jane had a collection of balloons she gave 1/4 of her collection to her sister. how many balloons does jane have now?​

If DA = 7.4 centimeters, then the radius of the circle EF is 3.7 inches.

A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length. The name is derived from the Latin radius, which means both ray and spoke of a chariot wheel.

The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually represented by the letters 'R' or 'r'. This number is significant in almost all circle-related formulas. A circle's area and circumference are also measured in terms of radius.

Here, DA is a diameter  and EF is the radius.

Radius of a circle = 1/2 diameter

Where, d = 7.4

Radius of a circle, r = 1/2 d

Radius of a circle = 1/2(7.4)

Radius of a circle = 3.7

Therefore, the radius of the circle is 3.7 inches.

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Answer:

$160

Step-by-step explanation:

Diane sold some stuffs at a garage sale.

Let the total value of the money Diane made = x

She spent one-half of the money she made on a new bicycle.

Amount spent on a Bicycle = 1/2 × x = 1/2x

Next,

Amount left

= x - 1/2x = 1/2x

She spent one-half of what was left on a portable stereo.

Amount spent spent on Portable stereo

= 1/2 × 1/2x

= 1/4x

If Diane had $40.00 left,

Hence:

The fraction of what was left is calculated as:

= x - (1/2x + 1/4x)

= x - (3/4x)

= 1/4x

Hence:

1/4x = $40

We can find the value of x now.

1/4 × x = $40

x/4 = $40

x = $40 × 4

x = $160

Therefore, the amount she made from the garage sale is $160

Answer:

Hey hey guys, it is 160.00

Step-by-step explanation:

Answer:

45 g

Step-by-step explanation:

30/200 simplified = 3/20

3/20 as a decimal = 0.15

0.15 g of barley for 1 ml of milk

300 · 0.15 = 45

45 g of barley for 300 ml of milk

hope this helps :)

The answer is 1.5(a -3)

Step-by-step explanation:

3⁴ can also be written as

3 × 3 × 3 × 3 = 81

hope this answer helps you dear!

Answer:

81

Step-by-step explanation:

3⁴

= 3 x 3 x 3 x 3

= 9 x 9

= 81

81 is the answer.

Answer:

6

Step-by-step explanation:

very easy.

this simply means what is the value of x, so that the result of the function is 7.

remember, the domain is the interval of valid values for x.

and the range is the interval of valid values of y (or functional results).

so,

7 = (3x - 4)/2

14 = 3x - 4

18 = 3x

x = 6

so, for x = 6 the function delivers 7 as result.

Answer:

15 hours

Step-by-step explanation:

We know

You can drive on 1/5 of a tank of gas in 3 hours.

How far can you drive on 1 tank of gas?

We Take

3 x 5 = 15 hours

So, you can drive 15 hours on 1 tank of gas.

Answer:

25

Step-by-step explanation:

(2+3)=5

5^2=25

I got 25 too-

(2+3)^2

First I added 2+3 which is 5

Then square that answer.. 5^2= 25

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 11

(hope this helps can I pls have brainlist (crown)☺️)

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

25.6 km/h

Step-by-step explanation:

Omani:

First, 1.5 hours = 1 hour and 30 minutes

and 66 miles = 105.6 km (66 x 1.6 = 105.6)

105.6 / 1.5 = 70.4 km/h

Omani's speed is 70.4 km/h

Adedi:

1 hour and 15 minutes is 1.25 hours

she drives 56 km in 1.25 hours

So 56 / 1.25 = 44.8 km/h

Adedi's speed is 44.8 km/h

Difference:

70.4 - 44.8 = 25.6 km/h

Omani is faster than Adedi with 25.6 km/h

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer:

angle 1+angle 2 = 180 degrees

Step-by-step explanation:

when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

edge 2022

Answer:

B. 210°

hope it helps

have a nice day

The company must sell either 247.74 (higher quantity) or 116.32 (lower quantity) items to break even. The corresponding price to do so is $43.18 (for 247.74 items) and $63.92 (for 116.32 items).

Let p = price and x = number of items sold

We know that when the price is $63.92, the company can sell 750 items. Thus we have the equation:

p = 63.92 and x = 750 items

We also know that when the price is $43.18, the company can sell 870 items. Thus we have the equation:

p = 43.18 and x = 870 items

From the two equations above, we can calculate the linear demand equation by using the slope-intercept form, y = mx + b, as follows:

p = (43.18 - 63.92)/(870 - 750)x + 63.92

p = -20.74/120x + 63.92

p = -0.172x + 63.92.

Therefore, the linear demand equation (price function) for selling x items is p(x) = -0.172x + 63.92 (b) To find the linear Cost and quadratic Revenue and Profit functions:

We know that it costs the business $10.94 per item to produce and they have $3,150 in overhead each month.

