Given that 5 miles is 8 km, convert 32.7 km to miles.
help im stuck

Answers

Answer 1

Answer:

20.4375 miles

Step-by-step explanation:

 5 miles / 8 km    *    32.7 km   = 20.4375 miles

    ( see how the units 'km' cancel out and you are left with 'miles' as your answer?)


Related Questions

The population of a city decreases by 4.4% per year. If this year's population is
135,000, what will next year's population be, to the nearest individual?

Answers

Answer:

129060

Step-by-step explanation:

135 000 - .044(135000) = 129 060

Cácule o limite de:




lim [tex]3^{2n} + 1[/tex]
_____________________
n-∞[tex]4^{n+2} - 3[/tex]




R:∞

Answers

The limit of the expressions [tex]3^{2n} + 1[/tex] and [tex]4^{n + 2} - 3[/tex] for n to infinity is infinity

How to calculate the limits?

The expressions are given as:

[tex]3^{2n} + 1[/tex]

[tex]4^{n + 2} - 3[/tex]

The limits of the expressions as they approach infinity are represented as:

[tex]\lim_{n \to \infty} 3^{2n} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{n + 2} - 3[/tex]

Substitute [tex]\infty[/tex] for n in both expressions

[tex]\lim_{n \to \infty} 3^{2 * \infty} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{\infty + 2} - 3[/tex]

Solve both expressions independently;

[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{2 * \infty} + 1[/tex]

Evaluate the product

[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{\infty} + 1[/tex]

Evaluate the exponent

[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty + 1[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty[/tex]

Also, we have:

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty + 2} - 3[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty} - 3[/tex]

Evaluate the exponent

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty - 3[/tex]

Evaluate the difference

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty[/tex]

Hence, the limit of the expressions for n to infinity is infinity

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Soo i need yall help rlly bad w it pls

Answers

The total number of inches yards that she have is 6.95 yards

Sum of fractions

Given the following parameters

Amount of red yards = 4.2 inches

Amount of blue yards = 2.75inches

In order to determine the total yards, the sum of the yards is expressed as:

Total yards = 4.2 + 2.75

Total yards = 6.95 yards

Hence the total number of inches yards that she have is 6.95 yards

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To graph the inequality x > -3, draw an open circle on -3 and shade to the left.

TrueFalse

Answers

False, you graph an open circle on -3 and shade to the right because x must be larger than -3 and it can not equal -3

The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB after the dilation is applied?

Answers

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size


The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.
Circumference 2пт
A. 153.86 cm
B. 21.98 cm
C. 43.96 cm
D. 307.72 cm

Answers

Answer:

43.96 or C

Step-by-step explanation:

c=(pi)(d)

pi --> 3.14

d --> diameter (in your case 14.)

c=3.14*14

c= 43.96

Both formulas work, 2(pi)r and (pi)(d)

But, if they give you the diameter then use (pi)(d).

If they give you the radius then use 2(pi)r

Find an equation of a line through (2, 1) and perpendicular to - 2x + 4y = 8.
y = -2x - 1
y = -2x + 5
О.
y = -2x - 3
O
y = -2x + 3

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]-2x+4y=8\implies 4y=2x+8\implies y=\cfrac{2x+8}{4} \\\\\\ y=\cfrac{2x}{4}+\cfrac{8}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

since we know that's its slope, then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so then we're really looking for the equation of a line whose slope is -2 and passes through (2 , 1)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ y-1=-2x-4\implies y=-2x-3[/tex]

find the sum of n first natural numbers is 496 ,find the number of terms

Answers

Answer:

Number of terms  = 31.

Step-by-step explanation:

Sum of n terms of an A S with first term 1 and common difference 1:-

496 = (n/2)(2(1) + 1(n - 1))

496 = (n/2)(n + 1)

n^2/2 + n/2 = 496   Multiply through by 2:-

n^2 + n = 992

n^2 + n - 992 = 0

(n - 31)(n + 32) = 0

n = 31   (we ignore the negative).


A(5, 10) and B(13,-2) are two points on the line AB.
The perpendicular bisector of the line AB has gradient
Find the equation of the perpendicular bisector of AB

Answers

Answer:

hope you understand......

There is 1 2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat? please help.

