Find the product
(7x^2y^3)(3x^5y^8)

Answers

Answer 1

Step-by-step explanation:

First, we put the expressions in multiplication form:

(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)

We multiply like terms:

(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)

We multiply the coefficients and add the exponents:

21x2+5y3+821x2+5y3+8

Solving, we obtain:

21x7y11

Answer 2

Hello!

[tex]\large\boxed{21x^7y^{11}}}[/tex]

(7x²y³)(3x⁵y⁸)

Multiply by ADDING exponents with the same base:

(7 * 3) (x² * x⁵) (y³ * y⁸)

21 * x² ⁺ ⁵ * y³ ⁺ ⁸

Simplify:

21 * x⁷ * y¹¹

21x⁷y¹¹


Related Questions

Does anyone know how to solve these?

Answers

remember the slope= rise/run. so for the first graph, there are coordinates (0,5) and (2,3). so the rise = 3-5=-2 and the run=2-0=2 so the slope=-2/2=-1. and since the equation for a line is y=mx+ b, where m is the slope and b is the y intercept, the answer is y=-x+5

then just do the same process with the other question to get y=(2/5)x-3

Answer:

1st graph: slope is -1 and equation is y=-x+5

2nd graph: slope is 2/5 and equation is y=2/5x-3

Step-by-step explanation:

y=mx+b is slope-intercept form.

It's call that because this forn tells us the slope,m, and the y-intercept,b.

The first graph you have identified b as 5 since you said the y-intercept was (0,5).

Now we just find slope by finding rise/run.

(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.

The equation for first graph is y=-1x+5 or y=-x+5.

So again you have no problem identifying the y-intercept which is b=-3.

Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.

Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
- 4x2 + 2x - 5(1 + x)
What expression is equivalent to the given expression?

Answers

Answer:

4x² + 3x + 5

Step-by-step explanation:

Given:

- 4x² + 2x - 5(1 + x)

Open parenthesis

= - 4x² + 2x - 5 - 5x

= - 4x² + 2x - 5x - 5

= - 4x² - 3x - 5

Multiply through by -1

= - 1( - 4x² - 3x - 5)

= 4x² + 3x + 5

Write

4 in the first box

3 in the second box

5 in the third box


Helppppp and explain thankyouuuu

Answers

Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

A shopkeeper allows discount of 12% on the marked price of a certain article and makes a profit of 10%. if the article costs the shopkeeper Rs.420. what price should be the marked price?​

Answers

Answer:

rs288

Step-by-step explanation:

MP of the article = 210×120100×10087.5= Rs.288210×120100×10087.5= Rs.288

Part of solved Discount questions and answers : >> Aptitude >> Discount

Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35

Answers

Answer:

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Step-by-step explanation:

Given the ordered version of the data:

10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35

. The stem is the tens digit and leaf is the unit digit of each data.

STEM ___ LEAF

1 _______0_ 7 _ 9 _ 9

2_______0 _ 4 _ 4 _ 6

3_______0 _ 2 _ 5 _ 5

Since there isn't any option given, then the row could be any of row values above.

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases

Answers

Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).
sketch a graph of this conic

Answers

Hello,

The conic is a parabola ,

vertex (-1,3)

focus : (-1,-2)

directrix: y=8

equation: y= - 1/20x²-1/10*x+59/20

solution in picture

The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is          y = -2.

What is a parabola?

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).

For the given situation,

The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]

The vertex is given by [tex]v(h,k)[/tex]

The focus is given by [tex]f(h,k-p)[/tex]

The equation of directrix is given by [tex]y=k+p[/tex]

The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]

On rearranging the given equation in standard form,

⇒ [tex](x+1)^{2} =-20y+60[/tex]

⇒ [tex](x+1)^{2} -60=-20y[/tex]

Divide by 20 on both sides,

⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]

⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]

On comparing the above equation with the standard form,we get

[tex]p=-5, h=-1, k=3[/tex]

⇒ [tex]k-p=3-(-5)\ =8[/tex]

Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.

Learn more about a parabola here

https://brainly.com/question/7492359

#SPJ2

EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day​

Answers

Answer:

66

Step-by-step explanation:

he uses 66 in one day

Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]

Answers

9514 1404 393

Answer:

  a) 230

  b) 300

  c) 2×10^-2

  d) 1.1×10^-6

Step-by-step explanation:

a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230

b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300

c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2

d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6

__

YMMV depending on how you do the rounding and approximate multiplication and division.

The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)

can you help me do this Question if you can?

Answers

Answer:

A

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

By rounding to 1 significant figure, estimate
7.57X3.81

Answers

Answer:

29

Step-by-step explanation:

7.57×3.81

round up to one decimal point=7.5×3.8

7.5×3.8 = 28.5

28.8 rounded up to 29


Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2

Answers

Given:

The inequalities are:

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

To find:

The graph for the given system of inequities.

Solution:

We have,

[tex]y>\dfrac{2}{3}x+3[/tex]

[tex]y\leq -\dfrac{1}{3}x+2[/tex]

The related equations are:

[tex]y=\dfrac{2}{3}x+3[/tex]

[tex]y=-\dfrac{1}{3}x+2[/tex]

Table of values

x                       [tex]y=\dfrac{2}{3}x+3[/tex]                        [tex]y=-\dfrac{1}{3}x+2[/tex]

0                             3                                           2

3                             5                                           1

Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].

Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].

In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.

[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.

Therefore, the required graph is shown below.

please answer asap ------------------ ------------------ ------------------ ------------------

Answers

Answer:

Answer :

It's 3v - 9/2

Step-by-step explanation:

....

(4, -6), (3, -8)
Find midpoint

Answers

(7/2,-7) ther I hope it help

Thank you for the help!

Answers

Answer:

see explanation

Step-by-step explanation:

cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{8}{17}[/tex]

sinM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{LN}{LM}[/tex] = [tex]\frac{15}{17}[/tex]

tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{LN}{MN}[/tex] = [tex]\frac{15}{8}[/tex]

A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area of each section of the circle

Answers

Answer:

The area of each section of the circle is 25\pi\ m^{2}25π m2

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}A=πr2

we have

r=10\ mr=10 m

substitute

A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2

To find the area of each section divide the complete area of the circle by 44

so

100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2

Graph: Y - 3 = 1/2 (x+2)

Answers

Answer:

see graph

Step-by-step explanation:

Personally I put into slope intercept form before graphing

y - 3 = 1/2 (x+2)

y -3 = 1/2x + 1

y = 1/2x + 4

4 is y-intercept    

1/2 is slope. [tex]\frac{Rise= 1}{Run= 2}[/tex]

2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the line whose equation is y = 2x + 5. Y =​

Answers

Answer:   y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

PLZ HELP its due soon!!!

Answers

Answer:

E)

Step-by-step explanation:

1) 6.50 (starting with his current wage)

2) 6.50 + 0.25 = 6.75 $

3) 6.75 + 0.25 = 7.00 $

4) 7.00 + 0.25 = 7.25 $

5) 7.25 + 0.25 = 7.50 $

6) 7.50 + 0.25 = 7.75 $

NUESTRA SENORA DEL ROSARIO
5. ¿Cuántos elementos tiene el espacio muestral? -36 Combone
6. ¿Cuál es la probabilidad de obtener al menos dos pilas de-
fectuosas?
7. ¿Cuál es la probabilidad de obtener a los sumo dos pilas
buenas?
8. ¿Cuál es la probabilidad de obtener una pila defectuosa?
9. ¿Cuál es la probabilidad de que las pilas sean defectuosas?​

Answers

No entiendo lo siento

help please what is the median

Answers

Answer:

The median is 9

Step-by-step explanation:

The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

which expression is equal to sin w

Answers

Answer:

A. Cos S

Step-by-step explanation:

Recall: SOH CAH TOA

Sin W = Opp/Hyp

Opposite = 4

Hypotenuse = 5

Sin W = 4/5

Let's find the ratio for each option given to determine which gives us the same ratio as Sin W.

Option A: Cos S

Cos S = Adj/Hyp = 4/5

Option B: tan W

Tan W = Opp/Adj = 4/3

Option C: cos W

Cos W = Adj/Hyp = 3/5

Option D: sin S

Sin S = Opp/Hyp = 3/5

✔️Thus, sin W = cos S = 4/5

The correct option is A

Please help me solve this problem I’m really struggling

Answers

Answer:

x × 3 + 5[tex]x^{2}[/tex] - x- 5

reorder the terms

3x + 5[tex]x^{2}[/tex] - x - 5

collect like terms

2x + 5[tex]x^{2}[/tex] - 5

reorder the terms

Solution

5[tex]x^{2}[/tex] + 2x -5

Answer:

[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]

Translate this sentence into an equation. 144 is the product of Diego's age and 9.

Answers

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*

Answers

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

[tex]|x-500|=8[/tex]

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

[tex]|x-500|=8[/tex]

It can be written as:

[tex]x-500=\pm 8[/tex]

Adding 500 on both sides, we get

[tex]x=500\pm 8[/tex]

Now,

[tex]x=500+8[/tex] and [tex]x=500-8[/tex]

[tex]x=508[/tex] and [tex]x=492[/tex]

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.

−5y+3x=3
−8y+9x=−12

What is X and Y please.

Answers

Answer:

( -4, -3 )

Step-by-step explanation:

Let's solve by elimination. Reason being there are no variables without coefficients.

−5y+3x=3     Multiply equation by 3. Each term.  

−8y+9x=−12

-15y + 9x = 9       Subtract the to equations

-8y  + 9x = -12

___________

-7y = 21

y = -3

Substitute y into original equation

-5(-3) + 3x = 3

15 + 3x = 3            Subtract 15 both sides

3x = -12                 Divide by 3, both sides

x = -4

Answer:

y=-3

x=-4

Check:

-5(-3)+3(-4) =3

15-12=3

3=3 ✅

-8(-3)+9(-4)=-12

24-36=-12

-12=-12✅

In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?

Answers

Answer:

D) 1:1

Step-by-step explanation:

Answer:
D). 1:1

Explanation:
It would be 90° to 90° which simplifies to 1:1

I hope this helped :)

Graph the integer 3 and its opposite on a number line.

Answers

the answer is C because it tells you to graph 3 AND the opposite which is -3

all in picture. math

Answers

Attempt 2
Improvement in this question means less time taken.
The biggest drop is from 1 to 2
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