helpp will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2​

Answer:

8/3

Step-by-step explanation:

To make this function be continuous, we need to make the one-sided limits of the function at x=3 equal.

this means that 3c+8=9c-8

8=6c-8

16=6c

c=16/6 = 8/3

The value of constant c that makes the given function continuous at (-∞ , ∞) is 6.

What do you mean by continuity of a function ?

Continuity of a function meant all the points in the given interval satisfy the function.

We know that the conditions for which a function is continuous at b = x is :

a) f(x) exists

b) \(\lim_{ b\to x}\) or f(b) exists.

c) \(\lim_{b \to x}\) f(b) = f(x)

We know that for any value of c , for b ∈ ( - ∞ , 3] the function is continuous and for b ∈ ( 3 , ∞) the function is continuous. So , for any value of c, the first two conditions are satisfied.

Now we need to check for the continuity of the function at b = 3.

or

\(\lim_{b \to 2}\) f(b) = c × 3 + 8

or

\(\lim_{b \to 2}\) f(b) = 3c + 8

Now , check for the continuity of the function for other interval at b = 3.

\(\lim_{b \to 2}\) f(b) = c × 9 - 8

or

\(\lim_{b \to 2}\) f(b) = 9c - 8

To be continuous both values should be equal.

i.e.,

3c + 8 = 9c - 8

The value of constant c will be :

6c = 18

or

c = 6

Therefore , the value of constant c that makes the given function continuous at (-∞ , ∞) is 6.

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Answer:

Inverse Property of Addition

Step-by-step explanation:

Step-by-step explanation:

Given

1/5 + 3/4

= ( 4 + 15) / 20

= 19/20

Next question

2/3 + 1/8

= ( 16 + 3) / 24

= 19 / 24

Hope it will help :)❤

Answer:

Answer is \(\frac{4}{3}\)

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

\(-x^2+2x=y,y=0\)

\(-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2\)

\(\int\limits^2_0 {-x^2+2x} \, dx\)

Integrate.

\(\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3\)

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

let the short side = x

Long side = 3x

Middle side = 3x -3

x + 3x + 3x -3 = 32

Simplify:

7x -3 = 32

Add 3 to both sides:

7x = 25

Divide both sides by 7:

X = 5

answer: shortest side = 5cm

Answer:

At a package weight of 8 kilograms, the two couriers both cost $37

Step-by-step explanation:

Let's say the package weighs w kg.

First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w

Second courier: 5 + 4w

They are equal in cost, so

13 + 3w = 5 + 4w

subtract 3w from both sides to put all the variables on one isde

13 = 5 + w

subtract 8 from both sides to solve for w

w = 8

plug w=8 into one side of the original equation to solve for cost

13 + 3w = 5 + 4w = 37

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

2/9 in the simplist form

Step-by-step explanation:

you multiply both the fractions for the area

then simplify

Answer:

40%

Step-by-step explanation:

The first step is to add 18 girls + 12 boys, which gives you the total number of people on the swim team, 30.

Next, you divide the 12 boys by the total swim team members, so:

\(\frac{12}{30}\) = 0.4

Then, you multiply 0.4 by 100 to get the percentage:

0.4 × 100 = 40

Therefore, the swim team is made up of 40% boys, and 60% girls.

Answer:

40%

Step-by-step explanation:

30 total kids

12/30 as a decimal is 0.4

to make a decimal into a percent you move the decimal point 2 times to the right

that would be 40

then add the percent to make 40%

Answer:

\(y = - [ \frac{1}{t - \frac{28}{9} } + t ]\)

Step-by-step explanation:

Solution:-

- A change of variable is a technique employed in solving many differential equations that are of the form: y ' = f ( t , y ).

- Considering a differential equation of the form y' = f ( αt + βy + γ ), where α, β, and γ are constants. A substitution of an arbitrary variable z = αt + βy + γ is made and the given differential equation is converted into a form: z ' = g ( z ).

- This substitution basically allow us to solve in-separable differential equations by converting them into a form that can be separated, followed by the set procedure.

- We are to solve the initial value problem for the following differential equation:

                              \(y' = ( t + y ) ^2 - 1 , y ( 3 ) = 6\)

First Step: Make the appropriate substitution

- We will use a arbitrary variable ( z ) and define the our substitution by finding a multi-variable function f ( t , y ) that is a part of the given ODE.

- We see that the term ( t + y ) is a multi-variable function and also the culprit that doesn't allow us to separate our variables.

- Usually, the change of variable substitution is made for such " culprits ".

- So our substitution would be:

                               \(z = t + y\)

Second Step: Implicit differential of the substitution variable ( z ) with respect to the independent variable

- In the given ODE we see that the variable ( t ) is our independent variable. So we will derivate the supposed substitution as follows:

                              \(\frac{dz}{dt} = 1 + \frac{dy}{dt} \\\\\frac{dy}{dt} = -1 + \frac{dz}{dt}\)

Remember: z is a multivariable function of "t" and "y". So we perform implicit differential for the variable " z ".

Third Step: Plug in the differential form in step 2 and change of variable substitution of ( z ) in the given ODE.

- The given ODE can be expressed as:

                            \(\frac{dy}{dt} = ( t + y ) ^2 - 1\\\\\frac{dz}{dt} - 1 = ( z ) ^2 - 1\\\\\frac{dz}{dt} = z ^2 \\\) ... Separable ODE

Fourth Step: Separate the variables and solve the ODE.

- We see that the substitution left us with a simple separable ODE.

Note: If we do not arrive at a separable ODE, then we must go back and re-choose our change of variable substitution for ( z ).

- We will progress by solving our ODE:

                            \(\frac{dz}{z^2} = dt\\\\\int {\frac{1}{z^2} } \, dz = \int {1} \, dt\\\\-\frac{1}{z} = t + c\\\\\frac{1}{z} = - (t + c )\\\\z = -\frac{1}{t + c}\)

Where,

                     c: The constant of integration

Fifth Step: Back-substitution of variable ( z )

- We will now back-substitute the substitution made in the first step and arrive back at our original variables ( y and t ) as follows:

                           \(t + y = - \frac{1}{t + c} \\\\y = - [ \frac{1}{t + c} + t ]\)  

Sixth Step: Apply the initial value problem and solve for the constant of integration ( c )

- We will use the given initial value statement i.e y ( 3 ) = 6 and evaluate the constant of integration ( c ) as follows:

                           \(y ( 3 ) = - [ \frac{1}{3 + c} + 3 ] = 6 \\\\\frac{1}{3 + c} = -9\\\\3 + c = -\frac{1}{9} \\\\c = - \frac{28}{9}\)

Seventh Step: Express the solution of the ODE in an explicit form ( if possible ):

                          \(y = - [ \frac{1}{t - \frac{28}{9} } + t ]\)

Answer:

-10

Step-by-step explanation:

\(-\dfrac{3}{5}x=6 \\\\\\x=\dfrac{6}{-\dfrac{3}{5}} \\\\\\x=6\times -\dfrac{5}{3} \\\\\\x=-10\)

Hope this helps!

Answer:

x = -10

Step-by-step explanation:

So first and easily we have to multiply to --> -3/5x = 6

After that you just do the regular formula -->

Factor divided by the x

6 / (-3/5) = -10

-10

Hope this helps

The equation x^2 = 25 will given us a total of 1 solution as the solution for x because x = 5

we have the equation as  x^2 = 25

this is rewritten as

x² = 25

x = √25

x = 5

Then we would have the solution of x to be = 5. This is one solution based on the equation that has been solved.

there fore from the solution that we have here, it can be seen that the solution that x has is given as 1 because the solution is equal to 5.

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The equation, x^2 = 25 has two solutions as the values of x, which are either x = 5 or x = - 5.

x^2 = 25 [Given]

subtracting 25 from both sides, the equation becomes:

x^2 - 25 = 0

Applying the difference of two squares on the right-hand side, R.H.S. of the equation, it will become:

x^2 - 5^2 = 0

∴ (x - 5)(x+5) = 0

Thus, either: x - 5 = 0 or x + 5 = 0

Hence, x = 5 or x = - 5

Thus, the solutions (or roots) of x are 5 and -5, making them two solutions.

Hence, from the above, the equation, x^2 = 25, has two (2) solutions because the roots or solutions of the given quadratic equations obtained were 5 and  - 5.

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

√115

Step-by-step explanation:

14²= 9² + x²

x= √14²-9² = √115

Step-by-step explanation:

using Pythagores theorem

h²=p²+b²

14²=p²+9²

p²=196-81

p=√115

p=10.72

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given r and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.

In ΔABC,

There are two ships at point A and B in the ocean(a flat water level).

A pilot is flying at point C over the ocean.

Angle of depression from C to A = 49°

Angle of depression from C to B = 68°

Since, DE || AB

Hence because of alternate interior angles are equal.

Therefore, ∠DCA = ∠BAC = 49°, and

∠ECB = ∠ABC = 68°

Now in ΔABC, sum of three inside angles in a triangle is 180°.

Hence, ∠A + ∠B + ∠C = 180°

49° + 68° + ∠C = 180°

∠C = 180° - 49° - 68° = 63°

Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°

Distance of A to C = AC = b = 4

By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)

\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)

⇒ c x 0.9271 = 0.891 x 4

⇒ c x 0.9271 = 3.564

⇒ c = \(\frac{3.564}{0.9271}\)

⇒ c = 3.8442

Rounding off to the nearest tenth of a mile,

c = 3.8

Therefore, distance between two ships = AB = c = 3.8 miles

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Answer:

1/2 feet per second.

Step-by-step explanation:

PA BRAINLIEST

HOPE ITS HELP

GOD BLESS

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

D. 5^6

Step-by-step explanation:

\(5^2*5^4\\5^2^+^4\\5^6\)

Answer:

5 mph

Step-by-step explanation:

how old are you i learned this in 1st grade

Answer:

D.) Sheba

Step-by-step explanation:

Divide all their incomes by the number of hours they worked.

Santana:

205.85/23=8.95

$8.95 per hour

Zomi:

370.50/38=9.75

$9.75 per hour

Priya

156.10/14=11.15

$11.15 per hour

Sheba

282.45/21=13.45

$13.45 per hour

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

11x + 5 + 8x + 4 = 180

Simplifying like terms

11x + 8x = 180 - 5 - 4

19x = 171

x = 171/19

x = 9

RQS = 11(9) + 5

= 99 + 5

= 104°

TQS = 8(9) + 4

= 72 + 4

= 76°

a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

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Answer:

Step-by-step explanation:

One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

__

1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

True: translation can be replaced by two reflections

__

2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.

True: translation can be replaced by two rotations

__

3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

However, a rotation can be replaced by two reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.

False: rotation can be replaced by reflection

__

4. reflection by rotation and translation

As discussed above, reflection changes orientation, but rotation and translation do not.

False: reflection can be replaced by rotation and translation

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

Hi

Please mark brainliest ❣️

Answer:

q = M - 3p

Step-by-step explanation:

M = q+3p

to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.

M-3p = q

Answer:

q=m-3p

Step-by-step explanation:

m=q+3p

-3p. -3p

-3p+m=q