Answer:
242 m³ of space is there in the fort.
Step-by-step explanation:
Given that,
The dimensions of first box is 4 meters long, 8 meters wide, and 8 meters high.
The dimensions of the second box is 2 meters long, 7 meters wide, and 1 meter high.
Space left = Volume of first box - volume of second box
= (4)(8)(8) - 2(7)(1)
= 242 m³
So, 242 m³ of space is there in the fort.
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
If 12 muffins cost $27, how much would 2 muffins cost?
What is the volume of the solid figure?
help pls
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
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:
WILL MARK YOU IF YOU HELP ME !!!!
Answer:
Perpendicular bisector
Answer:
perpendicular bisector
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)
Answer:
tan 43 =.93
cos 67=.39
sin 39=.63
Step-by-step explanation:
tan 43 = .932515086=.93
cos 67=.390731128=.39
sin 39=.629320391=.63
Difference Quotient. Correct answer is shown. It says multiply by conjugate but I don’t understand what that is and how they did it. TIA
9514 1404 393
Answer:
3/(√(3(x+h)) +√(3x))
Step-by-step explanation:
The conjugate of a binomial is the same sum, but with the sign changed. That is (a +b) and (a -b) are a conjugate pair: each is the conjugate of the other.
The purpose of multiplying expressions involving roots or complex numbers by their conjugate is to take advantage of the relation ...
(a +b)(a -b) = a² -b²
Here. you want to eliminate the h from under the radical, so squaring the radical containing h is useful for the purpose. Hence the conjugate gets involved.
"Multiply by the conjugate" means multiply both the numerator and the denominator by the conjugate. (Effectively, multiply by 1.)
__
[tex]\displaystyle\frac{f(x+h)-f(x)}{h}=\frac{\sqrt{3(x+h)}-\sqrt{3x}}{h}\\\\=\frac{(\sqrt{3(x+h)}-\sqrt{3x})(\sqrt{3(x+h)}+\sqrt{3x})}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\frac{3(x+h)-3x}{h(\sqrt{3(x+h)}+\sqrt{3x})}\\\\=\frac{3h}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\boxed{\frac{3}{\sqrt{3(x+h)}+\sqrt{3x}}}[/tex]
_____
Additional comment
In the end, you will want the limit as h → 0, which will be 3/(2√(3x)). You will notice that h=0 no longer makes the denominator zero, so the limit is found by simple evaluation.
When the "binomial" is a complex number of the form a+bi, its conjugate is a-bi, regardless of the sign of b. That is, the conjugate of a complex number is found by negating its imaginary part. The sign of the real part is left alone.
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
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
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
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).
Evaluate the integral.
∫ 17/ (x^3 − 27) dx
Answer:
??????????????????????????
HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?
A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2
============================================================
Explanation:
The y intercept of the blue curve f(x) is (0,5)
The y intercept of the red curve g(x) is (0,2)
We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.
Based on that, we would say
g(x) = f(x) - 3
g(x) = (5-x^2) - 3
g(x) = -x^2 + (5 - 3)
g(x) = -x^2 + 2
g(x) = 2 - x^2 ..... answer is choice C
Answer:
2-x^2
Step-by-step explanation:
What is the length of each leg of the triangle below?
459
22
90°
45
O A. 11.12
B. 1
C. 15
D. 11
ET
F. 22
Answer:
option A
Step-by-step explanation:
since the given triangle is an isosceles triangle it's two remaining sides are equal
let the length of missing side be x
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + x^2 = 22^2
2x^2 = 484
x^2 = 484/2
x = [tex]\sqrt{242}[/tex]
x = [tex]11\sqrt{2}[/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%
A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).
Answer:
4547.14
Step-by-step explanation:
m increased by %8 so it'll be
[tex]6.588 \times {10}^{ - 5} [/tex]
and t will be
[tex]1.785 \times {10}^{ - 6} [/tex]
so G =
[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]
G= 4547
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
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
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
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
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.
Will mark Brainlest hellpppp
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
Which number line represents the solution set for the inequality? HELP PLEASE
Answer:
sorry i dont know next time ill surely help when i know.
HELP WITH MY MATH PLEASEEE
Answer:
x = 18
Step-by-step explanation:
JM = LM
8x - 3 = 141
8x = 141 + 3
8x = 144
x = 144/8
x = 18
Answer:
since its a square each side is equal so
8x-3=141
8x=144
x=18
so
A: x=18
Hope This Helps!!!
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
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]
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 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]
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
