David put air into 300 balloons and used 8 gallons of hellum. If he blew up 2700 balloons at the same
rate, how many gallons of hellum would be used?

Answer:

0.267

Step-by-step explanation:

Answer: h>9/2

Step-by-step explanation:

Answer:

12x\(x^{5}\)

32n^3

x^2y^2

81a^4b^16

m^7/2

2p^5

2x^9

16n^13

2/n^2

8a^4/2x^5

x^2/4

1/b^11

4x^4

a^11

4m^3n^17

Step-by-step explanation:

Hope this helps!

(1-16 in order)

Answer:

going from left to right then the next row same thing

12x5

32n3

x2y2

81a4b16 or sqrt9 a4b16 (same thing diff way of writing)

m7/2

2p5

2x9

2n13

2/n2

8a9/3

x23/2

4x2

1/b11

4x6

a11/4

8m7n211

Step-by-step explanation:

i did them myself all by hand so they should be right. if u see a number after a variable it means an exponent

so like 2m2 is 2m^2 and if u see 2m2n2 it means 2m^2n^2

The compass needle always points north because it is magnetic north pole.

Earth has magnetic field due to magnetic elements present in Earth's core in molten form. They are assumed to be in the form of giant bar to ease the calculations concerning magnetic field and polarity. The assumptions are geographic south pole harbours magnetic north pole and vice versa for the opposite pole.

So, we know that like poles attract each other and unlike poles repel each other. The north end of magnetic needle will point towards the magnetic south pole which is geographic north pole. Thus, we see compass needle directed to North pole.

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Answer:

a) 28.34 m

Step-by-step explanation:

Finding ∠RQS :

Length of arc RS :

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

-1/3

Step-by-step explanation:

its rise over run.

u rise 2, and run 6 and its a negative slope

when you simplify its then -1/3

Answer:

\(m = -\frac{1}{3}\)

Step-by-step explanation:

Using the slope formula:

            y2 – y1

m   =   --------------

            x2 – x1

Plug in any two points that the line passes through:

In this case, (2, 0) and (–1, 1).

              1 – 0

m   =   --------------

            –1 – 2

                 1

m   =   --------------

               –3

The ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

All right-angled triangles with as one of whose angles are similar if we fix an acute angle. As a result, the ratio between equivalent pairs of sides is the same in all such triangles are defined by trigonometric ratios.

The hypotenuse is the side that faces the right angle. We designate the leftover side as the adjacent and the side across as the opposite.

Given data:

ΔGHI is the right angled triangle at ∠I = 90°.

GI = 84, IH = 13, and HG = 85.

Then,

tanθ = opposite / adjacent.

tangent G = HI / GH

tangent G = 13/ 85

Thus, the ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

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Answer:

Step-by-step explanation:

number of students ticket sold = x

number of parent tickets sold = y

If a total of 96 tickets were sold

x+ y =96     ----      eq 1

If a total of 96 tickets were sold for $306.25

2.50x + 3.75y=306.25  ---- eq 2

x+ y =96

y=96-x

substitute value of y in equation 2

2.50x + 3.75 (96-x)=306.25

2.50x + 360 -3.75x =306.25

- 1.25 x = -53.75

x = 43

therefore the answer would be y=96-x=96-43=53

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  \(5sin(\frac{\pi x}{2})-2\)

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at \((\frac{3\pi }{2},-7)\)

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = \(5sin(\frac{\pi x}{2})-2\)

Hence, The formula of the function, where x is entered in radians is f(x) = \(5sin(\frac{\pi x}{2})-2\)

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Answer:

£90

Step-by-step explanation:

1/5 =3

5/5=15

1/6=15

6/6=90

Answer: x=3

Step-by-step explanation:

-2(7-x) + 4= -4

-14 + 2x + 4= -4

2x - 10= -4

2x = 6

x=3

Answer:

Angle D

Step-by-step explanation:

The answer should be Angle D

Answer:

hey! the answer is angle D

Because in quadrilateral ECFD and WVUX

Step-by-step explanation:

ANGLE E = ANGLE W

ANGLE C = ANGLE V

ANGLE F = ANGLE U

AND,

ANGLE D = ANGLE X

Batting common is the the wide variety of runs scored via way of means of the batsman withinside the wide variety of fits performed via way of means of him in that supply weeks Walk to strike out is the wide variety of wickets taken via way of means of the sports activities character withinside the wide variety of fits performed via way of means of him in that week Home runs are the house run hit via way of means of that participant in that 5 weeks throughout which the sports activities creator cited these types of happenings

The number of hits A got is 186 hits.

