This table represents Jennifer's check register. Her checking account had a balance of $2,322.75 on April 24.

Use the information in the check register to determine the balance of Jennifer's checking account after the transaction on May 5th.

Enter your answer in the box.



Jennifer's Check Register

Date Description Deposit Withdrawal Balance
4/24 $2,322.75
4/28 Rent $735.50
5/5 Cash deposit $200.00

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.

A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.

Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.

Therefore, the minimum number of triangular faces of a regular polyhedron is = 4

Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.

A polyhedron having equal quadrilateral faces is known as regular hexahedron.

quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula

F + V-E = 2

=> F + 6- 100= 2 => F = 96 maximum faces possible = 96

Now the difference between maximum and minimum number of faces = 100 - 4 = 96

So the difference between maximum and minimum faces is 96.

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Answer: x= -160

Big Brain

Jeri's reservation wage is $39.8 per week. Jack's optimal choice of hours of leisure is 66.42 hours per week.

For Jeri's reservation wage, we need to find the wage rate at which she would be indifferent between working and not working. Her marginal utility of leisure is given as MUL = 451L^0.1, and her marginal utility of consumption is UU = 4C^0.5. To find the reservation wage, we equate the marginal utility of leisure to the marginal utility of consumption and solve for the wage rate.

Similarly, for Jack's optimal choice of hours of leisure, we need to maximize his utility by choosing the right balance between leisure and work. His marginal utility of consumption is given as MU C = L - 49, and his marginal utility of leisure is MU L = C - 162. We can set up a utility maximization problem by equating the marginal utilities of leisure and consumption and solve for the optimal hours of leisure.

The total number of employed males in the civilian labor force in the U.S. in 2020 can be obtained from the Bureau of Labor Statistics (BLS) website. Without the specific data available, we cannot provide an accurate answer to the number of employed males in 2020. It is recommended to refer to the BLS website or their published reports for the most up-to-date and accurate information.

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The correct answer is  two lines intersect to form four right angles, the lines are perpendicular.

When two lines intersect, the angles formed at the intersection can have different measures. However, if the angles formed are all right angles, meaning they measure 90 degrees, it indicates that the lines are perpendicular to each other.

Perpendicular lines are a specific type of relationship between two lines. They intersect at a right angle, forming four 90-degree angles. This characteristic of perpendicular lines is what distinguishes them from other types of intersecting lines.

The concept of perpendicularity is fundamental in geometry and has various applications in different fields, such as architecture, engineering, and physics. Perpendicular lines provide a basis for understanding right angles and the geometric relationships between lines and planes.

In summary, when two lines intersect and form four right angles (each measuring 90 degrees), we can conclude that the lines are perpendicular to each other.

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Answer:

24 , 12x12 = 144. , 144/6 =24

Answer:

6 3/4

Step-by-step explanation:

multiply using keep change flip

Answer:

Fraction Form : 27/4

Decimal Form : 6.75

Step-by-step explanation:

Hope this helps!!! :))

Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.

Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.

One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.

The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.

Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.

In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.

Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.

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Answer:

Geometric sequence

common ratio

1/8 (or 0.125)

Step-by-step explanation:

To get to the next number we have the mulitply the one before by 1/8

Because we are multiplying each time it's a geometric sequence

Because it's a geometric sequence we have a common ratio

I wrote before that to get to the next number we have to multiply it by 1/8 so that's the common ratio

Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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Answer:

4200

Step-by-step explanation:

I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.

Answer:

Cone

Step-by-step explanation:

I took the test and got it right :)

The triangle is rotated about the y-axis then a cone will be formed.

It is given that the triangle is rotated about the y-axis as shown in the picture.

It is required to find what three-dimensional polyhedral would be formed.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have an image of a right triangle centered at the origin in the picture, if we rotate it about the y-axis we will get a cone because the side which is at the y-axis will be fixed and the base of the triangle will move about the y-axis which will make a circular shape similarly the other side(hypotenuse) will also rotate about the y-axis which will create an outer surface for the cone.

