Which graph represents an equation with the values shown in the table?

Answer:

0

Step-by-step explanation:

1/3+8/3+(-12)  / 4

1/3+8/3-3= 0

Answer:

0

Step-by-step explanation:

Two scenarios that create right angle are 3 and 4.

In both the situations, Pythagoras theorem get satisfy with the sides which theorem is only applicable when there is right angle in the triangle.

Here's the explanation using 3 as an example :

From the statement we can assume that height of the window as the perpendicular(P) and distance from base(B) of the building to William as base of the triangle and line distance from Tom to William as hypotenuse(H) of the triangle.

Therefore, H = 130, B= 36.4 and P = 124.8

By Pythagoras theorem,

H² = P² + B²;

130² = 124.8² + 36.4²,

16900 = 15575.04 + 1324.96,

16900 = 16900

Hence satisfy the Pythagoras theorem, therefore triangle is right angle.

Similarly for the 4 statement.

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Answer:

x=2.6

Step-by-step explanation:

We can use the Pythagorean theorem to find the third side

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 4^2  where x is the unknown side

9 + x^2 = 16

Subtract 9 from each side

x^2 = 16-9

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x =2.645751311

Rounding to the nearest tenth

x = 2.6

Answer:

2.65

Step-by-step explanation:

take the length of the third side as x

so,take Pythagoras theorem

4^2=3^2+x^2

16=9+x^2

x^2=16-9

x^2=7

x=√7

x=2.645

x=2.65

Answer:

C i think... sorry if im wrong

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

Since she starts with 105, then deposited 45, you can add them to get: 150.

She withdrew 50, so:150-50=100

Then she deposited 20, so 100+20=120

Answer:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

\(ax^2+bx+c\)    (1)

You have the following polynomial:

\(3x^2-10x+8\)    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

\(x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

\(x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}\)

Then, the factorization of the polynomial is:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

Answer:

x = 5

y = -3

Step-by-step explanation:

\(9x + 2y = 39 \: \: \: \: \: \: \: \: \: (2)\\ 6x + 13y = - 9 \: \: \: \: \: \: \: \: \: \: ( - 3) \\ \\ 18x + 4y = 78 \\ - 18x - 39y = 27 \\ \\ - 35y = 105 \\ y = \frac{105}{ - 35} \\ y = - 3 \\ \\ 9x + 2y = 39 \\ 9x + 2( - 3) = 39 \\ 9x - 6 = 39 \\ 9x = 39 + 6\\ x = \frac{45}{9} \\ x = 5\)

Answer:

5,-3

Step-by-step explanation:

First, you need one of the numbers in front of the variables to be the same in each equation so that you can cancel them out.  so find the lowest number that they both can multiply to.  The lowest number that they can both multiply to is 18.  So this is what the first equation would look like,

2x(9x+2y=39)  

You need to multiply all the numbers in that equation by two

Then multiply the second equation by -3

-3x(6x+13= -9)

So the equations would look like this:

18x+4y=78

-18x-39y=27

________________

Then you need to add them together so you would get

0x (-18+18 cancels it out) -35y=105

Then divide each side by -35 and you'll get

y= -3

Last step,

9x+ 2(-3)= 39

(replace the y with -3 since that was our answer)

add six to both sides and then divide each side by 9 and you'll get

9x-6=39

   +6  +6

_________

9x=45

________

9     9

x=5

(5, -3)

Sorry that i'm a year late btw

Answer:

The time it takes to make rag dolls for a mission in Africa.

The time taken.

The cost of an end year party.

Step-by-step explanation:

The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.

The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;

DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.

The distance travelled while walking and the time taken ;

DEPENDENT VARIABLE = THE time taken

The time taken will depend on distance traveled.

The cost of an end of year grade 9 party and the number of people attending ;

DEPENDENT VARIABLE = The cost of an end year party.

Cost of partybwill depend on the number of people attending.

The limit does not exist as x approaches 8 for (√(12−x) − 2)/ (√(24−x) − 4).

Therefore the answer is dne.

The square root of 12 - x approaches 2 as x approaches 8 and the square root of 24 - x approaches 4 as x approaches 8.

The limit fails to exist because both the numerator and the denominator approach 0 as x approaches 8, but the ratio of the two approaches positive infinity. This shows that the limit is undefined or "dne".

As both the numerator and denominator approach 0, the fraction they form can approach any real number or it can oscillate between two values, leading to an undefined limit. In such cases, the limit fails to exist.

--The question is not readable, answering to the question below--

"evaluate the limit, if it exists. (if an answer does not exist, enter dne.)

lim x → 8 (√(12−x) − 2)/ (√(24−x) − 4)"

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Answer:

The answer to the equation would be 2 1/4.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

she will need 84 apples total so you do 84/32 and u get aroubd 2.6. You then round up to three because you can't have half a bag

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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Hi there,

G = green beans

C = Cauliflower

B = broccoli

G + C = 55

C + B = 54

G + B = 56

G + B + C = 53

If 53 students ate all three, then 2 students ate just green beans and cauliflower (55-53)

If 53 students are all three, then 1 students ate just cauliflower and broccoli  (54-53)

If 53 students are all three, then 3 students ate just green beans and broccoli  (56-53)

So we have

53 eat G, B, C

2 eat G, C

1 eats C, B

3 eat G, B

---

59 students

Now, 59 students eat green beans, then 59-53-2-3= 1 eats green beans only

56 students eat cauliflower, then 56-53-2-1=0 no students eat just cauliflower

60 students eat broccoli, then 60-53-1-3 = 3 eat just broccoli

So now we have

53 eat G, B, C

2 eat G, C

1 eats C, B

3 eat G, B

1 eats G only

0 eat C only

3 eat B only

-----

63 students

But we have 64 students.  So one student doesn't eat any of the three vegetables.

