Answer:
[tex]-54x^8[/tex]
Step-by-step explanation:
[tex]2x^{2}(-3x^2)^3\\\\2x^2((-3)^3(x^{2*3}))\\\\2x^2(-27x^6)\\\\2(-27)(x^{2+6})\\\\-54x^8[/tex]
Answer:
[tex]-54x^{8}[/tex]
Step-by-step explanation:
[tex]2x^{2} (-3x^{2} )^{3}[/tex]
We first carry through the cube.
[tex]-3^{3} x^{2*3}[/tex]
[tex]-3^{3}[/tex] = -27 [tex]x^{2*3} = x^{6}[/tex]
Now we have [tex]2x^{2} (-27x^{6} )[/tex]
2 * - 27 = -54
[tex]x^{2} *x^{6} = x^{8}[/tex]
[tex]-54x^{8}[/tex]
Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
for opening night totaled $2071.50. The equation 10.50 +3.750 - 2071.50, where a is the number of adult tickets sold and b
is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students
attended, how may adult tickets were sold?
adult tickets
Intro
Done
Answer:
168 adult tickets were sold
Step-by-step explanation:
$10. 50 per adults
$3. 75 per student
There are 82 students..
.. So...
$3. 75 × 82 = $307. 50
Overall the amount of money made was $2071.50
If you subtract $307.50 from $2071. 50 you will get $1,764
We now need to find out how many adults bought tickets by dividing $1, 764 by the price adults have to pay so..
Amount of adults who bought tickets are
= $1, 764 ÷ $10. 50
= 186 adults
Helpppppppppppp me I really need help
The floor of a swimming pool is covered in 525 blue, 300 green and 75 white tiles. What is the ratio of blue to white tiles?
What is the ratio of the blue and white tiles
how do i make 4y squared -3=13 into a verbal expression (couldnt find the subscript so i could put an actual 2 for squared)
Answer:
"Subtracting 3 from four times the square of an unknown number gives 13"
Step-by-step explanation:
The expression
[tex]4\,y^2-3 = 13[/tex]
in word form could be:
"subtracting 3 from four times the square of an unknown number gives 13"
3. What is the coefficient in the expression: 94a+2?
Answer:
The coefficient would be 94
Step-by-step explanation:
A coefficient is the number used to multiply the variable! Hope this helps!
a) The marked price of a mobile is 25% above its cost price, When it is sold at a gain of
10%, the profit amounts to Rs 725. Find the marked price of the mobile.
Answer:
the marked price of a mobile is 25% above its cost price when it is sold at a gain of 10%, the profit amount to RS 725 find the marked price of the mobile
Step-by-step explanation:
Hope this helps.......
GCF of 12z3, 45z2, and 18z5.
Answer:
3z^2
Step-by-step explanation:
Factors of the different terms are ...
12z^3 = 2·2·3·z·z·z
45z^2 = 3·3·5·z·z
18z^5 = 2·3·3·z·z·z·z·z
The common factors are 3 and z·z.
The greatest common factor is 3z^2.
plsplsplspslspls help ill give you a kiss on the cheek :)
Answer:
A)
Important information:
The total cost includes the price of 2 tickets and the price of yogurt.
The total cost: 19.90$
The price of yogurt: 5.5
The price of 2 tickets: unknown
Each of the tickets costs the same amount of money.
Verbal Description:
For the unknown value, the letter x is often selected to represent this unknown value.
Here, we select x that is the price of 1 ticket, then the price of 2 tickets would be 2x.
=> We have the equation: 2x + 5.5 = 19.90
Transfer 5.5 to the right, and then divide both sides by 2, we have:
(2x)/2 = (19.9 - 5.5)/2
Take the simplification, we have:
x = 7.2$ (this is the price of a ticket)
B)
Use the same strategy as shown in A), we have:
Total number of stamps: 100
Mari's number of stamps: x
Carlos's number of stamps: x + 5
Amanda's number of stamps: 3x
=> 3x + x + x + 5 = 100
=> 5x = 100 - 5
=> 5x = 95
=> x = 19
Mari's number of stamps: 19
Carlos's number of stamps: 19 + 5 = 24
Amanda's number of stamps: 3 x 19 = 57
C)
The perimeter of the garden:
perimeter = (width + length) x 2
perimeter = 256
width = w
length = w + 8
=> We have:
256 = (w + w + 8) x 2
<=>256 = (2w + 8) x 2
<=> 256/2 = (2w + 8) x 2/2
<=> 128 = 2w + 8
<=> 128 - 8 = 2w
<=> 120 = 2w
<=> w = 60
=> width of garden: 60
=> length of garden: 60 + 8 = 68
Answer:
68
Step-by-step explanation:
20 POINTSS To whom ever can answer this
Answer:
[tex]-3/13[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\frac{y^3+\sqrt{x-2}}{|4x-y|}[/tex]
And we want to evaluate it for x=6 and y=-2.
