If P = (-3,5), find the image
of P under the following rotation.
180° counterclockwise about the origin

Answer:

After 9 years the population would be 956. The exponential growth function would be [tex]x(956)=800_{0} (1+\frac{2}{100})^{9}[/tex]

Step-by-step explanation:

y=a(1+r)x

a = initial amount

r = growth rate as a decimal

x = number of time intervals passed (days, months, years)

y = amount after x time

This formula is used to express a function of exponential growth.

Answer and Step-by-step explanation:

In a polygon, when a shape is similar but dilated, the angles are still congruent.

Also, turn the pentagon QRSTP counterclockwise 90 degrees so it is upright and looks like pentagon ABCDE (making it easier to read).

A. The measure of angle P is 124 degrees, as it matches up with angle E.

B. To find the length of side r, we need to find the scale factor. We do this by looking at the given side on pentagon QRSTP (side RS) and match it with its similar side of pentagon ABCDE (side BC)

To find the scale factor, you divide the side of the bigger shape by the side of the smaller shape. For us, this results in the scale factor being 2.

Now, the similar side to r is side ED. We need to divide 7.5 by 2 to find r.

When doing so, we get r to be 3.75.

#teamtrees #PAW (Plant And Water)

The figure of the triangle is missing, so i have attached it.

Answer:

BC = 5.4

Step-by-step explanation:

From the attached triangle image, we are given 2 angles, but we need to find the third angle before we can find BC.

We know that sun of angles in a triangle is 180°.

Thus;

∠A = 180 - (∠C + ∠B)

∠A = 180 - (24 + 130)

∠A = 26°

Now, from sine rule, we can find BC.

BC/sin A = AB/sin C

Thus;

BC = (AB sin A)/sin C

BC = (5 × sin 26)/sin 24

BC = 5.389

Approximating to the nearest tenth gives;

BC = 5.4

Answer:

[tex](a)\ Ratio = 1.43[/tex]

[tex](b)\ Ratio = 0.864[/tex]

Step-by-step explanation:

Given

[tex]French\ Week= 10\ days[/tex]

[tex]French\ days= 10\ hours[/tex]

[tex]French\ hours= 100\ minutes[/tex]

[tex]French\ minutes= 100\ seconds[/tex]

Solving (a): Ratio of french minute to standard week

This is calculated as:

[tex]Ratio = \frac{French\ week}{Standard\ week}[/tex]

[tex]Ratio = \frac{10\ days}{7\ days}[/tex]

[tex]Ratio = \frac{10}{7}[/tex]

[tex]Ratio = 1.43[/tex]

Solving (b): Ratio of french second to standard second

This is calculated as:

[tex]Ratio = \frac{French\ second}{Standard\ second}[/tex]

Convert french days to seconds

[tex]French\ days= 10\ hours[/tex]

[tex]French\ days = 10hr * 100mins/hr * 100secs/min[/tex]

[tex]French\ days = 10 * 100 * 100secs[/tex]

[tex]French\ days = 100000\ secs[/tex]

This gives:

[tex]French\ second = \frac{1}{100000}day[/tex]

For standard day, we have:

[tex]Standard\ second = \frac{1}{86400}day[/tex]

So, we have:

[tex]Ratio = \frac{1/100000}{1/86400}[/tex]

Rewrite as:

[tex]Ratio = \frac{1}{100000} \div \frac{1}{86400}[/tex]

[tex]Ratio = \frac{1}{100000} * \frac{86400}{1}[/tex]

[tex]Ratio = \frac{86400}{100000}[/tex]

[tex]Ratio = 0.864[/tex]

Answer:

65°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.

(2x-9) + (2x+4) + x = 180

Combine like terms:

5x-5 = 180

5x = 185

x = 37

P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65

Answer:

B

Step-by-step explanation:

Answer:

Radius is 4.297

Step-by-step explanation:

Hieght=5

Surface Area=251

Answer:

Its r = 3.99898596 in

Step-by-step explanation:

It should be the answer if the volume is 251.2. But it confuses people like is it 251 2 or 251.2. Hope that helps

Answer:

146 didn't vote

Step-by-step explanation:

With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;

I've tabulated it in the attached excel document;

First, there are 50 votes for A, B, C and D;

Then there are 100 votes for B, C and D;

Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;

This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;

This is done for all the options where students voted for 3 of the 4;

For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;

So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;

The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;

We do the same for all those who vote for 2 of the 4;

For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;

And similarly, we do the same for A, B and C as well;

Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);

This gives us:

2996 - 2850 = 146

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is  values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

Answer: 690 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+35+3x+15=90(being perpendicular)

5x+50=90

5x=90-50

x=30/5

x=6

Angle N=2x+35

=2*6+35

=12+35

=47 degree

Answer:

Hannah has 56

Step-by-step explanation:

Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.

Answer:

4x+4

Step-by-step explanation:

F(x)=3x+1, h(x)=x+3

f(x)+h(x) = 3x+1 +x+3

             =4x+4

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where they intersect

The graphs intersect and (-3,-3) and at (0,6)

9514 1404 393

Answer:

  3

Step-by-step explanation:

The common difference of an arithmetic sequence is the slope of the equation that describes it. The slope formula is useful in this case:

  m = (y2 -y1)/(x2 -x1)

  m = (219 -213)/(4 -2) = 6/2 = 3

The common difference of the corresponding arithmetic sequence is 3.

Answer:

Answer is Option A

Step-by-step explanation:

3 / 2 x - 1 /2

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

D

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] ( - [tex]\frac{3}{2}[/tex] x + 6x + 1) - 3x ← distribute parenthesis

= [tex]\frac{3}{4}[/tex] x - 3x - [tex]\frac{1}{2}[/tex] - 3x

=  [tex]\frac{3}{4}[/tex] x - 6x - [tex]\frac{1}{2}[/tex]

= [tex]\frac{3}{4}[/tex] x - [tex]\frac{24}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - [tex]\frac{21}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - 5 [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] → D

Answer:

90 degrees.

Step-by-step explanation:

You have two lines that will never intersect. You are cutting the line into two pieces. A line is 180 degrees. Half of 180 is 90.

Answer:

( 1 , ∞ )

Step-by-step explanation:

Interval notation rounds up to infinite

Answer:

its the last one

Step-by-step explanation:

15x + 20 = ≤ 100

this means 15 times how many t-shirts + 20 is less than or equal to 100, which represents the question.

Answer:

3

Step-by-step explanation:

y = mx + b

m = slope

In this equation,

m = 3

Thus, the slope, or m, is 3.

General equation for slope-intercept form

y=mx+C

where m is slope

Comparing the given eqn y=3x

m= 3

Therefore, slope = 3

Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

Answer:

4.93 cm 475.9 mm 4.5 m 47.3 m

Step-by-step explanation:

mmmmmmmmmmmmmmmmmmmmmmm

Answer:

1,24 2,12 3,8 4,6

Step-by-step explanation:

that's all of them

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]