1. A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how
tall will it be?

Answer:

Step-by-step explanation:

\((\frac{3}{7} )^{2} * (\frac{3}{7})^{2}\)

according to the laws of indices in multiplication case if the base are same then their power can be added. So,

\((\frac{3}{7} )^{2+1}\)

\((\frac{3}{7} )^{3}\)

\(\frac{3^{3} }{7^{3} }\)

\(\frac{27}{343}\)

Answer:

area = 42.8 in²

Step-by-step explanation:

Height = 7 1/8 in

area = 7 1/8 x 12 x 1/2 = 42.8 in²

Answer:

Step-by-step explanation:

18,000

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

As we know that the formula for calculating the final amount or maturity amount is given by;

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

               = $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

Hey there! I'm happy to help!

We see that 1 peso is equal to 0.55 U.S. dollars. So, the amount we will get in U.S dollars is the same as $5000×0.55 because 0.55 US dollars is equal to one peso!

5000×0.55=2750

Therefore, you will receive $2750.

Have a wonderful day!

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

\({\texttt{{Hello}}}\)

\(\gray{\boxed{{\textsf{trouble}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(\green{\boxed{{\textsf{Development}}}}\)

\(-y ^ { 2 } +x ^ { 3 } -4x ^ { 3 } -6y ^ { 2 } +5-2-x ^ { 3 } \\ \)

\(-y^{2}-3x^{3}-6y^{2}+5-2-x^{3} \\ \)

\(-y^{2}-3x^{3}-6y^{2}+3-x^{3} \\ \)

\(-y^{2}-4x^{3}-6y^{2}+3 \\ \)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\boxed{{\textsf{Answer}}}}\)

\(-7y^{2}-4x^{3}+3 \\ \)

\(\red{\texttt{{\textsf{XxXDxX}}}}\)

\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)\(\orange{-}\)\(\red{-}\)\(\green{-}\)\(\blue{-}\)\(\orange{-}\)

Answer:

42

Step-by-step explanation:

\(6x (f(x))^{4}+9 x^{3} f(x)=78\\6x (f(1))^{4}+9 x^{3} f(1)=78\\6x(-2)^{4}+9 x^{3} (-2)=78\\f(x) = 6x(16)-18 x^{3}=78\\f'(x)=96-54x\\for x=1: f'(1)=96-54(1)=42\)

Answer:

\(6^{21}\)

Simplified is \(2.193695064*10^{16}\)

I don't know if A is supposed to \(6^{21}\)

Step-by-step explanation:

You have to use the  Power rule: \((x^a)^b=x^{ab}\)

So \((6^7)^3=6^{7(3)}\)

\(6^{21}\)

Simplified is \(2.193695064*10^{16}\)

Answer:

A. 118°

B. 62°

C. 59°

Step-by-step explanation:

Hooe this helps!:) If you want me to explain just ask in the comments

Answer:

  a = 118

  b = 62

  c = 59

Step-by-step explanation:

a. The angle marked a° and the one marked 62° form a linear pair, so are supplementary.

  a° = 180° -62° = 118°

__

b. The angles marked 62° and b° are vertical angles, so both have the same measure.

  b° = 62°

__

c. The angles marked with a single arc are congruent. The arcs in the top triangle show that triangle to be isosceles. The sum of angles in that triangle is 180°:

  2·c° +62° = 180°

  c° +31° = 90° . . . . . divide by 2

  c° = 59° . . . . . . . . subtract 31°

_____

Additional comment

The diagram has enough marks to show that the top and bottom triangles are congruent.

Answer:

Answer is 3rd graph to the right

Answer:

307°

Step-by-step explanation:

The sum of all the angles of a hexagon is equal to 900°.

So,

112+x+120+100+128+133 = 900

593+x = 900

x = 900-593

x = 307°

So, the value of x is equal to 307°.

Answer:

Step-by-step explanation:

Given sides of a rectangle

Perimeter of rectangle

Using the given values

Answer:

The equation is

8 - 42x - 56y - 12xy

Step-by-step explanation:

I just took the assignment. Also, my dude, you were insanely early and way ahead! So sorry I got here late. :/

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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3. We can see here that the value of angle h is = 34°.

4. The type of angle pairs here are the vertically opposite angles.

In geometry, an angle is a measure of the amount of rotation between two intersecting lines or line segments. It is formed by the union of two rays, or half-lines, that share a common endpoint, called the vertex. The rays are often referred to as the sides of the angle.

Vertically opposite angles are pairs of angles that are formed by two intersecting lines, and they are opposite to each other. This means that they have the same degree of measurement and are congruent.

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Answer:

The correct option is (c).

Step-by-step explanation:

The combined formula is given by :

\(h=\dfrac{V}{\pi r^2}\) ...(1)

h is height

V is volume

r is radius

It is clear from formula (1) that h varies directly with V and inverse;y with the square of r.

Hence, the correct option is (c).

Answer:

h varies directly with V and inversely with the square of r.

Step-by-step explanation:

(Since pie is a constant, it's not said in the "sentence")

I also just got it right on the quiz.

1. The two equations that represent this system of equations include

3896 - 238m

5345 - 187m

2. The months that it will it take for both Richard and Elizabeth's cars to have the same number of miles will be 28.4 months.

Given that Richard's used car has 3,896 miles on it already, and he drives 238 miles per month. The equation will be:

3896 - 238m

Elizabeth's car has 5,345 miles on it already, and she drives 187 miles per month. The equation will be:

5345 - 187m

where m = number of months

The months that it take for both Richard and Elizabeth's cars to have the same number of miles will be:

3896 - 238m = 5345 - 187m

Collect like terms

51m = 1449

m = 1449 / 51

m = 28.4 months

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The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Step-by-step explanation:

CLS

INPUT " ENTER HEIGHT";h

INPUT " ENTER BREADTH";b

AREA= h×b

PRINT " AREA OF TRIANGLE IS"; AREA

END

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Applying the rules, it is found that ordered pair (24,6), option A, works for both rules.

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

The rule 1 is that y is x divided by 4, that is:

\(y_1 = \frac{x}{4}\)

The rule 2 is that y is x subtracted from 18, that is:

\(y_2 = x - 18\)

In item A, we have that the input x = 24, thus, the results of the expressions are:

\(y_1 = \frac{24}{4} = 6\)

\(y_2 = 24 - 18 = 6\)

In both cases, ordered pair (24,6), thus option A is the answer.

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Step-by-step explanation:

12y-(-4-8y)

= 12y +4 + 8y. ['-' getting multiplied when brackets open]

= 12y + 8y +4. [ Adding the like terms ]

= 20 y + 4 (Ans)

Answer: 80

Step-by-step explanation:

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Answer:

<-8,-12,-9>

Step-by-step explanation:

got it right on edge