Answer: 79 pages
Step-by-step explanation:
100% - 21% = 79%
So we know that Jay has 79% of the stamps
79% = 0.79
Take 500 times 0.79 = 395 stamps
Then we take 395 divided by 5 = 79 pages
So, 79 pages are filled with stamps
Complete the following statement. Write your answer as a decimal or whole number % of $70 = $28
Answer:
40%
Step-by-step explanation:
You want to know what percent of $70 is $28.
EquationThe question can be written as an equation, using a variable for the unknown percentage:
x% · $70 = $28
SolutionThe percent sign can be considered to be fully equivalent to "/100". Dividing by dollars on both sides, we can rewrite the equation as ...
x/100 · 70 = 28
Dividing by the coefficient of x gives ...
x = 28/0.70
x = 40
The complete statement is ...
40% of $70 = $28
__
Additional comment
If you're comfortable with writing decimal fractions as percentages, and vice versa, you can do without the %, and simply write ...
x · 70 = 28
x = 28/70 = 0.40 = 40%
This tells you 40% of $70 is $28, which is what you want to know.
Please help me answer this question
Step-by-step explanation:
photo is not clear post again.
the distance between parallel lines 4y=3x-1 and 8y=6x-7
Answer: The distance between the two parallel lines is 11/12.
Step-by-step explanation:
The distance between two parallel lines can be found by calculating the difference between the y-intercepts of the two lines. In this case, the y-intercept of the first line is (-1/4,0), and the y-intercept of the second line is (-7/6,0). The difference between these y-intercepts is (-1/4 - (-7/6)) = 11/12. Therefore, the distance between the two parallel lines is 11/12.
For funsies, find what w equals to.
−4w + 2 = 14
[tex]-4w+ 2 = 14[/tex]
Subtract 2 from both sides:
[tex]-4w+2-2=14-2[/tex]
[tex]-4w=12[/tex]
Divide both sides by -4:
[tex]\dfrac{-4w}{-4} =\dfrac{12}{-4}[/tex]
[tex]= \fbox{w = -3}[/tex]
Answer:
w = -3
Step-by-step explanation:
-4w + 2 = 14
-4w + 2 - 2 = 14 - 2 (Subtract 2 from both sides)
-4w = 12
-4w/-4 = 12/-4 (Divide -4 from both sides)
w = -3
find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder [tex]\frac{x^2}{25} +\frac{y^2}{9}[/tex] is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
[tex]\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)[/tex]
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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Which of the following is an example of the identity property of 1?
O 0+8 = 8
0 (1)=2
O-2+3=1
O 3.11(0) = 0
Answer:
3.11(0) = 0
Step-by-step explanation:
D. 3.11(0) = 0 is an example of the identity property of 1. The identity property of 1 states that any number multiplied by 1 is equal to itself. In this case, 3.11 is multiplied by 0, which is equal to 0.
Two sides of a triangle my 8 Ickes and 10 inches , respectively. Which one these is NOT a possible length for the third Sid elf a triangle please show ur work Bc I have too
A) 12 inches
B) 16 inches
C) 17inched
D)18 inches
18 inches is not a possible length for the third side of a triangle
What is the triangle inequality theorem?
The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.
By triangle inequality theorem:
This theorem states that the sum of any two sides of a triangle must be greater than the third side.
As per the statement:
A triangle has two sides of lengths 8 inches and 10 inches.
Let the third side be x.
The Sum of the two sides is:
8 + 10 = 18
By triangle inequality theorem:
18 > x
or
x < 18
⇒ the length of the third side must be less than 18
From the given options:
Length of third sides 12, 16, and 17 which are less than 18.
the value which could the length of the third side be are: 12, 16, and 17.
Hence, 18 inches is not a possible length for the third side of a triangle
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a wooden cuboid has an open flame base with a square surface with 1.2 m sides and a height of 0.25 m. Find the surface of the cuboid.
Answer:
2.64 square meters.
