A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)​

A sum of the amount is distributed among 4 persons, each person got $ 7/2 of the amount what is the sum of the amount.

The reciprocal of one fraction multiplied by another fraction results in a division of fractions. There is a denominator and a numerator in a fraction. By twisting the fractions, we practically multiply them when we divide one fraction by another.

Example:

1/2 ÷ 2/3 => \(\frac{1}{2} \times \frac{3}{2}\)  

Here we have

4 divided by 2/7  

By the given data the above mathematical statement

can be expressed as given below

=>  \(4 \times \frac{7}{2}\)      

Which implies 4 is multiplied by 7/2

Here 7/2 = 3.5

The question can be formed as  

A sum of the amount is distributed among 4 persons, each person got $ 7/2 of the amount what is the sum of the amount.

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Answer

IM not too sure

Step-by-step explanation:

Not too sure sorry kid

Answer:

25 and 10 are the numbers

Step-by-step explanation:

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Answer:

it is the last one ( HE SIMPLYFIED INCORECCT)

Step-by-step explanation:

i took the test

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

This problem seems like a lot when you read through it, but when you start to analyze the problem, the whole first line is extra information that we don't actually need. The part we really need to pay attention to is:

"p = qr - f, write the equation with q solved in terms of p, r, and f."

So, all we are doing here is some manipulating of the equation to get what we want. So, if p = qr - f, we can isolate the variable (q), to get p + f = qr. Now all we have to do is divide both sides by r to isolate the variable (q) even further, and we get \($\frac{p+f}{r}=q$\) or \($r=\frac{p+f}{r}$\(

Answer:

sinθ = 125/356

cscθ = 356/128

cotθ = 8/3

Step-by-step explanation:

First, we must find the hypotenuse

8² + 3² = c²

64 + 9 = c²

73 = c²

Square root both sides

√73 = √c²

c = 8.544

Let's find sinθ

sinθ = opposite/hypotenuse = 3/8.544 = 125/356

cscθ is sinθ but flipped, so it is 8.544 = 356/128

cotθ is tanθ but also flipped, so it is 8/3

Answer:

1/4

Step-by-step explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:

B) Circle

Step-by-step explanation:

Answer:

y = x/5280  

Step-by-step explanation:

y  miles =  x feet / 5280

\(\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}\)

The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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Answer : 8$

you have 1$ left

Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

\( {\boxed {\sf{x = 24 \degree}}}\)

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

Therefore, x = 24°

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

Answer:

start by adding 4 to the other side. Now you have 2x=9. Now in order to get x by itself you divide and get x=9/2.

Answer:

The answer is   \(\frac{9}{2}\)

Step-by-step explanation:

\(2x-4=5\\2x=5+4\\x=\frac{9}{2}\)

(f/g)(0) is an illustration of composite function.

The value of (f/g)(0) is -3/2

The given parameters are:

\(f(x) = x + 3\)

\(g(x) = x^2 - 2\)

First, we calculate (f/g)(x)

(f/g)(x) is represented as

\((f/g)(x) = \frac{f(x)}{g(x)}\)

Substitute values for f(x) and g(x)

\((f/g)(x) = \frac{x + 3}{x^2 -2}\)

Substitute 0 for x

\((f/g)(0) = \frac{0 + 3}{0^2 -2}\)

Evaluate the exponents

\((f/g)(0) = \frac{0 + 3}{0 -2}\)

Simplify the numerator and the denominator

\((f/g)(0) = \frac{3}{-2}\)

Rewrite as:

\((f/g)(0) = -\frac{3}{2}\)

Hence, the value of (f/g)(0) is -3/2

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Answer:

The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.

Step-by-step explanation:

The volume of a cylinder (\(V\)), measured in cubic meters, is represented by the following formula:

\(V = \pi\cdot r^{2}\cdot h\) (1)

Where:

\(r\) - Radius, measured in meters.

\(h\) - Height, measured in meters.

Then, we differentiate (1) in time:

\(\dot V = 2\pi \cdot r\cdot h \cdot \dot r +\pi \cdot r^{2}\cdot \dot h\) (2)

Where:

\(\dot V\) - Rate of change of the volume, measured in cubic meters per minute.

\(\dot r\) - Rate of change of the radius, measured in meters per minute.

\(\dot h\) - Rate of change of the height, measured in meters per minute.

Then, we clear the rate of change of the height:

\(\pi \cdot r^{2}\cdot \dot h = \dot V-2\pi \cdot r\cdot h \cdot \dot r\)

\(\dot h = \frac{\dot V - 2\pi \cdot r\cdot h\cdot \dot r}{\pi \cdot r^{2}}\)

\(\dot h = \frac{\dot V}{\pi \cdot r^{2}}-\frac{2\cdot h\cdot \dot r}{r}\)

\(\dot h = \frac{1}{r}\cdot \left(\frac{\dot V}{\pi \cdot r}-2\cdot h\cdot \dot r \right)\) (3)

If we know that \(\dot V = -3\,\frac{m^{3}}{min}\), \(r = 7\,m\), \(h = 4\,m\) and \(\dot r = 0\,\frac{m}{min}\), then the rate of change of the height is:

\(\dot h = \left(\frac{1}{7\,m} \right)\cdot \left[\frac{-3\,\frac{m^{3}}{min} }{\pi\cdot (7\,m)-2\cdot (4\,m)\cdot \left(0\,\frac{m}{min} \right)} \right]\)

\(h = -0.019\,\frac{m}{min}\)

The rate at which the water level is falling when the water is 4 meters deep to the nearest hundredth is 0.02 meters per minute.

Answer:

So 15 of 16GB iPad and 21 of 64GB iPad was sold

Step-by-step explanation:

Let 16GB iPad= x

Let 64GB iPad= y

Total iPad= 36

Cost of x = $50

Cost of y = $79

Total sales amount= $2409

So let's form the equation.

X + Y = 36. ...... equation 1

50x + 79y = 2409..... equation 2

X + Y = 36

50x + 79y = 2409

X = 36-y

50(36-y) +79y =2409

1800- 50y +79y =2409

79y-59y= 2409-1800

29y= 609

Y= 609/29

Y= 21

X= 36-y

X= 36-21

X= 15

So 15 of 16GB iPad and 21 of 64GB iPad was sold

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

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Answer:

no

Step-by-step explanation:

4 33/100 is equal to 4.33, it is 4.33, not 4.33 with the dot on it, it means recurring decimal. It is jot a recurring decimal. :)

This isn't really a question so I'll just go through all of it.

1200 dollars will take about 17 months to pay off with installments of 70 dollars.

900 dollars will take 22.5 months to pay off with 40 dollar installments.

Tiffany will pay off her debt first.

Answer:

Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".

Step-by-step explanation:

Answer: Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".

Step-by-step explanation:

Respuesta:

2/9

Explicación paso a paso:

Dado que :

tarjeta numerada = 1 - 15

Probabilidad de obtener un número no menor o igual a 5

Número de cartas no menor o igual a 5:

Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10

Probabilidad = resultado requerido / Total de resultados posibles

P (Tarjeta no ≤ 5) = 10/15 = 2/3

Número de cartas menor o igual a 5:

Tarjetas ≤ 5 = 1, 2, 3, 4, 5

P (Tarjeta ≤ 5) = 5/15 = 1/3

P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)

2/3 * 1/3 = 2/9

Calcularemos la probabilidad del evento combinado para obtener: P = 0.22

La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.

Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:

p = 5/15

La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:

q = 10/15

La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:

P = (10/15)*(5/15) = 10/45 = 0.22

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