Answer:
4). 27V
Step-by-step explanation:
Let the edge of the cube A be x
Volume of Cube A= V
Volume= x*x*x= x³
so V = x³
Edge of cube B = 3 times edge of cube A
Edge of cube B = 3x
Volume of cube B =( 3x)³
volume of cube B = 27x³
But x³= V
So volume of cube B = 27v
Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)
Answer: y=-2/3x-2/3
Step-by-step explanation:
concept to know: two lines that are perpendicular has opposite reciprocal slopes.
y=-2/3x+b
in order to find b or the y-intercept, we need to plug in a point
3=-2/3(-4)+b
3=8/3+b
b=-2/3
y=-2/3x-2/3
Hope this helps!! :)
5 2/10 x -10 1/3
WILL GIVE BRAINLIEST!!!
Answer:
[tex]106 \frac{3}{5}[/tex]
Explanation:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
[tex]\frac{26}{5} \times \frac{-31}{3}[/tex]
Next, apply the fractions formula for multiplication. Formula below:
[tex]\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}[/tex]
[tex]= \frac{26 \times -41}{5 \times 2}= \frac{-1066}{10}[/tex]
Simplifying -1066/10, (you can do this by using division) the answer is:
[tex]106 \frac{3}{5}[/tex]
Answer:
-3 1/3
Step-by-step explanation:
5 2/10 x -10 1/3
10/10 x -10/3
1 x-10/3
-10/3
-3 1/3
your question is unclear. I think I understand it correctly
Enclosing the Largest Area The owner of the Rancho Grande has 3,052 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions (in yd) of the largest area he can enclose
Answer:
the shorter side = 1526
the longer side = 763
area = 1164338
Step-by-step explanation:
lets say
a=length
b = width
a + 2b = 3052
this is the perimeter
such that
a = 3052 - 2b
the area of a rectangle is a*b
= (3052 - 2b)b
= 3052b - 2b²
we differentiate this to get:
= 3052 - 4b
such that
3052 = 4b
divide through by 4, to get b, the width
3052/4 = 763
b = 763
put the value of b into a
a = 3052 - 2b
a = 3052 - 2(763)
a = 3052 - 1526
a = 1526
therefore
the shorter side = 1526
the longer side = 763
area = a x b
area = 1526 x 763
area = 1526 x 763
= 1164338
Which system of linear inequalities has the point (3, –2) in its solution set?
Answer:
see below
Step-by-step explanation:
We want where both inequalities are true
y > -3
-2 >-3 this is true
y ≥ 2/3x -4
-2≥ 2/3*3 -4
-2 ≥ 2 -4
-2≥ -2
This is true
This is is the graph
Answer:
[tex]\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
[tex]\sf The \ values \ must \ be \ true \ for \ both \ inequalities.[/tex]
[tex]x = 3\\y = -2[/tex]
[tex]y>-3\\-2>-3\\ \sf True[/tex]
[tex]y\geq \frac{2}{3}x-4 \\ -2\geq \frac{2}{3}(3)-4\\2\geq 2-4\\-2\geq-2 \\ \sf True[/tex]
Why is f (x) = (3x + 1/3)^2 + 8/9 not the vertex form of f (x)
not the vertex form of f (x) = 9x^2 +2x +1?
O The expression has a constant outside of the squared term.
O Some of the terms are fractions instead of integers.
O The expression is not the product of two binomials.
O The variable x has a coefficient.
Answer:
The Variable has a coefficient.
Step-by-step explanation:
The miss Petra psychic hotline charges 5$ For the first minute and 2$ for each additional minute. Give an equation the describes the situation
Answer:
y=2(x-1)+5
Step-by-step explanation:
We know that it is 5 dollars for the first minute so we know the equation will start off with +5.
Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.
Then we multiply the new value times 2, because each additional minute is 2 dollars more.
Find an equation of the plane through the point(1, 5,-1) and perpendicular to the vector (1, 5, 1). Do this problem in the standard way.
Answer:
x+5y+z = 25Step-by-step explanation:
Given a plane passing through the point(1, 5,-1) and perpendicular to the vector (1, 5, 1), the equation of the plane can be expressed generally as;
a(x-x₀)+b(y-y₀)+c(z-z₀) = 0 where (x₀, y₀, z₀) is the point on the plane and (a, b,c) is the normal vector perpendicular to the plane i.e (1,5,1)
Given the point P (1, 5, -1) and the normal vector n(1, 5, 1)
x₀ = 1, y₀ =5, z₀ = -1, a = 1, b = 5 and c = 1
Substituting this point in the formula we will have;
a(x-x₀)+b(y-y₀)+c(z-z₀) = 0
1(x-1)+5(y-5)+1(z-(-1)) = 0
(x-1)+5(y-5)+(z+1) = 0
x-1+5y-25+z+1 = 0
x+5y+z-1-25+1 = 0
x+5y+z-25 = 0
x+5y+z = 25
The final expression gives the equation of the plane.
average person lives for about 78 years. Does the average person live for at least 1,000,000 hours? (Hint: There are 365 days in each year and 24 hours in each day.)
