Which of the following choices can be used to check the answer in this equation?

205 – 110 = 95

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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Answer: D

Step-by-step explanation:

The solution to both A and C would total to about 0. Also, in B both numbers are positives, so that would also be out of the case. If you are looking for the least value, the answer would be D since -3/4 -3/4 would equal -1.5, (or -1 1/2). Therefore, your answer would be D.

Hope that helps :D

Answer:

D. -3/4 - 3/4

Step-by-step explanation:

A. 3/4 -3/4 = 0

B. 3/4 + 3/4 = 1 1/2

C. -3/4 + 3/4 = 0

D. -3/4 - 3/4 = -1 1/2

Answer:

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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The explicit formula for an arithmetic sequence is:

an = a1 + (n-1)d

The explicit formula for a geometric sequence is:

an = a1 * \(r^{(n-1)}\)

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To write the explicit formula for both an arithmetic and geometric sequence, the following values must be known:

For an Arithmetic Sequence:

The first term (a1) of the sequence.

The common difference (d) between consecutive terms in the sequence.

The explicit formula for an arithmetic sequence is:

an = a1 + (n-1)d

Where:

an is the nth term of the sequence.

a1 is the first term of the sequence.

d is the common difference between consecutive terms.

n is the position of the term in the sequence.

For a Geometric Sequence:

The first term (a1) of the sequence.

The common ratio (r) between consecutive terms in the sequence.

The explicit formula for a geometric sequence is:

an = a1 * r^(n-1)

Where:

an is the nth term of the sequence.

a1 is the first term of the sequence.

r is the common ratio between consecutive terms.

n is the position of the term in the sequence.

Therefore, The explicit formula for an arithmetic sequence is:

an = a1 + (n-1)d

The explicit formula for a geometric sequence is:

an = a1 * \(r^{(n-1)}\)

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For the point (x, y), calculate the distance from the center using the distance formula:
Distance = sqrt((x - 5)^2 + (y + 3)^2)

The given equation represents a circle with center (5, -3) and radius 5. To determine if a point is inside, outside, or on the circle, we can compare the distance from the point to the center with the radius.


Next, compare the distance to the radius (5) to determine the point's location:

1. If Distance < 5, the point is in the interior of the circle.
2. If Distance = 5, the point is on the circle.
3. If Distance > 5, the point is in the exterior of the circle.

Using these criteria, you can classify any given point as interior, exterior, or on the circle.

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Answer: 165.

Step-by-step explanation: You can multiply 11 by 15 to get 165. If that is too difficult, you can multiply 11 by 5 and 11 by 10 and add them. 11*5 is 55 and 11*10 is 110. 110 + 55 = 165.

There are no critical numbers of g(x) since g'(x) does not exist anywhere and g(x) is not differentiable

To find the critical numbers of the function g(x), we need to find the values of x where g'(x) = 0 or g'(x) does not exist.

First, we find g'(x) by using the power rule and the chain rule:

g'(x) = (1/5)x^-4/5 - (-4/5)x^-9/5

g'(x) = (1/5)x^-4/5 + (4/5)x^-9/5

To find where g'(x) = 0, we set the derivative equal to 0 and solve for x:

(1/5)x^-4/5 + (4/5)x^-9/5 = 0

Multiplying both sides by 5x^9/5, we get:

x^5 + 4 = 0

This equation has no real solutions, since x^5 is always non-negative and 4 is positive.

Therefore, there are no critical numbers of g(x) since g'(x) does not exist anywhere and g(x) is not differentiable.

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Answer: 105ft

Step-by-step explanation: If 1cm is 3.5ft then you should multiply 3.5ft by 30 cm to get 105ft.

The time to burn 4 inches is 8.8 hours

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

A 5-inch candle burns down in 11 hours.

This can be expressed as

Time : Length = 11 hours : 5 inches

For 4 inches, we have

Time : 4 inches = 11 hours : 5 inches

Express as fraction

Time = 4 * 11/5

Evaluate

Time = 8.8

Hence, the time is 8.8 hours

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Answer:

i believe its $48.75

Step-by-step explanation:

I didn't know if each pair of jean was 30.50 each. I just did 30.50 + 20.75 to get 51. 25. Then i subtracted that from 100, 100- 51.25, to get 48.75

Asymptotic distribution of x(n-x)/n(n-1) is 0.

