Answers
Answer:
SA = 148 cm²
Step-by-step explanation:
the opposite faces of the cuboid are congruent , then
SA = 2(6 × 5) + 2(4 × 5) + 2(6 × 4)
= 2(30) + 2(20) + 2(24)
= 60 + 40 + 48
= 148 cm²
Related Questions
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+240x+115
Answers
Check the picture below.
so the rocket will hit the ground when y = 0, so hmmm, there's no simple factoring that'd give us integers, so we'll plug the quadratic into the quadratic formula
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+240}x\stackrel{\stackrel{c}{\downarrow }}{+115} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (240) \pm \sqrt { (240)^2 -4(-16)(115)}}{2(-16)} \implies x = \cfrac{ -240 \pm \sqrt { 57600 +7360}}{ -32 }[/tex]
[tex]x= \cfrac{ -240 \pm \sqrt { 64960 }}{ -32 }\implies x=\cfrac{ -240 \pm 8\sqrt { 1015 }}{ -32 }\implies x=\cfrac{ 240 \mp 8\sqrt { 1015 }}{ 32 } \\\\\\ x=\cfrac{ 30 \mp \sqrt { 1015 }}{ 4 }\implies x\approx \begin{cases} -0.46\\\\ 15.46 ~~ \textit{\large \checkmark} \end{cases}[/tex]
now, let's notice, "x" cannot be negative, so the negative value is tossed.
The graph of a linear function has a slope of 5 and passes through the point (1, 8).
What's the zero?
Answers
G(F(x)) = (x - 5)3 + x - 5
A.
F(x) = x - 5 and G(x) = (x - 5)3
B.
F(x) = x - 5 and G(x) = x3 + x
C.
F(x) = (x - 5)3 and G(x) = x - 5
D.
F(x) = x3 + x - 5 and G(x) = x - 5
Answers
Option B is correct.
Given that Function G(F(x)) = (x - 5)3 + x - 5 ;
Lets take a function G(x) = x3 + x as (i) and check that it will produce the above equation or not.
Now suppose that the value of the function F(x) = x-5 as (ii) , using this value we will check that whether it support the value for g(x) or not.
Put the value of function f(x) in the equation number i , it will be like this :
G(f(x)) = f(x)3 + f(x)
we know that the value of f(x) from (ii)
Therefore, G(f(x)) will be :
G(f(x)) = (x - 5)3 + x - 5, this will satisfy the above equation which means our supposition was correct. Hence the correct ans is B
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how many ways can 7 students be assigned a seat in a classroom if there are 10 seats in a row? a) 70 b) 604,800 c) 120 d) 3,628,800 e) 17 f) none of the above.
Answers
The correct option c) 120; for the assignment of 7 students to 10 seats in a row.
What is referred as the combination?Combinations are mathematical techniques that count the number of potential arrangements for a set of elements only when order of the selections is irrelevant. You can choose the constituents of combos in any order.The procedure for determining how many arrangements are feasible when only a few items are selected from a set of items that are unique is as follows:The formula for finding the combination is-
ⁿCₓ = n!/ x!(n - x)!
Where,
n = total value.x = selected valueFor the given question.
Total students to be assigned a seat = 7.
Total seats in a classroom = 10.
Thus, Applying combination;
¹⁰C₇ = 10!/7!(10 - 7)!
¹⁰C₇ = 120
Thus, if there are 10 seats in a row, there are 120 different ways that 7 students could be seated in a classroom.
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.
In the given question,
The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;
C(x) = 3x^2-1500x+199,000
(a) In the given question we have to find the number of bicyles that must be manufactured to minimize the cost.
The given function is
C(x) = 3x^2-1500x+199,000
To find the maximum or minimum value we firstly find the value of f'(x).
C'(x) = 6x-1500
Now put f'(x)=0
6x-1500=0
Add 1500 on both side, we get
6x=1500
Divide by 6 on both side we get
x=250
Hence, the number of bicycles that must be manufactured to minimize the cost of 250.
(b) Now finding the value of function at x=250
C(250) = 3(250)^2-1500*250+199,000
C(250) = 3*62,500-375,000+199,000
C(250) = 187,500-375,000+199,000
C(250) = 11,500
The minimum cost is $11,500.
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The 1st term of a certain sequence is -10, and the 2nd term is 1. Each subsequent term is obtained by adding the 2 immediately preceding terms. What Is the 5th term of this sequence?
Answers
In a sequence of first term-10 and the 2nd term is 1. the 5th term of this sequence is -17
How to find the fifth term of the sequenceinformation given in the question
The 1st term of a certain sequence is -10
the 2nd term is 1
Each subsequent term is obtained by adding the 2 immediately preceding terms
the 5th term of this sequence = ?