Answers

Answer:

1/3

Step-by-step explanation:

Number of pizza=12

Number of students=4

Therefore,4/12=4/4

=1/3

Solve the equation 14x + 7y= 28 for x.
O A. x-y-2
OB. x = 28-7y
O C. x = 2-y
O D. x = 4-y

Answers

The equation that represents the solution of x is x = 2 - y/2

How to solve the equation?

The equation is given as:

14x + 7y = 28

Divide through by 7

2x + y = 4

Subtract y from both sides

2x = 4 - y

Divide both sides by 2

x = 2 - y/2

Hence, the equation that represents the solution of x is x = 2 - y/2

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Rearrange the formula below to make x the subject. α y+1=2x - 10/x+1​

Answers

Answer:

cross multiplication

x

the second choice is "reverse" and "do not reverse"

Answers

Answer:

Divide by -8reverse

Step-by-step explanation:

Multiplying or dividing an inequality by a negative number requires that the inequality symbol be reversed.

__

To solve this inequality, we can divide by the coefficient of x, which is -8. Dividing by -8 means we need to reverse the inequality symbol.

_____

Additional comment

Actually, applying any function that has a negative slope means the ordering is reversed. That is the more general case.

Here, we're specifically concerned with division by a negative number. You can see the effect on the ordering relation by considering ...

-2 < 12 > -1 . . . . divide both sides by -1

Use the table below to find each probability. 5. P(the recipient is male) 6. p(the degree is a bachelors) 7. p(the recipient is female, given that the degree is advanced) 8. p( the degree is not an associates, given that the recipient is male)



Degree Male Female
Associate 245 433
Bachelors 598 858
Advanced 293 376

Answers

P(the recipient is male)= 40.5%

p(the degree is a bachelors) = 52%

p(the recipient is female, given that the degree is advanced)  = 56.2%

p( the degree is not an associates, given that the recipient is male) = 78.4%

What are the probabilities?

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(the recipient is male) = total number of males / total number of recipients

1136/2803 = 40.5%

p(the degree is a bachelors) = total number of bachelors degree / total number of degree

= 1456 / 2803 = 52%

p(the recipient is female, given that the degree is advanced) = total number of females with advanced degree / total number of advanced dgree

376 / 669 = 56.2%

p( the degree is not an associates, given that the recipient is male) = number of males that that have degrees other than associates / total number of males

891 / 1136 = 78.4%

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-9v -6(8-7v)

Explain please

Answers

Answer:

33v - 48

Step-by-step explanation:

- 9v - 6(8 - 7v) ← multiply each term in the parenthesis by - 6

= - 9v - 48 + 42v ← collect like terms

= 33v - 48

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 9v - 6(8 - 7v)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - [(6 \times 8) - (6 \times 7v)][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - (48 - 42v)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - 48 + 42v[/tex]

[tex]\qquad \sf  \dashrightarrow \:33v - 48[/tex]

Hope it helps ~

Find the vertex, axis of symmetry, and y-intercept of the quadratic function.

Answers

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Maximum = 2Domain : all real numbersRange : y ≤ 2

A large tank is 120 meters long, 65 meters wide, and 48
meters high. Express the volume of the tank in cubic
meters using scientific notation.

Answers

Step-by-step explanation:

the volume of a rectangular block or tank is

length × width × height

so, it is like all regular 3D objects

base area × height.

so, we get

120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³

why ?

374,400 = 374400 × 10⁰ = 37440 × 10¹ =

= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =

= 3.744 × 10⁵

Help me please I need this done quick

Answers

Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2

How do I solve 15=3p/6 ?

Answers

Given : 15 = 3p/6

=> 15 x 6 = 3p

=> 90 = 3p

=> p =90/3

=> p = 30

Hope this helps you :)
I uploaded on how to do it there are pictures. Answer is p=30

Annie bought a package of 100 pens for $167.00. How much did each
pen cost?

Answers

Answer:

Step-by-step explanation:

167.00 / 100 = $1.67

A concession stand owner bought some bottles of water for $0.75 each and began selling them for $1.25 each. When he made back all the money he spent, he still had 20 bottles left to sell. What equation can be written to determine the amount of money the owner spent?

Answers

Its going to be okay 29

Someone show me step for step please!

