Beatrice has 0.28 in her pocket. What percentage of a dollar does Beatrice have

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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The points are plotted and labeled in the graph.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given:

A graph of the coordinate plane.

The points are (0, 2), (-3, 4), (4, -6), (6, -2), (5, 5), (-3, -5), (0, -4), (4, 0), (5, 0), and (3, -6).

The points are plotted and labeled in the graph.

The required graph is given in the image below.

Therefore, all the coordinates are plotted in the graph.

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The area that each color would occupy in the circular garden is: 251.32 sq. ft.

Area of a circle = πr², where the radius of the circle is represented as r.

Area of the circular garden = πr² = π(20²)

Area of the circular garden = 1,256.6 sq. ft.

Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.

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Answer:

I really dont know

Step-by-step explanation:

Answer:

Would like to know where the functions are. Please help

Cohen's d effect size is the difference between two means divided by a measure of variance. Cohen's d indicates the magnitude of the difference between the two groups in terms of standard deviation units. Here, the Cohen's d effect size that represents the difference between pets and no pets is to be found.

The formula for Cohen's d is given as Cohen's d = (M1 - M2) / SDpooledWhere,

M1 is the mean of Group 1,

M2 is the mean of Group 2, and

SDpooled is the pooled standard deviation.

The formula for the pooled standard deviation is: SDpooled = √((SS1 + SS2) / pooled)We are given:

For the pets group, mean = 5.2 and SS = 18.85For no pets group, the mean = 5.2 and SS = 13.89Total number of participants = 20.

The degrees of freedom for the pooled variance can be calculated using the formula:

Pooled = n1 + n2 - 2= 10 + 10 - 2= 18

The pooled variance can be calculated as follows: SDpooled = √((SS1 + SS2) / pooled)= √((18.85 + 13.89) / 18)= √(32.74 / 18)= 1.82Thus,

Cohen's d = (M1 - M2) / SDpooled= (5.2 - 5.2) / 1.82= 0

Therefore, the Cohen's d effect size that represents the difference between pets and no pets is 0. Answer: 0.

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When adding or subtracting numbers with significant figures, the result should be rounded to the least precise decimal place of the measurements involved.

When performing addition or subtraction operations with numbers that have different levels of precision, it is important to ensure that the result is reported with the appropriate number of significant figures.

The rule states that the result should be rounded to the least precise decimal place among the measurements involved in the calculation.

For example, consider the addition of 53.5 and 46.5. Both numbers have one decimal place, so the sum should also be reported with one decimal place.

Adding the numbers gives us 100, but when applying the rule, we round the result to 100.0 to reflect the precision of the original measurements.

Similarly, if we subtracted 46.5 from 53.5, the result would still have one decimal place: 7.0.

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The probability of event A (P(A)) is approximately 0.325.

To find the probability of event A (P(A)), we can use the formula for the probability of the intersection of two independent events:

P(A and B) = P(A) * P(B)

Given that P(B) = 0.4 and P(A and B) = 0.13, we can substitute these values into the formula:

0.13 = P(A) * 0.4

Now, we can solve for P(A) by isolating it:

P(A) = 0.13 / 0.4

Performing the division, we find:

P(A) ≈ 0.325

Therefore, the probability of event A (P(A)) is approximately 0.325.

It's important to note that in this scenario, events A and B are assumed to be independent. This means that the occurrence of event A does not affect the probability of event B, and vice versa.

What is probability means?

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

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Answer:

29 runs are needed to break the record.

Step-by-step explanation: He has 32 runs batted in.

Answer: 61 runs

Step-by-step explanation: Tell me if correct

The angle bisector theorem states that a triangle's opposite side is divided into two halves by an angle bisector that is proportional to the triangle's other two sides.

A point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects, therefore if mACD = 90°, point D is equidistant from points A and B.

Any point on the perpendicular bisector is simply equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.

The answer is that point  is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it makes up. Therefore, if a pillar is stationed at the middle of a bridge at an angle, all the points on the pillar will be equidistant from the end points of the bridge intersects.