Step-by-step explanation:
To find the surface area of a cuboid, you need to find the area of each of the six faces and add them together. A wooden cuboid with an open flame base that has a square surface with 1.2 meter sides and a height of 0.25 meters would have a surface area of 1.2 * 1.2 + 4 * (1.2 * 0.25) = 1.44 + 1.2 = 2.64 square meters. This is because the base of the cuboid has an area of 1.2 * 1.2 = 1.44 square meters, and each of the four sides has an area of 1.2 * 0.25 = 0.3 square meters. The total surface area of the cuboid is therefore the sum of these areas: 1.44 + 4 * 0.3 = 2.64 square meters.
The regular price of a desk is $97.98. This week, it is on sale for $94.96 off. What is the sale price of the desk?
Answer:
$3.02
Step-by-step explanation:
You just subtract 97.98-94.96.
Answer:
3.02
Step-by-step explanation:
you subtract 94.96 from 97.98
Point D, E, and F are midpoint of the ide of ΔABC. The perpendicular biector of AB i m, and the perpendicular biector of BC i n. Line m and n interect at T. If TA=5. 9, what i TC?
The value of TC = 5.9
According to the given figure of the triangle ABC, (refer to the attached figure)
The length of perpendicular bisector AC is = m
The length of perpendicular bisector BC is = n
The point at which line m and line n are intersecting = T
Given the value of TA = 5.9
According to the corner theorem.
AC = CF
So, ΔTFA ≅ ΔTFC
⇒ TA = TC = 5.9
Therefore, The value of TC = 5.9
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What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]
Although part of your question is missing, you might be referring to this full question: What are the vertex and range of y = |2x + 6| + 2?
(0, 2); 2 < y < ∞
(0, 2); −∞ ≤ y < ∞
(−3, 2); 2 < y < ∞
(−3, 2); −∞ ≤ y < ∞
The vertex of the function is (–3, 2) and the range of the function is 2 < y < ∞.
The given modulus function:
y = |2x + 6| + 2
Now, we get two equations out of the absolute value function:
y = 2x + 6 + 2
y = 2x + 8
and
y = –2x – 6 + 2
y = –2x – 4
The vertex of the function will be at a point where these two equations are equal. So, we can calculate the vertex as follows:
2x + 8 = –2x – 4
2x + 2x = –4 – 8
4x = –12
x = –3
If x = –3, then y = 2(–3) + 8 = –6 + 8 = 2
Thus, the vertex of the function is (–3, 2).
Now, the values that y can take will range from 2 to infinity as y cannot take values below the vertex.
Thus, the range of the function is 2 < y < ∞.
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Is the line perpendicular?
The situation is based on football. One player starts a couple of yards in the endzone while the other starts at the 8-9 yard line. The player in the endzone almost scores when he is tracked down by the guy on the 8-9 yard line. So does the starting position of these players form a perpendicular line?
Yes, the starting position of these players form a perpendicular line.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Using Trigonometry
sin [tex]\theta[/tex] = 33.33/100
sin [tex]\theta[/tex] = 0.3333
[tex]\theta[/tex] = [tex]sin^{-1}[/tex] (0.3333)
[tex]\theta[/tex] = 19.469
cos 19.469 = B/ 100
0.9428 = B/ 100
B= 94.28
tan [tex]\theta[/tex] = P/B
tan [tex]\theta[/tex] = 94.28/ 33.33
[tex]\theta[/tex] = 70.5
Using Angle Sum property
< 3= 180 - (70.5 + 19.5)
<3 = 180 - 90
<3 = 90
Hence, they form perpendicular line.
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The price of an airline ticket from New Orleans to Boston increased to $550. This is a 30% increase.
To the nearest cent, what is the old fare?
A $397.67
B $423.08
C $412.14
D $501.40
The value of the old fare to the nearest cent will be $423.08. Then the correct option is B.
What is the percentage?Any product's quantity is presented as if it were a percentage of one hundred. The proportion can be written as 1/4 of 100. One hundred percent is symbolized by the symbol %. The sign for it is the letter "%".