Answer:
683,280 hours is what I caculated. Is that right?
Step-by-step explanation:
Answer:
There are (365 x 24) hours for each year.
and 365 x 24 are 8760.
and 8760 x 78 are 683,280.
so, the average person does not live at least 1 Million hours, but they live more than 500 thousand hours, or 5 x 10^5 hours.
Hope it helps!
Bye!
P.S. Please give me Brainliest...
I desperately need one more Brainliest...
Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink.
Required:
Is ordering a soft drink independent of ordering a square pizza? Explain
Answer:
Ordering a soft drink is independent of ordering a square pizza.
Step-by-step explanation:
20% more customers order a soft drink than pizza, therefore they cannot be intertwined.
Given: P(A)=0.5 & P(B)=.7
P(A∩B) = P(A) × P(B)
= 0.5 × .7
= 0.35
P(A∪B) = P(A) + P(B) - P(A∩B)
= 0.5 + .7 - 0.35
= 0.85
P(AΔB) = P(A) + P(B) - 2P(A∩B)
= 0.5 + .7 - 2×0.35
= 0.5
P(A') = 1 - P(A)
= 1 - 0.5
= 0.5
P(B') = 1 - P(B)
= 1 - .7
= 0.3
P((A∪B)') = 1 - P(A∪B)
= 1 - 0.85
= 0.15
Yes ordering a soft drink is independent of ordering a square pizza.
We have given 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink.
Let A: denote pizza
B: Soft drink
Then,
P(A)=0.5 and P(B)=0.7
And P(A∩B) = P(A) × P(B)
= 0.5 × 0.7
= 0.35
We know P(A∪B) = P(A) + P(B) - P(A∩B)
= 0.5 + 0.7 - 0.35
= 0.85
P(AΔB) = P(A) + P(B) - 2P(A∩B)
= 0.5 + 0.7 - 2×0.35
= 0.5
Also we know P(A') = 1 - P(A)
= 1 - 0.5
= 0.5
And P(B') = 1 - P(B)
= 1 -0.7
= 0.3
And P((A∪B)') = 1 - P(A∪B)
= 1 - 0.85
= 0.15
Learn more:https://brainly.in/question/16017018
What is the variable used in the equation 5x + 2 =100?
Answer:
[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]
Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option
Step-by-step explanation:
How to find joint and combined variation?
Step-by-step explanation:
Z will stay the same since the 2 will divide into 1
In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ
Answer:
2.7 in²
Step-by-step explanation:
Since ∆BAC and ∆EDF are similar, therefore, the ratio of their area = square of the ratio of their corresponding side lengths.
Thus, if area of ∆EDF = x, area of ∆BAC = 6 in², EF = 2 in, BC = 3 in, therefore:
[tex] \frac{6}{x} = (\frac{3}{2})^2 [/tex]
[tex] \frac{6}{x} = (1.5)^2 [/tex]
[tex] \frac{6}{x} = 2.25 [/tex]
[tex] \frac{6}{x}*x = 2.25*x [/tex]
[tex] 6 = 2.25x [/tex]
[tex] \frac{6}{2.25} = \frac{2.25x}{2.25} [/tex]
[tex] 2.67 = x [/tex]
[tex] x = 2.7 in^2 [/tex] (nearest tenth)
Someone please answer not really good with math.
Answer:
C
Step-by-step explanation:
3*3^2+8/2-(4+3)=27+4-7=24
Answer:
24
Step-by-step explanation:
Remember the order of operations: PEMDAS
P=Parenthesis
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
(Now you break it down)
3x3(2)+8/2-(4+3)
3x3(2)+8/2-7
3x9+8/2-7
27+8/2-7
27+4-7
31-7
Then you get your answer! (24)
If Ac={vt2/r) and vt=2 and r=2 find Ac
a. 4
b. 2
C. 1
D. 8
given: [tex] Ac=\frac{vt2}r \quad vt=2 \quad r=2[/tex]
$\therefore Ac=\frac{(2)2}{2}=2$
If f(x) = 2x2 – 3x – 1, then f(-1)=
The value of function at x= -1 is f(-1) = 4.