3 students eat green beans but not cauliflower

3 students do not eat broccoli (2 +1)

0 students eat only cauliflower

4 students eat exactly two of the three vegetables.

Answer:

40

Step-by-step explanation:

let ones be x

tens is 4 + 2x

4 + 2x + x = 4

3x = 0

x = 0

tens is 4 + 2*0

tens = 4

40 candy canes

Answer: the 1st one transitive property

Step-by-step explanation:

Answer:

=[7]+|-3| solve for the absolute value {-3 ->3}

=7+3

=10

Answer:

10

Step-by-step explanation:

Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.

The absolute value is the distance from 0.

So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.

So 7 + 3 = 10.

The  equation represents the length of the tail if the length of the kite is k should be considered as the 2k + 1.5.

Since

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.

So here we assume the length be k

So here the equation be 2k + 1.5

Hence, the option d is correct.

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Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

A person's height in feet is a quantitative variable because it is a measurable and numerical quantity that can be expressed in units of measurement. Height can be measured with a ruler or other measuring device, and the value obtained represents a continuous quantity that can be compared and analyzed using mathematical operations.

Qualitative variables, on the other hand, are variables that cannot be measured with a numerical value. They represent characteristics or attributes of a population or sample, such as gender, ethnicity, or eye color. These variables are typically represented by categories or labels rather than numerical values.

In summary, a person's height in feet is a quantitative variable because it represents a numerical measurement that can be quantified and compared. Qualitative variables, on the other hand, represent non-numerical characteristics or attributes and are typically represented by categories or labels.

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Answer:

Step-by-step explanation:

I guess 6%?

Governor Hutchinson had to decide whether to have the tea ships go back to England without paying the tax or unload the tea from the ships and pay the tax.

Governor Hutchinson was the Governor of Massachusetts during the time of the Boston Tea Party. Hutchinson was stuck in a tough spot because he was sympathetic to the colonists' concerns but had to follow the orders of the British crown. Hutchinson had to decide whether to have the tea ships go back to England without paying the tax or unload the tea from the ships and pay the tax.

Governor Hutchinson ultimately decided to have the tea ships unloaded and the tax paid. His decision to unload the ships ultimately led to the Boston Tea Party. Hence, Governor Hutchinson had to decide whether the tea ships go back to England without paying the tax or unload the tea from the ships and pay the tax and he ultimately decided to have the tea ships unloaded and the tax paid.

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Let’s call the number we’re looking for “x”. If x is rounded to 400,000 when rounded to the nearest 100,000 and rounded to 350,000 when rounded to the nearest 10,000, then we know that x must be between 375,000 and 424,999.

This is because if we round x down to the nearest 100,000, we get 300,000 (since it rounds down to the nearest hundred thousand), and if we round x up to the nearest 100,000, we get 500,000 (since it rounds up to the nearest hundred thousand). Therefore, x must be between these two numbers.

Similarly, if we round x down to the nearest 10,000, we get 340,000 (since it rounds down to the nearest ten thousand), and if we round x up to the nearest 10,000, we get 359,999 (since it rounds up to the nearest ten thousand). Therefore, x must be between these two numbers as well.

Therefore, a possible number that satisfies these conditions is any number between 375,000 and 424,999 that rounds to 400,000 when rounded to the nearest hundred thousand and 350,000 when rounded to the nearest ten thousand.

I hope that helps!

25r(cos^2Ф-sin^2Ф)-6cosФ=0

The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates

The rectangular coordinate system consists of two real number lines that intersect at a right angle

In cylindrical coordinate, x=rcosФ

y=rsinФ

z=z

25(rcosФ)^2=25(rsinФ)^2=6rcosФ

25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ

25r^2(cos^2Ф-sin^2Ф)=6rcosФ

25r(cos^2Ф-sin^2Ф)-6cosФ=0

25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.

Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation

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Based on the provided information, there is evidence to suggest that the marble floor is unsafe on rainy days since the sample mean coefficient of static friction exceeds the accepted standard of 0.5.

The coefficient of static friction is a measure of how easily an object can move across the surface of another object without slipping. In the context of a marble floor, a higher coefficient of static friction indicates a greater resistance to slipping, thus indicating a safer floor. The accepted standard for a safe marble floor is a coefficient of static friction no greater than 0.5.

In this scenario, a random sample of 50 rainy days was selected, and the coefficient of static friction was measured on each day. The resulting sample mean coefficient of static friction was found to be 0.6. Since the sample mean exceeds the accepted standard of 0.5, it suggests that, on average, the marble floor is unsafe on rainy days.

To draw a more definitive conclusion, statistical analysis can be performed to assess the significance of the difference between the sample mean and the accepted standard. This analysis typically involves hypothesis testing, where the null hypothesis assumes that the population mean is equal to or less than the accepted standard (0.5 in this case). If the statistical analysis yields a p-value below a predetermined significance level (e.g., 0.05), it provides evidence to reject the null hypothesis and conclude that the marble floor is indeed unsafe on rainy days.

Therefore, based on the provided information, there is evidence to suggest that the marble floor is unsafe on rainy days due to the sample mean coefficient of static friction exceeding the accepted standard of 0.5. Further statistical analysis can provide a more precise evaluation of the evidence.

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Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10):  x increases by 1.  This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m:  y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8

Answer:

Step-by-step explanation:

you can't get the answer if you don't know x