r/7.1 = 4.2

what is r =​

Answer:

a) (6,4)

b) (5, 4.5)

Step-by-step explanation:

much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.

to set context, a midpoint would break the segment into a ratio of 1:1.

so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:

[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]

for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.

[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]

Step-by-step explanation:

(A U B) = {1,2, 4, 6, 7}

(A U B)'= U- (A U B) = { 3,5}<------- Answer

Answer:

We want to expand the expression:

[tex](x - \frac{1}{x^2} )^4[/tex]

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]

Now we can expand each one these two factors:

[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]

That can be simplified to

[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]

Now we can replace that in our original expression to get:

[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]

Now we can expand that last product, to get:

[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]

We can simplify that to:

[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]

That is the expanded expression.

Answer:

3q - 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

q = -7

r = 2

s = q

8 - 8r - 3s + 6q

Step 2: Simplify

Answer:

B) EH

Step-by-step explanation:

Answer:

QH = radius

EH = Diameter

QE = radius

Step-by-step explanation:

The diameter is the full length dividing the circle into two equal halfs

Where as the radius divides the diameter into two halfs

Answer:

x = -1

y = 6

Step-by-step explanation:

We can multiply the second equation by two, so we can have opposite y terms:

2 (3x - 2y = -15)

6x - 4y = -30

Now, we can add the equations, and the y terms can cancel out:

  7x + 4y = 17

+ 6x - 4y = -30

13x = -13

x = -1

Now, we can plug in x:

3(-1) - 2y = -15

-3 - 2y = -15

-2y = -12

y = 6

Answer:

B.d.c.b.a.c.b is. respectively answer

Answer:

The answer is 23

Step-by-step explanation:

8 · 2=16+7=23

Answer:

23

Step-by-step explanation:

1. Calculate the action in () 8*2 =16

2. Sum 7 + 16 = 23

Answer:

328

Step-by-step explanation:

To find the lenght of the far left side use SOH, CAH, TOA

we have the hypotonouse and need the opposite side so we'll use SOH

sin(38)=x/26

26sin(38)=16

Then use pathagoreyous theroem to solve for the last side

a²+16²=26²

a= 20.4882

Then the area is just length*width so

16*20.4882=327.9599 which rounds to 328

Answer:

Solution given:

we have

sin 38=opposite/hypotenuse

opposite=breadth [w=b]=sin38*26=16

by using Pythagoras law

l²+b²=26²

l²=26²-16²

l=√420

l=20.5

now

Area =l*w=20.5*16=328cm²

Answer:

A 5.5% = 5400 B 5% = 1800

Step-by-step explanation:

A + B = 7200

A * 0.055 + B * 0.05 = $387

A = 7200 - B

(7200 - B)*0.055 + B*0.05 = 387

396 - 0.055B + 0.05B = 387

396 - 0.005B = 387

0.005B = 9

B = 1800

A = 7200 - B = 7200 - 1800

A = 5400

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong

Answer:

Step-by-step explanation:

25+125+(-5x)=180 degree(sum of interior angles of a triangle is 180 degree)

150-5x=180

-5x=180-150

x=30/-5

x=-6

Answer:

The answer is:

0.18

0.92

0.15

1.80

[tex]\sf\purple{-5}[/tex] ✅

Step-by-step explanation:

[tex] - 9 - ( - 4) \\ = - 9 + 4 \\ = - 5[/tex]

Note:-

[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

- 9 -( -4) = -5

Step-by-step explanation:

-9-(-4)

solve the one in the bracket first because there is a minus sign between 9 and the bracket so we cannot use the 9 to multiple the number four in the bracket.

-9+4

the sign has changed to positive because when negative numbers are multiplying each other to will turn in to become positive.

so -9+4= -5

solution.

-9-(-4)

-9+4

-9+4= -5

therefore the answer is -5.

9514 1404 393

Answer:

  38.13 = 12 +4.75h

  5.5 hours

Step-by-step explanation:

(a) The charge (c) for renting a bike for h hours is ...

  c = helmet charge + hourly charge × hours

  c = 12.00 +4.75h

To find the number of hours when the charge is 38.13, we would use the equation ...

  38.13 = 12.00 +4.75h

__

(b) To solve this 2-step linear equation, we first subtract the constant

  26.13 = 4.75h

then we divide by the coefficient of the variable.

  26.13/4.75 = h ≈ 5.5

Amanda rented the bike for 5.5 hours.

_____

Additional comment

The result of the division is a long repeating decimal that starts off 5.50105263.... The instructions tell you to round this to the nearest tenth: 5.5. It helps to follow instructions.

Answer:

Step-by-step explanation:

15+9k

Answer:

Step-by-step explanation:

The line fron the airplane wich is tangent to earth surface is also perpendicular to the radius as you can see in the figure. So is valid to contruct the right-angled triangle as shown in the second figure.

[tex]r^2+(r+h)^2=x^2\\\\r=6378Km,~h=12.5Km\\\\x^2=81517374.25\\\\x=9028.7Km[/tex]

Answer:

You can't solve that I think

The factored form of the given expression 12a - b, is not possible.

To determine the factor form of 12a-b.

In mathematics, the process of operating and interpreting a function to make it simpler or more understandable is known as simplifying, and the process is known as simplification.

here,
Given expression = 12a -b
The factored form for the given expression, cannot be determined because the given expression is a simplified expression its factor cannot be possible.

Thus, It is not possible to factor the supplied expression 12a - b.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected. For example, suppose we have a set of three letters: A, B, and C. ... Each possible selection would be an example of a combination. The complete list of possible selections would be : AB, AC, and BC.

Answer:

30 years

Step-by-step explanation:

Given data

P=$17,000

A= $41,000

R=2.95%

the expressio for the time is

t= ln(A/P)/r

t= ln(41,000 /17000)/0.0295

t= ln(2.41176)/0.0295

t= 0.8803/0.0295

t= 29.8

about 30 years

Step-by-step explanation:

hear is your answer 9 is correct answer

Answer:

I got ya :D

the answer is

[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]

explanation in the attachment

Answer:

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

88.54% of shoppers are expected to spend between $30 and 80 per week.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $50 and a standard deviation of $15.

This means that [tex]\mu = 50, \sigma = 15[/tex]

Find the probability that any shopper selected at random spends more than $80 per week?

This is 1 subtracted by the p-value of Z when X = 80. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 50}{15}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

Find the percentage of shoppers who are expected to spend between $30 and 80 per week?

The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 30.

X = 80

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 50}{15}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

X = 30

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 50}{15}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

0.9772 - 0.0918 = 0.8854

0.8854*100% = 88.54%

88.54% of shoppers are expected to spend between $30 and 80 per week.

Answer:

19330

Step-by-step explanation:

t-1096=18234

+1096     +1096

t       =       19330

Hope that helps! Have a wonderful day :)

Answer:

y = 5/16

Step-by-step explanation:

[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]