Answer:
Yes diciembre Eqsakdulien
How many possible 10-digit phone numbers are possible (7 digits plus the
area code)? Type your answer into the box.
Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first 3 digits, which correspond to the area code, there are 325 options in total, that is, [tex]n_1n_2n_3 = 325[/tex].For the final 7 digits, each of them has 10 options.Hence:
[tex]T = 325 \times 10^7 = 3,250,000,000[/tex]
3,250,000,000 phone numbers are possible.
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This is a lot of work into this!
The maximum revenue of the craftsman is an illustration of objective function
The craftsman can at most make $500, if he makes 100 bracelets
How to determine the maximum revenue?Represent bracelet with b and necklace with n.
From the question, we have:
b n Total
Unit 10 20 1000
Time 10 40 1600
Cost 5 7.5
So, we have the objective function to be:
Max C = 5b + 7.5n
And the constraints are:
10b + 20n ≤ 1000
10b + 40n ≤ 1600
b ≥ 0
n ≥ 0
From the given graph of the constraints, we have the following feasible points
(b,n) = (0,0) (40,30) (0,50) and (100,0)
Substitute these values in the objective function
C(0,0) = 5(0) + 7.5(0) = 0
C(40,30) = 5(40) + 7.5(30) = 425
C(0,50) = 5(0) + 7.5(50) = 375
C(100,0) = 5(100) + 7.5(0) = 500
The maximum revenue is at the point (100,0)
Hence, the craftsman can at most make $500, if he makes 100 bracelets
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I need help on this question
Answer:
27,375.34
Step-by-step explanation:
I did 3 percent of 28,222 then subtracted it from 28,222
Please Help! There are 5 ss please answer all!!
Answer:
1st: Is the first answer. Circle P.
2nd: the central angle is , Angle BPC
3rd: The minor arc is BC
4th: MAjor arc is BAC
5th: Semicircle is ABC
What is the least common multiple of 8, 25, and 40?
Answer:200
Step-by-step explanation:
Sims has 2 packets of seeds, packet A and packet B. There are 12 seeds in packet A and 7of these are sunflower seeds. There are 15 seeds in packet B and 8 of these are sunflower seeds. Alia is going to take a random seed from packet A and a seed from packet B (a) complete the probability tree diagram.
Answer:
your answer is in the attachment
Step-by-step explanation:
That was the 1st out 15 rounds come and get a prize brainilest
_________________________________________________________
Why do we include 40 if it says less than?
Good question.
We include 40 because it technically counts as representing itself or anything within the range of 20 and 40
Mr. nelson has 20 students in her classroom. She noticed 3/10 of her students have blue eyes and 1/2 of the students have brown eyes. The rest of the student has green eyes. What percent of the student in mr. Nelsons class have green eyes?
20 students. divide by half for borwn eyes. 10 left. subtract 3 because 3/10. That leaves 7. If you do 20 times 5, you get 100. 7 times 5 equals 45.
The answer is 45%
Choose the shape of the cross section formed.
Answer:
The first figure: Its the Triangle
The second figure: Its the rectangle
The third figure: Its the rectangle (for me this one would be a square)
Hope this helps!!
can someone help I don't know
Answer:
B. None of the above
Step-by-step explanation:
For this problem the strategy is to count the squares to find the value of each dimension:
The length has 4 squares → L = 4 unitsThe width has 3 squares → W = 3 unitsThe height has 5 squares → H = 5 unitsVolume = L x W x H
Volume = 4 x 3 x 5
Volume = 60 units cubed
I hope this helps!
WILL GIVE BRAINLIEST
Rewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit.
Answer:
[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]
Step-by-step explanation:
The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
We have given the equation,
2x²+2y²-8x + 10y+2 = 0
Divide by 2,
x²+y²-4x + 5y+1 = 0
Arranging the terms to make a complete square of variable x and y.
x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4
(x-2)²+ (y + 5/2)² = 37/4
This is the form of a circle.
Use this form to determine the center and radius of the circle.
(x−h)²+(y−k)²=r²
Match the values in this circle to those of the standard form.
