Answer:
4 = 22
Step-by-step explanation:
Factor 40 into its prime factors
40 = 23 • 5
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
4 = 22
Factors which will remain inside the root are :
10 = 2 • 5
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
2 = 2
At the end of this step the partly simplified SQRT looks like this:
2 • sqrt (10x4)
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x4) = x2
sqrt (40x4) =
2 x2 • sqrt(10)
Simplified Root :
2 x2 • sqrt(10)
I'LL MARK BRAINLIST
A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are possible?
In a box there are 11 similar balls where 8 are red and the remaining are blue. if we draw one ball at random.then what is the probability to draw a blue ball?
Answer:
27%
Step-by-step explanation:
There are 11 balls in total. If 8 are red, (11-8) are blue =3
3/11 is the fraction of blue balls. Convert to percent =27%
A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per sen
function f(h) = -8t² +8t + 12 represents the height, h, in feet of the skateboarder after t seconds.
How many seconds was the skateboarder airbound
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
Below in bold.
Step-by-step explanation:
When he lands h = 0 so
-8t^2 + 8t + 12 = 0
Solving for t
t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16
t = 1.82 seconds.
Use the discriminant to determine how many and what kind of solutions the quadratic equation x^2 - x = 1 has.
1. no real or complex solutions
2. two complex (nonreal) solutions
3. one real solution
4. two real solutions
Answer:
4. two real solutions
Step-by-step explanation:
[tex]x^2 - x = 1[/tex] (Given)
[tex]\implies x^2-x-1=0[/tex]
Equating it with [tex]ax^2+bx+c=0[/tex]We find: a = 1, b = -1, c = -1Next, we calculate the discriminant of the given quadratic equation by plugging the values of a, b and c in the formula [tex]\implies b^2-4ac[/tex][tex]b^2-4ac\\=(-1)^2-4(1)(-1)\\=1+1=2>0\\\implies b^2-4ac >0[/tex]
-> Given quadratic equation has two real solutions.
A rectangular prism has dimensions x units, 2x units, and x 8 units. which expression represents the surface area of the prism? 8x 16 square units 16x 32 square units 10x2 48x square units 2x3 16x2 square units
The rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Volume of a rectangular prismThe formula for calculating the suface area of rectangular prism is expressed as:
A =2()
lw + wh + lh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
l = x units
w = 2x units
h = x - 8 units
Substitute
S = 2(2x^2 + x^2 - 8x + 2x^2 - 16x)
S = 2(5x^2-24x)
S= 10x^2 - 48x square units
Hence the rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Learn more on surface area here:https://brainly.com/question/76387
Answer:
C
Step-by-step explanation:
10x^2+48x
Please hurry... Have a blessed day!
Answer:
A
Step-by-step explanation:
divide all sides by four and you get first answer.
Which is a coefficient matrix for the system of linear equations?
Answer:
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.
Step-by-step explanation:
the matrix is used in solving systems of linear equations
-5=0.1x-8.5 what is the answer
Answer:
x = 35
Step-by-step explanation:
hope this helps
Answer: x = 35
Step-by-step explanation:
-5 = 0.1x - 8.5
Step 1: Rewrite the equation:
0.1x - 8.5 = -5
Step 2: Add 8.5 on both sides.
0.1x = 3.5
Step 3: Divide 0.1 on both sides.
x = 35
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as kim's fish
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.
What is the fundamental principle of multiplication?
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.
Kim caught a fish of length = 9/10 m
Doug caught a fish of length = 2/3 as long as Kim's fish.
= 2/3 x 9/10
= 18 / 30
= 3/5
Thus, Doug caught a fish that was 3/5 meters long.
Learn more about multiplications;
https://brainly.com/question/14059007
i need answer please
Answer:
∠ BED = 57°
Step-by-step explanation:
angles on the circumference subtended by the same arc are congruent,
∠ BCD and ∠ BED are both subtended by arc BD , then
∠ BED = ∠ BCD = 57°
Solve for x in the diagram below.
x – 7y + x + y answer
Answer:
2x - 6y
Step-by-step explanation:
Combine like terms
(x) - 7y + (x) + y
2x - 7y + y
Combine like terms again
2x - (7y) + (y)
2x - 6y
Hope this helps!
how do i do 15, 16???
e.g for 15:
a = 3, b is missing, c = 10
A is missing, B is ?, C is 90
Tell whether the ordered pair is a solution of the linear system.
(4, -1)
x + 2y = 2
x - 2y = 6
Answer:
(4,-1) is a solution
Step-by-step explanation:
x + 2y = 2
x - 2y = 6
We want to see if (4,-1) is a solution to the system.
To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution
x + 2y = 2
==> plug in x = 4 and y = -1
4 + 2(-1) = 2
==> multiply 2 and -1
4 - 2 = 2
==> subtract 2 from 4
2 = 2
x - 2y = 6
==> plug in x = 4 and y = -1
4 - 2(-1) = 6
==> multiply -2 and -1
4 + 2 = 6
==> add 4 and 2
6 = 6
Both equations are true therefore (4,-1) is indeed a solution to the system
Find the surface area of the triangular prism shown below.