Thus, substitute:
[tex]=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}[/tex]
Let's do the numerator first:
[tex](-2)^3+\sqrt{6-2}[/tex]
Cube the first term and subtract under the radical:
[tex]=-8+\sqrt4[/tex]
Simplify:
[tex]=-8+2[/tex]
Add:
[tex]=-6[/tex]
Now, do the denominator:
[tex]|4(6)-(-2)|[/tex]
Multiply:
[tex]=|24-(-2)|[/tex]
Simplify and add:
[tex]=|24+2|\\=|26|[/tex]
Remove the absolute value bars:
[tex]=26[/tex]
So, together:
[tex]=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}\\=-6/26[/tex]
Reduce:
[tex]=-3/13[/tex]
And that's our answer: :)
Gin Rummy and are holding 10 cards in your hand from a standarddeck of 52 cards. Find the probability t
Here is the correct question
Gin Rummy and are holding 10 cards in your hand from a standard deck of 52 cards.
a) How many ways can you select three kings and four 6's from the deck, the remaining cards not kings or 6's
b) Find the probability that three kings and four 6's are being held by you from the deck.
Answer:
a) 52976
b) [tex]\mathbf{3.34866744 \times 10^{-6}}[/tex]
Step-by-step explanation:
So from the information above,
no of ways three kings can be selected and four 6's from the deck without the remaining cards being kings or 6's can be expressed as:
no of ways to select 3 kings from 4 kings is [tex](^4_3)[/tex]
no of ways to select 4 6's from (4 6's) is [tex](^4_4)[/tex]
no of ways to select the remaining 3 cards from (52 - 4 - 4) = 44 cards is [tex](^{44}_3)[/tex]
Mathematically, multiplying the three together we have:
[tex]= (^4_3) (^4_4) (^{44}_3)[/tex]
[tex]= \dfrac{4!}{3!(4-3)!} \times \dfrac{4!}{4!(4-4)!} \times \dfrac{44!}{3!(44-3)!}[/tex]
[tex]= 4 \times 1 \times 13244[/tex]
= 52976
To find the probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's can be calculated as follows;
To do this, we need to first know the no of ways we can select 10 cards out of the pack of 52 cards
i.e
[tex](^{52}_{10})[/tex]
= [tex]\dfrac{52!}{10!(52-10)!}[/tex]
= [tex]\dfrac{52!}{10!(42)!}[/tex]
= 1.58200242 × 10¹⁰
Now, to find the probability that you are holding three kings and four 6's from the deck, the remaining cards not kings or 6's :
we will need to divide the number of ways we can select three kings and four 6's from the deck by the no of ways we can select 10 cards out of the pack of 52 cards.
Mathematically; we have,
[tex]=\dfrac{52976}{1.58200242 \times 10^{10}}[/tex]
= [tex]\mathbf{3.34866744 \times 10^{-6}}[/tex]
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
[tex]F = 9.75cm[/tex]
Step-by-step explanation:
Given
In ABC;
[tex]C = 3.9cm[/tex]
[tex]Dilation = 2.5[/tex]
Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows
[tex]F = Dilation * C[/tex]
[tex]F = 2.5 * 3.9cm[/tex]
[tex]F = 9.75cm[/tex]
how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation
Answer:
The function would be positive in:
(-9, 3]
Step-by-step explanation:
A function is considered positive on the X-axis when the changed values in the function are greater than zero. f(x) > 0
And is considered negative when f(x) < 0.
In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.
This can be written as (-9, 3]
It means that -9 is not taken but any number greater than -9 is.
Helena builds a shed in her backyard. There is a larger square section for large tools, like her lawn mower, and a smaller square section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as are possible.
Answer:
Step-by-step explanation:
a) From the image attached, the area of the small section is 16ft² and the area of the large section is 50 ft². The area of a square = length × length = length².
