Answer:
(A) [tex]1157,625$ cm^3[/tex]
Step-by-step explanation:
s = 10,5 cm.
Volume do cubo = [tex]s^3[/tex]
[tex]=10,5^3\\=1157,625$ cm^3[/tex]
O volume do cubo é [tex]1157,625$ cm^3[/tex]
what is the volume of the cylinder below?
Answer:
A
Step-by-step explanation:
vol of a cylinder = pie* r^2×h
r= 5
h= 9
......vol= 9×5^2 pie= 225pie units ^3
Through any 2 points there is exaclty_____line.
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
Answer:
ONE
Step-by-step explanation:
Through any 2 points there is exaclty ONE line.
A shop advertises 25% off its prices in a sale a dress is 90% how much was it before the price reduction
Answer:
120
Step-by-step explanation:
90→75%
X→100%
⇒X=(90×100)÷75=120
Before the price reduction, the cost was 120 dollar.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that shop advertises 25% off its prices in a sale a dress is 90% .
Here 90 percent is equivalent to 75%
Let X = 100%
So,X=(90×100)÷75
x =120
The price was 120 dollar.
Learn more about multiplications;
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find a18 of the arithmetic sequence 2, -5, -12, -19
Answer:
The 18th term of the sequence is -117.
Step-by-step explanation:
The given sequence is 2,-5,-12,-19
From this AP,
First term, a = 2
Common difference, d = -5-2 = -7
It is required to find the 18th term of the sequence. The nth term of an AP is given by :
[tex]a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117[/tex]
So, the 18th term of the sequence is -117.
Mrs. Brown has 11 more boys than girls in her class and has a total of 28 students. Which of the following systems of equations could be used to solve this problem?
Answer:
g=number of girls in the class b=number of boy in the class
g+b=28
g=11+b
Which situation is best modeled by the inequality g ≤ 13? A. You cannot play a game at age 13. B. You must be at least 13 to play a game. C. You must be no older than 13 to play a game. D. You must be younger than 13 to play a game.
Answer:
C)you must be no older than 13 to play the game.
Step-by-step explanation:
≤this means equal to or less than which in this case is 13
The situation represented by the inequality g ≤ 13 will be option C. You must be no older than 13 to play the game.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the inequality is g ≤ 13.
The inequality can be represented by the situation you must be no older than 13 to play a game.
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HELP PLZ It is your turn to wash the dishes. When you are finished, you begin to drain the water from the sink. The water's draining can be defined by the function V = -.75t + 10 where V is the volume of water in gallons and t is the time in minutes. What is the rate of change and would you interpret that?
Answer:
The rate of change is -0.75
Step-by-step explanation:
For each unit of t the volume of water is decreasing by 0.75.
At t=13.333 the volume of water is 0. at t=0 the volume of water is 10
Hope this helps
a line segment may have more than one midpoint true or false
Answer: false
Step-by-step explanation: A line segment may not have more than one midpoint.
What is π/6? I don’t know. No calculators!
Answer:
You could approximate pi to be 3.14, and divide that by 6.
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
If π/6 is an angle in radians
So, Converting it into degrees will make :
=> π/6 * 180 => 30 degrees
24. A quantity represented by 3x - 4 is
subtracted from the quantity 5x – 7. What is
the result?
A 2x - 3
© 2x – 11
B 2x + 3
D 2x + 11
Answer:
The answer is option A. 2x - 3
The expression 3x - 4 is subtracted from
5x - 7 is written as
5x - 7 - (3x - 4)
= 5x - 7 - 3x + 4
= 2x - 7 + 4
= 2x - 3
Hope this helps
4. Two ropes are attached to a heavy object. The ropes are given two strong physics
students (is there any other kind?) with instruction for each to pull with 1000 N of force.
Determine the resultant force is the two students pull:
a. In the same direction east
b. In opposite directions
c. At right angles, south and east
Answer:
A.) 2000N
B.) 0
C.) 1414.2 N
Step-by-step explanation:
Given that the force on the rope = 1000N
A.) If the two students pull in the same direction, the resultant force will be addition of the two forces. That is
1000 + 1000 = 2000 N
B.) If the two students pull in the opposite direction, the resultant force will be sum of the two forces equal to zero. That is,
F1 + F2 = 0
F1 = positive 1000N
F2 = negative 1000N
Therefore, 1000 - 1000 = 0
The resultant force of the two forces is zero.
