Select the correct answer from each drop-down menu.
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____
If point D divides in the ratio 4 : 5, the coordinates of point D are ____
(fraction)

Answers

Answer 1

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be [tex](x_2,y_2)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\[/tex]

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be [tex](x,y)[/tex]

Coordinates of A =[tex](x_1,y_1)=(-6,5)[/tex]

Coordinates of B=[tex](x_2,y_2)=(10,-4)[/tex]

We will use section formula over here

[tex]x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}[/tex]

m:n=3:2

[tex]x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4[/tex]

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Answer 2

Answer:

B is (10, -4), and D is (58/9, -2)

Step-by-step explanation:


Related Questions

In converting 750 ounces to pounds, what unit (omit the number) would you

place in the denominator of your ratio? Use the plural form in your answer.

Remember that there are 16 ounces in 1 pound.

Answers

Answer:

I would use the pounds.

Step-by-step explanation:

The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.

750 ounces          16 ounces

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

  x pounds              1 pound

Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!

Which side lengths form a right triangle?

Answers

Answer:

B. 5, 12, 13

Step-by-step explanation:

√5²+12²=13 - yes

√4²+7²= 8.06- no

√20²+22²=29.73 - no

Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x​

Answers

Answer is B y = sin x

Answer:

B. y = sin x

Step-by-step explanation:


2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?

Answers

Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

How many 3-digit even numbers are there that begin with either 5 or 6?

Answers

Answer:

100 numbers

Step-by-step explanation:

There are 100 numbers with 5 as the hundreds digit. (500-599)

There are 100 numbers with 6 as the hundreds digit. (600-699)

There are 50 even numbers with 5 as the hundreds digit.

(500, 502, 504, ... , 598)

There are 50 even numbers with 6 as the hundreds digit.

(600, 602, 604, ... , 698)

50+50=100 numbers

if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab))
O (a - b)^)
O (a + b)(x)

Answers

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

Data provided in the question

a(x) = 2x - 4

b(x) = x + 2

Now we go through each options

First option

[tex](ab)(x)=(2x-4)(x+2)[/tex]

[tex]=2(x-2)(x+2)[/tex]

[tex]=2(x^2-4)[/tex]

[tex]=2x^2-8[/tex]

Second option

[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]

Third option

[tex](a-b)(x)=(2x-4)-(x+2)[/tex]

[tex]=2x-4-x-2[/tex]

= x - 6

Fourth option

[tex](a+b)(x)=(2x-4)+(x+2)[/tex]

[tex]=2x-4+x+2[/tex]

= 3x - 2

As we can see from the above options only option A is correct i.e it only produced a quadric function

Can someone help me find what the highlighted part came from?

Answers

Answer:

[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]

[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]

[tex]\cos(2\pi) = 1[/tex]

The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.

27. Solve the equation.

Answers

Answer: r=-56

Step-by-step explanation:

multiply 7 on both sides

[tex]\frac{7r}{7}=7\left(-8\right)[/tex]

7*-8=-56

7 and 7 is eliminated

so x=-56

Answer:

r= -56

Step-by-step explanation:

The equation given is:

[tex]\frac{r}{7}= -8[/tex]

We want to solve for r. In order to do this, we must get r by itself.

Currently, r is being divided by 7. We want to perform the inverse, which is multiplication. Therefore, we should multiply both sides of the equation by 7.

[tex]7*\frac{r}{7}= -8 * 7[/tex]

[tex]r=-8*7[/tex]

[tex]r= -56[/tex]

Let's check our solution. Substitute -56 back in for r and solve.

[tex]\frac{r}{7}= -8[/tex]

[tex]\frac{-56}{7}= -8[/tex]

[tex]-8=-8[/tex]

Both sides of the equation are the same, so we know our answer is correct.

What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction

Answers

Answer:

15/163

Step-by-step explanation: I dont have one

Answer:

i think its D

Step-by-step explanation:


For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)

Answers

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe <3

Answers

Answer:

Area of polygon MNOPQR = 13 units

Step-by-step explanation:

Area of smaller rectangle:

(7-3)= 4 units  multiplied by (3-2) = 1 unit

= 4 sq. units.

Area of polygon MNOPQR

= 3*3 units + 4*1 units

= 9 units + 4 units

= 13 units

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.

Answers

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

[tex]\overline {AB} \ \| \ \overline {OC}[/tex]

Also;

[tex]\angle ABO = \angle BOC = 33^0[/tex]

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

Answer: 10,779 feet

Step-by-step explanation: I just took the test and got it right

Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.​

Answers

Answer:

A,C,&D

Step-by-step explanation:any funny bur cute romance anime recommendations?

will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction

Answers

Answer:

D on edge

Step-by-step explanation:

merry christmas my elf on the shelf/Farkle is so good and nice ;)

Answer:

d

Step-by-step explanation:

Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?

Answers

Answer:

Applies are £0.50 each and bananas £0.80 each.

