A shop buys a stock of 1440 pencils at 55 Naira each. Estimate the total cost of the pencils in naira.​

Answer:

l = √10

Step-by-step explanation:

We're given the value of a as 3 feet and the value of b as 1 feet (because 2/2 = 1). We are to find the value of l using Pythagorean Theorem.

Therefore, the answer is √10 feet.

Answer:

c = - 1, c = 0, c = 6

Step-by-step explanation:

c³ - 5c² - 6c = 0 ← factor out c from each term on the left side

c(c² - 5c - 6) = 0 ← factoring the quadratic

c(c - 6)(c + 1) = 0

equate each factor to zero and solve for c

c = 0

c - 6 = 0 ⇒ c = 6

c + 1 = 0 ⇒ c = - 1

Answer:

B

Step-by-step explanation:

Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:

I. 5 feet and 13 feet:  5^2 + 12^2 = 13^2 is TRUE

II.  9 ft and √63 ft:  9^2, 63, 12^2:  63 + 81 do add up to 144  TRUE

III.  2, 10, 12^2:  2 + 10 do NOT add up to 144.  FALSE

Answer B is correct

The velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

The centripetal force (Fc) felt by the trainee can be calculated using the following equation:

Fc = mv2/r

Where m is the mass of the trainee, v is the velocity and r is the radius of the circle.

Therefore, the velocity (v) required to produce a centripetal force of 7.85 times the mass of the trainee can be calculated as follows:

v =√(Fc x r/m)

=√(7.85 x 12.0/m)

=√(94.2/m)

For a given mass, the velocity is therefore 94.2/m m/s.

Converting to revolutions per second (rev/s), the velocity can be calculated as follows:

v = (2πr)/T

= (2π x 12.0)/(94.2/m)

= (14.14 x m)/94.2

= 0.15 x m rev/s

Therefore, the velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

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Answer:

Step-by-step explanation:

I think it's 64

Short-term investments characteristics  are:

Others are:

Long-term investments characteristics  are:

Long-term investments are known to be a kind of assets that people or a firm intends to keep for a long period of time that is usually more than three years.

Note that Long-term investors usually take on a high degree of risk when one is said to be after higher returns.

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Answer: (a) tan 16°:

Using a calculator, we get:

tan 16° ≈ 0.291

Rounding to three significant figures, tan 16° ≈ 0.291.

(b) tan 89°:

Using a calculator, we get:

tan 89° ≈ 57.290

Note that this value is extremely large and not meaningful in most contexts.

(c) tan 18.7°:

Using a calculator, we get:

tan 18.7° ≈ 0.340

Rounding to three significant figures, tan 18.7° ≈ 0.340.

(d) tan 45.4°:

Using a calculator, we get:

tan 45.4° ≈ 1.058

Rounding to three significant figures, tan 45.4° ≈ 1.06.

Step-by-step explanation:

Answer:

the answer is 10.25

Step-by-step explanation:

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω＼*)

Answer:

Step-by-step explanation:(2^2+b)(a^2-9b)

This means to expand the brackets

2^2=4

(4+b)(a^2-9b)

Look at the first bracket

The first term is 4 and is multiplied by the second bracket

4(a^2-9b)   expand the brackets

=4a^2-36ab

and

The second term of the first bracket is:

b(a^2-9b)=a^2(b)-9b^2

We now add the two expanded brackets together to get the following:

=4a^2-36ab+a^2-9b^2

cannot be simplified any further

Answer:

B. x > 4

Step-by-step explanation:

12 < 8 + x

12-8 < 8-8 +x

12-8 < x

4 <x

x > 4

A relation that assigns to each element x from a set of inputs, or domain, exactly one element y in a set of outputs, or range, is called a  function.

This is further explained below.

Generally, A mathematical function from set X to set Y gives each element of X a unique value in Y. The set X is known as the function's domain and the set Y is its codomain. The original function was a simplification of the relationship between two variables.

In conclusion, A relation is said to be a function if it assigns precisely one element y from a set of outputs to each and every one of the domain's inputs.

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The probability that the average score of the 36 golfers exceeded 71 is approximately 0.0228. The correct answer is (a) 0.0228.

To find the probability that the average score of the 36 golfers exceeded 71, we can use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.

Given that the mean of the average scores is 70 and the standard deviation is 3.0, we can calculate the standard error of the mean using the formula: standard deviation / sqrt(sample size).

In this case, the standard error of the mean is 3.0 / sqrt(36) = 3.0 / 6 = 0.5.

Now, we need to convert the average score of 71 to a standardized score (z-score) using the formula: (x - mean) / standard error.

The z-score for an average score of 71 is (71 - 70) / 0.5 = 1 / 0.5 = 2.

We can then find the probability of the average score exceeding 71 by finding the area under the normal distribution curve to the right of the z-score of 2. This can be done using a standard normal distribution table or a calculator.

Looking up the z-score of 2 in a standard normal distribution table, we find that the probability is approximately 0.0228.

Therefore, the probability that the average score of the 36 golfers exceeded 71 is approximately 0.0228.

The correct answer is (a) 0.0228.

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Answer:  The equation simplifies to 0=0 (all real numbers are solutions)

Step-by-step explanation:

Solve the equation step-by-step:

(x2+x−6)/(x−2)=x+3

Multiply both sides by x-2.

x2+x−6=x2+x−6

Subtract x^2 from both sides

x2+x−6−x2=x2+x−6−x2

x−6=x−6

Subtract x from both sides

x−6−x=x−6−x

−6=−6

Add 6 to both sides

−6+6=−6+6

0=0

Check the answer.

0=0  (Works in the original equation)

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Answer:

55 cm²

Step-by-step explanation:

side length of square = perimeter/4 = 40/4 = 10 cm.

area of square = side x side = 10 x 10 = 100 cm²

area of triangle #1 = 1/2bh = 1/2(3)(10) = 15

area of triangle #2 = 1/2bh = 1/2(6)(10) = 30

100 - 15 - 30 = 55 cm²

Answer:

Step-by-step explanation:

Solution

-=− 5

The remainder of the division problem given by the image at the end of the answer is as follows:

When a division does not result in an exact term, we have that the quotient is added to the remainder.

A long division problem is represented as follows:

q(x) + (r(x)/b(x))

In which the terms are listed as follows:

In this problem, the division is given as follows:

(x + 1)/x.

Separating the division into two terms, we have that:

(x + 1)/x = x/x + 1/x = 1 + 1/x.

Hence:

The division in this problem is:

(x + 1)/x.

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Answer: B. 1

Step-by-step explanation:

edge 2023

A number cube has six numbers, from 1 to 6, with one number on each face.

Since the number cube is fair, the probability of each number being rolled is the same.

So, to find the probability of one specific number being rolled, we just need to divide 1 by the total amount of numbers:

The probability of rolling a 2 is the same as rolling any other number, therefore the probability is 1/6.

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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Answer:

1) \(49 {a}^{2} - 16 {b}^{2} \)

2) \(251502\)

Step-by-step explanation:

a) Question :-\((7a - 4b)(7a + 4b)\)

Identity used here :-\((a + b)(a - b) = {a}^{2} - {b}^{2} \)

So,

\((7a + 4b)(7a - 4b)\)

\(=> {(7a)}^{2} - {(4b)}^{2} \)

\(=> 49 {a}^{2} - 16 {b}^{2} \)

b) Question :- \(501 \times 502\)

Identity used here :-\((x + a)(x + b) = {x}^{2} + (a + b)x + ab\)

So,

\(501 \times 502 = (500 + 1)(500 + 2)\)

\( = > {(500)}^{2} + (1 + 2)500 + 1 \times 2\)

\( = > 250000 + 1500 + 2\)

\( = > 251502\)

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

50.1

Step-by-step explanation:

let the height = h

so because that angle is 62 so it's supplemental angle in left triangle is 28°

in any triangle, the tangent of an angle is opposite/adjacent

so height/28 = tan28° =0.53

so height = 14.8

in any triangle, the sine of an angle is opposite/hypotenuse

so height / x = sin 38°

so x = 14.8 / sin 38° = 14.8/0.296 =50.1

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

Answer:

$42 for 28 binders.

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

-------------------------------

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

When a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will shift towards the left side of the body.

Explanation:

The point at which the weight of a body or an object is concentrated, that is, the point at which the mass of the body or the object is focused is known as the center of gravity. The center of gravity (CG) is the point where the weight of the body is supposed to act, which is the point about which the body remains in balance. The body's center of gravity is important because it affects its balance and stability

                             .When a person is standing in a neutral position, the center of gravity is in the midline of the body. When the person flexes their right shoulder and holds their arm horizontally, the center of gravity will shift towards the left side of the body. This is because the weight of the arm is now being supported by the left side of the body. The shift in the center of gravity will cause the person to adjust their posture to maintain balance and stability.

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Answer:A. slope: 7, y-intercept: 10

Step-by-step explanation:

Transform the equation into slope intercept form, y=7x+10. In the form y=mx+b, m = slope and b = y-intercept

So,

Let "x" and "y" be the numbers that we're asking for.

As we know, one number is one more than the other, so we could write:

And,

Now, the equation that we could state is: