Answer:
(2/3)^2
Step-by-step explanation:
A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]
What is an exponent?In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.
Mathematically, an exponent can be modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numerical values, letters, or an expression.
n is known as a power.
By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:
[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]
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maths:Mr John thinks of a number he double it he' result is 58 what is Mr John number
Answer:
29
Step-by-step explanation:
if you do 58 divided by 2 you get 29 so Mr. John doubles 29.
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+9z2 and between the planes y=5 and y=10.
Answer:
Hello your question is incomplete attached below is the complete question
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
attached below is the detailed solution
Y varies directly with x. If x=150 and y=10 find y when x=60
Answer:
Step-by-step explanation:
x=150/10
=15
x=60
then y=60*1/15
=4
The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to estimate the difference between the average number of awakenings during the night between 45 -year-old men and 45 -year-old women.
Following are the calculation to the given equation:
The average number of awakenings during the night among 45-year-old men is 5.18 (approx) in the given graph.The average number of awakenings during the night among 45-year-old women is 3 (from the given graph).The distinction between the average numeral of awakening during the night between 45-year old (men and women) is [tex]\to 5.18 -3.00=2.18[/tex]Learn more:
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A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the margin of error for a 80 % confidence interval for the mean purchases of all customers
Answer:
$5.03Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
Describe the difference between the 6 in the 45,369 and the 6 in 67,420. Write two different statements.
They are different values. The 6 in 45,369 is in the tens place while the 6 in 67,420 is in the ten thousand place.
If DF =9x-39, find EF
Answer:
EF = 58
Step-by-step explanation:
From the question given, we obtained the following information:
DF = 9x – 39
DE = 47
EF = 3x + 10
EF =?
We'll begin by calculating the value of x.
This can be obtained as follow:
DF = DE + EF
DF = 9x – 39
DE = 47
EF = 3x + 10
DF = DE + EF
9x – 39 = 47 + 3x + 10
9x – 39 = 47 + 10 + 3x
9x – 39 = 57 + 3x
Collect like terms
9x – 3x = 57 + 39
6x = 96
Divide both side by 6
x = 96/6
x = 16
Finally, we shall determine the value of EF as follow:
EF =?
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 48 + 10
EF = 58
I need help ASAP!!!!!
Answer:
1. -24
2. 8
3.-12
4.-24
5.-20
6. -12
7. -30
8. 2
9. 16
10. 132
11. -35
12. -54
Which of the following correctly describes the product below?
5.15 x 6V7
Answer:
Step-by-step explanation:
78
Answer:
50
Step-by-step explanation:
What number is halfway between 0 and negative 20
What is the value of x? 11-5(x+7)=21
11) Which situation can be represented by 17.35x > 624.60?
F A waitress had received a $17.35 tip. This brought her total in tips to more than $624.60.
How much money in tips did she have before the $17.35 tip?
G Brianda made a deposit of $17.35 into a savings account. This brought the total in her
savings account to $624.60. How much money did she have in this savings account before
she made the deposit?
H A dozen tamales cost $17.35 including tax. How many dozen tamales can a customer buy
with $624.60?
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order
to earn more than $624.60?
Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
__
In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J
please help me it’d be truly appreciated luvs !
Step-by-step explanation:
5x - 2xy + 4y - 3y + 2x - z + 3xy
7x + xy + y - z
1. A number : minus 6 is greater than or
equal to 11.
will mark BRANLIEST and give you ALL MY POINTS, and answer ANY QUESTIONS U MAY HAVE!!!! pls help! tysm <3
Answer:
[tex]\huge \boxed{1+(-3)=-2}[/tex]
Step-by-step explanation:
An arrow goes from 0 to 1.
So 0 + 1 or just 1.
An arrow goes from 1 to -2.
So 1 - 3 = -2.
1 moves 3 units to the left to -2.
[tex]1+(-3)=-2[/tex]
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
Answer:
The answer is
[tex]y = - 6x - 3[/tex]Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y_{1} = m(x - x _{1})[/tex]where
m is the slope
( x1 , y1) is the point
From the question the point is (0 , 3) and slope is - 6
Substitute the values into the above formula and solve
That's
[tex]y - 3 = - 6(x - 0) \\ y - 3 = - 6x[/tex]We have the final answer as
[tex]y = - 6x - 3[/tex]Hope this helps you
You have 17 pennies, 31 nickels, 22 dimes, and 14 quarters. How much money will you have if you lend $6.50 to a friend?
Answer: 92 cents
Step-by-step explanation:
1. For the following scores, find the (a) mean (b) median (c) sum of squared deviations (d) variance (e) standard deviation 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
Answer:
a)to find mean
(sum the scores, divide by the number of scores) that is
( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21
= 42/21
= 2
b)
median means order the scores numerically then you choose the score in the middle and that is 2
c)sum of squared deviations is done by take difference between each score and the mean, square the result That is
Summation (xbar - x)²
add the final answer is 56
d)variance is gotten by taking sum of squared deviations, divide by (n-1))=
Summation (xbar - x)²/n-1
=2.8
e)standard deviation is square root of variance)= √V = 1.6
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages the expression 5×3+5×6 shows the total number of stickers he used. Use the distributive property to write this expression anther way
Answer:
5(x+x)=2(3)+3
Step-by-step explanation:
The expression in other way can be written as 5* (3 larger + 6 small stickers)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
for example:
An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3
Given:
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages,
5 * 3 + 5 * 6
Using distributive property,
a* b + a* c = a* ( b + c)
So,
5* ( 3+ 6)
= 5* 9
=45
also, the another way is
As the pages in both case is 5.
