Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She can earn up to $175 per week (including the
allowance).
- How many hours per week can Lin work? Explain or show your reasoning,

the normal and shearing stresses will be 11.054 KiPs and 0 respectively.

What is shearing stress?

An object experiences deformation when an external force works upon it. if the force's direction is parallel to the object's plane. Along that plane, there will be a distortion. The object in this instance is under shear or tangential stress.

shear force(v) = 6sin 35 = 3.44 KiPs

Amal borce(P) = 6cot 35 = 4.91 kiPA

moment (m) =3.44 (16) - 4-91(8) = 15.72kiPA

for point a)

no mal stress (r) = P/a +m/I (y)

= 4.91 /(3.08) + (15 .72)/((0.8 * 33)/12) (-5 )

=2.04-13.1

11.054 KiPs

shear stress will be 0.

Hence the normal and shearing stresses will be 11.054 KiPs and 0 respectively.

Learn more about shearing stress, by the following link.

https://brainly.com/question/20630976

#SPJ4

For the three bonds, the broker would quote prices based on the present value of future cash flows using the current market interest rate of 9%. The accrued interest would be calculated based on the number of days between the settlement date and the next payment date.

The buyer would actually pay the quoted price plus the accrued interest.(a) To calculate the price of the 7% bond maturing on September 15, 2025, the broker would determine the present value of the future cash flows, which include the semi-annual interest payments and the principal repayment. The present value is calculated by discounting the future cash flows using the market interest rate of 9%. The accrued interest would be calculated based on the number of days between November 26, 2018, and the next payment date (March 15, 2019).

(b) The same process would be followed to determine the price of the 5.5% bond maturing on May 1, 2035. The present value would be calculated using the market interest rate of 9%, and the accrued interest would be based on the number of days between November 26, 2018, and the next payment date (May 1, 2019).

(c) For the 10% bond maturing on July 8, 2020, the price calculation and accrued interest determination would be similar. The present value would be calculated using the market interest rate of 9%, and the accrued interest would be based on the number of days between November 26, 2018, and the next payment date (January 8, 2019).

By adding the quoted price and the accrued interest, the buyer would determine the total amount they need to pay for each bond. This ensures that the buyer receives the bond and pays for the accrued interest that has accumulated up to the settlement date.

Learn more about cash flows here:

https://brainly.com/question/30066211

#SPJ11

Answer:

5 times 2 plus 3 plus 2 times 4

Step-by-step explanation:

5×[4×(2+3+2)] is the expression that represents the total number of miles that will be run by all the members of the group.

Given that, there are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday.

We need to find which expression represents the total number of miles that will be run by all the members of the group.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Distance=2+3+2

So, 5×[4×(2+3+2)]

Therefore, 5×[4×(2+3+2)] is the expression that represents the total number of miles that will be run by all the members of the group.

To learn more about the expression visit:

https://brainly.com/question/14409875.

#SPJ2

Answer:

\(V=4480\pi \text{ units}^3\)

Step-by-step explanation:

Rewrite the region in terms of x

\(\displaystyle x=\frac{y}{6},\,x=y,\,y=24\)

Identify inner and outer radii

The inner radius is \(\displaystyle r=\frac{y}{6}\) and the outer radius is \(R=y\) because as \(y\) goes from 0 to 24, \(x\) goes from \(\displaystyle x=\frac{y}{6}\) to \(x=y\) in that direction.

Perform Washer Method

\(\displaystyle V=\pi\int\limits^b_a {(R^2-r^2)} \, dy\\ \\V=\pi\int\limits^{24}_0 {\biggr(y^2-\biggr(\frac{y}{6}\biggr)^2\biggr)} \, dy\\\\V=\pi\int\limits^{24}_0 {\biggr(y^2-\frac{y^2}{36}\biggr)\biggr)} \, dy\\\\V=\pi\biggr(\frac{y^3}{3}-\frac{y^3}{108}\biggr)\biggr|_0^{24}\\\\V=\pi\biggr(\frac{24^3}{3}-\frac{24^3}{108}\biggr)\\ \\V=4480\pi \text{ units}^3\)

I've attached a visual to help better understand this problem!