Step-by-step explanation:

Represent the numbers of apples and bananas by a and b respectively.

Then:

5a + 4b = £5.70, and:

4a + 2b = £3.60

Let's solve this system using elimination by addition/subtraction.  Multiply the 2nd equation by -2, obtaining the equivalent system

5a + 4b = £5.70

-8a  - 4b = -£7.20

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

-3a         =  -£1.50

Dividing both sides by -3, we get £0.50.  Apples are £0.50 apiece.

How much are bananas per piece?  Use the first equation; substitute £0.50 for a:

5(£0.50) + 4b = £5.70, or

     

                  4b = £3.20.  Then b = £0.80.

Applies are £0.50 each and bananas £0.80 each.

Tatiana made a two-way table to describe what her friends like at the amusement park. Which could be the columns and rows for Tatiana’s table? columns: likes roller coasters, likes water rides; rows: doesn’t like roller coasters, doesn’t like water rides columns: likes water rides, doesn’t like roller coasters; rows: doesn’t like water rides, likes roller coasters columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides columns: doesn’t like water rides, likes roller coasters; rows: doesn’t like roller coasters, likes water ride

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that Tatiana made a two-way table to describe what her friends like at the amusement park.

Two way table represents the data for two categorical variables. The categories are labeled at the top and the left side of the table.  

In the given case, water rides labeled on the top and roller coasters  labeled on left side.  Row represents one variable and column represents the other.

Tatiana two-way table is in the form of below table:  

                                          likes water rides       doesn’t like water rides  

likes roller coasters                           a                          b

doesn’t like roller coasters               c                          d

where, a, b, c and d are constant.

columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides  

Therefore, the correct option is C.

At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children

Answers

there are 53 children in the family gathering

Answer:

C = 53

Step-by-step explanation:

WHAT WE KNOW

m + w + c =100

2w - 2 = m

6 + w + m = c

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

FIND C

In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?

Answers

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?

Answers

Answer: 52 weeks

Step-by-step explanation:

There are 52 weeks in a year, so she should divide her number by 52.

━━━━━━━☆☆━━━━━━━

▹ Answer

52 weeks

▹ Step-by-Step Explanation

1 year = 52 weeks

Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C &= \left( \frac{1}{8^{1/5}} \right)^2\\ D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}} \end{align*}Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$, then enter "D,A,E,C,B", without the quotation marks.

Answers

Answer:

The order is "D, B, A, E, C".

Step-by-step explanation:

The numbers are as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]

Simplify the value of A, B, C, D and E as follows:

[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]

Arrange the following numbers in increasing order as follows:

D > B > A > E > C

Thus, the order is "D, B, A, E, C".

Answer:

C, E, A, B, D

Step-by-step explanation:

I had this question and this was the correct answer

Graph the image of the figure after a dilation with a scale factor of 1/3 centered at(1, - 2).

Answers

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

Step-by-step explanation:

Answer:

point (4, 7) will go to (2, 1)

point (-8, 4) will go to (-2, 0)

point (-8, -2) will go to (-2, -2)

х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1

Answers

Answer:

it's the first one because it's going down by 1/2

The exponential function represented by the values is f(x) = 4(0.5)ˣ.

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 4):

4 = ab⁰

a = 4

At point (2, 1):

1 = ab²

1 = 4b²

b² = 0.25

b = 0.5

The exponential function represented by the values is f(x) = 4(0.5)ˣ.

Find out more on Exponential function at: brainly.com/question/12940982

Please help I will mark brainliest if you explain WHY the answer is that in simple terms. A thanks and brainliest!

Answers

Answer:

The answer will be 7L/100km.

Step-by-step explanation:

The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.

Hey there! :)

Answer:

x = 7L/100km.

Step-by-step explanation:

Solve this problem by using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Use the points (100, 40) and (600, 5) and plug these into the formula:

[tex]m = \frac{5-40}{600-100}[/tex]

Simplify:

[tex]m=\frac{-35}{500}[/tex]

Since this is describing the rate of consumption, we can simply write the slope as:

[tex]m = \frac{35}{500}[/tex]

The question is asking for the rate of consumption over 100 km, therefore:

[tex]\frac{35}{500} = \frac{x}{100}[/tex]

Cross multiply:

3500 = 500x

Divide both sides by 500:

3500/500 = 500x/500

x = 7L/100km.

In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°

Answers

Answer:

The correct option is C

C) 76°

Step-by-step explanation:

The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.

We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.

<2 = <4

126 = 7x

x = 18

Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.

<7 = <5

<7 = 4x+4

Substitute x=18

<7 = 4(18) + 4

<7 = 76°

Answer:

option c

Step-by-step explanation:

hope this helps :)

I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?

Answers

Answer:

0.43 is the answer

Step-by-step explanation:

you need to take the total of action movie and divide it by the grand total.

204/478 ≈ 0.43

The  probability that a randomly chosen person from this group an action movie is 0.43.

What is probability?

Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.

