9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points

9514 1404 393

Answer:

  (-3, -6)

Step-by-step explanation:

The scale factor multiplies each coordinate.

  A' = 3A = 3(-1, -2) = (-3, -6)

The image of A is ...

  A'(-3, -6)

Answer:

Part A)

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Mike and his friends bought five cheese wafers and 15 chocolate wafers.

Step-by-step explanation:

Let cheese wafers be represented by x and let chocolate wafers be represented by y.

Part A)

They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:

[tex]2x+1y=25[/tex]

Or, simply:

[tex]2x+y=25[/tex]

They also purchased a total of 20 packets of wafers. Hence:

[tex]x+y=20[/tex]

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:

[tex]-x-y=-20[/tex]

Add it to the first equation:

[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]

Simplify:

[tex]x=5[/tex]

So, five cheese wafers were bought.

Using the second equation again, we can see that:

[tex](5)+y=20\Rightarrow y=15[/tex]

So, 15 chocolate wafers were bought.

Notes:

If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:

[tex]y=20-x[/tex]

Substitute this into the first:

[tex]2x+(20-x)=25[/tex]

Simplify:

[tex]x=5[/tex]

And we will acquire the same answer:

[tex]y=20-(5)=15[/tex]

Answer:

+ 5 = length 2x + 2(x + 5) = 38

Answer:

A.5

Step-by-step explanation:

divide 40 by 7 which is equal to 5

Answer:

19

Step-by-step explanation:

Conditional probability formula: A|B (A given B)= (A∩B)/B

So cold drink | large (cold drink given large)=  (Cold∩Large)/Large

cold∩large= 5

large= 22+5= 27

5/27=.185185185

which i guess rounds to 19%

Answer:

Step-by-step explanation:

mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.

to find median arrange the data from ascending to descending order.

Data = 1,2,3,4,5,7,7,7,8,8

median = N + 1/2    (N means no of data )

=10 + 1/2

=11/2

=5.5

= 5th term + 6th term/2

=5+7/2

=12/2

=6

mean = sum of data / no of data

=3+7+2+4+7+5+7+1+8+8/10

=52/10

=5.2

range = largest value - smallest value

=8 - 1

=7

Answer:

A) 47.17

B) 10.2 feet

Step-by-step explanation:

dont forget to switch the calculator to degrees when doing this

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

read comments for other stuff that i forgot to put in here

Angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].

" Angle of elevation is defined as the angle between horizontal plane and the observation line of sight."

Formula used

[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

Pythagoras theorem

[tex](Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}[/tex]

According to the question,

Length of the ladder ' hypotenuse'= 15 foot

Height to reach a point ' perpendicular' = 11feet

'[tex]\alpha[/tex]' represents the angle of elevation

[tex]'x'[/tex] represents the base of the house

Substitute the value to get the value of angle of elevation we have,

   [tex]sin\alpha = \frac{11}{15}[/tex]

⇒ [tex]\alpha = sin^{-1} (0.7333)[/tex]

⇒[tex]\alpha = 47.14[/tex] degrees

Substitute the value in the formula to get the value of base we have,

[tex](15)^{2}= (11)^{2} +x^{2}[/tex]

⇒[tex]x^{2} = 225 - 121[/tex]

⇒[tex]x^{2} = 104[/tex]

⇒[tex]x=\sqrt{104}[/tex]

⇒[tex]x= 2\sqrt{26}[/tex] foot

Hence, angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].

Learn more about angle of elevation here

https://brainly.com/question/21137209

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Answer:

What is the slope of the line that is parallel to the given line and passes through the given point?

-1/4

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?

y + 4 = -1/4(x + 2)

What is the y-intercept of the line that is parallel to the given line and passes through the given point?

-9/2

Step-by-step explanation:

Good lcuk for anyone who needs this<3

The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

The equation of a line in point-slope form is expressed as:

y - y0 = m(x - x0)

m is the slope

(x0, y0) is any point on the line

Using the coordinate points (2, 2) and (-2, -4)

Determine the slope

Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2

Using the point (2, 2), the equation of the line in point slope for is expressed as:

[tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

Learn more on equation of a line here: https://brainly.com/question/18831322

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Answer: 6x^2 + 10x -2

Añade todos los lados de la figura y combina los términos iguales por ejemplo todos los que tienen “x” en frente, súmales

Answer:

[tex]A=\frac{513\pi}{8}[/tex]

Step-by-step explanation:

1.Approach

To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.

2.Find the area of the circle

The formula to find the area of a circle is the following,

[tex]A=(\pi)(r^2)[/tex]

Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).

Substitute the given values into the formula and solve for the area.

[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]

3.Find the percent of the circle that is shaded

There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.