Thus, the triangle is rotated about the y-axis then a cone will be formed.

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The equation of the area is A = 36 + 6x  - 2x^2

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

Length = 6

Width = x feet shorter than length

Height = length plus twice x

From the problem statement, we know that:

Width = 6 - x feet

Height = 6 + 2x feet

So, the area of one of the sides of the box is:

A = (width) * (height)

A = (6 - x) * (6 + 2x)

Expanding the brackets, we get:

A = 36 + 12x - 6x  - 2x^2

A = 36 + 6x  - 2x^2

So the equation that models the area, A, of one of the sides of the box that has the width and height as its dimensions is: A = 36 + 6x  - 2x^2

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Yes, the person needs to stop for petrol. The car can travel distance 25 miles per litre, so it has 4 litres left in the tank. 90 miles divided by 25 miles per litre is 3.6, so the person needs approximately 4 litres of petrol in order to complete the journey.

1. Calculate how many litres the car can hold - 12 litres

2. Calculate how many miles the car can travel with one litre of petrol - 25 miles

3. Calculate how many litres of petrol left in the tank - 1/4 of 12 litres = 3 litres

4. Calculate how many miles the car can travel with 3 litres of petrol - 3 x 25 miles = 75 miles

5. Calculate how many miles the person is away from Islamabad - 90 miles distance

6. Calculate how many litres of petrol the person needs to complete the journey - 90 miles divided by 25 miles per litre = 3.6 litres

7. The person needs to stop for petrol – Yes

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Answer:

D

Step-by-step explanation:

9 7/15

................

Answer:

D. 9\(\frac{7}{15}\)

Step-by-step explanation:

2\(\frac{4}{5}\)+6\(\frac{2}{3}\)  becomes

2\(\frac{12}{15}\)+6\(\frac{10}{15}\)  then you add them together

8\(\frac{22}{15}\) then simplify to 9\(\frac{7}{15}\)

Answer:

D

Step-by-step explanation:

cause Mary needs to know how much fencing to get.

Answer:

16 negative tiles are split into 2 groups of 8 negative tiles.

Negative 16 divided by 3

Negative 16 divided by 2

Negative 8 divided by 8

Negative 8 divided by 2

Step-by-step explanation:

Answer:

D. rotation, then translation

Step-by-step explanation:

Congruence is a property that describe the similarity between two or more figure.

SSS means Side-Side-Side, which implies that two triangles are congruent if they have the same values of sides.

HL describe two congruent triangles that have the same value of hypotenuse and one side.

From the question, MQ ≅ PN and MN ≅ PQ.

m<QMN = m<QPN = \(90^{o}\)

Since ΔMNQ and ΔPQN are congruent, rotation, then translation would map the two triangles into one another.

Answer: Photo ⬇️

Step-by-step explanation:

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

In this example, there are 110 characters remaining in the message.

As stated in the question, the maximum size of a text message is 160 characters. This means that a message cannot exceed 160 characters, including spaces and punctuation marks. If we want to find out how many characters remain in a message, we need to subtract the number of characters in the message from the maximum allowed characters.

For example, if a message contains 50 characters including spaces, we can calculate the remaining characters as follows:

Maximum size of message = 160

Number of characters in message = 50

Remaining characters = Maximum size of message - Number of characters in message

Remaining characters = 160 - 50

Remaining characters = 110

Therefore, in this example, there are 110 characters remaining in the message.

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The probability that 3 separate flights will all take place is 0.531441

let A = event of scheduled flight actually take place

According to the question, P(A)=0.81

Given that 3 separate flights will all take place is an independent event.

