EXPLANATION:

Given;

We are given two points which are shown below;

[tex]\begin{gathered} (6,4) \\ (4,-1) \end{gathered}[/tex]Required;

We are required to calculate the slope.

Step-by-step solution;

To calculate the slope given two points, we shall use the following formula;

[tex]\begin{gathered} Slope: \\ m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Where the variables are;

[tex]\begin{gathered} (x_1,y_1)=(6,4) \\ (x_2,y_2)=(4,-1) \end{gathered}[/tex]We can now substitute these values and solve;

[tex]m=\frac{-1-4}{4-6}[/tex][tex]m=\frac{-5}{-2}[/tex][tex]m=\frac{5}{2}[/tex]Therefore.

**ANSWER:**

There are 500 fish in a pond, to 1sf. What is the least possible number of fish that could be taken from

the pond so that there are 400 fish in the pond to 1sf

**Answer:**

one

**Step-by-step explanation:**

The least number of fish COULD be 450 ....this would be 500 to 1 S.F.

if you take **ONE** fish away there are then 449 which would be 400 to 1 S.F

Mei and Dennis compare the numbers graphed on the number line below. Mei writes theinequality -9 <-3. Dennis writes the inequality -3 <-9. Which statement is true?FILE-10 -9 -8 -7 -6 -5 -4 -3 -2 -10A)Mei is correct because -9 is greater than 3.B)Mei is correct because -9 is to the left of -3 onthe number line.C)Dennis is correct because 3 is less than 9.D)Dennis is correct because -3 is to the right of--9 on the number line.

**The correct answer is:**

Mei statement that the inequality** **is** -9 < -3 **is** True.**

Mei is correct because -9 is to the left of -3 on the number line. ( first option in the picture).

Albert is taking a 60 item multiple choice test. He knows the correct answers to all,except 1/5 of the items.If he guesses correctly on 3/4 of these questions,how many items correctly?

57 **items** are correct.

**What is an item?**

Items are a fundamental component of an OracleAS Portal page. **Item** types are used to categorize **items**. **Item **types determine the contents of an item as well as the information kept about it. Users with the necessary permissions can add an item or create an **item** type. The properties of an object type define the information stored about it. The **item** types that you can add to a page differ depending on whatever **item** types the page group administrator has included in the page group. If the built-in **item** types are insufficiently flexible, users with proper access can develop new custom **item** kinds to fulfill their needs.

1/5 of 60 **items **= 60/5 = 12 **items**

3/4 of 12 **items **= 12x3/4 = 9 **items**

Total no. of correct **items** = 60 - 12 + 9 = 57 **items**

To know more about items, click on the link

https://brainly.com/question/11408596

#SPJ9

How many solutions does -14 + 6b + 7 - 2b = 1 + 5b have

The number of **solutions** that -14 + 6b + 7 - 2b = 1 + 5b has is 1 solution.

It should be noted a equation is important to illustrate the relationship between the variables. In this case, the equation **given** is illustrated as:

-14 + 6b + 7 - 2b = 1 + 5b

Collect like **terms**

-8 + 6b - 2b = 5b

b = -8

Therefore, it has only one **solution**.

Learn more about **equations** on:

brainly.com/question/2972832

#SPJ1

A DVD is available at a store for $16.99. The list price of this DVD was $18.75. What was the percent discount? % (Round to the nearest tenth as needed.)

The cost of DVD = $16.99

The list price of this DVD was $18.75

So, the discount =

[tex]18.75-16.99=1.76[/tex]And the percent discount =

[tex]\frac{1.76}{18.75}\cdot100=9.3866\%[/tex]Rounding the answer to the nearest tenth

So, the answer will be : the percent discount = 9.4%

The surface area S of a cylinder is

S

=

2

π

r

2

+

2

π

r

h

where r is the base radius and h is the height. What is h, in inches, when S is 175 square inches and r is 6 inches?

The **value **of **height **(h) will be 1.35 inches.

**What is Surface area?**

The space occupied by a plat surface is called **Surface area.**

Given that;

**Surface area **(S) = 2πr² + 2πrh

Where, r is the base radius and h is the height.