[tex]360 - 75 = 285[/tex]

Now put this number over (360) to find the fraction of the circle that is shaded.

[tex]\frac{285}{360}[/tex]

[tex]=\frac{19}{24}[/tex]

4.Find the area of the shaded region

Now multiply the total area by the fraction that the shaded region occupies.

[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]

Answer:

90

Step-by-step explanation:

B

The y-values go from at least -6 to at most 9 so B fits that

Answer:

-6 <=y <=9

Step-by-step explanation:

Answer:

The Correct Answer is [tex]\frac{11}{2}[/tex]    (11/2)

Decimals Form: 5.5

Answer:

5 1/2 or 5.5

Step-by-step explanation:

11/5 ÷ 2/5

11/5 × 5/2 = 11/2 = 5 1/2

Answer:

A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z

x = √29

Step-by-step explanation:

By the Pythagorean theorem,

A² + B² = C²

14² + x² = 15²

x² = 15² - 14²

x² = 29

x = √29

Step-by-step explanation:

A^2+B^2=C^2

14^2+x^2=15^2

196 + X^2=225

X^2=225-196

x^2=29

X=√29

Answer:

The answer is 1 * 3.

Step-by-step explanation:

To find the size of the resulting matrix, start by finding the dimensions of both matrices. For the dimensions of a matrix, it goes rows by columns. To find the dimensions of a matrix, count the number of rows, and then count the numbers of columns.

For the first matrix, the dimensions are 1 by 3. For the second matrix, the dimensions are 3 by 3.

An easy way to see if matrices that are being multiplied produce a real answer, find the dimensions of each matrix and see if the two inner numbers match.

For these matrices being multiplied, the dimensions are 1 by 3 and 3 by 3, and the two inner numbers are 3, which means they match.

Then, begin solving for the answer resulting from the matrices being multiplied. Start by multiplying each row in the first matrix by each column in the second matrix. Next, simplify each element of the matrix by multiplying out all the expressions. Finally, the matrix in the most simplified form is [tex]\left[\begin{array}{ccc}11&11&-2\\\end{array}\right][/tex]. Thus, resulting in a 1 * 3 matrix.

Answer:

y = 2x-5

y=-x+4

Step-by-step explanation:

Just need to solve the:

x+y=4

y-2x=-5

And we have:

x=3

y=1

Then replace x and y into the answer to find the correct one

Answer:

No, because 2^3 × 3^2 is equivalent to 72 which is a much smaller number than 6^5 which is equal to 7,776.

Step-by-step explanation:

2^3 × 3^2 = 6^5 ??

Use PEMDAS:

(2 × 2 × 2) × (3 × 3) = 6 × 6 × 6 × 6 × 6

(4 × 2) × 9 = 36 × 6 × 6 × 6

8 × 9 = 216 × 6 × 6

72 = 1,296 × 6

72 = 7,776

Step-by-step explanation:

no because they just added they exponents together. 6^5 is like saying 6 multiplied by itself 5 different times. same with the other numbers. if you switch the exponents around and multiply at different times it's like multiplying different numbers, because 2^3 is multiplying 2 by itself 3 individual times. if you move the exponent to the 6, you are multiplying a completely different number by its own self, so the two different methods cannot be congruent.

(I'm sorry I hope that made sense)

also you can just check with the calculator, this is just an explanation on why it will show up like that on the calculator

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85

Answer:

8.24243226

Step-by-step explanation:

Same as the previous one I answered.

Tan = Opposite/ Adjacent

Adjacent = Opposite / Tan(20)

Step-by-step explanation:

c) since m = undefined => the equation is

x = -2

d) the equation is

y-2= -1/7 (x+7)

=> y = -1/7 x -1+2

<=> y = -1/7 x + 1

Answer:

the correct answer is 4,000 grams

Answer:

Question 1

probability of a red marble in the first draw = 1/10

probability of a orange marble in the second draw = 4/9

probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,

Question 2

6 outcomes

1/6

Answer:

24 servngs

Step-by-step explanation:

3 cups makes 9 servings.

The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.

1 quart = 4 cups

2 quarts = 2 * 4 quarts = 8 cups

3 serviongs/cup * 8 cups = 24 servings

Answer: 24 servings

Answer:

$190

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

190

Step-by-step explanation:

Step 1 find total amount of money she has saved

To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )

Hence money she has saved = 8 * 4.75 = 35

Step 2 subtract cost of camera by amount of money she has saved

228 - 38 = 190

So we can conclude that she needs 190 more dollars to purchase the camera.

The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.

The axis of symmetry for this graph is x = -1.

Hope this helps!! :)

Answer:

[tex]g(x) = |x-4|+6[/tex]

Step-by-step explanation:

shift 4 to the right --> x-4

shift 6 up --> +6