what is the product of (x-1) (5x+3)

Answer:

make a table with the graph and get slope from there its just y=mx+b

Step-by-step explanation:

Answer: quadrant III  

Step-by-step explanation: srry if am wrong

The answers are in the red rectangles with the work.

Let me know if something is unreadable.

Answer:

(1, -1) and x= -1

Step-by-step explanation:

The vertex is (1, -1)

The parabola params are:

a=4, b=-8, c=3

v= −b/2a

- (−8)/ 2 · 4

Simplify

v=1 v=1

Plug in v=1 to find the y value

y=−1

Therefore the parabola vertex is

(1, −1)

The axis of symmetry is the line that passes through the vertex and focus.

Therefore, your axis of symmetry is

x= -1

Based on the given information, you can borrow approximately $89,227.46 for the purchase of your first home if you can afford to make monthly payments of $500 with a 6% annual interest rate on a 30-year mortgage.

APR = \((FV / PV)^1^/^n\) - 1

Where:

APR = Annual Percentage Rate

FV = Future Value ($2,500,000)

PV = Present Value or initial investment ($800,000)

n = number of years (10 years)

Plugging in the values, we have: APR = \(($2,500,000 / $800,000)^1^/^1^0\) - 1

Calculating this expression, we find: APR ≈ 0.1153 or 11.53%

Therefore, the annual percentage rate of return on your investment in the cattle ranch is approximately 11.53%.

Regarding your question about how much you can borrow for the purchase of your first home, given that you can afford to make monthly payments of $500 and the annual interest rate is 6% on a 30-year mortgage, we can use the formula for loan amount calculation:

Loan Amount = (Monthly Payment / Monthly Interest Rate) * (1 - \((1 + Monthly Interest Rate)^-^N^u^m^b^e^r^ o^f^ M^o^n^t^h^s\))

Where:

Monthly Payment = $500

Annual Interest Rate = 6% or 0.06

Monthly Interest Rate = Annual Interest Rate / 12

Number of Months = 30 years * 12 months

Plugging in the values, we have:

Loan Amount = ($500 / (0.06 / 12)) * (1 - (1 + \((0.06 / 12))^-^3^0^ *^ 1^2\))

Calculating this expression, we find: Loan Amount ≈ $89,227.46

To learn more about interest click here: https://brainly.com/question/8100492

#SPJ11

Answer:

30 centimeters

Step-by-step explanation:

I hope this helps

Answer:

what he said

Step-by-step explanation:

Answer:

you have to do it look up how to chart coordinates

Step-by-step explanation:

Answer:

ok brain less and point alr bet I will do this feal quick

Step-by-step explanation:

ok so the anser r very ez

first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser

The inequality expression to represent the situation is m ≤ 7

Inequalities are expressions that are not separated by an equal sign.

If Charmain must run a mile in 7 minutes or less to beat her best time, this can be expressed in inequality form as;

m ≤ 7 where:

The graph of the inequality expression is as shown below:

Learn more on inequality graph here: https://brainly.com/question/24372553

The Horizontal distance traveled by the rubber band when its height is 0.75 feet is approximately 2.29 feet.

The horizontal distance traveled by the rubber band when its height is 0.75 feet, we can set the equation f(x) = -x + 4% + 3 equal to 0.75 and solve for x.

The equation representing the height of the rubber band as a function of the horizontal distance traveled is:

f(x) = -x + 4% + 3

Given that the height is 0.75 feet, we can substitute f(x) with 0.75 in the equation:

0.75 = -x + 4% + 3

To solve for x, we need to isolate the variable on one side of the equation. Let's simplify the equation:

0.75 = -x + 0.04 + 3

Combine the constant terms on the right side:

0.75 = -x + 3.04

Now, isolate the variable by subtracting 3.04 from both sides:

0.75 - 3.04 = -x

-2.29 = -x

Finally, to solve for x, we multiply both sides by -1 to change the sign:

2.29 = x

Therefore, the horizontal distance traveled by the rubber band when its height is 0.75 feet is approximately 2.29 feet.

To know more about Horizontal distance.

https://brainly.com/question/29442909

#SPJ11

Answer:

12/(n-1)=10/(n+3). 12n−1=10n+3 12 n - 1 = 10 n + 3

Step-by-step explanation:

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

To learn more about Budgets refer:-

https://brainly.com/question/31952035

#SPJ11

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

Learn more about length of arc on https://brainly.com/question/31762064

#SPJ1

The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

Learn more about the area of the triangle here:

https://brainly.com/question/19305981

#SPJ4

The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

To learn more about Area of triangle, here

https://brainly.com/question/20934807

#SPJ4

Tom can paint the room alone in 12 hours.

Let's assume that the work required to paint the room is equivalent to 1 unit of work. If John can paint the room alone in 6 hours, his work rate per hour is 1/6.

Similarly, if John and Tom together can paint the room in 4 hours, their combined work rate per hour is 1/4. Let x be Tom's work rate per hour.

Then, we can set up the following equation:1/6 + x = 1/4

To solve for x, we can simplify the equation as follows:

Multiplying both sides by 12 (the LCM of 6 and 4) yields:2 + 12x = 3Solving for x gives:12x = 1x = 1/12Therefore, Tom's work rate per hour is 1/12, which means he can paint the room alone in 12 hours.

Summary:Tom can paint the room alone in 12 hours

Learn more about equation click here:

https://brainly.com/question/2972832

#SPJ11

Answer:

1 inch/hr

Step-by-step explanation:

Rate of growing of weed mile-a-minute = 2 ft per day

To find:

Rate of growth of weed in inches per hour ?

Solution:

First of all, let us have a look at the following units conversion:

1 ft contains 12 inches

and 1 day is equal to 24 hours.

Rate of growth of weed is Length divided by number of days.

2 ft per day means Length of 2ft divided by 1 day.

i.e.

\(\dfrac{2\ ft}{1\ day}\)

Let us put the units for conversion as discussed above:

\(\dfrac{2\times 12\ inches}{24\ hours}\\\Rightarrow \dfrac{24\ inch}{24\ hours}\\\Rightarrow \bold{1\ inches/hr}\)

So, the answer is: 1 inch/hour

Answer:

the answer is D :))) hope you pass this

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

Learn more about probability at: brainly.com/question/251701

#SPJ4

a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

for such more question on distinct conjugacy

https://brainly.com/question/11583754

#SPJ8

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer:

Bzbsjshhd

Xbdbdhs

Step-by-step explanation:

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:

142.5cm2 if it's correct I would appreciciate a brainliest

Step-by-step explanation:

15x19=285

285/2=142.5

Answer:

142.5

Step-by-step explanation:

19 x 15 = 285

285 / 2 = 142.5

formula for area of triangle is A = height (straight line from the base to the tip, not the length of one of the sides) x length of base / 2 ( A= hb/2)

Answer:

If common denominators allow us to compare fractions just by looking at the numerators, then common numerators should allow us to compare fractions by looking only at the denominator.

Step-by-step explanation:

hope i can be of help <3

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.