Share £20 in the ratio 2:3

Answer:

ln(20) = 2.9957

Here given:

ln(4) = 1.3863

ln(5) = 1.6094

Evaluating with that:

[tex]\rm \Rightarrow ln\left(20\right)=ln\left(5\right)+ln\left(4\right)\\[/tex]

[tex]\rm \Rightarrow ln\left(20\right)=1.3863 \ + \ 1.6094[/tex]

[tex]\rm \Rightarrow ln\left(20\right)=2.9957[/tex]

Answer:

The line r is the transversal and ∠1 and ∠2 are linear pairs.

Step-by-step explanation:

Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.

Consequently, the parallel lines are p and q.

R is the transversal

The parallel lines p and q are divided by the transversal r.

As a result, lines 1 and 2 are linear pairs, and line r is the transversal.

Answer:

it is called a transversal (how do u not know this?)

Answer:

3

Step-by-step explanation:

24 divided by 6 is 4, subtract Doug, there were 3 friends

Answer:

72ft²

Step-by-step explanation:

a square has 4 equal sides, when each one is 18ft, the total perimeter will be 18×4=72ft²

Hii!

_____________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

Perimeter of the rug = 72 ft

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=4a[/tex] a=length of one side

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=4\cdot18[/tex]

[tex]\bullet[/tex] Multiply

[tex]\twoheadrightarrow\sf P=72ft[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

Answer: 7x+13

Step-by-step explanation:

7 is being multiplied by some number (x) and then the answer to that is added to 13.

Given:

The given equation is 5y=3x-5

Find: Draw the graph

Explanation:

It is given that 5y=3x-5. Substitute x=0 into the given equation we have

[tex]5y = 3x - 5[/tex]

[tex]5y = 3(0) - 5[/tex]

[tex]5y = - 5[/tex]

[tex]y=-1[/tex]

Now, substitute x=5 into the given

equation we have

[tex]5y = 3(5)-5[/tex]

[tex]5y = 15-5[/tex]

[tex]5y = 10[/tex]

[tex]y = 2[/tex]

The points are (0,-1) and (5,2).

Therefore, the required graph is

Hence, the required graph is obtained.

Answer: [tex]y=-\frac{1}{3} x-3[/tex]

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

[tex]x=-3y-9[/tex]

Now solve for y

Step 1: Flip the equation.

[tex]-3y-9=x[/tex]

Step 2: Add 9 to both sides.

[tex]-3y-9+9=x+9\\-3y=x+9[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]

Answer:

A

Step-by-step explanation:

sin*sec=tan

tan^2+1=sec^2 by an identity

Answer:

Factors of 24: 1, 2, 3, 4, 6 etc.

Multiples of 24: 48, 72, 96, 120

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

24 can be written as:

= 1 × 24

= 2 × 12

= 3 × 8

= 4 × 6

So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.

1 × 24 = 24

2 × 24 = 48

3 × 24 = 72

4 × 24 = 96

and so on...

So, the first 4 multiples of 24 are 24, 48, 72 and 96.

[tex]\rule[225]{225}{2}[/tex]

According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

The complete question is in the attachment

The function f(x) is given as:

[tex]f(x) = 5^x[/tex]

From the attached graph, we can see that the function f(x) is 10 units down to get g(x).

This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)

This transformation is represented by:

(x, y) => (x, y - 10)

So, we have:

g(x) = f(x) - 10

Substitute [tex]f(x) = 5^x[/tex]

[tex]g(x) = 5^x - 10[/tex]

Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]

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Answer:

567.5

Step-by-step explanation:

it's 567.5. please add me to your followers

Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

Answer + Step-by-step explanation:

y= e^x + 1

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Step-by-step explanation:

[tex] \frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1[/tex]

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

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

Here a^2 is 9, b^2 is 4.