Hence;

Probability of a male watching an action movie = 105/479

Probability of a female watching an action movie = 99/479

probability that a randomly chosen person from this group an action movie = 105/479 +  99/479 = 0.43

Learn mor about probability: https://brainly.com/question/14227610

Demario says that the point (1, 5) on the graph below means that one hat costs $5.00. Is Demario correct? yes or no

Answers

Answer:

I think that Demario is correct.

I think he is correct because the point is (1,5) and it says 5 in dollars.

Answer: Yes he is
Explanation: Because according to the graph (1,5) meet each other there so it’s correct

Find the domain for the rational function:

Answers

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.

What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5

Answers

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.

Answers

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches.  The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.

SIMPLIFY THIS −4(w+1)=−24 ASAP

Answers

Answer:

5

Step-by-step explanation:

Answer:

W=5

Step-by-step explanation:

First we distribute the -4 in

-4w - 4 =-24

Now we isolate the -4w by adding 4 to both sides

-4w=-20

Now divide

w=5

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Other Questions
HELP ASAP BRAINLIEST AND THX! What is g(x)?O A. g(x) = -lxlO B. g(x) = -XO C. g(x) = -2^xO D. g(x) = -x^2 There were three reasons for French overthrow of the government: unpopular leaders, economic problems and enlightenment ideals. Which of these factors do we see in today's government that leads to changes in leadership? Which do you think is the most important factor that leads to government changes? What were black codes?laws used by southern states to control African Americanslaws used by northern states to control African Americansamendments that gave citizenship rights to freed slaveslaws passed by Congress that discriminated against freed slaves The National Security Agency and the Federal Bureau of Investigation gather information about the capabilities and intentions of foreign governments. These two organizations are part of the ________ community. The frequency of a physical pendulum comprising a nonuniform rod of mass 1.15 kg pivoted at one end is observed to be 0.658 Hz. The center of mass of the rod is 42.5 cm below the pivot point. What is the rotational inertia of the pendulum around its pivot point A car moving at a speed of 25 m/s enters a curve that traces a circular quarter turn of radius 129 m. The driver gently applies the brakes, slowing the car with a constant tangential acceleration of magnitude 1.2 m/s2.a) Just before emerging from the turn, what is the magnitudeof the car's acceleration?b) At that same moment, what is the angle q between the velocity vector and theacceleration vector?I am having trouble because this problem seems to have bothradial and tangential accleration. I tried finding the velocityusing V^2/R, but then that didnt take into account thedeceleration. Any help would be great. and distance of the last ramp is ______ feet (round to the nearest foot) 1. Why is it important to have your financial plan and goals in place whenconsidering investments?2. What is one financial goal that you have? Using what we have discussed in theunit, what strategies in saving and investing could you use to reach the goal?What are the advantages and disadvantages of the strategies that you woulduse?3. What are some of the ways to reduce the risks of investing money?4. What are the advantages and disadvantages of common stocks?5. What factors can influence your investment choices and value? #Write a function called 'string_type' which accepts one #string argument and determines what type of string it is. # # - If the string is empty, return "empty". # - If the string is a single character, return "character". # - If the string represents a single word, return "word". # The string is a single word if it has no spaces. # - If the string is a whole sentence, return "sentence". # The string is a sentence if it contains spaces, but # at most one period. # - If the string is a paragraph, return "paragraph". The # string is a paragraph if it contains both spaces and # multiple periods (we won't worry about other # punctuation marks). # - If the string is multiple paragraphs, return "page". # The string is a paragraph if it contains any newline # characters ("\n"). # #Hint: think carefully about what order you should check #these conditions in. # #Hint 2: remember, there exists a count() method that #counts the number of times a string appears in another #string. For example, "blah blah blah".count("blah") #would return 3. Given f(x)=3x and g(x)=1/x+3 which value is in the domain of f(g) Name a work (book or article) associated with Dr. Atkins, Dr. Cordain, or Dr. Lustig. It can be an article that was written about one of the authors. Include a quote from the author that summarizes his opinions. 1. Describe potential long-term and short-term effects of exposure to chemicals. Yo-Down Inc. produces yogurt. Information related to the companys yogurt production follows:Production Department 1 Production Department 2 Production Department 3Support Department 1 cost driver 1,600 100 300 Support Department 1s costs total $120,000. Using the direct method of support department cost allocation, determine the costs from Support Department 1 that should be allocated to each production department.Production Department 1 Production Department 2 Production Department 3Support Department 1 cost allocation $ $ $ Given that Justin is collecting data on reaction time, what type of data is he working with?a. qualitativeb. discrete quantitativec. continuous quantitatived. none of the above Does this table represent a function? why or why not? The formula for a volume of a cylinder is V= pi r squared h/3. solve the equation for h, or height. PLZ help ASAP which point on the number line best repersent 22 I NEED HELP HURRY PLEASE, THANKS! :) Which of the following is a solution to the system of nonlinear equations below?