Martina got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was cents per yard. If after that purchase there was $25.50 left on the card, how many yards of ribbon did Martina buy?

Answer:

Take the square root of a number that is not a perfect square. None of the numbers are perfect squares. After you do that you can do any closed operation you want with the resulting irrational and the two other rationals and you will end up with an irrational.

8*24*√5 is an example.

8+24+√5 is another

5*√8 + 24 is another.

If you take the cube root of any number that isn't a perfect cube you get an irrational, so you could take the cube root of 5 or 24 instead of the square root and do the same thing.

She travel  31.25 miles we calculate it by multiply by speed and time

Speed indicates how quickly something or someone is moving. If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example because the distance is measured in metres (m) and the time is measured in seconds (s).The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

As given in Question she cycled at speed 12 1/2 miles per hours

12 1/2  can be written as 12.5 miles per hours

and she cycled for 2 1/2 hours which can be written as 2.5 hours

and to find the distance how much she total travel we have to multiply the speed and time

distance = 12.5x2.5 = 31.25 miles

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Answer: 3

Step-by-step explanation:

I think…

Answer:

b,c,e

Step-by-step explanation:

To divide a continuous distribution such as a normal distribution into a rejection region and a non-rejection region, we need to first specify the level of significance or alpha (α) of the hypothesis test.

The rejection region is the area in the tails of the distribution where the test statistic falls that is unlikely to occur by chance if the null hypothesis is true. This area is determined by the alpha level and the direction of the alternative hypothesis (one-tailed or two-tailed).

The non-rejection region is the area in the middle of the distribution where the test statistic falls that is likely to occur by chance if the null hypothesis is true. This area is determined by subtracting the area of the rejection region from 1.

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1)  XY' + Z + X'Z' + YZ'

2) equation 2 is correct.

3) equation 3 is incorrect .

1)

Simplifying algebraically,

XY' +Z+ (X' + Y)Z'

So,

XY' + Z + X'Z' + YZ'

2)

D(A + B)(A + B')C

Simplifying,

(AD + DB) (A + B')C

Further,

ADC + AB'CD + ABCD + BB'CD

ACD + ABCD + AB'CD

= ACD

Thus equation 2 is correct .

Hence proved .

3)

(a + b)(b + c)(c + a) = f1

Simplifying further,

abc + ab + bc + ac = f1

Let f2 = (a'+ b')(b' + c')(c' + a')

Simplify further,

f2 = a'b'c' + a'b' + b'c' + a'c'

Here,

f1 ≠ f2

Thus we disprove equation 3 .

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Explanation

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term,it is give by the expression:

so

Step 1

use the given data to find the arithmetic sequence

so

let

so

a) find the common difference

hence the common difference is 3

now, chec the first term and replace in the formula

Step 2

now, use the expression to find teh netx two terms

a)

b) fifth term

so, the answer is

I hope this helps you

Answer:

any options that were given to you?

Answer:

its D

Step-by-step explanation:

D on edge 2020

Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

Answer:

x = 3/2; x = -1/2

Step-by-step explanation:

6x² - x - 2 = 0

⇔ 6x² - 4x + 3x - 2 = 0

⇔ (6x² - 4x) + (3x - 2) = 0

⇔ 2x(3x - 2) + (3x - 2) = 0

⇔ (3x - 2)(2x + 1) = 0

⇔\(\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.\)

⇔\(\left \{ {{3x=2} \atop {2x=-1}} \right.\)

⇔\(\left \{ {{x=2/3} \atop {x=-1/2}} \right.\)

The degrees of freedom associated with within treatments are 12 within the variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96.

The ANOVA table divides the overall variance into variation between treatments and variation within treatments. Each source of variation's degrees of freedom (DF) is also provided.

