Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, considering that the numbers are arranged, we have that there are:
4! 4-digit numbers involving a six, a two and two ones that result in a product of 12.4! 4-digit numbers involving a four, a three and two ones that result in a product of 12.4! 4-digit numbers involving a three , two twos and a one that result in a product of 12.Hence:
T = 3 x 4! = 3 x 24 = 72.
There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.
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5c+16.5=13.5+10c
solve for c
Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from both sides:
13.5+5c=16.5
5c=3
c = 3/5
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 46° and AB = 9.2.
Calculate the length of AC rounded to 3 SF.
Which trigonometric functions have the same maximum value?
This is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
What are trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
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).
So, the following equations give us the following maximum values:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
Arcsinx and Arccosx are trigonometric functions that have the same maximum value.
Therefore, this is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
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Complete question:
Which trigonometric functions have the same maximum value?
A. y = arcsinx and y = arccosx
B. y = arcsinx and y = arctanx
C. y = arctanx and y = arcsecx
D> y = arccosx and y = arcsecx
Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many university students were there?”
Answer:
8750
Explanation:
There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.
3500=2/5
divide 3500 by 2 to get 1/5 of the math teachers.
3550/2=1750
1750 is 1/5 of the math teachers.
multiply 1750 by 5 to get 5/5 of the math teachers
1750*5= 8750
If one root of the equation x^2 + 5x + k = 0 is -2, what is the value of k?
Answer:
k = 6
Step-by-step explanation:
given x = - 2 is a root then substitute x = 2 into the equation
(- 2)² + 5(- 2) + k = 0
4 - 10 + k = 0
- 6 + k = 0 ( add 6 to both sides )
k = 6
Answer:
k = 6
Step-by-step explanation:
since x = - 2 put x = 2 into the equation
(- 2)² + 5(- 2) + k = 0
4 - 10 + k = 0
-6 + k = 0
+6 +6
k = 6
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation).
A = {(1, 2) (2, 2) (3, 2) (4, 2)}
Answer:
Function
Step-by-step explanation:
Since each x value corresponds to a single y value
Which of the following statements about parallelograms are true?
Select all that apply.
options:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 90°.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
All parallelograms have exactly 4 lines of symmetry.
Answer:
All parallelograms have 4 right angles.
All parallelograms have rotational symmetry of 180°.
A rectangle is a parallelogram.
Step-by-stepStep-by-step explanation:
let me know if im wrong......have a good day!!!! :)
Pls Help Asap. Please, will mark BRAINLIEST
Answer:
[tex]30\ \ \ \ \ 12\ \ \ \ \ 24\ \ \ \ \ 12[/tex]
Step-by-step explanation:
[tex]Because\ Gerry\ makes\ a\ scale\ drawing\ of\ the\ backyard\ using\ a\ scale[/tex]
[tex]of\ 3\ contimeters\ to\ 1\ yard.\ .[/tex]
[tex]10\times3=30\ \left(Cm\right)[/tex]
[tex]4\times3=12(CM)[/tex]
[tex]8\times3=24\left(cm\right)[/tex]
[tex]4\times3=12.(GM)[/tex] [tex]\left[Acconling\ to\ the\ information\ in\ the\ picture\right][/tex]
I hope this helps you:)
A recipe for pasta dough says, “Use 150 grams of flour per large egg.” How much flour is needed if 6 large eggs are used?
Answer:900g
Step-by-step explanation:
150*6=900
Answer:
900 grams of flour
Since you already know that 150 grams of flour is used for one large egg
Just do 150×6 and that will give you the answer of 900.
I hope that helps :)
A two-way frequency table shows grades for students in college and students in high school: high school college total gpa above 3.0 14 26 40 gpa below 3.0 46 14 60 60 40 100 based on this data, are "being in high school" and "gpa above 3.0" independent events? yes, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) yes, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0)
Based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
What is conditional probability?The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A two-way frequency table shows grades for students in college and students in high school.
Let H represent being in high school and G represent the GPA above 3.0. To be an independent event, they must be,
[tex]P(H|G)=P(H)[/tex]
The conditional probability of event H, given that the G is occurred, can be calculated as,
[tex]P(H|G)=\dfrac{14}{40}\\P(H|G)=0.35[/tex]
Total students below 3.0 GPA are 60 and the total number of student are 100. Thus, the probability of being in high school is
[tex]P(H)=\dfrac{60}{100}\\P(H)=0.6[/tex]
Here, conditional probability [tex]P(H|G)[/tex] is not equal to the probability of being in high school.
Hence, based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
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Lucy is going to walk in a fundraising event to raise money for her school band her mother has agreed to donate 7.50$ to the school for each mile Lucy walks plus an additional 25$ write an equation that represents y, the total amount of money Lucys mother will donate if she walks x miles during the event
25=7.50x Lucy walked 3.333 miles
A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?
Answer:
Answer
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
T=$1.50
Step-by-step explanation:
Answer:
T= 0.75
Step-by-step explanation:
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
Z(y+8)-6(y+8) factor out the gcf
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
The radius of a circle is 4 inches. What is the circle's circumference?
Answer:
8π inches or approximately 25.12 inches
Step-by-step explanation:
What's the circumference of a circle?
❖ The circumference of a circle is the distance around a circle.
How do we find the circumference of a circle?
❖ The formula to find the circumference of a circle is 2πr, where r =
radius. We can solve in terms of pi, or approximate pi to 3.14
Solving
[tex]\pi * 4*2[/tex] [tex]\pi *8[/tex] 8π inchesor
[tex]3.14*4*2[/tex] [tex]3.14*8[/tex] 25.12 inchesHave a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
See below.
Step-by-step explanation:
Hi there!
