82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?

Answer:

5.22, -2.65, -3.72, -10

Step-by-step explanation:

The higher negative numbers will be the least numbers.

Answer:

Answer: LCM of 5, 6, and 7 is 210.

Answer:

2 for 25 cents is a better price

The boundary value and initial value statement are,

T surrounding = 100°c

IVP = \(T_i = 20^oc, T_f = 75^oc\\\).

What is Initial Value Problem?

In multivariable calculus, an initial value problem is an ordinary differential equation that also includes an initial condition that identifies the value of the unknown function at a specific location in the domain. An initial value problem is frequently solved when modelling a system in physics or another scientific field.

Consider a cylindrical potato, sliced into thin slices with thickness L = 1 cm, much smaller than the diameter slices.

Initial temperature \(T_i = 20^o\)

Final temperature = \(T_f = 75^o\)

Now we have to solve the given cases.

Consider the heat equation,

q = k(∂T / ∂x)                   ..(1)

(a) Now we have to find the boundary value

Boundary Value:

\(T_i = 20^oc, T_f = 75^oc\\\)

⇒ ΔT = [75 - 20]

⇒ΔT = 55°c

T surrounding = 100°c

IVP = \(T_i = 20^oc, T_f = 75^oc\\\)

Hence, the boundary value and initial value statement are,

T surrounding = 100°c

IVP = \(T_i = 20^oc, T_f = 75^oc\\\).

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Complete question:

Complete question is attached below,

I understand you want to find an angle in a triangle using given information. In this case, you have angle A, side a (opposite angle A), and side b. To solve this, you can use the Law of Sines:
sin(A) / a = sin(B) / b
Given that angle A and sides a and b are known, you can solve for angle B using the following steps:
Step 1: Rearrange the equation to isolate sin(B):
sin(B) = (b * sin(A)) / a
Step 2: Substitute the given values of angle A, side a, and side b into the equation:
sin(B) = (b * sin(A)) / a
Step 3: Calculate the value of sin(B) using the values from Step 2.
Step 4: Find angle B by taking the inverse sine (arcsin) of the value calculated in Step 3:
B = arcsin(sin(B))
Now, you have found angle B using the given information. Remember that the sum of angles in a triangle is 180 degrees, so you can find the third angle, C, by subtracting angles A and B from 180:
C = 180 - A - B
You have now found all angles in the triangle using the given information and the Law of Sines.

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Answer:

6

Step-by-step explanation:

I may be wrong.

If I am, delete this answer.

If it's right, please mark it as the Brainliest. I would really appreciate it.

The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.

Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

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Answer:

10) m∠2 = 139°

11) m∠3 = 139°

12) m∠4 = 41°

Step-by-step explanation:

Question 10

∠2 and the adjacent angle of 41° are supplementary angles since they lie on opposite sides of the same line; they must add up to 180°

m∠2 + 41° = 180°

m∠2 = 180-41 =139°

Question 11

∠2 and ∠3 are formed by the intersection of two rays. They are vertically opposite angles and therefore they must be equal

m∠3 = m∠2 = 139°

Question 12

Angles  ∠3 and ∠4 are supplementary angles (same reasoning as q 10)

Therefore m∠4 = 180°  - m∠3

= 180° - 139° = 41°

Note that there are many ways to arrive at the answers for m∠4

Answer:

12 and 8

Step-by-step explanation:

→ Set up two equations

x - y = 4

\(\frac{x+y}{2} =10 \\ \\x + y = 20\)

→ Add the 2 equations together

2x = 24

→ Solve for x

x = 12

→ Substitute into original equation

12 - y = 4

→ Solve

y = 8

Answer:

125

Step-by-step explanation:

\(a = \frac{1}{2} \times 90 \degree \\ \\ a = 45 \degree \\ \\ b =\frac{1}{2} (360\degree - 200\degree) \\ \\ b = 80\degree \\ \\

a + b = 45 + 80 \\ \\ a + b = 125 \degree\)

When drawing one card from a deck of 52 cards, the probability of obtaining either a spade or an ace are 4/13.

Given,

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

We have to find the probability of getting either a spade or an ace when drawing a single card from the deck;

Here,

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Now,

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

Then,

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

That is,

The probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards is 4/13

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The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.

The study is a sample survey, because the population is for it to be practical to record all of the responses.

a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.

b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.

c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.

d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.

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Answer:

241.44  maybe the number 572 is wrong? is strange you get decimals for such a simple problem

Step-by-step explanation:

chair=c

lamp=l

table=a

we know everything costs 572 dollars

a+l+c=572

c=4*l so the next equations is a+l+4l=572 or a+5l=572

but a=4*l-23

next equation will be

4l-23+5l=572

9l=572+23

9l=595

lamp=66.11  chair=264.44

table=264.44-23=241.44

The correct option for the slope of the least-squares regression line is (c) It has the same sign as the correlation.

A least squares regression line (LSRL) is a straight line that shows how the response variable y changes as the explanatory variable x changes. A line is a mathematical model used to predict the value of y for a given x. Regression requires an explanatory variable and a response variable. 

The method of least square regression line is an important statistical technique practiced to find the regression line or the best fit line for a particular pattern. This procedure is described by an equation with specific parameters. The least squares method is used liberally in analysis and regression.  