According to the information provided, there are three treatments and a total of 15 observations. As a result, the total degrees of freedom is:

\(DF_{total}\) = n - 1

where n is the number of observations

\(DF_{total}\)= 15 - 1 = 14

The degrees of freedom between treatments are equal to the number of treatments minus one:

\(DF_{between}\) = k - 1

where k is the number of groups being compared

\(DF_{between}\)= 3 - 1 = 2

The number of treatments minus one equals the degrees of freedom between treatments, that is 2

We may use the following formula to calculate the degrees of freedom within treatments:

\(DF_{within}\) = \(DF_{total} - DF_{between}\)

Substituting the values we have:

\(DF_{within}\) = 14 - 2 = 12

\(DF_{within}\) = 12

As a result, the answer is 12. The degrees of freedom associated with within treatments are 12.

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The value of x would be 7 or 3 depending on the given values or coefficients.

The equation you provided is in the form (x+?)=?. To solve this equation, we need to isolate the variable x.
Step 1: First, we want to get rid of any constant term on the right side of the equation. If there is a constant term, subtract it from both sides of the equation.
Example: Let's say the equation is (x+5)=12. To get rid of the constant term 5, we subtract 5 from both sides:
(x+5)-5=12-5
This simplifies to:
x = 7
Step 2: Once the constant term is eliminated, we want to isolate the variable x. If there is a coefficient (number) in front of x, divide both sides of the equation by that coefficient to solve for x.
Example: Let's say the equation is (2x+3)=9. We want to get rid of the coefficient 2 in front of x. To do this, we divide both sides of the equation by 2:
(2x+3)/2 = 9/2
This simplifies to:
x + 3/2 = 9/2
Step 3: Finally, to isolate x completely, subtract any constant term on the left side of the equation.
Example: Using the equation from Step 2, we subtract 3/2 from both sides of the equation:
x + 3/2 - 3/2 = 9/2 - 3/2
This simplifies to:
x = 6/2
And further simplifies to:
x = 3
So, in the equation (x+?)=?, the value of x would be 7 or 3 depending on the given values or coefficients.

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There are a total of 12870 paths that stay outside or on the boundary of the square.

To go from (-4, -4) to (4, 4) with each step increasing either the x-coordinate or the y-coordinate by 1, you can only move diagonally upwards or diagonally to the right. This means that you can only move in one of two directions at each step.

In order to stay outside or on the boundary of the square -2 < x < 2, -2 < y < 2 at each step, you need to make sure that you don't move too far in either direction. Since there are 16 steps in total, you need to choose 8 steps to move in the x-direction and the remaining 8 steps to move in the y-direction.

The number of ways to choose 8 steps out of 16 to move in the x-direction is given by the binomial coefficient "16 choose 8" which can be calculated as C(16, 8) = 12870. Similarly, the number of ways to choose 8 steps out of 16 to move in the y-direction is also 12870.

Therefore, there are a total of 12870 paths that stay outside or on the boundary of the square -2 < x < 2, -2 < y < 2 at each step.

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Answer:

y = 4x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 7 ← is in slope- intercept form

with slope m = 4

Equation of straight line with same gradient is

y = 4x + c

the line passes through the y- axis at (0, 15 ) ⇒ c = 15

y = 4x + 15 ← equation of line

Answer:

y = 4x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 7 ← is in slope- intercept form

with slope m = 4

Equation of straight line with same gradient is

y = 4x + c

the line passes through the y- axis at (0, 15 ) ⇒ c = 15

y = 4x + 15 ← equation of line

Answer:

The product of 6 and Gail’s height is 66

Use g to represent Gail’s height

Step-by-step explanation:

Answer:

8. m∠1 = 64, m∠2 = 26, m∠3 = 36

9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131

10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38

11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62

Step-by-step explanation:

8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64

m∠2 = 90 - 64 = 26

m∠3 = 90 - 54 = 36

9. m∠3 = 180 - 73 = 107

m∠1 = 73

m∠2 = 180 - (73 + 49) = 180 - 122 = 58

m∠4 = 49

m∠5 = 180 - m∠4 = 180 - 49 = 131

10. m∠6 = 90 - 52 = 38

m∠3 = m∠6 = 38, m∠2 = 52

m∠5 = 180 - (86 + 38) = 180 - 124 = 56

m∠1 = 90 - 56 = 34

m∠4 = 180 - (34 + 52) = 180 - 86 = 94

11. m∠2 = 71

m∠3 = m∠5 = 180 - 71 = 109

m∠1 = 180 - (47 + 71) = 180 - 118 = 62

m∠4 = m∠2 - 36 = 71 - 36 = 35

m∠6 = m∠2 - 42 = 71 - 42 = 29

m∠7 = 47

m∠8 = m∠1 = 62

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer:

The amount of annual interest you receive.

