Simplify the following leave the answer in radical notation:

Please explain!!

1. Square root of (125x^2y^7)

2. Cubed root of (24x^3y8)

Answer:

93km/hr

Step-by-step explanation:

Using the formula Speed = Distance/Time. From the formula we can substitute for time as shown;

Time = Distance/Speed

Let the distance and speed  travelled by Mia be Dm ans Ds respectively

Distance travelled by Kirk be Km and and Ks respective.

Time taken be Mia to travel Tm = Dm/Sm

Time taken be Kirk to travel Tk = Dk/Sk

Since it takes the same length of time for both of them to travel, then Tm = Tk. Hence Dm/Sm = Dk/Sk

Given parameters

Dm = 558 kilometers

Dk = 522 kilometres

If Mia’s average driving speed is 6 kilometers per hour faster than Kirk’s, then Mia's driving speed Sm = 6 + Sk

Required

Mia’s average speed (Sm)

Since Dm/Sm = Dk/Sk

Substituting the given values to get Sk first we have;

558/6+Sk = 522/Sk

Cross multiply

558Sk = 522(6+Sk)

open the parenthesis

558Sk = 3132 + 522SK

558Sk-522Sk = 3312

36Sk =3132

Sk = 3132/36

Sk =87km/hr

SInce Sm = 6+Sk

Sm = 6+87

Sm = 93km/hr

Hence Mia's average speed is 93km/hr

Answer:

8 nickels

Step-by-step explanation:

Let n be the number of nickels.

4: (2+ 6 + 4 + n) = 1:5

4÷(12 + n) = 1÷5

4 x 5 = 1 x (12 + n)

20 = 12 + n

n = 8

Answer:

[tex]W(t)=5(2^t)[/tex]

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

[tex]W(t)=ab^t[/tex].

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]

Since the weight double every week, b = 2. The exponential function is given as:

[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]

Answer:

[tex]16x^{2} -42x+5[/tex]

Step-by-step explanation:

Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]

Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]

Formula to form a quadratic polynomial:

[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]

p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex][16x^{2} -42x+5][/tex]

The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]

Answer:

A

Step-by-step explanation:

It have the same sides!

Answer:

5

Step-by-step explanation:

The easiest way to do this is to add the new members to the old and then divide by 11. Ignore the remainder.

13 + 52 = 65

65 / 11 = 5 with 10 left over. Ignore the 10. That's not a complete team.

The answer is 5

Answer:

B

Step-by-step explanation:

We can graph the line using the y and x-intercepts. To find the y-intercept, we substitute x = 0 into y = -2x - 2 so the y-intercept is (0, -2). To find the x-intercept, we substitute y = 0 into y = -2x - 2 so the x-intercept is (-1, 0). The line that goes through both of these points is line B.

Answer:

B.

Step-by-step explanation:

Here's a picture of me graphing it:

Sorry for dark mode :/

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

Answer:

38.5 miles

Step-by-step explanation:

We know that the distance between Mia's house and her aunt's house is 15.4 inches apart.

We also know that every 4 inches on the map represent 10 miles.

4 inches = 10 miles

Divide :

1 inch = 2.5 miles

Multiply the shown distance in the question by the amount of miles per inch

15.4 * 2.5

= 38.5 miles in total.

Answer:

C.)38.5

Step-by-step explanation:

It took the exam:P

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

Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

Answer:

(2x+5)² or (2x+5)(2x+5)

Step-by-step explanation:

4x²+ 20x + 25

(2x       ) (2x      )     first step 2x*2x=4x²

(2x  +  5   )(2x  +   5  )  the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.

(2x+5)²

Answer:

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

Step-by-step explanation:

In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.

Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.

On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.

Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.

This shows that, as month number increases, number of minutes decreases.

Answer:

67°

Step-by-step explanation:

● cos<PQR = adjacent/hypotenus

● cos<PQR = 5/13

● cos< PQR = 0.384

Using a calculator:

● cos^-1(0.384) = 67°

● <PQR = 67°

Answer:

3T=504

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

I'm pretty sure the answer is 6.92 cause when you simplify it you'll get that exact answer

Answer:

D 6.92

Step-by-step explanation:

6.920 and 6.92 are equal

Answer:

Question 1: $100

Question 2: Myself

Question 3: Yes, because you get to buy things you might have been wanting, or saving up for.

Question 4: Yes, because its an easier way of shopping, and gets sent straight to your home.

Step-by-step explanation:

Hope this helps.

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

An equation is an expression that shows the relationship between two or more numbers and variables.

The straight line passing through (0, 0) and (3, 2) have an equation of y = (2/3)x while the straight line passing through (0, 0) and (4, -3) have an equation of y = (-3/4)x

The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).

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Answer:

Relation (But not a function) Your welcome.

Step-by-step explanation:

Answer:

This means that because of this month Seth's investment income has decreased by 261, and now is $140.

401-261=140

Answer:Seth lost money

Step-by-step explanation:

Since the investment income was $401

And now is -261 meaning that Seth lost money last month

Answer:

y-8=16(x-9)

Step-by-step explanation:

slope m=y2-y1/x2-x1

m=8+8/9-8 ⇒ m=16

y-8=m(x-x1)

y-8=16(x-9)

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are given below.