Thus, the linear cost function for producing x items is:

C(x) = 10.94x + 3150

The quadratic revenue function for selling x items is:

R(x) = -0.1722x² + 63.92x

The profit function for producing and selling x items is:

P(x) = -0.1722x² + 63.92x - 10.94x - 3150

P(x) = -0.1724x² + 53.98x - 3150 (c) To break even, the company must make zero profit, thus P(x) = 0. Solving for x, we have:

0 = -0.1724x² + 53.98x - 3150

0.1724x² - 53.98x + 3150 = 0

Using the quadratic formula:

x = (53.98 ± √[53.982 - (4)(0.1724)(3150)])/(2(0.1724))

x = 182.08 ± 65.66

Therefore, the company must sell either 247.74 (higher quantity) or 116.32 (lower quantity) items to break even. The corresponding price to do so is $43.18 (for 247.74 items) and $63.92 (for 116.32 items).

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a) Matrix A: Determinant = 4, nonsingular, inverse exists.

b) Matrix B: Determinant = 0, singular, inverse does not exist.

c) Matrix C: Determinant = 0, singular, inverse does not exist.

d) Matrix D: Determinant = -6, nonsingular, inverse exists.

To find the determinant of a matrix, we can use the formula for a 2x2 matrix:

For a matrix A = [a b; c d], the determinant det(A) is calculated as: det(A) = ad - bc.

Let's calculate the determinants for each matrix:

a) A = [2, 0; 0, 2]

det(A) = (2 * 2) - (0 * 0) = 4 - 0 = 4

b) B = [1, 4; 2, 8]

det(B) = (1 * 8) - (4 * 2) = 8 - 8 = 0

c) C = [6, -15; -2, 5]

det(C) = (6 * 5) - (-15 * -2) = 30 - 30 = 0

d) D = [0, 3; 2, 2]

det(D) = (0 * 2) - (3 * 2) = 0 - 6 = -6

Now, let's determine if each matrix is nonsingular and if its inverse exists:

A matrix is nonsingular if and only if its determinant is non-zero.

a) Matrix A: det(A) = 4 ≠ 0

Since the determinant is non-zero, matrix A is nonsingular and its inverse exists.

b) Matrix B: det(B) = 0

The determinant is zero, which means matrix B is singular, and its inverse does not exist.

c) Matrix C: det(C) = 0

The determinant is zero, which means matrix C is singular, and its inverse does not exist.

d) Matrix D: det(D) = -6 ≠ 0

Since the determinant is non-zero, matrix D is nonsingular and its inverse exists.

To summarize:

a) Matrix A: Determinant = 4, nonsingular, inverse exists.

b) Matrix B: Determinant = 0, singular, inverse does not exist.

c) Matrix C: Determinant = 0, singular, inverse does not exist.

d) Matrix D: Determinant = -6, nonsingular, inverse exists.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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X^2+10x+25 =8

Answer shown in figures below

The given Cartesian inequality, let's break it down into two separate cases:

Case 1: When z is a real number

In this case, we can rewrite the inequality as:

|z + 6| <= |z - 51|

This can be further simplified using the definition of absolute value:

(z + 6) <= (z - 51) OR -(z + 6) <= (z - 51)

Simplifying the two inequalities separately:

(z + 6) <= (z - 51)

z + 6 <= z - 51

6 <= -51 (contradiction)

This inequality has no solutions since 6 is not less than or equal to -51.

-(z + 6) <= (z - 51)

-z - 6 <= z - 51

-2z <= -45

2z >= 45

z >= 22.5

Therefore, for real numbers z, the solution is z >= 22.5.

Case 2: When z is a complex number

In this case, we can rewrite the inequality using the modulus properties:

|z + 6|^2 <= |z - 51|^2

Expanding both sides of the inequality:

(z + 6)(z + 6)^* <= (z - 51)(z - 51)^*

Where (z + 6)^* and (z - 51)^* denote the complex conjugates of (z + 6) and (z - 51), respectively.

Simplifying the inequality:

(z + 6)(z + 6)^* <= (z - 51)(z - 51)^*

Let's denote z = x + yi, where x and y are real numbers.

Expanding both sides:

(x + 6 + yi)(x + 6 - yi) <= (x - 51 + yi)(x - 51 - yi)

(x^2 + 12x + 36 + y^2) <= (x^2 - 102x + 2601 + y^2)

12x + 36 <= -102x + 2601

114x <= 2565

x <= 22.5

Therefore, for complex numbers z, the solution is x <= 22.5.

Combining the results from both cases, we have:

z >= 22.5 or x <= 22.5 (where z is a complex number and x is its real part)

Thus, the Cartesian inequality for the given region is:

z >= 22.5 or Re(z) <= 22.5

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Answer: 6x

Step-by-step explanation:

Factor each term and see what they have in common.