The cost of an aircraft ticket from New Orleans to Boston expanded to $550. This is a 30% expansion.
Let 'x' be the old fare. Then the equation is given as,
(1 + 0.30) x = $550
Simplify the equation, then we have
(1 + 0.30) x = $550
1.30 x = $550
x = $550 / 1.30
x = $423.08
The worth of the old admission to the closest penny will be $423.08. Then the right choice is B.
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as we wrap this up for stat 3113, recall that in class, we talked about how the statistics and could be calculated from a sample of data but that the parameters and could not be calculated. why is this?
Parameters are values that describe the entire population, while statistics are values that describe only a sample of the population. Since there is no way to know the exact values of the parameters, they cannot be calculated from a sample of data.
Parameters are values that describe the characteristics of the entire population. They are used to make inferences about the population and provide a basis for making decisions. On the other hand, statistics are values that describe only a sample of the population. They are used to estimate the parameters of the population. Since it is not possible to know the exact values of the parameters, they cannot be calculated from a sample of data. Instead, we use statistics to estimate the parameters. This is why it is important to use a representative sample when collecting data, as it provides a better estimate for the population parameters
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Write in standard notation. 4 x 10^0
Answer:
0.4 x 10^-1
Step-by-step explanation:
4 x 10^0
=> 4
=> 0.4 x 10^-1
33) A farmer needs to construct a bridge over a stream to connect fields for his sheep to graze. He will do most
of the planning on his own. Name some measurements that will need to be made by a professional engineer.
Answer:
There are several measurements that a professional engineer would need to make in order to design and construct a bridge over a stream for a farmer's sheep to graze. These measurements may include:
Width and depth of the stream: The engineer will need to determine the width and depth of the stream in order to determine the size and type of bridge that is needed.
Soil composition and stability: The engineer will need to assess the soil composition and stability of the area surrounding the stream in order to determine the foundation and support structure needed for the bridge.
Water flow: The engineer will need to measure the water flow in the stream in order to determine the load-bearing capacity of the bridge and to ensure that it is able to withstand the forces of the water.
Distance between the two banks: The engineer will need to measure the distance between the two banks of the stream in order to determine the length of the bridge and ensure that it is long enough to span the stream.
Height of the banks: The engineer will need to measure the height of the banks of the stream in order to determine the height of the bridge and ensure that it is tall enough to allow the sheep to pass under it.
A parabola can be drawn given a focus of (6, 2) and a directrix of y = - 8 Write the equation of the parabola in any form.
The equation of the Parabola is (y - 6 )² = 28 (x + 1) of the given focus and directrix.
Given directrix x = -8
we know that x = h - a = -8
h -a = -8 ...(i)
Given Focus = ( 6,2)
we know that the Focus of the Parabola
( h + a , k ) = (6,2)
comparing h + a = 6 ...(ii)
k = 2
solving (i) and (ii) and adding
h - a + h+ a = -8 +6
2 h = -2
h = -1
Put h = 6 in equation (i)
⇒ h - a = -8
⇒ -1 + 8 = a
⇒ a = 7
The equation of the Parabola ( h,k) = (-1 , 7)
( y - k )² = 4 a ( x - h )
(y - 7 )² = 4 (7) (x -(-1))
(y - 6 )² = 28 (x + 1)
Hence, the equation of the Parabola is (y - 6 )² = 28 (x + 1) of the given focus and directrix.
