PLEASE HELP WILL GIVE BRAINLY!! What is the domain of the following function: f(x)=√x+5x−3.

Answer:

8u - 20

Step-by-step explanation:

Answer:

y = (-4)

Step-by-step explanation:

Given equation is,

-2y = 4y + 24

By subtracting 4y from both the sides of the equation,

-2y - 4y = (4y + 24) - 4y

-6y = 24

By dividing the equation by (-6),

\(\frac{-6y}{-6}=\frac{24}{-6}\)

y = (-4)

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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PLEASE GIVE ME BRAINLIEST!

I hope this helps.  thank you and have a good day ;)

Answer:

{6,341}

Step-by-step explanation:

{-3,453+5,748} is the same as 5,748 - 3,453, which is equal to 2,295.{8,9703-12,749} is the same as 8,703 - 12,749, which is equal to -4,046.

{2,295} - {-4,046} = {6,341}

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

The equations that are in standard form are B) \(1/2x^2 + 4x - 3 = 0\) and E) -\(x^2 - 3x + 20 = 0\). Option B and E.

Quadratic equations in standard form have the general form of "ax^2 + bx + c = 0", where a, b, and c are constants. Let's analyze each equation to determine if it is in standard form:

A)\(1 - 7x^2 = -x\)

This equation is not in standard form because the term with the highest power, 7x^2, has a negative coefficient. To put it in standard form, we can rearrange the equation: \(7x^2 - x - 1 = 0.\)

B) \(1/2x^2 + 4x - 3 = 0\)

This equation is in standard form. The coefficients of x^2, x, and the constant term are all numerical values.

C) \(x^5 - 3x + 9 = 0\)

This equation is not a quadratic equation since it has a term with the power of 5. Quadratic equations only involve terms with the power of 2. Therefore, this equation is not in standard form.

D)\((x + 5)^2 - 3 = 0\)

This equation is not in standard form. To put it in standard form, we can expand the square:\(x^2 + 10x + 25 - 3 = 0\). Simplifying further, we get \(x^2 + 10x + 22 = 0.\)

E) \(-x^2 - 3x + 20 = 0\)

This equation is in standard form. The coefficients of \(x^2\), x, and the constant term are all numerical values.

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Events, of randomly drawing a King OR a card with an even number describe by a) Mutually Exclusive.

The events of randomly drawing a King and drawing a card with an even number are mutually exclusive. This means that the two events cannot occur at the same time.

In a standard deck of 52 playing cards, there are no Kings that have an even number.

Therefore, if you draw a King, you cannot draw a card with an even number, and vice versa.

The occurrence of one event excludes the possibility of the other event happening.

It is important to note that mutually exclusive events cannot be both independent and conditional. If two events are mutually exclusive, they cannot occur together, making them dependent on each other in terms of their outcomes.

The correct option is (a) Mutually Exclusive.

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To find the parametric equations of the intersection of the planes, we can set up a system of equations by equating the two given plane equations:

x + (y - 8) + z = 0

-x + (y + 8) - z = 0

Let's isolate the variables:

From the first equation, we have:

x = -y + 8 - z

Substituting this into the second equation, we get:

-(-y + 8 - z) + (y + 8) - z = 0

Simplifying, we have:

y - 8 + z + y + 8 - z = 0

2y = 0

y = 0

Substituting y = 0 back into the first equation, we get:

x = -0 + 8 - z

x = 8 - z

Now, we can express the variables x, y, and z in terms of a parameter t:

x = 8 - t

y = 0

z = t

Therefore, the parametric equations of the intersection of the planes are:

x = 8 - t

y = 0

z = t

In vector form, the parametric equations can be written as:

(r(t) = (8 - t) i + 0 j + t k

where i, j, and k represent the unit vectors along the x, y, and z axes, respectively.

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The expected value of the sum of two biased dice can be calculated using the formula:

E(S) = ∑[(pi + qi) * i] = [(p1 + q1) * 1 + (p2 + q2) * 2 + (p3 + q3) * 3 + (p4 + q4) * 4 + (p5 + q5) * 5 + (p6 + q6) * 6]

To find the expected value of a biased dice, multiply the value of each side by its respective probability of occurring and add them up. For the sum of two biased dice, calculate the expected value of each die and add them together.

Let S be the sum of numbers obtained by rolling two biased dice with possibly different biases described by probabilities pi, i = 1, 2, 3, 4, 5, 6, and qi, i = 1, 2, 3, 4, 5, 6, respectively. Then, the expected value of S can be calculated using the formula:

E(S) = E(X1) + E(X2) = ∑(pi * i) + ∑(qi * i) = ∑[(pi + qi) * i]

The probability of getting a certain sum can be calculated using the formula:

P(S = k) = ∑[pi * pj]

where i and j are the numbers on the first and second dice, respectively, and k is the sum.