So, 5* (3 larger + 6 small stickers)
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I will Mark you as brainliest if you explain
Answer:
x=0 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+2)2=4
Step 1: Simplify both sides of the equation.
x2+4x+4=4
Step 2: Subtract 4 from both sides.
x2+4x+4−4=4−4
x2+4x=0
Step 3: Factor left side of equation.
x(x+4)=0
Step 4: Set factors equal to 0.
x=0 or x+4=0
x=0 or x=−4
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
-5
-3
3
5
Answer:
5
Step-by-step explanation:
Range is calculated by Taking the highest value number (1) and the lowest number(-4) and subtracting both the numbers.
Answer:
Step-by-step explanation:
As we know that
range= largest -smallest value
So
-4=smallest value
-1=largest value
-4-1=-5
Which expression is equivalent to the algebraic expression below? Show your work. 3(-2x - 1) A. x + 2 B. x - 1 C. -6x - 3 D. -6x - 1
Answer:
C
Step-by-step explanation:
Multiply 3 and -2x and that's -6x Multiply 3 and -1 and that's -3Determine whether this is valid or invalid argument
Answer:valid
Step-by-step explanation:
Solve the following triangle completely.
(a). in triangle ABC, B = 25.6° C = 124.4° C= 39.2m
(b) B = 101.15°, b= 17.23cm and C= 10.86cm.
Answer:
The answers is below in bold.
Step-by-step explanation:
(a) A = 180 - 25.6 - 124.4 = 30 degrees.
Next use the Sine Rule:
b / sin B = c / sin C
b / sin 25.6 = 39.2/sin 124.4
b = (39.2 * sin 25.6) / sin 124.4
b = 20.53 m.
Also
a / sin A = c / sin C
a / sin 30 = 39.2 / sin 124.4
a = (39.2 * sin 30 / sin 124.4
a = 23.75 m.
b). This is solved in a similar way to (a).
First find angle C using the sine rule.
Then you will know angle A from the 180 degree Rule.
Then you can find the length of a using the Sine Rule.
Easy Algebra Question! Solve for x [tex]b+3/x=f/2[/tex]
Answer:
Step-by-step explanation:
There are two denominators here: x and 2. The LCD is 2x.
Remove the fractions by multiplying all three terms by 2x:
2x(b) + 2x*3/x = 2x*f/2
Reducing these terms, we get:
2xb + 6 = x*f
Grouping the x terms together: 2xb - xf = -6
-6
Solving for x: x = ------------------
2b - f
QUESTION 1
Employees in 2018 paid 5.2% of their gross wages toward social security while employers paid another
7.3% How much will a person's employer pay towards social security if an employee makes $50,000 in
the year.
Answer:
$2600
Step-by-step explanation:
Given that:
the employee earns $50,000 in a year
The amount of money on wages paid by the employee towards social security = 5.2% of their gross wage
= [tex]\dfrac{ 5.2 \times 50000}{100}[/tex]
= $2600
if an employee makes $50,000 in the year, he will pay $2600 towards social security.
The other employees that paid 7.3% of their gross wages will not be regarded since they're paying it from their own fund.
RES
Find (fºg)(1)
Ax) = x2 - 1
g(x)= v
a 0
c. 4.
b.
d. 18
Help pls
Answer:
A
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=x^2-1\\g(x)=\sqrt x[/tex]
And we want to find:
[tex](f\circ g)(1)[/tex]
This is the same as:
[tex]f(g(1))[/tex]
So, to find the answer, find g(1) first:
[tex]g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1[/tex]
Now, substitute this value for g(1):
[tex]f(g(1))\\=f(1)[/tex]
And plug this into f(x):
[tex]f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0[/tex]
Therefore:
[tex]f(1)=f(g(1))=(f\circ g)(1)=0[/tex]
Our answer is A
If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of F(x)?
Greetings from Brasil...
Given the function:
F(X) = 3X
We know that F(X) = Y, so rewriting the function:
Y = 3XLet's check what is the inverse function of F(X). Just change the X for the Y and vice versa
Y = 3X
X = 3Y isolating Y
Y = X/3
So the inverse of function F(X) is
F⁻¹(X) = G(X) = X/3It is known that the population variance is 144. At 95% confidence, what sample size?a. 22.b. 23.c. 24.d. 25.e. none of the above.
Answer:
(E) None of the above
Step-by-step explanation:
The statistic provided is that of the population but the statistic you seek is that of the sample.
Looking at the statistic itself, Variance is the square of Standard Deviation or standard deviation is the square root of variance.
Hence you calculate the standard deviation of the population mean:
√144 = 12
The population standard deviation of/from the mean value is 12.
It could be possible to decipher the sample mean from population mean but not sample size.
So, you can't pick just any answer. Population size should be given first.
image Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 19 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
Answer:
C) A cut parallel to the vertical axis, directly through the vertical axis
Step-by-step explanation:
If you were to cut this figure in half vertically, the view from the front would be a triangle.
To produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
We have a square pyramid shown in the picture.
We must cut along to the vertical axis but off the vertical axis in order to create a triangle from the square pyramid.
Thus, to produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
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