Each subsequent term is obtained by adding the 2 immediately preceding terms. This statement means is applied as below
Therefore:
third term
3rd term
= first term + 2nd term
= -10 + 1
= -9
4th term
= 3rd term + 2nd term
= -9 + 1
= -8
5th term
= 4th term + 3rd term
= -9 + -8
= -9 - 8
= - 17
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Write each trigonometrie ratio as a fraction and as a decimal rounded to the nearest hundredth.
Answers
Answer: length C to A is .001 and c to b is 0.03 and b to a is 0.04
Step-by-step explanation:
Andrea put $52 in the savings account that pays 4% interest how much interest will she earn in one year
Answers
Answer: $2.08
Step-by-step explanation: First multiply $52 by 4% as a decimal or 0.04. Then, multiply that by the number of years.
=52(0.04)(1)
=2.08
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?
1, –0.25, –1.5, –2.75, –4, . . .
1, 2.25, 3.5, 4.75, 6, . . .
4, 2.75, 1.5, 0.25, –1, . . .
4, 5.25, 6.5, 7.75, 8
Answers
The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...
How to determine the elements of the recursive definition of f?The function definition is given as
f(1) = 4
f(n + 1) = f(n) - 1.25 for n ≥ 1
Set n = 1
So, we have the following representation
f(1 + 1) = f(1) - 1.25
This gives
f(2) = f(1) - 1.25
So, we have
f(2) = 4 - 1.25 = 2.75
Set n = 2
So, we have the following representation
f(2 + 1) = f(2) - 1.25
This gives
f(3) = f(2) - 1.25
So, we have
f(3) = 2.75 - 1.25 = 1.5
So, we have
4, 2.75, 1.5...
The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...
Hence, the sequence is (c) 4, 2.75, 1.5...
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Answer:
C
Step-by-step explanation:
Because i got it right
a school is organizing a weekend trip to a nature preserve. for each student, there is a $60 charge, which covers food and lodging. there is also a $40 charge per student for the bus. the school must also pay a $30 cleaning fee for the bus. if the total cost of the weekend is $4,030, how many students will be going on the trip?
Answers
Using the concept of linear equation in one variable, it is concluded that the total number of students who will go on the trip are 40.
What is a linear equation in one variable?An equation that contains only one variable and has its degree one is called a linear equation in one variable. The general form of linear equation in one variable is ax + b = 0, where a and b are real numbers and a ≠ 0.
Given that food and lodging charge per student = $ 60
Charge per student for bus = $ 40
And the amount paid for the cleaning fee for the bus = $ 30
Let the total number of students who are going on the trip = x
Now, the Total charge for food and lodging = $60x
The total charge for bus fare = $ 40x
Given that total cost paid = $ 4030
Hence, $60x + $40x + $30 = $4030
$100X = $4030 - $30
$100X = $4000
x = 40
Hence, the total number of students who will go on a trip is 40.
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-6 > v + 3/5 solve for the inequality for v and simplify your answer as much as possible
Answers
Answer: -33/5
Step-by-step explanation:
One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Show your work, including labeling your answer with the appropriate units of measure.
someone please help!!!
Answers
Answer:
875 square feet.
Step-by-step explanation:
Multiply 350 square feet by 2.5 gallons.
Juan owns 8 pairs of pants 1 shirt 3 ties 1 jacket. How many different outfits can he wear to school if he must wear one of each item
Answers
He can wear 24 different outfits can he wear to school .
what is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.
Given:
Juan owns 8 pairs of pants, 1 shirt, 3 ties and 1 jacket
So, number of outfits can he wear to school is
= 8 x 1 x 3 x 1
=24
Hence, he can wear 24 different outfits can he wear to school .
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what is the slope intercept form of 4y+x=-1
Answers
Answer:
[tex]y=-\frac{1}{4}x-\frac{1}{4}[/tex]
Step-by-step explanation:
To find the equation in slope-intercept form, isolate [tex]y[/tex].
[tex]4y+x=-1 \\ \\ 4y=-x-1 \\ \\ y=-\frac{1}{4}x-\frac{1}{4}[/tex]
Determine the value of x in the equation below.
16 - (x + 5) = 5
Answers
Answer:
x=6
Explanation:
16-(x+5)=15
open the bracket using 1 as an invisible number after the minus sign16-x+5=15You move -x to cross the equality sign and it change to + 16+5-15 =x+15 change to -15 because of the equality sign 21-15=6x=6rewrite 16r^2s^2 as a power of a product
Answers
Answer: 16r²s²=(4rs)²
Step-by-step explanation:
[tex]16r^2s^2=\\\\4^2r^2s^2=\\\\(4rs)^2[/tex]
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth
Answers
Step-by-step explanation:
imagine a circle with the center at the vertex of the angle x, and the radius 72 ft.
cos(x) = 28/72 = 7/18 = 0.388888888...
x = 67.11461952...° ≈ 67.1°
Solve for the value of q.