12x²:   2 · 2 · 3 · x · x

18x:     2 · 3 · 3 · x

The common factors are:      2 · 3 · x   = 6x

The solution to the equation is y = 1/6

Given data:

To find the value of y in the solution of the system of equations:

10x + 24y = 9 ...(1)

8x + 60y = 14 ...(2)

We can use the method of substitution or elimination to solve the system. Let's use the method of substitution:

From equation (1), isolate x:

10x = 9 - 24y

x = (9 - 24y)/10

Now substitute this value of x into equation (2):

8((9 - 24y)/10) + 60y = 14

Simplify and solve for y:

(72 - 192y)/10 + 60y = 14

72 - 192y + 600y = 140

408y = 68

y = 68/408

y = 1/6

Hence, the value of y in the solution of the system of equations is y = 1/6.

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To find the areas of the given regions, we need to set up integrals. The regions are described.

a) To find the area inside r, we need to set up the integral based on the given equation r1 = 2 sin(20). We can sketch the graph of r1 as a circle with radius 2 sin(20) centered at the origin. The integral for the area can be set up as ∫∫ \(r1^2\) dA, where dA represents the area element.

b) To find the area inside r2 but outside r1, we need to set up the integral based on the given equation r2 = 3. We can sketch the graph of r2 as a circle with radius 3 centered at the origin. The region between r1 and r2 can be visualized as the area between the two circles. The integral for the area can be set up as ∫∫ (\(r2^2\) - \(r1^2\)) dA.

c) To find the area inside both r1 and r2, we need to find the overlapping region between the two circles. This can be visualized as the region common to both circles. The integral for the area can be set up as ∫∫ \(r1^2\)dA, considering the area within the smaller circle.

These integrals can be evaluated to find the actual area values for each region.

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Answer:

88

Step-by-step explanation:

18/2=9

176/2=88

Hope this helps! :)

The number of frequent flyer program members in newspaper quintile V.

The information related to that specific quintile.
Unfortunately, you didn't provide the required data to calculate the number of frequent flyer program members in newspaper quintile V.

To understand what the given data represents.

Since the question is asking for the number of frequent flyer program members in newspaper quintile V.

The data is provided, I will guide you through a step-by-step process to find the answer and ensure that it is reported in the (000) format, as you requested.

Please provide the relevant data, and I'll be more than happy to help you calculate the answer.

Once the information is given, I will walk you through a step-by-step procedure to identify the solution and make sure it is presented in the (000) format, as you asked, when I have the data.

Comprehend what the provided data means.

Given that the number of frequent flyers programmed members in newspaper quintile V is the subject of the issue.

Information pertinent to that particular percentile.

Unfortunately, you didn't supply the information needed to determine how many people in newspaper quintile V are members of frequent flyer programmed.

The pertinent information, and I'll be pleased to assist you in coming up with the solution.

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Cone B could have a radius of 4 units and a height of 3 units

We know that the volume of Cone A is given by:

V(A) = \((\frac{1}{3})\pi r^2h\) = \((\frac{1}{3} )\pi (6^2)(4)\) = 48π

To find one possible set of dimensions for Cone B, we can use the fact that the volume of Cone B is also 48π. Let's choose a different radius and height for Cone B and see if it satisfies the volume requirement:

V(B) = \((\frac{1}{3})\pi r^2h\) = \((\frac{1}{3})\pi (r^2)(3h)\)

Since V(A) = V(B), we have:

\((1/3)\pi (6^2)(4)\) = \((1/3)\pi (r^2)(3h)\)

Simplifying this equation, we get:

\(r^2h\) = 48

We can choose any value of r and h that satisfy this equation. For example, let's choose r = 4 and h = 3:

\(r^2h\) = \(4^2(3)\) = 48

So, Cone B could have a radius of 4 units and a height of 3 units, and its volume would be 48π cubic units.

We know that Cone B has the same volume as Cone A because they both have a volume of 48π cubic units. This means that if we were to fill Cone A with water and pour it into Cone B, the water level in Cone B would rise to the same height as in Cone A. Therefore, both cones would have the same amount of water and hence the same volume.

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Answer:

Step-by-step explanation:

reeeeeeeeee

Answer:

11 miles ah day

Step-by-step explanation:

11.5 x 12

Answer:

138 divided by 12 =11.5

Step-by-step explanation:

or you can do 11.5 x 12 to check your answer

Answer:

=========================

The smaller figure is added, considering the coordinates of the image follow the rule:

Smaller stage is in blue. See attached

Since each side is half the original, the perimeter of the image is half the larger one:

When we express the equation 2x - y = 12 in slope intercept form, the result obtained is y = 2x - 12 (2nd option)

The slope intercept form for an equation is written as illustrated below:

y = mx + c

Where

With the above information, we can obtain the slope intercept form of the equation. Details below:

2x - y = 12

Rearrange to make y the subject of the expression, we have

2x = 12 + y

y = 2x - 12

Thus, we can conclude that the equation in the slope intercept form is

y = 2x - 12 (2nd option)

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Complete question:

Given the equation 2x - y = 12, which equation is written in slope intercept form?

y = -2x + 12

y = 2x - 12

y = 2x + 12

y = -2x - 12