what is the value of (2^3)
Answer:
8
Step-by-step explanation:
[tex]2^3\\=2*2*2\\=8[/tex]
Answer:
8.
Step-by-step explanation:
(2^3) means " two to the power of three' ,a.k.a. " What is two multiplied by itself three times, also known as two times two times two, which is 2 x 2 x 2.
Which is 8.
You mix 7 tablespoons of vinegar for every 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons of baking soda. How much vinegar do you use?
Answer:
105
Step-by-step explanation:
its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105
The amount of usage of vinegar is 26 [tex]\frac{1}{4}[/tex] (26.25) tablespoons.
How do I calculate parts for a recipe?One part equals one teaspoon, one cup, or one ounce if you're measuring in those units. All other constituents are tested against one component, which serves as the fundamental measurement. When choosing the portion size, it's useful to take the size of the completed cocktail—along with the amount of ice required—into account.An equalized ratio is used to measure a part in liquid measurements or 1 part of alcohol.Although it's not always the ideal option for bars and restaurants, it is a simple method to make and scale cocktails. When assessing bar inventory data, standard pours should always be in correct volume.Calculations :
No of baking soda tablespoons = 15 No of baking soda tablespoons forproduce a chemical reaction with
7 tablespoons of vinegar = 4
So , divide both : 15/4 = 3.75 = 3 3/4
= 3.75 x 7 = 26.25 = 26 1/4 tablespoons
of vinegar
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4w+5z=30 what would W equal?
Answer:
w = (30 - 5z)/4
Step-by-step explanation:
solve with inverse operations
4w + 5z = 30
-5z -5z
4w = 30 - 5z
/4 /4
w = (30 - 5z) / 4
Answer:
w=15/2-5z/4
Step-by-step explanation:
4w+5z=30
4w=30-5z
Divide 4 on both sides
w=30/4-5z/4
w=15/2-5z/4
sin^2 A + sin^2A. tan^2A = tan^2A
Step-by-step explanation:
sin^2 A = 1 - COS^2 A
SIN
[tex] {sin}^{2} + (1 - {cos}^{2} ). \frac{ {sin}^{2} }{ {cos}^{2} } [/tex]
hence proved
What is the slope of the equation y– 3 = -4(x - 5)?
-4
-3
20
O 23
Answer:
-4
Step-by-step explanation:
open the bracket and after bring 3 to the other side
y=mX + c. c is the intercept on the y axis, while m is the slope
Which graph represents the equation y = 3sin(1/3x)
Answer:
B
Step-by-step explanation:
its on edge
The trigonometric equation is given as y = 3 sin ( x/3 )
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as y
The value of y = 3 sin ( 1/3 x)
y = 3 sin ( x/3 )
Now , Use the form a sin ( bx - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift
Substituting the values in the equation , we get
a = 3 and b = 1/3
And , the period of 3 sin ( x/3 ) = 6π
So , the function is f ( x ) = 3 sin ( x/3 )
Now , when x = 0 , f ( x ) = 0
when x = 3π/2 , f ( x ) = 3
when x = 3π , f ( x ) = 0
when x = 9π/2 , f ( x ) = -3
Therefore , the graph of the function f ( x ) = 3 sin ( x/3 ) is given below
Hence , the trigonometric equation is 3 sin ( x/3 )
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The half-life of an isotope known as colbalt-60 is 5.26 years. What is the
decay factor of this substance? (Hint: use the equation y= ca” ) Round your
answer to 2 decimal places.
A) 1.14
B) 0.026
C) 0.877
D) 2
Answer:
option a is the right answer
The decay factor is the decay constant subtracted from 1.
The decay factor is (c) [tex]0.87[/tex]
We have:
[tex]T_\frac{1}{2} = 5.26[/tex]
First, we calculate the decay constant [tex](\lambda)[/tex]
This is calculated using
[tex]\lambda = \frac{0.693}{T_\frac{1}{2}}[/tex]
So, we have:
[tex]\lambda = \frac{0.693}{5.26}[/tex]
[tex]\lambda = 0.13175[/tex]
Next, we calculate the decay factor (b) using:
[tex]b =1 - \lambda[/tex]
So, we have:
[tex]b =1 - 0.13175[/tex]
[tex]b =0.86825[/tex]
Approximate to 2 decimal places
[tex]b =0.87[/tex]
Hence, the decay factor is (c) [tex]0.87[/tex]
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Which is the best description for the lines i and k?
Answer: intersecting but not perpendicular
Step-by-step explanation: Let's start by eliminating a few options.
First off, parallel lines are coplanar lines that do not intersect.
In the diagram shown, lines i and k do intersect
so option A doesn't make any sense.
We can also eliminate option C because by definition,
parallel lines do not intersect so we can cross this off.
