a) Surface area of this cuboid = 214 cm²
b) Surface area of the tower = 474 cm²
Dimensions of cuboid :
Length (l) = 6 cm
Width (w) = 7 cm
Height (h) = 5 cm
The Surface Area of Cuboid (SA) = 2(lw + lh + hw)
SA = 2(6×7 + 6×5 + 5×7)
= 2(42 + 30 + 35)
= 2×107
The Surface Area of Cuboid = 214 cm²
Dimensions of tower :
Length (l) = 6 cm
Width (w) = 7 cm
Height (h) = 15 cm
The Surface Area of Tower = 2(lw + lh + hw)
= 2(6×7 + 6×15 + 15×7)
= 2(42 + 90 + 105)
= 2 × 237
The Surface Area of Tower = 474 cm²
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Solve the following system of linear equations by elimination. answer the questions provided.
6x + 8y = -28
-3x - 4y = 14
How many solutions does the system have?
Answer:
(x, y) = (x 7/2, -3/4x m) x € R
what is the formula of sin90degree
Answer:
hypotenuse 2 is the answer
√x-3 +3=x
is it extraneous or not?
Answer:
extraneous
Step-by-step explanation:
extraneous
-6(a+8) i need help ASAP i have to show my work
Answer
-6a - 48
Solution
-6 x a= -6a
8 x -6= 48
-6a - 48
The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean μ = 9.12
ounces and standard deviation = 0.05 ounce.
What bag weight is at the 84th percentile of the distribution?
Use the empirical rule and do not round.
ounces
It should be noted that the bag weight that is at the 84th percentile of the distribution is 9.17 ounce.
How to illustrate the information?It's important to vompute the z-score for 84th percentile then find the 84th percentile of the distribution for bag weight.
From the standard normal table, the indicated z score for the area of 0.8400 and indicative area 0.8400 is 0.99.
The z-score is 0.99.
The 84th percentile (P) of the distribution for bag weight will be:
= 9.12 + (0.09 × 0.05)
= 9.12 + 0.05
= 9.17.
Therefore, the 84th percentile of the distribution for bag weight will be 9.17.
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I really need help I don't know how to solve this. : (
An object is traveling at a steady speed of 9 9/10 mi/h. How long will it take the object to travel 2 1/10 mi? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answer:
12.73 mins
Step-by-step explanation:
velocity: 9.9 mi/h
distance: 2.1 mi
d=vt
t = d/v = 2.1/9.9 = 0.21h
convert to minutes: 2.1/9.9 x 60 = 12.73 min
{y=-2x-1
{4x+2y-12
Answer:
x = -14
Step-by-step explanation:
ez I GOTCHU (pls give brainliest :D)
alr so we got y = -2x-1. we need to substitute that into the equation
4x + 2 (-2x-1) - 12 is ur equation
4x + -4x -2 - 12
-14 = x
pls branliest
Use the definition of vampire numbers to determine if the product is a vampire.
15x93=1395
Select the correct answer below and fill in the answer box to complete your choice.
(Use a comma to separate answers as needed.)
OA. The product is not a vampire.
OB. The product is a vampire. The surviving digit(s) is/are
it's a vampire !
the surviving digits are 1, 3, 9 ,and 5.
unless i have the wrong definition of a vampire number.
the following test have all been ordered at the same time on different inpatients. there is only one phlebotomist on duty. which test should the phlebotomist collect first?
The phlebotomist should first collect STAT electrolytes in the ER.
A medical professional who is trained to draw blood samples from patients is known as phlebotomist. The process of taking blood from vein with the help of a needle is known as phlebotomy. An electrolyte test is a blood test that give information about an electrolyte imbalance in the body.
Electrolytes are minerals and salts, such as sodium, Chloride, potassium, and bicarbonate which are found in the blood. These are responsible for conducting electrical impulses in the body. STAT is a short form of a Latin word 'Statim' which means immediately. The phlebotomist should first collect STAT electrolytes in the ER.
