What is the domain of the function on the graph?

all real numbers
all real numbers greater than or equal to –2
all real numbers greater than or equal to –5
all real numbers greater than or equal to 0

Answer:

\(\frac{1}{3}*(x-5)=\frac{-2}{3}\)

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

\(\frac{1}{3}*(x-5)=\frac{-2}{3}\)

Solution:

\(x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3\)

Answer: width = 42, length = 74

Step-by-step explanation: 42 + 32 = 74

42 + 42 + 74 + 74 = 232

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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9514 1404 393

Answer:

  2271.08

Step-by-step explanation:

The total of the 50 numbers is 113554. Then their mean is ...

  113554/50 = 2271.08 . . . . the mean

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

well I guess i could write you a 21-page essay about it butt,,,,,,,,,,,, In probability, P(Y < y) means the probability that the random variable Y is less than y

Step-by-step explanation:

Answer:

I think B

Step-by-step explanation:

Not sure but seems like so. Hope I helped U :)

Answer:

jordan drinks 4.5 cup of water

Answer:

\(\begin{aligned}SA &= 7.125\pi \text{ in}^2\\& \approx 22.4 \text{ in}^2 \end{aligned}\)

Step-by-step explanation:

We can find the Surface Area of the can by adding the areas of each of its parts:

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

First, we can calculate the area of the circular base:

\(A_{\text{circle}} = \pi r^2\)

\(A_{\text{base}} = \pi (0.75 \text{ in})^2\)

\(A_{\text{base}} = 0.5625\pi \text{ in}^2\)

Next, we can calculate the area of the rectangular side:

\(A_\text{rect} = l \cdot w\)

\(A_\text{side} = (4\text{ in}) \cdot C_\text{base}\)

Since the width of the side is the circumference of the base, we need to calculate that first.

\(C_\text{circle} = 2 \pi r\)

\(C_\text{base} = 2 \pi (0.75 \text{ in})\)

\(C_\text{base} = 1.5 \pi \text{ in}\)

Now, we can plug that back into the equation for the area of the side:

\(A_\text{side} = (4\text{ in}) (1.5\pi \text{ in})\)

\(A_\text{side} = 6\pi \text{ in}^2\)

Finally, we can solve for the surface area of the can by adding the area of each of its parts.

\(SA = 2( A_{\text{base}}) + A_\text{side}\)

\(SA = 2(0.5625\pi \text{ in}^2) + 6\pi \text{ in}^2\)

\(\boxed{SA = 7.125\pi \text{ in}^2}\)

\(\boxed{SA \approx 22.4 \text{ in}^2}\)

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Step-by-step explanation: I had that q and got it right

The value of the a, h, and k are 2, 1, and 4 respectively after applying the transformation.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

After analyzing the function, we can perform the transformation:

We have a parent function:

\(\rm y = \sqrt[3]{x}\)

First transformation:

Multiply by 2 functions will stretch by factor 2

\(\rm y = 2\sqrt[3]{x}\)

Second transformation:

x → (x-1)

\(\rm y = 2\sqrt[3]{x-1}\)

The function will shift right side by 1 unit.

Third transformation:

Add 4 to the function:

\(\rm y = 2\sqrt[3]{x-1}+4\)

It will shift up by 4 units.

Compare with the function:

\(\rm y = a\sqrt[3]{x-h}+k\)

a = 2, h = 1, and k = 4

Thus, the value of the a, h, and k are 2, 1, and 4 respectively after applying the transformation.

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Answer:

h = 1

k = 4

a = 2

Step-by-step explanation:

yes

The hypothesis tested are given as follows:

\(H_0: \mu = 3.2, H_a: \mu \neq 3.2\)

The claim for this problem is given as follows:

"The mean salary for the baseball players on the East Coast is different from $3.2 million".

At the null hypothesis, we test if the claim is false, that is, if the mean salary is equals to 3.2 million, hence:

\(H_0: \mu = 3.2\)

At the alternative hypothesis, we test if the claim is true, that is, if the mean salary is different of 3.2 million, hence:

\(H_a: \mu \neq 3.2\)

The \(\mu\) symbol, without the bar, is used, as we are testing for the population mean, not sample mean, hence the first option is the correct option.

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Answer: 2x + 12

Step-by-step explanation:

Let the cost of each sweater be x.

since she's buying 2, the total cost of the sweaters will be 2x.

Just tack on the + 12 at the end for the sunglasses :)

Observing this graph, we will see that the ''y'' variable has no correlation with the ''x'' variable. As such, this graph shows no trend

Answer:

27%

Step-by-step explanation:

75-55=20

75 - 100%

20 - x%

x=20*100:75=26.(6)7~27%

Answer:

They lost 29.3% of the softball games.

Step-by-step explanation:

Total number of games = 75

Number of games won = 55

Number of games lost = 75 − 55 = 22

Percentage of games lost: Number of games lost/ total games x 100%

Which means: 22/75 x 100% = 29.3%

Hope this helped you!

Have a nice day/night <3

\(1\cdot2^2+1\cdot2^1+1\cdot2^0=4+2+1=7\\\\111_2=7_{10}\)

The graph of x >2 is attached below

Clearly, the graph of x> 2 could be area beyond 2 on positive X axis

What is graph?

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The question seems to be incomplete, because options are missing.
so the option can be of several graphs.

Thus, The correct Graph of x >2 has been attached below.

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Answer:18 and 1/3

Step-by-step explanation:22

3

(15)

6

=

55

3

(Decimal: 18.333333) and then as a mixed number is:

Answer:

Bottom left

Step-by-step explanation:

Mark brainliest please

Yes, Lara is correct.

The steps are as follow:

So Lara is correct

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Answer:

A. 0.3 cm

Step-by-step explanation:

2.4m÷8=0.3cm

2.4 meters devide by 8 equals to 0.3 centimeter

Answer:

Step-by-step explanation:

30 cm is the correct answer

Since the arrowheads of the parabola are pointing downwards, the parabola opens downward.

To identify the axis of symmetry, determine the vertex of the parabola.

The formula for the axis of symmetry is as follows.

The x-intercept is the point where the graph intersects the x-axis, Thus, the x-intercepts are as follows.

The y-intercept is the point where the graph intersects the y-axis. Thus, the x-intercept is as follows.

Which property is illustrated in Step 2 ? Option B. Commutative property

How is this explained?

Given:

Step 1 = 10+ 8x - 10 - 4x +4 = 0

Step 2 = 10 + (-10+ 8x) -4x + 4

Here , 8x - 10 = -10 + 8x

This is of the form , A+B = B+A

Commutative property of addition = A+B = B+A

What is the commutative property?

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