We also can't conclude that lines i and k are perpendicular,
because we don't have a box at the vertex and from the
diagram shown, it doesn't look like they form a perfect right angle.
That leaves us with option D.
Notice that these two lines cross at a point.
When two lines cross at a point, we say that they intersect.
So they are intersecting lines but not perpendicular.
These are legs of a triangle
11.1
10.2
What is the hypotenuse
Answer:
c≈15.07
Step-by-step explanation:
c=a2+b2=11.12+10.22≈15.07481
4xy
4xy
Area of a square with sides being 4xy
Answer:
Step-by-step explanation:
Answer Text
an equilateral triangle
a right angled triangle
an isosceles triangle
None of these
Answer :
A
Solution :
Acute angle between the lines x2+4xy+y2=0 is tan2(24−1−−−−√)/(1+1)=tan−13–√=tan−1π/3. Angle bisectors of x2+4xy+y2=0 are given by x2−y21−1=xy2
x2−y2=0⇒x=±y
As x+y=0 is perpendicular to x−y=4, so the given triangle is equilateral triangle
If p and q are non-zero rational numbers, and s and t are irrational numbers, which statement is possibly true?
a)the product of pq is irrational
b)the product of pt is rational
c)The quotient p over q is irrational.
d)The quotient s over t is rational.
Answer:
Step-by-step explanation:
only d can be correct,but not always.
let s=√8 (irrational)
t=√2 (irrational)
s/t=√8/√2=√(4×2)/√2=2√2/√2=2 (rational)
so d is true.
again take another example
let s=π (irrational)
t=√2
s/t=π/√2 (irrational)
d is not true.
Which expression is equivalent to 30°?
Answer:
Its A
Step-by-step explanation:
D is not 30 degrees its around 37
The expression A is equivalent to 30 degrees.
We have to determine whether the expression is equivalent to 30°.
What is the equivalent angle?
Two rotation angles that have the same measure.
D is not 30 degrees it's around 37
The value of cos ^-1(root3/2) =30 degree
[tex]\frac{\sqrt{3} }{2}=cos(30^0)[/tex]
The expression is equivalent to 30 degrees.
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the volume of a cube is 343 cubic inches. what is the perimeter of the base of the cube?
Answer:
49
Step-by-step explanation:
the dimensions are 7x7x7 since its a cube so the cube root of 343 is 7. the base would be 7x7=49
The image of the point (-4,3) under a rotation of 90°
(counterclockwise) centered at the origin is
Answer:(-4,-3)
Step-by-step explanation:
if its rotates from -4,3 its going to move to quadrent 3 and in quadrent 3 is negitives thus it being -4,-3
The required image of the given point after 90° rotation is (-4, -3).
Given that,
To determine the image of the point (-4,3) under a rotation of 90 (counterclockwise) centered at the origin.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
here,
Given point (-4, 3), located in the 2nd quadrat when rotating it by 90 counter-clockwise it will go into the 3rd quadrant is implied that the point will go through a transformation of (x, -y), so the image of the point is given as (-4, -3).
Thus, the required image of the given point after 90° rotation is (-4, -3).
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Estimate the 32.4907-4.02
Answer:
28.4707
Step-by-step explanation:
How would I do this
Answer:
the ramp must be lowered
Step-by-step explanation:
Use the definition of the sine function to find the height of a ramp that is 8°.
Sine = Opposite/Hypotenuse
sin(8°) = height/8
height = 8×sin(8°) = 1.11
The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.
The ramp must be lowered.
Solve the system of linear equations by substitution. x−2y=1 x+4y=13
Answer: {x,y}={5,2}
Step-by-step explanation:
simplyfy (2 − 4) − (3 + 5) + ( − 6) − (5 + 7)
Answer:
= 55/3
Step-by-step explanation:
yw ;)
The sum of two numbers is 48. One number is 4 less than the other. Find the numbers.
Answer:
=26
=22
Step-by-step explanation:
[tex] \: \: \: x+x-4=48 \\ = 2x - 4 = 48 \\ = 2x = 48 + 4\\ = 2x = 52 \\ = x = 26 \\ \: \: \: \: \: \: \: \: \:= x - 4 = 26 - 4 = 22[/tex]
Solve the system of linear equations given below.
4x+y= -4
x+y=2
Answers
a. (2,4)
b. (-4,-5)
c. (-2,4)
d (-4,5)
Answer: C
Steps: 4x + y = -4, x + y = 2
Isolate the x for (x + y = 2): x = 2 - y
Plug the value of x into the other equation: 4(2 - y) + y = -4
Simplify: -4y + 8 + y = -4
Combine like variables (letters): -4y + y = -3y
So -3y + 8 = -4
Subtract eight from both sides: -3y + 8 - 8 = -4 - 8
-3y = -12
Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3
Simplify: y = 4
Plug the value of y into one of the original equations (I'll use x + y = 2):
So x + 4 = 2
Isolate the x variable: x = -2
Find the probability of tossing 3 tails, then 4 heads, on the first 7 tosses of a fair coin
Answer:
zxczxcz
Step-by-step explanation:
Can someone me with this problem?