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Step-by-step explanation:

The equation 11a +8s = 4752 represents the ticket sales at last night's football game for a adult tickets and s student tickets.

a. How much money was collected in total from all ticket sales? $4,752

________________________

b. What is the price of an adult ticket? $11 What is the price of a student ticket? $8

________________________

c. If the ticket booth sold only adult tickets, how many would they have sold?

if only adults:

11a = 4752

a = 432 tickets

________________________

d. If the ticket booth sold only student tickets, how many would they have sold?

if only students:

8a = 4752

a = 594 tickets

Answer:

yes you're right!

Step-by-step explanation:

-6 equals c because the quadratic formula is \(ax^2+bx+c=0\).

to apply the formula, we would end up with \(\frac{-(-2)±\sqrt(-2)^2-4*3(-6)}{2(3)}\) as our answer

once we simplify, we're left with \(x=\frac{2±2\sqrt{19}}{6}\)

we break the equations into two to separate the positive sign's answer from the negative sign's answer, so we'll have \(x=\frac{2+2\sqrt{19} }{6}\) and \(x=\frac{2-2\sqrt{19} }{6}\)

isolate the variable to get our solution, \(x=\frac{1±\sqrt{19} }{3}\)

Yes, this is an optimal solution for the given problem. There is no alternate optimal solution, as there is only one variable having non-zero value in the last row of the table and this is for the objective function (Z) and all other variables have zero values in the last row of the table.

The solution is feasible as all variables have non-negative values. Also, the solution is not degenerate since all the variables have non-zero values. The optimal product mix and optimal profit are:X1 = 250,

X2 = 625,

X3 = 0

Optimal profit = Rs. (30 × 250 + 40 × 625 + 20 × 0)

= Rs. 40,000

Variable X3 has zero values in the final row of the simplex table, which indicates that it is non-basic and does not contribute to the optimal profit. Therefore, the optimal product mix is:X1 = 250,

X2 = 625,

X3 = 0

The optimal profit is calculated as follows: Optimal profit = (30 × 250) + (40 × 625) + (20 × 0) = Rs. 40,000

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Answer:

183.7

Step-by-step explanation:

The explicit rule for the sequence is f(n) = 4 + 3(n - 1)

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

a1 = 4

a(n) = a(n - 1) + 3

In the above sequence, we can see that 3 is added to the previous term to get the new term

This means that

First term, a = 4

Common difference, d = 3

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 4 + 3(n - 1)

Hence, the explicit rule is f(n) = 4 + 3(n - 1)

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The value of the integral ∫\((1 + x^2)^{-1/2\) dx is t + C.

To find the value of the integral ∫\((1 + x^2)^{-1/2\) dx, we can use a trigonometric substitution. Let's go through the steps:

We notice that the integrand involves a square root of a quadratic expression. This suggests using a trigonometric substitution of the form x = tan(t).

To apply this substitution, we need to find dx in terms of dθ. Using the derivative of tan(t), we have dx = \(sec^2\)(t) dt.

Next, we substitute x and dx in the integral expression using the trigonometric substitution:

∫\((1 + x^2)^{-1/2\) dx = ∫\((1 + tan^2(t))^{-1/2\) \(sec^2\)(t) dt.

Now, we can simplify the expression inside the integral. Since 1 + \(tan^2\)(t) = \(sec^2\)(t), the integrand becomes:

∫\((sec^2(t))^{-1/2\)\(sec^2\)(t) dt.

Simplifying further, we have:

∫\(sec^{-1/2\)(t) \(sec^2\)(t) dt.

Using the identity \(sec^2\)(t) = 1 + \(tan^2\)(t), we can rewrite the integral as:

∫\(sec^{-1/2\)(t) (1 + \(tan^2\)(t)) dt.

Now, let's simplify \(sec^{-1/2\)(t) using the identity \(sec^2\)(t) - 1 = \(tan^2\)(t):

\(sec^2\)(t) = 1 + \(tan^2\)(t),

\(sec^{-1/2\)(t) = 1/√(\(sec^2\)(t)) = 1/√(1 + \(tan^2\)(t)).

With this simplification, we can rewrite the integral as:

∫(1/√(1 + \(tan^2\)(t))) (1 + t\(an^2\)(t)) dt.

Now, the terms (1 + \(tan^2\)(t)) cancel out, and we are left with:

∫dt.

The integral of dt is simply t + C, where C is the constant of integration.

Finally, we substitute back the original variable x in terms of t using the trigonometric substitution x = tan(t):

∫\((1 + x^2)^{-1/2\) dx = t + C.

Therefore, the value of the integral ∫\((1 + x^2)^{-1/2\) dx is t + C, where x = tan(t) and C is the constant of integration.

However, it's important to note that this result is in terms of the angle t and not in terms of x. If you need to express the result in terms of x, you can use the inverse trigonometric function arctan(x) to relate t to x.

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Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.

The required value of y is 108° for the given diagram. The correct answer would be option (A).

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

In the diagram below, AB is parallel to CD.

Here we can see that the angles y° and 72° are supplementary angles.

So y + 72 = 180°

⇒ y = 180 - 72

Apply the subtraction operation, and we get

⇒ y = 108

Thus, the required value of y is 108°.

Hence, the correct answer would be an option (A).

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If a regression line is parallel to the horizontal axis of a scattergram, it means that there is no relationship between the two variables being plotted. In this case, the slope (b) of the regression line would be zero.

When we perform a linear regression analysis, we are trying to find the best-fitting line that represents the relationship between the independent variable (x) and the dependent variable (y). The slope (b) of this line represents the rate of change between the two variables. If the regression line is parallel to the horizontal axis, it suggests that there is no change in the dependent variable for any change in the independent variable.

The general equation for a linear regression line is:

y = a + bx

Here, "a" represents the y-intercept (the value of y when x is zero) and "b" represents the slope. When the regression line is parallel to the horizontal axis, it means that the line is perfectly horizontal, and the dependent variable (y) does not change as the independent variable (x) changes.

Mathematically, this can be represented as:

y = a + 0x

y = a

In this equation, the slope (b) is zero because there is no change in the dependent variable (y) for any change in the independent variable (x). The value of y remains constant, resulting in a horizontal line parallel to the x-axis.

To further explain, when the slope (b) is zero, it indicates that there is no linear relationship between the two variables. In a scattergram, the points are spread out randomly and do not follow any specific trend or pattern. Each value of x corresponds to a single value of y, and these values do not exhibit any systematic change as x increases or decreases.

Visually, a regression line that is parallel to the horizontal axis will appear as a flat line, with all points lying on the same y-value. This indicates that the dependent variable does not depend on the independent variable and remains constant across all values of x.

In conclusion, when a regression line is parallel to the horizontal axis in a scattergram, the slope (b) of the line is zero. This indicates that there is no linear relationship between the variables being analyzed, and the dependent variable does not change as the independent variable varies. The absence of a slope suggests that the two variables are not related in a linear fashion, and the scattergram does not exhibit any pattern or trend.

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Given:

In the circle, \(m(\overarc{VUX})=152^\circ\) and \(m(\angle MUV)=77^\circ\).

To find:

The following measures:

(a) \(m\angle VUX\)

(b) \(m\angle UXW\)

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

\(m(VUX)=2\times m\angle VWX\)

\(152^\circ=2\times m\angle VWX\)

\(\dfrac{152^\circ}{2}=m\angle VWX\)

\(76^\circ=m\angle VWX\)

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

\(m\angle VUX+m\angle VWX=180^\circ\)          [Opposite angles of a cyclic quadrilateral]

\(m\angle VUX+76^\circ=180^\circ\)

\(m\angle VUX=180^\circ-76^\circ\)

\(m\angle VUX=104^\circ\)

Now,

\(m\angle UXW+m\angle UVW=180^\circ\)          [Opposite angles of a cyclic quadrilateral]

\(m\angle UXW+77^\circ =180^\circ\)

\(m\angle UXW=180^\circ-77^\circ\)

\(m\angle UXW=103^\circ\)

Therefore, \(m\angle VUX=104^\circ\)  and \(m\angle UXW=103^\circ\) .

Answer:

5 ÷ 8 = 0.625

24 ÷ 0.625 = 38.4

i would say 38.4 minutes.

Step-by-step explanation:

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

\(\diamond\large\textsf{\textbf{\underline{Question:-}}}\)

          ✥ 19 more than the number c is 4.

\(\diamond\) \(\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)

◆ First, the word "more" indicates that we add.

Here we have 19 more than c, so we add c plus 19, which looks as follows:-

 ✳︎ \(\sf{19+c}\)

This expression is equal to 4:-

✳︎\(\sf{19+c=4}\)

If you also need to find c, subtract 19 on both sides:-

So we conclude that the value of c is -15.

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

Answer:

19 + c = 4

Step-by-step explanation:

Given:

We know that:

Therefore, we can make the following replacements:

When we replace the bolded text in the statement, we get;

⇒ 19 more than the number c is 4

⇒ 19 more than the number c is 4                       ["19" ⇒ "19"]

⇒ 19 + than the number c is 4                            ["more" ⇒ "+"]

⇒ 19 + c is 4                                             ["than the number c" ⇒ "c"]

⇒ 19 + c = 4                                                            ["is" ⇒ "="]

⇒ 19 + c = 4                                                            ["4" ⇒ "4"]

Thus, the expression/equation that represents the statement is \(\small\text{19 + c = 4.}\)

A random number generated from this density using the given us value of 0.127 is approximately 1.068.

To generate a random number from this density using the given us value, we first need to calculate the cumulative distribution function (CDF):

F(x) = ∫(0 to x) f(t) dt
    = ∫(0 to x) (2/9)t dt
    = (1/9) x^2

Next, we set the CDF equal to the given us value and solve for x:

us = F(x) = (1/9) x^2
0.127 = (1/9) x^2
x^2 = 1.139
x = sqrt(1.139) ≈ 1.068

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Answer:

When cooper was 15 years old, he scored an 85 on an iq test. he took the test again when he was 35 years old and scored an 85 again. this indicates that the iq test is highly: __________

Reliable

Because his scores were so close together the test would be considered as Reliable.

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We need to prove that if p² divides ab, then p² divides a or p² divides b. Since a and b are relatively prime, p cannot divide both a and b. If p² divides ab, then it must have p in it twice.

Let p be a prime and let a and b be relatively prime integers. Now, we need to prove that if p² | ab, then p² | a or p² | b.Let's assume that p² does not divide a. Then, we can write a = p x c + r, where r is a positive integer less than p. Since a and b are relatively prime, p does not divide b. Thus, we can write pb = pxd + s, where s is a positive integer less than p. Therefore, ab = (pxc + r) (pxd + s) = p²xcd + pxr + pys + rs. Now, p² divides ab, thus, p² divides p²xcd, pxr and pys but p² does not divide rs. Thus, p² divides pxc or p² divides pxd. Hence, either p² divides a or p² divides b. Thus, we have shown that if p² | ab, then p² | a or p² | b.

It can be said that if p² divides the product of two relatively prime integers, then p² must divide either of the integers. Hence, we can prove the contrapositive of the statement: if p² does not divide a and p² does not divide b, then p² does not divide ab.

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Answer:

y =  x + 3

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 =  x + 7 ← is in slope- intercept form

with slope m =

Parallel lines have equal slopes

line M crosses the y- axis at (0, 3) ⇒ c = 3

y =  x + 3 ← equation of line M

FOUND THIS ON THIS APP SO IM NOT 100% SURE THIS IS THE RIGHT ANSWER

The graph of the function is added as an attachment

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

f(x) = x² + 2     if -5 ≤ x < 3

     = x - 4       if 3 ≤ x < 7

The above function shows that there are two functions and two different domains for each function

Next, we plot the graph of each function in its domain

See attachment for the graph of the function

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Answer:

3x-6

Step-by-step explanation:

3x-6 if the cost of the old racquet was x.

Answer:

Khan academy allows a great amount of resources.

Step-by-step explanation:

1.  Khan Academy allows students to have access for free, and allows  practice exercises, instructional videos, and a personalized learning dashboard to help students engage.

2. You are able to find resources and questions by going to the Khan Academy help center for info that you need.

3.  Khan Academy has a variety of quizzes, tests, video tutorials, and personalized practice recommendations on different subjects. There are a variety of SAT study tools that the students are able to utilize throughout the course.

In conclusion, these are the main reasons that explain Khan Academy's resources.

I hope this helps! :)