Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O P will be closer to B because it will be

the distance from B to A.

P will be closer to B because it will be

the distance from B to A.

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Answer:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Step-by-step explanation:

We have the following dataset given:

0.4,0.2,0.4,0.6

In order to calculate the MAD we need to calculate the sample mean first with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

Replacing we got:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Answer:

0.1

Step-by-step explanation:

Khan Academy

Answer:

2x + 3y ≤ 25

Completed question;

At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.

Represent the case with an equation.

Step-by-step explanation:

Given;

Cost of yellow roses = $2

Cost of red roses = $3

Maximum cost he can spend = $25

Let "x" represent the number of yellow roses

let "y" represent the number of red roses.

The total cost of yellow roses = 2 × x = 2x

The total cost of red roses = 3×y = 3y

Total = 2x + 3y

The equation for this case can be written as;

2x + 3y ≤ 25

Answer:

The answer is A. 231

Step-by-step explanation:

I took the test on quizizz.

Answer:60,480

Step-by-step explanation:

Given

Word ENERGETIC contains

[tex]3-E's[/tex]

[tex]1-N[/tex]

[tex]1-R[/tex]

[tex]1-G[/tex]

[tex]1-T[/tex]

[tex]1-I[/tex]

[tex]1-C[/tex]

i.e. there are 9 letters

So, no of ways of arranging 9 letters out of which 3 are same is given by

[tex]=\dfrac{9!}{3!}=60,480[/tex]

here 3! is for 3-E's

Answer:

-$180

After 3 withdrawals of $60:

-60 × 3 --- 60 less dollars every one of 3 withdrawals

-180 --- simplify

-$180

hope this helps and brainliest?

Answer :10X

Step-by-step explanation:

Answer:

x = 10

12 logx= 12

12 x logx = 12

12 x log10 = 12

12 x 1 = 12

Answer:

[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]

Answer:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]

Decimal:

[tex]x = 2.66666...[/tex]

Step-by-step explanation:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]

Add [tex]log _2\left(3)[/tex] to both sides:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]

Simplify:

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]

Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]

[tex]9x=2^{3+\log _2\left(3\right)}[/tex]

Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]

[tex]9x=24[/tex]

Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]

[tex]x = \frac{8}{3}[/tex]

Verify solutions: [tex]x = \frac{8}{3}[/tex]  : True

The solution is:

[tex]x=\frac{8}{3}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

AB = 4.9 ft

Step-by-step explanation:

Here, we are to calculate the length of AB.

Firstly, please check the diagram of the triangle we have in the attachment.

From there we can see that what we are asked to calculate is the length of the hypotenuse(AB) while what we have is the length of the opposite and the angle.

Mathematically, when we have the opposite and the hypotenuse, the trigonometric ratio that links both is the sine

sine = opposite/hypotenuse

Sin 47 = 3.5/hypotenuse

hypotenuse = 3.5/sin 47

hypotenuse = 4.7856

To the nearest tenth of a foot AB = 4.8 ft

Answer:

1. x= -1/2

3. a= 11

5.y= -14

7.x= 8

9.n=4

Answer:

Step-by-step explanation:

9m^2 + 3mn - 3mn - n^2

9m^2 - n^2

Answer:

Yes, 51 is an outlier.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

19657

Step-by-step explanation:

[tex]2\cdot 10^4 - 7^3=20000-343=19657[/tex]

Hope this helps!

Answer:

1/2

Step-by-step explanation:

We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:

[tex]16 ^{1/2} * 2^{-3}[/tex]

Simplifying:

=> [tex]4 * \frac{1}{2^3}[/tex]

[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]

The answer is 1/2.

Answer:

The area of trapezoid is 36 [tex]m^2[/tex].

Step-by-step explanation:

To find the area of a trapezoid, you need this formula:

[tex]A = \frac{(a+b)}{2} \times h[/tex]

[tex]a =[/tex] long base

[tex]b =[/tex]short base

[tex]h =[/tex] altitude (height)

-Use the following measures of trapezoid for the formula:

[tex]A = \frac{(8+4)}{2} \times 6[/tex]

-Then, you solve the formula:

[tex]A = \frac{(8+4)}{2} \times 6[/tex]

[tex]A = \frac{12}{2} \times 6[/tex]

[tex]A = 6 \times 6[/tex]

[tex]A = 36[/tex]

So, therefore, the area of a trapezoid is 36 [tex]m^2[/tex].

