Answer:
No, the piece of Wood will not follow.
a) Volume = 0.00105 m³
b) Density of Wood = 1200 kg/m³
Step-by-step explanation:
For the piece of wood to float on salt water, the density of the wood should be less than 1030kg/m³
First we'll calculate the volume of the piece of wood, which later we'll use to find the density.
a) Volume of WoodVolume is given by 7 cm × 10 cm × 15 cm
Convert all the values into meters.
7 cm = 7/100 = 0.07 m
10 cm = 10/100 = 0.10 m
15 cm = 15/100 = 0.15 m
Calculate Volume:
Volume = 0.07 m × 0.1 m × 0.15 m
Volume = 0.00105 m³
b) Density of Wood
Formula for density is given by
Density = Mass / Volume
Where
Volume = 0.00105 m³
Mass = 1260 g = 1260/100 = 1.260 kg
Density = 1.260 kg/0.00105 m³
Density of Wood = 1200 kg/m³
As Density of Wood ≥ Density of Salt water , the piece of Wood will not float.
I NEED HELP BEFORE 10:00 A.M! (please no lengthy explanations, I will be attaching an image with the question shortly)!
Answer:
From the dentis go 6 miles east to the pool,
Then, go 9 miles north to the school,
Finally, go 13 miles west to the bank.
Which one ??????? :(
Answer:
D.
Step-by-step explanation:
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
1/9
2/3
54
96
Answer:
Y=2/3
Step-by-step explanation:
Y varies directly as X
Y=k x
K is a constant
6=k72
K=1/12
Y=1/12x
Y=1/12×8
y=2/3
Town B is 40km due North of town A. what is the bearing of A from B
Answer:
Step-by-step explanation:
40km is the bearing
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2 Which of the following functions best represents the graph? f(x) = (x − 2)(x − 3)(x + 2) f(x) = (x + 2)(x + 3)(x + 12) f(x) = (x + 2)(x + 3)(x − 2) f(x) = (x − 2)(x − 3)(x − 12)
Answer:
i would say f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded
Step-by-step explanation:
The slope of the line below is -3 which of the following is the point-slope form of the line? (2, -2)
Answer:
y+2=-3(x-2)
Step-by-step explanation:
y+2=-3(x-2)
simplify 10+4(−8q−4)
Answer:
10 + 4(-8q - 4)
= 10 + 4 * (-8q) + 4 * (-4) (Distribute 4)
= 10 - 32q - 16 (Expand)
= -32q - 6 (Combine like terms)
Answer:
[tex]-32q-6[/tex]
Step-by-step explanation:
[tex]10+4(-8q-4)[/tex]
[tex]10+4(-8q)+4(-4)[/tex]
[tex]10+-32q+-16[/tex]
[tex]-32q+-16+10[/tex]
[tex]-32q+-6[/tex]
Solve for x: [tex]22y\3x=8[/tex]
Answer:
x = 4/(11y)
Step-by-step explanation:
22yx = 8
Solve for x so divide each side by 22y
22xy/22y = 8/22y
x = 4/(11y)
The composite figure is made up of a triangle, a square and a trapezoid find the area
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
----------------
Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
----------------
R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer: 71 sq. units
Step-by-step explanation:
formula: 1/2bh + lw + 1/2h(b1+b2)
1/2(20) + (25) + 1/2 (6) (12)
10 + 25 + (3) (12)
10+ 25 + 36 = 71
Determine if triangle DEF with coordinates D(2,1), E(3,5), and F (6,2) is an equilateral triangle. Use evidence to support your claim
Answer:
No, it is isosceles.
Step-by-step explanation:
(In assumption that the points have been plotted on a graph)
After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.
Finding DE and DF
To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.
Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+8^2=c^2[/tex]
[tex]4 + 64 = c^2[/tex]
[tex]68=c^2[/tex]
[tex]\sqrt{68} =c[/tex]
[tex]8.25=c[/tex]
The lengths of DE and DF are both roughly 8.25
Finding EF
Finding EF is going to be the same process but just a little different.
If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.
[tex]a^2 + b^2 =c^2[/tex]
[tex]6^2+6^2=c^2[/tex]
[tex]36+36=c^2[/tex]
[tex]72=c^2[/tex]
[tex]\sqrt{72} =c[/tex]
[tex]8.49=c[/tex]
The length of EF is roughly 8.49 units.
Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.
Answer:
No it is isosoles
Step-by-step explanation:
Use a calculator to find tan 72°. Round to the nearest thousandth.
Answer:
3.078
Step-by-step explanation:
tan 72° = 3.078
Answer:
tan 72 = 3.078
Step-by-step explanation:
rounded like requested
Which equation represents a line which is parallel to the line y = - 3x - 1?
A. 3y - x = 12
B. x + 3y = 6
C. 3y + y = -8
D. 3x - y = -2
what is the amplitude and period of f(t)=4cos(t)?
Answer:
Amp: 4
Period: 2π
Answer: B
Step-by-step explanation:
The ratio of Tom's studying time on a weekday to his studying
time on a weekend day is 4:5. If he studies 2.4 hours each
weekday, how many hours does Tom study in total every
week?
_hours
Answer:
6 hrs
Step-by-step explanation:
4:5
2.4 : 3.2
2.4+3.2=6 hrs
Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 times 6 times 6 / 6 times 6 times 6 c: 6^4/6^2 d: 6^5 times 6^7/6^10
Question:
Select the three expressions that are equivalent to [tex]6^2[/tex]:
a: [tex](\frac{6^9}{6^8})^2[/tex]
b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Answer:
a: [tex](\frac{6^9}{6^8})^2[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Step-by-step explanation:
Given
[tex]6^2[/tex]:
Required
Find equivalent expressions
To solve this question; we'll simplify options a to do, one after the other
a: [tex](\frac{6^9}{6^8})^2[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that;
[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]
[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]
From laws of indices;
[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]
This implies that
[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]
[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]
Hence, [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]
b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]
Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]
c. [tex]\frac{6^4}{6^2}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]
[tex]\frac{6^4}{6^2} = 6^{2}[/tex]
Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]
d. [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]
Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]
Antonio was eating a bag of M&Ms. There were 4 green M&Ms, 20 brown M&Ms, 16 red
M&Ms, and 11 blue M&Ms. What is the probability of Antonio eating a blue M&M next?
Answer:
11/51 or 0.21468627
Step-by-step explanation:
[tex]( - 8x}^{2} - 5x - 6) + ( - x { }^{2} - x + 5)[/tex]
Solve
Answer:zooooooooooooooooooooooooooooooooom
Step-by-step explanation:
1/2 expressed as a decimal fraction is?
Answer:
0.50 is a decimal fraction of 1/2.
Step-by-step explanation:
Please mark me as brainliest. I need to rank up.
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
a. 2Db
b.22Db
c. 60Db
d. 110Db
Answer:
D. 110Db
Step-by-step explanation:
Db = 10log (10^-1 / 10 ^-12)
Db = 10log(10^11)
Db = 110
(even without calculating, we could guess that it was 110Db. 70 Db is about the normal talking Db, and rock concerts are generally a lot louder than regular talking)
Answer:
D. 110Db
Step-by-step explanation:
in a right triangle, what is the 3rd angle measure if an angle is 25
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
65
Step-by-step explanation:
right angle=90
[tex] {90}^{0} [/tex]
therefore 90-25=the third angle 65
For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?
Answer:
k = -2
Step-by-step explanation:
Given equation
1-kx = -3y
point on this line = (4,-3)
If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation
1-kx = -3y
using x = 4 and y = -3
1-k*4 = -3*-3
1 - 4k = 9
=> -4k = 9 -1 = 8
=> k = 8/-4 = -2
Thus, value of k is -2
7. The probability of passing an
examination is 0.77. What is the
probability of failing the examination?
A. 0.22
B 0.23 C. 0.33
D. 0.72
E. 0.77
Answer:
Option B
Step-by-step explanation:
Total Probability = 1
Probability of passing = 0.77
Probability of failing = 1-0.77
=> 0.23
involving the use of variables, properties, expressions, and equations
Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:
This is from Khan academy. I'm stuck on it
Answer:
A and B has the same constant of proportionality
Step-by-step explanation:
[tex]y \propto x[/tex]
[tex]y = kx ----1[/tex]
Where k is the constant of proportionality
We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]
On comparing with 1
[tex]k = \frac{1}{2}[/tex]
A)6y = 3x
[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]
So, this equation has the same constant of proportionality
C)
[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]
To find the equation :
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]
So, this equation do not has the same constant of proportionality
D)
[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]
To find the equation :
Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]
[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]
So, this equation do not has the same constant of proportionality
Hence A and B has the same constant of proportionality
Options A and B has the same constant of proportionality.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
For option A,
6y=3x
y=3/6x
y=1/2x
This equation has the same constant of proportionality
For Option B
(2,1) and (4,2)
m=2-1/4-2=1/2
We have equation as y-y₁=m(x-x₁)
y-1=1/2(x-2)
y-1=1/2x-1
y=1/2x
this equation has the same constant of proportionality
For option C
(1,2) and (2,4)
m=4-2/2-1=2
We have equation as y-y₁=m(x-x₁)
y-2=2(x-1)
y-2=2x-2
y=2x
Equation do not has the same constant of proportionality
and option D does not have same constant of proportionality
Hence options A and B has the same constant of proportionality.
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Un edificio proyecta una sombra de 25 metros y del punto más alto de este al punto final de la sombra hay una distancia de 53 m ¿cuál es la altura del edificio?
Answer:sorry no spanish
Step-by-step explanation:
Find x and y. Give reasons to justify your solution. AB is a straight line.
I need this fast. Please
Answer:
x=8 y=21
Step-by-step explanation:
27 + 3y = 90 degrees
divide by 3
9+y=30
y=21 degrees
90+8x+18+x=180
9x+108=180
divide by 9
x+12=20
x=8
Which scenario is modeled by the equation (x) (0.65) = 36 dollars and 48 cents? A pair of boots is on sale for 35 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 65 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 35 percent off. The original price of the boots is x, $56.12 A pair of boots is on sale for 65 percent off. The original price of the boots is x, $56.12.
Answer:
A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12
Step-by-step explanation:
The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.
A pair of boots are on sale for 65 percent off. The original price of the boots in x was $56.12
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is an example of an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
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Which scatterplot correctly represents the table of values below? Number of years collecting stamps Number of stamps in collection 2 100 5 175 4 150 3 125 4 175 3 100 A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).
Answer:
C. A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175)
Step-by-step explanation:
In the x-axis goes the values from the column 'Number of years collecting stamps' of the table. And In the y-axis goes the values from the column 'Number of stamps in collection' of the table.
To make the graph identify each pair of values in the plane and mark it.
Answer:
c
Step-by-step explanation:
its corect on edge
X/-4 -(-8)=12
16
80
-80
-16
Answer:
Brainleist!!!!!
Step-by-step explanation:
x/-4 + 8 = 12
x/-4 = 4
x = -16
Answer:
x = -16
Step-by-step explanation:
x/-4 -(-8)=12
Negative times negative is positive.
x/-4 + 8 = 12
Subtract 8 on both sides.
x/-4 = 12 - 8
x/-4 = 4
Multiply -4 on both sides.
x = 4 × -4
x = -16
The vertex of this parabola is at (2,-1). When the y value is 0, the value is 5.
What is the coefficient of the squared term in the parabola's equation?
(2.-1)
A.-3
B. -4
c. 4
D. 3
Answer:
Option D.
Step-by-step explanation:
The vertex form of a parabola along y-axis is
[tex]y=a(x-h)^2+k[/tex]
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
[tex]y=a(x-2)^2-1[/tex]
The graph passes through (5,0). So,
[tex]0=a(5-2)^2-1[/tex]
[tex]1=9a[/tex]
[tex]\dfrac{1}{9}=a[/tex]
It means coefficient of the squared term is 1/9, which is not the option. So, parabola must be along the x-axis.
The vertex form of a parabola along x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
[tex]x=a(y+1)^2+2[/tex]
The graph passes through (5,0). So,
[tex]5=a(0+1)^2+2[/tex]
[tex]5-2=a[/tex]
[tex]3=a[/tex]
It means coefficient of the squared term is 3.
Therefore, the correct option is D.