For the small section: Area = length²
16 = length²
length = √16 = 4 ft
For the large section: Area = length²
50 = length²
length = √50
The length of entire shed = length of small area + length of large area = 4 + √50
The length of entire shed = 4 + √50
b) All square root of integers other than perfect squares are irrational numbers , hence 4 + √50 is an irrational number. All numbers belongs to the set of real numbers. Therefore 4 + √50 is an irrational number and real number
Arrange the following numbers from smallest to largest: 3.04, 3
10
3.024
Answer:
3, 3.024, 3.04, 10
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
I WILL GIVE BRAINLIEST IF IT IS CORRECT! The Atlantic Ocean covers about 3.2 × 10^7 square miles. The Pacific Ocean covers about 6.4 × 10^7 square miles. About how much area does the Atlantic Ocean and Pacific Ocean cover? A. 3.2 × 10^7 square miles B. 9.6 × 10^7 square miles C. 3.2 × 10^14 square miles D. 9.6 × 10^14 square miles
Answer:
B
Step-by-step explanation:
3.2 * 10⁷ + 6.4 * 10⁷
= 10⁷ * (3.2 + 6.4)
= 10⁷ * 9.6
= 9.6 * 10⁷
Answer:
The Atlantic Ocean and Pacific Ocean covers about 9.6 x 10^7 mi^2
Step-by-step explanation:
Let
x -----> area covered by the Atlantic Ocean
y -----> area covered by the Pacific Ocean
we know that
The area that covers the Atlantic Ocean and Pacific Ocean is equal to the sum of the area covered by the Atlantic Ocean and the area covered by the Pacific Ocean
x = 3.2 x 10^7
y = 6.4 x 10^7
Substitute
x + y = 3.2 x 10^7 + 6.4 x 10^7 = 9.6 x 10^7.
Hope this helps! And good luck on your test!
Which of the following numbers is rational? A. 4/5 B.√27 C.4.020020002000002.... D.√31
Greetings from Brasil...
First let's define the rational number....
→ Division between two numbers with the detail that the dividend or denominator cannot be zero
A/B or A ÷ B
where B ≠ 0
(just for the sake of knowledge. If B = 0 we would have +∞ as an answer)
A ∈ ℤ
and
B ∈ ℤ* (B ≠ 0)
In this way, when dividing A by B, we will obtain a whole number or a number with a decimal (finite decimal or periodic tenth)
Let's go to the alternatives
A = 4/5 = 0,8 (finite decimal)4 ∈ ℤ and 5 ∈ ℤ*, so we have a rational number
B = √27 = 5.1961524227066318805823390245176
(There is no repetition of tithing periods (numbers after the point) - non-periodic tithe). So we have an Irrational Number
C = 4.020020002000002
There is no periodic tenth - Irrational Number
D = √31 = 5.5677643628300219221194712989185
Irrational Number - Non-periodic tithe
Solve the equation. Check your answer. 17 = 4x + 3 = 2x (Simplify your answer.
Answer:
7/2
Step-by-step explanation:
17=4x+3
4x=17-3
4x=14
x=14/4
x=7/2
What is 1/5 of 30????
Answer: The answer is 6!
Step-by-step explanation:
Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What is the smallest positive integer n such that M^n is the identity matrix? a. 2. b. 3. c. 4.d. 6.
Multiplying M by any matrix A would return new matrix, B, in which
• the 1st row of B is equal to the 4th row of A,
• the 2nd row of B is equal to the 3rd row of A,
• the 3rd row of B is equal to the 2nd row of A,
• the 4th row of B is equal to the 5th row of A, and
• the 5th row of B is equal to the 1st row of A.
The pattern here is
1 => 4 => 5 => 1
2 => 3 => 2
Let {4, 3, 2, 5, 1} denote the matrix M, where each number refers to the row of the identity matrix, I.
Using this notation, the pattern above gives
M² = {5, 2, 3, 1, 4}
M³ = {1, 3, 2, 4, 5}
M⁴ = {4, 2, 3, 5, 1}
M⁵ = {5, 3, 2, 1, 4}
M⁶ = {1, 2, 3, 4, 5}
so that n = 6.
(Notice that the first cycle has length 3 and the second one has length 2; the minimum n needed here is then LCM(2, 3) = 6.)
To help solve the trigonometric inequality sec(x/3)+4>2-sec(x/3) which two equations could you graph
A.y=sec(x/3) and y =-2.
b.y=sec(x/3) and y=-1.
C.y=sec(x/3) and y=1
D.y=sec(x/3) and y=2
Answer:
b. y=sec(x/3) and y=-1
Step-by-step explanation:
sec(x/3) + 4 > 2 − sec(x/3)
2 sec(x/3) > -2
sec(x/3) > -1
Graph y = sec(x/3) and y = -1.