Answer:
136
Step-by-step explanation:
5*7 = 35
5*7 = 35
4*6/2 = 12
4*6/2 = 12
7*6 = 42
Add them all up
help me out on this..
Answer:
The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!
Step-by-step explanation:
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
Answer:
It's {2} since it's the common between A and B
You want to know the average number of goals scored by professional hockey players. Should you survey the population or a sample?
Answer:
Populaiton
Step-by-step explanation:
Surveying the population will give a more accurate data set as the sample size could be biased based on the characteristics of specific players.
solve for x : -172 = -11x + 4
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Alright so:
-172 = -11x + 4
-4 - 4 (-4 on both sides)
so,
-176 = - 11x
divide by -11
so,
-11x ÷ - 11 = x
-176÷-11= 16
x=16
Richard and Cameron buy a carton containing 6 66 eggs. The back of the carton says, "The expected number of broken eggs per package is 0.12 0.120, point, 12." Richard says, "The probability that one of these cartons contains a broken egg is 0.12 0.120, point, 12, on average." Cameron says, "For every 100 100100 packages like this, we'd predict about 12 1212 broken eggs in total." Whose statement is correct based on the expected value?
Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np.
In this problem, we have that:
The probability of a package containing a broken egg is of p = 0.12.There is a sample of 100 packages, hence n = 100.Thus, the expected value is given by:
E(X) = np = 100 x 0.12 = 12.
Hence, Cameron's statement is correct.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
The table shows survey results for 200 patients who had either hip or knee surgeryIf one person is selected randomly, what probability he or she was satisfied, given that he or she had knee surgery? (Round to the nearest tenth of a percent.)
Answer:
Step-by-step explanation:
Answer:
B. 73.7%
Step-by-step explanation:
Usa Tesprep explained
A line passes through the pointa (-8,8) and (12,7)
Answer: y= -1/20x + 38/5
or
y= -1/20x + 7.6
Step-by-step explanation:
y-y1 = m(x-x1)
m = 8-7 / -8 - 12 = 1/-20 = -1/20
y-8 = -1/20(x+8)
y=-1/20x - 8/20 + 160/20
y= -1/20x + 38/5
or
y= -1/20x + 7.6
an equation for 72th term in 4,7,10,13
Answer:
[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]
[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]
Step-by-step explanation:
Let the series be: 4, 7, 10, 13,.....
Given,
First term (a) = 4Common difference (d) = [tex]a_{2} - a_{1} = 7 - 4 = \bf\:3[/tex]Number of terms (n) = 72[tex]72^{nd}[/tex] term of the series ([tex]a_{72}[/tex]) = ?We know that,
[tex]\bf\:a_{n} = a + (n - 1)d[/tex]
Equation for the [tex]72^{nd}[/tex] term of the series,
[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]
By using this formula & substituting the values,
[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]
•°• The [tex]72^{nd}[/tex] term of the series is 217.
[tex]\rule{150pt}{2pt}[/tex]
A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
Answer:
4/10 = 2/5 = 40%
Step-by-step explanation:
Q,R,S,T = 4
Q R S T U V W X Y Z =10
please answer, thank you so so so so so so so so much!
Answer:
A = 160 in²
Step-by-step explanation:
Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.
Rectangle A
A = 10 x 7
A = 70 in²
Rectangle B
A = 11 x 6
A = 66 in²
Rectangle C
A = 4 x 6
A = 24 in²
Total Area
A = 70 + 66 + 24
A = 160 in²
Hope this helps and God bless!
Answer:
160
Step-by-step explanation:
Do (6x4)+(6x18)+(7x4)
You don't need to put the parentheses but it makes it look better and make it easier to understand.
HELPPPP FIND THE AREA
you can just split the figure in 2 separate figures and them add the areas:
area rec. 1:
3m×3m= 9m²
area rec. 2:
3m× (2m+3m)
= 3m×5m
=15m²
total area:
9m²+15m²= 24m²
Answer:
Area = 24
Step-by-step explanation:
Work and explanation ~
i really need help ASAP
Answer:
B
Step-by-step explanation:
2q+437= 931
subtract 437
2q= 494
divide by 2
q= 247
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
Which of the following statements is always true?
a. Workers being paid on commission make less money than if they are salaried.
b. Workers being paid on commission have a salary that varies based on their performance.
c. Workers being paid on commission are stressed over the amount of earnings they will have.
d. Workers being paid on commission increase the accounting costs of the employer.
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
hope it helps <3333
You look beautiful
Tell me the answer please 1+2-3+4-5+6-7+8-9=
Answer:
1+2-3+4-5+6-7+8-9=3-3+4-5+6-7+8-9=-1+6-7+8-9=5-7+8-9=6-9=-3
Step-by-step explanation:
Answer: 45
Step-by-step explanation: Add all the digits