Answer:
12 to the power of -2 is 0.00694444444
Step-by-step explanation:
When ever doing a number to the power of a negative number, the result will always be a fraction of a number.
Or
Fraction:
1/12^2
which is
1 / 144
Percentage:
0.00694444444 * 100 = 0.694444444%
Hope this helps, have a good day :)
(brainliest would be appreciated?)
The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.
The given expression is,
[tex]12^{-2}[/tex]
Here we can see that 12 has inverse power of 2.
Simplify it using basic rules of exponents.
To do so, we need to understand that a negative exponent indicates that the base should be inverted.
In other words, [tex]12^{-2}[/tex] is the same as 1/12²
To simplify this further,
Evaluate 12², which is,
12² = 12 x 12
= 144
Therefore, 1/12² can be expressed as 1/144.
Hence,
In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.
Learn more about the mathematical expression visit:
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If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas formula, but I am stuck :( any help would be appreciated
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{5}{1}[/tex] = - 5
product of roots = [tex]\frac{c}{a}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answer:
3 ft per minute
Step-by-step explanation:
Take the distance and divide by the time
3/4 ft ÷ 1/4 minute
Copy dot flip
3/4 * 4/1
Rewriting
3/1 * 4/4
3/1 *1
3 ft per minute
Please I need your help. Answer the questions following the grammar rules.
1. How much money do you spend a month on shopping?
2. Who do you normally go shopping with?
3. Do you enjoy shopping? Why? Why not?
4. Do you buy things on the internet? Why? Why not?
Answer:
Question 1: $100
Question 2: Myself
Question 3: Yes, because you get to buy things you might have been wanting, or saving up for.
Question 4: Yes, because its an easier way of shopping, and gets sent straight to your home.
Step-by-step explanation:
Hope this helps.
What is the difference between 15% of 7 and of 7?
Plzz help tysm if you do
Answer:
B
Step-by-step explanation:
it is defined for all values so D=R
also we can get any value
so Range =R
Answer:
B
Step-by-step explanation:
because that's odd power function it can take both, negative and positive values
Evaluate the expression shown below and write your answer as a fraction in simplest form(1/10-2/3) ÷ 0.5
Answer:
[tex]\frac{-17}{15}[/tex]
Step-by-step explanation:
When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, [tex]\frac{3}{30} - \frac{20}{30}[/tex]. This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing [tex]\frac{-17}{30} *2[/tex] equals [tex]\frac{-17}{15}[/tex].
To find the missing value?
Answer:
To fine the missing value JUST transpose
___ -(-5) = -7 {- * - = +}
___ +5 = -7
___ = -7-5
___= -12
so the missing place is -12
Answer:
-12
Step-by-step explanation:
factor x ^ 4 - 5x ^ 2 + 4
( − 2 ) ( 3+ 2 2 − − 2 )
Hope this helps, have a great day!
Last week, 17 employees exceeded their sales quota, 13 employees met their sales quota, and 3 employees didn't meet their sales quota. Express the number of employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota. Question 11 options: A) 3:13 B) 16:17 C) 17:16 D) 17:33
Answer:
17:16
Step-by-step explanation:
Number of employees exceeded their sales quota = 17
Number of employees met their sales quota = 13
Number of employees didn't exceed their sales quota = 3
Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota.
l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism
104 ft^2
Explanation:
The surface areaa of a rectangular prism is given by the formula:
2 (lw + hl + hw)
l = length
w = width
h = height
Substitute the formula with the givsn dimensions:
2 ([6 x 2] + [5 x 6] + [5 x 2])
= 2 (12 + 30 + 10)
2 (52)
= 104
So the SA is 104 square feet or ft^2
Hope this helps!
help me please I'm not sure if im right
Answer:
291 cm³
Does the answer help you?
A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41
Answer:
These two triangles are similar triangles. This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Tommy stands on a diving bored that is 4 feet above the pool’s surface. He dives and touches the bottom of the pool, which is 12 feet below the pool’s surface. What is the total length of Tommy’s dive?
Answer:t below the pool’s surface. What is the total length of Tommy’s dive?
7 feet
Step-by-step explanation:
Identify the function given y= -9/4
Answer:
the function is a y-intercept
Step-by-step explanation:
y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.
Because it says y=-9/4, we can assume that m, or the slope equals 0.
so when you plug it in, you get
y=0x-9/4
y=-9/4
pls find the answer for question 2
Answer:
c
Step-by-step explanation:
x³ - y³ ← is a difference of cubes and factors as
x³ - y³ = (x - y)(x² + xy + y²)
Given
[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1
Multiply through by xy to clear the fractions
x² + y² = - xy ← substitute into second factor of expansion
x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c
Answer:
The answer is C. 0
Step-by-step explanation:
since
[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]
we multiply both sides by xy to cancel their denominators and multiply -1 by xy
so we have
[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]
we get our answer as
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we were given the difference of cubes that is
[tex] {x}^{3} - {y}^{3} [/tex]
which is =
[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
so since,
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we substitute,
[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]
For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answer:
The correct option is;
D x + y ≤ -4, 3·x + 2·y ≤-5
Step-by-step explanation:
A. For the system of inequality, x + y < -4, 3·x + 2·y <-5
We have;
y < -4 - x, When x = 3, y < -7
y < -2.5 - 1.5·x, When x = 3, y = -7
B. For the system of inequality, x + y ≤ -4, 3·x + 2·y <-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y < -2.5 - 1.5·x, When x = 3, y < -7
C. For the system of inequality, x + y < -4, 3·x + 2·y ≤-5
We have;
y < -4 - x, When x = 3, y < -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
D. For the system of inequality, x + y ≤ -4, 3·x + 2·y ≤-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y ≤-5.
find the interquartile range for the data {5, 7, 9, 5, 6, 6, 6, 11, 11, 3, 3}
Answer:
4
Step-by-step explanation:
i dont really know how to explain i used an algebra calculator
Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
What is the domain of f(x) = 5x – 7?
