Answer:
1080.
Step-by-step explanation:
0.00025 tonnes = 0.00025 * 1000 = 0.25 kg.
Total number of packets
(3 *90) / 0.25
= 12*90
= 1080.
jack needs 22 crew members for every 2 ships he manages complete the table
Answer: 2 55 121
22 5 11
Step-by-step explanation:
Evaluate the following expressions by substituting s = 10 and t = 2.
3t2s
110
120
100
130
Answer:
b. 120
Step-by-step explanation:
3t2s
3(2)2(10)
6(20)
120
Answer:
Hello! The answer is 120.
Step-by-step explanation:
s = 10 and t = 2
Substitute:
(3)(2)(2)(10)
3 × 2 = 6
2 × 10 = 20
6 × 20 = 120
URGENT!!!
A solution of 51% fertilizer is to be mixed with a solution of 26% fertilizer to form 250 liters of a 50% solution. How many liters of the 51% solution must be used?
We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.
How to prepare a solution by using weighted averages
Herein we have to prepare a solution with fertilizers by mixing two different solutions. The amount needed of the 51 % solution can be found by weighted averages:
(50/100) · (250 L) = (51/100) · x + (26/100) · (250 - x)
50 · 250 = 51 · x + 26 · 250 - 26 · x
24 · 250 = 25 · x
x = 240
We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.
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The table shows three unique functions.
f(x) g(x) h(x)
4
6
3
x
-2
-1
1
2
12126
4-
5
9
HINHIN
1
2
1
7:
8
=2
F
L
11212
Which statements can be used to compare the
characteristics of the functions? Select two options.
f(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
h(x) has a range of all negative numbers.
All three functions share the same domain.
The true statements about the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to determine the true statements?The complete question is in the attached image
From the image, we have:
g(x) has the greatest maximum value of 7 1/2All the values of h(x) are negativeAll the values of f(x) are positiveThis means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.
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Need help please if you know the Answer!!
[tex] \frac{?}{20} = \frac{6}{10} [/tex]
[tex] \frac{?}{2} = 6 \\ ? = 6\times 2 = 12[/tex]
Evaluate the following expressions by substituting s = 10 and t = 2.
3t2s.
1. 110
2. 120
3. 100
4. 130
Answer:
2. 120
Step-by-step explanation:
3t2s
Replace variables t and s with 2 and 10
3 x 2 x 2 x 10
6 x 20
=120
So the answer is number 2. 120
Surds question pls help me out! Ty!
Step-by-step explanation:
Question 46.
[tex](2\sqrt{5}-\sqrt{2} )^2=(2\sqrt{5})^2-2*2\sqrt{5}*\sqrt{2} +(\sqrt{2})^2 } =4*5-4*\sqrt{2*5} +2=\\=20-4\sqrt{10}+2=22-4\sqrt{10}.[/tex]
Answer: E. None of these.
Question 47.
[tex]\frac{4\sqrt{5} }{\sqrt{3} } =\frac{4*\sqrt{5}*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{4*\sqrt{5*3} }{3}=\frac{4\sqrt{15} }{3} .[/tex]
Answer: E. None of these.
Answer:
45) E 47) E
Step-by-step explanation:
45)
Remember the formula [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex](2\sqrt5-\sqrt2)^2=(2\sqrt5)^2-2(2\sqrt5\times\sqrt2)+(\sqrt2)^2\\\\=20-2(2\sqrt{10})+4\\\\=24-4\sqrt{10}[/tex]
Hence E. None of these.
47)
[tex]\frac{4\sqrt{5}}{\sqrt3}=\frac{4\sqrt5\times\sqrt3}{\sqrt3\times\sqrt3}\\\\=\frac{4\sqrt15}{3}[/tex]
Hence E. None of these.
Have a nice day, also please mark brainliest thanks :)
The Big O notation of the composite function 5N^3 O(N^2) is _____. a. O(5N^3) b. O(N^3 N^2) c. O(N^3) d. O(N^5)
The Big O notation of the composite function 5N^3 O(N^2) is c. O(N^3).