46⁰
(q-3)⁰
Answers
The right angle equals 90º always, so 90 + 46 = 136
180 - 136 = 44 ( this is want we want)
Q-3 = 44
+3
Q = 47
Answer = 47
−12+(−20)
Enter your answer in the box.
Answers
Answer:-32
Step-by-step explanation:
-12+(-20)
-12-20
-32
Answer: -32
Step-by-step explanation:
−12+(−20)=
-12 - 20= ==> adding a negative number is equal to subtracting by the positive version of that number. ?-20=?+(-20)
-(12+20)=-32
1. The slope of the line
y = x + 17 is ___.
2. The slope of the line
y = x - 7/9 is ___.
Answers
Answer:
1. 1
2. 1
Step-by-step explanation:
Step 1
recall the eqn of a line y = mx + c
where m is the slope
step 2
compare you eqn given with the eqn y = mx + c
y = mx + c
y = 1 x + 17
then m = 1 which is slope.
both qns follows the same procedure
From a set of whole numbers less than 25, what is the probability of getting a number either divisible by 5 or
divisible by 3?
A.) 3/5
B.) 14/25
C.) 1/5
D.) 11/25
Answers
From a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
The set of whole numbers = {0, 1,2,3,4,5.....}
The set of whole numbers less than 25 = {0,1,2,3,4,......,24}
The numbers divisible by 5 = {5, 10, 15, 20}
The numbers divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24}
The common term is 15
The probability = Number of favorable outcomes / Total number of outcomes
The number of favorable outcome = 11
Total number of outcomes = 25
Substitute the values in the equation
The probability = 11/25
Hence, from a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
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Apply the distributive property to
create an equivalent expression.
(-7c + 8d)0.6
Answers
Answer: -4.2c + 4.8d
Step-by-step explanation:
Multiply each number by 0.6 to get -4.2c + 4.8d.
HELPPPPPPPPPP
A) 2
B) 3
C) 4
D)5
Answers
Answer:
it's b extra words. extra words. extra words. extra words
Step-by-step explanation:
I took the test
The ratio 20mins to 1 hour can be written in the form 1:n find the value of n.
Answers
Answer:
1:3
n=3
Step-by-step explanation:
1 hour = 60 minutes
20:60
20÷20=1
60÷20=3
1:3
about 2% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
Answers
0.0147 is the standard deviation for the number of people .
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high. The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.standard deviation = sqrt(p*(1-p)/n)
= sqrt(0.07 * 0.93/300)
= 0.0147
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Use synthetic division to divide x^3+8x^2+11x-20 by (x+4). Explain steps
Answers
Answer:
X²+4X-5 without a reminder
Please help me I WILL GIVE BRAINLY IF CORRECT!!<3 Question 2(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions LC)
Rewrite 30 - 6x³ using a common factor.
O2(15-3x³)
O 2x(15-3x²)
O6(5-6x³)
O6x(5-x²)
Answers
By factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])
The expression is given,
30 - [tex]6x^3[/tex]
The expression is the mathematical sentence that consist of different types of variables, numbers and the mathematical operators. The mathematical operators will be addition, subtraction, division and multiplication. The expression does not contains a equal sign or inequality signs
The expression is given,
30 - [tex]6x^3[/tex]
Take a common term outside
Here the common term is 2
30 - [tex]6x^3[/tex] = 2((30/2) - [tex]6x^3[/tex] /2)
= 2(15 - [tex]3x^3[/tex])
Hence, by factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])
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A farmer has 20 boxes of eggs
there are 6 eggs in each box
write as a ratio, the number of eggs in two boxes to the total number of eggs
Give your answer in its simplest form
Answers
Answer:
1 : 10 is the answer.
Step-by-step explanation:
Total number of eggs in 2 boxes = 6 x 2 = 12
Total number of eggs in 20 boxes = 120
12 : 120
1 : 10
Answer:
1:6
Step-by-step explanation:
there are 46 students going on a field trip to the museum. if 7 students can fit in each van , how many vans are needed for all 46 students to go to the museum
Answers
Answer:
Step-by-step explanation:
NOSEEEEEE
Divide 46 by 7 which equals 6.5 but since you cannot take half a bus you round up to 7 so 7 buses will be needed to take the 46 students
Please help first correct answer gets brainliest