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What is the solution set to the equation 2/7-m=4/m - 5-m/7-m
The equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m
How to determine the solution set to the equation?The equation is given as
2/(7 - m) = 4/(m - 5) - m/(7 -m)
Take the like terms of the above equation
So, we have
m/(7 -m) + 2/(7 - m) = 4/(m - 5)
Evaluate the like terms in the above equation
So, we have
(m + 2)/(7 -m) = 4/(m - 5)
Cross multiply the above equation
So, we have
m^2 + 2m - 5m - 10 = 28 - 4m
Evaluate the like terms
m^2 + m + 18 = 0
Using a graphing tool, we have no solution for m
Hence, the equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m
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samuels m, witmer j, and schaffner a, (2016) statistics for the life sciences (5th or global edition), boston, ma: pearson
This is 5th edition of the book.
Statistics a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data
This is a book related to statistics for the life sciences which was written by three persons named MYYRA L SAMUELS, JEFFERY A WITNER, ANDREW SCHAFFNER. This book is fully related to life sciences .
It depicts how many no. of animals found in the region and what is the no. of lions or how many giraffe is found in that area or how many different species is found in particular area.
So, all these things they are given with the help of statistics.
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Use the Quadratic Formula to solve the equation x2 - 2x = - 9
The required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]
What is Quadratic Formula?In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation.
Given a general quadratic equation of the form
ax^2 + bx + c = 0
with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is:
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]
and,
Now the given quadratic equation is,
x^2 - 2x = - 9
or, x^2 - 2x + 9 = 0
here, a = 1
b = -2
c = 9
Thus quadratic formula is given as,
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]
[tex]{\displaystyle x={\frac {-(-2)\pm {\sqrt {(-2)^{2}-4*1*9}}}{2*1}}[/tex]
[tex]{\displaystyle x={\frac {2\pm {\sqrt {4-36}}}{2}}[/tex]
[tex]{\displaystyle x={\frac {2\pm {\sqrt {(-32)}}}{2}}[/tex]
Thus,we get,
[tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex]
[tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]
Thus,the required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]
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35892 rounded to the nearest ten thousand
Answer:
40,000
Step-by-step explanation:
Sove for x: 3 - (2x - 5) < - 4(X + 2)
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
Simplify
3−(2x−5),
−2x+8<−4(x2)
Simplify −4(x+2).
−2x+8−4x−8
Move all terms containing x to the left side of the inequality.
2x+8<−8
Move all terms not containing x to the right side of the inequality.
2x<−16
Divide each term in 2x<−16by 2 and simplify.
x<−8
The result can be shown in multiple forms.
Inequality Form:
x<−8
Interval Notation:
(−∞,−8)
What is inequality form ?
The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.
What is interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.
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What are the key features of the function below
NEED TO ANSWER ASAP
The function is positive on (-4, -3), and (-1, 4),
the function is negative on (-3, -1),
the function increases on (-2, 2), and
the function decreases on (-4, -2) and (2, 4).
The key features of the function given in the graph are:
Positive intervalsNegative intervalsIncreasing intervalsDecreasing intervalsPositive intervals:
Here we need to say at which intervals the value of the graph is positive.
That is at which intervals the graph is above the x-axis.
It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)
Negative intervals:
Here we need to say at which intervals the value of the graph is negative.
That is at which intervals the graph is below the x-axis.
It is clear from the graph that the function is negative on (-3, -1).
Increasing intervals:
Here we need to say at which intervals the value of the function increases.
That is at which intervals the graph goes upwards when the value of the x increases.
It is clear from the graph that the function increases on (-2, 2).
Decreasing intervals:
Here we need to say at which intervals the value of the function decreases.
That is at which intervals the graph goes downwards when the value of the x increases.
It is clear from the graph that the function decreases on (-4, -2) and (2, 4).
