Answer:
1, It has a definite volume but no definite shape.
Step-by-step explanation:
Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.
S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answer: your answer would be 2
Step-by-step explanation:
Solve for x
-7x - 8 = 10x +4
Answer: put 14
Step-by-step explanation:
Solve for the missing side length for the triangle below
a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel
The train will take 16 seconds to pass completely through a 300 meter tunnel.
Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:
[tex]t = \frac{L+l}{v}[/tex] (1)
Where [tex]v[/tex] is the train velocity, in meters per second.
If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:
[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]
[tex]t = 16\,s[/tex]
The train will take 16 seconds to pass completely through a 300 meter tunnel.
To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060
3. Solve each equality or inequality:
a. |8x-6|= 0
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Find possibilities.
We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.Step 2: Solve possibility 1.
[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]Therefore, x = 3/4.
Plz help. I need this by tomorrow or I’ll get detention.
[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]
Please solve for x.................
Answer:
x=1
Step-by-step explanation:
3(x + 4) = 5(x + 2)
3x+12=5x+10
2x=2
x=1
Answer:
X=1
Step-by-step explanation:
3/x+2 = 5/x+4
3/(1+2) = 5/(1+4)
3/3 = 5/5
3/3=1
5/5=1
8 less than the sum of u and 2
Answer:
(u+2)-8
Step-by-step explanation:
sum is addition, less than is subtraction
Find the circumference of a circle with a radius of 11.15 cm
Answer:
390.377
Step-by-step explanation:
pi*r^2
Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Answer:
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.
hope helpful~
~Be Brainly!~ExhaustedZombieA sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)
Answer:
1.17m²
Step-by-step explanation:
Total area of cardboard=
[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]
Area of circular piece=
[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]
Area of rectangular piece=
[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]
Area of 2 triangular pieces=
[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]
Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces
[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]
Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.
Answer:
Its answer is 32.33
Step-by-step explanation:
35 is more than the product of 5 and the difference of a number and 1.
which net represents this rectangular prism?
Answer:
Top left
Step-by-step explanation:
how many days would it take to eat an water buffalo
The expression below represents the perimeter of a square in centimeters.
4(6+2.5)
What is the square's perimeter?
Answer:
34
Step-by-step explanation:
4(8.5) = 34
Write an equation for the perimeter of the rectangle
Answer:
Area = 2(5x - 4) + 2(5x)
Step-by-step explanation:
Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
Learn more about distance, time and speed here:
https://brainly.com/question/12199398
According to building codes, a wheelchair ramp should have a slope of 1/10 or less.
a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.
Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.
The slope of a ramp is given by it's height divided by it's length, that is:
[tex]m = \frac{h}{l}[/tex]
In this problem:
The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].Then, the slope is given by:
[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]
The slope is of 0.09375 < 0.1, hence, it meets the requirements.
A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??
The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6
1. What translation is made from f(x) → -f(x)?
Answer: this is a reflection across the x-axis
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
Please help :)
I think I know it but can someone help me double check
Answer:
-6.89, -5.6, 0, 2.06, 7.95
Step-by-step explanation:
Hope this helps!
-6.89.-5.6,0,2.06,7.95
Negatives are always lesser values than positives.
explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
//also don't send scam links
The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2 miles is greater than 17.6 miles"
In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.
So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"
Learn more about inequality at:
https://brainly.com/question/11713066
Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
Can you help me answer this question?
Increase £184 by 3%
Answer:
189.52
Step-by-step explanation:
184 x 0.03
5.52
184 + 5.52
189.52
Answer:
184*1.03 = £189.52
Step-by-step explanation:
How many solutions?
No solution
One Solution
Infinitely Many Solutions
Answer:
no solution
Step-by-step explanation:
solution would occur where the lines intersect; parallel lines will never intersect
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k.
Answer:
[tex]x=k\pi[/tex] for any integer [tex]k[/tex]
Step-by-step explanation:
To solve the problem we must know about the sine function.
In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Given in the question :
[tex]y= sin(\pi)[/tex]What is the Value of Sine(kπ)?Among all the options given,
[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.
therefore, the value of [tex]sin(k\pi)[/tex] will always remains 0.
Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Learn more about Sine function:
https://brainly.com/question/2141050
A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is
$1.80
$10.00
$18.00
$170.00
Answer:
The discount is 18 dollars
Step-by-step explanation: