#16 What are the coordinates of S?

Answer:

1) x = ln(7) -1

2) x = [tex]\frac12(3+e^5)[/tex]

Step-by-step explanation:

In the first one, take the ln left and right and isolate x.

In the second one, take the e power left and right and isolate x.

Answer:

x = -4/3

Step-by-step explanation:

First, expand.

3 - 2(x - 4) = -5x - 7

Then, combine like factors.

3 - 2x + 8 = -5x + 7

11 - 2x = -5x + 7

Add 5x to both sides.

(11 - 2x) + 5x = (-5x + 7) + 5x

11 + 3x = 7

Subtract 11 from both sides.

(11 + 3x) - 11 = 7 - 11

3x = -4

Divide both sides by 3

(3x)/3 = -4/3

x = -4/3

Answer:

x = -6

Step-by-step explanation:

3-2(x-4)= -5x-7

Distribute

3 -2x +8 = -5x -7

Combine like terms

11 -2x = -5x -7

Add 5x to each side

11 -2x+5x = -5x-7+5x

11+3x = -7

Subtract 11 from each side

11+3x-11 = -7-11

3x = -18

Divide by 3

3x/3 = -18/3

x = -6

Answer:

1/3

Step-by-step explanation:

1/4×3/2×8/9

Rewriting

8/4 * 3/9 *1/2

Simplify

2 * 1/3 * 1/2

Rewriting

2/2 * 1/3

1 * 1/3

1/3

Answer:

See answer in the image below.

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

The possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have the given statement that 1.4 < √2 < 1.5

We have to determine the possible values of  2-√2 as 2+(-√2).

According to the question,

⇒ 1.4 < √2 < 1.5

Multiply by a minus sign (-) in the inequality

⇒ -1.4 > -√2 > -1.5

Adding 2 in the inequality

⇒ 2-1.4 > 2 -√2 > 2-1.5

⇒ 0.6  > 2 -√2 > 0.5

Hence, the possible values of  2-√2 will be in the range is 0.6  > 2 -√2 > 0.5.

Learn more about the inequalities here:

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Answer:

(a)

291.7 = 2.917*10²

291.7 = 2917*10⁻³

(b)

0.0960  = 9.6*10⁻²

0.0960  = 96*10⁻³

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

Answer:

0.943125.

Step-by-step explanation:

I used an website which is Desmos.com. it works great and is very helpful. you should give it a try.

Answer:

Options 2, 3, and 4

Step-by-step explanation:

So overall Dominique gets $3 plus $1.25/mile and totals out $11.75

If we call the miles driven x, like they say, then the equation for earnings is:

1.25x+3=11.75

or some variation of that. We can see that as option 4, but a closer look at the other options shows us that options 2 and 3 are also true. These choices are simply the original equation correctly multiplied by a factor of 2 (the other options are incorrect multiplications).

So those are our answers.

Answer:

x=5

Step-by-step explanation:

4x−8=12

4x-8+{\color{#b14ba5}{8}}=12+{\color{#b14ba5}{8}}

4x−8+8=12+8

simplify

4x=20

divide both sides of the equation by the same term

4x=20

4

4x

​  

=  

4

20

​

the answer is

x=5

Steps to solve:

-4x - 8 = 12

~Add 8 to both sides

-4x = 20

~Divide -4 to both sides

x = -5

Best of Luck!

Answer:

here u go

Step-by-step explanation:

16 /5      =3 and 1 over 53  1 /5=3.2

Answer:

A. 15%

Step-by-step explanation:

Answer:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Step-by-step explanation:

Given that:

a) [tex]f(x) = 6x[/tex]

b) [tex]f(x) = 2x - 3[/tex]

c) [tex]h(t) = t^3 - 5[/tex]

The objective is to state in words the rule defined by each of the functions

We are being given the first question as a sample that:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

here's the answers

The angle above the y is 90 degrees ( shown by the little square)

The 3 inside angles of a triangle need to equal 180.

Y = 180 - 90 - 48

Y = 42

Answer: y = 42°

Step-by-step explanation:

Triangle Sum Theorem states the sum of the angles of a triangle is 180°

y + 48° + 90° = 180°

y + 138° = 180°

y = 42°

Answer:

it a rational number

Step-by-step explanation:

there is always an odd exponent. So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.

Answer:

45

2

03

16

26

224

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

Answer:

[tex]\frac{xy^{3}}{25}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]

Required

Simplify the given expression

[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]

Start by applying law of indices

[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]

[tex]\frac{5xy^{3}}{125}[/tex]

Divide numerator and denominator by 5

[tex]\frac{xy^{3}}{25}[/tex]

Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]

Answer : -Idenify the slope, and the y-intercept, then graph.

-Find the x - and y - intercept and then graph.

Step-by-step explanation:

Options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.

A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changing conditions, often over a certain time interval.

For the given situation,

The line graph consists of a horizontal x-axis and a vertical y-axis.

Methods to graph a line are

Hence we can conclude that options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.

Learn more about line graph here

https://brainly.com/question/23680294

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Answer:

d

Step-by-step explanation:

Answer:

0.9544

Step-by-step explanation:

Given that, his bell shapes and hence follows a normal distribution.

Mean (x) = 25.6 ; standard deviation (s) = 0.9

Approximate proportion of observation that lies between 23.8 and 27.4

Taking the Zscores of both values :

X - mean / standard deviation

(23.8 - 25. 6) / 0.9 = - 1.8/0.9 = - 2

P(Z < - 2) = 0.0228

Also;

(27.4 - 25.6) / 0.9 = 1.8 / 0.9 = 2

P(Z> 2) = 0.9772

0.9772 - 0.0228 = 0.9544

Answer:

[tex]\huge\boxed{\mathrm{Yes.}}[/tex]

Step-by-step explanation:

If the two lines are perpendicular, Multiplying their slopes must give the result of -1.

=> [tex]\sf -\frac{2}{9} * \frac{9}{2}[/tex]

=> -1

Since, the result of multiplying these slopes give -1, So, the two lines are perpendicular.

Answer:

16

Step-by-step explanation:

Answer:

A. Vertical translation

Step-by-step explanation:

Edge test

Answer:

21

Step-by-step explanation:

Answer:

9.1 or 10 weeks

Step-by-step explanation:

First you need to create an equation: 150 + 45w = 560

You need to get the w by itself. To do this we need to take 150 from both sides: 150 (-150) + 45w = 560 (-150)

45w = 410

Now we have to divide both sides by 45:

w = 9.1

So it took Briyana just over 9 weeks to save $560 for spring break

I hope this helps  

Let's work this out using the inequality it suggests.

We can use the form [tex]y=mx+b[/tex], but have the equals sign substitute out for whatever sign we need.

When you need to buy something, do you need to have more, less, or the same amount of money to buy something?

You need to have at least the same amount of money.

Which means that we'll be using the ≥ sign.

[tex]y\geq mw+b[/tex]

Now let's substitute in some values we know.

She has 150 to start off with, think of this as the y-intercept of the graph.

What variable represents the y-intercept?

You should've said b.

[tex]y\geq mw+150[/tex]

Now how much is she saving her week? $45.

Since this is how much she's saving every week, this represents the slope.

[tex]y\geq 45w+150[/tex]

Now, we can solve this plugging in 560 for [tex]y[/tex], which is how much money she needs.

[tex]560\geq 45x+150[/tex]

[tex]410\geq 45w[/tex]

[tex]\frac{82}{9}\geq w[/tex]

[tex]\frac{82}{9}[/tex] is 9.111 (repeating), but we need to round up to the nearest whole number because she probably doesn't deposit money constantly during the week, and rather all at once.

Which means that she needs to save money for 10 weeks to have enough money for the spring break trip.

Hope this helps.

頑張って!

Answer:

[tex]Volume = \frac{220}{7}r^2[/tex]

Step-by-step explanation:

Given

Height = 10cm

See Attachment for complete question

Required

Determine the volume of the circle

The volume is calculated as thus;

[tex]Volume = \pi r^2h[/tex]

Take [tex]\pi[/tex] as [tex]\frac{22}{7}[/tex]

So; Volume becomes

[tex]Volume = \frac{22}{7} * r^2 * h[/tex]

Substitute 10 for h

[tex]Volume = \frac{22}{7} * r^2 * 10[/tex]

[tex]Volume = \frac{220}{7} * r^2[/tex]

Since, the value of the radius is not given;

The volume of the circle is:

[tex]Volume = \frac{220}{7}r^2[/tex]