We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches
We want to find the circumference of the circle.
The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)
Since we know the radius, we can substitute that value into the formula
C=2πr, r=4
C=2π*4
C=8π
If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7
Using 3.14 for example,
C=8*3.14=25.12 inches
Using 22/7 meanwhile,
C=8*22/7=25.14 inches (rounded to the nearest hundredth)
So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)
Either way, hope this helps!
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50082740 x 382039849 - 92894330 + 83022098 divided by 380209382- put it into a punnet square table grid with 3823u02938 and find u and find y and find x to equal 2098309823
I tried but I kinda forgot to make your hair shorter. I got a little carried away.
Adrianna has a piece of fabric in the shape of a parallelogram.
What is the area of this parallelogram?
32 in²
64 in²
96 in²
128 in²
96 in² I think
Make the triangles into a rectangle, find the area and add it to the original square
Answer: 96 in²
Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.
1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.
2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.
What is the standard form of y+4=2x-5
Solve for a:
9a-54=36
Answer:
a=10
Step-by-step explanation:
Step 1: Add 54 to both sides.
9a−54+54=36+54
9a=90
Step 2: Divide both sides by 9.
9a\9 =90\9
a=10
Answer:
a=10
Step-by-step explanation:
Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.
If Ill m, solve for x and y.
(7y - 20" (5x - 38)
(3x - 4)
Answer:
Solve for x = 17
Solve for y = 9
The value of x and y from the figure are 17 and 7 respectively
From the given diagram, we are told that I ll m, hence:
5x - 38 = 3x - 4 (alternate interior angle)Get the value of x
5x-3x = -4 + 38
2x = 34
x = 34/2
x = 17
Also from the triangle:
7y - 20 + 5x - 38 = 90
7y + 5x -58 = 90
7y + 5(17) = 90 + 58
7y + 85= 148
7y = 148 - 85
7y = 63
y = 63/7
y = 9
Hence the value of x and y from the figure are 17 and 7 respectively
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A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to navy beans? How many white and navy beans are in the jar?
A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.
How many ounces of fertilizer should the landscaper apply?
Answer:
15 ounces
Step-by-step explanation:
0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:
[tex] \ \frac{1}{100} = \frac{x}{1500} [/tex]
Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.
In the following number, which digit is in the ten thousand places?
7,253,917
A.2
B.5
C.3
D.9
Answer:
B. 5
Step-by-step explanation:
How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!
Explanation:
Refer to the place value chart shown below.
The 5 is in the ten-thousands place value.
There's not much else I can add to that explanation, but feel free to ask any other questions you may have.
3: find the missing side length of the similar shapes.
Answer:
21 ft
Step-by-step explanation:
the amount of times 12 goes into 18 is 1.5
this is also true for 18 to 27
so that means
when you multiply 14 to 1.5
you get what the ? is
14 * 1.5 = 21
is is 21 ft
Can anyone help me with this?
Answer:
brrooo me too i hate bell work
Step-by-step explanation:
good luck tho
Clair grows berries. A flock of birds comes to her field every day and eats berries. Clair plays loud recordings of a different animal each day to scare the birds, but none have helped so far. One day Clair played a recording of loud eagle calls, and the birds never came to her field.
What could be inferred?
A. The flock ate berries from a different fleld.
B. The flock migrated south
C. The flock was scared away by the eagle calls.
D. The flock may have wanted to share the berries with the eagles.
E. The flock Is afraid of all loud animal calls.
If Rindou has 20 apples and Ran has 48 apples,how old is Rindou’s dog ?
Sarah wants to save for a car. She has $4,250 in a savings account earning 1.49%
compounded quarterly. If Sarah has four years until she gets her driver's license,
will she have enough to buy a car? If not, what do you recommend that she do to
reach her goal?
Given the amount Sarh has in her account, she would not have enough money to buy a car. I would advise she increases the amount of money in her account.
What is the future value of the money in her account?The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$4250( 1 + 0.0149/4)^(4 x 4) = $4510.50
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find the distance between the points (9, 8) and (9, 3)
Answer: √
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
9
−
9
)
2
+
(
3
−
8
)
2
Step-by-step explanati i hope you under stand
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, meaning s=4.
2. A Cylindrical hot water tank is closed at both ends. The radius of the tank is 0.5m and the height is 0.75.calculate i. The volume of the Cylinder it. The total surface area of the tank (take π =22 out of 7
Answer:
Volume = 0.59 m³
Surface Area = 3.93 m²
Step-by-step explanation:
Given :-
- Radius = 0.5 cm
- Height = 0.75 cm
To Find :-
- Volume
- Surface Area
Solving :-
Volume = πr²h
= 22/7 x (0.5)² x 0.75
= 22/7 x 1/4 x 3/4
= 66/112
= 33/56 m³
= 0.59 m³
Surface Area = 2πr (r + h)
= 2 x 22/7 x 0.5 (0.5 + 0.75)
= 22/7 x 5/4
= 110/28
= 55/14 m²
= 3.93 m²
Solution :-
Volume = 0.59 m³
Surface Area = 3.93 m²
Answer:
1. Formula for volume of a cylinder;
V = πr^2h
where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height
plug in the actual values;
V = πr^2h
V = 3.14 * 0.5^2 * 0.75
V = 3.14 * 0.25 * 0.75
V = 0.785 x 0.75
V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)
2. Formula for surface area of a cylinder;
SA = 2πr(r + h)
Plug in the actual values:
SA = 2πr(r + h)
SA = 2 x 3.14 x 0.5(0.5 + 0.75)
SA = 2 x 3.14 x 0.5(1.25)
SA = 2 x 3.14 x 0.625
SA = 3.925 meters or 3.93 meters is the surface area.