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Answer:

Ten is at least the product of a number h and 5. h = 2

Step-by-step explanation:

Divide 10 by 5 and you get 2.

Check; 5 x 2 = 10

Answer:

a reflection over the line y= -x

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.

The logarithms of the terms of the geometric sequence a, ar, ar^2 form an arithmetic sequence because the logarithm of a product is equal to the sum of the logarithms of the individual factors.

To show this, let's take the logarithm of each term:

log(a) = x

log(ar) = y

log(ar^2) = z

Now, we can express the terms in terms of x, y, and z:

x = log(a)

y = log(ar) = log(a) + log(r)

z = log(ar^2) = log(a) + log(r^2)

If we subtract x from both sides of the equation for y, we get:

y - x = log(r)

Similarly, if we subtract x from both sides of the equation for z, we get:

z - x = log(r^2)

Notice that the difference between the terms y and x is equal to the difference between the terms z and x. This shows that the logarithms of the terms of the geometric sequence form an arithmetic sequence.

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Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)

A parametrization of the line passing through (-2, 10, -8) and (1, -6, -10) is given by (x, y, z) = (-2 + 3t, 10 - 16t, -8 - 2t), where t is a parameter.

To find a parametrization of the line, we can start by calculating the differences between the corresponding coordinates of the two given points: Δx = 1 - (-2) = 3, Δy = -6 - 10 = -16, and Δz = -10 - (-8) = -2.

We can express the coordinates of any point on the line in terms of a parameter t by adding the differences scaled by t to the coordinates of one of the points. Let's choose the first point (-2, 10, -8) as the starting point.

Therefore, the parametric equations of the line are:

x = -2 + 3t,

y = 10 - 16t,

z = -8 - 2t.

These equations give us a way to generate different points on the line by varying the parameter t.

For example, when t = 0, we obtain the point (-2, 10, -8), and as t varies, we get different points lying on the line.

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Answer:

decision-making

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

Answer:

this answer is b

Step-by-step explanation:

have a good day

The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

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Answer:

(1/2x+3)(1/2x+3)

         OR

\((1/2x+3)^{2}\)

Answer:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

\(2 - 5 = -3, -3\notin \mathbb{N}\)

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en \(\mathbb{N}\) a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

\(5 - 2 = 3\)

\(2 - 5 = -3, -3\notin \mathbb{N}\)

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en \(\mathbb{N}\) debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

\((6-4) - 1 = 2 - 1 = 1\)

\(6 -(4-1) = 6-3 = 3\)

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a \(\mathbb{N}\).

Step-by-step explanation:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

\(2 - 5 = -3, -3\notin \mathbb{N}\)

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en \(\mathbb{N}\) a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

\(5 - 2 = 3\)

\(2 - 5 = -3, -3\notin \mathbb{N}\)

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en \(\mathbb{N}\) debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

\((6-4) - 1 = 2 - 1 = 1\)

\(6 -(4-1) = 6-3 = 3\)

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a \(\mathbb{N}\).

Answer:

i thr 10 dollers would be ear by 1 thousand

Answer:

I think rhombus.

Step-by-step explanation:

Because a rhombus has all sides equal but no right angles. Squares and Rectangle both have right angles. And trapezoids have all different sides.

Answer:

Rhombus

Step-by-step explanation:

The difference in the lowest amount of water and the highest amount of water students drank is 1/2

From the complete question (see attachment for line plot), we have:

Least = 1/8

Highest = 5/8

The difference is then calculated as:

Difference = Highest - Least

This gives

Difference = 5/8 - 1/8

Evaluate

Difference = 4/8

Simplify

Difference = 1/2

Hence, the difference in the lowest amount of water and the highest amount of water students drank is 1/2

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The required equation for the distance D the end of the spring is below equilibrium in terms of seconds t is D(t) = 16e^(-0.2167t) sin(40πt).

The amplitude of the spring is decreasing exponentially, which means it will be in the form of a decaying exponential function:

A(t) = A0e^(-kt)

Where A0 is the initial amplitude, k is a positive constant, and t is time.

According to the problem, the initial amplitude is 16 cm, and the amplitude decreases to 11 cm after 3 seconds.

So, we can write the equation as follows:

11 = 16e^(-k*3)

Solve for k:

11/16 = e^(-3k)

ln(11/16) = -3k

k = ln(16/11) / 3

Substitute the value of k in the exponential function:

A(t) = 16e^(-0.2167t)

The spring oscillates 20 times each second, so its frequency is 20 Hz or 20 cycles per second.

The period of the oscillation can be found by T = 1/f, where f is the frequency.

T = 1/20 = 0.05 seconds

The general equation for the distance D of the end of the spring below equilibrium can be written as follows:

D(t) = A(t) sin(2πft)

D(t) = 16e^(-0.2167t) sin(2π(20)t)

D(t) = 16e^(-0.2167t) sin(40πt)

Therefore, the required equation for the distance D the end of the spring is below equilibrium in terms of seconds, t is  D(t) = 16e^(-0.2167t) sin(40πt).

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{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

surface area of a cube is 24 cm².

➡Edge length = ?

➡ volume = ?

Total Surface Area = 6(edge)²

Volume of cube = (edge)³

i) surface area of a cube is 24 cm²

⇒ 6(edge)² = 24

⇒ (edge)² = 24/6

⇒ (edge)² = 4

⇒ (edge) = √4 = + 2 ( as edge length cannot be negative)

Hence, edge of the cube is 2 cm

ii) volume = ?

volume= (edge)³

volume = (2)³

volume = 8 cm³

Hense, volume of the cube is 8cm³

\( \large \:\sf \underline{Explanation.}\)

\(\sf{\underline{Given}}\)

\(\sf{\underline{Formula}}\)

\( \sf \: {Let's \: Begin}\)

(i) Find the length of its edge.

Let edge = x

We know that,

TSA of cube = 6a²

6a² = 24

a² = 24/6

a² = 4

a = √ 4 { Ignore negative value}

a = 2

\( \bf \pink{length \: of \: edge \: \: = \: 2 \: cm}\)

(ii) Find its volume.

We know that,

(2)³

= 8

\( \bf \green{volume \: = \: 8 \: cm {}^{3} }\)

Thus ,

\( \red {\rule{ \170pt}{4pt}}\)

Answer:

$32

Step-by-step explanation:

24 divided by 3= 8

8*4=32

Answer:

$32

Step-by-step explanation:

Answer:

  14.5 cm

Step-by-step explanation:

The distance in km is ...

  (87 km)×1/600000 = 0.000145 km

Each km is 10^5 cm, so this is ...

  (0.000145 km)(10^5 cm/km) = 14.5 cm

Answer:

-3,3

Step-by-step explanation:

Answer:

_3,3 this is the right answer

Answer:

14-16=2

Step-by-step explanation:

2÷5=0.4

probability is 0.4

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Given:

W for win

L for lose

The sample space is given by:

WWW

WWL

WLW

WLL

LWW

LWL

LLW

LLL

Therefore, there is 8 possible sample space of the results.

Answer: 8 possible sample space of the results

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

Answer:

\({ \tt{ {4x}^{6} - {16x}^{2} = {(2x {}^{3}) }^{2} - {(4x)}^{2} }} \\ \)

• from difference of squares:

\({ \boxed{ \rm{( {a}^{2} - {b}^{2} ) = (a - b)(a + b)}}}\)

• a → 2x³

• b → 4x

\({ \underline{ \underline{ \tt{ = \: (2 {x}^{3} - 4x)(2 {x}^{3} + 4x) \: }}}}\)

Answer:

Step-by-step explanation:

The graph shows that as more time passes, more boxes are being manufactured. Therefore, the number of boxes relies on the number of hours.

Hope this helps :)

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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Answer:

gg

Step-by-step explanation:

gfg