A composite function of two capabilities combines the given two functions inside the given order. i.e., for any given functions f(x) and g(x), there may be four composite functions: f(g(x)) that is substituting g(x) into f(x) g(f(x)) that's substituting f(x) into g(x).
A composite characteristic is a function that relies upon any other feature. A composite characteristic is created while one characteristic is substituted for another feature. For instance, f(g(x)) is the composite function that is fashioned whilst g(x) is substituted for x in f(x). f(g(x)) is studied as “f of g of x”.
In Maths, the composition of a character is an operation wherein two capabilities say f and g generate a brand new feature say h in one of these manners that h(x) = g(f(x)). It method right here feature g is implemented to the function of x. So, basically, a feature is carried out to the result of every other feature.
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Heelp for 20 points!!
The slope intercept form is written as: y= mx+b
where m is slope and b is the y-intercept
Here m is 1/5 and -8 is b
So, 1/5 and -8
Hope it helps!
Find the coordinates to the vertices of the figure after the given transformation. T<1,0>
Answer:
(1,0)
Step-by-step explanation:
I'm just gonna say that the point you want to be transformed is the origin. It will be moved to (1,0)
Oder the following expressions
An inverted right circular cone of capacity 1000 cm3 is filled with water to half of its depth. Volume of water (in cm2) is:
A. 125
B. 500
C. 250
D. 300
E. 400
Use the Law of Cosines to solve for the largest angle in the triangle with the given measures. Round answers to the nearest tenths.
A=22m b=24m c=26 m
Answer:
Angle C = 68.7°
Step-by-step explanation:
The largest angle es angle C ([tex]\beta[/tex])
[tex]26^{2} =22^{2} +24^{2} -2(22)(24)cos\beta[/tex]
[tex]676=484+576-1056cos\beta[/tex]
[tex]676-1060=-1056cos\beta[/tex]
[tex]\frac{-384}{-1056} =cos\beta[/tex]
[tex]\beta =cos^{-1} (\frac{-384}{-1056} )=cos^{-1} (.36363)=68.676=68.7^{o}[/tex]
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be 5–√ ?
The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The question is:
Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5
[tex]\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}[/tex]
5 = 4 + (6 + k)²
After solving:
[tex]\rm 4+\left(6+k\right)^2-4=5-4[/tex]
(6 + k)² = 1
k = -5 or -7
Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5
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plss helpp its due tmr and i dont really get ittt
The orthocenter of the triangles ABC are (2, 0) and (3, 3)
How to determine the orthocenter?Question 8
The coordinates are given as:
A(2,0); B(2, 4); C(6,0)
Calculate the slope of BC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(0 - 4)/(6 - 2)
m =-1
The perpendicular slope is:
n = -1/m
n = -1/-1
n = 1
The equation of the perpendicular line is
y = n(x - x1) + y1
Where:
(x1, y1) = (2,0)
So, we have:
y = 1(x - 2) + 0
y = x - 2
Calculate the slope of AC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(0 - 0)/(6 - 2)
m =0
The perpendicular slope is:
n = -1/m
n = undefined
This means that the perpendicular line is a vertical line
The equation of the perpendicular line is
x = x1
Where:
(x1, y1) = (2,4)
So, we have:
x = 2
Substitute x = 2 in y = x - 2
y = 2 - 2
y = 0
So, we have:
(x, y) = (2, 0)
Hence, the orthocenter of ABC is (2, 0)
Question 9
The coordinates are given as:
A(1,1); B(3, 4); C(6,1)
Calculate the slope of BC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(1 - 4)/(6 - 3)
