Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Elizabeth are 3 meters apart, and Manuel and Hannah are 5 meters apart, what is the distance between Elizabeth and Manuel?

Answer:

c) 0

Step-by-step explanation:

C) -0.0035A + 70 = -0.0035 * 2000 +70

                       = -70 + 70 = 0

Answer:

Which equations have no solution ? Select all that apply .

A ) x+5 = x - 5 (no solution)

B)0.5y=0 (solution, y=0)

C) x-7= x -7 (all real numbers)

D) 9 ( -1 + x ) +1 = 12x + 1 (solution, x=-3)

E ) 8+4. f = 4 (3+ f ) (no solution)

Step-by-step explanation:

- Hope this helps! If you would like an explanation please let me know as I would be glad to help.

Answer:

Let's consider:

Car rent function: [tex]C(x)=240+0.25x[/tex]

Minivan rent function: [tex]M(x)=180+0.40x[/tex]

[tex]C(x)=M(x)[/tex]

[tex]240+0.25x=180+0.40x[/tex]

[tex]60=0.15x\\x=400[/tex]

Finally:  After how many miles is the total charge for each vehicle the same?

After 400 miles.

The constant of proportionality, o slope, is the coefficient multiplying [tex]x[/tex] in the equation. The y-intercept is the constant term added at the end, with no variable:

[tex]y=mx+b[/tex]

Answer:

1. m = -3

2. b = 2

Step-by-step explanation:

Using slope-form equation, y = mx+b where m is the gradient of the line and b is the y-intercept. So in the equation, y = -3x + 2, m is -3 and b is 2.

Answer:

-3

Step-by-step explanation:

3*-3=-9

-9-20=-29

To find the number, we can represent it as 'x' and create an equation. By isolating 'x' using addition and division, we find that the number is -3.

To solve this problem, let's represent the number as 'x'. The product of 3 and the number can be written as 3x. According to the problem, 20 less than 3x is equal to -29.

We can write this as: 3x - 20 = -29. To find the value of x, we need to isolate x. Adding 20 to both sides of the equation, we get: 3x = -9.

Finally, dividing both sides by 3, we find that the number is x = -3.

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Answer:

y=4x+13

y=3x2-x-1

Step-by-step explanation:

the two are only functions given in the option

Answer:

Yes, because living is something that actually lives - it needs water, food, and things like that. Existing, on the other hand, is different. Anything can exist.

Answer:

The answer is shown in the picture☝️.

Formula :

cos(π/2 - x) = sin x

cos(π - x) = -cos x

cos²x + sin²x = 1

loga(b) + loga(c) = loga(b×c)

Steps to solve:

5 - 5cos(π/2 - x) = 2cos²(π - x)

~Use an identity to simplify cos(π/2 - x)

cos(π/2 - x) → sin(x)

~Use an identity to simplify cos(π - x)

cos(π - x) → -cos(x)

~Put back into an expression

5 - 5sin(x) = 2(-cos(x))²

~Simplify

5 - 5sin(x) = 2cos²(x)

~Subtract 2cos²(x) to both sides

5 - 5sin(x) - 2cos²(x) = 2cos²(x) - 2cos²(x)

~Simplify

5 - 5sin(x) - 2cos²(x) = 0

~Use an identity to simplify

5 - (1 - sin²(x)) * 2 - 5sin(x) = 0

~Simplify

3 + 2sin²(x) - 5sin(x) = 0

~Let sin(x) = u

3 + 2u² - 5u = 0

~Use the quadratic formula to solve for u.

[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(2)(3)} }{2(2)}[/tex]

[tex]u = \frac{3}{2}, u=1[/tex]

~Substitute back with sin(x) = u

sin(x) = 3/2 or sin(x) = 1

Steps to solve:

log₂(1 - x) + log₂(-5x - 2) = 2 + log₂3

~Apply log rule

log₂((1 - x(-5x - 2)) = 2^2+(log₂(3)

~Use log definition

(1 - x)(-5x - 2) = 2^2+log₂(3)

~Expand both sides

5x² - 3x - 2 = 12

~Subtract 12 to both sides

5x² - 3x - 2 - 12 = 12 - 12

~Simplify

5x² - 3x - 14 = 0

~Use the quadratic formula to solve

[tex]x = \frac{-(-3)+-\sqrt{(-3)^2-4(5)(-14)} }{2(5)}[/tex]

~Simplify

x = 2 or x = -7/5

Best of Luck!