{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}
Answer:
{x | x is a real number}
Step-by-step explanation:
f(x) = 5x – 7
There are no restrictions on the value that x can take
The domain is all real numbers
Answer:
In the given expression, that is, f (x) = 5x - 7, we can say:
x satisfies all the real values starting from -∞ to ∞.
domain of 5x-7
Interval notation for f (x):
(- ∞ , ∞)
So, the domain will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.
how do you find class width pliz help mi
Answer:
Class width refers to the difference between the upper and lower boundaries of any class (category)....
To find the width:Calculate the range of the entire data set by subtracting the lowest point from the highest,Divide it by the number of classes.Round this number up (usually, to the nearest whole number).Hope this helps you ❤️MaRk mE aS braiNliest ❤️An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Answer:.
Step-by-step explanation:.
Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers?
Answer:
28 : 37
Step-by-step explanation:
Find how many male teachers there are by subtracting 9 from 37:
37 - 9
= 28
Create a ratio with this to the total number of teachers:
28 : 37
So, the ratio of the number of male teachers to the total number of teachers is 28 : 37.
Need step by step explanation for this,
Thanks
Answer:
d = 19/5 or, 4.75 in decimal form
Step-by-step explanation:
(x-1)(x+4) write in standard form
Answer:
x^2+3x-4
Step-by-step explanation:
(x-1)(x+4)
x^2+4x-x-4
x^2+3x-4
Hope this helps ;) ❤❤❤
Answer:
y = x² + 3x -4
Step-by-step explanation:
we can use the FOIL formula
(x-1) (x+4)
x² + 4x - x -4
x² + 3x -4
therefore, the standard form would be y = x² + 3x -4
Evaluate the expression for the given value of the variable. −3x3, when x = 4
Answer:
The answer is - 192Step-by-step explanation:
The expression
- 3x³
To find the value of the expression when
x = 4 substitute the value of x that's 4 into the expression
We have
- 3(4)³
= - 3( 64)
The final answer is
- 192Hope this helps you
use order operation
Answer:
The correct answer is the final option, 2.
Step-by-step explanation:
[(16+4) - 10] - 8
Our first step in this problem, according to the order of operations, is to simplify what is inside the parentheses. Since there are multiple sets of parentheses, we must simplify the innermost group first. If we add 16 and 4, we get:
[20 - 10] - 8
Next, we must perform the subtraction inside the parentheses. This gives us:
10 - 8
Now, we can perform the final operation.
10 - 8 = 2
Therefore, the correct answer is 2.
Hope this helps!
Find value of k
from below eqn
[tex] {2x}^{2} + 7xy + 3y {}^{2} - 5x - 5y + k = 0[/tex]
Answer:
k=10BY DPING PROCESS IT BECOME
Can someone please help me on these 4 questions PLEASE HELP ME!!
Answer:4 ans x is -32/10
7 ans b is 6
10 ans x is 25/7
13 ans x is 9/2
Step-by-step explanation:
please mark this answer as brainlist
Hey, please help solve the question.
Answer:
75%=x-125
90%=x+250
subtract the second from the first
15%=375
100%=?
100%×375/15
100%=2500marked price is 2500
2500+250=2750
90%=2750
100%=?
cost price=3055.56
I don’t understand how to solve this. Please help!
Answer:
GH = 16; CH = 12
Step-by-step explanation:
First of all, you need to understand the meaning of "perpendicular bisector." It means that GH is divided into two equal parts by line AC, and that AC makes a right angle to GH.
The right angle is marked.
(a) The length of one of the halves of GH is marked as being 8 units long, so the other half will also be 8 units long. Of course, the length of GH is the sum of its two halves:
GH = GB +BH = 8 + 8
GH = 16
__
(b) Triangles CBG and CBH share side CB, so have that length in common. They have equal lengths BG and BH because BC bisects GH. They have a right-angle at B in common, so can be considered congruent by SAS, the fact that two congruent sides have a congruent angle between them.
Since triangles CBG and CBH are congruent, their corresponding sides CG and CH are also congruent. Side CG is marked 12 units long, so CH will be 12 units long, also.
CH = 12
You could shortcut all of the congruent triangle logic by recognizing that an altitude (CB) is a perpendicular bisector of the base (GH) if and only if the triangle is isosceles. The sides of an isosceles triangle are always congruent, so CG = CH = 12.
__
In part (c), you're supposed to choose possible theorems for demonstrating the congruence of the triangles we described above.