9. El radio de una pelota de básquetbol es aproximadamente 3.6 veces mayor
que el radio de una pelota de tenis. ¿Cuántas veces mayor es el volumen
de una pelota de básquetbol que el volumen de una pelota de tenis?
4
Nota: El volumen de una esfera es V = -tr

We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Using the quadratic formula, we can see that the correct option is the second one.

x = 0. 56 and x = −3. 56

Here we want to solve the quadratic equtaion:

2x² + 6x = 4

We can rewrite this as:

2x² + 6x - 4 = 0

Using the quadratic formula we can get the solutions for x.

\(x = \frac{-6 \pm \sqrt{6^2 - 4*2*-4} }{2*2} \\\\x = \frac{-6 \pm 8.2}{4}\)

Then the two solutions of the quadratic equation are:

x = (-6 + 8.2)/4 = 0.55

x = (-6 - 8.2)/4 = -3.55

By approximation, we can see that the correct option is the second one.

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Answer:

39

Step-by-step explanation:

(15 / 5)+9+(14 - 5 )*3

Answer: 39

Step-by-step explanation:

I started with simplifying 15/5 to 3

3+9+(14 - 5)*3

Than Simplified (14 - 5) to 9

3+9+9*3

Next, I did 9*3 due to PEMDAS

3+9+27

Finally, I added it all together to get 39

Answer: The two numbers are x = 26 and y = 9.

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Answer:

Exposure to the UV light is the dependable independent variable.

Step-by-step explanation:

An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.

Answer:

Dependable variable

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

-9

Step-by-step explanation:

-7x+12=75

-12       -12

-7x= 63

divide by -7 on both sides

x = -9

the ordered pairs associated with this partition are:

(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).

To find the ordered pairs associated with each partition, we need to find all pairs of elements in A that belong to the same subset in the partition.

a) {{1, 2},{3, 4, 5}}:

The subsets in this partition are {1, 2} and {3, 4, 5}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3, 4), (3, 5), (4, 3), (4, 4), (4, 5), (5, 3), (5, 4), (5, 5)

b) {{1}, {2}, {3, 4}, {5}}:

The subsets in this partition are {1}, {2}, {3, 4}, and {5}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (2, 2), (3, 3), (3, 4), (4, 3), (4, 4), (5, 5)

c) {{2, 3, 4, 5}, {1}}:

The subsets in this partition are {2, 3, 4, 5} and {1}. Therefore, the ordered pairs associated with this partition are:

(1, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 2), (3, 3), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (4, 5), (5, 2), (5, 3), (5, 4), (5, 5).
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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

\(\rm\implies y = mx + c \)

where ,

Here we can see that the line is passing through (0,-7) . Therefore ,

\(\rm\implies y- intercept = -7\)

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

\(\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 \)

Using Slope Intercept Form :-

\(\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}\)

Answer:

Create a table in your books in order to display the number of students in the classes on the grade 7 block. Grade 7M has 44 students, 7E has 43 students, 7A has 38 students, 7D has 45 students, 7O has 36 students, 7W has 41 students. Upload the picture of the table below by clicking on "Add file".

Answer:

None of his friends guessed correctly

Step-by-step explanation:

After solving the equation, y equals 52 marbles, so Nikos is the closest to guessing correctly.

Hope this helps!  :3

Answer:

Total farmers = 800

Step-by-step explanation:

Let there be x farmers in the country

27.5/100 * x = 2220

x = 800

The simplified form of the expression is 1.55x - 2.16.

To simplify the expression 0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2), we can distribute the coefficients and simplify the terms.

First, distribute 0.2 to the terms inside the brackets: 0.2 * 5x + 0.2 * (-0.3) = x - 0.06.

Next, distribute -0.5 to the terms inside the second brackets: -0.5 * (-1.1x) + (-0.5) * 4.2 = 0.55x - 2.1.

Now, we can combine the simplified terms: (x - 0.06) + (0.55x - 2.1) = 1.55x - 2.16.

Thus, the simplified expression is 1.55x - 2.16.

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Answer:

x = -10

Step-by-step explanation:

first you multiply both sides by -3

x + 7 = -3

then you subtract 7 from both sides

x = -10

hope this helps

The scale of the drawing is in the ratio of 1 millimeter : 3 meter

In this, we need to find the ratio that is 1millimeter:x meter where x is the original scaling of the plot.

We have been given that

                   24 millimeters = 72 meters

Now we have to find how many meters is equal to 1 millimeter which will find out by the unitary method.

Thus,   24 millimeters = 72 meters

               1 millimeter = 72/24 meter

               1 millimeter = 3 meter

Hence the scale of the drawing is 1 millimeter : 3 meter

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Answer:

so whats the question

Step-by-step explanation:

The location of the transformed point will be at the coordinate (0,4).

In mathematics, a translation moves a shape left, right, up, or down but does not turn it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Given that a point at (−3,−2) is transformed in two steps. It is reflected in y = x. It is translated as 3 units right and 2 units up.