Answer:

jimmy has 12 candy bars left

Step-by-step explanation:

28-7-9=12

Answer:

Jimmy has 12 candy bars.

Step-by-step explanation:

Subtract 28 from 7.
=21

21-9=12.
Jimmy has 12 candy bars left if he eats 7 and his mom takes 9.

Answer:

B)blocks in 5th row=15+(5-1)(-2)

Step-by-step explanation:

We are given that

Number of block in bottom row=15

Each row has 2 fewer blocks than the previous row

We have to find the formula would you use to find the number of blocks in the 5th row.

Number of blocks in  second row=15-2=\(15+1(-2)\)

Number of blocks in third row=15-2-2=\(15+2(-2)\)

Number of blocks in 4th row=\(15-2-2-2=15+3(-2)\)

Number of blocks in 5th row=\(15-2-2-2-2=15+4(-2)\)

Therefore, number of block in 5th row

\(15+(5-1)(-2)\)

This is required formula to find the number of blocks in the 5th row

Hence, option B is true.

B)blocks in 5th row=15+(5-1)(-2)

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

To learn more about thread refer to :

https://brainly.com/question/2733060

#SPJ1

The solution is,  14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

given that,

a hill whose slope has a length of 345 feet and rises 87 feet

now, we have to find the angle of elevation of a hill.

so, we get,

perpendicular = 87

hypotenuse = 345

let, the angle of elevation is θ.

we have,

sin θ = 87/345

so, we get,

θ = 14.6°

Hence, The solution is,  14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ2

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

Answer:

c

Step-by-step explanation:

an expression is the sum.... difference or product of a value and a variable

Answer:

c

Step-by-step explanation:

Answer:

10x+15

Step-by-step explanation:

5 x 2x=10x

5x3=15

Answer:

10x+15

Step-by-step explanation:

5 x 2x= 10x

5 x 3= 15

10x+15

After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

To know more about exponential decay:

https://brainly.com/question/27492127

#SPJ4

To find the amount of honey each jar holds, we can set up an equation. Let's say the amount of honey each jar holds is represented by "x". Since Kendrick fills 24 equal-sized jars with honey, the total amount of honey in the jars can be found by multiplying the amount of honey in each jar (x) by the number of jars (24). This can be represented as 24x.

Given that Kendrick brings a total of 16 cups of honey to sell at the farmers' market, we can set up another equation. Since there are 16 cups of honey in total, we can equate it to the total amount of honey in the jars, which is 24x.

So, the equation would be: 16 = 24x.

To find the amount of honey each jar holds, we can solve this equation for x.

Dividing both sides of the equation by 24, we get x = 16/24.

Simplifying, x = 2/3. Therefore, each jar holds 2/3 cup of honey.

Know more about equation here:

https://brainly.com/question/14686792

#SPJ11

Answer:

\(a_{n}\) = 1 + (n-1)84

Step-by-step explanation:

to solve a sequence there's a formula-

\(a_{1}\)+(n-1)d

where a1 is the first term, and d is the common difference

since we know the first term, and we have a few subsequent terms we can solve for d and creat the general formula for the nth term

to find d we simply check the difference between two terms-

168-x = 84

168-84 = x

84 = x

we can confirm this by checking the next two even

252- x = 168

252 - 168 = x

84 = x

now we have enough for a general formula

\(a_{n}\) = 1 + (n-1)84

Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.

When comparing the absolute values of two numbers, the comparison is based on their magnitude or distance from zero, regardless of their sign.

In this case, Marina compared the decimal equivalents of -2/3 and -5/8, which are -0.666666... and -0.625, respectively. By calculating the decimal values, Marina attempted to compare the magnitudes of the numbers.

Marina correctly observed that |-0.666666...| = 0.666666... and |-0.625| = 0.625. However, she made an error in comparing the values by stating |-0.666666...| > |-0.625|.

To understand why the inequality needs to be reversed in her final answer (-2/3 < -5/8), let's examine the decimal values more closely.

