What is the name of a polygon that has four congruent sides and these angle
measures: 60°, 120°, 60°, 120°?
A. Rectangle
B. Rhombus
C. Trapezoid
D. Square

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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Using proportions, it is found that the correct statement is:

B. The claim could not be true because her new monthly energy bill would be - 10% de the previous monthly energy bill. This is impossible since the bill cannot be negative.

In this problem, first we suppose that she had saved 90% on her monthly energy bill, so compared to the previous month, the amount paid would be of:

100 - 90 = 10%.

Considering savings of 110%, the amount paid would be of:

100 - 110 = -10%.

This would result in a negative bill, which does not exist, hence option B is correct.

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Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

We want to find the constant of proportionality for a proportional relationship, we will find that the constant of proportionality is 6.

A general proportional relationship is written as:

y = k*x

Where k is the constant of proportionality.

Here, we have the table:

x     y

20  120

18   108

12   72

5    30

Replacing these pairs in the general proportional relationship we can find the value of the constant, for example for the first pair we have:

30 = k*5

30/5 = k = 6

For the second pair we have:

72 = k*12

72/12 = k = 6

That is enough to prove that the constant of proportionality is equal to 6.

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Answer:

A scale of 3

Step-by-step explanation:

dd2d2de2f3f

The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000

-1/1, -1/2, -1/9, -1/64

This can be written as;

-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9

So,

First term = -1/1,

Second term = -1/2,

Third term = -1/9,

Fourth term = -1/64,

Fifth term = -1/625,

Sixth term = -1/7,776,

Seventh term = -1/117,649,

Eighth term = -1/2,097,152,

Ninth term = -1 / 43,046,721,

Tenth term = -1/1,000,000,000

Therefore, the 10th term is -1/1,000,000,000

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Answer:

D

Step-by-step explanation:

Answer:

D. \(8a^{9} -4a^{3} +1\)

Step-by-step explanation:

Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :

Solve for \(r(2a^{3} )\) :

1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)

2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)

3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Answer:

So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).

Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Answer:

\(\frac{8}{9}\) is water

Step-by-step explanation:

450 ml of squash with 50 ml of cordial , then

amount of water = 450 - 50 = 400 ml

Fraction of water = \(\frac{400}{450}\) ( divide numerator/ denominator by 50 )

fraction of water = \(\frac{8}{9}\)

Step-by-step explanation:

it is the other way around based on the description.

450 ml are made by mixing (diluting) 50 ml with water.

that means that of the 450 ml 50 ml are cordial, and the rest (450-50 = 400 ml) is water.

therefore, 1/9 is the fraction of cordial, but 8/9 is the fraction of water.

50/450 = 1/9

400/450 = 8/9

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

\(y=\frac{x}{2} -5\)

Step-by-step explanation:

Linear functions are those whose graph is a straight line.

A linear function has the following form: \(y=f(x)=a+bx\)

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

The degree of a linear equation must be 0 or 1 for each of its variables.

1. The degree of the variable y is 1 which means it is not linear.

2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.

3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.

4. The degrees of the variable violates the linear equation definition so it is not linear.

Answer:

t=6

Step-by-step explanation:

They could go for 6 hours as 6x5=35 and the $14 fee is 49 so it would be 5(6)+14=49 when t=6

hope this helps

Answer:

x=-4.5

Step-by-step explanation:

2x+8=-1

step 1 subtract each side by 8

8-8 cancels out

-1-8=-9

now we have

2x=-9

step 2 divide each side by 2

2/2 = cancels out

\(\frac{-9}{2} =-4.5\)

x=-4.5

hope this helps!

Answer:38

Step-by-step explanation:

Step-by-step explanation:

what is your questions

Answer:

The answer would be 13.5 pints

Step-by-step explanation:

when you do 2 gallons - 2 pints you get 1.75 gallons

then when you do 1.75 - 1 cup you get 13.5 pints

Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

7(x+3)=5x−3

Step 1: Simplify both sides of the equation.

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Step 2: Subtract 5x from both sides.

7x+21−5x=5x−3−5x

2x+21=−3

Step 3: Subtract 21 from both sides.

2x+21−21=−3−21

2x=−24

Step 4: Divide both sides by 2.

2x

2

=

−24

2

x=−12

Answer:

x=−12

Answer:X=-12

Step-by-step explanation:Simplify both sides of the equation

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Subtract 5x from both sides

7x+21−5x=5x−3−5x

2x+21=−3

Subtract 21 from both sides

2x+21−21=−3−21

2x=−24

Divide both sides by 2

2x/2=-24/2

X=-12

Answer:

Step-by-step explanation:

D. 2 × 4 = 8 and E. 1 × 6 = 6 can be used to find 3 × 6.

You can use the fact that 3 × 6 = (2+1)×6 = 2×6 + 1×6 = 12 + 6 = 18.

It takes 0.7143 seconds for the ball in the air to hit the ground.

Therefore the answer is 0.7143 s.

The time it takes for the ball to hit the ground can be calculated using the formula for vertical motion with constant acceleration (g = 9.8 m/s²):

t = √(2 * h / g)

where h is the height the ball is thrown and t is the time it takes to hit the ground.

Plugging in the values to find time:

t = √(2 * 2.50 m / 9.8 m/s²)

t = √(0.51) s

t = 0.7143 s

So, the ball is in the air for approximately 0.7143 seconds before it hits the ground.

--The question is incomplete, answering to the question below--

"A student standing on the wall throws a ball straight up. The ball leaves the student's hands with a speed of 19.0 m/s when the hand is 2.50 m above the ground.

How long is the ball in the air before it hits the ground? (the student moves her hand out of the way.)"

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Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

\(P(x=4) = 0.200\)

Step-by-step explanation:

Given

\(n=10\) --- selected customers

\(x = 4\) --- those that are expected to use the restroom

\(p =30\% = 0.30\) --- proportion that uses the restroom

Required

\(P(x = 4)\)

The question illustrates binomial probability and the formula is:

\(P(x) = ^nC_x * p^x * (1 - p)^{n - x}\)

So, we have:

\(P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}\)

\(P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6\)

\(P(x=4) = 210* (0.30)^4 * (0.70)^6\)

\(P(x=4) = 0.200\)

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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Answer:

(C) 10.00 dolllars

Step-by-step explanation:

To find the unit price, we have to divide the amount of items by the total cost, and that's our answer. So here, 30.00 divided by 3 = 10.00.

Hence, your answer is $10.00

The domain of the graph is [0,14] and the range of the graph is [0, 7]

In this question, we have been given a graph of height of a falling object.

In this graph, x-axis represents the time in seconds and y-axis represents the height in meters.

We know that, the domain of a graph consists of all the input values which are on the x-axis and the range is the set of possible output values, which are shown on the y-axis.

In this graph we can see that the input (time) takes the values between [0, 14] and the output (height) has values in the interval [0, 7]

Therefore, the domain of the graph is [0,14] and the range of the graph is [0, 7]

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Answer:

Solutions for x are 2, 1/3

Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.

Answer:

:)

Step-by-step explanation:

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

\((a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)\)  is a differential equation.

If \(Q(x) \neq 0\)

It is non homogeneous then,

The general solution  = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution =  complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

\($(2D^3+15D^2+24D+11)y=0$\)

Auxiliary equation,

\($2m^3+15m^2+24m +11 = 0$\)

-1  | 2    15    24     11

    | 0   -2    - 13    -11  

      2    13    11       0

∴ \(2m^2+13m+11=0\)

The roots are

\($=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$\)

\($=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$\)

\($=\frac{-13\pm9}{4}$\)

\($=-5.5, -1$\)

So, \(m_1, m_2, m_3 = -1, -1, -5.5\)

Then the general solution is :

\($= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$\)

Answer:

sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points

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Step-by-step explanation:

Answer:

ty for the points.

Step-by-step explanation: