Need help on 22 on what to do

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Answer:

P,M,R

Step-by-step explanation:

collinear points are two or more points that form a straight line

Option - B is the correct answer.

We have the following figure given in the question.

We have to determine which three points are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

According to question, we have to check which three points lie on a straight line.

It can be seen that two set of points - (P, M, R) and (N, M, O) lie on the same straight line. Of the options mentioned one is - (P, M, R).

Hence, the correct option is Option - B.

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Mike: From the school to the mall, we could count out 16 units. From the mall to the library, we could count out 29 units. When we add 16 and 29, we get the distance Mike traveled: 45 units.

Henry: He traveled from the school to the library. To find out how long this distance is, we look at our previous numbers. From the school to the mall: 16. From the mall to the library: 29

To solve, we need to know the Pythagorean Theorem. We use the formula a^2 + b^2 = c^2. Here, 16 is a and 29 is b. We need to square both numbers and add them together to get c^2.

[tex]16^2=256\\29^2=841\\256+841=1097\\1097=c^2[/tex]

Then, we have to square 1097 to find c.

√1097 ≈ 33

Total: We subtract Henry's distance from Mike's to get our final answer.

45 - 33 = 12

Mike traveled 12 more units than Henry.

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = [tex]x[/tex] kg

Half of it ([tex]\frac{x}{2}[/tex]) served with breakfast, so remaining granola :

[tex]x-\dfrac{x}{2} = \dfrac{x}{2}[/tex]

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms  = 6250 [tex]\times[/tex] 0.001 = 6.250 kilograms

Now, as per given question statement:

[tex]\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}[/tex]

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

Answer:

[tex]P(T_1\ n\ T_2) = \frac{2}{21}[/tex]

Step-by-step explanation:

From the comments in your question; we have

Stars = 4

Triangles = 5

Circles = 3

Squares = 3

Required  

Determine the probability of both shapes being triangles

First, calculate the total

[tex]Total = 4 + 5 + 3 + 3[/tex]

[tex]Total = 15[/tex]

Next, calculate the probability of the first selected shape being a triangle;

P(T₁) = Number of triangles divided by total number of shapes

[tex]P(T_1) = \frac{5}{15}[/tex]

[tex]P(T_1) = \frac{1}{3}[/tex]

Next, calculate the probability of the second selected shape being a triangle;

P(T₂) = Number of triangles divided by total number of shapes

Because it's probability without replacement. the number of triangle left is 4 and the number of shapes left is 14;

So:

[tex]P(T_2) = \frac{4}{14}[/tex]

[tex]P(T_2) = \frac{2}{7}[/tex]

Hence:

[tex]P(T_1\ n\ T_2) = P(T_1) * P(T_2)[/tex]

[tex]P(T_1\ n\ T_2) = \frac{1}{3} * \frac{2}{7}[/tex]

[tex]P(T_1\ n\ T_2) = \frac{2}{21}[/tex]

Hence, the required probability is [tex]\frac{2}{21}[/tex]

Answer:

2/21

Step-by-step explanation:

There are 4 stars, 5 triangles, 3 circles, and 3 squares

For the first drawing there are 5 triangles and a total of 15 shapes.

p(first triangle) = 5/15 = 1/3

Since there is no replacement, for the second drawing, and one triangle has been taken, now there are 4 triangles left and 14 total shapes left.

p(second triangle) = 4/14 = 2/7

p(two triangles) = p(first triangle) * p(second triangle)

p(two triangles) = 1/3 * 2/7

p(two triangles) = 2/21

Answer:

Yes, the bridge will hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

but,

16 ounces = 1 pound

32000 ounces = [tex]x[/tex] pounds

==> [tex]x[/tex] = 32000/16 = 2000 pounds

also,

2000 pounds = 1 ton,

therefore, the bridge will hold 1 ton

Answer:

it would be able to hold 1 ton

Step-by-step explanation:

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

Plug in x = 0

f(x) = 2x^2 + 5

f(0) = 2(0)^2 + 5

f(0) = 5

Plug in x = 2

f(x) = 2x^2 + 5

f(2) = 2(2)^2 + 5

f(2) = 13

Now use the formula below to find the average rate of change (AROC) from x = a to x = b

AROC = ( f(b) - f(a) )/( b-a )

AROC = ( f(2) - f(0) )/( 2-0 )

AROC = ( 13 - 5 )/( 2 - 0)

AROC = 8/2

AROC = 4

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

This is the same as finding the slope of the line through (0,5) and (2,13)

