Simplify the expression. x^4/ x^7
a x-11
b x-3
c x11
b x3

the answer is in the photo

Answer:

2/5

Step-by-step explanation:

[tex] - 2\frac{4}{5} \div ( - 7)[/tex]

[tex] = \frac{2 \times 5 + 4}{5} [/tex]

[tex] = \frac{10 + 4}{5} [/tex]

[tex] = \frac{14}{5} [/tex]

[tex] = - \frac{14}{5} \times 7[/tex]

[tex] = \frac{14}{5} \div 7[/tex]

[tex] = \frac{2}{5} [/tex]

Find the area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

The scale drawing is 2 square inches.

The area of the square draw will be 2 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.

Given that area is 900 ft. the developer hopes to sell the commercial space for $1,800,000, which would be equivalent to $1000 per 1 square foot (ft?) of the property's area.

The area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

Therefore, the area of the square draw will be 2 square inches.

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Cost of dozen eggs = 72 cents

Cost of 1 egg = 72÷12

= 6cents

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Answer:

hhhahah

Step-by-step explanation:

eeee

Step-by-step explanation:

To convert 0.007407 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 7.407 × 10-3

i think this may help you tq

B is the midpoint of DC.

====================================================

Explanation:

If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.

When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.

Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees

Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.

Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees

Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.

points are

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]

[tex]\\ \sf\longmapsto m=-3[/tex]

Answer:

[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]

to Answer:

D is false

Step-by-step explanation:

AB and CD are not adjacent.

AB is adjacent to BC and AD  but not to CD.

Answer:

25%

Step-by-step explanation:

profit percentage = (profit/cost price) * 100

selling price = 600

profit = 600 * 20/100 = 120

cost price = 600-120 =480

profit percentage = (120/480) * 100 = 25

Hi, I'm happy to help!

First off, we need to arrange an equation for what is being asked. 15 is 20% of her earnings and we don't know her total earnings.

15=20%×__

We can write this percentage as

15=0.2×__

We then change the equation to do the inverse operation, which is division, this makes it easier to solve.

15÷0.2=__

Now, we solve

15÷0.2=75

She earned $75

I hope this was helpful, keep learning! :D

Answer:

c) ( x-15)/-8

Step-by-step explanation:

c) (x-15) / -8

Answer:

Solution given:

y = -8x + 15

interchanging role of x and y

we get

x=-8y+15

solve for y

x-15=-8y

divide both side by-8

we get

-8y/-8=(x-15)/-8

y=(x-15)/-8

:.

C. y = (x - 15)/-8 is a required inverse.

Answer:

-x^3 + 6x + 2

Step-by-step explanation:

Answer:

A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:

Answer:

24 horses and 12 chicken

Answer

24chickens and 14 horses

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

There isnt two eights

Combination of n things taken r at a time: nCr

a) combinations of healthy apples/all combinations

=13C4/15C4

=715/1365

=.5238

.

b) 1-.5238=.4762

.

Ed

Answer:

Inequality form:

x>1

Interval Notation:

( 1, infinity)

Answer:

20 + 7 + 10 + 26 + 24 + 12 + 16 + 7 = 122cm

Answer:

[tex]arc \: length = 2\pi \: r( \frac{θ}{360} ) \\ = 2 \times 3.14 \times 7 \times ( \frac{90}{360} ) \\ = 10.9 \\ = 11[/tex]

I hope I helped you^_^

Answer:

D. The Scott Wedding

Step-by-step explanation:

Scott: 12 guests on the groom's side and 10 guests on the bride's side

Smith: 18 guests on the the groom's side and 13 guests on the bride's side

Answer:

the slope is -1/4 throughout the line.

Step-by-step explanation:

the slope of a line never changes anywhere on the line. otherwise it would not be a line.

the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.

and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).

therefore -1/4

Answer:

3rd option

Step-by-step explanation:

The line has the same slope over the whole line

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)

m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]

The slope is - [tex]\frac{1}{4}[/tex] throughout the line

Answer:

y = -2/3x + 3

Step-by-step explanation:

First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:

(y₂ - y₁) / (x₂ - x₁)

If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3

Next, we can substitute in values in the equation above to get (1 -5)/(3+3)

** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**

Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3

After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).

Therefore, if we put the above information into slope-intercept form:

y = mx + b --> m = -2/3; b = 3

y = -2/3x + 3

Though I don't think that answer choice is there...

[tex]\\ \sf\longmapsto {x}^{2} - x - 3 = 0 \\ \\ \sf\longmapsto {x}^{2} - x = 3 \\ \\ \sf\longmapsto 4( {x}^{2} - x) = 4 \times 3 \\ \\ \sf\longmapsto 4 {x}^{2} - 4x = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 + {1}^{2} = 12 + 1 {}^{2} \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 12 + 1 \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 13 \\ \\ \sf\longmapsto 2x - 1 = \pm \sqrt{13} \\ \\ \sf\longmapsto 2x = 1 \pm \sqrt{13} \\ \\ \sf\longmapsto x = \frac{1 \pm \sqrt{13} }{2} [/tex]

Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomial is,

⇒ x² - x - 3 = 0

Now,

We can solve the equation as;

⇒ x² - x - 3 = 0

⇒ x² - x - 3 + 3 = 3

⇒ x² - x = 3

⇒ x² - x + 1/4 = 3 + 1/4

⇒ (x - 1/2)² = 13/4

⇒ x - 1/2 = ±√13 / 2

⇒ x = ±√13 / 2 + 1/2

Hence, Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

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Answer:

D.

Step-by-step explanation:

5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.

Answer:

D. 5n - 6

Step-by-step explanation:

6 less means -6

The product of 5 and a number means 5 x n which is the same as 5n

And it wants us to subtract 6 from 5n

so we would write it as...

5n - 6

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

[tex]an = 900 \times {f}^{n - 1} [/tex]

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

= 900×(1-3.065804612) / (-0.09) =

= 900×(-2.065804612) / (-0.09) = 20,658.04612

.

Answer:

$290

Step-by-step explanation:

We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.

Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.

Thus;

P(x) for expensive sofa = 1/5

P(x) for sofa in sale advertisement = 4/5

Thus, expected value is;

E(X) = (1/5)450 + (4/5)250

E(x) = 90 + 200

E(x) = $290

Answer:

Step-by-step explanation:

Cost of advertised sofa = [tex]\$250[/tex]

Cost of more expensive sofa = [tex]\$450[/tex]

So, the average cost of sofa,

[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]

Hence,

The average cost of a sofa = [tex]\$290[/tex]

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