Multiply or divide as indicated. x^-8/x^-7

Answer:

12

Step-by-step explanation:

For the sake of showing work I will replace the empty space with an x like so...

[tex]\frac{1}{6} =\frac{2}{x}[/tex]

To find out what x is you must cross multiply (aka butterfly)

1*x = 2*6

1x = 12

x = 12

***If you don't understand the "cross multiply" technique  let me know in the comments and I'll be happy to explain.

To make these fractions equivalent the empty spot must be 12

[tex]\frac{1}{6} = \frac{2}{12}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\sqrt{53i}[/tex]

Step-by-step explanation:

We need to find [tex]\sqrt{-49-4}[/tex]

We know that √-1 = i

Adding -49 and -4 and solving

[tex]\sqrt{-49-4}\\\sqrt{-53}\\\sqrt{53i}[/tex]

Since 53 is not a perfect square so our answer is:

[tex]\sqrt{53i}[/tex]

To find the inverse of the given function, we need to switch the roles of x and y and solve for y.

To find the inverse of a function, we need to switch the roles of x and y, and then solve for y. So, let's start:

Given f(x) = 4x

Switching the roles, we have x = 4y

Now, solve for y:

x = 4y

Divide both sides by 4:

y = x/4

The inverse function is h(x) = x/4. Therefore, the correct option is h(x) = x/4.

Answer:

16 inches

Step-by-step explanation:

We are given that the diagonal of a parallelogram is 10 inches long and makes angles of 25° and 43° with the sides.

So the angles of the parallelogram are:

α = 25° + 43° = 68°

β = 180° - 68° = 112°

Using the sine law assuming x to be the longest side of the parallelogram:

[tex]\frac{x}{sin43} =\frac{10}{sin 25}[/tex]

[tex] x = 1 6 . 1 4 [/tex]

Therefore, the longest side is 16 inches.

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

[tex]a^{2} +b^{2}=c^{2}[/tex]

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

[tex]x^{2} +4^{2} =20^{2}[/tex]

solve for x

[tex]x^{2}[/tex] + 16 = 400

[tex]x^{2}[/tex] = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

$873

Step-by-step explanation:

Each roll results in a loss of $3.

There are 291 rolls in all.

Multiply 291 with 3: 291 x 3 = 873

The total loss is $873 for the 291 rolls.

~

Answer:

$873

Step-by-step explanation:

3$ per roll.

291 rolls in total.

291 x 3 = 873

y = ∛ (x + 6 - 3) = ∛ (x +3) -----------> graph this

(see attached)

Check: from formula above, when x = -3, y = 0

Check that this point exists on the graph... it does (check OK!)

edit reason: typo

Answer:

9 and 2/5 gallons

Step-by-step explanation:

34 x 9 gallons = 306 miles

14 / 34 = 4/10 of the gallons

4/10 simplified = 2/5

Answer: 9 2/5

Answer:

9 and 2/5 gallons

Step-by-step explanation:

320 miles on 34 gallons in simplest form is 9 and 2/5 gallons.

Give the other person brainliest

Answer:

I think is A

Hope it helpsv

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Its has been dilated using O as the center.

There is no image, but I can help you by telling you what an acute angle is:

An acute angle is any angle that has a measure LESS then 90 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

A measure of an acute angle is equal to 86°.

An acute angle can be defined as an angle that is formed by a right-angle triangle. Also, the measure of the angle of an acute angle is generally less than ninety (90) degrees.

In geometry, any angle that is lesser than ninety (90) degrees is generally referred to an acute angle such as:

Read more on acute angle here: https://brainly.com/question/10651142

Answer:

Step-by-step explanation:

We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.

Here a = 2, b = -20 and c = 100.  Then the x-coordinate of the vertex is at

x = -(-20) / (2*2), or x = 5.

Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex.  It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50.  y = 50.

The vertex is at (5, 50).  This states that the stock reaches its minimum value, $50 per share), after 5 months.  From that time on, the stock appreciates (increases) in value.

Answer:

m∠7 = 142°

Step-by-step explanation:

Note that a straight line's degree measurement = 180°

Note that the angle directly next to (to the left of) m∠7 has a measurement of 38°. Subtract 38 from 180:

180 - 38 = 142

m∠7 = 142°

~

Answer:

m∠7 = 142°

straight line's degree measurement = 180°

Then get the adjacent angle of 38. Subtract 38 from 180:

180 - 38 = 142

m∠7 = 142°

Hope this helped

The equations representating the number of boxes Alonzo, Cory, and Bennett loaded are b = 0.7m, b = 1.4m, and b = 0.35m respectively. This is calculated based on the fact that Alonzo loaded 14 boxes in 20 minutes, and Cory and Bennett loaded twice and a quarter as much as Alonzo respectively.

On the basis given, Alonzo loaded 14 boxes in 20 minutes. So, the number of boxes loaded per minute, m , can be calculated as b = 14 boxes ÷ 20 minutes = 0.7 m.

Cory loaded twice as many boxes as Alonzo, so his equation is b = 2 * 0.7m = 1.4m.

Bennett loaded one fourth as many boxes as Cory, which means Bennett's equation can be determined as b = 1/4 * 1.4m = 0.35m.

Based on this, the true statements are:

https://brainly.com/question/29765554

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The number of boxes loaded by each player can be represented by different equations. Alonzo and Bennett loaded boxes at the same rate.

Explanation:

The proportional relationship between the number of boxes, b, that each player loaded onto the truck and the number of minutes, m, spent loading boxes can be represented by the equations:

Alonzo: b = 0.71m

Bennett: b = 0.25c (where c is the number of boxes Cory loaded)

Cory: b = 2a (where a is the number of boxes Alonzo loaded)

Based on the given rates, Alonzo and Bennett loaded boxes at the same rate.

Answer:

Step-by-step explanation:

X=3

1. simplify both sides of the equation by combining like terms

2. add 5 to both sides

3.divide both sides by -2

For this case we have the following equation:

[tex]-4x-5 + 2x = -11[/tex]

To solve, we add similar terms to the left side of the equation:

[tex]-2x-5 = -11[/tex]

We add 5 to both sides of the equation:

[tex]-2x = -11 + 5\\-2x = -6[/tex]

We divide between -2 on both sides of the equation:

[tex]x = \frac {-6} {- 2}\\x = 3[/tex]

Thus, the solution of the equation is 3.

Answer:

[tex]x=3[/tex]

Answer:

8x+ 6 is the translated mathematical expression.

Step-by-step explanation:

We are given the following English expression which are to translate into a mathematical expression:

'The sum of 6 and the product of 8 and x” into a mathematical expression'

Translating it in small chunks:

1. the sum of 6 ---> +6

2. product of 8 and x ---> 8x

Therefore, combining these we get the mathematical expression 8x + 6

For this case we must rewrite the given expression mathematically.

The sum of 6 and something else is written as:

[tex]6+[/tex]

The product of 8 and x is written as:

[tex]8x[/tex]

Finally, the expression is given by:

[tex]6 + 8x[/tex]

Answer:

The expression is given by:

[tex]6 + 8x[/tex]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

Answer:

C

Step-by-step explanation:

first you subtract 1 from 4 to get 3 and then you add 3 to -2 to get 1 so the coordinates are (3, 1)

The coordinate of B' is,

B' = (3, 1)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;'

Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and

D(1, -4).

Since, It is translated 1 unit to the left and 3 units up.

Now, The rule for translated 1 unit to the left and 3 units up is,

(x, y) = (x - 1, y + 3)

So, The coordinate of B' is,

B' = (4 - 1, - 2 + 3)

B' = (3, 1)

Learn more about the transformation visit:

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Answer: C

Step-by-step explanation:

(-1,4) is the vertex. reflect (-2,3) and (-3,0) onto the other side of the y-axis. you may use desmos to plug in the functions and the answer will be C, since it goes through the points given and reflected.