What is the slope of the equation Y = 5/4x - 7/5 ?
-7
-7/4
5/4
5
Answer:
The slope is 5/4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x - 7/5
The slope is 5/4 and the y intercept is -7/5
What is the direction and strength of the association between the variables?
A. strong positive
B. strong negative
C. weak positive
D. weak negative
Answer:
Strong Negative
Step-by-step explanation:
Took the test and know this is the right answer.
The direction and strength of the association between the variables is strong negative.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The relationship between the variable X and Y plotted on the graph depicts a strong negative association between the two variables.
The direction of the trend on a linear plot gives an information about the direction of the slope of the graph, the graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y
The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variables.
When the trend isn't clearly defined and obvious, the relationship is weak.
Hence, the direction and strength of the association between the variables is strong negative.
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Factorize the Expression 81w^2 - 36wz + 4z^2
Answer:
( 9w - 2z)^2
Step-by-step explanation:
81w^2 - 36wz + 4z^2
Rewriting as
(9w)^2 - 2 * 9 w 2z + (2z)^2
We recognize that this is a perfect square binomial
a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2
let a = 9w b = 2z
81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2
What is the distance between -12 and - 7 on a number
line?
The distance between the points A ( -12 ) and B ( -7 ) on the number line is given by distance d = -5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first point be A ( x₁ )
The value of A ( x₁ ) = A ( -12 )
Let the second point be B ( x₂ )
The value of B ( x₂ ) = B ( -7 )
Let the distance between the two points on the number line be = D
Now , the equation will be
The distance between the points A and B is calculated by
The distance D = B - A
Substituting the values in the equation , we get
The distance D = -12 - ( -7 )
Distance D = -12 + 7
Distance D = -5
Therefore , the value of D is -5
Hence , The distance between the points A ( -12 ) and B ( -7 ) on the number line is given by distance d = -5
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What is the equation of the line that passes through the point (5,4) and has a slope of 6/5
Answer:
y = 6/5x -2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
y = 6/5 x +b
We have a point on a line
4 = 6/5( 5) +b
4 = 6+b
Subtract 6 from each side
4-6 = 6+b-6
-2 = b
The equation is y = 6/5x -2
Use the distributive property to remove the parentheses.
7c^2(9c^5 +10c)
Simplify your answer as much as possible.
Answer:
63c^7 + 70c^3.
Step-by-step explanation:
7c^2(9c^5 + 10c)
= 7c^2 * 9c^5 + 7c^2 * 10c
= 63c^7 + 70c^3.
Is 1000/1=100 standard form? If not what is it’s standard form
Answer:
1000
Step-by-step explanation:
1000/1 = 1000
Multiplying or dividing any number by 1 does not change its value.
__
In the US, "standard form" is the number written in the usual way: digits to the left and/or right of a decimal point, with zeros as placeholders where required. (If there is no fractional part, the decimal point is optional.*)
In the UK, "standard form" is what is called "scientific notation" in the US. There is one digit to the left of the decimal point, and the remaining significant digits are to the right of the decimal point. The number is multiplied by ten to the power corresponding to the place value of the most significant digit. In this "standard form", 1000 = 1.×10³.
_____
* When you're concerned about significant digits, the presence of a decimal point will indicate any zeros immediately to its left are significant. That is, 20 has 1 significant digit; 20. has 2 significant digits. The zero is indicated as being significant by the presence of the decimal point.
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answer:
x=−1,−7
Step-by-step explanation:
Answer:
The solutions are {-1, 9}
Step-by-step explanation:
x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.
Taking the square root of both sides of (x - 4)^2 = 25, we get:
x - 4 = ±5, or:
x = 4 + 5 = 9, and
x = 4 - 5 = -1
The solutions are {-1, 9}
Smaller p-values indicate more evidence in support of the: A. the reduction of variance B. null hypothesis C. quality of the researcher D. alternative hypothesis
Answer:
D
Step-by-step explanation:
Smaller p values that there is evidence to show that the alternate hypothesis should be accepted. The smaller the p value, the more evidence there is that we are not to accept the null hypothesis. The p value during a hypothesis yet, tells us how significant our result is. It gives a measurement of how strong the evidence is, against the null hypothesis.
Formulas HW for algebra. First correct answer gets a heart and 5 stars.
Answer:
P=-w/m +s
Step-by-step explanation: