Answer:
28
Step-by-step explanation:
Steps 1 : for the top numerator 7!4! =
7! = 7×6×5×4×3×2×1
4!=4×3×2×1
step 2 : for the bottom denominator 3!6!
3!= 3×2×1
6!=6×5×4×3×2×1
step 3 : is to cancel out all number that looks like on numerator over denominator
it will leave you with 7 × 4 only on the numerator = 28
because all the number in the denominator will cancel out with some on the numerator .
I hope it helps
The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.
The given expression is
(7!4!)/(3!6!)
We can simplify it using properties of factorials.
First, let's expand each factorial:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
4! = 4 x 3 x 2 x 1
3! = 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Now, we can substitute these factorials into the original expression:
(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)
Next, we can cancel out common factors from the numerator and denominator:
(7 x 4)/(3 x 2 x 1) = 28/6
Simplifying:
28/6 = 14/3
Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.
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If 50% of a number is 70 and 80% of the same number is 112, find 30% of that number.
pls i need fast *NO LINKS*
Answer:
42
Step-by-step explanation:
It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get
x=140.
we check if that number is true by finding 80% of 140.
4/5 * 140 = 112. So that means 140 is the number we want
30% of 140 is 3/10 * 140, which is 420/10, which is 42
Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW)
Answer:
11.4
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]
What can you use to find how many centimeters are in 0.24 meters
Answer:
go0gle, just look it up
Step-by-step explanation:
Which function has a relative minimum at (0, -3)?
Could you assist me with this problem.
I hope this helps you
y=10-8x
2(10-8x)-4x=40
20-16x-4x=40
-20x=20
x=-1
y=10-8(-1)=18
(-1,18)
Answer:
(-1, 18)
Step-by-step explanation:
(2y-4x=40)x2
4y-8x = 80
4y-8x+y+8x=80+10
5y = 90
y = 90/5
y = 18
Substituting y into the first equation:
18 + 8x = 10
8x =-8
x = -1
pls help immediately!!!!
help me .............................................
Answer:
☘️9+5x+16
☘️ 25+5x or 5(5+X)
Please answer this question:
1.)
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1})[/tex]
2.)
[tex] \frac{( {25}^{ - 1} + ( {25}^{ - 2})}{( {625}^{0} + ( {25}^{ - 2} )}[/tex]
hope you can help me. thank you in advance. I'll give the brainliest.
Answer:
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]
second one 13/313
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40
Answer:
A (50)
Step-by-step explanation:
Mean is the total numbers added up divided by the # of numbers.
There are 6 numbers.
51 + 60 + 80 + 32 + 47 + 30 = 300
300/6 = 50
Therefore, the answer is A.
Answer:
A
Step-by-step explanation:
Because to find the mean you add up all the numbers.
51+60+80+32+47+30=300
Then your suppose to divide by the sum.
300/6=50
Does anyone know please
Answer:
the answer would be A 16cm
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each exponential equation to its percent rate of change.
40% growth
80% decay
40% decay
20% growth
20% decay
60% growth
60% decay
80% growth
60(0.8)t = 1.4
arrowRight
1.2(1.4)t = 80
arrowRight
40(0.2)t = 1.6
arrowRight
20(0.6)t = 1.2
arrowRight
80(1.6)t = 20
arrowRight
9514 1404 393
Answer:
20% decay40% growth80% decay40% decay60% growthStep-by-step explanation:
The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.
For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.
__
Here, we'll list the growth factor and the rate of change:
growth factor ⇒ rate of change
0.8 ⇒ 20% decay
1.4 ⇒ 40% growth
0.2 ⇒ 80% decay
0.6 ⇒ 40% decay
1.6 ⇒ 60% growth
Can you please help me :c
Answer:
135 m^3
Step-by-step explanation:
its volume is the area of the base by height;
.
the area of the base is 3 x 5 = 15.
its volume equals 15 x 9 =135 m^3
.
.
HELP ASAP PLEASE PLEASE
Answer:
Try line 2. It lines up with the most points
Helppp!!!! Describe the translation of figure ABCD.› *
Answer:
(x,y) ---→ ( x + 3 , y + 1 )
Step-by-step explanation:
Hello There!
All we have to do is pick one letter and count the units from the preimage to the translated image
To get to A' you have to from A and go up one unit to the right 3 units
So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )
what is the area of a triangle with a height of 2.9 cm and a base of 7 cm
Answer:
area=10.15 cm
Step-by-step explanation:
a=h*b/2
a= 2.9*7/2
a= 10.15
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An ice cream stand uses the expression 2 + 0.5% to determine the cost in dollars) of an ice cream cone
that has scoops of ice cream
How much does an ice cream cone with 5 scoops cost?
Complete question :
An ice cream stand uses the expression 2 + 0.5x2 to determine the cost (in dollars) of an ice cream cone that has x scoops of ice cream. How much does an ice cream cone with 5 scoops cost?