Final answer:

The function represented by the given set of points is f(x) = -x^2 - 2x + 3.

Explanation:

To determine the function represented by the given set of points, we can use the general form of a quadratic equation, y = ax^2 + bx + c. Substituting the points (-3,0), (-2,3), and (-1,4) into the equation, we can set up a system of equations and solve for the values of a, b, and c. The resulting function is f(x) = -x^2 - 2x + 3, which corresponds to option C.

Answer:

Acute isosceles triangle

Step-by-step explanation:

because an acute angle is more than 45 but less then 90.

that's all i know sorry!

[tex]\bf \begin{array}{ccll} miles&feet\\ \cline{1-2} 1&5280\\ x&8900 \end{array}\implies \cfrac{1}{x}=\cfrac{5280}{8900}\implies 8900=5280x \\\\\\ \cfrac{8900}{5280}=x\implies 1.6856\approx x\implies \stackrel{\textit{rounded up}}{1.7=x}[/tex]

Answer:

I would try 1.7

Answer:

3/16

Step-by-step explanation:

The nth term of a geometric series is:

an = a₁ (r)^(n - 1)

Given a₁ = 6, r = 1/2, and n = 6:

a₆ = 6 (1/2)^(6 - 1)

a₆ = 3/16

Answer:

Step-by-step explanation:

Answer: 3,-4,5

Step-by-step explanation:

Final answer:

The equation of the quadratic graph with a focus of (3, 6) and a directrix of y=4 is (x-3)² = 4(y-5).

Explanation:

To find the equation of a quadratic graph with a focus of (3, 6) and a directrix of y=4, you'll need to use the definition of a parabola. A parabola is the set of all points that are equidistant from a single point, called the focus, and a line, known as the directrix. In this case, since the directrix is horizontal (parallel to the x-axis) and the focus has a y-coordinate greater than the directrix, the parabola opens upwards.

The vertex of the parabola is equidistant from the focus and directrix, so its y-coordinate is halfway between the focus's y-coordinate and the directrix's y-value, which is 5. Because the x-coordinate of the focus is 3, the vertex is at (3, 5). The equation of a parabola in vertex form is (x-h)² = 4p(y-k), where (h,k) is the vertex and 4p is the distance between the vertex and the focus or the vertex and the directrix.

In this problem, the distance p is 1 (since the y-coordinates of the vertex and focus differ by 1). Thus, the equation of the parabola is (x-3)² = 4(y-5). This is the standard quadratic form for a parabola opening upwards with vertex at (3, 5) and focus at (3, 6).

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

Answer:

Roberto wins:1/4

roberto loses:3/4

Step-by-step explanation:

Answer:

Roberto wins:1/4

roberto loses:3/4

Step-by-step explanation:

Answer:

[tex](x)^{2}+(y)^{2}=90,000[/tex]

Step-by-step explanation:

we know that

The equation of the circle (the roof of the Colosseum) in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center and r is the radius

we have

(h,k)=(0,0) ----> is the origin

[tex]r=600/2=300\ ft[/tex] ----> the radius is half the diameter

substitute

[tex](x-0)^{2}+(y-0)^{2}=300^{2}[/tex]

[tex](x)^{2}+(y)^{2}=90,000[/tex]

bearing in mind that parallel lines have the same exact slope, hmmm what is the slope of y = -10x + 3 anyway?

[tex]\bf y=\stackrel{\downarrow }{-10}x+3\qquad \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} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \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 (\stackrel{x}{5},\stackrel{y}{-6})~\hfill \begin{array}{llll} y-(-6)=-10(x-5) \\\\\\ y+6=-10(x-5) \end{array}[/tex]