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find the area of the region enclosed by one loop of the curve. r = sin(4θ)
π/16 is the area enclosed by the curve r= sin(4θ)
The given curve is polar curve and hence the area of the polar curve is given by:
Let A be the area of the curve so,
A = [tex]\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta[/tex]
where a and b is the boundary at which r=0
so after equation r=0
sin(4θ) =0
=> sin(4θ) =0
=> 4θ = 0,π
=> θ = 0, π/4
so a=0 , b= π/4
now
A = [tex]\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta[/tex] ------(i)
so [tex]r^2[/tex] = (sin(4θ))^2
=> [tex]sin^2[/tex]( 4θ )
ans we know that
cos(2α) = 1 - [tex]2sin^2[/tex]2 α
so [tex]sin^2[/tex]= (1- cos(8θ) )/2
putting the value of r in the equation (i) we get :-
A = [tex]\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta[/tex]
=> 1/4* [tex]\int\limits^b_a {(1-cos8\theta) } \, d\theta[/tex]
here a=0 and b=π/4
after putting the value and solving the integral
A = π/16
so A is the area enclosed by r=sin(4θ) is π/16
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Can you help me with this
Answer:
X = add 25 Y =add 3 see 3 ,3+3=6 so i think y is 3
Step-by-step explanation:
when some of the variables represent categories, we can apply a useful summarization method called tabulation, where we simply count how many people or items are in each category or combination of categories. true false 1.25 points question 1 of 8 next question last questionunsaved change moving to another question will save this res
The given statement is true for tabulation method representing the variable different categories and summarize it in tabulation method makes the calculation simple.
As given in the question,
Let the variable 'x' , 'y' , and 'z' represent some different categories.To simplify the data represent the category in tabulation form.Each category represent the frequency of its own.Now to do the calculation simply count the number of items present in each category.This makes the calculation simple and easy to handle.Therefore, the given statement of representing the variable different categories and summarize it in tabulation method makes the calculation simple is a true statement.
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Order the fractions below from least to greatest.
The numbers are 5/6, 2/3, and 1/2.
Please write the fractions like this
Least ____
Middle _____
Greatest ______
Answer: Least 1/2
Step-by-step explanation: Middle 2/3
Greatest 5/6
Answer:
Least 1/2
Middle 2/3
Greatest 5/6
Step-by-step explanation:
First,5 divided by 6,is 0.83(in to 1 decimal point)
Then 2 divided by 3 is 0.67(in to 1 decimal point)
Last 1 divided by 2 is 0.5(in to 1 decimal point)
So is 5/6 is greatest and 2/3 is in the middle and the least is 1/2.
solve the equations using elimination -8x+y=-8; 6x-y=6
Answer:
x = 1 y = 0
Step-by-step explanation:
-8x + y = -8
6x - y = 6
y have the same coefficient but one is negative and the other is positive therefore we add both the equations
we get:
-2x = -2
divide both sides by -2
x = 1
now as we have the value of x we can input this into any one of the starting equations
-8x + y =-8
-8(1) +y = -8
-8 + y = -8
add 8 to both sides
y = 0
Answer:
(1, 0 )
Step-by-step explanation:
- 8x + y = - 8 → (1)
6x - y = 6 → (2)
adding (1) and (2) term by term will eliminate y
- 2x + 0 = - 2
- 2x = - 2 ( divide both sides by - 2 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (1)
- 8(1) + y = - 8
- 8 + y = - 8 ( add 8 to both sides )
y = 0
solution is (1, 0 )
16.8 Divided by 0.27
the 6-kg smooth cylinder is supported by the spring having a stiffness of kab = 120 n/m
When a spring of stiffness K = 120N/m supporting a smooth cylinder of mass 6kg is subjected to a force of 60N, the velocity it moves downward when compressed a distance of 0.2m is 1.79m/s.
Therefore, the answer is 1.79m/s.
The compression of spring, say x₀ at equilibrium position can be determined by
F = Kx₀
mg = Kx₀
6 × 9.81 = 120 × x₀
Therefore x₀ = 0.4905m
When force F = 60N is applied the spring is compressed more and let new compression of spring be x₁. Then when string compresses additional s distance
x₁ = x₀ + s
Then spring force, F₁ = Kx₁
F₁ = 120 × (0.4905 + s)
F₁ = 58.86 + 120s
Let the cylinder accelerates downward at a m/s², then
60N + mg = ma + F₁
60 + 6×9.81 = 6a + 58.86 + 120s
a = (10 - 20s) m/s²
dv/dt = 10 - 20s
We know that ds/dt = v, that is 1/dt = v/ds
Therefore, vdv/ds = 10 - 20s
vdv = (10 - 20s)ds
Integrating both sides
v²/2 = 10s - 10s²
v = √(20s - 20s²)
At s = 0.2m,
v = √(20×0.2 - 20×0.2²)
v = 1.79m/s
--The question is incomplete, answering to the question below--
"The 6kg smooth cylinder is supported by the spring having a stiffness of kAB = 120 N/m. Determine the velocity of the cylinder when it moves downward s = .2m from its equilibrium position, which is caused by the application of the force F = 60 N. (The 60 N force is not present in the equilibrium position.)"
