Answer:
220.455
Step-by-step explanation:
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10
Answer:
8 sqrt(10)
Step-by-step explanation:
2 sqrt(8) * sqrt(20)
We know sqrt(a) * sqrt(b) = sqrt(ab)
2 sqrt(8) * sqrt(20)
2 sqrt(160)
2 sqrt(16*10)
2 sqrt(16) sqrt(10)
2 *4 sqrt(10)
8 sqrt(10)
Answer:
First, we can write 2√8 as 2 x √8. This will make the next calculations easier.
So the problem becomes 2 x √8 x √20.
We can group together √8 and √20, to get √160.
And we have: 2√160.
However, this can be simplified further, as 16x10 = 160, and so we obtain the final answer of 8√10.
C is correct.
Tyna simplified the expression StartFraction 3 x cubed Over 12 x Superscript negative 2 Baseline EndFraction to StartFraction x Over 4 EndFraction. What was Tyna's mistake? She divided the coefficients incorrectly. She added the exponents instead of subtracting them. She divided the coefficients instead of subtracting them. She subtracted the exponents instead of dividing them.
Answer:
She divided the coefficients incorrectly
Step-by-step explanation:
A. She divided the coefficients incorrectly.
B. She added the exponents instead of subtracting them.
C. She divided the coefficients instead of subtracting them.
D. She subtracted the exponents instead of dividing them.
Correct calculation:
3x³/12x^-2
= 3x³ ÷ 12x^-2
= 3x³ ÷ 1/12x²
= 3x³ × 12x²/1
= 36x^5
Tyna's calculation:
3x³/12x^-2 = x/4
Answer:the answer is A
Step-by-step explanation:
got 100 on the test
find the length of side x to the nearest tenth
Answer:
9.9
Step-by-step explanation:
x = √(7²+7²)
= √(49+49)
= √(49×2)
= 7√2
= 9.9 (rounded to the nearest tenth)
Answered by GAUTHMATH
Answer:
9.9
Step-by-step explanation:
Since this is a right and isosolese triangle, the adjacent side is also 7, so
c**2 = a**2 + b**2
c**2 = 7**2 + 7**2
c**2 = 49 + 49 = 98
c = +- (98)**1/2
c = 9.9
91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
is it a,b,c or d?
Answer:
5
5 1/2
6 1/2
Step-by-step explanation:
Let n=1
a1 = 5+(1-1)*(1/6)
a1 = 5
Let n=4
a4 = 5+(4-1)*(1/6)
a4 = 5 +3(1/6)
a4 = 5+1/2 = 5 1/2
Let n=10
a10 = 5+(10-1)*(1/6)
a10 = 5 +9(1/6)
a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2
how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true
3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Answer:
2.25 miles per minute
Step-by-step explanation:
Speed = Distance/Time
135/60
2.25 miles per minute
Answer from Gauthmath
For the function f(x)=3X+5/x+5 find f^1(x)
Answer:
When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.
The inverse is 5 / x - 8
Translate the phrase into an algebraic expression. The product of 3 and w
tan theta is equal to 2- cos theta find the value of sin theta
Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
Pythagorean Theorem
The diagram shows square 1, 2, and constructed on the sides of right
triangle
3
1 2
Which statement about the squares must be true?
Option A
We can prove this by a example
Take a pythagorean triplet 3, 4, 5
Now 5 is the hypotenuse
Area 1 = 3^2
= 9
Area 2 = 4^2
=16
Area 3 = 5^2
=25
So 9 + 16 = 5
25 = 25
Therefore its option A
Answered by Gauthmath must click thanks and mark brainliest
The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
From the general formula of the area of the square,
Area of 1 = (side of 1st)²
Area of 2 = (side of 2nd)²
Area of 3 = (side of 3rd)²
From the Pythagorean theorem in the given triangle,
(side of 2nd)²+(side of 1st)² = (side of 3rd)²
Thus,
(Area of 1) + (Area of 2) = (Area of 3)
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.
Answer:
V = 267.9 in^3
Step-by-step explanation:
V = 4/3 * (pi) * r^3
V = 4/3 * 3.14 * 4^3
V = 4/3 * 3.14 * 64
V = 256/3 * 3.14
V = 803.84/3
- 6 x 8 - (4)² - (-72)
Answer:
[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
Simplify
Help me please
Answer:
[tex]\frac{-27b^{6}}{c^{18}}[/tex]
Step-by-step explanation:
first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]
which of the answers is correct
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
What is a linear system?
Answer:
Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?
Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
simplify: 3(x-2)+2(2x+5)=35
Answer:
x=31/7
Step-by-step explanation:
3x-6+4x+10=35
7x=31
x=31/7 (The task was to find the x, not simplify)
Answer:
[tex]x=\frac{31}{7}[/tex]
Step-by-step explanation:
One is given the following equation,
[tex]3(x-2)+2(2x+5)=35[/tex]
Distribute, multiply every term inside the parenthesis by the term outside of it.
[tex]3(x-2)+2(2x+5)=35[/tex]
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
Simplify,
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
[tex]3x-6+4x+10=35[/tex]
[tex]7x+4=35[/tex]
Inverse operations,
[tex]7x+4=35[/tex]
[tex]7x=31[/tex]
[tex]x=\frac{31}{7}[/tex]
complete the first 4 steps for graphing the quadratic function given.
y= -x^2 -4x -3
ty<3
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50
anyone know the mean median and mode for this?
with work show pls
Answer:
just apply d formular 4 each
lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular
for median=£f/2 since it's odd number add +1
=£f+1/2
=23+1/2
=24/2
=12 .the 12 would fall on 69 inches using the cumulative method
mode is 66 since it's the number with the highest frequency
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