The translated point will be,

(−3,−2) ⇒ (-3,2)

Translation of the point,

(-3,2) ⇒ (-3+3, 2+2) ⇒(0,4)

Therefore, the location of the transformed point will be at the coordinate (0,4).

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Answer:

50.27

Step-by-step explanation:

First, we have to find the volume of the cone using the formula V=πr^2h/3, where pi is 3.14. After plugging everything in, we get V = 75.4. Then, we have to find 2/3 of that. Rounding to the nearest hundredth, we get 2/3 x 75.4 = 50.27.

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong

The length of the bracket after 1 iteration is 100%.

Let  f(x) = x³-15x² + 50x

a = 0, b=10.

Let the golden ratio be  

GR=√5-1 / 2=0.618

Now, d = GR (b-a)

= 0.618 (10-0) = 6·18

\(x_{1}\)= a+d = 0 + 6·18 = 6.18

\(x_{2}\) = b-d = 10- 6·18 = 3.82

f(\(x_{1}\)) = (6·18)³ - 15 (6·18)² + 50(6·18) = -27.887  

f(\(x_{2}\)) = (3.82)³-15(3.82)²+50(3.82)=27.857

so, f(\(x_{2}\)) > f(\(x_{1}\)) new interval is [a,x,]

i.e., maximum lies in [0, 6·18]

so, Xmax = \(x_{2}\)= 382

Uncertainty in measurement will be,

∈= \(\frac{1-GR) (b-a)}{Xopt}\) =\(\frac{((1-0.618) X (10-0)}{382}\) × 100%

∈ = 100%

In arithmetic, quantities are within the golden ratio if their ratio is the same as the ratio in their sum to the larger of the 2 portions. Expressed algebraically, for quantities a and b with \(a > b > 0\), \(\frac{(a+b)}{a}\) = \(\frac{a}{b}\)= φ

The golden ratio turned into known as the acute and suggest ratio by way of Euclid, and the divine proportion using Luca Pacioli, and also is going through numerous other names. The golden ratio seems in some patterns in nature, such as the spiral association of leaves and different elements of plants.

A few twentieth-century artists and architects, together with Le Corbusier and Salvador Dalí, have proportioned their works to approximate the golden ratio, believing them to be aesthetically appealing. these uses often appear in the form of a golden rectangle.

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The distance from Andrew to the plane is d = h / tan(55 degrees)

To find the distance from Andrew to the plane, we need more information than just the angle of elevation.

We also need either the actual height of Andrew or the height of point B above the ground level.

If we assume that Andrew is standing on level ground and point B is at the same level as Andrew, we can use trigonometry to approximate the distance.

Let's assume that Andrew is standing at point B and the height of the plane above the ground is represented by h.

We can use the tangent function to find the distance from Andrew to the plane.

tan(angle) = opposite/adjacent

The angle of elevation is 55 degrees, the opposite side is the height of the plane (h) and the adjacent side is the distance from Andrew to the plane (d).

tan(55 degrees) = h/d

To solve for distance, we rearrange the equation:

Without knowing the actual height of the plane or the height of point B, we cannot determine the distance accurately.

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Answer:

Cheaper to buy them in six-packs

Step-by-step explanation:

To answer this problem, we first have to see how much it would cost to but 48 hot dogs with six and eight packs.

First with six-packs:

48/6=8 So he would have to buy 8 packs. Each pack costs 2.10-->8(2.10)= 16.8

Then with eight-packs:

48/8=6 So he would have to buy 6 packs. Each pack costs 3.12

-->6(3.12)=18.72

Which one is less: 16.8 or 18.72? --> 16.8! so the answer would be six-packs.

Answer:

x is either 77 or -47

Step-by-step explanation:

Answer: either 77 or -47

Step-by-step explanation:

predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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Answer:

The answer is 20.5% .

Step-by-step explanation:

This is the answer because it is already raining. since it is already raining we take the 16% and divide that by what has already occured to get 20.5%

Answer:

3053.63 Is the answer

Step-by-step explanation:

V=4/3*3.14*9*9*9

Answer: 972π

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π x (9)³

V = 972π

V = 3053.63

Answer:

1/7x or 1/7

Step-by-step explanation:

the equation for slope is

y2-y1 over x2 minus x1, so basically it means that you find the second x which in this case is 12 and subtract the first x which is 5. 12-5 is 7

You also do -7 minus -6 for the y2-y1 stuff so it is -7 plus 6 cuz the double - signs cancel out to positive.

-7 + 6 is 1

1 over 7 is 1/7

To solve this problem both units must have the same units.

So, let's convert quarts to gallons

1 quart ----------------------- 0.25 gallon

34 quarts -------------------- x

x = (34 x 0.25) / 1

x = 8.5 gallons

8.5 gallons or 34 quarts > 8 gallons