When we write -0.666666... as a fraction, we have -2/3, and when we write -0.625 as a fraction, we have -5/8.

Now, when comparing fractions, a larger magnitude corresponds to a smaller value. In other words, the fraction with the smaller numerator or the larger denominator has a smaller value.

In this case, we can observe that -2/3 has a smaller numerator compared to -5/8, indicating a larger magnitude. Thus, -2/3 is actually greater than -5/8 in terms of their magnitudes or absolute values.

To correctly represent this comparison, the inequality should be reversed, resulting in the correct statement: -2/3 > -5/8.

Therefore, Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Yes SAS can be proven to be congruent

The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent. SAS as the meaning of Side- Angle - side

For example, in triangle ABC , where AB is 10cm and AC is 7cm and angle A is 50°

and another triangle XYZ , where XZ is 10 and YZ is 7 and angle Z is 50°

to prove ∆ ABC and ∆ XYZ are congruent, we have to check if the two sides of a triangle are congruent to the other two sides of the corresponding triangle and the included angles are congruent in both triangle.

XZ = AB

YZ = AC

angle Z = 50° = angle A

therefore ∆ABC and ∆XYZ are congruent.

learn more about SAS congruent postulate from

https://brainly.com/question/26800455

#SPJ1

Answer:

c and d

Step-by-step explanation:

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

To know more about Divisibility visit:

https://brainly.com/question/9462805

#SPJ4

The stratified random sample is better because this will lead to more accurate results.

Sampling is a method that implies randomly selecting participants, places, etc. as part of an experiment. There are two main methods for sampling:

The second method is the best to use because this will guarantee in each subarea there is the same number of salt licks. Preventing many salts licks to be together or a subarea to not having any salt licks.

Based on this, we can conclude this method will lead to more accurate results.

Learn more in: https://brainly.com/question/14887111

Answer:

Stratified random sampling is the better method to use.

Step-by-step explanation:

Stratified random sampling would be a better method for choosing where to place the salt licks because it will guarantee that each subarea has the same amount of salt licks, and prevent many salt licks from being in the same area or some subareas from having no salt licks at all.

Answer:

B.  The value of \(\sqrt{8}\) is between 2.5 and 3.

Step-by-step explanation:

The square root of 8 is 2.83

Answer:

(4, 1)

Step-by-step explanation:

To find the second point, first, we must look at how far apart the midpoint and point A are from each other

As seen in picrel, the midpoint is 3 units up and 1 unit left from point A.

We will repeat these units diagonally to make a linear line to find the next point.

3 units up and 1 unit left from the midpoint is (4, 1) which is point B.

For future problems related to finding the second point with only the midpoint and the first point, refer to step 1.

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

Learn more about Cantaloupe:

https://brainly.com/question/27861329
#SPJ4

Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

Because is cannot be evenly divided by 2.

The most common type of observational study is a Survey.

Observe the change in behavior of the independent variable. Don't add prejudice. Use surveys to get information about variables.

In the study, the independent variable is observed only for its behavior. Variables naturally exhibit variation. Researchers must not be biased when conducting research. Fundamentally, surveys help us obtain information about social parameters.

Step: 1

An experiment is a well-planned study of any particular cause and effect relationship between variables of interest. A debate is the form of discussion in which a conclusion is to be summarized at last. The statistical inference is a very crucial subject involving the predictions about population parameters based on sample statistics. The survey is the method of collection of information on variables which are not under the control of the experimenter.

The analysis defines various terminologies intermixed with the right answer to the question of interest.

Step: 2

An observational study is mostly conducted in the form of questionnaire. The questionnaire involves question regarding the issue to be studied. The most common type of observational study is a Survey.

Most of the observational studies are carried out in the form of surveys.

The most common type of observational study is a Survey.

learn more about observational studies here :

brainly.com/question/15938198

#SPJ4

Answer:

C. Disagree

Explanation:

Because when you're adding mixed fractions, you don't just make them/find there denominator's equivalent/LCM and them, you have to first convert them to improper fractions.

Hope this helps