We have the function as
f(x) = 2x² - 3x -1
To find the value of f(-1) when f(x) = 2x² - 3x -1, we substitute x = -1 into the expression:
f(-1) = 2(-1)² - 3(-1) - 1
= 2(1) + 3 - 1
= 2 + 3 - 1
= 4.
Therefore, the value of function at x= -1 is f(-1) = 4.
Learn more about Function here:
https://brainly.com/question/32020999
#SPJ6
PLEASE HELP ME I DONT HAVE THAT MANY POINTS AND ITS DUE TODAY I NEED HELP ASAP
The table contains the data for your first weeks sales. Complete the table by calculating your commission and earnings for each day of the week
Answer with explanation:
Sales Commission(10% of sales)
$2,200 0.1×$2,200= $220
$2,000 0.1× $2,000= $200
$3,134 0.1×$3,134=$313.4
$2,417 0.1×$2,417=$241.7
$2,579 0.1×$2,579 =$257.9
The completed table is given as follows
Day Sales Commission Non-Sales pay Earning
(10% of sales) (Commission +Non Sales pay)
Mon $2,200 $220 $9.50 $220+ $9.50=$229.50
Tue $2,000 $200 $9.50 $200 +$9.50=$209.50
Thurs $3,134 $313.4 $9.50 $313.4+ $9.50=$322.9
Fri $2,417 $241.7 $9.50 $241.7+$9.50= $251.2
Sat $2,579 $257.9 $9.50 $257.9+$9.50=$267.4
What is the sum of the factors of the trinomial x^2-6x+5
Its a binomial
[tex]\\ \sf\longmapsto x^2-6x+5=0[/tex]
a=1b=-6c=5If zeros be alpha and beta
[tex]\\ \sf\longmapsto \alpha+\beta=\dfrac{-b}{a}[/tex]
[tex]\\ \sf\longmapsto \alpha+\beta=\dfrac{-(-6)}{1}[/tex]
[tex]\\ \sf\longmapsto \alpha+\beta=6[/tex]
the sum of the factors of the trinomial [tex]x^2-6x+5[/tex] is -6
Given :
A trinomial [tex]x^2-6x+5[/tex]
The given trinomial is in the form of [tex]ax^2+bx+c[/tex]
Compare the given trinomial with standard form and write the value of a,b,c
a=1, b=-6 and c=5
Sum of the factors of the trinomial is [tex]\frac{b}{a} =-\frac{-6}{1} =-6[/tex]
So, the sum of the factors of the trinomial is -6
Learn more : brainly.com/question/19800260
GCF/LCM of 8 and 24 the reduce 8/24
Answer:
GCF(8, 24) = 8LCM(8, 24) = 248/24 = 1/3Step-by-step explanation:
Since 8 is a factor of 24, 8 is the GCF of the pair, and 24 is the LCM of the pair.
__
The ratio 8/24 is reduced by observing that 24 = 8·3:
8/24 = 8/(8·3) = (8/8)·(1/3)
8/24 = 1/3
If 6x +3= 2x+ 19, then x =
Answer:
x = 4
Step-by-step explanation:
6x + 3 = 2x + 19 ------ subtract 3 both sides
6x + 3 - 3 = 2x + 19 - 3 simplify
6x = 2x + 16 ------ subtract 2x both sides
6x - 2x = 2x + 16 - 2x simplify
4x = 16
x = 16 / 4
x = 4
Answer: x = 4
Step-by-step explanation: If the variable appears on both sides of the equation, we put the variables together on one side of the equation and the numbers together on the other side of the equation.
So let's put our variables on the left side by first subtracting
2x from both sides of the equation to get 4x + 3 = 19.
Next, we subtract 3 from both sides to get 4x = 16.
Finally, we divide both sides by 4 to get x = 4.
what is the radius for a circle whose equation is x2 + y2 = 64
Answer:
radius of 8Step-by-step explanation:
step one :
Given that the equation of the circle is described as
[tex]x^2 + y^2 = 64[/tex]
To correctly identify the center of the circle we have to place the equation in the standard form.
the standard equation for a circle is
[tex](x-h)^2+(x-k)^2= r^2[/tex]
step two :
let us re-write the given equation so that we can compare it with the general equation of circle
[tex](x-0)^2+(x-0)^2= 8^2[/tex]
step three:
From this above equation in step two we can see that the circle has a radius of 8
295 feet = _____ meters ?
Answer:
Hello! I hope I am correct!
Step-by-step explanation:
295 feet will equal to 89.916 meters.
Steps in order to solve this problem:
First you have to multiply the length in feet by 0.3048.
295x 0.3048 or 295* 0.3048
(295 feet is equivalent to 89.916 meters!)
Will equal 89.916 meters.
Therefore, 295 feet = 89.916 meter
Hope this helps!
