1. What is the sum of 1/9, 2/3, and 5/18?
O A. 30
O B. 12/9
O C. 19/18
O D. 4/15

Answer:

30 x 61 ÷ 100 = 18.3

Answer:

i think D

Step-by-step explanation:

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

A system of equations to represent this situation include the following:

2x + 2y = 4.40

3x + 4y = 7.80

In order to write a system of equations that model this situation, we would assign variables to the number of bagels and the number of cups of coffee respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into algebraic equation as follows:

Since 2 bagels and 2 cups of coffee cost $4.40, we would have:

2x + 2y = 4.40    .....equation 1.

Additionally, 3 bagels and 4 cups of coffee cost $7.80:

3x + 4y = 7.80    .....equation 2.

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

4\(\frac{3}{8}\)

Step-by-step explanation:

Answer:

4 3/8

Step-by-step explanation:

4*8=32 35-32=3

Answer:

janajaaajwjjwwjwjwuwjwjjw

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

5.397*10^11

Step-by-step explanation:

2.63*10^11

0.978*10^11

1.789*10^11

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

5.397*10^11

Answer:

x = 11

Step-by-step explanation:

Given that,

The slope of the line, m = 3/4

First point = (x,2)

Another point = (3,-4)

We need to find the value of x.

The slope of a line is given by the formula as follows :

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4

Put all the values,

\(\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11\)

So, the value of x is 11.

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

Answer:

6r to the 2nd power

Step-by-step explanation:

Answer:

the answer is c for the second one and the first one is A

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-\(\frac{13}{12}\)

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

\( \frac{1}{cosθ}=-\frac{13}{12}\)

cosθ=\(\frac{12}{13}\)

\(\frac{b}{h}\)=\(\frac{12}{13}\)

b=12

h=13

By using Pythagoras law

p=\( \sqrt{13²-12²}=5 \)

Now

exact values of tan θ=\(\frac{p}{b}\)=\(\frac{5}{12}\)

since it lies in II quadrant

tan θ=-\(\frac{5}{12}\)

and

sinθ=\(\frac{p}{h}\)=\(\frac{5}{13}\)

since it lies in II quadrant

sin θ=\(\frac{5}{13}\)

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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Answer:

26º

Step-by-step explanation:

746 - 360 = 386

386 - 360 = 26

Answer:

-15y

Step-by-step explanation:

The square root of any squared number is always the number itself.

So in this case, it is -15y

Brainliest please. It'll help a lot.

Answer:

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

Simplify the expression:

We know the square root is never negative and since y is positive, we get:

Part (a)

\(v=22(3)^{d/10}\)

Part (b)

We can rewrite the function as \(v=22(3^d)(3^{1/10})\). Thus, the percentage is \(100(1-3^{1/10})=11.6\%\)

A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

Given that, The total views of an online video are tripling every ten days. Initially there are 22 views of the video, v represents the number of views and d represents days

a) Since the number of views are tripling every ten days, so, the function will be =  \(v = 22(3)^{d/10}\)

b) We have function \(v = 22(3)^{d/10}\)

So, percentage = \(100(1-3^{1/10})\) = 11.6%

Hence, A model for the number of views, v, as a function of the number of days, d, since there were 22 views is \(v = 22(3)^{d/10}\) and the views increasing per day by 11.6%.

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The table of values is an illustration of an exponential function

The equation for the projected number of visitors after n years is \(a_n = 4 * 1.5^{n - 1}\)

An exponential function is represented as:

\(y = ab^x\)

From the table, we have:

(x,y) = (1,4) and (2,6)

So, we have:

\(y = ab^x\)

\(ab^1 = 4\)

\(ab =4\)

Also, we have:

\(ab^2 = 6\)

Divide both equations

\(ab^2 \div ab = 6 \div 4\)

\(b = 1.5\)

Substitute 1.5 for b in ab = 4

So, we have:

\(1.5a = 4\)

Divide through by 1.5

\(a = \frac{4}{1.5}\)

Recall that:

\(y = ab^x\)

So, we have:

\(y = \frac 4{1.5} * 1.5^x\)

This gives

\(y = 4 * 1.5^{x - 1}\)

Rewrite as:

\(a_n = 4 * 1.5^{n - 1}\)

Hence, the equation for the projected number of visitors after n years is \(a_n = 4 * 1.5^{n - 1}\)

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Answer:

C

Step-by-step explanation:

first take off the 148 of the 604 page book then divide the rest by 19 ,

it should be 24 hours - 1-day  .

it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer: \(f^{-1} (x)=x^{2} -7\)

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and the original x with y

\(f(x)=\sqrt{x+7} \\x=\sqrt{y+7}\)

Now we can solve for y

Square both sides so we can cancel out the root

\(x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7\)

Now subtract 7 from both sides

\(x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y\)

Now replace y with the inverse of f(x), \(f^{-1} (x)\)

f⁻¹=x²+7

Hope it helps.

Do comment if you have any query.

Solution

Use now the standard Form of the equation of ellipse for Vertical Major Axis.

The first co-vertex is (h , k - b)

The second co-vertex is (h , k + b)

Centre ( h , k)

Answer:

i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2

Answer:

Step-by-step explanation:

c = 0.5t + 2

12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20

c = 0.5(30)  + 2 ⇒ c = 17

20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36

Answer: Melissa's walking speed is 2mph. Her biking speed is 6mph

Step-by-step explanation:

Her total distance is 6 miles, because she walks 3 miles, and so the returning distance must also be 3.

Let her cycling speed (in mph) be x

Let her walking speed (in mph) be y

We know that x = y + 4

Since we know that S = D/T:

T = D/S

So her cycling time must be: T = 3/x

and her walking time must be: T = 3/y

since we know that x = y + 4, we can substitute this into her cycling time, and rewrite it as T = 3/y+4

we also know that 3/y+4 + 3/y = 2, because the problem says that the total time taken was 2 hours.

We simply need to solve this equation now:

3/y+4 + 3/y = 2

The LCD for y+4 and y is y² + 4y

so now we have:

(3y/y² + 4y) + (3y+12/y² + 4y) = 2

(6y + 12)/y² + 4y = 2

6y + 12 = 2y² + 8y

2y² + 2y - 12 = 0

Solve this using factoring:

2y² + 2y - 12 = 0

2(y² + y - 6) = 0

(y+3)(y-2) = 0

using ab = 0, then a or b =0:

y = -3, or y = 2

Since speed cannot be negative, our answer is 2 for y. So y, or the walking speed is 2mph. Since x = y + 4, we know that x = 6 mph

Melissa's walking speed is 2mph. Her biking speed is 6mph