we have that
1.5 meters represents 100%
so
Applying proportion
Find out how much percentage represents the difference (1.53-1.50=0.03 m)
100/1.5=x/0.03
solve for x
x=(100/1.5)*0.03
x=2%
therefore
the answer is 2%The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Step-by-step explanation:
As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27
its functions ill give uu crown
The correct graphs of the puzzles/problems are
1 - B
2 - A
3 - E
4 - D
5 - C
The correct code is BAEDC.
Graphical Representation in Mathematics
It helps to study the relationship between two variables where it helps to measure the change in the variable amount with respect to another variable within a given interval of time. It helps to study the series distribution and frequency distribution for a given problem.
The correct graphs of the puzzles/problems are
1 - B
2 - A
3 - E
4 - D
5 - C
Therefore the correct code is BAEDC.
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yall please help me!!! if i dont pass imma need tutoring
Given:
The expression is,
[tex]2x^2+(4x-6x^2)+9-(6x+3)[/tex]Simplify the expression,
[tex]\begin{gathered} 2x^2+(4x-6x^2)+9-(6x+3) \\ =2x^2+4x-6x^2+9-6x-3 \\ =-4x^2-2x+6 \end{gathered}[/tex]Answer: option G
Jenna thinks of a square number less than a hundred.doug thinks of a cube number less than hundred. the difference between their number is 15 .work out which numbers they each thought of
Jenna thought of the number 49, square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.
What square and cube?Squares are the results of multiplying a number by itself. For example, 3 3 = 32 = 9 is the square of 3.
Cubes are the results of multiplying a number by itself three times, i.e. three times. For example, the cube of 3 is 3 3 3 = 33 = 27.
There are some perfect cubes that also happen to be perfect squares. For example, 64 is a perfect square and cube number because 82 equals 64 and 43 equals 64.
Let the the square number be x
and the cube number be y
There are only 4 possible cube numbers between 1 to 100 that is
1, 8, 27 and 64
now we need to check if
x - y = 15
let 64 be x
64 - y = 15
y = 64 - 15
y = 49
Lets see if 49 is square or not
√49 = 7
Thus, y = 49
Therefore, Jenna thought of the number 49 square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.
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A recent survey on movies found that 1 out of 6 students likes comedy films. Graph the relationship between the total number of students and the students who like comedy films for different number of students given in the table below. Total Number of Students 90 180 270 360
A recent survey on movies found that 1 out of 6 students likes comedy films. The probability that individuals will like comedies is equal to one in six.
This is further explained below.
What is probability?Generally, If there are a total of 90 people, then the number of people who like comedic films is equal to 90 divided by 6, which is 15.
If there are a total of 180 people, then the number of people who like comedic films is equal to 180 divided by six, which is 30. If there are 270 people in total, then the number of people who like comedic films is equal to 270 divided by six, which is 45.
If there are a total of 360 individuals, then the number of persons who like comedic films is equal to 360 divided by six, which is 60.
Let the x-axis show the total number of persons, and let the y-axis show: The number of persons who like comedic motion pictures are shown along the y-axis.
In conclusion, The following will be the function: f(x) equals six times the total number of persons, where x is the total headcount.
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A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.
Which expression represents the volume, in cubic units, of the composite figure?
(Four-thirds)π(103) + π(102)(28)
(Four-thirds)π(203) + π(202)(28)
2(Four-thirds)π(103) + π(102)(28)
2(Four-thirds)π(203) + π(202)(28)
The expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .
In the question ,
it is given that
the composite figure has a cylinder and two hemisphere , one at top and other at bottom,
Formula for Volume of Cylinder = πr²h ,where ,
r and h are radius and height of cylinder .
,
volume of Hemisphere = (2/3)πr³
where , r is the radius .
given the diameter of cylinder = 20
hence ,the radius of the cylinder = 10
and height of the cylinder = 28
So , the volume of cylinder = π(10)²(28) ...(i)
since half sphere is stacked on the top and the bottom of the cylinder
the radius of sphere is also = 10
So, the volume of the one Hemisphere = (2/3)π(10)³
the volume of the two Hemisphere = 2*(2/3)π(10)³
= (4/3)π(10)³ ....(ii)
The Volume of the composite figure = volume of cylinder + volume of the two Hemispheres
Substituting the values from (i) and (ii) , we get
Volume of the composite figure = π(10)²(28) + (4/3)π(10)³
Rewriting we get
= (4/3)π(10)³ + π(10)²(28)
in words , it is
= (Four-thirds)π(10)³ + π(10)²(28)
Therefore , the expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .
The given question is incomplete , the complete question is
A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.
Which expression represents the volume, in cubic units, of the composite figure?
(a) (Four-thirds)π(10)³ + π(10)²(28)
(b) (Four-thirds)π(20)³ + π(20)²(28)
(c) 2(Four-thirds)π(10)³ + π(10)²(28)
(d) 2(Four-thirds)π(20)³ + π(20)²(28)
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Answer:
Option A
Step-by-step explanation:
EDGE
Question
34. Several students from Southbend Middle School are visiting the Smithsonian American Art Museum. Mrs. Mabika divided the students into 5 equal groups. There are 3 boys and 4 girls in each group. Fill in the missing numbers to find the total number of students.
Formula
__×(__+4)=__
The missing numbers to find the total number of students are 5 and 3. The equation that represents the total number of students is 5×(3+4)=35.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that Mrs. Mabika divided the students into 5 equal groups. and there are 3 boys and 4 girls in each group.
We have to find the total number of students by filling in the missing number from the given data as,
⇒5×(3+4)=35
We will add the number first in the brackets, the sum of the numbers is 7, and multiply the obtained number by 5 we get 35 as the total number of students.
Thus, the missing numbers to find the total number of students are 5 and 3. The equation that represents the total number of students is 5×(3+4)=35.
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0.06 is 10 times Blank
Answer:
0.006
Step-by-step explanation:
Multiply 0.006 by 10.
0.006 x 10 = 0.06
Answer = 0.006
Hope this helps!
Btw, could I get Brainliest? Thanks!
The midpoint of \overline{\text{AB}}
AB
is M(2, 0)M(2,0). If the coordinates of AA are (7, -2)(7,−2), what are the coordinates of BB?
Coordinates of Point B is (-3 , 1)
To find Coordinates :
M is midpoint of AB
Coordinates of A is (7,-2)
Coordinates of M is (2,0)
Let the coordinates of B are (x,y)
To find coordinates of B :
[tex]\frac{x + 7}{2} = 2[/tex] [tex]\frac{y + (-2)}{2}= 0[/tex]
x + 7 = 4 y+ (-1) = 0
x = - 3 y = 1
coordinates of B is (-3 , 1)
Definition of coordinate :
Coordinates are two numbers or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).To learn more about Coordinates refer :
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On Friday, Javier sold 8 5/6 pitchers of lemonade from his lemonade stand. On Saturday, he sold 2 5/6 times as much lemonade as on Friday. How many pitchers of lemonade did Javier sell on Saturday?
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Friday:
Number of lemonade sold = [tex]8\frac{5}{6}[/tex]
Saturday:
Number of lemonade sold = [tex]2\frac{5}{6}[/tex] times of Friday
The number of lemonade sold on Saturday:
= [tex]2\frac{5}{6}[/tex] x [tex]8\frac{5}{6}[/tex]
= 17/6 x 53/6
= 901/36
= [tex]25\frac{1}{36}[/tex]
Thus,
The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].
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Pls help its for finals!!
Answer:
They all work at $13.5 an hour, so they all are payed $270 for 20 hours of work
Step-by-step explanation:
Answer:
good luck give other guy branilest
Step-by-step explanation:
4(2x - 5) + 15 = 11 what are the steps
Given expression
As given
Its solution will be,
[tex]\begin{gathered} =4\left(2x-5\right)+15 \\ =8x-20+15 \\ =8x-5 \end{gathered}[/tex]For x=2, it will be,
[tex]\begin{gathered} =8\left(2\right)-5 \\ =16-5 \\ =11 \end{gathered}[/tex]This is the answer.
9+8-12=?
A) 5
B) 6
C)7
D)8
Answer:
The answer is A) 5.
Answer:
so 9+8 is 17 and 17 - 12 is 5
What is the image of (2 , 3) after a reflection over the line y = − x y=−x?
The most appropriate choice for reflection will be given by-
New image of (2, 3) after reflection about y = -x is (-3, -2)
What is reflection?
Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.
The line is called the line of reflection.
When point (x, y) is reflected about y = -x, the new coordinate will be (-y, -x)
So,
New image of (2, 3) after reflection about y = -x is (-3, -2)
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CAN SOMEONE PLEASE HELP ME ON THIS
Investment X gives a greater amount of $50.40 over a period of two years
Investment X:
Principal amount invested = $6000
Time in years = 2 years
Rate of interest = 4.5%
Type of interest: Simple
Finding the interest using the formula for simple interest:
Simple interest = P*R*T/100
where P = principal invested
R = rate of interest
T = time in years
Substituting the values we get:
Simple interest = 6000*4.5*2/100
= $540
Investment Y:
Principal amount = $6000
Time in years = 2 years
Rate of interest = 4%
Finding the interest using the formula
Compound interest = P(1+r/100)^n - P
where P = principal amount invested
r = rate of interest
n = number of years
Substituting the values in the formula we get:
Compound interest = 6000(1+4/100)^2-6000
= (6000*1.0816)-6000
=$489.6
So, the difference in amount = 540-489.6 = $50.40
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HELP!!!!!ASAP!!!!! I'M ON A TIMER 30 pts. to whoever is BRANLIEST
Which statement is true for the net and the solid it will form when it is folded?
Answer: Its B Glad to help
Step-by-step explanation:
Select the correct answer. Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0B. 1C. 2D. 4E. infinitely many
Answer: Infinitely many
The answer is infinitely many
This is because if the sides are parallel, the other measurements must be the same. They can be any measurement
A
A ladder is leaning against a vertical wall. The distance from the top of
the ladder to the base of the wall is 10 feet. The length of the ladder is
13 feet. What is the distance from the base of the wall to the bottom
of the ladder? Provide an answer accurate to the nearest tenth.
label required
8.3 x is the distance from the base of the wall to the bottom of the ladder
Explain about the Pythagorean Theorem?Using the sum of the areas of three intersecting squares, the Pythagorean Theorem shows how to get the side lengths of a right triangle. This theorem is an extremely useful technique that forms the basis for more complicated trigonometry concepts like the inverse of the Pythagorean theorem.
To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.
In two dimensions, the Pythagorean Theorem is helpful for navigation. You may calculate the shortest distance using it and two lengths. The two legs of the triangle will be north and west, and the diagonal will be the shortest line separating them. Air navigation can be done using the same ideas.
Therefore,
x =8.3 feet
Detailed explanation:
13² = 10² + x² according to the Pythagorean Theorem.
169 - 100= 69
69 = x²
8.3 = x
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Area of triangle help
Hello,
The formula of triangle is 1/2 x b x h where b is base and h is height. We know from the diagram that base is 25 cm and height is 10 cm.
Substitute in the formula:
[tex]\displaystyle{A=\dfrac{1}{2}\cdot 25\cdot 10}\\\\\displaystyle{A=25 \cdot 5}\\\\\displaystyle{A=125 }[/tex]
Therefore, the area is 125 cm². Please let me know if you have any questions!
please anyone help!!
Answer:
7000 degree per second.
Step-by-step explanation:
To convert degree per millisecond to degree per second, multiply the angle/time value by 1000.
[tex]7 \ degree \ per\ millisecond = 7*1000 \ \dfrac{degrees}{second}[/tex]
= 7000 degrees per second.
What is the y-intercept of =−3−7xy
The y-intercept is (0, -3)
The y-intercept is the point where the line on the graph cuts the y-axis.
To find the y-intercept, we let x equal to zero and solve for y.
y = -3 - 7x (given equation)
Substitute x = 0 in the equation,
y = -3 - 7(0)
y = -3 - 0
y = -3
Thus we can conclude that the y-intercept for the given equation y = -3 - 7x is (0, -3).
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Help #3 I need this by tonight
Answer:
The answer is the third option.
Step-by-step explanation:
IXLl-Additive property of length
The value of x will be 1.
What is Line segment?
A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
Point D is lie on the between C and E.
The value of CD = 4x
The value of DE = 19x - 12
The value of CE = 11
Now,
Since, D is lie is between C and E.
So, We can formulate;
CD + DE = CE
Substitute all the values, we get;
⇒ 4x + (19x - 12) = 11
Solve for x;
⇒ 4x + (19x - 12) = 11
Combine like term;
⇒ 23x - 12 = 11
Add 12 we get;
⇒ 23x = 11 + 12
⇒ 23x = 23
Divide by 23, we get;
⇒ x = 1
Therefore, The value of x will be 1.