The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.
r=(√37) / 4, h=2, k= -5/2
The center of the circle is found at (h,k).
Center: (2, -5/2)
Therefore, center: (2, -5/2), radius: (√37) / 4
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Find the surface area of the cylinder
Answer:
Surface area of the cylinder is 377 cm² (approximately)Step-by-step explanation:
Given :-
Radius of the cylinder = 6cmHeight of the cylinder = 4 cmTo find :-
Surface areaSolution :-
We know that,
Surface area of cylinder = 2πr(h + r)Substituting the required values,
➝ Surface area= 2 × 22/7 × 6 (6 + 4)
➝ Surface area = 264/7 (10)
➝ Surface area = 2640/7
➝ Surface area ≈ 377 cm²
Hence,
Surface area of the cylinder is 377 cm² (approximately)After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.
Radius (r) = 6 cm Height (h) = 4 cmAs we know that total surface area of cylinder is calculated by the formula :
T.S.A. = 2πr (h + r)Where,
r is radius h is height Value of π is 22/7★ Putting the values in the formula :
>> T.S.A. = 2πr (h + r)
>> T.S.A. = 2 × (22/7) × 6 (6 + 4)
>> T.S.A. = 2 × (22/7) × 6 (10)
>> T.S.A. = 2 × (22/7) × 6 × 10
>> T.S.A. = 2 × (22/7) × 60
>> T.S.A. = (44 / 7) × 60
>> T.S.A. = 44 × 60 / 7
>> T.S.A. = 2640 / 7
>> T.S.A. = 377
★ Therefore,
Surface area is 377cm²if 1/4 of a journey is 100 km what is the length of the journey
What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)? a. 5x2 − 25x 3 b. -5x2 − 25x 3 c. -5x2 x 3 d. -5x2 − 25x − 3
The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.
What is the simplified form of an expression?The simplified form of an expression is the simplest way of expressing it, which is obtained by applying the required operations of mathematics.
The expression given as,
[tex]2x(x - 6) - 7x^2 - (13x - 3)[/tex]
Open the brackets to solve it further,
[tex]2x(x - 6) - 7x^2 - (13x - 3)\\2x^2-12x-7x^2-13x-3\\2x^2-7x^2-12x-13x-3\\-5x^2-25x-3[/tex]
The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.
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Sally dug a hole 5 feet deep to plant roses. She
dug a second hole 8 feet deep for tulips.
Represent the depths as integers.
Which plant is closer to the surface?
Step-by-step explanation:
here will take the earth's surface as 0.
hence,
the first hole that Sally dug is 5 feet below the surface making its integer -5
the second hole Sally dug was 8 feet below the surface making its integer -8
therefore, the roses are closest to the surface.
Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now
Answer:
11500
Step-by-step explanation:
15÷100 = 0.15
0.15 × 10000 = 1500
10000 + 1500 = 11500
How to change 1.2/6 into a decimal?
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
1.2 is the same as:12 ÷ 10= [tex]\frac{12}{10}[/tex]dividing by 6 is the same as[tex]\frac{1}{6}[/tex]1.2 ÷ 6= [tex]\frac{12}{10}[/tex] × [tex]\frac{1}{6}[/tex]we can times the tops and bottoms together= [tex]\frac{12}{60}[/tex]We can simplify thisFor example, the top and bottom are both even numbers= [tex]\frac{6}{30}[/tex]We can simplify again by dividing by 2= [tex]\frac{3}{15}[/tex]We can simplify again by dividing by 3= [tex]\frac{1}{5}[/tex]Translate this phrase into an algebraic expression:
51 decreased by twice Carlos‘ age
Use the variable ‘C’ to represent Carlos‘s age
51-2C
Solution:First, multiply C times 2:2C (twice Carlos's age)Now, subtract 2c from 51:51-2cHope it helps.
Do comment if you have any query.
23 = y* 5 -2 what is y?
Answer:
5
Step-by-step explanation:
[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]
The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equation to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.
How to derive an expression for the area of an unshaded region of a rectangle
The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.