Now, When **Surface area** = 175 square inches

**Radius **(r) = 6 inches.

Then, We can calculate **height **as;

Since,

**Surface area** (S) = 2πr² + 2πrh

175 = 2 × 3.14 × (6)² + 2 × 3.14 × 6 h

175 = 226.08 + 37.68h

175 - 226.08 = 37.68 h

- 51.08 = 37.68 h

h = - 51.08 / 37.68

h = - 1.35

Thus, The **value **of **height **(h) will be 1.35 inches.

Learn more about **the surface area **visit:

https://brainly.com/question/20771646

#SPJ1

Mary sold 192 worth of greeting cards if she received 25% Commission on all sales how much commission did she receive

25% of 192 = 192 * 25/100 = 192 * 0.25 = 48

**Answer:**

**Mary received $48**

Help with this problem

I₃** indifference curve **represents the highest utility

What is an indifference curve?

An** indifference curve **is a graph that illustrates numerous pairings of two goods or commodities that leave the customer equally well off or satisfied—hence indifferent—when it comes to owning any pairing of the two items that is represented along the** curve**.

A consumer must give up more of one good in order to buy more of another, hence an indifference curve will always have a negative slope.

The given** indifference map **is a fast food meals per week vs movie tickets per week graph .

In which I₃ yields more than I₂ .

And I₂ yields more than I₁.

Thus, I₃ curve represents the highest utility.

To know more about **indifference curve **visit:

**https://brainly.com/question/14514309**

#SPJ13

Suppose a hospital would like to estimate the proportion of patients who feel that physicians who care for them always communicated effectively when discussing their medical care. A pilot sample of 40 patients found that 28 reported that their physician communicated effectively. Determine the additional number of patients that need to be sampled to construct a 90% confidence interval with a margin of error equal to 2% to estimate this proportion.

Part 1

The additional number of patients that need to be sampled is

(Round up to the nearest integer.)

174 more **patients **need to have their **samples **taken than were originally anticipated. This is further explained below.

Generally, the equation for the** margin of erro**r is mathematically given as

[tex]{Margin\ of \ error } & \ amp;=Z_{o \text { it }} \text { at } 5 \% \text { lo.s } \times S E(p)[/tex]

Where

Z is the distributionSE is the standard deviationGiven that the margin of error should be 7%, or 0.07, the total number of extra patients is denoted by n.

sample proportion = 11/20 = 0.55

q =0.45

**Margin of error **= Zo at 5% lo.s * S E(p)

To solve for the 0.07amp

[tex]\\\\0.07 =1.96 \times \sqrt{\frac{p q}{n}}[/tex]

[tex]\\\\&0.07=1.96 \sqrt{\frac{0.55 \times 0.45}{20+n}} \\\\0.07 =\frac{0.97508}{\sqrt{20+n}} \\\\\sqrt{20+n} =\frac{0.97508}{0.07} \\\\\end{aligned}[/tex]

20+n =194.04

n =174.04

**n=174**

Read more about **Marginal error**

https://brainly.com/question/10501147

#SPJ1

Sue used 4 ounces of dark chocolate chips for every 3 ounces of white chocolate chips if she uses 21 ounces of chips altogether how many ounces of dark chocolate chips did she use

**Answer: 12 oz **

**Step-by-step explanation:**

**Answer: 12**

**Step-by-step explanation:**

What is the answer to m

the sum of the internal angles of a quadrilateral is 360, therefore:

[tex]\begin{gathered} m\angle A+m\angle B+m\angle C+m\angle D=360 \\ \text{and} \\ m\angle A+m\angle C=180 \\ m\angle B+m\angle D=180 \end{gathered}[/tex]so

[tex]\begin{gathered} a+5+a-25=180 \\ 2a-20=180 \\ 2a-20+20=180+20 \\ 2a=200 \\ \frac{2a}{2}=\frac{200}{2} \\ a=100 \end{gathered}[/tex]mm

mm

Show all work for full credit.

Sketch the following curves, indicating all relative extreme points and inflection points. (10 pts)

a. y= x^3-6x^2+9x+3

For the given function, it is found that:

TheThe extreme points of a function happen at the values for x for which the **first derivative is zero**, that is:

y' = 0.

In this problem, the **function **is:

y = x³ - 6x² + 9x.

Hence the first **derivative **is:

3x² - 12x + 9.

