Answers
Answer:
Step-by-step explanation:
Use PEMDAS rules
In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.
3[ (15 - 3)² ÷ 4] = 3[(12)² ÷ 4] {Now find the square of 12}
= 3[144 ÷ 4] {Now do division}
=3 * 36 {Finally multiplication}
= 108
Related Questions
what is 4n- 3n someone plase help :(
Answers
Answer:
n
Step-by-step explanation:
4n-3n=1n
1n=n
Consider the difference of cubes identity: a3 − b3 = (a − b)(a2 + ab + b2). For the polynomial x3 − 64, a = and b =
Answers
Answer:
a= x, b= 4
Step-by-step explanation:
a³ − b³ = (a − b)(a² + ab + b²)x³ - 64Comparing polynomials:
a³= x³ ⇒ a = xb³= 64 ⇒ b³ = 4³ ⇒ b= 4Applying same formula:
x³ - 64 = (x- 4)(x² + 4x + 16)Which of the following illustrates the truth value of the given conditional statement?
If dogs have five legs, then cats have three tails.
A.) F F → T
B.) T T → T
C.) T F → F
D.) F T → T
Answers
Correct Answer: A) F F → T
I did the assignment and got it right, trust me.
What is the next step when solving the following equation?
8x + 8-6 = 60 - 24x - 20
8x + 2 = 40 - 24x
8x + 24x + 2 = 40 - 24x + 24x
32x + 2 = 40
Answers
Answer:
8x + 2 = 40 - 24x
Step-by-step explanation:
8x + 8-6 = 60 - 24x - 20
Next step is simplification and is:
8x + 2 = 40 - 24xThe following steps:
8x + 24 x + 2 = 4032x + 2= 4032x = 40 - 232x = 38x = 38/32x = 19/16Suppose a population consists of 50,000 people. Which of the following
numbers of members of the population being surveyed could result in a
sample statistic but not a parameter?
A. 500
B. Both 500 and 50,000
C. Neither 500 nor 50,000
D. 50,000
SUB
Answers
Answer:
500
Step-by-step explanation:
Parameter= whole population
Sample statistic= outcome of part of population surveyed
PLEASE HELP!!!! Rearrange the equation so n is the independent variable. m + 1 = -2(n+6)
Answers
Answer:
m+13/-2 = n (m plus 13, divided by negative 2 equals n)
Step-by-step explanation:
m+1 = -2(n+6)
distribute -2
m+1 = -2n-12
add 12 to both sides
m+1 = -2n-12
+12 +12
with that you get
m+13 = -2n
next you divide -2 from both sides
m+13
-------- = n
-2
Steve took his remote controlled submarine to the pond. His submarine sank 19 out of 25 boats. What percentage of the boats were still afloat?
Answers
Answer:
24%
Step-by-step explanation:
1) 25-19=6
2) 6/25 x 100 = 24%
Explanation:
25/25 = 100%
19/25 x 100% = 76%
(25 - 19)/25 = 100% - 76%
6/25 = 24%
I’ll give you 30 points if you help
Answers
Answer:
2, -2
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x - 3
To find g(f(x)), you need to put f(x) into g(x).
g(f(x)) = (2x + 1) - 3
g(f(x)) = 2x + 1 - 3
g(f(x)) = 2x - 2
Your answer will be 2 and -2.
Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and tail) in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?
Answers
Answer:
54kg
Step-by-step explanation:
Body weight = B
Tail weight = T
Head weight = H
Total weight = F
Use equation = B + T + H = F
We are told that T = 9kg, H = T + (1/3) x B, B = H + T
We have 3 equations and 3 unknowns, solve the system of equations to find W.
B = H + 9
H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12 --> H = 18
B = 18 + 9 = 27
F = 18 + 27 + 9 = 54kg
Solve the following by opening the parenthesis and then applying MDAS. 52−{32+[9−(4−3)]}
Answers
Answer:
40
Step-by-step explanation:
4-3=1
9-1=8
32+8=40
52-40=12
12 is your final answer
how do you solve
2/5x+10=0
Answers
Answer:
x = -25
Step-by-step explanation:
Step 1: Write out equation
2/5x + 10 = 0
Step 2: Subtract 10 on both sides
2/5x + 10 - 10 = 0 - 10
2/5x = -10
Step 3: Multiply both sides by 5/2
5/2(2/5x) = -10(5/2)
x = -50/2
x = -25
Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data. Y=?