If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:
A = w · h
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. [tex]\blacksquare[/tex]
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help fast!! (no links please.)
Answer:
C) 3
Step-by-step explanation:
Plug in the values on c and d and solve
((3)^2 + (2)^2) - 2((3)^2 - (2)^2)
Solve inside the parenthesis first
(9+4) - 2(9-4) = (13) - 2(5)
Distribute the 2 and solve
13 - 10 = 3
QUICKK HELPPP!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.
Four students provide the following approximations for startroot 0.89 endroot. anyah states that startroot 0.89 endroot is between 0.44 and 0.45 because 0.44 less-than startfraction 0.89 over 2 endfraction less-than 0.45. matthew states that startroot 0.89 endroot is between 0 and 1 because 0 less-than 0.89 less-than 1. rhoda states that startroot 0.89 endroot is between 0.9 and 1.0 because 0.9 squared less-than 0.89 less-than 1.0 squared. ming states that startroot 0.89 endroot is between 0.93 and 0.95 because (0.93) squared less-than 0.89 less-than (0.95) squared. which solution(s) are correct? anyah's only ming's only anyah’s, matthew’s, and rhoda’s matthew’s, rhoda’s, and ming’s
Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because 0.44<0.89/2<0.45. This statement of anyah is false because the√0.89 = 0.9433.
2. Matthew states that the square root of 0.89 is between 0 and 1 because 0< 0.89<1. the value lies between 0 and 1 So this statement is true.
3. Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0. This statement is true because the square of 0.9 is 0.81 and 1.0 is 1, and 0.89 lies in between them. So the statement is true.
4. Ming states that the square root of 0.89 is between 0.93 and 0.95 because of 0.93^2 <0.89<0.95^2. this statement is also true.
Here Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.
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Answer:
D
Step-by-step explanation:
From their location in the diagram, what are two possible values for n and m?
A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.
m=3.3, n=−14
m=−2, n=−62
m=6, n=−43
m=−38, n=12
Concentric circle simply means the circle that has a common center or axis.
What is a concentric circle?Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.
An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:
(x - h)² + (y - k)² = r².
In conclusion, when two circles have same center, they're called concentric circles.
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find exact value to approximate value to 4 decimal places
In(5x+1)=2
Answer:
Answer is 1/5 which is exactly 0.2
Step-by-step explanation:
5x + 1 = 2
5x = 2 - 1
5x = 1
x = 1/5
x = 0.2
Determine the value of each expression.
3 +3+3+3
3.3.3.3
4(3)
34
Answer:
12,81,12,81
Step-by-step explanation:
3+3+3+3=6+6=12
3*3*3*3=9*9=81
4*3=12
3^4=9*9=81
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle? the triangle is acute because 22 52 > 42. the triangle is acute because 2 4 > 5. the triangle is not acute because 22 42 < 52. the triangle is not acute because 22 < 42 52.
A triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle Thus, the triangle is not acute because 2² + 4² < 5².
What is the acute angle?An acute angle is defined as the measure of an angle that is less than 90 degrees.
The square of the hypotenuse of a right triangle with the given sides would be 2² +4² = 20.
So, that hypotenuse would be √20, about 4.47.
The long side of this triangle is longer than that, hence the angle opposite is larger than 90°. The triangle with sides 2, 4, and 5 is an obtuse triangle.
The triangle is not acute because 2² + 4² < 5²
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Answer:
The answer is C I just did it
Step-by-step explanation:
a. yes, reflection across y=x
b. no
c. yes, rotation 180
d. yes, translation up 3 units
Answer:
A
filler filler filler
find the profit if C.P=620 and S.p=760
Answer: hope I helped look down
Step-by-step explanation:
Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%
If f(x) = 8 – 10x and g(x) = 5x 4, what is the value of (fg)(–2)? –196 –168 22 78
After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.
What is Function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.
f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?
Replace x in each equation with -2:
f(x) = 8 -10(-2) = 8 +20 = 28
g(x) = 5(-2) + 4 = -10 + 4 = -6
Now multiply the two"
28 * -6 = -168
The answer is -168
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