Hence, we can use the multiplicative rule which says If the probability that one given flight takes place is 0.81 then the probability of 3 flights taking place is:

P(A∩B∩C) = P(A)*P(B)*P(C)

= 0.81*0.81*0.81

= 0.531441

so, the Probability that 3 separate flights will take place is 0.531441

The formula used for independent events:

P(A∩B∩C) = P(A)*P(B)*P(C)

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\) to find out the slope. \(\frac{6-11.25}{1.2-0.5}\)=\(\frac{-5.25}{0.7} = -7.5\)

Then you fill x and y to find out the y intercept

\(11.25=-7.5*0.5+b\)

\(11.25=-3.75+b\\11.25+3.75=15\\\)

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

From the diagram, we have:

\((x_1,y_1) = (0.5,11.25)\)

\((x_2,y_2) = (1.2,6)\)

Start by calculating the slope (m)

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{6 - 11.25}{1.2 - 0.5}\)

\(m = \frac{-5.25}{0.7}\)

\(m = -7.5\)

The equation is then calculated using:

\(y = m(x - x_1) + y_1\)

This gives

\(y = -7.5(x - 0.5) + 11.25\)

\(y = -7.5x + 3.75 + 11.25\)

\(y = -7.5x + 15\)

Calculate distance, when \(x = 5\)

We have:

\(y = -7.5 \times 5 + 15\)

\(y = -22.5\)

The speed (s) is then calculated as:

\(s = \frac{22.5}{5}\)

\(s = 4.5\)

Hence, he must plan to ride at 4.5 miles per hour

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According to the empirical rule for a normal distribution, 68% of the sample data lies between X - s and X + s, 95% of the sample data lies between X - 2s and X + 2s, and 99.7% of the sample data lies between X - 3s and X + 3s.

According to the empirical rule, also known as the 68-95-99.7 rule, for a normal distribution:

(a) Approximately 68% of the sample data lies between X - s and X + s.

This means that if we have a normal distribution, about 68% of the data will fall within one standard deviation of the sample mean.

(b) Approximately 95% of the sample data lies between X - 2s and X + 2s.

This means that if we have a normal distribution, about 95% of the data will fall within two standard deviations of the sample mean.

(c) Approximately 99.7% of the sample data lies between X - 3s and X + 3s.

This means that if we have a normal distribution, about 99.7% of the data will fall within three standard deviations of the sample mean.

The empirical rule provides a useful approximation for the distribution of data in a normal distribution.

It helps us understand how spread out the data is and provides a benchmark for determining the percentage of data within different intervals around the mean.

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Answer:

\(1 \frac{7}{24} \)

Step-by-step explanation:

\( \frac{7}{8} + \frac{5}{12} \)

L.C.M = 24

\( \frac{21 + 10}{24} \)

\( \frac{31}{24} \)

\(1 \frac{7}{24} \)

The second Borel-Cantelli lemma, we have P(lim sup Sn < ∞) = 0, which implies that Sn converges almost surely.

Let {Xn} be a sequence of random variables, and let Sn = X1 + X2 + ... + Xn be the corresponding sequence of partial sums. We want to show that if E(Xn²) is finite for all n, then Sn converges almost surely.

Let Yn = Xn^2. Then E(Yn) = E(Xn²) < ∞ for all n, since we are given that the second moments are finite. By the second Borel-Cantelli lemma, it suffices to show that the series ∑ P(Yn > ε) converges for every ε > 0.

Since Yn = Xn² ≥ 0, we have P(Yn > ε) ≤ P(|Xn| > √ε). Using Markov's inequality, we have:

P(|Xn| > √ε) ≤ E(|Xn|²)/ε = E(Yn)/ε.

Therefore, we have:

∑ P(Yn > ε) ≤ ∑ E(Yn)/ε = (1/ε) ∑ E(Yn) = (1/ε) ∑ E(Xn²) < ∞.

The last inequality follows from the fact that the second moments are assumed to be finite.

Thus, by the second Borel-Cantelli lemma, we have P(lim sup Sn < ∞) = 0, which implies that Sn converges almost surely.

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The income that's made based on the equation when 1 comb is sold is $0.5.

From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.

Therefore, the income by selling 1 comb will be:

y = 1/2

y = $0.5

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