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

m = (13-5)/(2-0)

m = 8/2

m = 4

Answer:

Step-by-step explanation:

[tex] \sf{Given}[/tex]

[tex] \sf{hypotenuse = 5}[/tex]

[tex] \sf{base = 2.1}[/tex]

[tex] \sf{perpendicular = x}[/tex]

Now, Let's find the value of x

Using Pythagoras theorem

[tex] \sf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]

Plug the values

⇒[tex] \sf{ {5}^{2} = {x}^{2} + {2.1}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{25 = {x}^{2} + 4.41}[/tex]

Swap the sides of the equation

⇒[tex] \sf{ {x}^{2} + 4.41 = 25}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \sf{ {x}^{2} = 25 - 4.41}[/tex]

Calculate the difference

⇒[tex] \sf{ {x}^{2} = 20.59}[/tex]

Squaring on both sides

⇒[tex] \sf{x = 4.54}[/tex]

Hope I helped!

Best regards!!

Answer:

7

Step-by-step explanation:

h,n

m,n

n,o

j,k

k,l

k,i

Answer:

NP= 9

Step-by-step explanation:

MP = 15

MN = 6

Let NP be x

MN+NP=MP

6+x=15

x=15-6

x=9

The value of NP is 9

Step-by-step explanation:

It is given that,

A 2-liter bottle of juice costs $2.80.

It means that 1 liter bottle of juice costs $1.4.

A box containing six 12-liter bottles sells for $3.90.  

(6×12)l i.e. 72 liter bottles sells for $3.9

1 liter bottles sells for $0.05416

It is clear that "A box containing six 12-liter bottles sells for $3.90." have higher cost per liter. Its cost is $0.05416 per liter. Hence, the correct option is (D).

Answer:

D

Step-by-step explanation:

Greetings from Brasil...

Rewriting the problem sets

A = {-7, 4, 2, 14, 21, 34, 42}

B = {...; 2; 4; 6; 8; 10; 12; 14; 16; 18; 20; 22; 24; 26; 28; 30; 32; 34; 36; 38; 40; 42;...}

C = {...; -14; -7; 0; 7; 14; 21; 28; 35; 42; 49; 56; 63; 70; 77;...}

So, according to the statement, it is desired:

A ∩ B ∩ C - the intersection between the 3 sets, that is, which numbers are present simultaneously in the 3 sets....

Looking at the sets we conclude that

Answer:

-1/8

Step-by-step explanation:

Convert 1/4 into 2/8.

Then, minus -3/8 and 2/8

Answer:

-3/8 + 1/4 = 1/8

Step-by-step explanation:

-3/8 + 1/4

1/4 = 2/8

then:

2/8 - 3/8 = -1/8

Answer:

Amna is the fastest typist.

Step-by-step explanation:

Amna = 710 words/15 minutes = 47.3 words per minute

Sara = 810 words/18 minutes = 45 words per minute

Uzma = 780 words/20 minutes = 39 words per minute

Answer:

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

[tex] tan(A) = \frac{opposite}{adjacent} [/tex]

Opposite = 60

Adjacent = 11

[tex] tan(A) = \frac{60}{11} [/tex]

[tex] tan(A) = \frac{\sqrt{4*15}}{11} [/tex]

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

Answer:

B

Explanation:

Line segments do not extend or extract, they come together to form 1 line instead of going in one/two directions forever.

Answer:

1. 7.5 hours

2. TV

3. Computer

4. All electronic usage except for the heater would decrease because summer is usually when people go outside and don't really stay indoors. While in winter, most people stay inside their houses.

Answer:

D

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3 x 2

Answer:

a.three

b.the line containing them lies in the plane.

c.one point

Answer:

[tex]y=-\frac{2}{3}x+12[/tex]

Step-by-step explanation:

Step 1: Rule out answers

The answer cannot be B or D because the y-intercept is at 12(b = 12) and in a linear equation y=mx+b, b is the y intercept.

B has the y intercept at 18

D has the y intercept at 18

Step 2: Find the slope

The slop is the change in y over the change in x.  We can also write this as [tex]\frac{rise}{run}[/tex]

We see it lowers by 2 so we will put -2 as the numerator

We also the x value increase by 3 every time it gets lowered by 2 so the run is 3

Therefore the slope is [tex]-\frac{2}{3}[/tex]

Step 3: Plug in the the variables to get the linear equation

[tex]y=mx+b[/tex]

[tex]y=-\frac{2}{3}x+12[/tex]

Therefore the answer is A. [tex]y=-\frac{2}{3}x+12[/tex]

Answer:

[tex]\Large \boxed{{y=-\frac{2}{3}x +12}}[/tex]

Step-by-step explanation:

y = mx + b (slope-intercept form of a line)

m is slope

b is y-intercept

The y-intercept of the line is (0, 12) or 12.

y = mx + 12

The slope of the line can be found through rise over run.

(0, 12) and (18, 0) are two points on the line.

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

m = (0-12)/(18-0)

m = -12/18

m = -2/3

The slope of the line is -2/3.

y = -2/3x + 12

Answer:

Student Ticket: $8

Adult $28

Step-by-step explanation:

To find out the price of each ticket create 2 equations, then solve for x & y

x = student tickets

y = adult tickets

25x + 28y = 984

25x + 25y = 900

To do this first put x on one side of the equation

25x = 900 - 25y

x = 36 - y

Now substitute this equation in x for the first equation

25(36 - y) + 28y = 984

Now distribute 25 in 36 - y, 900 - 25y + 28y = 984

After this combine like term, then subtract 900 from each side, 3y = 84

Then divide 3 on each side, y = 28

Lastly substitute 28 for y in any equation to solve for x, x = 8

x & y are the price of each ticket

Answer:

29.4 meters

Step-by-step explanation:

Given the following :

A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.

distance it moved between two positions. Use the "distance on the number line "formula

Initial Position or distance of submarine before ascension = 56.8 meters

Final position after ascension = 27.4 meters

The distance moved by the submarine between the two positions can be obtained by.

(Initial distance - Final distance)

(56.8 - 27.4) = 29.4 meters

Answer:

[tex] \frac{1}{76543^4} [/tex]

Step-by-step explanation:

We are given base that is raised to a negative power of 4, [tex] 76543^{-4} [/tex].

Another way to rewrite this is as indicated as follows: thus, [tex] a^{-x} = \frac{1}{a^x} [/tex], where, a is the base, and x is the exponent.

Therefore, an equivalent expression of [tex] 76543^{-4} [/tex] = [tex] \frac{1}{76543^4} [/tex]

Answer:

16m²

25m²

9m²

Step-by-step explanation:

4 × 4 = 16m²

5 × 5 = 15m²

3 × 3 = 9m²

Answer:

the 3'd power

Step-by-step explanation:

4x4=16 16x4=64

Answer:

[tex]\Huge \boxed{\mathrm{3}}[/tex]

Step-by-step explanation:

Let the power be x.

[tex]\mathrm{4^x=64}[/tex]

Take log of both sides.

[tex]\mathrm{log(4^x)=log(64)}[/tex]

[tex]\mathrm{x \cdot log(4)=log(64)}[/tex]

Divide both sides by log(4).

[tex]\displaystyle \mathrm{x=\frac{log(64)}{log(4)} }[/tex]

[tex]\mathrm{x=3}[/tex]

Answer:

(-4+8) ÷ 2 = 2

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Answer22:

Step-by-step explanation:

edge2021

The height Abby climb above their original starting position is 20 feet.

Suppose the considered function whose graph is to be made is

f=f(x) f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f=f(x) f(x)

are plotted on the vertical axis.

They are together plotted on the point

f(x)) (x,y) = (x, f(x))

This is why we usually write the functions as:

f(x) y = f(x)

We are given that;

Time= 12min

Now,

To find how high Abby climbed above their original starting position, we need to look at the graph and find the highest point of Abby’s climb.

We can see that Abby’s climb is represented by the blue line on the graph.

The highest point of Abby’s climb is at (6, 22), which means that after 6 minutes, Abby reached a height of 22 feet.

Since the original starting position is at (0, 2), which means that at the beginning, Abby was at a height of 2 feet, we can subtract 2 from 22 to find how high Abby climbed above their original starting position.

Abby climbed 22 - 2 = 20 feet above their original starting position.

Therefore, by the graph the answer will be 20 feet.

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Answer:

$3 Each

Step-by-step explanation:

27 Spent Toatal.

Soft Drink for 3.

27-3 = 24

He bought eight candy bars, so divide 24 by 8.

24/8 = 3

So each was 3 dollars.

So in this case "number" will be "x"

Triple means multiply by 3 = 3x

1 less means minus 1.

3x-1

Answer:

they switched the terms 24 is term b and 16 is term a