Answers
Answer:
y = 8x - 6
Step-by-step explanation:
find the common difference (+ or -) / ratio (x or ÷)
34 - 26 = 8
42 - 34 = 8
50 - 42 = 8
58 - 50 = 8
the common difference is 8
y = 8x + b
plug in an (x, y) value to find b
(7, 500
50 = 8(7) + b
50 = 56 + b
b = -6
y = 8x - 6
can someone please help me.
-280=-7(6a-8)
Answers
Answer:
a=8
Step-by-step explanation:
-280=-7(6a-8)
Distribute
-280=-7*6a-7+-8
-280=-42a+56
Subtract 56 from both sides
-336=-42a
Divide both sides by -42.
a=8
Find the volume and total surface area of the composite figure below.
Answers
Answer:
Volume = 6467.492mm³
Surface area = 1332.035mm²
Step-by-step explanation:
volume of a cone is [tex]\pi[/tex]r²h. V=[tex]\pi[/tex]10²(24)=7539.822mm³
volume of a sphere is 4/3[tex]\pi[/tex]r³. V=4/3[tex]\pi[/tex](8³)=2144.66mm³
Since it's a half of a sphere, it would be 1072mm.33³
7539.822-1072.33=6467.492mm³
Surface area of a cone is [tex]\pi[/tex]r(r+√h²+r²)=1130.97
area of a circle= [tex]\pi[/tex]r²=201.06
surface area of a sphere is 4[tex]\pi[/tex]r²=804.25
Since it's a half sphere, it would be 402.125
1130.97-201.06+402.125=1332.035mm²
A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that L=3D+200 gives L as a function of D. The crew can work for at most 90 days. Identify the correct description of the values in both the domain and range of the function. Then, for each, find the most appropriate set of values. PLEASE PLEASE PLEASE HELP!!! I WILL GIVE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the crew has worked. Suppose that =L+4D200 gives L as a function of D . The crew can work for at most 70 days. =L+4D200 is not clear, not an equation.on:
Enter the equation of the circle in standard form with center and radius given.\\\\\\\\\\\Center (8,0), radius = sqrt 3///////////
Answers
Answer:
(x - 8)^2 + y^2 = 3.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Here h = 8, k = 0 and r^2 = (√3)^2 = 3
The answer is (x - 8)^2 + (y - 0)^2 = 3
or (x - 8)^2 + y^2 = 3.
How would you solve this?
Answers
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
Answer:
The area of the black square is equal to the sum of the areas of the gray squares.
A triangle has side lengths of (8.1t-6.1)(8.1t−6.1) centimeters, (8.1t+7.1)(8.1t+7.1) centimeters, and (3.4u+1.9)(3.4u+1.9) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
(16.2t+3.4u+2.9)cm
Step-by-step explanation:
A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm
Given x=-3, y=6, and z=-4 xz/-2y
Answers
Answer:
-1
Step-by-step explanation:
sub in the values of x, y and z into the equation
you get:
(-3)(-4)/(-2)(6)
= 12/-12
= -1
Answer: -1
Step-by-step explanation:
xz/-2y, given x=-3, y=6, and z=-4
------------
xz/-2y
=(-3)(-4)/-2(6) ⇔ substitute x y and z value
=12/-12 ⇔ calculate it
=-1 ⇔ simplify fraction
Hope this helps!! :)
Please let me know if you have any question
Jana ran every day for 8 days.
•She ran a total of 50 miles
•She ran the same number of miles each day.
A. 4/25
B. 25/4
C. 8/25
D. 25/8
Answers
Answer:
B. 25/4
Step-by-step explanation:
to calculate how many miles Jana ran everyday, divide the total distance by number of days
50/8
simplify, 25/4
the answer is B
Complete the statements about the associative property and equivalent expressions.
The associative property allows us to change the grouping of the factors that are multiplied together to create ________
1. equibalent expression
2. operations
3. parentheses
4. variables
When changing the grouping, the order of the factors stays the same; only the change position.
The expression______ is an equivalent expression to w(xy)z.
1. w+x+y+z
2. w+xy+z
3. (wx)yz
4. wx + yz
The expression ________ is also an equivalent expression to w(xy)z.
1. 2wx(2yz)
2. wx(yz)
3. wx + yz
4. z+y+x+w
Answers
Answer:
1,3,3,2
Step-by-step explanation:
hope this helps :)
The required solutions are,
1. operations.