m =-1
The perpendicular slope is:
n = -1/m
n = -1/-1
n = 1
The equation of the perpendicular line is
y = n(x - x1) + y1
Where:
(x1, y1) = (1,1)
So, we have:
y = 1(x - 1) + 1
y = x
Calculate the slope of AC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(1 - 1)/(6 - 1)
m =0
The perpendicular slope is:
n = -1/m
n = undefined
This means that the perpendicular line is a vertical line
The equation of the perpendicular line is
x = x1
Where:
(x1, y1) = (3,4)
So, we have:
x = 3
Substitute x = 3 in y = x
y = 3
So, we have:
(x, y) = (3, 3)
Hence, the orthocenter of ABC is (3, 3)
How to solve for x?Question 18 - 20
Line 2x and x+ 3 are congruent lines
So, we have:
2x = x +3
Solve for x
x= 3
Line 3x and 2x + 5 are congruent lines
So, we have:
3x = 2x +5
Solve for x
x = 5
Line 2x - 3 and x + 2 are congruent lines
So, we have:
2x - 3 = x + 2
Solve for x
x = 5
Question 21 - 23
Line x + 5 and 3x + 7 are congruent lines
So, we have:
x + 5 = 3x + 7
Solve for x
x = -1
Line x + 6 and 5x - 4 are congruent lines
So, we have:
x + 6 = 5x - 4
Solve for x
x = 2.5
Line x + 8 and 5x + 7 are congruent lines
So, we have:
x + 8 = 5x + 7
Solve for x
x = 1/4
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What is 30% off $60?
Answer:
$18
Step-by-step explanation:
Simply just multiply 30/100 with 60 = (30/100)*60 = (30*60)/100 = 18
The value of 30% off $60 is number 18.
To calculate a 30% discount off $60, you can follow these steps:
Convert the percentage to a decimal:
30% is equal to 0.30.
Multiply the original price by the decimal:
$60 × 0.30
= $18.
Therefore, a 30% discount off $60 would be $18.
The discounted price would be $60 - $18 = $42.
Hence, the value of 30% off $60 is 18.
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What is the surface area of the right cylinder below?
Answer:
cant say you dont show
Step-by-step explanation:
id love to help but like send a picture next time
Ayudarás por favoorrrrrrrt
Answer:
75 / 192
Step-by-step explanation:
When it comes to multiplying fractions, you just multiply them straightforward. Multiply the numerator with the numerator, and the denominator with the denominator
Given: f(x)= x² + 3x-4 and g(x) = x-4
Answer:
x-intercept of f(x)=x²+3x-4 is (1,0) &(-4,0)
x-intercept of g(x)=x-4 is (4,0)
y-intercept of f(x)=x²+3x-4 is (0,-4)
y-intercept of g(x)=x-4 is (0,-4)
Step-by-step explanation:
[tex]f(x) = x {}^{2} + 3x - 4 \\ to \: find \: x \: intercept \: subistitute \: f(x) = 0 \\ 0 = x {}^{2} - 3x - 10 \\ x { }^{2} - 3x - 1 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5 \\ the \:equation \: x \: intercept \: are \: - 2and \: 5 \\ f(0) = 0 {}^{2} + 3(0) - 4 \\ - 4 \: is \: y \: intercept \: of \: f(x) = x {}^{2} + 3x - 4 \\ where \: as \: for \: g(x) = x - 4 \\ to \: find \: x \: intercept \: f(x) = 0 \\ 0 = x - 4 \\ - x = - 4 \\ x = 4 \\ 4is \: the \: x \: intercept \: and \: for \: the \: y \: intercept \\ g(0) = 0 - 4 \\ y = - 4is \: the \: y \: intercept.[/tex]
is the ray with endpoint . and intersect.
By looking at the diagram, we can see that:
The endpoint of ray DE is D.The rays GA and DF never do intersect.How to identify the endpoint of the ray?
As you can see, the ray DE starts at point D and then passes through E, and then continues.
Then the only endpoint of that ray is D.
How to identify the intersection between the rays?The ray GA starts at point G and goes through A (so it goes to the left of G).
The ray DF starts at point F and goes through F (So it goes to the right of D).
Then these two rays don't intersect, because D is at the right of G.