C.) If the two forces are at right angles, south and east to each other, the resultant force R will be achieved by using pythagorean theorem.
R = sqrt( 1000^2 + 1000^2 )
R = sqrt( 2000000 )
R = 1414.2 N
The resultant force of the two forces will be 1414.2N
Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.
Answer:
[tex]y = -2x - 8\\OR\\2x+y+8=0[/tex]
Step-by-step explanation:
Given that there are 2 points
[tex]A(-8,8)[/tex] and
[tex]B(1,-10)[/tex]
So, the coordinates are:
[tex]x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8[/tex]
Equation of a line is given as:
[tex]y =mx+c[/tex]
where 'm' is the slope of the line, formula for 'm' is given as:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x,y)[/tex] are the points that satisfy the equation of the line.
[tex]c[/tex] is the [tex]y -[/tex] intercept.
Calculating the value of m using the given coordinates:
[tex]m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2[/tex]
So, the equation of line becomes:
[tex]y =-2x+c[/tex]
Now, putting the coordinates of point [tex]A(-8,8)[/tex]
[tex]8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8[/tex]
Please refer to the graph of given equation of line.
The equation of line is:
[tex]y =-2x+-8\\OR\\2x+y+8=0[/tex]
y=(x+9)÷(x-3)
Find the value of y when x=5
solution,
X=5
[tex]y = \frac{x + 9}{x - 3} \\ = \frac{5 + 9}{5 - 3} \\ = \frac{14}{2} \\ = 7[/tex]
hope this helps...
Good luck on your assignment..
Answer:
When x=5
Y=(5+9)÷(5-3)
= 14 ÷2
= 7
Which of the following can be represented by the inequality below? 69h + 126 > 540 A. Yvonne is driving more than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. B. Yvonne is driving less than 540 miles on a trip. She has already driven 126 miles and drives 69 miles each hour. C. Yvonne is driving less than 126 miles on a trip. She has already driven 69 miles and drives 540 miles each hour. D. Yvonne is driving more than 540 miles on a trip. She has already driven 69 miles and drives 126 miles each hour.
Answer:
The answer is A.
Step-by-step explanation:
The inequality states that the amount that Yvonne drives is more than 540 miles. Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour. Finally, 126 shows the amount of miles that Yvonne has already driven.
sector of a circle is given with radius 7cm and angle subtended by the sector of a circle is 500
,
Calculate,
(i) area of sector,
Answer:
The area of the sector is 21.39 cm^2
Step-by-step explanation:
Mathematically, to calculate the area of a sector, the formula to use is;
A = Theta/360 * pi * r^2
where Theta is the angle subtended at the center of the circle = 50 degrees
r is the radius of the circle = 7cm
pi = 22/7
Substituting these values into the area of sector equation, we have;
A = 50/360 * 22/7 * 7 * 7 = (5 * 22*7 )/36 = 21.39 cm^2
I need help please help
Answer:
21u-16v+18w
Step-by-step explanation:
(7u-4v+4w) 14u-12v+14w
21u-16v+18w
Answer:
= 21u−16v+18w
Step-by-step explanation:
Let's simplify step-by-step.
7u−4v+4w−2(−7u+6v−7w)
Distribute:
=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)
=7u+−4v+4w+14u+−12v+14w
Combine Like Terms:
=7u+−4v+4w+14u+−12v+14w
=(7u+14u)+(−4v+−12v)+(4w+14w)
=21u+−16v+18w
Answer:
=21u−16v+18w
(Plz hurry) Given that cosθ=817 and sinθ=−1517 . What is the value of tanθ? 815 −815 158 −158
Answer:
D. -15/8Step-by-step explanation:
Given the following;
cosθ=8/17 and sinθ=−15/17
In trigonometry identity, tanθ = sinθ/cosθ
Substituting the given values in the equation;
tan θ = (−15/17)/(8/17)
tanθ = −15 /17 * 17/8
tanθ = -15/8
Answer:
D. -15/8
Step-by-step Explanation
Which expression is equivalent to.......
See pictures
Answer:
[tex] \sqrt{ {2}^{5} } [/tex]
Step-by-step explanation:
[tex]\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } [/tex]
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3.2% and the other bank is offering a rate of 3% compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal? 1. a simple interest rate of 3.2% 2. a compound interest rate of 3%
Answer: a simple interest rate of 3.2% will be the better deal.
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r/n) nt
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Nominal Interest Rate (decimal form, 3/100= 0.03)
n= number of compounding periods in each year (1)
Replacing with the values given
A = 7000 (1+0.03/1)^(1x5)
A = 7000( 1.03)^5 = $8,114.92
For simple interest:
I = p x r x t
Where:
I = interest
Replacing with the values given:
I = 7000 x (3.2/100) x 5 = $1,120
Adding the principal amount: 7000+1120 = $8,120
Since 8,120 (simple) >8,114.92(compound)
a simple interest rate of 3.2% will be the better deal.
What is the range? Explain
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
Write the point-slope form of an equation of the line through the points (-7, 7) and (4,1).
Answer:
The point-slope form of an equation of the line through the points (-7, 7) and (4,1):
(y - 7) = m(x + 7)
or
(y - 1) = m(x - 4)
with
m = (1 - 7)/(4+7) = -6/11
Answer:
y=-6/11 x +35/11
Step-by-step explanation:
(-7, 7) and (4,1)
m=y2-y1/x2-x1
m=1-7/4-(-7)
m=-6/11
y=mx+b take one point(4,1) to find b
1=-6/11(4)+b
1=-24/11 +b
b=1+24/11
b=(11+24)/11
b=35/11
y=-6/11 x +35/11
Which of the following is the equation of a line that passes through the point
(3.2) and is parallel to the yaxis?
Answer:
y=2 is the correct ans.
here, tge equn of st line passing through the point (3,2) and is also parallel to y axis.
we have, equn of st line parallel to y xaus is y= b
so , the equn of st line passing through the point (3,2) is y= 2 (where 2 is likely to b).
Please answer this in two minutes
Answer:
TUV=52
Step-by-step explanation:
2z+65+59+26z=180
28z+124=180
28z=56
z=2
26*2=52
Answer:
TV
Step-by-step explanation:
The sum of the angles of a triangle are 180
z+59 + z+65 + 26z = 180
Combine like terms
28z + 124 = 180
Subtract 124
28z = 180-125
28z =56
Divide by 28
28z/28 = 56/28
z=2
The smallest side is opposite the smallest angle
26*2 = 52
<u is the smallest angle so TV is the smallest side
Can you help me cause I’ve been struggling
Answer:
-8
Step-by-step explanation:
Hope it helps you.
Can you mark my answer as a Brainliest Please
the price of a CD was decreased by 2% to £14. what was the price before the decrease?
Answer:
£14.29
Step-by-step explanation:
0.98x=14
x=14.29
Answer:
14.28
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
Option (A)
Step-by-step explanation:
Parent function (in red) graph is represented by,
f(x) = x²
If this function is translated by 'a' units to the right, rule to be followed,
f(x) → f(x - a)
If the parent function is shifted by 4 units to the right (blue graph), the new function will be,
g(x) = f(x - 4)
g(x) = (x - 4)²
Therefore, Option (A) will be the correct option.
Find the missing side length
The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took varying amounts of time and spending 933493 \dfrac{3}{4}934393, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+9334=19035x+93\dfrac{3}{4}=19035x+9343=19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?
Answer:
The equation above represents the total time the play director spent preparing for a play.
Step-by-step explanation:
The time spent by the play director for preparing for a play is, 190 hours.
Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.
Let the varying amounts of time be denoted by, x.
The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.
The equation provided is:
[tex]35x+\frac{3}{4}=190[/tex]
The equation above represents the total time the play director spent preparing for a play.
find the quadratic polynomial if zeros of it are 2 and 1/3 respectively
Answer:
[tex]\boxed{\sf \ \ \ 3x^2-7x+2 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
There are a lot of polynomials which have 2 and 1/3 as zeroes,
I can show you one below
[tex]3(x-2)(x-\dfrac{1}{3})=(x-2)(3x-1)=3x^2-x-6x+2=3x^2-7x+2[/tex]
hope this helps
PLEASE HELP!!!
For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard
deviation?
==================================================
Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the [tex](x-\overline{x})^2[/tex] terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so [tex]\sum(x-\overline{x})^2 = 34[/tex]
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
[tex]s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\[/tex]
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.