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the sum of the lengths of any two sides of a triangle is greater than the third side find the 3rd side
The given statement is false.
Given, that the sum of two sides of a triangle is greater than or equal to the third side.
considering 2 cm, 3 cm, 4 cm
Let the two sides be 2 cm and 3 cm
Let the third side be 4 cm
Now, sum of two sides = 2 + 3 = 5 cm
So, 5 > 4
Therefore, the given statement is false.
What do you mean by Triangle?A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property. There are three sides and three angles in every triangle, some of which may be the same. Triangles are three-sided shapes. The various kinds of triangles go by various names. The size of the angles and the length of the sides determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.
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(6x-51)*
(2x+61
Help please
Answer:
Step-by-step explanation:
(6x-51)*(2x+61)
You can expand.=6x(2x+61)-51(2x+61)
=[tex]=12x^{2} +366-102x-3111\\=12x^{2} -102x+366-3111\\=12x^{2} -102x-2745[/tex]
HOPE THIS HELPS!!!!
A computer store
charges $45 for materials and $50 an hour for service to install two new programs and a connection. The cost C(h) is a function of the number of hours a it takes to do the job. Graph the function
CCh) = 45 4 50h. How much will instaletion cost?
The cost for a 3-hour installation is $195.
A relation between a collection of inputs and outputs is known as a function. A relationship between inputs and outputs in which each input is connected to only one output is called a function. Each function has a codomain, range, and domain.
The hourly charge to install two new programs and a connection is $50.
The computer store charge $45 for the materials.
The function for the cost of the number of hours it takes to complete the job is given as:
C(h) = 45 + 50h
Therefore, the cost for a 3-hour installation is:
C(3) = 45 + 50 × 3
C(3) = 45 + 150
C(3) = $195
The 3-hour installation cost is $195.
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Find the approximate side length of a square game board with an
area of 184 in2
The approximate side length of a square game board with an
area of 184 in² is 14 inches
Area of a squareThe formula for calculating the area of a square is expressed as;
A = l²
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 = l²
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in² is 14 inches
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Where will the hour hand of clock stops if it starts from 7 and goes through 3right angles
The hour hand that goes through 3 right angles and starts from 7 will stop at 4.
We can assume that the numbers in a clock are positioned in a circle. The angle in a circle is 360⁰, while the numbers in a clock is 12.
Hence, from each clock number to its consecutive number, the hour hand must travel 30⁰ as shown in the attached picture.
A right angle is equal to 90⁰. This is equal to 3 ⨉ 30⁰. In other words, to travel 90⁰ means to travel 3 hours.
3 right angles = 3 ⨉ 90⁰
= 3 ⨉ 3 hours
= 9 hours.
Thus, the hour hand will go to:
7 + 9 = 16
16 is equal to number 4 in a clock number.
Conclusion: If the hour hand start from 7, it will stop at clock number 4.
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simplify (-1 + 6i) + (5 - 2i) - (8i)
the sum of 3 and p divided by q ( its not 3+p/q apparently because thats wrong on my thing)
Answer:
[tex] \frac{3 + p}{q} [/tex]
Step-by-step explanation:
Because it says 3 and p then you divide both of them by q
Hope this helps!
If you have any questions ask!
You have to add 3 and p before dividing by q.
(3 + p)/q
Which number line shows the solution to 3 + (−3)?
Answer:
The answer is A.
Because...
[tex]3-3[/tex]
[tex]=3+-3[/tex]
[tex]=0[/tex]
Here's photo as well.
Answer:
The First Image!
Step-by-step explanation:
Given
[tex]\boxed{3+(-3}[/tex]
This gives:
[tex]\boxed{3+(-3)=3-3=0}[/tex]
You were given 3+ (-3).
This means that we count 3 places forward, then count 3 places backward.
We stop at zero.
This implies that 3+(-3) is zero
Which tells you The first option/Image is correct!
Answered by:
AshTheNeko
Please help me out! With this question
Answer:
yessir
jimmy jhon
TROOOOOOOOOOOOOOOOOOOOOP
STARING NOW
Answer:
15.25
do 40.75-25.5 i think
reggie drew a scale drawing of a swimming pool. the scale of the drawing was 4 millimeters : 3 meters. the pool is 24 meters long in real life. how long is the pool in the drawing?
The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.
As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.
So, the length of the pool in the drawing is = 24*(3/4)
= 24 millimeters
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a fire truck is called to a scene. three minutes later, a second truck is called. the first truck averages only 30 miles per hour, but the second averages 60 miles per hour. the truckcs travel a total of 12 miles and arrive at the same time.
The trucks arrive 10 minutes after the first call. The first and the second truck travel for 5 miles and 8 miles respectively.
In a time difference of 3 minutes, two fire trucks are called.
The average speed of the first truck is 30 miles per hour.
The average speed of the second truck is 60 miles per hour.
The trucks totally travel for 12 miles and arrive at the same time.
Let d be the number of miles the first truck drove.
Let t be the number of minutes it took the first truck to travel.
Now, Convert 30 miles per hour to a half mile per minute and 60 miles per hour to a mile per minute as we are measuring time in minutes.
For the first truck:
d = 0.5t
The second truck traveled 12 - d miles if the first truck traveled d miles. In the event where the first truck traveled for t minutes and was called 3 minutes later, the second vehicle would have gone for t - 3 minutes.
For the second truck:
12 - d = t - 3
Therefore,
12 - 0.5t = t - 3
15 = 1.5t
t = 15 / 1.5
t = 10 minutes
The trucks arrive after 10 minutes after the first call.
Then,
d = 0.5t = 0.5(10) = 5 miles
And 12 - d = 12 - 5 = 8 miles.
Hence, the first truck traveled for 5 miles and the second truck traveled for 8 miles.
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The complete question is mentioned below:
A fire truck is called to a scene. Three minutes later, a second truck is called. The first truck averages only 30 mph, but the second averages 60 mph. The trucks travel a total of 12 miles and arrive at the same time. How long from the first call did the trucks take to arrive? How far did each travel? We must first remember to change miles per hour to miles per minute.
Greatest common factor of 16
Answer:
16
Step-by-step explanation:
The GCF of any number is itself. The GCF of 5 is 5. The GCF of 10 is 10. The GCF of 16 is 16.
Nine yards of ribbon are cut into 8 equal pieces. what is the length of each piece of ribbon? write a division expression to represent the problem solve
Answer:
1.125 yards. Division expression: 9 ÷ 8
Step-by-step explanation:
Division expression: 9 ÷ 8
9 is the total length of ribbon and 8 is number of pieces you are cutting the ribbon
Solve the expression:
9 ÷ 8 = 1.125
Meena drove 245 miles in 5 hours. if she continued at the same rate, how long would it take to travel 196 miles
Meena would take 4 hours to drive 196 miles.
We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.
So, formula stating rate or speed of driving -
Speed = distance ÷ time
Keep the values in formula to find the speed
Speed = 245 ÷ 5
Performing division
Speed = 49 miles per hour
So, Meena drives 49 miles in 1 hour.
For driving 196 miles, the time required = (1 ÷ 49) × 196
Performing multiplication and division
Time required = 4 hours
Hence, Meena will require 4 hours to drive 196 miles.
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What is a number that is divisible by 2 and 3 that is greater than 50 but less than 60? is there more than one answer?
Answer:
54 can be divided by both 2 and 3. And yes there is more than one answer.
Step-by-step explanation:
54 is less than 60 but greater than 50, and it can also be divided by 2 and 3 without there being a remainder. All the other answers could be: 52, 54, 56, and 58 (all of which could be divided by 2) and 51, 54, and 57 (all of which could be divided by 3).
Hope this helps!!! :)