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suppose that 90% of the patients with a certain disease can be cured with a certain drug. what is the approximate probability that, of 50 such patients, at least 45 can be cured with the drug?
The approximate probability that at least 45 of 50 patients can be cured with the drug is 0.788.
To find the approximate probability that at least 45 of 50 patients can be cured with the drug, we can use the binomial formula. The binomial formula allows us to calculate the probability of a certain number of success out of a set of trials given a certain probability of success for each trial. In this case, we have a probability of success of 0.9 and 50 trials. Therefore, the probability of at least 45 of the 50 patients being cured with the drug is 0.788. This can be calculated using the binomial formula or a binomial probability calculator.
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Adurey is making a scale drawing of her drawing of her rectangular bedroom. on her drawing a 10-foot wall is 8 inches. Audrey wants to add a 7-foot wall to her scale drawing. Which equation can she use to find how long she should make the wall in her drawing
The length of the wall in her drawing is given as follows:
5.6 inches.
How to obtain the length of the wall in the drawing?A scaling measurement represents the proportion of a total dimension, as it is the ratio between the length of the drawing with the actual length of the object.
On her drawing a 10-foot wall is 8 inches, hence the scale measurement for this problem is given as follows:
8 inches/10 feet = 0.8 inches per feet.
The scale means that each feet of an actual object is represented by a length of 0.8 inches on the drawing.
Audrey wants to add a 7 foot wall to the drawing, meaning that the length of the drawing is given as follows:
7 x 0.8 = 5.6 inches.
(applying the proportion found from the scale measurement).
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two fair dice are rolled. The score is the difference between the two dice.
In a dice, there is a six side
Probability of occurring a score = 1/18
= 1*2/18*2
= 2/36
= preferred outcome/ Total outcome
Only 5 is a number that has occurred twice
The score that has a probability of occurring of 1/18 is 5.
The two dice having different values 30/36 = 5/6 (because the probability of the two dice having equal values is 6/36 = 1/6.)
The probability of the second dice being less than the first dice is the same as the probability of the first dice is less than the second dice: (5/6) / 2 = 5/12.
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3. (a) A survey on the choice of vocation for 40 students revealed that 18 liked catering, 20 liked dressmaking and 15 liked hairdressing. 2 chose catering only, 8 chose dressmaking only and 1 chose hairdressing only, 4 chose all 3 vocation. Illustrate this information on a Venn diagram. b) How many students chose dressmaking and catering only? 9)) Find the number of students who did not choose any of the 3 vocations.
The number of students who like dressmaking and catering only is 7.
The number of students who did not choose any of the 3 vocations is 12.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Total students = 40
The Venn diagram is given below.
The number of students who like dressmaking and catering only.
= 7
Total number of students who like at least one vocation.
= 28
The number of students who did not choose any vocation.
= 40 - 28
= 12
Thus,
7 students like dressmaking and catering only.
12 students did not choose any vocation.
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Arely earned $800.00 this past summer. The graph below shows how she used her money, Arely's Summer Job Earnings How much more money did Arely save than spend on school supplies?
Help! I can’t seem to figure it out.
Find angle VT =
Answer:
18
Step-by-step explanation:
this seems to be an equilateral triangle so all sides are equal
5r+8=9r
-5r. -5r
8=4r
/4 /4
2=r
now fill it in
5(2)+8
10+8
18
hopes this helps