[tex] {c}^{2} = 9 - 4[/tex]

[tex] {c}^{2} = 5[/tex]

[tex]c = \sqrt{5} [/tex]

So our foci is

[tex](2, - 5 + \sqrt{5} )[/tex]

and

[tex](2, - 5 - \sqrt{5} )[/tex]

the price of the watch plus tax = 100% + 7% = 107%

Divide the total cost by 107%:

234.33 / 1.07 = 219.00

The original price was $219.00

Answer: letter B (answer is 2)

Step-by-step explanation:

Answer:

4x + 3y = - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

• Parallel lines have equal slopes

calculate the slope of the line using the slope formula

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

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

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

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - [tex]\frac{4}{3}[/tex] x - 2 ← equation in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 4x - 6 ( add 4x to both sides )

4x + 3y = - 6 ← in standard form

Since [tex]x^2 + x + 1 = 0[/tex] means [tex]x^2+x = -1[/tex], we have for any [tex]n[/tex] the recursive relation

[tex]x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n[/tex]

Let [tex]f(x)=x^{2015}+x^{2013}+x[/tex]. Substitution using the recursive rule generates an alternating power-reduction pattern:

[tex]f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x[/tex]

[tex]f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x[/tex]

[tex]f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x[/tex]

[tex]f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x[/tex]

[tex]f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x[/tex]

[tex]f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x[/tex]

and so on.

Notice that in the equivalent forms of [tex]f(x)[/tex] involving 3 terms, the largest power of [tex]x[/tex] is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with

[tex]f(x) = x^3 + x^2 + x[/tex]

Then by factorizing, the expression of interest reduces to

[tex]f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}[/tex]

Answer:

B = 49/5 - 7a/5

A = = -5b/7 + 7

Step-by-step explanation:

Given that,

7a+ 5b= 49

Solution:

Solving for a:

Add -5b to both sides:

Divide both sides by 7:

Hence,a = -5b/7 + 7.

Solving for b:

Add -7a to both sides:

Divide both sides by 5:

Hence,b = 49/5 - 7a/5.

The measure of angle OED is the measure of angle OBD. Then the correct option is C.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Circle O is shown.

Line segment JE is a diameter and line segment OB is a radius.

A line is drawn from point J to point B to form a chord.

Tangents BD and ED intersect at point D outside the circle.

The radius and tangent are orthogonal to each other.

∠OED = ∠OBD = 90°

Then the correct option is C.

The complete question is given below.

Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.

Use the diagram to complete the statements.

The measure of angle EJB is the measure of angle BOE.

The measure of angle BDE is the measure of angle BOE.

The measure of angle OED is the measure of angle OBD.

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Answer:

one-half, 180 minus, equal to

Step-by-step explanation:

Answer: The best estimate of the number of miles that Alexia run is 4 miles.

Step-by-step explanation:

Since we have given that

Length of lap is given by

Number of laps around her neighborhood = 3

So, Total number of miles that Alexia ran is given by

Hence, the best estimate of the number of miles that Alexia run is 4 miles

Answer: It rounds to 28 km

Explanation:

The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.

So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.

The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9

Refer to the number line diagram below.

C is the right answer.

hope it helps...

Answer:

C.

Step-by-step explanation:

Calculating this in Desmos, the closest equation to the points on the graph will have to be c

Answer:

[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]

Step-by-step explanation:

⇒ 3(4a + 2)

⇒ 3(4a) + 3(2)

⇒ 12a + 6

Answer:

A) 3(4a + 2) = 12a + 6

Step-by-step explanation:

This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.

3 * 4a = 12a

3 * 2 = 6

So then, as you can see, the answer would be 12a + 6.

This is another explanation, even though they are LITERALLY the same.

Apply the distributive property.

3 (4a) + 3 ⋅ 2

Multiply 4 by 3.

12a + 3 ⋅ 2

Multiply 3 by 2.

12a + 6

Brainliest pls

P(more than 1 hour of TV | 6th period class) is  0.352.

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

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Answer:

32

(this is just an approximation due to the left triangle)

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

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The answer to this question is (A) left.