Brainliest would be appreciated!
By:BrainlyAnime
(Picture attached)
Find the total area of all the shaded rectangles.
4
The total area of all the shaded rectangles is
(Simplify your answer. Type an expression using x as the variable
Answer:
25x^2 + 40x + 16
Step-by-step explanation:
area = 5x * 5x + 5x * 4 + 5x * 4 + 4 * 4
area = 25x^2 + 40x + 16
25x² + 40x + 16 is the required equation in variable x.
What is mensuration ?
Mensuration is a branch of mathematics where we calculate length, width, area, volume, lateral surface area, total surface area.
The sum of the areas of the shaded rectangles is the total area.
By observation we can see that the four shaded rectangles together form a square.
We all know that the area of the square is (side)²
= (5x + 4)²
= 25x² + 40x + 16 this is the required equation.
learn more about mensuration here :
https://brainly.com/question/23877107
#SPJ2
According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,999. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $574. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,550 per year on reading and entertainment?
Answer:
The probability is [tex]P(X > x ) = 0.19215[/tex]
Step-by-step explanation:
From the question we are told that
Th The population mean [tex]\mu = \$ 1,999[/tex]
The standard deviation is [tex]\sigma = \$ 574[/tex]
The values considered is [tex]x = \$ 2,500[/tex]
Given that the distribution of the amounts spent follows the normal distribution then the percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as
[tex]P(X > x ) = P(\frac{ X - \mu}{\sigma } > \frac{ x - \mu}{\sigma } )[/tex]
Generally
[tex]X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(X > x ) = P(Z > \frac{ x - \mu}{\sigma } )[/tex]
substituting values
[tex]P(X > 2500 ) = P(Z > \frac{ 2500 - 1999}{574 } )[/tex]
[tex]P(X > 2500 ) = P(Z >0.87 )[/tex]
From the normal distribution table the value of [tex]P(Z >0.87 )[/tex] is
[tex]P(Z >0.87 ) = 0.19215[/tex]
Thus
[tex]P(X > x ) = 0.19215[/tex]
At which times could Rory's phone have been plugged into the charger? Select three options.
Answer:
what three options bro where are the options
Answer:
9 hours, 11 hours, 19 hours.
Find f(x) and g(x) so the function can be expressed as y = f(g(x) y = [tex]\frac{8}{x^2}[/tex]+4
Answer:
Step-by-step explanation:
Hello,
[tex]f(g(x))=\dfrac{8}{x^2}+4[/tex]
So if we take
[tex]f(x)=\dfrac{8}{x}+4 \ \ and \\\\g(x)=x^2\\ \\f(g(x))=\dfrac{8}{g(x)}+4=\dfrac{8}{x^2}+4[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Need help plotting this on number line
Refer to the attaachment
Find the sum of the first 30 terms in the sequence in #2. (Sequence is 16, 7, -2, …) Just need sum of first 30 solved :)
The sequence is arithmetic, since the forward difference between consecutive terms is -9.
7 - 16 = -9
-2 - 7 = -9
etc.
This means the sequence has the formula
[tex]a_n=16-9(n-1)=25-9n[/tex]
The sum of the first 30 terms is
[tex]\displaystyle\sum_{n=1}^{30}a_n=25\sum_{n=1}^{30}1-9\sum_{n=1}^{30}n[/tex]
Recall the formulas,
[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]
[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]
Then the sum we want is
[tex]\displaystyle\sum_{n=1}^{30}a_n=25\cdot30-\frac{9\cdot30\cdot31}2=\boxed{-3435}[/tex]
Choose the point-slope form of the equation of
this line.
Oy - 8 = -5(x - 3)
Oy - 8 = -5(x + 3)
Oy + 8 = -5(x - 3)
O y + 8 = -5(x + 3)
Answer: C
Step-by-step explanation:
When a sender and receiver belonging to the same group want to transmit technical information more efficiently, they should use:___________.
Answer:
Jargon that they both understand will be used.
Step-by-step explanation:
Jargon that they both understand will be used.
Jargon is a literary term that is defined as the use of specific phrases and words in a particular situation, profession, or trade. The use of jargon becomes important in prose or verse or some technical pieces of writing, when the writer plans to convey something only to the readers who are aware of these terms. Some of such examples are:
Due diligence: This is a business term, which refers to the research that should be done before making an important business decision.
AWOL: Short for "absent without leave," AWOL is military jargon used to describe a person whose whereabouts is unknown.
Simplify 4^-4.
please help I have 10 minutes
Answer:
1/256
Step-by-step explanation:
[tex]4^{-4}[/tex]
[tex](1/4)^{4}[/tex]
=> 1/256