Let's discuss it further below.

To find the asymptotic distribution of x(n-x)/n(n-1), we will follow these steps:

1. Rewrite the expression as a ratio of two variables: X = x/n and Y = (n-x)/n.
2. Rewrite the expression in terms of X and Y: Z = X * Y / ((X + Y) * (X + Y - 1)).
3. Find the limit of Z as n approaches infinity, which represents the asymptotic distribution.

Let's proceed with these steps:

1. Rewrite the expression as a ratio of two variables:
  X = x/n and Y = (n-x)/n

2. Rewrite the expression in terms of X and Y:
  Z = X * Y / ((X + Y) * (X + Y - 1))

3. Find the limit of Z as n approaches infinity:
  Since X = x/n and Y = (n-x)/n, as n approaches infinity, both X and Y will approach 0. Therefore, the limit of Z as n approaches infinity is 0.

In conclusion, the asymptotic distribution of x(n-x)/n(n-1) is 0.

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Answer:

74⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

The number of green fish are in the aquarium is 6.

Given that,

The aquarium has 3 more yellow fish than green fish.

60 percent of the fish are yellow.

Let us assume the green fishes be x and the yellow fishes are y.

Total no of fished = x + y.

And, y = x + 3

Based on the above information, the calculation is as follows:

Now, put y = x + 3

So,  

60%(y+x)=y

\(\frac{60}{100}(x+3+x)=x+3\)

60(2x+3)=100(x+3)

120x + 180 = 100x + 300

20x = 120

x = 6

Hence the number of green fishes are x=6  

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Answer:

8.12:5.8

Step-by-step explanation:

you use adam

add=7+5=12

divied=14 divided by 12=1.16

multiply

7x1.16=8.12

5x1.16=5.8

Answer:84

Step-by-step explanation: first find the difference between 7 and 5 which is 2 this means that 14 = 2 .     ? = 7 .   ? = 5    . to find the ? = 7 you divide 14 by 2 which is 7. this means that 7 = 1 .  multiply 7 by 7 to get 49 .

49 = 7 . do the same thing with ? = 5 ,  7 multiplied by 5 = 35 .    35 = 5 .

7:5 = 49:35 . to get How many raisins they shared just get the sum of 49+35 which is 84

The statement is not true for spherical geometry. Because the sum of the angles in a triangle in spherical geometry is not equal to 180 degrees.

"Information available from the question"

In the question:

In Euclidean geometry the sum of the angles in a triangle equals 180 degrees.

We have to identify that this is true for spherical geometry also;

Now, According to the question:

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.

The sum of the angles of a spherical triangle is not equal to 180°. A sphere is a curved surface, but locally the laws of the flat (planar) Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees.

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Answer:

60

Step-by-step explanation:

Make 4.20 to 420

Make 0.07 to 7

We do this so they can be whole numbers not decimals. (also because it is easier)

420÷7=60

60

I hope this helped! :)

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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Step-by-step explanation:

We can use the expression (22 x 40) + (22 x 6).

The scale factor of the dilation shown in the diagram 2.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

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Answer:1/2

Step-by-step explanation:

got it right on edge

The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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The solution to the given differential equation is:

\(\[ y(t) = -\frac{1}{2} + \frac{5}{4}e^{2t} + \frac{1}{4}(t+2) \]\).

1. Taking the Laplace transform of the given differential equation, we have:

\(\[ s^2 Y(s) - sy(0) - y'(0) - (sY(s) - y(0)) - 2Y(s) = \frac{1}{s^2} \]\)

Substituting the initial conditions (y(0) = 2) and (y'(0) = 0), we simplify the equation to:

\(\[ s^2 Y(s) - 2s - sY(s) - 2Y(s) = \frac{1}{s^2} \]\)

2. Rearranging the terms and solving for (Y(s)), we get:

\(\[ Y(s) = \frac{2s + 1}{(s^2 - s - 2)(s^2)} \]\)

3. Decompose the right side into partial fractions:

\(\[ Y(s) = \frac{A}{s} + \frac{B}{s-2} + \frac{Cs+D}{s^2} \]\)