(8, −8) and (9, 8)

The equation of the line that is passing through (8, −8) and (9, 8) will be given as,

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

Simplify the equation, then we have

(y + 8) = [(8 + 8) / (9 − 8)](x − 8)

(y + 8) = 16(x − 8)

y + 8 = 16x − 128

y = 16x − 120

The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.

More about the line passing through two points link is given below.

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Answer:

45 is the father's age

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

Answer:

Step-by-step explanation:

[tex]-8+4x-12=-4\left(2x-8\right)\\\\\mathrm{Group\:like\:terms}\\\\\mathrm{Subtract\:the\:numbers:}\:-8-12=-20\\\\4x-20=-4\left(2x-8\right)\\\\\mathrm{Expand\:}-4\left(2x-8\right):\quad -8x+32\\4x-20=-8x+32\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\4x-20+20=-8x+32+20\\\\Simplify\\\\4x=-8x+52\\\\\mathrm{Add\:}8x\mathrm{\:to\:both\:sides}\\\\4x+8x=-8x+52+8x\\\\\mathrm{Simplify}\\\\12x=52\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{52}{12}\\\\x=\frac{13}{3}[/tex]

Answer:

Step-by-step explanation:

-8+4x-12 =-8x+32

4x+8x=32+8+12

12x=52

x=52\12

x=41.3

Michael is drawing a card from a standard 52-card deck, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which cards he drew, and returns it to the deck. He draws an ace 240 times

Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?

Answer:

Step-by-step explanation:

From the information:

Let consider the following variables,

assume p to be the number of times an ace was drawn,

also, q should be the number of aces  and r to be the number of outcomes.

Thus ;

[tex]\mathtt{r = \dfrac{p}{q}}[/tex]

where;

p = 240

q = 4

[tex]\mathtt{r = \dfrac{240}{4}}[/tex]

r = 60

It is literally unlikely that exactly 25% of the drawings are going to be the ace of hearts, therefore, the best answer will be 60 or the value closest to 60

Answer:

the mixed form is 28 [tex]19/100[/tex]

the improper form is ( 28 x 100) = 19 / 100

2819 / 00

Boy = x

His Sister = y

Father = z

x = 2*y  

y = x/2

x = z-30 or z = x+30

3.8 m = 380 cm

x+y+z = 380

x + x/2 + x+30 = 380

multiply by 2

2x +x + 2x +60 = 760

5x = 700

x = 140 cm

y = x/2

 = 140 /2 = 70 cm

z = x+30

 = 140 + 30 = 170 cm

There  

x (Boy)             = 140 cm

y (His Sister)  = 70 cm

z (Father)        = 170 cm

Using an appropriate equation, the boy's height is 140  cm.​

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let Boy = x and His Sister = y

Father = z

So, x = 2*y  

y = x/2

x = z-30 or z = x+30

Now, substitute

3.8 m = 380 cm

Equation form;

x+y+z = 380

x + x/2 + x+30 = 380

then multiply by 2

2x +x + 2x +60 = 760

5x = 700

x = 140 cm

Thus,

y = x/2 = 140 /2 = 70 cm

z = x+30 = 140 + 30 = 170 cm

There  are x (Boy) = 140 cm

y (His Sister)  = 70 cm

z (Father)   = 170 cm

Hence, Using an appropriate equation, the boy's height is 140  cm.​

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Answer:

hey good

Step-by-step explanation:

Answer:

16% of MP

Step-by-step explanation:

Key concepts to learn :

Discount is always applied on marked price.

Profit = SP - CP

VAT is applied on Selling Price

SP = 10170/113 x 100 = 9000

If profit is 20% then :

CP = 9000/120 x 100 = 7500

MP = 9000/90 x 100 = 10000

For 12% profit, SP = 7500 x 112/100 = 8400

=> SP = 8400/10000 x 100 = 84% of MP

=> Discount = 16% of MP

Answer:

x = (y + 26)/5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

y + 6 = 5(x - 4)

Step 2: Distribute

y + 6 = 5x - 20

Step 3: Isolate x

y + 26 = 5x

Step 4: Isolate variable x

(y + 26)/5 = x

Step 5: Rewrite

x = (y + 26)/5

Answer:

y = 5x - 26

Step-by-step explanation:

Since x is the independent variable, you have to solve for y.

y + 6 = 5(x-4)

Now distribute:

y + 6 = 5x - 20

subtract the 6 from both sides

y + 6 - 6 = 5x - 20 - 6

y = 5x - 26

Answer:

[tex]\huge\boxed{The\ area\ of\ square\ is\ greater.}[/tex]

Step-by-step explanation:

Perimeter of Square:

P = 4(Length)

P = 4(40)

P = 160 cm

This means that the rectangle also has a perimeter of 160 cm

So, Finding the width of rectangle by Perimeter formula:

2L + 2W = Perimeter

2(50) + 2W = 160

100 + 2W = 160

Subtracting 100 to both sides

2W = 60

Dividing both sides by 2

W = 30

Now, Area of Square:

Area = Length * Length

Area = 40 * 40

Area = 1600 cm²

Area of Rectangle:

Area = Length * Width

Area = 50 * 30

Area = 1500 cm²

When we compare both of the area of the figure, we come to know that the area of square is greater.