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Find the slope of the line that passes through each pair of points. Then, match it with the corresponding m-value. (Remember, m usually represents slope!)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(3, 2) and (5, 8)
(-2, -7) and (-4, -3)
(1, -6) and (-2, -4)
(4, -8) and (-2, 16)
(-5, 10) and (7, 13)
By using the formula for the slope of a line that passes through two points, we will get that the slopes are:
a) 3
b) -2
c) -1.5
d) -4
e) 1/4
How to get the slopes?
For a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by the formula:
a = (y₂ - y₁)/(x₂ - x₁)
So we will use that for each of the given pairs.
a) The first pair is (3, 2) and (5, 8), so the slope is:
a = (8 - 2)/(5 - 3) = 6/2 = 3
b) The pair is: (-2, -7) and (-4, -3), so the slope is:
a = (-3 + 7)/(-4 + 2) = 4/-2 = -2
c) The pair is (1, -6) and (-2, -4) so the slope is:
a = (-4 + 6)/(-2 - 1) = 2/-3 = -3/2 = -1.5
d) The pair is (4, -8) and (-2, 16) so the slope is:
a = (16 + 8)/(-2 - 4) = 24/-6 = -4
e) The pair is (-5, 10) and (7, 13) so the slope is:
a = (13 - 10)/(7 + 5) = 3/12 = 1/4
We found all the slopes for the lines that pass through the given pairs of numbers.
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Given mn, find the value of x.
t
(7x+7)°
(2x+2)°
The values are, x = 287° and x = 82°
How are internal and exterior angles distinguished?
The external angle is the angle formed by any side of an object and a line that runs from another side.
An interior angle is the shape that results from joining the two rays at their terminal. An internal angle is the angle inside a shape. A polygon is a closed shape with sides and vertices.
If this angle is one, the total exterior angle is 360 degrees.
and if the angle is inside, enter 180 degrees.
I'm taking this given angles i.e, (7x+7)° and (2x+2)° as an exterior angle to solve for x.
Now, (7x+7)° + (2x+2)° = 360°
7x + 7 + 2x + 2 = 360°
9x + 9 = 360°
9(x + 1) = 360
x + 1 = 360 / 9
x + 1 = 40
x = 39
We get x = 39, now put these x value to find the angle
(7x+7)° | (2x+2)°
(7 * 39 + 7)° | (2 * 39 + 2)°
280° | 80°
Hence, the values are, x = 287° and x = 82°
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ZA and ZB are vertical angles with mZA= x and mZB= 3x - 60. What is mZA? Enter your answer in the box. O Next
we know that
vertical angles are congruent
that means
msubstitute the given values
x=3x-60
solve for x
3x-x=60
2x=60
x=30
Find the measure of angle A
mtherefore
m
If y represents total earnings in dollars and x represents hours worked, then the equation that corresponds to the earnings of someone who makes $71.50 an hour is __
The linear equation representing the earnings of someone is y=$71.50x.
What is a linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
It is given that x is the number of hours worked, and y is the total amount of money earned.
So, the rate of earning will be the ratio of total earnings to the total number of hours.
So, the rate of earning= y/x dollars per hour
It is given that someone earns $71.50 an hour.
So, the rate of earning= $71.50
Put the value of the earning rate in terms of x and y to obtain a linear equation.
y/x=$71.50
y=$71.50x
So, the linear equation representing the earnings of someone is y=$71.50x.
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2. Round the following numbers to the nearest 10 thousand:
990,201:__________
159,994 :__________
The values of the given numbers when it is rounded up to the nearest 10 thousands are:
990000150000What is rounding up in mathematics?Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.
It should be noted that in rounding the a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .
From the given values, we are given the 990,201 and 159,994 and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000
and 150000.
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Find the length of side x in simplest radical form with a rational denominator.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time 2.25 minutes.
Using the uniform distribution, it is discovered that there is a 0.625 = 62.5% chance that a randomly picked passenger will have to wait longer than 2.25 minutes.
The boundaries of a uniform distribution are a and b.
The likelihood of discovering a value greater than x is:
P(X > x) = (b - x)/(b - a)
In this problem, the time is equally distributed between 0 and 6 minutes, so.
a=0
b=6
P(X > 2.25) is the probability of a time larger than 2.25 minutes, so:
P(X > x) = (6 - 2.25)/(6 - 0) = 0.625
A randomly picked passenger has a 0.625 = 62.5% chance of waiting longer than 2.25 minutes.
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