Answer: 24

4: 4,8,12,16,20,24

8: 8,16,24,32,40,48

12: 12,24,36,48,60,72

Answer:

X = 3x + 3

And

X = 4/3y + 4

This is from usatestprep

Answer:

all work is shown and pictured

Answer:

my guy did you repost this as I just answered this about ten minutes ago

Answer:

HE WAS LAST SEEN HEADING NORTH

Step-by-step explanation:

360: A

25×10×40 = 10000: I

(15×10.5×20)/450 = 7: W

(35×16×50)/800 = 35: S

3168/(22×9) = 16: N

cuberoot(64) = 4: R

6.5×15×8.5 = 828.75: G

4×2×3 = 24: E

3885/(18.5×15) = 14: H

3³ = 27: T

½ (7×9×12) = 378: L

30×20×11 = 6600: D

3600/(2×4÷5) = 90: O

Answer: His heart rate his slow

Step-by-step explanation:

Because his heart in the graph does not match the table since the second coordinate is somewhere near 128 the line doesn’t go on that side.

Answer:

D. 5.0

Step-by-step explanation:

When the ball hit the ground, height h =0

So,

h= -4.9t² + 25t

0 = -4.9t² +25t

t(-4.9t+25)=0

t=0 (start) , and -4.9t+25=0,   4.9t =25,    t≈5.1(finish)

D.5.0

That is Correct ^^^^

The given measures of AB, AOB, and BDA are correct angles,

AB= 50°

AOB= 50°

BDA=25°

First, notice that angle AOB is an inscribed angle that intercepts arc AB, which means its measure is half of the measure of arc AB. Therefore, to find the measure of angle AOB, we just need to divide the measure of arc AB by 2:

arc AB = 360° - arc AD - arc BD = 360° - 212° - 98° = 50°

∠AOB = arc AB / 2 = 50° / 2 = 25°

Next, angle BDA is an angle formed by a tangent and a chord that intersects the tangent at the point of tangency. This means that angle BDA is equal in measure to half of the measure of the intercepted arc BD. Therefore, we just need to divide the measure of arc BD by 2 to find the measure of angle BDA:

∠BDA = arc BD / 2 = 98° / 2 = 49°

So far, we have found that AB = 50°, AOB = 25°, and BDA = 49°.

Finally, to check our work, we can use the fact that angles AOB and BDA are vertical angles, which means they are equal in measure. Therefore, we can add their measures and compare the result to the measure of angle AOD:

∠AOD = 180° - arc AD = 180° - 212° = -32° (counterclockwise)

∠AOB + ∠BDA = 25° + 49° = 74°

Since the sum of angles AOB and BDA is less than 180°, we know that angle AOD must be greater than 180°, which means we need to add 360° to its measure to get its actual measure:

∠AOD = -32° + 360° = 328° (clockwise)

Now we can check that angle AOB + angle BDA = angle AOD:

25° + 49° = 74° = 328° (mod 360°)

So our values for AB, AOB, and BDA are correct.

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Answer:

I would love to answer your question, but where is the table.

Answer:

X=5

Step-by-step explanation:

2X+7=5X-8

7=3X-8

15=3X

5=X

Answer:

X=5

Step-by-step explanation:

Answer:

W =1 1/4Step-by-step explanation:

Let W = what

W - 1/2 = 3/4

Add 1/2 to each side

W -1/2 +1/2 = 3/4+1/2

W = 3/4+1/2

Getting a common denominator of 4

W =3/4+1/2*2/2

W =3/4 +2/4

W = 5/4

Changing to a mixed number

W = 4/4 +1/4

W = 1 +1/4

W =1 1/4

To solve the question 'What minus 1/2 equals 3/4', we set up the equation X - 1/2 = 3/4. We then solve for X by adding 1/2 (equivalent to 2/4) to both sides, resulting in X = 5/4 or X = 1 1/4.

To solve the equation What minus 1/2 equals 3/4, you are basically looking for a number that when subtracted by 1/2 gives 3/4. To find this, we can use the basics of algebra.

Let's let the 'What' variable be X. So the equation becomes: X - 1/2 = 3/4. To solve for X, you would add 1/2 to both sides of the equation. The result is:

X = 3/4 + 1/2.

These are both fractions so we add them according to the rules of adding fractions. Finding a common denominator for the fractions, in this case, 4, we rewrite 1/2 as 2/4. The equation now reads X = 3/4 + 2/4.

Adding them gives us X = 5/4, or, written as a mixed fraction, X = 1 1/4.

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Answer:

It is not 37, it is 34

Step-by-step explanation:

\underline{\text{Define Variables:}}

Define Variables:

​

May choose any letters.