Answers

[tex]\csc \theta \tan \theta - \tan \theta \sin \theta \\\\\\=\dfrac 1{\sin \theta} \cdot \dfrac{\sin \theta }{\cos \theta }- \dfrac{\sin \theta }{\cos \theta} \cdot \sin \theta\\\\\\=\dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{1- \sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{\cos^2 \theta}{\cos \theta}~~~~~~~~~~~~~~;[\sin^2 \theta + \cos^2 \theta =1 ]\\\\\\=\cos \theta[/tex]

Let's write out some trigonometric identities that we can use:

[tex]tan(x)=\frac{sin(x)}{cos(x)} \\[/tex][tex]csc(x)=\frac{1}{sin(x)}[/tex][tex]sin^2(x)+cos^2(x)=1[/tex] ⇒ [tex]cos^2(x)=1-sin^2(x)[/tex]

Now let's try solving them out:

  [tex]csc(x)tan(x)-tan(x)sin(x)=\frac{1}{sin(x)}tan(x)-sin(x)tan(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)}-sin(x))\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)} -\frac{sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=tan(x)*(\frac{1-sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{cos(x)}*\frac{cos^2(x)}{sin(x)} \\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{sin(x)}*\frac{cos^2(x)}{cos(x)}\\\\csc(x)tan(x)-tan(x)sin(x)=1 * cos(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=cos(x)[/tex]

  *I used a different variable, but that doesn't change the answer

Answer: cos(x)

Hope that helps!

solve 4(x-7)+10=-10 A=X-2 B=X=4 C=X=1 D=X=3

Answers

Answer:

A. -2

Step-by-step explanation:

Pre-calc/trig
Suppose that θ=arcsin(1/7) in the first quadrant. What is cos(θ/2)? (round to 4 decimals)

Answers

Answer:

0.9974

Step-by-step explanation:

[tex]arcsin( \frac{1}{7} ) = 0.1433 \\ cos( \frac{0.1433}{2} ) = 0.9974[/tex]

Solve the problem.
A recipe calls for 6 ounces of unsweetened chocolate for 20 brownies. How much of unsweetened chocolate is needed to make 30 brownies?

Answers

890 would be the answer

BOOM Creations has offered to sell its balloon
bouquets for a fixed down payment of $65 and an
additional charge of $2.75 per bouquet.

Answers

Answer:

y intercept: 65

rate of change: $2.75

Step-by-step explanation:

Really quite simple lad. Your equation is y=2.75x+65. 65 is your y-intercept, and you have a rate of change of 2.75 per bouquet.

Give the value of x .

A. 60 degrees
B. 180 degrees
C. 120 degrees
D. 45 degrees

Answers

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

[tex] \alpha [/tex]

[tex]60 + 60 + \alpha = 180 \\ \alpha = 180 - 60 - 60 \\ \alpha = 60 \\ [/tex]

[tex] \alpha + x = 180 \\ x = 180 - \alpha \\ x = 180 - 60 \\ x = 120[/tex]

Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a jack, a queen, or a king), the player is awarded 10 points. Any other card drawn costs the player 3 points. What is the expected value of drawing a card in this game? A. 0 points B. 3 points C. 6.5 points D. 10 points

Answers

Answer: B

Step-by-step explanation: There are many less face cards in the deck than other cards, you would think youre getting 3 points each time rather than thinking 10 points each time

3
6
2

3
12
O y=2x+:
O y = 3x
O y =3x+3
O y=x+3
Which equation represents the relationship shown in the table? •

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

when you check, only that equation delivers the correct x and y pairs.

x = 0, => y = 3×0 + 3 = 3

x = 1, y = 3×1 + 3 = 3+3 = 6

x = 2, y = 3×2 + 3 = 6 + 3 = 9

x = 3, y = 3×3 + 3 = 9 + 3 = 12

it all fits.

A right angled triangle has sides 12m and 5 m.what is the length of the hypotenuses of this triangle?

Answers

12^2 + 5^ = c^2

144 + 25 = c^2

169 = c^2

13=c

Answer:

13 m

Step-by-step explanation:

Given: sides of the right triangle are 12 m and 5 m

To find: Length of hypotenuse

By Pythagoras Theorem:

[tex]l(hypotenuse)=\sqrt{12^2+5^2}[/tex]

[tex]\implies l(hypotenuse)=\sqrt{144+25}[/tex]

[tex]\implies l(hypotenuse)=\sqrt{169}[/tex]

[tex]\implies l(hypotenuse)=13\: m[/tex]
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