In this case, the biases of the dice are described by probabilities pi, i = 1, 2, 3, 4, 5, 6, and qi, i = 1, 2, 3, 4, 5, 6, respectively. The formula for the expected value of the sum of two biased dice can be written as:

E(S) = ∑[(pi + qi) * i] = ∑[(pi + qi) * i]

The expected value of the sum of two biased dice can be calculated using the formula:

E(S) = ∑[(pi + qi) * i] = [(p1 + q1) * 1 + (p2 + q2) * 2 + (p3 + q3) * 3 + (p4 + q4) * 4 + (p5 + q5) * 5 + (p6 + q6) * 6]

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Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:

Equation of the plane is 19x - 20y - 15z - 38 = 0.

Step-by-step explanation:

We can find an equation of the plane that passes through the given three points by first finding two vectors that lie in the plane and then taking their cross product to get the normal vector of the plane. Once we have the normal vector, we can use any of the three points to write the equation of the plane in point-normal form.

Let's start by finding two vectors that lie in the plane. We can take the vectors connecting (2, −1, 3) to (7, 4, 6) and from (2, −1, 3) to (−3, −3, −2), respectively:

v1 = <7-2, 4-(-1), 6-3> = <5, 5, 3>

v2 = <-3-2, -3-(-1), -2-3> = <-5, -2, -5>

Now we can find the normal vector to the plane by taking the cross product of v1 and v2:

n = v1 x v2 = det( i j k

5 5 3

-5 -2 -5 )

= < 19, -20, -15 >

Now we can use the point-normal form of the equation of a plane, which is:

n · (r - r0) = 0

where n is the normal vector, r0 is a point on the plane, and r is a generic point on the plane. We can use any of the three given points as r0. Let's use the first point, (2, −1, 3):

n · (r - r0) = < 19, -20, -15 > · ( < x, y, z > - < 2, -1, 3 > ) = 0

Expanding the dot product, we get:

19(x - 2) - 20(y + 1) - 15(z - 3) = 0

Simplifying, we get:

19x - 20y - 15z - 38 = 0

Therefore, an equation of the plane is 19x - 20y - 15z - 38 = 0.

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Answer:

75%

Step-by-step explanation:

390/520 = 0.75 =75

hope that helps ;)

Answer:

75%

Step-by-step explanation:

390/520×100%

0.75×100%

75%

It looks like the differential equation is

\(\dfrac{dy}{dx} = 4 (2x+2) \sin\left(x^2 + 2x + \dfrac\pi2\right)\)

A. \(\frac{dy}{dx}\) gives the slope of the line tangent to the curve \(y=y(x)\) at the point \((x,y)\). At the point (0, 4), the tangent line has slope

\(\dfrac{dy}{dx}\bigg|_{x=0,y=4} = 4\sin\left(\dfrac\pi2\right) = 4\)

Then using the point-slope formula, the equation of the line is

\(y - 4 = 4 (x-0) \implies \boxed{y=4x+4}\)

B. Differentiate both sides of the ODE with respect to \(x\). Using the product, chain, and power rules,

\(\dfrac{d^2y}{dx^2} = 8 \sin\left(x^2+2x+\dfrac\pi2\right) + 4(2x+2)^2 \cos\left(x^2+2x+\dfrac\pi2\right)\)

You're probably supposed to evaluate the second derivative at (0, 4), not (0, 3), since we don't know whether (0, 3) is on the solution curve (yet). At this point,

\(\dfrac{d^2y}{dx^2} \bigg|_{x=0,y=4} = 8 \sin\left(\dfrac\pi2\right) + 16 \cos\left(\dfrac\pi2\right) = 8\)

Since 8 > 0, the solution curve is concave upward at (0, 4).

C. Using the point (0, 4) as an initial value, integrating both sides of the ODE with the fundamental theorem of calculus gives

\(\displaystyle y(x) = y(0) + \int_0^x 4 (2u + 2) \sin\left(u^2 + 2u + \frac\pi2\right) \, du\)

In the integral, substitute \(v=u^2+2u+\frac\pi2\) and \(dv=(2u+2)\,du\).

\(\displaystyle y(x) = 4 + \int_{\pi/2}^{x^2+2x+\pi/2} 4 \sin(v) \, dv\)

\(\displaystyle y(x) = 4 - 4 \cos(v) \bigg|_{v=\pi/2}^{v=x^2+2x+\pi/2}\)

\(\displaystyle y(x) = 4 - 4 \left(\cos\left(x^2 + 2x + \frac\pi2\right) - \cos\left(\frac\pi2\right)\right)\)

\(\displaystyle y(x) = 4 - 4 \cos\left(x^2 + 2x + \frac\pi2\right)\)

which we can expand as

\(\cos\left(x^2+2x+\dfrac\pi2\right) = \cos(x^2+2x)\cos\left(\dfrac\pi2\right) - \sin(x^2+2x)\sin\left(\dfrac\pi2\right) \\\\ ~~~~= -\sin(x^2+2x)\)

Then the particular solution to the ODE is

\(\boxed{y(x) = 4 - 4\sin(x^2+2x)}\)

(and we see that \(x=0\) only yields one value \(y=4\), so (0, 3) is indeed not on the curve)

Answer:

LCD = 24

Equivalent Fractions with the LCD

1 1/2

=

36/24

3/8

=

9/24

5/6

=

20/24

3

=

72/24

Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.

Answer:

8 yellow and 3 purple

Step-by-step explanation:

The land will cost approximately $52,800.00.

What is triangle ?

A triangle is a polygon with three sides and three angles. It is one of the simplest and most basic shapes in geometry. The three sides of a triangle can be of different lengths, and the three angles can also be of different sizes. The sum of the angles in a triangle is always 180 degrees.

To find the area of the triangular lot, we can use Heron's formula for the area of a triangle:

s = (1360 + 1850 + 2430)/2 = 2820

A = √[s(s-1360)(s-1850)(s-2430)] ≈ 1,046,482.74 square feet

To convert this to acres, we divide by 43,560:

A ≈ 24.00 acres

Finally, we can calculate the cost of the land by multiplying the area in acres by the price per acre:

cost = 24.00 acres × $2200/acre ≈ $52,800.00

Therefore, the land will cost approximately $52,800.00.

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Answer: 3x-2x or (3x)-(2x)

Write an expression that best represents the difference between triple and double a number?

Step-by-step explanation: HOPE THIS HELPS!

Answer:

3x-2x

Step-by-step explanation:

I hope you this is it

There are 75 calories in 1 cupcake. The solution has been obtained using unitary method.

What is the unitary method?

Prior to calculating the value of the required number of units, the value of a single unit is first determined using the unitary technique. Simply expressed, the unitary technique is used to determine the value of a single unit from a specified multiple.

We are given that there are 450 calories in 6 cupcakes.

In order to represent this as a unit rate, we will use the unitary method.

In 6 cupcakes, there are 450 calories.

So, in 1 cupcake, there will be 450/6 = 75 calories

Hence, there are 75 calories in 1 cupcake.

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Since there are multiple questions so, the question answered above is attached below

Answer:

- 4

Step-by-step explanation:

The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.

In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.

For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;

The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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If you chose to compute a mode for a variable, the measure of variability you would most likely want to report is the a) range .

The mode represents the most frequently occurring value in a dataset, which provides information about the central tendency and the characteristic value in the data. It helps identify the value or values that are most common or dominant in the dataset.

On the other hand, the range measures the spread or variability in the dataset. It gives you the difference between the maximum and minimum values in the dataset, providing insight into the extent of the dispersion of values.

The standard deviation (option b) is another measure of variability, but it quantifies the dispersion of values around the mean. It is not directly related to the mode and provides a different aspect of variability compared to the mode.

Therefore, if you are specifically interested in the measure of variability to report when computing the mode, the range (option a) would be more relevant than the standard deviation (option b).

Correct Question:

If you chose to compute a mode for a variable, which measure of variability would you most likely want to report?

a) Range

b) Standard Deviation

c) Neither of these

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Answer:

Cheddar Cheez

Step-by-step explanation:

You add some chedda u add some cheez Chuk them togeva chedda cheese

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

Explanation:

The Conditional reasoning and logical equivalence of the statements could read;

1. If the investigation continues, then new evidence is brought to light.

C ⇒ N

2. If new evidence is brought to light, then several leading citizens are implicated.

N ⇒ I

3. If several leading citizens are implicated, then the newspapers stop publishing the case.

I ⇒ S

4. If continuation of the investigation implies that the newspaper stop publicizing the case, then the bringing to light of new evidence implies that the investigation continues.

C ⇒ S: ⇒ N ⇒ C

5. The investigation does not continue. Therefore, new evidence is not brought to light.

not C ⇒ not N

Answer:

Step-by-step explanation:

Given that \(f(x)=-3x+8\).

The new function,g, whose graph is a transalation of 1 unit up is,

\(g=f+1\)

\(\Rightarrow g(x)=(-3x+8)+1\)

\(\Rightarrow g(x)=-3x+9\)

Answer:

The slope intercept form of a line is: y=mx+b.

Step-by-step explanation:

your answer is (a)

gimme brainliest

Answer:

y = 2x + 5

Step-by-step explanation:

Slope = 2

y-intercept= 5

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

If Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

In the given question,

Sam has three-fourths (3/4) of a yard of pipe.

We have to find how many pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

Total length of a yard of pipe is 3/4.

We have to cut the a yard of pipe in the size of 1/8.

Since we have to distribute the 3/4 in 1/8 so we divide 3/4 by 1/8 to find the answer.

Now the expression should be

\(=\frac{3/4}{1/8}\)

To solve this expression multiply 8 on numerator and denominator.

We multiply 8 on both numerator and denominator because when we include any number by our self then we have to perform the  same on both side.

\(=\frac{3/4\times8}{1/8\times8}\)

Simplifying

\(=\frac{3\times2}{1}\)

\(={3\times2}\)

\(=6\)

Hence, if Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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