$500*8% = $40

The amount of interest you will receive for 8 years.

$40 x 8 years = $320

So after 8 years you will have a total of principal and interest .

$500 + $320 = $820

Step-by-step explanation:

Answer:

X = 1 , 2

Y = -1 , 2

Z = -2 , -1

The set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

To determine if the set Z(2) contains the fraction 2/6, we need to understand what Z(2) represents.

The notation Z(2) typically refers to the set of integers modulo 2, also known as the integers modulo 2 ring. In this set, the elements are the remainders of integers when divided by 2, which are 0 and 1.

To check if 2/6 is in Z(2), we need to reduce 2/6 modulo 2. When we divide 2 by 6, the remainder is 2, which means 2/6 is congruent to 2 modulo 2.

In Z(2), the only possible values are 0 and 1, so 2 is not an element of Z(2). Therefore, 2/6 is not in Z(2).

In summary, since the set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

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Answer:

x=612

Step-by-step explanation:

In this type of equation, you can easily turn it into an easier form for finding x.

\(\frac{x}{900} =\frac{68}{100} \\\)

In my school, this was taught as the cross technique. The numerator of one element is multiplied by the denominator of the other element, making the equation easier to find an unknown.

for finding x:

100x=68·900=61200

x=\(\frac{61200}{100}\)

x=612

Answer:

85.5

Step-by-step explanation:

85 • 9 is 765

If you add 90 to 765 and then divide the sum by 10, you get 85.5.

Answer:

Step-by-step explanation:

The gray shadowed area is below descending function and the line is dashed.

It means coefficient x is m<0 and the sign of inequality is y <  

So the inequality wich  fit it is  y < -1/2x + 2

The blue shadowed area is above ascending function and the line is uninterrupted.

It means coefficient x is m>0 and the sign of inequality is y ≥

So the second inequality of system (y ≥ 3x - 1)  also match.

The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

The standard equation of a line is expressed as y = mx + b;

For the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):

m = 5+1/2-0

m= 6/2

m = 3

The equation of the line is y = 3x - 1

Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1

For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):

m = 0-2/4-0

m= -2/4

m = -1/2

The equation of the line is y = -1/2x + 2

Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2

Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

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Answer:

∠ A = 98°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

its opposite angles sum to 180° , that is

∠ A + ∠ C = 180°

∠ A + 82° = 180° ( subtract 82° from both sides )

∠ A = 98°

Answer:

5605

Step-by-step explanation:

59*95

we can think 95 as 90+5

so we get :

59*(90+5)

5310+295

5605

Answer:

543.2 miles

Step-by-step explanation:

Input the given value of x into the equation and solve for y:

y = -67.9x + 679

y = -67.9(2) + 679

y = -135.8 + 679

y = 543.2

The total distance in miles after 2 hours is 543.2 miles.

The value of Mean ≈ 341.2

Median ≈ 319

Standard Deviation ≈ 307.8

To find the mean, median, and standard deviation of the number of members per component, we can use statistical software to analyze the data. Here are the results:

Mean:

The mean is the average value of the number of members per component. We calculate it by summing up all the values and dividing by the total number of components.

Mean = (114 + 261 + 319 + 183 + 654 + 313 + 58 + 98 + 335 + 324 + 52 + 125 + 342 + 66 + 321 + 893 + 690 + 798 + 201 + 74 + 632 + 216 + 76 + 155 + 161 + 304 + 530 + 1,110 + 93 + 631 + 75 + 344 + 264 + 1,120 + 122 + 45 + 304 + 192 + 316 + 63) / 39

Mean ≈ 341.2

Median:

The median is the middle value when the components are arranged in ascending order. If there is an even number of components, the median is the average of the two middle values.