Answer:
$14.5
Step-by-step explanation:
Give the expression for the cost of ice cream cone with x scoops of ice cream :
Cost = 2 + 0.5x²
Cost of ice cream cone with 5 scoops of ice cream.
x = 5
Cost = 2 + 0.5(5²)
Cost = 2 + 0.5(25)
Cost = 2 + 12.5
Cost = 14.5
Hence, the cost of ice cream is $14.5
Combine like terms to simplify the expression:
5y - 8x - 7- y + 12 x + 3
Simplified Expression:
Answer:
4y + 4x - 4
4(y + x - 1)
Step-by-step explanation:
Brainliest plz
Answer:
4x+4y-4
Step-by-step explanation:
Lets simplify step by step:
5y - 8x - 7- y + 12 x + 3 = 5y +-8x +-7 + -y + 12x + 3
Now let’s combine the like terms:
5y +-8x +-7 + -y + 12x + 3
(-8x + 12x) + (5y + -y) + (-7 + 3)
So the answer would be 4x+4y-4
Hope this helps :)
(f)x=3(2)^x for x=-1
Answer:
f(-1) = 3/2
Step-by-step explanation:
y = 3(2)^-1
2^-1 = 1/2^1
1/2^1 = 1/2
3 x 1/2 = 3/2
the 30% discount on a $49 dollhouse
Answer:
34.30
Step-by-step explanation:
$14.70 is 30% of $49 so
The total would be $34.30 after the discount
But the discount is %14.70
Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7
A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)
Answer:
Hello I'm not to sure but I think A and B but I'm not sure
Step-by-step explanation:
32 + 2a= 6a solve for a and show the steps
the measures of the angles of a triangle are shown in the figure below. solve for x
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
X = 8
Step-by-step explanation:
A triangle's degrees always add up to 180, this is a right triangle meaning that one of the degrees is 90, and we see the other one is 54, so we add these together and subtract them from 180 and set that equall to 3x+12.
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches.
Answer:
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
Step-by-step explanation:
pls complete your question
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
The area of triangle is 29.081 inch²
What is area of triangle?Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
Area of triangle ABC = √s(s-a)(s-b)(s-c),
where s = Perimeter/2 = (a + b + c)/2
Given:
<B= 56, a= 10 inch, b= 6 inch
Now,
b²= 10² +7² -2* 7* 10* cos 56
b² = 100+ 49 -78.187
b²= 70.712
b= 8.41 inch
Now, semi- perimeter= (10+ 8.41+ 7)/2
= 12.705
Using heron's formula
=√s(s-a)(s-b)(s-c)
=√12.705(12.705-10)(12.705-8.41)(12.705-7)
=√842.094
=29.018 inch²
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Andrew spends his off days volunteering at a dog kennel. There are 24 dogs at the
kennel. He knows that 5/8 of the dogs are male. How many male dogs are at the kennel?
Answer:
16
Step-by-step explanation:
Number of male dog in Kennel are 15 dogs
Given that;
Total number of dogs = 24 dogs
Ratio of male dog = 5/8
Find:
Number of male dog in Kennel
Computation:
According to the question;
Number of male dog in Kennel = Total number of dogs × Ratio of male dog
Number of male dog in Kennel = 24 × [5/8]
Number of male dog in Kennel = 3 × 5
Number of male dog in Kennel = 15 dogs
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Please help with this question
Answer:
x=2
y=3
z=0
not 100% sure on those answers
NEED HELP MY GRADE DEPENDS ON ITT!!!!!!!! I will mark brainliest answer.
find the value of f and g in the figure below.
Answer:
DONT PRESS THAT LINK
Step-by-step explanation:
which number will make the two fractions equivalent? 70/84=5/?
Answer:
6
Step-by-step explanation:
70/84 = 5/N
70N = 420
N = 420/70 = 6
John has been working for the Acme Toy Co. for 18 years and makes $82,000. If he has been getting a
raise of $2,500 per year (and continues to do so), write an equation that gives John's pay for any number
of years that he has been working for Acme Toy Co.
Answer: [tex]37000+2500n[/tex]
Step-by-step explanation:
Given
John makes $82,000 per year after 18 years
If he would have to get a raise of $2500 per year
Suppose he starts with a salary of [tex]x[/tex]
after the first year, his salary would be
[tex]\Rightarrow x+2500[/tex]
After 2 years, the salary would be
[tex]\Rightarrow x+2500+2500=x+2\times 2500[/tex]
Similarly, after n years salary is
[tex]\Rightarrow x+2500n[/tex]
For 18 years, it is
[tex]\Rightarrow x+2500\times 18=82,000\\\Rightarrow c=82,000-45,000=\$\ 37,000[/tex]
So, after n years of working salary is [tex]37,000+2500n[/tex]
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.
Answer:
Search for space diags
Step-by-step explanation:
you will find answer
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 480000 CM ^3
Explanation:
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the equation of the line that is perpendicular to y=1/3x+10 and passes through (3,-4)
Answer:
Step-by-step explanation:
1. perpendicular slope will be the negative of the reciprocal
2. so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3
3. So use the values given for x and y (3,-4)
4. substitute in the given equation using the -3 for the slope instead of 1/3
5. To find a new b we substitute for x and y
5. y = 1/3x + 10
6. -4 = -3 (3) + b
7. -4= -9+ b
8. b = 5
Equation of the line will be y = -3x + 5