(please help me with Complete
solution and explanation please )​

The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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If the first and last terms of an arithmetic series are 5 and 27, respectively, and the sum of the series is 192, then the number of terms in the series can be calculated as 12.

To find the number of terms in the arithmetic series, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

We are given the first term (5), the last term (27), and the sum (192). Plugging these values into the formula, we have:

192 = (n/2)(5 + 27)

Simplifying the equation:

192 = (n/2)(32)

192 = 16n

Dividing both sides of the equation by 16:

n = 192/16

n = 12

Therefore, the number of terms in the arithmetic series is 12.

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The real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.

To determine the real values of $c$ for which the expression $4x² + 14xc + c$ is the square of a binomial, we need to find the conditions under which it can be factored as $(ax + b)²$, where $a$ and $b$ are constants.

Expanding $(ax + b)²$, we have $(ax + b)² = a²x² + 2abx + b²$. Comparing this with $4x² + 14xc + c$, we can set up the following equations:

$a² = 4$ (equating the coefficients of $x²$)

$2ab = 14c$ (equating the coefficients of $x$)

$b² = c$ (equating the constant terms)

From the first equation, we find that $a = \pm 2$. Substituting this value into the second equation, we have:

$2(\pm 2)b = 14c$

$\Rightarrow \pm 4b = 14c$

$\Rightarrow b = \pm \frac{14c}{4}$

$\Rightarrow b = \pm \frac{7c}{2}$

Finally, substituting the values of $a$ and $b$ into the third equation, we get:

$\left(\pm \frac{7c}{2}\right)² = c$

$\Rightarrow \frac{49c²}{4} = c$

$\Rightarrow 49c² = 4c$

$\Rightarrow 49c² - 4c = 0$

$\Rightarrow c(49c - 4) = 0$

Now, we can solve this equation to find the values of $c$:

$c = 0$: This is one possible solution.

$49c - 4 = 0 \Rightarrow 49c = 4 \Rightarrow c = \frac{4}{49}$: This is another possible solution.

Therefore, the real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.

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The sequence of transformations used to show the congruence of polygons JKLMN and PQRST is to reflect PQRST across the y-axis and then translate the result down 10 units.

We are given two polygons. Both the polygons are congruent, and to prove it, we can use the concept of transformations. The first transformation we need to perform is to reflect the polygon PQRST across the y-axis. The next transformation that needs to be performed is to translate the result down by 10 units. We find that the polygon PQRST now coincides with the polygon JKLMN. Hence, it is proved that the polygons are congruent to each other.

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Answer: 5 19/20  or 5.95

Step-by-step explanation:

The farmer sold 5.95 kilograms of pears at the market.

Answer:

1/3

Step-by-step explanation:

the is slope of this graph is 1_3

Answer:

1/3

Plssssss mark as brainliest

Step-by-step explanation:

To find the slope of a graph you need to look for 2 pairs of accurate xand y values

First value which is accurate is:

x = 1 and y= 4

Second pair which is accurate is :

x = 7 and y = 6

Gradient = rise/run = y2-y1/x2-x1

im taking y2 as 6, x2 as 7, y1 as 4 and x1 as1

6-4/7-1

=2/6

=1/3

The cost of the athletic shoe is $20 meanwhile the cost of the casual shoe is $35.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

Firstly, you should extract the main information of the question.

Next,  you should convert the given text information into equations. See below.

20A+10C=750 (1)

25A+20C=1200 (2)

From the substitution method, you can solve this question by following the steps below:

1) Multiply equation 1 by the number -2. Then, you have:

-40A-20C= -1500 (1)

25A+20C=1200 (2)

2) Sum the previous equations presented in step 1.

-15A=-300

15A=300

A=300/15

A=20

3) Find the variable C from equation 2. In step 2, you find  A=20, thus.

25A+20C=1200 (2)

25*20+20C=1200

500+20C=1200

20C=1200-500

20C=700

C=700/20

C=35

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The probability that the offices will be assigned to 2 of the men and 1 of the women will be 3/5

Lets find all the combinations of 2 men and 1 woman that can be chosen

(men, men, women) m m w

3/5 x 2/4 x2/3

(men, women, men) m w m

3/5 x 2/4 x 2/3

(women, men, men) w m m

2/5 x 3/4 x2/3

then just add those probabilities together:

= 3/5x2/4x2/3+3/5x2/4x2/3+2/5x3/4x2/3

= 12+12+12/60

this simplifies to 3/5

Simply put, probability measures how probable something is to occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics explains the examination of events that can occur subject to probability.

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Answer:

22.74

Step-by-step explanation:

3.79 times 6 = 22.74

Answer:

Volume = 6x^3 + 39x^2 + 54x cubic units

Step-by-step explanation:

Volume = (x+2)*(3x)*(2x+9)

Volume = (3x)*[(x+2)*(2x+9)]

Volume = (3x)*[(2x^2+13x+18)]

Volume = 6x^3 + 39x^2 + 54x

Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is

10x + 3y + 0.5z.

The total number of cows, pigs, and sheep bought by the farmer is

x + y + z.

Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.

:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)

Multiplying equation (2) by 10 on both sides, we get

:10x + 10y + 10z = 1000

Subtracting this equation from equation (1), we get

:7y + 9.5z = 500

The LHS of the equation

7y + 9.5z = 500

is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both

3y and 0.5z

are integers.

The solutions are:

x =

52,

y = 8,

z = 40 ---(Option A)

or = 48,

y = 16,

z = 36

x = 44,

y = 24,

z = 32x

= 40,

y = 32

z = 28

The farmer buys 52 cows, 8 pigs, and 40 sheep.

Hence,

the answer is 52 cows, 8 pigs, and 40 sheep.

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Answer:

2x^2x(x^+3x-2)

Step-by-step explanation:

Answer:move the midle dot 1 left  move the other one to the x

Step-by-step explanation:

The current is constant over time as long as the magnetic field strength and other parameters remain constant.

The current through a solenoid can be calculated using the formula:

I = (B * A * N) / R

where I is the current, B is the magnetic field, A is the cross-sectional area of the solenoid, N is the number of turns, and R is the resistance of the solenoid.

Assuming that the solenoid is made of a material with negligible resistance, the resistance can be ignored and the formula reduces to:

I = (B * A * N) / R

The magnetic field inside the solenoid can be calculated using the formula:

B = (μ * N * I) / L

where μ is the permeability of free space, N is the number of turns, I is the current, and L is the length of the solenoid.

Assuming that the magnetic field is uniform across the cross-sectional area of the solenoid, the formula for current can be further simplified to:

I = (μ * A * N^2 * V) / (L * R)

where V is the volume of the solenoid.

Plugging in the given values for the solenoid (A = πr^2, r = 2.0 cm, N = 400, L = 20 cm) and assuming a magnetic field strength of 1 tesla, the current through the solenoid can be calculated to be approximately 0.63 A. The current is constant over time as long as the magnetic field strength and other parameters remain constant.

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Answer:

Some hot dogs come in packages of 8.

A baker of hot dog buns package 7 hot dog buns to a package.

So, on every hot dog the baker will earn have a profit of price of one hot dog

Suppose, baker bought 8 packets of packages of 8 hot dogs.

He will have profit of 8 hot dogs

Because if he is selling 8 packets of packages of 7 that means he will earn profit of price of 8 hot dogs.

Step-by-step explanation:

The probability that a student picked at random would pick a room filled with cupcakes or computers using probability concept is 0.26.

Probability is the ratio of required outcome to the total possible outcomes.

Mathematically,

Probability = Required outcome / Total possible outcomes

Room filled with computers or cupcakes = Number of rooms filled with computers + Number of rooms filled with cupcakes = 12 + 3 = 15

Total number of rooms = 12+3+12+3+29 = 59

P(computers or cupcakes) = 15/59 = 0.259

Therefore, the probability that a student picked at random would pick a room filled with cupcakes or computers is 0.26.

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Answer:

no

Step-by-step explanation:

Answer:

  140 cm

Step-by-step explanation:

The distance of the foot of the ladder from the building can be found using the Pythagorean theorem (or your knowledge of Pythagorean triples). Once the two distances are found, their difference can be found.

The 650 cm ladder reaches 520 cm up the side of the building. The ratio of these side lengths is 650/520 = 5/4, suggesting these are the sides of a 3-4-5 right triangle. The distance from the building is ...

  (3/5)×650 cm = 390 cm.

Alternatively, the distance (a) from the building can be found using the Pythagorean relation ...

  a² +b² = c²

  a² +520² = 650²

  a = √(422500 -270400) = √152100 = 390 . . . cm

The 650 cm ladder reaches 520 +80 = 600 cm up the side of the building. The ratio of these side lengths is 650/600 = 13/12, suggesting these are the sides of a 5-12-13 right triangle. The distance from the building is ...

  (5/13)×650 cm = 250 cm

Again, the Pythagorean theorem can be used to obtain the same result:

  a = √(422500 -360000) = √62500 = 250 . . . cm

The difference between the two distances is ...

  390 cm -250 cm = 140 cm

The foot of the ladder will be 140 cm closer to the building.

Answer:

194725

Step-by-step explanation:

Given the digits :

70925 : 7, 0, 9, 2, 5

Largest 5 - digit even number : 97520

Largest 5 - digit odd number : 97205

The sum of the largest even and odd numbers formed :

97520 + 97205

= 194725

Answer: each female costume requires 8 metres of fabric and every male costume requires 6 metres of fabric.

Explanation-

let f be the female costumes and m be the male costumes:

3f + 4m = 48

3f + 2m = 36

solve simultaneous equations

2m = 12

male = 6 metres

sub vale back in

3f + 2m = 36

3f + (2×6) = 36

3f + 12 = 36

3f = 24

f = 8 metres

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Answer: Measure of CED is: 212°

Answer:

Answer is A

Step-by-step explanation:

A because if you multiply 25.4 x 96 you'd get 2438.4 then since you estimating 2438.4 is closer to 2500

Answer:

No.

Step-by-step explanation: I might be wrong but I say no.

Answer:

x ≈ 20.6°

Step-by-step explanation:

3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →

x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°

x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

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Answer: C and E

Step-by-step explanation: P would equal 13. For A, 25 more than 38 would equal 63 so that would be incorrect. For B it says 25 times as p (13) would equal 38. That is incorrect. And for D, for Rachel to jog 38 more times as Will, who jogged 25 blocks, wouldn't make sense for the equation. C and E makes the most sense.

Answer:

- 12

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

9 - 16 = 2 - 9 = - 5 - 2 = - 7

Thus to find the next term subtract 7 from the previous term, that is

- 5 - 7 = - 12

A linear function is one that begins with f{x} followed by the rest of the equation that respects the slope intercept form of an equation