The interior angles formed by the sides of a quadrilateral have measures that sum to 360°. What is the value of x? Enter your answer in the box. x =

The generic form of straight line consisting of slope and y intercept  is given by

y = mx + c

Where 'm' is the slope of the straight line  and 'c' is the y-intercept

In the problem, it is given that slope of the line is 2/3 and y intercept is -2 :

m = ²/₃

c = -2

By putting these values in the equation above, we get:

y = ²/₃x - 2

Hence, the second option is correct.  

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Final answer:

To find the ratio of the car's length to the model's length, first convert the car's length to inches (120 inches), then compare it to the model's length (7 inches), which gives a ratio of 120 : 7.

Explanation:

The question asks for the ratio of the length of the car to the length of the model. First, it's essential to convert both measurements to the same unit for an accurate comparison. The car is 10 feet long, and since 1 foot equals 12 inches, the car's length in inches is 10 feet × 12 inches/foot = 120 inches. The model is 7 inches long. Therefore, the ratio of the length of the car to the length of the model is 120 inches to 7 inches, which simplifies to 120 : 7.

The solution of graphed equations is the point of intersection of the equations.

The ordered pair that represent the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

From the graph, we have the following highlights.

So, the coordinates are 2 and 0

Hence, the ordered pair that represents the solution is [tex]\mathbf{(b)\ (2, 0)}[/tex]

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The numbers in decreasing order as 76.343, 76.342, 76.332, 76.232.

Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.

Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.

we have the given numbers as

76.342, 76.332, 76.232, 76.343

Here the largest numbers to the least numbers, it is said to be in descending order.

⇒ 76.343 > 76.342 > 76.332 > 76.232

we have to determine the descending order of given numbers

Arrange the numbers in decreasing order.

⇒ 76.343, 76.342, 76.332, 76.232

Hence, the numbers in decreasing order as 76.343, 76.342, 76.332, 76.232

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Increasing the sample size by a factor of 4 or multiplying it by 4 is equal to increasing the standard error by 1/2.  Therefore, the interval will be half as varied.  This also works almost for population averages as lengthy as the multiplier from the t-curve doesn't modify much when increasing the sample size.

We can see that

when it is extrapolated

The curve is going downward

and it is till it touches temperature axis

so, we can find point there

It intersects at temperature =-280C

Since, it is x-intercept

so, y will be 0 at that point

so, Volume will be 0 when temperature is -280C

and this is absolute zero definition of volume function

so, Absolute zero.........Answer

Let

a-------> the shorter side of the rectangle

b------> the longer side of the rectangle

we know that

[tex]b=3a[/tex]

therefore

the dimensions of the rectangle are

[tex]3a*a[/tex]

the answer is

the coordinates of the top-right vertex are [tex](3a,a)[/tex]

Answer:

[tex]\large\boxed{551.5\%=5\dfrac{103}{200}}[/tex]

[tex]\large\boxed{0.5\%=\dfrac{1}{200}}[/tex]

[tex]\large\boxed{350\%=3\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\27)\ 551.5\%=\dfrac{551.5}{100}=\dfrac{551.5\cdot10}{100\cdot10}=\dfrac{5515}{1000}=\dfrac{5515:5}{1000:5}=\dfrac{1103}{200}=5\dfrac{103}{200}\\\\29)\ 0.5\%=\dfrac{0.5}{100}=\dfrac{0.5\cdot10}{100\cdot10}=\dfrac{5}{1000}=\dfrac{5:5}{1000:5}=\dfrac{1}{200}\\\\31)\ 350\%=\dfrac{350}{100}=\dfrac{35}{10}=\dfrac{35:5}{10:5}=\dfrac{7}{2}=3\dfrac{1}{2}[/tex]

Answer: (-2,7)

Step-by-step explanation:

if the function is mirrored about the y axis, it is even

 use -x in place of x and compare the equations

lets use 2 for x

 so given formula would be 5-3(2) = 5-6 = -1

replace x with -x you would have 5-3(-2) =5-(-6) = 5+6 =11

since -1 does not = 11 the function is neither

even =f(x), odd = -f(x), neither f(x) doesn't equal -f(x)

example of odd:

f(x) = x^5 +x, replace x with -x

f(-x) = (-x)^5 +-x

=-x^5-x

=-(x^5+x)

=-f(x)

ODD

Example of even:

f(x) = 1-x^4

f(-x) = 1-(-x)^4

=1-x^4

=f(x)

EVEN

Example of Neither:

f(x) = 2x-x^2

f(-x) = 2(-x)-(-x)^2

=-(2x+x^2)

does not equal f(x)

NEITHER

Answer:

Option D is correct .i.e., Vertical translation down 9 units

Step-by-step explanation:

Given Function is y = cosec x - 9

Here basic function or parent function is y = cosec x

1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.

2.  When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.

Therefore, Option D is correct .i.e., Vertical translation down 9 units

To estimate 75 x 5 you first need to round 75 to 80 and then solve the multiplication.

Estimating numbers implies rounding them if possible to simplify mathematical operations. Let's then round the numbers given:

75 = It can be rounded to 80, which is the nearest multiple of 10.

5 = It does not need to be rounded as this is already a simple number

Now after rounding each of the numbers involved, let's solve the mathematical operation, which in this case is multiplication.

80 x 5 = 400

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To determine how long it will take for $4000 to grow to $10000 with an interest rate of 9% compounded monthly, we can use the formula for compound interest and solve for t. The time t is approximately 7.17 years.

To find out how long it will take for $4000 to grow to $10000 at an interest rate of 9% compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = total amount after time t
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years

By plugging in the given values, we can solve for t:

$10000 = $4000(1 + 0.09/12)^(12t)

Dividing both sides by $4000, we get:

2.5 = (1 + 0.0075)^(12t)

Taking the natural logarithm of both sides, we have:

ln(2.5) = ln(1.0075)^(12t)

Using logarithmic properties, we can isolate t:

12t = ln(2.5) / ln(1.0075)

t = ln(2.5) / (12 * ln(1.0075))

Calculating the value of t, we find that it will take approximately 7.17 years for the account to reach $10000.

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