72 POINTS PLEASE HELP ME OR I WILL GET IN TROUBLE
Solve the following equation by showing all steps.

3 ( x – 2 ) = 15
Start by using distributive property:

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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A parallel conversion is a method of implementing a new system in which the old and new systems run simultaneously for a period of time. While this approach can have its benefits, there are also potential problems that may arise.

One of the problems with a parallel conversion is that there is a higher risk, as there are two systems running at the same time, which can be costly and require additional resources. Another problem is that the old hardware might fail, which can cause data loss or delays in the conversion process. On the other hand, a lower risk may not be applicable in a parallel conversion because the risk factor is already high. Also, the users have to enter data into both systems, which can be time-consuming and prone to errors. Finally, an abrupt conversion is not applicable in a parallel conversion because both systems are running together. Overall, the parallel conversion method requires careful planning and execution to minimize the potential problems and ensure a smooth transition.

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7.62

Step-by-step explanation:

Answer. 1/36

Step-by-step explanation:

1/6 chance 6 sides 6^2 cause gotta hit 1 twice so 6 Squared is 36 so 1 in 36 chance

One indication that there are paired samples in a data set is the presence of a natural pairing or connection between the observations. In paired samples, each observation in one group or condition is directly related to a corresponding observation in the other group or condition.

Some common examples of paired samples include:

Pre-test and post-test measurements: When measurements are taken on the same individuals or subjects before and after an intervention or treatment, they form a natural pair.

Matched case-control studies: In medical or epidemiological studies, researchers may match cases (individuals with a certain condition) with controls (individuals without the condition) based on certain characteristics, such as age, gender, or other relevant factors. The matching creates pairs of observations.

Repeated measures: In experimental or longitudinal studies, where measurements are taken at multiple time points on the same individuals, the repeated measurements form paired samples.

If you notice a clear relationship or connection between the observations in the data set, it suggests the presence of paired samples. Paired sample analyses, such as paired t-tests or paired difference analysis, are appropriate for examining the differences or changes within each pair of observations.

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Answer:

\(5x^3\sqrt{6}\)

Step-by-step explanation:

We need to simplify

\(\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}\)

Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.

\(= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}\)

The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is,  5x³ \(\sqrt{6}\)

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

three terms,

\(\sqrt3{x^{4} }\)

\(\sqrt{5x^{2} }\)

\(\sqrt{10}\)

by multiplying all the three terms,

⇒ \(\sqrt3{x^{4} }\) × \(\sqrt{5x^{2} }\) × \(\sqrt10} }\)

⇒  √(3x⁴×5x²10)

⇒   √ 150x⁶

⇒     5x³ \(\sqrt{6}\)

Hence, the product is   5x³ \(\sqrt{6}\)

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Answer:

x=5(20)+3(20)

Step-by-step explanation:

where x is the total amount spent

please mark brainliest.

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer:

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Step-by-step explanation:

Given that

Cheetah running at 90 km/h

Separated from a distance of 20 m

Now speed is 97 km/h

The time is 9 seconds

We need to find out whether it would catch up with the gazelle

For  Gazelle

90 km = 90 × 1,000 = 90,000 m

1 h = 1 × (60 x 60) = 3600 s

Now

90,000: 3,600 = 25 m / s

For Cheetah

97 Km = 97 × 1000 = 97,000 m

1 h = 1 × (60 × 60) = 3600 s

Now

97 000: 3600 = 26.94 i.e. 27 m/s

e = 27 m /s × 9 s = 243 m  

e = 25 m/s × 9 s = 225 m

Now

we have to add  20 m advantage to the gazelle.

So,

= 225 + 20

= 245 m

So based on the above calculation

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

since its the same you will have to multiple it all to get the answer

Answer:

2867 R5

Step-by-step explanation:

Answer:

287

Reminder:5

Decimal

2014÷7

=287.7142857142857

Answer: Radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

When the diameter is known, the formula is Radius = Diameter/ 2.

When the circumference is known, the formula is Radius = Circumference/2π.

When the area is known, the formula for the radius is Radius = ⎷(Area of the circle/π).

The radius of a circle from diameter: if you know the diameter d , the radius is r = d / 2

The value of Pi (π) is the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14159.

Step-by-step explanation:

The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.

When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.

We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.

The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.

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Answer:

120

Step-by-step explanation:

3*4(10) =

3*40 = 120

Hope this helps!

Answer:

1 / 5

Step-by-step explanation:

a = 2 - 9a

a + 9a = 2

10a = 2

a = 2 / 10

a = 1 / 5

The mass of the isotope after 45 hours is 2.5 grams.

Given, from the table we can find that when time is 10 hours,

the mass is 12.6 grams;

when time is 25 hours the mass is 6.3 grams .

And 12.6 × 1/2 = 6.3

Also we can find when time is 15 hours the mass is 10 grams,

when time is 30 hours, the mass is 5 grams as:

10 × 1/2 = 5

so we know that half life period is:

25 - 10 = 30 - 15 = 15 hours.

When time is 45 hours,

45 = 15+115

= 3 half life periods, so the mass is :

20 × 1/2 × 1/2 × 1/2

= 2.5 grams.

Hence the mass of the isotope after 45 hours is 2.5 grams.

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Answer:

The smallest number that Aleena could be thinking of is 2.75.

Answer:

M=2.4R

Step-by-step explanation:

Find the cost per ticket

24/10=2.4

The errors in the equation is shown below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

4a² x 3\(a^5\)

= 4 x 3 x \(a^{2 + 5}\)

= 12 \(a^7\)

\(x^6\) x (x) x x³

= \(x^{6 + 1 + 3}\)

= \(x^{10}\)

\(3^4\) x 2³

= 3 x 3 x 3 x 3 x 2 x 2 x 2

= 81 x 8

= 648

Thus,

The equation is solved correctly above.

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Answer:

1/6

Step-by-step explanation:

Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.

Answer:

5/36

Step-by-step explanation:

I got it right

Let's divide the shape into 1 triangle and 2 rectangles.

The solution for the indicated variable is o0 = (A - 159 + H).The answer is: o0 = (A - 159 + H).

A variable is a symbol or name that denotes a potentially changing value in mathematics and programming. Within a programme or mathematical statement, it is used to store and manipulate data. Variables can store a variety of data kinds, including characters, numbers, and complex objects. They also allow for value changes during programme execution or equation assessment.

Given equation is:(A - H1+160) + ; for 00We need to solve the equation for indicated variable, o0Subtract A from both sides of the equation we get,- H1+160 + ; for 00 - A=0

We need to solve for o0Add H to both sides of the equation we get,-1 +160 + ; for 00 - A + H =0Simplify the above expression and we get:159 + ; for 00 - A + H = 0

Hence, the solution for the indicated variable is o0 = (A - 159 + H).The answer is: o0 = (A - 159 + H).

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Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer:

The symbol 'n,' represents the total number of individuals or observations in the sample.

Answer:

The principal quantum number, n, describes the energy of an electron and the most probable distance of the electron from the nucleus. In other words, it refers to the size of the orbital and the energy level an electron is placed in. The number of subshells, or l, describes the shape of the orbital.

Answer:

The measure of the angle of each of the intercepted arc is 180°

Step-by-step explanation:

An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point

An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point

For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.

Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc

∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.

Using simple fraction, Jerry can make 4 pancakes using the left strawberries.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Strawberries that Jerry has = 4 2/3 = 14/3cups

Strawberries used to make breakfast smoothies = 2/12cups

Left strawberries = 14/3 - 2/12

=  56 - 2 /12

= 54/12

Jerry uses cups to make pancake = 54/12  /  13 / 12

= 4 pancakes

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