Answer:
Step-by-step explanation:
Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1
The row-echelon form of the augmented matrix of a system of equations is given.Find the solution of the system
Answer:
x = 9/4
y = 3/5
z = 2/3
w = -9/5
Step-by-step explanation:
Technically, the matrix is in reduced row echelon form. If there are zeros above and below the ones, it is RREF. If there are zeros only below the ones, then it's REF.
Since it is in RREF, the augmented numbers to the right of the bar are already your solutions. Simply label the variables.
(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.
How many people like both tea and milk?
(ii) How many people like tea only?
(iii) How many people like milk only?
Answer:
How many people like both drinks?
To find the overlap, we can do (104 + 74) - 140 = 38.
How many people like tea only?
To find this, we can do 74 - 38 = 36.
How many people like milk only?
To find this, we can do 104 - 38 = 66.
Answer:
Step-by-step explanation:
A = Number of people who likes tea
B = Number of people who likes milk
Total people = n(A U B) = 140
(i) n(AUB) = n(A) + n(B) - n(A ∩B)
n(A∩B) = n(A) + n(B) - n(A ∪B)
n(A∩B) = 74 + 104 - 140
= 178 - 140
n(A∩B) = 38
Number of people who likes both tea and milk = 38
(ii)Number of people who likes tea only = n(A) - n(A∩B)
= 74 - 38
= 36
(iii) Number of people who likes milk only = n(B) -n(A∩B)
= 104 - 38
= 66
What the answer question now
Step-by-step explanation:
Here,
radius (r)= 2cm
height(h)=5cm
now,
according to the question we must find the surface area of cylinder so,
by formulae ,
a= 2.pi.r(r+h)
now,
a= 2×3.14×2(2+5)
by simplifying it we get,
The surface area of cylinder is 87.92 cm^2.
Hope it helps
Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy
Answer:
Madison is gonna need to buy 250 pounds of meat.
Feel free to Brainliest :)
There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?
Answer:
2/15
Step-by-step explanation:
2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens
P(red) = red/total = 4/10 = 2/5
Keep the pen
2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens
P(red) = red/total = 3/9 = 1/3
P(red,red) = 2/5 * 1/3 = 2/15
Howard earns $46 for every 2 hours of work. What is the constant of proportionality in the scenario?
Answer:
23
Step-by-step explanation:
Take the amount of money and divide by the hour
46/2 = 23
23 dollars for every hour
The constant of proportionality is 23
suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order does not matter? B) how many ways can this be done if order of choices matters
Answer: A) 1716 B) 1235520
Step-by-step explanation:
If order doesn't matter , then we use combinations, where the number of combinations of selecting r things from n is given by :-[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
If order matters , then we use permutations, where the number of permutations of selecting r things from n is given by :-[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Given, Total distinct letters = 13
To choose = 6 letters
A) Number of ways to choose (if order does not matter)=[tex]^{13}C_6[/tex]
[tex]=\dfrac{13!}{6!7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!}{(720)\times 7!}\\\\= $$1716[/tex]
B) Number of ways to choose (if order matters)=[tex]^{13}P_6[/tex]
[tex]=\dfrac{13!}{7!}=\dfrac{13\times12\times11\times10\times9\times8\times7!} 7!}\\\\= $$1235520[/tex]
Hence, A) 1716 B) 1235520
Simplify the following expression: 5(3x) - 3(7x - 2)
�� 6x + 6 �� 36x + 6
�� 6 - 6x �� 6 - 36x
Answer:
The answer is in the screenshot -6x-6
Step-by-step explanation:
Answer pls……………………….
Answer:
D
Step-by-step explanation:
x^2=y^3
Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2
Answer:
z = 2
Step-by-step explanation:
[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]
As bases are same, compare the powers
3z = 6
z = 6/3
z = 2
The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?
