Solve for A. R = x(A + B) Oddesey

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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The type of phototropism being shown by the plant in the photograph is Positive phototropism .

Positive phototropism is a type of plant growth response in which the plant grows towards a source of light. This is because light is a source of energy that plants use for photosynthesis, and positive phototropism allows plants to position themselves to maximize their exposure to sunlight.

In contrast, negative phototropism is a type of plant growth response in which the plant grows away from a source of light, such as when roots grow away from light to seek out water and nutrients in the soil.

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Answer:

30 cm

Step-by-step explanation:

18x1.66666667=30

Hope this helps :)

Answer:

EIM

Step-by-step explanation:

simentrical side cuting.then the other side also same area

Answer:

CanNot Be Determined

Step-by-step explanation:

Answer:

wheres the picture?

Step-by-step explanation:

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;

B. 96 in²

The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.

The description of the shape in the figure = Square pyramid

Side length of the square base of the square pyramid = 4 inches

Base length of the triangular slant faces = Side length of the square base = 4 inches

Height of the triangular faces = 10 inches

The surface area of the square pyramid is therefore;

Sum of the area of the four triangular faces + Area of the square base

Area of one triangular face = (1/2) × 4 × 10 = 20

Area of the square base = 4 × 4 = 16

The total surface area of the square pyramid is therefore;

A = 4 × 20 in² + 16 in² = 96 in²

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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First spot: 9 choices (0-9)

Second spot: 9 choices (0-9)

Third spot: 9 choices (0-9)

.

.

.

Ninth spot: 9 choices (0-9)

There are 9 choices for each digit, meaning we need to compute 9^9 to figure out how many possible social security numbers there are.

Explination:

9^9 = 387420489 possible social security numbers

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

C

Step-by-step explanation:

Answer: c

Step-by-step explanation: 4/1 x 1/3 = 4/3

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)   6.14125(0.15) = 0.9211875   (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

um I guess Thank you?

n Happy early valentines Day! to u and ur family and others* p.s Mark me branily and a blessing will come ur way

Step-by-step explanation:

The required solution for the profits in the year 2020 is $10452958.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

In 1990, the profit of the Gamma company was $11,218,614.

profits fell by $12,189 on average.

According to given question we have

Initial profit P(x)= $11900848

Fall rate= $48263 per year

The year in between  1990<x<2020

The Equation is

P(x)= 11900848 - (x-1990)*48263,

P(2020)= 11900848- 30*48263

= $10452958

Therefore, the required solution for the profits in the year 2020 is $10452958.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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The equatiοn οf the circle is (x + 6)(x+6) + (y + 2)(y+2) = 9.

A circle is a twο-dimensiοnal geοmetric figure that cοnsists οf all pοints that are equidistant frοm a single fixed pοint called the center. A circle can alsο be defined as the lοcus οf a pοint that mοves in a plane in such a way that its distance frοm a fixed pοint is always cοnstant.

Tο find the equatiοn οf a circle, we need the cοοrdinates οf the center and the radius.

The center οf the circle is given as (-6, -2), sο the cοοrdinates οf the center are (h, k) = (-6, -2).

The pοint (-9, -2) is οn the circle, sο its distance frοm the centre is equal tο the radius. We can use the distance fοrmula tο find the radius:

\(\rm r = \sqrt{((x_2 - x_1)\times (x_2 - x1) + (y_2 - y_1)\times(y_2 - y_1))}\)

\(= \sqrt{((-3)^2 + 0^2)\)

= 3

Therefοre, the radius οf the circle is 3.

Nοw we can use the standard fοrm οf the equatiοn οf a circle, which is:

(x - h)(x-h)+ (y - k)(y-k)= r*r

Substituting the values we fοund, we get:

Simplifying:

(x + 6)(x+6) + (y + 2)(y+2) = 9

Therefοre, The equatiοn οf the circle is \((x + 6)(x+6) + (y + 2)(y+2) = 9\).

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Answer:

Dilate circle A by a scale factor of 4.