Answer:

first one right

Step-by-step explanation:

Answer:

x =5

y = 35

Step-by-step explanation:

y = 7x

y = 3x+20

Since they both equal y, we can set them equal to each other

7x = 3x+20

Subtract 3x from each side

7x-3x = 3x+20-3x

4x= 20

Divide each side by 4

4x/4 =20/4

x = 5

Now find y

y = 7x

y = 7(5)

y = 35

Answer:

y = [tex]-\frac{7}{8}[/tex]x + 4

Step-by-step explanation:

-32 = -7x - 8y

Slope-intercept: y=mx+b

First, we can add 8y on both sides so we can get u by itself.

8y - 32 = -7x

Now, we can add 32 to both sides.

8y = -7x + 32

Now, we divide 8 on both sides of the equation so we can get y by itself just like in the slope-intercept formula.

y = [tex]\frac{-7}{8}[/tex]x + [tex]\frac{32}{8}[/tex]

Lastly, we can simplify and you will have your answer.

y = [tex]-\frac{7}{8}[/tex]x + 4

Answer:

45 gallons

Step-by-step explanation:

You have to do 3x (lemonade)+5x (soda)=120

8x=120

x=15

now multiply the 15 with the 3 which will get you to 45

i really hope this helped!!

Answer:

g(x) = (x -39)^2 +74

Step-by-step explanation:

Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x) = (x -39)^2 +74

In mathematics, a transformation is a feature f, typically with a few geometrical underpinnings, that maps a fixed X to itself, i.e. f: X → X.

What are the 4 transformations in maths?

Learn more about transformations here https://brainly.com/question/4289712

#SPJ2

Answer:

B. double-blind

Step-by-step explanation:

Answer:

AB

Step-by-step explanation:

Answer: 8.4 m²

Step-by-step explanation:

[tex]\text{The Area of a sector}=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\=\pi(4)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\=\dfrac{16\pi}{6}\\\\\\= \dfrac{8}{3}\pi\\\\\\= \large\boxed{8.4}[/tex]

Answer:

a (5a - 6b)

Step-by-step explanation:

Factor a

5a^2 - 6ab

a (5a - 6b)

Answer:

(B)

Step-by-step explanation:

If you count, there'd be 16 blue chairs.

Therefore, B

Answer:

The answer is b

Step-by-step explanation:

When there is only 2 squares it wil be 2(4) (for 2 squares) and then 2(2) for the single square lw

So adding in another square will make it 2(6)+2(2)

=16 chairs

Answer:

18.85 feet

Step-by-step explanation:

C = 2 x 3.14 x 6/2

Answer:

C≈18.84

Step-by-step explanation:

Formula is 2πr

D = 6 ft

Radius is D/2 = 3

2π3 = 18.84955592153875943077586029967701730518301639625063492584

Answer:

50

Step-by-step explanation:

You find the common denominator by the LCM , which in this case is 50.

incase you did not understand LCM , am here to help.

Answer:

1:5

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

First you have to isolate x

then you have to add 3 on the other side.

so yeahh!!

Answer:

Formas de elegir cualquier 2 calcetines de 24 calcetines a 24C2

Formas de elegir 2 calcetines NEGROS de 12 calcetines NEGROS 12C2

Probabilidad de recoger 2 calcetines NEGROS (P1) 12C2 / 24C2 a 66/276

Probabilidad de recoger 2 calcetines BLANCOS (P2) 12C2 / 24C2 a 66/276

Probabilidad de elegir los 2 calcetines del mismo color: P1+P2 a 66/276 + 66/276 a 11/23.

esto le dará una pista

Step-by-step explanation:

Answer: first problem: 2w-5w

Second problem: one side increases by 4 and another side decreases by -22.

Step-by-step

For the first question: make a rectangle and label the length 2w-5 and the width 5. Next, write w(2w-5). Draw a arrow from w to 2 and another arrow from w to 5. Lastly write 2w^2-5w. Answer: 2w^2-5w

2nd question: make a rectangle. For the length write 10 and for the width write 8 and inside the rectangle write 80. Then draw a arrow and on top of the arrow write +88 and then drew another rectangle and for the length write x+10 and for the width write x+8 and inside the rectangle write 168. Then write this on the bottom of the rectangles;

(x+10) (x+8) =168

X^2+8x+10x+80=168

-168. -168

X^2+18x-88=0

Then make a T-chart and on one of the top column write (x-4) and on the other top column write (x+22)=0

And on the bottom of (x-4) write X=4 and in parenthesis write (increase)

And on the bottom of (x+22)=0 write X=-22 and in parenthesis write (decrease)

Then on the area so of the T-chart write 88 and underline it and write -4+22=18 D. S large +.

-Tell me if you get what I am saying. And good luck!

Answer:

The missing side = 30 cm

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

40^2 + b^2 = 50^2

1600 + b^2 = 2500

-1600             -1600

b^2=900

square root of both sides

b=30 cm