​A player's batting average is calculated by dividing the number of hits by the number of at-bats.

Player A batting average =  0.312

Number of at-bats A did =  596

We have to find the number of hits A got.

0.312 = Number of hits / 596

Number of hits = 0.312 x 596

                        = 185.952 hits.

Rounding to a whole number we get,

= 186 hits

Thus, the number of hits A got is 186 hits.

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Answer:

\(( { \frac{4}{7} )}^{2} = \frac{ {4}^{2} }{ {7}^{2} } = \frac{16}{49} \)

A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.

The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.

Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.

We have given that average height is 5.8 feet.

And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.

Therefore 5.8 - 2.1 = 3.7 feet

                 5.8 + 2.1 = 7.9 feet

Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.

That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.

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Answer:

\(y = \frac{6}{5} x-\frac{7}{5}\)

Step-by-step explanation:

6x - 5y = 7 is in standard form

-5y = -6x + 7

divide all terms by -5

\(y = \frac{6}{5} x-\frac{7}{5}\)

The partial derivatives are: f_x = (4eˣ + 4xeˣ)ysin(y) and f_y = 4xeˣ(sin(y) + ycos(y))

To compute the partial derivatives f_x and f_y for the function f(x, y) = 4xye^xsin(y) using the Product Rule, follow these steps:

For f_x (partial derivative with respect to x):
The Product Rule states that the derivative of a product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function. In this case, the two functions are u(x) = 4xe^x and v(x, y) = ysin(y).

f_x = (d(u)/dx) × v + u × (d(v)/dx)

First, compute d(u)/dx:
d(u)/dx = d(4xeˣ)/dx = 4e^x + 4xe^x

Note that v(x, y) = ysin(y) does not depend on x, so d(v)/dx = 0.

Now, substitute the derivatives and the original functions back into the Product Rule equation:
f_x = (4eˣ + 4xeˣ) × ysin(y) + 4xeˣ × 0
f_x = (4eˣ + 4xeˣ)ysin(y)

For f_y (partial derivative with respect to y):
Since f(x, y) = 4xyeˣ(sin(y)), we can apply the Product Rule again to compute f_y:

f_y = u × (d(v)/dy)

Here, u(x) = 4xeˣ remains the same, and v(x, y) = ysin(y).

Compute d(v)/dy:
d(v)/dy = d(ysin(y))/dy = sin(y) + ycos(y)

Now, substitute the derivatives and the original functions back into the Product Rule equation:
f_y = 4xeˣ × (sin(y) + ycos(y))

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Answer:

y = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the equation, it sounds to me that the monthly cost is 34 plus 85 cents per post. So the equation is 0.85k + 34 = 108.80

Hope this helps.

Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.

1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).

Step 1: Set up the equation using the given information.

One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:

Reciprocal of the original number + 1 = $\frac{7}{3}$

Step 2: Solve for the reciprocal of the original number.

Reciprocal of the original number = $\frac{7}{3}$ - 1

Step 3: Simplify the equation.

Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$

Reciprocal of the original number = $\frac{4}{3}$

Step 4: Find the original number.

Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:

Original number = $\frac{1}{(\frac{4}{3})}$

Step 5: Simplify the expression.

Original number = $\frac{1}{1} \times \frac{3}{4}$

Original number = $\frac{3}{4}$

The original number expressed as a common fraction is $\frac{3}{4}$.

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Answer:

x = 15

Step-by-step explanation:

The given angles are same- side interior angles and are supplementary, thus

6x + 7 + 3x + 38 = 180, that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

Answer:

x = 15

Step-by-step explanation:

these two angles are actually supplementary, which means they add up to 180.

using this, you can make this equation:

3x + 38 + 6x + 7 = 180

combine like terms.

3x + 6x + 38 + 7 = 180

9x + 45 = 180

subtract 45 from both sides.

9x = 135

divide both sides by 9

x = 15

Answer: 5

Step-by-step explanation:

The solution of the linear equation is a = 11/4.

Here we have the linear equation:

9 = 4a - 2

We want to solve this for a, so we need to isolate a on one side of the equation.

First, we can add 2 on both sides to get:

9 + 2 = 4a

11 = 4a

Now we can divide both sides by 4 to get:

11/4 = a

The solution of the linear equation is a = 11/4.

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Answer:

0.18

Step-by-step explanation:

Maths big brain