The **extreme **values of x are:

3x² - 12x + 9 = 0.

3(x² - 4x + 3) = 0

x² - 4x + 3 = 0

(x - 3)(x - 1) = 0.

Then:

x - 3 = 0 -> x = 3.x - 1 = 0 -> x = 1.The** numeric value** of the function at these points is:

Hence the **points **are:

(3,3) and (1,7).

What are the inflection points of a function?The extreme points of a function happen at the values for x for which the **second derivative is zero**, that is:

y'' = 0.

For this problem, the **second **derivative is given by:

y'' = 6x - 12.

Hence the x-coordinate of the **inflection **point is:

6x - 12 = 0

6x = 12

x = 2.

The **numeric value** at x = 2 is:

2³ - 6(2)² + 9(2) + 3 = 5.

Then the inflection **point **is:

(2,5).

The **graph **with these points labeled is given at the end of the answer.

More can be learned about **extreme **and **inflection **points of a function at https://brainly.com/question/14338487

#SPJ1

Question:

Find all critical points of the function g(x)=sin^2(11x). Express your answer in terms of pi.

(Use symbolic notation and fractions where needed. Use n for all integer values.)

**Critical points **are the points where the **slope **of the function is **zero **thus at θ = 0,π/22,π11,3π/22 ... will be the critical points of **function **g(θ) = sin²(11θ).

A **slope **is a **tangent **or angle at a point and a slope is the **intensity **of **inclination **of any geometrical lines.

Slope = Tanx where x will be the **angle **from the positive x-axis at that point.

As per the given **function**,g(θ) = sin²(11θ).

The **critical** **points **are the points where the **slope **of the **tangent **of the function is **zero**.

The **slope **of the tangent of a function is the **first derivative **thus,

g'(θ) = 0 ⇒ 2× 11 sin(11θ)cos(11θ) = 0

Sin(11θ) = 0 ⇒ θ = 0

Cos(11θ) = 0 ⇒ 11θ = π/2

θ = π/22

Since, **sinusoidal **functions are **repeating **thus,

**Next critical **point = π/22 + π/22 = π/11 and so on.

Hence "**Critical points **are the points where the **slope **of the function is **zero **thus at θ = 0,π/22,π11,3π/22 ... will be the critical points of **function **g(θ) = sin²(11θ)".

To learn more about **slopes**,

https://brainly.com/question/3605446

#SPJ1

A baker has a bag with 20 cups of flour. The baker plans to use the flour to make 4 loaves of bread. Each loaf of

bread uses 3 cups of flour.

How many cups of flour will remain in the bag when the baker has finished making the bread?

Enter your answer in the space provided.

Answer: 8

Explanation:

4 x 3 is = 12

20 - 12 = 8

8 cups of flour will remain in the bag.

Explanation:

4 x 3 is = 12

20 - 12 = 8

8 cups of flour will remain in the bag.

Find the area of the circle A) 12.56 mm^2B) 25.12 mm^2C) 37.17 mm^2D) 50.24 mm^2

The formula in getting the area of the circle is:

[tex]A=\pi r^2[/tex]where r = the radius of the circle and the value of π = 3.14

In the diagram, the radius of the circle is 4 mm. Let's replace the "r" in the formula with 4 mm and "π" with 3.14

[tex]A=(3.14)(4mm)^2[/tex]Then, simplify.

[tex]\begin{gathered} A=(3.14)(16mm^2) \\ A=50.24\text{ }mm^2 \end{gathered}[/tex]**Therefore, the area of the circle is 50.24 mm². (Option D)**

*We have* **π = 3.14** *and the* **radius is 4 mm**. **Therefore we apply the following formula:**

**Replacing values in the equation.**

**We calculate potentiation.**

**We multiply**

**A = 50.24 mm²**

**Answer: **The circle area is 50.24 mm^2 **(option D)✅ .**

Find 98.6% of 343.7. Round to the nearest thousandth.

Percentage, a relative value indicating **hundredth parts** of any quantity.

98.6% of 343.7 is in nearest **thousandth** 338.888

Percentage, a relative value indicating hundredth parts of any quantity.

We need to find 98.6% of 343.7.

Ninty eight point six percentage of three hundred forty three point seven.

