simplify the expression (c^7)^9(c^0)^5

Answer:

Profit % on skates = 8.7 %

Step-by-step explanation:

Step 1 : Find cost price of skates

Cost price of helmet = £45

Let cost price of skate be = x

Selling price = £224

Cost price = (x + 45)

Total profit % = 40%

[tex]Profit \% = \frac{Selling \ price - cost \ price }{Cost \ price} \times 100[/tex]

[tex]\frac{40}{100} = \frac{224 - (x + 45)}{(x + 45)}\\\\40(x+ 45) = 100(224 - (x +45))\\\\40(x + 45) = 22400 - 100(x + 45)\\\\40(x +45) + 100(x+ 45) = 22400\\\\140(x + 25) = 22400\\\\x + 45 = \frac{22400}{140}\\\\x = 160 - 45 = \£ \ 115[/tex]

Total cost price = 45 + 115 = £160

Step 2 : Selling price of Helmet

Cost price of Helmet = £45

Let selling price of helmet be = y

Profit % of helmet = 120 %

[tex]Profit \% = \frac{selling \ price - cost \ price}{cost \ price}[/tex]

[tex]\frac{120}{100} = \frac{y -45}{45}\\\\\frac{120 \times 45}{100} = y -45\\\\54 = y - 45\\\\99 = y[/tex]

Step 3 : Selling price of skates

Total selling = selling price of helmet + selling price of skates

224 = 99 + selling price of skates

224 - 99 = selling price of skates

125 = selling price of skates

Step 4 : Profit percentage on skates

Cost price of skate = £ 115

Selling price of skate = £ 125

[tex]Profit \% \ on \ skates = \frac{selling\ price- cost \ price }{cost \ price} \times 100[/tex]

                           [tex]= \frac{125-115}{115} \times 100\\\\=\frac{10}{115} \times 100\\\\= 8.7 \%[/tex]

Answer:

x = -5y

Step-by-step explanation:

x = ay

-10 = 2a

a = -5

x = ay

-15 = 3a

a = -5

x = ay

-25 = 5a

a = -5

Answer:

The cost per printer is $240 and the cost per computer is $530

Explanation:

Make the equation from both parts of the problem and solve them.

Answer:

3 feet

Step-by-step explanation:

A = l x w                    Formula

18.9 = 6.3 x w           Substitution

18.9/6.3 = w              Division

3 = w                         Solution

Answer:

D. 3

Step-by-step explanation:

Distance between A and D = AD = 9 units

Distance between A and B = AB = 3 units

[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]

Simplify by dividing

[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]

[tex] \frac{AD}{AB} = 3 [/tex]

The answer is 3

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

Answer:

P = $98.77

Step-by-step explanation:

FV = p (1+i)^n -1

            i

pv = 700,000

i = .075/12 = .00625

n = (66 - 15)* 12 = 612

700,000 = P (( 1 + .00625)^ 612 -1 /.00625

4375 = P (1.00625)^612 -1)

P = $98.77

Answer:

page 1:

51 years

$98.78

639546.64 (i think)

Page 2:

213 months

17.8 years

321 months

26.8 years

1128.9 months

88.8 years

I would probably choose the second plan because it's rather unlikely that i live past 90

Step-by-step explanation:

page 1

Let's assume the payments are at the end of the month

66-15= 51 years

effective rate: .075/12=.00625

[tex]700000=x\frac{(1+.00625)^{51*12}-1}{.00625}\\x=98.77973387[/tex]

which i guess we can round to 98.78

700000-98.78*(51*12)= 639546.64

This number is really really high and so maybe you want to double check it

page 2

effective rate: .051/12=.00425

[tex]700000=5000\frac{1-(1+.00425)^{-n}}{.00425}\\.405=(1+.00425)^{-n}\\log_{1.00425}.405=-n\\n=213[/tex]

213 months

213/12= 17.8 years

[tex]700000=4000\frac{1-(1+.00425)^{-n}}{.00425}\\.25625=(1.00425)^{-n}\\log_{1.00425}.25625\\n=321[/tex]

321 months

321/12=26.8 years

[tex]700000=3000\frac{1-(1+.00425)^{-n}}{.00425}\\.008333333=(1.0045)^{-n}\\log_{1.0045}.00833333=-n\\n=1128.9[/tex]

1128.9 months

1128.9/12= 94.1 years

1066 months

1066/12= 88.8 years

Answer:

z=1.96

Step-by-step explanation:

Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.

(above value obtained from R)

Answer:

54 pounds

Step-by-step explanation:

To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.

Answer:

D) 20%-24%

Step-by-step explanation:

The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.

Answer: A. 22%-24%

Step-by-step explanation:  There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)

Answer:

The only true statement is:

"The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution."

Step-by-step explanation:

First, some definitions.