Multiply through by the common denominator to get:

\(\[ 2s + 1 = A(s-2) + B(s^2) + (Cs+D)(s-2) \]\)

Expanding and comparing coefficients, we find:

\(\[ A = -\frac{1}{2}, \quad B = \frac{5}{4}, \quad C = \frac{1}{4}, \quad D = \frac{1}{2} \]\)

So, the partial fraction decomposition of (Y(s)) is:

\(\[ Y(s) = -\frac{1}{2s} + \frac{5}{4(s-2)} + \frac{s+2}{4s^2} \]\)

4. Take the inverse Laplace transform of (Y(s)) using Laplace transform table or formula. After simplifying the fractions, we obtain the solution in the time domain:

\(\[ y(t) = -\frac{1}{2} + \frac{5}{4}e^{2t} + \frac{1}{4}(t+2) \]\)

Therefore, the solution to the given differential equation is:

\(\[ y(t) = -\frac{1}{2} + \frac{5}{4}e^{2t} + \frac{1}{4}(t+2) \]\).

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Do you have a picture of your question?

To solve this problem, I'll use proportions.

Result z = 45.56

It's correct

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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Answer:

12

Step-by-step explanation:

138÷12=11R6

11 + 1 =12

Therefore, the two unit vectors in which the directional derivative of f at (6,2) is equal to zero are:

v_1 = <-9/10, √(100/81)> ≈ <-0.707, 0.707>

v_2 = <-9/10, -√(100/81)> ≈ <-0.707, -0.707>

The directional derivative of a function f(x,y) at point (a,b) in the direction of a unit vector v = <u, v> is given by the dot product of the gradient of f at (a,b) and v:

D_v(f) = ∇f(a,b) · v

where ∇f(a,b) is the gradient of f at (a,b).

To find the unit vectors in which the directional derivative of f at (a,b) is equal to zero, we need to find the gradient of f at (a,b) and then solve for v such that D_v(f) = 0.

First, we find the gradient of f(x,y):

∇f(x,y) = <∂f/∂x, ∂f/∂y>

= <3x^2y-2xy^2, x^3-2xy>

Now, we evaluate the gradient at (a,b) = (6,2):

∇f(6,2) = <3(6)^2(2)-2(6)(2)^2, (6)^3-2(6)(2)>

= <204, 180>

Next, we solve for v such that D_v(f) = 0:

D_v(f) = ∇f(6,2) · <u, v>

= 204u + 180v

Setting D_v(f) = 0, we get:

204u + 180v = 0

u = -9/10 v

Since v is a unit vector, we have:

1 = ||<u, v>||^2

= u^2 + v^2

= (-9/10)^2v^2 + v^2

= (81/100)v^2

Solving for v, we get:

v = ± √(100/81)

v_1 = <-9/10, √(100/81)> ≈ <-0.707, 0.707>

v_2 = <-9/10, -√(100/81)> ≈ <-0.707, -0.707>

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Answer:

48,667 if you round it..

Step-by-step explanation:

1000x2920 = 2,920,000

divided by 2 months

2,920,000/2 = 1,460,000

and theres 30-31 days in a month

1,460,000/30 = 48,666.67

answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

The value of Matina's account in four years, considering the $2,000 deposits at the beginning of each year and a 5% annual interest rate, would be approximately $8,620.25.

To calculate the value of Matina's account in four years, we can use the formula for the future value of an ordinary annuity.

The formula is:

\(FV = P \times [(1 + r)^n - 1] / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods.

P = $2,000 (deposit amount)

r = 5% = 0.05 (annual interest rate)

n = 4 (number of years)

Plugging in the values into the formula:

\(FV = $2,000 \times[(1 + 0.05)^4 - 1] / 0.05.\)

Simplifying the expression:

\(FV = $2,000 \times [1.05^4 - 1] / 0.05\)

Calculating the exponential term:

\(1.05^4\approx 1.21550625\)

Plugging in the calculated value:

\(FV = $2,000 \times (1.21550625 - 1) / 0.05\)

\(FV ≈ $2,000 \times 0.21550625 / 0.05\)

FV ≈ $8,620.25

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