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Find the sum of a third (a+b) and a fifth of (a-b)
Answer:
(5a+5b+3ab)/15
Step-by-step explanation:
qquy đồng lên thôi !!
Please help, i have been doing this for a while and it is still wrong.
Eric is standing on horizontal ground. His height is 1.65 m. His shadow is 1.30 m long. At this moment, what is the acute angle between the sunlight and the ground in the unit of degrees?
At this moment, what is the acute angle between the sunlight and the vertical direction in the unit of degrees?
Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
HELP PLEASE
Given: a = 3, b = 4,
and c = 6. What is the measure of angle A to the
nearest tenth?
Answer:
26.4
Step-by-step explanation:
Law Of Cosines:
[tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}[/tex]
This should work for any side. This can generally be thought as:
[tex]cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}[/tex]
If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)
[tex]cos(B)=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]cos(C) =\frac{a^2+b^2-c^2}{2ab}[/tex]
Anyways now just plug in the known values into the equation
[tex]cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\[/tex]
Square and multiply values
[tex]cos(A)=\frac{16+36-9}{48}[/tex]
Add the values in the numerator
[tex]cos(A)=\frac{43}{48}[/tex]
Take the inverse of cosine on both sides
[tex]A=cos^{-1}(\frac{43}{48})[/tex]
calculate arccosine (inverse cosine) using a calculator
[tex]A\approx 26.384[/tex]
Round to nearest tenth
[tex]A\approx26.4[/tex]
The weight of a piece of raw silk that is 100 yards long by 1.25 yards wide (standard width) is about 38 pounds. The weight of an equal amount of habutai silk is about 12 pounds. If katharine bought pieces of raw silk and habutai silk that were both 12.5 yards long, how much would they weigh together show your work pls
The total weight of the two pieces together is 6 pounds.
How much would the two pieces weigh together?A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.
Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:
M = (12.5/100)*38lb = 4.75 lb
And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.
Then, a piece that is 12.5 yards long will weigh:
M' = (12.5/100)*12lb = 1.5 lb
If we add these two, we get a total weight of:
M + M' = 4.5lb + 1.5lb = 6lb
The total weight of the two pieces together is 6 pounds.
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which of the following statements are true
Answer: B , c, E
Step-by-step explanation:
Given that ,
∡J=90° , ∡k=30° , ∡L=60°
In the triangle ΔJKL,
tan ∠L = tan 60°
⇒ JK÷JL= √3
⇒JK = √3JL
Thus, A is incorrect and B is correct
Again,
cos ∠L = cos60° =0.5
⇒JL/KL = 1÷2
⇒ JL = (1÷2)KL
⇒JL×2= KL
⇒ KL=2JL
Hence, F & D are incorrect and C is correct
Earlier we got,
JK = √3.JL
⇒JL=JK÷√3
and JL= (1÷2).KL
So, JK÷√3=(1÷2)KL
⇒JK÷√3×2 = KL
⇒2.JK= √3KL
⇒JK = (√3÷2).KL
hence E is correct
The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 3% per hour. Suppose that a sample culture has an initial population of 428 bacteria. Find the predicted population after six hours. Do not round any intermediate computations, and round your answer to the nearest tenth.
The predicted population of bacteria when following a continuous exponential growth model, at a relative rate of 3% per hour, from an initial population of 428 bacteria grows to 512.4 bacteria in 6 hours.
A continuous exponential growth model is used to determine the final value of a quantity (V), from an initial value of the quantity (V₀), at a rate of continuous growth per unit time (r), after the time (t), as:
[tex]V = V_0e^{rt}[/tex].
In the question, we are given that the number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 3% per hour.
We are asked, to find the predicted population after six hours when the initial population was 428 bacteria.
Thus, we take V₀ = 428, r = 3% = 0.03, and t = 6, in the equation:
[tex]V = V_0e^{rt}[/tex] ,
to find the predicted population (V) of bacteria after 6 hours.
Thus,
[tex]V = 428e^{0.03*6}\\\Rightarrow V = 428e^{0.18}\\\Rightarrow V = 428*1.1972173631218\\\Rightarrow V = 512.40903141613\\\Rightarrow V = 512.4[/tex]
Rounding to the nearest tenth.
Thus, the predicted population of bacteria when following a continuous exponential growth model, at a relative rate of 3% per hour, from an initial population of 428 bacteria grows to 512.4 bacteria in 6 hours.
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There are 12 pupils in a class.
They are each asked whether they have a brother or a sister.
9 say they have a brother.
7 say they have a sister.
2 say they have neither.
€
Fill in the Venn diagram
& = class of 12 pupils
B= pupils who have a brother
S= pupils who have a sister
Answer:
Circle B: 3
Both circle B + S: 6
Circle S: 1
Outside of box: 2
M= 2²×3×5² N=2³×3²×7
find the largest Number that divides exactly into M and N
Answer:
12
Step-by-step explanation:
just find the HCF, which will be
2² × 3 = 12
A stack of 100 nickels has a height of 6.25 inches. What is the value, in dollars, of an 8-foot stack of nickels
The value of nickels is $76.80.
The height of each nickel is 6.25 / 100 = 0.0625 inches.
Divide 8 feet by 0.0625 inches to find that there are
8×12 / 0.0625 = 1536 nickels in an 8 ft stack.
Their value is $76.80.
Nickel is a chemical detail with the symbol Ni and atomic range 28. It is silvery-white lustrous steel with a mild golden tinge. Nickel belongs to the transition metals and is hard and ductile.
Pure nickel, powdered to maximize the reactive surface vicinity, indicates a widespread chemical interest, but large pieces are slow to react with air underneath fashionable conditions because an oxide layer paperwork at the floor stops further corrosion (passivation).
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Which of the following define the same Arithmetic Sequence using a Recursive Formula
and an Explicit Formula?
O a₁ = -23, an = an-1 + 12
and an-23 +12(n-1)
O a₁ = -100, an = an-1 + 1
and an 100-1(n-1)
=
O a₁ = -41, an = an-1 + 12
and an 12-41(n-1)
O a₁ = 50, anan-1-4
and an 50+ 4(n-1)
The choice which defines same arithmatic sequence using a Recursive Formula and an Explicit formula is (A) which is [tex]a_1= -23, a_n = a_{n-1}+ 12,a_n=-23 +12(n-1)[/tex]
If first term of a arithmatic sequence is a₁ and the common difference is d then,
By Explicit Formula, the n-th term of the sequence is given by,
[tex]a_n=a_1+(n-1)d[/tex]
By Recursive Formula,
[tex]a_n=a_{n - 1}+d[/tex]
In the first choice: a₁ = -23 and
[tex]a_n=a_{n-1}+12[/tex]
Then by recursive formula, it suggests arithmatic sequence with first term -23 and common difference 12.
and
[tex]a_n=-23+12(n-1)[/tex]
So by explicit formula it also suggests arithmatic sequence with first term -23 and common difference 12.
So it is one correct choice.
In second choice: a₁ = -100 and
[tex]a_n=a_{n-1}+1[/tex]
By recursive formula, it suggests arithmatic sequence with first term -100 and common difference 1.
[tex]a_n=100-1(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 100 and common difference -1.
So it is not the correct choice.
In third choice: a₁ = -41 and
[tex]a_n=a_{n-1}+12[/tex]
By recursive formula, it suggests arithmatic sequence with first term -41 and common difference 12.
[tex]a_n=12-41(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 12 and common difference -41.
So it is not the correct choice.
In fourth choice: a₁ = 50 and
[tex]a_n=a_{n-1}-4[/tex]
By recursive formula, it suggests arithmatic sequence with first term 50 and common difference -4.
[tex]a_n=50+4(n-1)[/tex]
By explicit formula, it suggests arithmatic sequence with first term 50 and common difference 4.
So it is not the correct choice.
Hence the option (A), the first choice is correct.
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