A system of linear equations has infinite solutions if both equations define the same line, has no solutions if we have two parallel lines, has one solution in all the other cases.

Where two lines are parallel if we can write them as:

a*x + b*y = c

a*x + b*y = d

where c and d are different numbers.

Now we can analyze the given statements:

a)

6x - 5y = 8

12x - 10y = 16

has no solution?

If we divide both sides of the second equation by 2, we get:

(12x - 10y)/2 = 16/2

6x - 5y = 8

We get the first equation, then both equations define the same line, thus the system has infinite solutions, then the statement is false.

b)

7x + 2y = 6

14x + 4y = 16

has infinite solutions?

Let's divide the second equation by 2, then we get:

(14x + 4y)/2 = 16/2

7x + 2y = 8

If we rewrite our system of equations, we get:

7x + 2y = 6

7x + 2y = 8

These are parallel lines, thus, this system has no solutions.

So the statement is false.

c)

8x - 3y = 10

16x - 6y = 22

has no solution?

Again, let's divide the second equation by 2 to get:

(16x - 6y)/2 = 22/2

8x - 3y = 11

If we rewrite our system:

8x - 3y = 10

8x - 3y = 11

These are parallel lines, thus the system has no solutions, so this statement is correct.

d)

9x + 6y = 14

18x + 12y = 26

Has infinite solutions?

Dividing the second equation by 2 we get:

(18x + 12y)/2 = 26/2

9x + 6y = 13

So the equations are different (are parallel lines again) so this system has not infinite solutions.

Then the statement is false.

Answer:

The answer to your question is the third choice.

Step-by-step explanation:

a)          6x - 5y = 8

          12x - 10y = 16

We observe that these lines are the same so they have infinite solutions.

b)

           7x + 2y = 6

          14x + 4y = 16

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

c)

            8x - 3y = 10

           16x - 6y = 22

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

d)

           9x + 6y = 14

          18x + 12y = 26

These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.

Answer:

B-2

Step-by-step explanation:

To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2

Answer:

[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]

Answer:

try me

Step-by-step explanation:

try these nuts

Answer:

lol

Step-by-step explanation:

Answer:

4x^2 + 2x + 4

Step-by-step explanation:

5x^2 + 2x + 4 - x^2

4x^2 + 2x + 4

Answer:

2(2x^2 + x + 2)

Step-by-step explanation:

5x^2+2x + 4-x^2

Re arrange so like terms are next to each other

Keep the same symbol that is at the front of the term when moving it

5x^2 - x^2 + 2x + 4

We will just do the first part first

5x^2 - x^2

5x^2 - 1x^2 (is the same thing as above)

So because they are like terms (are both x^2)

We can just minus 1 from 5

5-1=4

So 4x^2

Now the equation is

4x^2 + 2x + 4

This is as small as it gets but you can also bring it to this

4, 2 and 4 all are divisible by 2 so

2(2x^2 + x + 2)

No, x²+y²= 9 does not represent y as a function of x.

For x= 0,

y²= 9

=>y= ±3,

i.e y has two values +3 and -3

Since single value of x , there are two values of y

For an equation or relation to be function every element in domain( every value of x) there should one distinct value or image in co-domain (one value of y)

Answer:

[tex]\displaystyle x \approx 9.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 64°

Opposite Leg = x

Hypotenuse = 11

Step 2: Solve for x

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Answer:

20

Step-by-step explanation:

[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]

Answer:

10km per hour

Step-by-step explanation:

Distance = speed * time

speed = distance/time

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

Distance traveled

25 + 30 + 35 = 90 km

Time

2 + 3 + 4 = 9 hours

Average peed

90/9 = 10km per hour

Answer:

y=-2x-2

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

answer the question

Answer:

f(d)=0.1d^2+d+2

Step-by-step explanation:

t(d)=−0.2d2+4d+12

a(d)=−0.3d2+3d+10

how many more teenagers than adults attend the festival on any day?

==>

f(d) = t(d) - a(d)

=0.1d^2+d+2

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

Answer:

0.6

Step-by-step explanation:

The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse

= |AB| / |AC|

= 12/20

= 3/5

= 0.6

so the answer is 0.6

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

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

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

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

The line that is parallel to ​ line CD ​ in the figure is A. Line FA

From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.

Parallel lines are lines on a flat surface that never meet or cross each other.

When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.

Some properties of parallel lines include:

From the given figure, we can see that FA||CD.

Learn more about parallel lines at brainly.com/question/30195834

#SPJ1

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {z}^{2} - 4z + 4[/tex]

[tex] = {z}^{2} - 2z - 2z + 4[/tex]

Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have

[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]

Taking the factor [tex](z-2)[/tex] as common,

[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]

[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]

[tex] = ({ \: z - 2 \: })^{2} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]