Step-by-step explanation:

To show that two circles are similar, use transformations to map one to the other.

Step 1

Translate circle A so that its center is the same as circle B.

Translate circle A using the rule (x - 4, y - 3)

Step 2

Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.

⇒ scale factor = 16 ÷ 4 = 4

Dilate circle A by a scale factor of 4.

Therefore, the only answer option that is correct is:

Dilate circle A by a scale factor of 4.

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

A lot of 1000 components contains 300 that are defective. Two components are drawn at random and tested.

a) P(A) is 0.3

b) P(B|A) is 299/999

c) P(A ∩ B) is 0.089

d) P(A' ∩ B) is 0.211

e) P(B) is 0.3

f) P(A|B) is 0.297

g) A and B are not independent, therefore, it is not reasonable to treat A and B as though they were independent

a) P(A) is the probability that the first component drawn is defective. Since there are 300 defective components out of 1000, the probability that the first component drawn is defective is:

P(A) = 300/1000 = 0.3

b) P(B|A) is the conditional probability that the second component drawn is defective given that the first component drawn is defective. Since there are now 299 defective components left out of 999, the probability that the second component drawn is defective given that the first component drawn is defective is:

P(B|A) = 299/999

c) P(A ∩ B) is the probability that both the first and second components drawn are defective. Since there are 300 defective components out of 1000, the probability that the first component drawn is defective is 0.3. If the first component drawn is defective, then there are now 299 defective components left out of 999.

So the probability that the second component drawn is defective given that the first component drawn is defective is 299/999. Therefore, the probability that both components are defective is:

P(A ∩ B) = P(A) * P(B|A) = 0.3 * 299/999 = 0.089

d) P(A' ∩ B) is the probability that the first component drawn is not defective (i.e., it is good) and the second component drawn is defective. Since there are 700 good components out of 1000, the probability that the first component drawn is good is:

P(A') = 700/1000 = 0.7

If the first component drawn is good, then there are 299 defective components left out of 999. So the probability that the second component drawn is defective given that the first component drawn is good is:

P(B|A') = 299/999

Therefore, the probability that the first component drawn is good and the second component drawn is defective is:

P(A' ∩ B) = P(A') * P(B|A') = 0.7 * 299/999 = 0.211

e) P(B) is the probability that the second component drawn is defective. There are 300 defective components out of 1000, so the probability that the second component drawn is defective is:

P(B) = 300/1000 = 0.3

f) P(A|B) is the conditional probability that the first component drawn is defective given that the second component drawn is defective. Using Bayes' theorem, we have:

P(A|B) = P(A ∩ B) / P(B) = (0.3 * 299/999) / 0.3 = 0.089 / 0.3 = 0.297

g) A and B are not independent, because the probability of B depends on whether or not A has occurred. In other words, the probability of drawing a defective component for the second draw depends on whether or not the first draw yielded a defective component.

If A has occurred (i.e., the first component drawn is defective), then the probability of B is higher than if A had not occurred. Therefore, it is not reasonable to treat A and B as though they were independent.

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Complete question is:

A lot of 1000 components contains 300 that are defective. Twocomponents are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.

a) find P(A)

b) find P(B|A)

c) find P(A ∩ B)

d) find P(A' ∩ B)

e) find P(B)

f) find P(A|B)

g) Are A and B independent? It is reasonable to treat A and B as though they were independent? Explain

Answer:

After 10 months, the loan and value of the car will both be equal to $7,500.

Step-by-step explanation:

Value of the loan after x months:

\(y_l = 10000 - 250x\)

Value of the car after x months:

\(y_c = 8000 - 50x\)

Which statement describes when Melinda’s loan will be equal to the value of the car?

They are equal when:

\(y_l = y_c\)

So

\(10000 - 250x = 8000 - 50x\)

\(200x = 2000\)

\(x = \frac{2000}{200}\)

\(x = 10\)

Equal after 10 months:

Value of \(y(10) = 8000 - 50(10) = 7500\)

Thus, the correct option is:

After 10 months, the loan and value of the car will both be equal to $7,500.

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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