the formula we get:
Simple interest = 100000*142*1/100
= 142000
Total amount after 1 year = Principal invested + Simple interest earned
= 100000 + 142000
= 242000
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If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks, how many possible meals can you order if you do or don't get one of each item?
Answer:
4 * 5 * 6 = 120 possible meals can we order.
Step-by-step explanation:
given that-
If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks
4 * 5 * 6 = 120 combinations or Ways to Order
we can order the main dish in 4 different ways. Then, we can choices for sides in 5 different ways and the drinks in 6 different ways.
(The outcome of the selection of the first does not influence the second or third)
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y is inversely proportional to a³
When a = 2, y = 10
a is directly proportional to x
When x = 4, a = 20
Find a formula for y in terms of x.
Give your answer in its simplest form.
The formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]
What is proportionality?Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Given that,
Y is inversely proportional to a³ When a = 2, y = 10
A is directly proportional to x when x = 4, a = 20
If y is inversely proportional to a³
[tex]\frac{y}{x^{3} }[/tex]∝1
y = [tex]\frac{k}{a^{3} }[/tex], where k is the proportionality constant
Given, a=2, y=10, then 10 = [tex]\frac{k}{2^{3} }[/tex]
k = 10 × 2³
k = 80
Substituting k = 80 back into the formula;
y = [tex]\frac{80}{a^{3} }[/tex]............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = [tex]\frac{20}{4}[/tex]
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = [tex]\frac{80}{a^{3} }[/tex]
y = [tex]\frac{80}{5x^{3} }[/tex]
y = [tex]\frac{80}{125x^{3} }[/tex]
y = [tex]\frac{16}{25x^{3} }[/tex]
Therefore, the formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]
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Find each sim for 10,000+2,000+60+1 I tried searching it up
And I could not find it
The sum of the expression 10,000 + 2,000 + 60 + 1 is 12061
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the sum of the expression?The expression is given as
10,000 + 2,000 + 60 + 1
The sum of the expression can be calculated using a calculator
So, we have
10,000 + 2,000 + 60 + 1 = 12061
Hence, the value of the sum 10,000 + 2,000 + 60 + 1 is 12061
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