\text{Let }s=

Let s=

\,\,\text{the number of student tickets sold}

the number of student tickets sold

\text{Let }a=

Let a=

\,\,\text{the number of adult tickets sold}

the number of adult tickets sold

\text{\textquotedblleft at most 96 people"}\rightarrow \text{96 or fewer tickets}

“at most 96 people"→96 or fewer tickets

Use a \le≤ symbol

Therefore the total number of tickets sold, s+as+a, must be less than or equal to 96:96:

s+a\le 96

s+a≤96

\text{\textquotedblleft no less than \$990"}\rightarrow \text{\$990 or more}

“no less than $990"→$990 or more

Use a \ge≥ symbol

Each student ticket sells for $7.50, so ss student tickets will bring in 7.50s7.50s dollars. Each adult ticket sells for $12.50, so aa adult tickets will bring in 12.50a12.50a dollars. Therefore, the total amount of revenue 7.50s+12.50a7.50s+12.50a must be greater than or equal to \$990:$990:

7.50s+12.50a\ge 990

7.50s+12.50a≥990

\text{Plug in }59\text{ for }a\text{ and solve each inequality:}

Plug in 59 for a and solve each inequality:

Colton worked 59 adult tickets

\begin{aligned}s+a\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50a\ge 990 \\ s+\color{green}{59}\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50\left(\color{green}{59}\right)\ge 990 \\ s\le 37\hspace{10px}\text{and}\hspace{10px}&7.50s+737.50\ge 990 \\ \hspace{10px}&7.50s\ge 252.50 \\ \hspace{10px}&s\ge 33.67 \\ \end{aligned}

s+a≤96and

s+59≤96and

s≤37and

​

7.50s+12.50a≥990

7.50s+12.50(59)≥990

7.50s+737.50≥990

7.50s≥252.50

s≥33.67

​

\text{The values of }s\text{ that make BOTH inequalities true are:}

The values of s that make BOTH inequalities true are:

\{34,\ 35,\ 36,\ 37\}

{34, 35, 36, 37}

Therefore the minimum number of student tickets that the drama club must sell is 34.

Answer:

  A)  The number of hours spent painting each house

Step-by-step explanation:

You know that the cost of painting will include the product of the hourly cost (55 or 25) and the number of hours.

The equations have x multiplied by 55 or 25, so it is reasonable to assume that ...

  x represents the number of hours spent painting

Answer:

not sure about 1

for number 2 it is 5 over 4 . for y, 5 10 15 20 is a multiple of 5 so the change is 5. for x, 4 8 12 16 is a multiple of 4 so the change is 4.

Answer:

(-2.4,-1)

Step-by-step explanation:

Answer:

(-2.4, -1)

Step-by-step explanation:

When you mirror a point across the y-axis, which is the vertical axis, the x-coordinate changes it's sign from either positive to negative or negative to positive.

The base of the ladder needs to be positioned approximately 27.3 feet away from the wall.

Let's consider the ladder as the hypotenuse of a right triangle, where one leg represents the distance from the building (let's call it 'x'), and the other leg is the height of the window above the ground (10 feet). The angle between the ground and the ladder is given as 68°.

We can use the tangent function, which is defined as the ratio of the opposite side (height of the window) to the adjacent side (distance from the building):

tan(θ) = Opposite / Adjacent

In this case, tan(68°) = 10 feet / x

To find 'x,' we can rearrange the equation:

x = 10 feet / tan(68°)

Now, we can plug the values into a calculator to get the answer:

x ≈ 27.3 feet

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Answer:

x=15

Step-by-step explanation:

Answer: x =15.

Step-by-step explanation:

100 - 6x = 160 - 10x

-6x = 160 - 10x - 100

-6x = 60 - 10x

4x = 60

x = 15

2y + 1 - x = 7x

2y + 1 = 8x

2y = 8x - 1

y = 4x - 1/2

[tex]\huge \boxed{\boxed{\textbf{See attached graph}}}[/tex]

Adding a constant [+6] to [f(x)] shifts the entire graph of [f(x)] vertically up by 6 units. This means that every y-value of the original function will increase by 6.

We need to identify a few key points on the original graph of f(x). For example the [f(x)] given has points:

[tex]\boxed{\begin{minipage}{7 cm}Applying Transformation \\ \\(0,-2) \xrightarrow[\text{}]{\text{y+6 = -2+6}} (0,4) \\ \\(1,2) \xrightarrow[\text{}]{\text{y+6 = 2+6}} (1,8) \\ \\(2, 6) \xrightarrow[\text{}]{\text{y+6 = 6+6}} (2,12)\end{minipage}}[/tex]

We can shift each point on the original graph 6 units up. For each point  [(x, y)] on [f(x)], plot the new point at [(x, y + 6)]

After plotting the transformed points, connect them to form the new line, which will be parallel to the original line and shifted 6 units up.

[tex]\hrulefill[/tex]

Answer:

log(18/(p+2))

log StartFraction 18 Over p + 2 EndFraction

Second option is the correct.

Step-by-step explanation:

There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:

log(x) - log(y) = log(x/y)

So, with we have log18 – log(p + 2), we can rewrite as:

log18 – log(p + 2) = log(18/(p+2)), that is:

log StartFraction 18 Over p + 2 EndFraction

Second option is the correct.

Answer:

B

Step-by-step explanation: