ME NEEDS SOME HELP WITH MATH PLS

Answer:

Step-by-step explanation:

To simplify the expression 3 x (3/4) whole to a unit fraction, we can start by multiplying the whole number 3 by the denominator of the fraction, which is 4:

3 x (3/4) = (3 x 4)/4 x (3/4) = 12/4 x 3/4

We can simplify the fraction 12/4 by dividing both the numerator and denominator by 4:

12/4 = 3

Substituting this back into the expression, we have:

3 x (3/4) = 3/1 x (3/4) = 9/4

Therefore, 3 x (3/4) whole is equal to the unit fraction 9/4.

The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그

Step-by-step explanation:

너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ

Answer:

1

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are  in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

Answer:

20 blogs

Step-by-step explanation:

Step 1:  Determine the proportion of pop culture blogs:

First, we need to determine the proportion of pop culture blogs already written.  We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:

The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers

Proportion =  26 / (20 + 26 + 7 + 12)

Proportion = 26 / 65

Proportion = 0.4

Step 2:  Multiply the proportion of pop culture blogs by the number of upcoming blogs:

To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:

Expected number of pop culture blogs = proportion of pop culture blogs *  number of upcoming blogs

Expected number = 0.4 * 50

Expected number = 20

Thus, you should expect 20 pop culture blogs to be written given the data.

There is no maximum and minimum values.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=∛(x+1)

Find where the first derivative is equal to 0 to find the local maxima and minima.

By differentiating the given function we get

\(f(x)=(x+1)^{\frac{1}{3} }\)

\(f'(x)=\frac{1}{3(x+1)^{\frac{2}{3} }}\)

For maxima f'(x)=0

0= \(\frac{1}{3(x+1)^{\frac{2}{3} }}\)

No local maxima or minima

Therefore, there is no maximum and minimum values.

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Based on the given parallelogram, a height of 5 units long as estimated by Leon is not reasonable.

The height of the parallelogram can be found by counting the number of squares from the base of the parallelogram to the top. The squares are given in the graph which is shown attached.

When this counting is done, we get 6 squares.

6 units is therefore the height of the parallelogram which means that Leon's estimate of 5 units is therefore not reasonable.

In conclusion, Leon's estimate is not a reasonable estimate.

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Answer:

x = 30

Step-by-step explanation:

well the two agnles are congruent so they have to equal the same angle

x+ 90 = 4x

solve for x bye subtracting x from 90

90 = 3x slove by dividing 90 by 3 getting x alone

90/3 = x

This means that when function f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.

what is function ?

A function in mathematics is a relationship between a set of inputs (also referred to as the domain) and a set of outputs (also referred to as the range), where each input has a unique outcome. Typically, the variable x stands for the input values, the variable y for the output values, and the variable f for the function itself (x). Tables, graphs, equations, and verbal descriptions can all be used to represent functions. In a wide variety of disciplines, including science, engineering, economics, and social studies, they are employed to model relationships between quantities. Functions are frequently used to explain the relationship between two quantities.

given

We must first determine the values of f(2) and g(2) independently using the provided functions in order to evaluate f(2) - g(2):

f(2) = 4(2)² - 1 = 15

g(2) = -4(2) + 8 = 0

These values can now be added to the expression f(2) - g(2) as a substitute:

f(2) - g(2) = 15 - 0 = 15

This means that when f(x) = 4x²- 1 and g(x) = 4x + 8, f(2) - g(2) = 15, and by using the equation as a substitute.

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Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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Answer:

Ok

Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

Step-by-step explanation:

The key sentence in this problem is "The cost c(in dollars) per family of the vacation home is inversely proportional to the number t of families sharing the house". Let's translate that into an equation by breaking it down. This is a fairly straightforward question but I will go through it in small steps as learning to translate word problems can be tricky!

First remove the descriptive words that do not translate to variables, constants, or operators. This leaves "cost per family is inversely proportional to number of families per cost of house". I rewrote "sharing the house" as "cost of house" since the families are sharing the cost of the house, not the actual house itself simultaneously. Proportionality in math is represented by the equation:

a1 / b1 = a2 / b2

In math "is" implies "=" or equality, and "per" implies "/" or division. So let's rewrite the sentence with that information.

"cost / family = number of families / cost of house"

Inversely proportional tells us that as c grows, t will decrease and vice-versa. Thus, we know c and t are on opposite side of the division sign. Another way you can look at it, is that we must flip the left side of the equation as it is inversely proportional (what we have now is directly proportional).

"cost / family = cost of house / number of families"

Now to get our final equation we just need to replace the remaining words with variables and constants. I will use Ch for cost of house and f for family, we already were given t for number of families, and c for cost.

c / f = Ch / t

We do not know Ch yet, but we do know f = 1 as it represents 1 family's associated cost. We can solve for Ch if we plug in the c = 1000, t = 3 pair of values we were given. I will omit f as division by 1 simplifies to the numerator (in this case c).

1000 = Ch/3

3000 = Ch Multiplying both sides by 3 and dividing simplifying division by 1

We can now rewrite our final proportion equation: c = 3000/t. Remember we want the cost to be 600 per family and are looking for t, the number of families we need.

600 = 3000 / t

600 * t = 3000 Multiplying both side by t

t = 3000 / 600 Divide both sides by 600

t = 5

So 5 families will result in each family contributing $600. The cool part about proportionality equations, is once we have solved for the equation constants we can figure out the resulting variable from any other variable. For example if I knew 8 families had signed up to rent my beach house this summer then I would be able to plug in t = 8 and get c = 3000/8 or c = 375. Thus each family would only pay $375. I hope this helps your understanding of proportionality and translating word problems into equations.

Answer:

c. y=-x+2

Step-by-step explanation:

since the slope is -1 and the y-intercept is 2, you can plug those numbers into the equation and get y=-x+2.

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

The area of the astroid is \(\frac{3\pi\cdot a^{2}}{8}\) square units.

The expression of the astroid is also equivalent to following parametric formulae:

\(x(t) = a\cdot \cos^{3} t\) (1)

\(y(t) = a\cdot \sin ^{3}t\) (2)

Based on the fact that the astroid has two axes of symmetry and each axis of symmetry is perpendicular to the other, we can determine the total area by multiplying the area between \(0\) and \(\frac{\pi}{2}\) four times:

\(A = 4\cdot \int\limits^{\frac{\pi}{2} }_{0} {x(t)\cdot \dot y(t)} \, dt\) (3)

If we know that \(x(t) = a\cdot \cos^{3} t\), \(y(t) = a\cdot \sin ^{3}t\) and \(\dot y = 3\cdot a\cdot \sin^{2}t\cdot \cos t\), then we have the following integral:

\(A = 12\cdot a^{2}\int\limits^{\frac{\pi}{2} }_{0 } {\sin^{2}t\cdot \cos^{4}t} \, dt\) (3b)

This area is equivalent to the following Beta and Gamma formulae:

\(A = 6\cdot a^{2}\cdot B\left(\frac{3}{2}, \frac{5}{2} \right) = \frac{6\cdot a^{2}\cdot \Gamma\left(\frac{3}{2} \right)\cdot \Gamma\left(\frac{5}{2} \right)}{\Gamma(4)}\)

By applying Gamma function properties we get the following result:

\(A = \frac{6\cdot a^{2}\cdot \left(\frac{3}{8} \right)\left[\Gamma\left(\frac{1}{2} )\right]^{2}}{3!}\)

\(A = \frac{3\pi\cdot a^{2}}{8}\)

The area of the astroid is \(\frac{3\pi\cdot a^{2}}{8}\) square units. \(\blacksquare\)

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Answer:

5, 8 and 2

Because it has the same angel as 3 there for it's 5 , 8 and 2

Step-by-step explanation:

c is an upside down parabola but it is not wide, it is very then so maybe e?

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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(a) Plot the observations:

  *

*   *

*   *

  *

  *   *

*   *

(b) Randomly assign cluster labels to each observation. Let's say we randomly assign observations 1, 2, and 3 to cluster 1, and observations 4, 5, and 6 to cluster 2. Then the cluster labels are:

1 1 1 2 2 2

(c) Compute the centroid for each cluster:

The centroid for cluster 1 is the average of the feature values for observations 1, 2, and 3:

centroid 1 = ((4+5+2)/3, (4+5+2)/3) = (3.67, 3.67)

The centroid for cluster 2 is the average of the feature values for observations 4, 5, and 6:

centroid 2 = ((5+5+2)/3, (2+2+5)/3) = (4, 3)

(d) Assign each observation to the centroid to which it is closest, in terms of Euclidean distance:

The distances between each observation and the centroids are:

Observation 1: sqrt((4-3.67)^2 + (4-3.67)^2) = 0.471

Observation 2: sqrt((4-3.67)^2 + (5-3.67)^2) = 1.028

Observation 3: sqrt((2-3.67)^2 + (2-3.67)^2) = 2.394

Observation 4: sqrt((5-4)^2 + (2-3)^2) = 1.414

Observation 5: sqrt((5-4)^2 + (5-3)^2) = 2.236

Observation 6: sqrt((2-4)^2 + (2-3)^2) = 2.236

Observations 1 and 2 are closest to centroid 1, and observations 3, 4, 5, and 6 are closest to centroid 2. So the new cluster labels are:

1 1 2 2 2 2

(e) Repeat (c) and (d) until the answers obtained stop changing:

Now we need to compute the centroids again, based on the new cluster labels.

Cluster 1: observations 1 and 2, with feature values (4,4) and (5,5)

centroid 1 = ((4+5)/2, (4+5)/2) = (4.5, 4.5)

Cluster 2: observations 3, 4, 5, and 6, with feature values (2,2), (5,2), (5,5), and (2,2)

centroid 2 = ((2+5+5+2)/4, (2+2+5+2)/4) = (3.5, 2.75)

Now we need to assign each observation to the centroid to which it is closest:

Observation 1:\(sqrt((4-4.5)^2 + (4-4.5)^2) = 0.707\)

Observation 2: \(sqrt((5-4.5)^2 + (5-4.5)^2) = 0.707\)

Observation 3: \(sqrt((2-3.5)^2 + (2-2.75)^2\)

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Solution

For this case we can find the rate of painting on this way:

14 portratits/ 28 hours= 1/2 portraits /hour

And then we can find the time required with this operation:

Then the final answer for this case would be 4 hours

Answer:

the answer is 45 + 5-75 is equals to 30 +5

Answer:

Hey there!

Point U has coordinates of (-5, 4)

Let me know if this helps :)

Answer:

(-5,4) is the coordinate of point U

Lucille is being charged a simple interest rate of 0.4, or 40%.

To determine the simple interest rate Lucille is being charged, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (P) is $1500, the time (T) is 6 months (or 0.5 years), and the total amount to be paid back (A) is $1500 + $300 = $1800. We need to find the rate (R).

Interest = Principal × Rate × Time

$300 = $1500 × R × 0.5

Simplifying the equation:

$300 = $750R

To isolate R, we divide both sides of the equation by $750:

$300 / $750 = R

0.4 = R

Therefore, Lucille is being charged a simple interest rate of 0.4, or 40%.

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