2. w(xy)z.
3. w(xy)z
The associative property is a mathematical principle that states that the grouping of operations or factors does not affect the final result of a calculation, as long as the order of the terms remains the same.
Here,
The associative property allows us to change the grouping of the factors that are multiplied together to create 2. operations.
When changing the grouping, the order of the factors stays the same; only the position changes.
The expression 3. (wx)yz is an equivalent expression to w(xy)z.
The expression 2. wx(yz) is also an equivalent expression to w(xy)z.
Learn more about associatve proerty here:
https://brainly.com/question/30111262
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Solve the equation
(If possible please show work)
Answers
Answer:
[tex]n=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2+4(2-3n)=58[/tex]
First, distribute the second term:
[tex]2+4(2)-4(3n)=58\\2+8-12n=58[/tex]
Add the left side:
[tex]10-12n=58[/tex]
Subtract both sides by 10. The left side cancels:
[tex](10-12n)-10=(58)-10\\-12n=48[/tex]
Divide both sides by -12. The left side cancels:
[tex](-12n)/-12=(48)/-12\\n=-4[/tex]
Therefore, the value of n is -4.
⇒2 + 4(2 - 3n) = 58
⇒4(2 - 3n) = 58 - 2
⇒2*4 - 3n*4 = 56
⇒8 - 12n = 56
⇒-12n = 56 - 8
⇒-12n = 48
⇒-n = 48/12
⇒-n = 4
⇒n = - 4
Hence, value of n is - 4
Find the inverse of the relation. Use proper notation. {(8,−1),(−8,−1),(−2,−8),(2,8)} please help!!
Answers
Answer: The inverse relation is { (-1, -8), (-1, -8), (-8, -2), (8, 2) }
The inverse is effectively the opposite of the original relation. It undoes what the original relation does. So we'll swap the x and y values for each given point in the form (x,y). Something like (8,-1) becomes (-1,8). The other points follow the same pattern as well.
steps to solve x/8-5=-1
Answers
Answer: x = 32
Step-by-step explanation:
x/8 - 5 = -1
Add 5 both sides : x/8 = 4
Multiply both sides by four: x=4 times 8
Are the fractions 1/4 and 3/12 common denominators?
Answers
Answer:
No
Step-by-step explanation:
Common denominators are the same number. Since 1/4 has a denominator of 4 and 3/12 has a denominator of 12 they are not the same, and therefore are not common denominators.
Answer:
no
Step-by-step explanation:
represent 8/5 on number line
Answers
Answer:
Step-by-step explanation:
--------|--------|---------|------||----|--------|---------|--------------------->
-1 0 1 5/8 2 3 4 ∞
The expression s² is used to calculate the area of a square, where s is the sidelength of the square. What does the expression (8x)² represent?A.The area of a square with a side length of 8b.The area of a square with a side length of 16c.The area of a square with a side length of 4xd.The area of a square witha side length of 8x
Answers
Answer:
Step-by-step explanation:
s^2 represents the area of a square whose side length is s.
(8x)^2 represents the area of a square whose side length is 8x.
There are (32)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish?
Answers
The total number of bacteria in the dish is 31457280
How to determine the total number?The expression is given as:
Total = (32)^4 * 30
Start by evaluating the exponent
Total = 1048576 * 30
Next, evaluate the product
Total = 31457280
Hence, the total number of bacteria in the dish is 31457280
Read more about products at:
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Answer:
A (3^8)
Step-by-step explanation:
I have this question on my test. I'm just assuming the person didn't put ^.
(3^2)^4 times 3^0
What is the area of a rectangle with 5cm height and 77cm length?
Answers
Answer:
area = 385 cm²
Step-by-step explanation:
area = 5cm * 77cm
area = 385 cm²
Find the solutions to 8x^2-56x=0 check all that apply
Answers
Answer:
[tex]\boxed{ x = 0 \ \ OR \ \ x = 7}[/tex]
Step-by-step explanation:
[tex]8x^2 -56 = 0[/tex]
Greatest common factor = 8x
=> [tex]8x(x-7) = 0[/tex]
Setting results equal to 0
Either:
8x = 0 OR x-7 = 0
x = 0 OR x = 7
Answer:
x= 0 or 7
Step-by-step explanation:
if you factor out the equation by 8, you get 8x(x-7)=0, which if you simplify that, gets you 0 or 7.