Answer:
The surface area of the rectangular prism is of 22 square millimeters.
Step-by-step explanation:
Surface area of rectangular prism:
The surface area of a rectangular prism with length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
Length 12 mm, width 3mm and height 5 mm
This means that [tex]l = 12, w = 3, h = 5[/tex]
Surface area:
[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]
The surface area of the rectangular prism is of 22 square millimeters.
What is the biggest possible answer you can get by putting
one pair of brackets into the calculation below? Show your working.
9 - 4 + 5 x 3
Answer:
9-4+(5x3)
Step-by-step explanation:
9-4+15
24-4
20
In a class, three-fifths of 25 students are girls. What is the number of girls in the class?
Answer:
15
Step-by-step explanation:
3/5*25
Answer:
15 girls
Step-by-step explanation:
(3/5) x 25 = 15
A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles. How much does he put in each bottle?
Answer:
[tex]\frac{4}{15}[/tex] of a gallon per bottle
Step-by-step explanation:
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex] / 3 = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{15}[/tex]
In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.
Answer:
80x⁴
Step-by-step explanation:
[tex](\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2[/tex]
[tex]+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5[/tex]
[tex]5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\[/tex]
[tex]5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}[/tex]
The fourth term of the expansion has the constant a,
the coefficient of a is 80x⁴
Which graph shows the line y = 2x + 3?
C
НА
A
D
B
A. Graph A
Ο Ο
B. Graph D
C. Graph B
D. Graph C
the answer is letter B.graph D
Andy's average driving speed for a 4 hour trip was 48 miles per hour. During the first 3 hours he drove 50 miles per hour. What was his average speed for the last hour on his trip.
PLEASE HELP AND SHOW WORK YOU WILL GET BRAINLEST MARK
Answer:
Step-by-step explanation:
Distance = 48 * 4
Distance = 192
~~~~~~~~~~~~~~~
3*50 = 150
192 - 150 = 42
42 MPH for the last hour
the diagram below shows a triangular metal plate with sides 4.5cm,6cm and 7.5cm. it has three small circular holes of radius 4mm.calculate the area of the plate to the nearest square centimeters.
Answer:
d = 4.5 cm
A = 1/4 (p x d²)
= 1/4 (3.14 x d x d)
= 1/4 (3.14 x 4.5 cm x 4.5 cm)
= 15.9 cm2
The area of the plate nearest square centimeters is 12cm².
What is a scalene triangle ?A scalene triangle has three different sides and corresponding to that three different interior angles.
According to the given question we have triangle with sides 4.5cm,6cm and 7.5cm.
We know for a scalene triangle given 3 sides.
area(A) = [tex]\sqrt{s(s-a)(s-b)(s-c)[/tex].
Where S is semi perimeter and a,b,c are the three sides.
= (a+b+c)/2.
= (4.5+6+7.5)/2 cm.
= 18/2 cm.
= 9 cm.
∴ The area of the triangle is
= [tex]\sqrt{9(9-4.5)(9-6)(9-7.5)[/tex]cm².
= [tex]\sqrt{9(4.5)(3)(1.5)}[/tex] cm².
= [tex]\sqrt{182.5}[/tex] cm² this is in between 13 square and 14 square approx 13.5 cm².
Now it has three small circles of radius of 4 mm or 0.4 cm.
We know area of a circle is πr² and area of 3 circles having same radius is 3(πr²) cm².
= 3{π(0.4)²}
= 3{3.14(0.16)} cm².
= 3(0.5024) cm².
= 1.5072 cm².
Now to obtain the area of the scalene triangle with those three holes of 0.4 cm we have subtract the area of the three circles from the triangle which is
= (13.5 - 1.5) cm².
= 12 cm².
learn more about heron's formula here :
https://brainly.com/question/15188806
#SPJ2
How much in earning can PNG make in a year in cocoa export of 400 000 tonnes at K2 353 per tonne ? (2 marks)
Answer: K941,200,000
Step-by-step explanation:
From the question, we are to calculate the amount of earning that PNG can make in a year in cocoa export of 400 000 tonnes at K2 353 per tonne.
This will be:
= Number of tonnes × Amount per ton
= 400000 × k2353
= K941,200,000
Therefore, the answer is K941,200,000
Determine whether the given ordered pair is a solution to the given equation.
(0,-5) x+4y=-20
yes
Substitute x and y into the
equation we have
0+4 .(-5)=-20
<=>-20=-20
satisfy the condition
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
A private university is accepting applications for enrollment.Out of 2,000 applicants,950 meet the GPA requirements,600 volunteer for community service,and 250 both meet the GPA requirements and volunteer.Which statement correctly describes the probability that an applicant meets the GPA requirements or volunteers?
A: Because some applicants volunteer and meet the GPA requirements, the events are mutually exclusive.Thus, the probability is 65%.
B: Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 65%.
C: Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 77.5%.
D: Because no applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 77.5%.
Answer:
It is B - Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 65%.
>3
Answer: Choice B
Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.
Thus, the probability is 65%.
====================================================
Explanation:
950 people meet the GPA requirements. Also, 250 both meet the GPA requirements and volunteer. This must mean 950-250 = 700 people only meet the GPA requirements, but don't volunteer. Let A = 700.
600 people volunteer. 250 both meet the GPA requirements and volunteer. This must mean 600-250 = 350 people volunteer only (ie they don't meet the GPA requirements). Let B = 350
Let C = 250 to represent the number who meet the GPA requirements and volunteer.
-----------------
In summary we found that,
A = 700 people meet the GPA requirements only (they don't volunteer)B = 350 people volunteer only (they don't meet the GPA requirements)C = 250 people both meet the GPA requirements and volunteerThat means A+B+C = 700+350+250 = 1300 people either meet the GPA requirements, volunteer, or both. This is out of 2000 people
1300/2000 = 13/20 = 0.65 = 65%
That calculation tells us that 65% of the 2000 applicants fit the conditions we're after. So that's the probability of randomly selecting someone to fit those conditions.
Because the value of C is not zero, this means we don't have mutually exclusive events. It's possible that someone fits both criteria. Mutually exclusive events cannot happen at the same time.
In other words, if we did have mutually exclusive events, then someone couldn't both meet the GPA requirements and volunteer at the same time (they would have to pick one or the other but not both).
Solve y=x³ with function y=fx
Answer:
Hope it will help you!!!!
This question is mildy difficult and i need some help would anyone please help me
Answer:
30 and 45 degrees
Step-by-step explanation:
Can someone help with this
Answer:
triangle BEF is right angled triangle
if (x) - **4, g(x) = x= 2, and h(x) = 4x+1, what is (f• Hºg)(x)?
2x+16
o (fe hºg)(x) =
2x+4
o (fonog)(x)=
4x-3
o (f• hºg)(x)- Ax=1
4x-5
o (f• nºg)(x) = AX-
Answer:
c
Step-by-step explanation:
Do you think a friend would steal a led light controller after sleeping over cause I cannot find it?
Answer:
maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.
for what value of x does 4x=(1/8)^x+6?
Answer please help
A. -15
B. -3
C. 3
D. 15
Im sorry but what I got was x=1.5 I don't know if this helps or not.
What is the value of c?
A. 68
B. 71
C. 38
D. 34
Answer: C
Step-by-step explanation:
See diagram above
Find the sum of the first 5 terms of the following geometric series.
512 - 256 + 128 +...
Answer:
352
Step-by-step explanation:
512 - 256 + 128 - 64 + 32 = 352
What’s an example for y=1/2x-6 real world problems
Max is participating at a school bake sale. Each cookie he sells costs 50 cents. Unfortunately, it took 6 dollars to buy the materials for the cookies. Find how much money would it take for Max to break even.
Answer:
Step-by-step explanation:
4 years ago when Mary was 6, she was one half the age of her brother.
How old is her brother now?
Solution :
Let brother's age be = x
Four years ago, brothers age was = (x - 4)
Four years ago Mary was = 6
She was half the age of her brother
[tex]6 = \frac{1}{2} (x - 4)[/tex]
67 2/3% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
2/3
Step-by-step explanation:
2/3 is 66 2/3%
There are 12 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 3 people can answer these lines
Answer: the required answer is 1320
Step-by-step explanation:
Total people = 12
Different phone lines = 3
We will choose the person to answer the first phone in 12 ways.
Then choose the second person in 11 ways. (11 people left)
Then choose the third person in 10 ways. ( 10 people left)
The number of groups of 3 people can answer these lines[tex]12 \times11\times10=1320[/tex]
Hence, the required answer is 1320
help me find answer i need answer please hlep
Answer:
7
Step-by-step explanation:
This is correct answer bro...
Answer:
7
Step-by-step explanation:
So first off, two numbers that are to the same root can be combined.
In this case we can combine these two values, since they are to the 5th root and are both 7:
[tex]\sqrt[5]{7*7^4}[/tex]
=
[tex]\sqrt[5]{49^4}[/tex]
This can be broken down into 7^2
This gets us [tex]\sqrt[5]{7^5}[/tex]
Remember that we add exponents, together, so in this case it adds up to 5.
You might be wondering...well if its 7^2 and 7^4, wouldnt it be 7^6?
Well, remember this. One of the 7s in 7^2 is from the 7^4, so tecnically it is 7^3 + 7^2, which is 7^5
Anyway, now we have:
[tex]\sqrt[5]{7^5}[/tex]
When you root a exponent, it works like subtraction.
In this case we have a exponent of 5, and a root of 5.
This is 5-5 = 0
So it will just be 7. Because the square and root cancel each other out, leaving us with 7.
Hope this helps!
Also, I just watched you waste someone elses answer so you could ask your own question. Instead of wasting other peopes answers, message me on one of my questions or answers, I will help you for free. :D
Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)
The answer is C
Step-by-step explanation:
Not sure I can't really give an explanation but its C
Is the answer to this question 13.5
Answer:
i think its 13
Step-by-step explanation:
you are supposed to measure the lowest point of the liquid.
Jasmine bought a game system
that cost $299 before tax. The total
including sales tax was 1.07 times
the price. A discount was then
applied by multiplying the total price
by 0.90. What was the total cost of
the game system including the sales
tax and discount?
9514 1404 393
Answer:
$287.94
Step-by-step explanation:
The final cost is found by multiplying the cost by the various factors:
$299 × 1.07 × 0.90 ≈ $287.94
Two cars are 100 km spart One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same time and are driving toward each other, how long will it take them to meet? 3 hours 4 hours 5 hours 6 hours
Answer:
I thinks they take 5 hours to meet each other
A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
piece is 5 times as long as the first piece. Find the length of the longest piece.
==========================================================
Explanation:
x = first piece2x = second piece, since its twice as long as the first5x = third piece, since its five time as long as the firstx is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
--------
Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
A student measured the lead content of a paint sample 4 times. The standard deviation of the measurements was found to be 0.76% of the average. Calculate the confidence interval at the 90% confidence level.
Answer:
[tex]CI =0.894%[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=4[/tex]
Standard deviation [tex]\sigma=0.76\% of \=x[/tex]
Confidence level [tex]\mu =90\%=0.90[/tex]
Degree of Freedom [tex]Df=n-1=3[/tex]
Therefore
Test T from table is given
[tex]t=2.353[/tex]
Generally the equation for Confidence interval CI is mathematically given by
[tex]CI =t*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]CI =2.353*\frac{0.76}{\sqrt{4}}[/tex]
[tex]CI =0.894%[/tex]
Bạn phương có 1.2tỷ đồng đang cân nhắc đầu tư vào các dự án sau
Kinh doanh cà phê với chi phí đầu tư là 300tr tổng số tiền thu đc 3 năm là400tr
Đầu tư của hàng kinh phí với kinh phí ban đầu là 200tr tổng số tiền thu đc 1năm là 217 tr
Biết rằng lãi suất ngân hàng là 8% năm hãy tính NPV giá trị hiện tại ròng cuat các dự án
Bạn phương nên đầu tư cái nào
Answer:
sssssssss
Step-by-step explanation:
ssssssss
25 points!!!!!!!!
Solve the system of equations.
4x + 3y + 5z = 6
6x + 8y + 62 = 4
4x + 2y + 62 = 8
please select the best answer from me the choices provided
a. (x = 1, y = - 1,2 = 1)
b. (x = 3, y = -3, z = 3)
(x = 0, y = 0, z = 2)
d. (x = 2, y = -2, z = 0)
Answer:
A is your answer, my guy
Step-by-step explanation:
4x1=4
3x-1=-3
5x1=5
4+(-3)+5=6
6x1=6
8x-1=-8
6x1=6
6+(-8)+6=4
4x1=4
2x-1=-2
6x1=6
4+(-2)+6=8