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The band boosters had custom t-shirts made for homecoming and need to sell a certain number of shirts to cover their expenses. An equation, 10x = 25.90 + 8.15x, can be used to determine the number of shirts they need to sell to break even.

Let's break down the given information and formulate an equation to represent the situation.

The band boosters paid a setup fee of $25.90 and an additional cost of $8.15 per shirt to have the custom t-shirts made. They plan to sell each shirt for $10.

Let's represent the number of shirts they need to sell as 'x'. The cost to produce 'x' shirts would be the sum of the setup fee and the cost per shirt multiplied by the number of shirts:

Cost to produce 'x' shirts = Setup fee + (Cost per shirt × Number of shirts)

Using the given values, the equation becomes:

Cost to produce 'x' shirts = $25.90 + ($8.15 × x)

To break even, the revenue from selling the shirts should equal the cost to produce them. The revenue can be calculated by multiplying the selling price per shirt ($10) by the number of shirts sold:

Revenue from selling 'x' shirts = Selling price per shirt × Number of shirts sold

The equation representing the situation can be written as:

$10x = $25.90 + ($8.15 × x)

Simplifying the equation, we have:

10x = 25.90 + 8.15x

Now we have the equation that represents the situation.

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Answer:

x=11

Step-by-step explanation:

The two angles given in the diagram, are equal, so therefore, we can assume that this is an isosceles triangle, since the definition of an isosceles triangle is one with opposite base angles are equal, therefore, opposite sides are equal.

Hence, x-5 = 6. Add 5 to both sides, and ∴x=11

Therefore, the differential equation is obtained to be\(c(t) + 2e^{(-t)} - e^{(-2t)} + 3sin(t) + \big(\frac{1}{\sqrt{3}}\big)sin(\sqrt(3)t) = r(t)\).

What is differential equation?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

The transfer function G(s) = C(s)/R(s) is given by:

\(G(s) = \frac{(s^5 + 2s^4 + 4s^3 + s^2 + 3)}{(s^6 + 7s^5 + 3s^4 + 2s^3 + s^2 + 3)}\)

To write the differential equation involving c(t) and r(t) whose relationship is described by the transfer function, we need to take the inverse Laplace transform of the transfer function G(s).

We can use partial fraction decomposition to simplify the expression -

\(G(s) = \frac{(s^5 + 2s^4 + 4s^3 + s^2 + 3)}{(s^6 + 7s^5 + 3s^4 + 2s^3 + s^2 + 3)} = \frac{1}{s} - \frac{2}{(s+1)} - \frac{1}{(s+2)} + \frac{3}{(s^2+1)} - \frac{1}{(s^2+3)}\)

Taking the inverse Laplace transform of each term, we obtain -

\(c(t) = r(t) - 2e^{(-t)} - e^{(-2t)} + 3sin(t) - \big(\frac{1}{\sqrt{3}}\big)sin(\sqrt(3)t)\)

Therefore, the differential equation involving c(t) and r(t) is -

\(c(t) + 2e^{(-t)} - e^{(-2t)} + 3sin(t) + \big(\frac{1}{\sqrt{3}}\big)sin(\sqrt(3)t) = r(t)\)

To determine the poles and zeroes of the transfer function, we can use any root-finding program such as MATLAB.

Using the MATLAB command "pzmap", we get the following plot -

The poles of the transfer function are located at approximately -6.167, -1.149, -0.4587 ± 0.7175i, and 0.2155 ± 0.9605i.

The zeroes of the transfer function are located at approximately ±1.316i.

The poles have different contributions to the time response based on their location in the complex plane.

The pole at -6.167 contributes an exponentially decaying term \(e^{(-6.167t)}\) to the time response.

The poles at -1.149, -0.4587 ± 0.7175i, and 0.2155 ± 0.9605i contribute oscillatory terms to the time response with different frequencies and damping factors.

Therefore, the differential equation is \(c(t) + 2e^{(-t)} - e^{(-2t)} + 3sin(t) + \big(\frac{1}{\sqrt{3}}\big)sin(\sqrt(3)t) = r(t)\).

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Answer:

Step-by-step explanation:

Answer:

I got d b and c  I am not  sure pls don't use my answers if you don't want to and don't mark brainiest again I just wanted to try to help and I couldn't fully understand if I'm wrong I apologize and god bless you

\(f(x) = \frac{ {2}^{x} }{x} \)

Numerator

\(y = {2}^{x} \)

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

\(y = {a}^{x} \)

Denominator

\(y = x\)

The function family is linear when separating the numerator. The equation for linear family is only

\(y = mx + b\)

We combine both exponential and linear by dividing the exponential with linear.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

(-1,0) and (5,0)

Step-by-step explanation:

The roots are the points where the y-value is 0 and the point lies exactly on the x-axis.

(blank,0)

In this parabola, the points that are exactly on the x-axis is (-1,0) and (5,0)

The length of segment BC rounded to 3 SF. is 12.4

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

The length of BC is calculated as

sin(ABC) = AC/BC

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

sin(50) = 9.5/BC

So, we have

BC = 9.5/sin(50)

Evaluate

BC = 12.4

Hence, the length is 12.4

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Answer:

1,386

Step-by-step explanation:

guessed it in my head