Arranging the components in ascending order:

45, 52, 58, 63, 74, 75, 76, 93, 98, 114, 122, 125, 155, 161, 183, 192, 201, 216, 261, 264, 304, 304, 313, 316, 319, 321, 324, 335, 342, 344, 530, 631, 632, 654, 690, 798, 893, 1,110, 1,120

The median is the middle value:

Median ≈ 319

Standard Deviation:

The standard deviation measures the dispersion or spread of the values around the mean.

Using statistical software, we calculate the standard deviation for the given data:

Standard Deviation ≈ 307.8 (rounded to 1 decimal place)

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an angle bisector in a triangle divides the opposite side in the ratio of the two adjacent sides. This is known as the angle bisector theorem, and it can be proved using the law of sines.

he purpose of this exercise is to use the law of sines to prove that an angle bisector in a triangle divides the opposite side in the ratio of the two adjacent sides that is x/y = a/b.

To solve this, we can use the following

Steps:1. We begin by drawing a triangle ABC, where BC is the base. The angle bisector of angle BAC intersects BC at point D.2.

Using the law of sines, we can write:sin A/a = sin B/b = sin C/c3. Since AD is the angle bisector of angle BAC, we can use the angle bisector theorem to write:BD/DC = AB/AC4.

We can write BD = x and DC = y, so we have:x/y = AB/AC5. We can use the law of sines again to write:sin A/AB = sin C/AC6.

Multiplying both sides of equation 5 by AB/AC, we get:a/x = sin A/sin C7. Similarly, we can use the law of sines to write:b/BC = sin B/sin C8. Multiplying both sides of equation 7 by BC/b, we get:b/y = sin B/sinC

Let's consider the triangle ABC. So, the angle bisector of angle BAC intersects the side BC at point D.

Now, using the law of sines, we can express:sin A/a = sin B/b = sin C/cSo, let's say that BD = x and DC = y.

The angle bisector theorem states that:BD/DC = AB/ACNow, we can express this as:x/y = AB/ACWe have to prove that x/y = a/b. So, let's try to relate AB and AC to a and b.

Now, we can use the law of sines again. Here's how:a/x = sin A/sin Cb/y = sin B/sin CNow, since sin A = sin (180 - B - C), we can write:

a/x = sin (180 - B - C)/sin CWe can also use the fact that sin B = sin (180 - A - C),

So we can write:b/y = sin (180 - A - C)/sin C

Now, we need to prove that a/x = b/y. For this, we can use the following identities:

sin (180 - B - C) = sin (B + C)sin (180 - A - C) = sin (A + C)Now, we can write:a/x = sin (B + C)/sin Cb/y = sin (A + C)/sin C

We can also express sin (B + C) and sin (A + C) as follows:sin (B + C) = sin B cos C + cos B sin Csin (A + C) = sin A cos C + cos A sin C

Now, using the fact that sin A/a = sin B/b, we can write:cos A/a = cos B/bSo, we can substitute this in the expressions for sin (B + C) and sin (A + C).

This gives us:sin (B + C) = (sin B cos C + cos B sin C) b/asin (A + C) = (sin A cos C + cos A sin C) a/b

Now, we can substitute these in the expressions for a/x and b/y. This giveus:a/x = (sin B cos C + cos B sin C)/sin Cb/y = (sin A cos C + cos A sin C)/sin CNow, we need to prove that these two expressions are equal.

For this, we can use the identity:sin B cos C + cos B sin C = sin (B + C)We can also use the identity:sin A cos C + cos A sin C = sin (A + C)Now, we can write:a/x = sin (B + C)/sin Cb/y = sin (A + C)/sin C

Now, we can use the fact that B + C = A + C, since they are supplementary angles. This gives us:a/x = sin (A + C)/sin Cb/y = sin (A + C)/sin CSo, we have proved that a/x = b/y. Hence, x/y = a/b.

Therefore we can conclude that an angle bisector in a triangle divides the opposite side in the ratio of the two adjacent sides. This is known as the angle bisector theorem, and it can be proved using the law of sines.

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Answer: 3

Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3