Answer:
K and H is my best answer
IHF and JKH
Answer:
<IHF and <LKH
Step-by-step explanation:
Corresponding angles are any pair of angles which are on the same side of two lines cut by a transversal. These lines must be parallel in order for the angles to be corresponding
There are many corresponding angles in this diagram:
<MKJ and <KHG
<MKL and <KHI
Often, there are more connections between the different math courses than we realize. What are the similarities and differences between the courses you have taken? How did these influence your choice of preferred course?
My preferred course is Statistics because I enjoy analyzing data, making predictions and using probability to make decisions. Statistics is useful in many fields including business, economics, and science.
Mathematics is a fundamental subject that is essential for all students to learn in school. As students advance through different math courses, they will find that there are more connections between them than they might initially realize.
In this essay, I will discuss the similarities and differences between the math courses I have taken and how they influenced my choice of preferred course.
The courses I have taken include Algebra, Geometry, Calculus, and Statistics. In Algebra and Geometry, I found that both subjects involve solving problems using formulas and equations.
In Algebra, I learned how to solve linear equations and inequalities while in Geometry, I learned how to measure the shapes of objects and their angles.
On the other hand, Calculus was different from the other courses because it involved analyzing and solving problems using limits, derivatives, and integrals.
Statistics, however, was the course that I found most useful because it allowed me to make informed decisions based on data analysis. Additionally, it is a prerequisite for most advanced degrees in these fields.
I believe that my experience in the other math courses played a significant role in helping me understand Statistics better because they provided a strong foundation of mathematical concepts and problem-solving skills.
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Carlos made a graph that represents the number of miles he travels, y, for the number of hours he drives, x. The graph is a straight line that passes through the origin and the point (1, 28.5). Which statement must be true?
"The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.
Since the graph is a straight line that passes through the origin (0,0) and the point (1, 28.5), we can determine the equation of the line using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we have:
m = (28.5 - 0) / (1 - 0)
m = 28.5 / 1
m = 28.5
So, the slope of the line is 28.5.
Since the line passes through the origin (0,0), the y-intercept (b) is 0.
Therefore, the equation of the line is y = 28.5x.
Based on this information, the statement that must be true is: "The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."
In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.
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Drag the numbers below to put them in order from least to greatest:
1.24
1.199
1.1
1.13
1.16
1.192
Answer:
1. 1.1
2. 1.13
3. 1.16
4. 1.192
5. 1.199
6. 1.24
Answer:
1.1, 1.13, 1.16, 1.192, 1.199, 1.24
Hope this helps!
P= 2L + 2W for L.
solve for P
Answer:
Step-by-step explanation:
What is the domain of the set of ordered pairs {(-4,0), (-2,2), (0, 1), (2,3), (3, 4)}?
Answer:
Domain: { -4,-3,0,2,3}
Step-by-step explanation:
The domain is the input values
The range is the output values
Domain: { -4,-3,0,2,3}
A triangle has angles that measure 54.6 and 17.8 . What equation can be used to find the value of the third angle in the triangle
Answer:
180=54,6+17,8+x(the third angle)
Step-by-step explanation:
The three angles in a triangle counted together always give 180 degrees. Therefore, you can use simple equation, in which you subtract the values of the two known angles from 180 (degrees) and the final number will be the value of thethird angle. In this case, it's
180-54,6-17,8=x
107,6=x
Answer:
I dont really know this one but I think it is x = (54.6 +17.8) ÷ 2. I donk know for sure tho.
Step-by-step explanation:
A cube of wood measures 9 centimeters on a side and weighs 23 grams.
Answer:
the density is 25 grams
Step-by-step explanation:
Length of wood=9 cm
Volume of wood =9x9x9=729cm^3
Mass of wood(m) =23g
Density of wood =m/V
=23/729
=0.03 g/cm^3
The density of the cube of wood will be 0.32 grams per cubic cm.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A cube of wood measures 9 centimeters on a side and weighs 23 grams. Then the density is a ratio of the weight to volume.
Denasity = Mass / Volume
The volume of the cube is given as,
V = 9³
V = 729 cm³
Then the density is given as,
D = 23 / 729
D = 0.32 gram / cubic cm
The density of the cube of wood will be 0.32 grams per cubic cm.
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Jennifer has 15 plates and 18 napkins that she wants to arrange in baskets. There needs to be the same number
of plates and the same number of napkins in each basket.
What is the greatest number of baskets that she can make? How many napkins and how many plates will be in
each basket?
Answer:
i thik itz 3
Step-by-step explanation:
