I also got stuck on this one.

Answer:

Step-by-step explanation:

7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )

Distribute 7 through the parentheses

7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)

Distribute -9 though the parantheses

7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)

Distribute 3 through the parantheses

7r - 14 - 9r + 9 = 15 - 3r + r - 8

When there is (+) in front of an expression in parentheses, the expression remains the same

7r - 14 - 9r + 9 = 15 - 3r + r - 8

Collect like terms

7r - 9r - 14 + 9 = 15 - 3r + r - 8

-2r - 14 + 9 = 15 - 3r + r - 8

Calculate

-2r- 5 = 15 - 3r + r - 8

Subtract the number

-2r - 5 = 7 - 3r + r

Collect like terms

-2r - 5 = 7 - 2r

Cancel equal terms on both sides of the equation

- 5 = 7

The statement is False for any value of X.

Hence, there is no solution.

Hope this helps...

Good luck on your assignment...

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

Answer: (0, -28)

Step-by-step explanation:

Turn this equation into slope-intercept form.

y-2=5x-30

y=5x-28.

Because the y-intercept is -28, the point (0,-28) must be on the line.

Hope it helps <3

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

Answer: d. $2.38

Step-by-step explanation:

Exponential decay function: [tex]Ab^x[/tex], where A = initial value

x= Time mperiod

b = multiplicative decay rate

As per given, we have

A = 38 dollars

b= 0.5

Amount after x years : [tex]38(0.5)^x[/tex]

Then, at x= 4

Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]

[tex]=2.375\approx2.38[/tex]

Hence, the worth of electric can opener after 4 years = $2.38.

So, correct option is d. $2.38

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

Answer:

7 cm

Step-by-step explanation:

The area of a right triangle is given by

A = 1/2 bh

21 = 1/2 y* 6

21 = 3y

Divide each side by 3

21/3 = 3y/3

7 = y

The base is 7 cm

Area formula: A = bh/2

We have a height of 6, a base of y, and a area of 21.

Fill in and solve:

21 = y * 6 / 2

21 = 6y/2

21 = 3y

7 = y

Therefore, the base is 7

Best of Luck!

Answer:

see below

Step-by-step explanation:

f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5

f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559

g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72

h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337

Answer:

Option A and C

Step-by-step explanation:

An isosceles triangle have:

=> Two equal angles

=> Two sides with the same length

Answer:

A & C

Step-by-step explanation:

The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Answer:

2.5

Step-by-step explanation:

42/16.8=2.5

Answer:

w=A/I

2.5in

Step-by-step explanation:

This is the full answer

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.

It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.

Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:

= 32 + 115 + 33

= 180°

Read related link on:

https://brainly.com/question/16942878

Answer:

Step-by-step explanation:

It's B

Answer:

130

Step-by-step explanation:

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

Answer:

it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket

Answer:

A

Step-by-step explanation:

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

Answer:

1 team = 10 players

7 teams = 7×10 players

= 70 players

drop out players:

1 team = 2 players

7 teams = 2×7

= 14 players

how many left ?

= total players - drop out players

= 70 - 14

= 56 players

Answer:

10 and 11

Step-by-step explanation:

[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]

The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

Answer:

Between 10 and 11

Step-by-step explanation:

10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.

Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Step-by-step explanation:

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

Answer:

Step-by-step explanation:

The volume for a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so

[tex]V=\frac{4}{3}\pi (21)^3[/tex] and

[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:

[tex]V=\frac{116318.16}{3}[/tex] and divide to get that

V = 38772.72 in^3

Answer:

Step-by-step explanation:

0.2(20)+6-4(1/2)=4+6-2=8

Answer:

0.2(20)+6-4(112)=4+6-2=8

Answer:

$4.18 dollars per pound

Step-by-step explanation:

We can find the price in dollars per pound by dividing the cost by the number of pounds:

14.63/3.5 = 4.18

This means the price in dollars per pound is $4.18

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

there are 8 numbers

we want one of them (number 4)

which is 1 in 8

that is:

[tex] \frac{1}{8} [/tex]

Answer:

3 mm

Step-by-step explanation:

Answer:

You have to multiply all the sides by 4.

B to C = 2.8*4

2.8 * 4 = 11.2

B to A = 3*4

3*4 = 12

A to C = 2.2*4

2.2*4 = 8.8

Hope this helped!