Write the following using index notation:

a)2 x 2 x 2

b)x3 x 3 x 3 x 3

c)4 x 4 x 4 x 5 x 5

d)9 x 7 x 9 x 9 x 7 x 9​

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Answer:

$20

Step-by-step explanation:

The original price is p.

Now, a discount of 15% is = 100%-15% = 85% of the original price.

0.85p = 17

p = 17/0.85

p = 20

$20

Answer:

if you want the exact number that will be 3.3 but if you want it rounded it will be 4

Answer:

i'll try my best to help !!

Answer:

See answers below:

Step-by-step explanation:

Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:

<1 = 75 degrees

<2 = 105 degrees

<3 = 44 degrees

<4 = 136 degrees

<5 = 44 degrees

<6 = 90 degrees

<7 = 46 degrees

<8 = 75 degrees

<9 = 105 degrees

<10 = 75 degrees

<11 = 59 degrees

<12 = 46 degrees

<13 = 75 degrees

<14 = 105 degrees

<15 = 44 degrees

<16 = 136 degrees

<17 = 44 degrees

<18 = 136 degrees

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Answer:

Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)

Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)

Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).

None go under Same.

Step-by-step explanation:

In case you're confused:

The line labeled f goes with g. The line labeled q goes with r.

(f, g) is red.

(eq1, h) is orange.

(eq2, eq3) is yellow.

(p, eq4) is green.

(q, r) is blue.

All lines are in the attachment below.

Answer:

33 is the mode of these numbers.

Step-by-step explanation:

The only number which appears multiple times is 33, so it is the mode.

I hope it helps ❤❤

Answer: I disagree

Step-by-step explanation:

I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.

For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:

= -2^3 = -2 × -2 × -2 = -8

In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.

denoted 5

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

Answer:

-3r^2+5r+4rs-s^2

Step-by-step explanation:

expand the brackets

and collect like terms

Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

Answer:

yes

Step-by-step explanation:

I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.

I hope the graph helps.

Answer:

1) 8x^2-10x-7

2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]

3) -10y^6 - 45y^5 + 25y^4

4) 30x^9 - 60x^5

5) 30x^9 - 60x^5

Step-by-step explanation:

1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.

2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x

1(4x-7) = 4x-7.

8x^2-14x+4x-7 = 8x^2-10x-7

2) 10[tex]x^{5}[/tex](3x^4-6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]

3) -5y^4(2y^2+9y-5)

-5y^4(2y^2) = -10y^6

-5y^4(9y) = -45y^5

-5y^4(-5) = 25y^4

-10y^6 - 45y^5 + 25y^4

4) 10x^5(3x^4 - 6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30x^9 - 60x^5

5) (3y - 5z)(8y - 3z) =

3y*8y = 24y^2

3y*(-3z) = -9yz

-5z(8y) = -40yz

-5z(-3z) = 15z^2

24y^2 + 15z^2 - 49yz

Answer:

I say 1. and 2

Step-by-step explanation:

Have a good day :3

Answer:

4, 5 is the point and I don't think there is a remainder

Step-by-step explanation:    

The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).

∴ f(3) = 4(3)³ + 5.

f(3) = 4(27) + 5.

f(3) = 108 + 5.

f(3) = 113.

So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

learn more about factors here :

https://brainly.com/question/28315959

#SPJ2

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

Given:

The expression is

[tex]x+4x-3+3x^2-2x[/tex]

To find:

The value of given expression when x=5.

Solution:

We have,

[tex]x+4x-3+3x^2-2x[/tex]

Substituting x=5 in the above expression, we get

[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]

[tex]=5+20-3+3(25)-10[/tex]

[tex]=5+20-3+75-10[/tex]

On further simplification, we get

[tex]=(5+20+75)+(-3-10)[/tex]

[tex]=100+(-13)[/tex]

[tex]=100-13[/tex]

[tex]=87[/tex]

Therefore, values of the given expression at x=5 is 87.

Answer:

$837.5

Step-by-step explanation:

Step one:

given data

He makes a guaranteed salary of $400 per week

Commision on top of his base salary equal to 25% of his total sales for the week

Required

His total salary when he made sales of 25%

Step two

let us solve for 25% of $1750 made

=25/100*$1750

=0.25*$1750

=$437.5

Hence his total payment for the week will be

=$400+$437.5

=$837.5

Also, if the sales is $x his pay would be

let y be his pay

y=0.25x+400

Answer:

2,721,911.31

Step-by-step explanation:

The formula for Population growth rate is given as:

P(t) = Po(1 + r)^t

Where

Po = Initial population = 1,300000

P(t) = Population after t years

r = growth rate = 3%

t = time in years = 25

Hence,

P(25) = 1,300,000(1 + 0.03)^25

P(25) = 2,721,911.3086

P(25) Approximately = 2,721,911.31

The projected population of the county be in 25 years is 2,721,911.31

Answer:

The answer is 0

Step-by-step explanation:

Or c on edge.

Answer:

The last part.

Step-by-step explanation:

The error is only at the last part. Basically the answer part.

The answer should be —

[tex]13 \sqrt{5} [/tex]

We don't multiply the square roots when adding or subtracting. That'd contradict the rules.

Here, we let the square root of five as x-term.

[tex] \sqrt{5} = x[/tex]

[tex]4 \sqrt{5} + 9 \sqrt{5} = 4x + 9x[/tex]

As we add up, we would get 13x. Thrn we convert x-term back to square root of five.

The answer would be —

[tex]13x \\ x = \sqrt{5} \\ 13 \sqrt{5} [/tex]

Remember that we don't multiply the square roots when adding or subtracting.

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

Answer: 25 cars

Step-by-step explanation:

This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.

The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.

The line in the middle of the box is the median or Q2.

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 * 25%

= 25 cars

Answer:

25 cars

Step-by-step explanation:

Took the diagnostic

Answer:

Angle 1, 4, 5,7,10,12,13,15 : 133°

Angle 2,3,6,8,9,11,14,16 :47°

Step-by-step explanation:

Answer:

Step-by-step explanation:

So

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

Answer:

.0024

Step-by-step explanation:

3 = 225 x 5k

3/255 = 5k

5k = 0.117

k=0.0024