Answer: 180 gallons
Step-by-step explanation:
If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)
Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile? 2.6 6.2 38.5 61.6
Answer:
38.5 miles
Step-by-step explanation:
We know that the distance between Mia's house and her aunt's house is 15.4 inches apart.
We also know that every 4 inches on the map represent 10 miles.
4 inches = 10 miles
Divide :
1 inch = 2.5 miles
Multiply the shown distance in the question by the amount of miles per inch
15.4 * 2.5
= 38.5 miles in total.
Answer:
C.)38.5
Step-by-step explanation:
It took the exam:P
Sex ratio is defined as the number of females per 1000 males in the population. Find the sex ratio if there are 3732 females per 4000 males in a town.
Answer:
933
Step-by-step explanation:
female : male
x : 1000
x : 4000
1000 x 4 = 4000
3732 : 4000
3732 ÷ 4 = 933
Which ppint is the center of the circle?
O point w
O point X
O point Y
O point z
Answer:
??????????????????????????????????????????????????????????????
Step-by-step explanation:
Answer:
where is Point or picture
URGENT WILL GIVE BRAINLIEST TO FIRST RESPONDER You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. a. What is the measure of the other acute angle? b. What is the height of the tree? c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree? d. Can you take a clear picture of the top of the tree from where you are standing?
Answer:
a) 55 degrees
b) 350 ft.
Step-by-step explanation:
a- the sum of angles of triangle=180
( since it is right angle , one angle is 90 degrees), x be the acute angle
x+35+90=180
x=180-125
x=55 degrees
b) tan 35= height of a tree/ length of a shadow
height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)
c) hypotenuse²=350.1²+500²
c=√350.1²+500²
c=610.385 ft
d) no because the distance is more than 500
Which expression represents the number 12.3 rewritten in a+bi form?
12.3+0i
1+12.3i
12.3+i
0+12.3i
Answer:
The correct option is;
12.3 + 0i
Step-by-step explanation:
The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to √(-1), cannot be found among the real numbers, i, is known as an imaginary number.
As such a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.
The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;
12.3 + 0·i
Can someone help me find the domain and range of this graph
Answer:
Domain = x - values
Range = y - values
Step-by-step explanation:
main points I'll use as examples for the rest on graph are: (-3,4) (1,2) and (1,6)
Domain: simple numbers here are {-3,1} dont repeat the same x value twice!
Range: {2,4,6}
Make sure values are in numerical order.
Find the rest by these three points! (Which are on graph)
Hope this helps, have a good day :)
Answer:
try 2
Step-by-step explanation:
because it an X-value and it on the graph
Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP
Answer:
The table is attached!
Step-by-step explanation:
6 students play both musical instrument and a sport3 students play neither a musical instrument nor a sport14 students in total play a sportGiven: There are 24 students in the class
The number of students that does not play a sport is 24 - 14 = 10
The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8
The frequency table thus is attached below:
Practice Writing Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).
Answer:
h(f(x)) = 2x - 11Step-by-step explanation:
f(x) = x - 7
h(x) = 2x + 3
To find h(f(x)) substitute f(x) into h(x) that's replace every x in h(x) by f(x)
That's
h(f(x)) = 2(x - 7) + 3
h(f(x)) = 2x - 14 + 3
We have the final answer as
h(f(x)) = 2x - 11Hope this helps you
What is the angle of C?
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
Find the least common multiple of 4 and 10
Answer:
LCM of 4 and 10 is 20
Step-by-step explanation:
yes that is the answer
Answer:
Step-by-step explanation:
Factor 4 and 10 into primes
4: 2 * 2
10:2 * 5
Number of 2s = 2 twos
Number of 5s = 1 five
LCM of 4 and 10 = 4 * 5 = 20
hdndnndndndndnndndndndnbd
Answer:
Hshushahhahaa
Hdhddjkddjdkjd
Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.
Answer:
2y=2y-4=x
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Help Someone please!! Given the following perfect square trinomial, find the missing term: 4x2 + ___x + 49 7 14 28 36
Answer:
28
Step-by-step explanation:
[tex]4 {x}^{2} + - - x + 49 \\ this \: is \: the \: expanded \: form \: of \\ {(2x + 7)}^{2} = 4 {x}^{2} + 28x + 49[/tex]
Answer:
[tex]\huge \boxed{28}[/tex]
Step-by-step explanation:
The trinomial is a perfect square.
Take the square root of the first term and the last term.
[tex](\sqrt{4x^2}+\sqrt{49})^2[/tex]
[tex]\sqrt{4x^2}=2x\\ \sqrt{49} =7[/tex]
[tex](2x+7)^2[/tex]
Expand to find the second term of the trinomial.
[tex](2x+7)(2x+7)\\2x(2x+7)+7(2x+7)\\4x^2 +14x+14x+49\\4x^2 +28x+49[/tex]
The second term of the trinomial is 28x.
Demerol 45mg and atropine 400mcg/ml give how much per ml to total volume to inject demerol contains 50mg/ml, atropine contains 400mcg/ml how much volume to inject
Answer:
Volume injected = 1.65 ml
Step-by-step explanation:
mass of Demerol =45 mg.
density of pre-filled in syringe = 50 mg/ml
Volume = 45/50 = 0.9 ml
For atropine mass = 0.3 mg
density= 400 mcg/ml [ Note : 1 mcg = 0.001 mg]
volume filled = 0.3/400(0.001) = 0.75 ml
So, the total volume filled = 0.75+0.9 = 1.65 ml
arshad's father bought x sweets .(x-4)were eaten by children and 20 were left.how many sweets did his father bring
Answer:
24
Step-by-step explanation:
20+4
simple
x-4=20
x=20+4
x=24
mark me as brainliest
Answer:
24 sweets
Step-by-step explanation:
Remaining sweets = 20
x - 4 = 20
Add 4 to both sides.
x = 20 +4
x = 24
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?
This question is incomplete because the options are missing; here is the complete question:
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?
A. He can randomly survey 50 boys in the school.
B. He can survey 30 students in the school band.
C. He can randomly survey 50 6th graders in the school.
D. He can survey 20 friends from his neighborhood.
The correct answer is C. He can randomly survey 50 6th graders in the school.
Explanation:
A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.
Answer:
He can randomly survey 50 sixth-graders in the school.
Step-by-step explanation:
convert 1/1000 to a decimal or percent please and thank you
Answer:
0.001 ,0.10 pls give me brainliest
Step-by-step explanation:
In decimal fraction we write it as 1/1000. In decimal number we write it as . 001 and we read it as point zero zero one.
fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.
plz sent answer fast
Answer:
Step-by-step explanation:
Find the square of 4100 by long division method
As 4100 is not a perfect square, it will have balance.
Now Find 65 * 65 = 4225
4225 - 4100 = 125
125 should be added to 4100 to get a perfect square
4225 = 5 * 5 * 13 * 13
[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]
Nearest square of 4100.
4225=(65)^2[tex]\\ \sf\longmapsto 4225-4100[/tex]
[tex]\\ \sf\longmapsto 125[/tex]
125 should be added
One type of fabric costs $31.25 for 5 square yards. Another type of fabric costs $71.50 for 11
square yards. Is the relationship between the number of square yards and the cost
proportional between the two types of fabric?
Answer:
as ratio of two type of fabric is different .
hence, the relationship between the number of square yards and the cost
is not proportional between the two types of fabric
Step-by-step explanation:
For a relation to be proportional
a:b = c:d
in other form
a/b = c/d
______________________________________________
Ratio for first type of fabric
cost of fabric/ area of fabric = 31.25/5 = 6.25
Ratio for other type of fabric
cost of fabric/ area of fabric = 71.50/11 = 6.5
as ratio of two type of fabric is different .
hence, the relationship between the number of square yards and the cost
is not proportional between the two types of fabric
Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50