Ninty eight point six percentage we need to **convert** into **decimal** number this can be achieved by **dividing **with 100.

98.6% =98.6/100

When ninty eight point six is divided by hundred we get zero point nine eight six.

=0.986

We need to find what is 98.6% of 343.7.

To find ninty eight point six **percentage** of three hundred forty three point seven. we are required to multiply the **converted value** of 98.6% with three hundred forty three point seven.

Simply we need to** multiply** 0.986 with 343.7.

=0.986×343.7

=338.888

Hence 98.6% of 343.7 is 338.888

To learn more on **Percentages** click:

https://brainly.com/question/28269290

#SPJ1

A test was given to a group of students. The grades and gender are summarized below A B C TotalMale4192043Female1116532Total15352575If one student is chosen at random from those who took the test,Find the probability that the student got a 'B' GIVEN they are male.

[tex]\begin{gathered} P(A)=Probability\text{ that the student got a B} \\ P(B)=\text{Probability that the student are male} \\ P(A|B)=\text{Probability that the student got a B given they are male} \\ P(A|B)=\frac{P(A\cap B)}{P(B)} \\ P(A\cap B)=Probability\text{ that the student got a B and be male} \\ \text{From the table} \\ P(A\cap B)=\frac{19}{75} \\ P(B)=\frac{43}{75} \\ \\ P(A|B)=\frac{\frac{19}{75}}{\frac{43}{75}} \\ P(A|B)=\frac{19}{43}=0.442=44.2\text{ \%} \\ \text{The probability is }\frac{19}{43}=0.442=44.2\text{ \%} \end{gathered}[/tex]

The measures of the angles of a triangle are shown in the figure below. Solve for x.

50°

(6x-18)°

70°

**Answer:**

x=13

**Step-by-step explanation:**

We add all the numbers together, and all the variables

6x-78

We move all terms containing x to the left, and all other terms to the right

6x=78

x=78/6

which should equal 13

I need help

There are 3 consecutive even integers with a sum of 72. Which equation can be used to find such integers?

x + 2 = 24

x + 2 = 12

x + 1 = 12

x + 1 = 24

The **equation** used to find the 3 consecutive **even integers** with a sum of 72 is x + 2 = 24.

For the given data in question.

Let the first** even integer** be 'x'.

Second even integer will be 'x + 2'.

Thirst even integer will be 'x + 4'.

The** sum** is 72

x + x + 2 + x + 4 = 72

Simplifying;

3x + 6 = 72

Divide whole equation by 3.

x + 2 = 24

Thus, the **equation** used to find the** 3 consecutive **even integers with a sum of 72 is x + 2 = 24.

To know more about the **even integers**, here

**https://brainly.com/question/13723636**

**#SPJ13**

Use the point-slope formula to write an equation of the line that passes through (0,6) and (-2,0) write answer in slope intercept form

Equation using **slope** **intercept** **form** is 3y = x + 18

An **intercept** in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the **equation** for a line, which is written as y = mx + b, where m denotes slope and c denotes the y-intercept. Y = mx + b is the general formula for the **slope**-**intercept** **form**, where m stands for the line's **slope** and b for the y-value of the line's **y-intercept**. We may more easily determine a line's slope and its y-axis intersection using the slope-intercept form of a **linear equation**.

Given Data

**Points**(0,6) and (-2,0)

The** slope** formula = [tex]\frac{y_{2}-y_{1 } }{x_{2}-x_{1} }[/tex]

y₂= 0

y₁=6

x₂=-2

x₁=0

Slope = (-2-0)/(0-6)

Slope = -2/ -6

Slope = 1/3

Slope intercept form

y = mx + b

y = (1/3)x + 6

y = (x+18)/3

3y = x + 18

**Equation** using **slope** **intercept** **form** is 3y = x + 18

To learn more about **slope intercept form**, visit:

**https://brainly.com/question/9682526**

#SPJ10

What can be concluded from the statement ∠1+∠2m∠1+m∠2 = 90°?

When two angles add to 90º they are called complementary angles.

Then, if in the given statement the sum of angles 1 and 2 is equal to 90º, angles 1 angle 2 are complementary.

Answer: <1 and <2 and <1and <2 are complementary3. Compute the derivatives of the following functions. Do not simplify.

a) f(x)=tanx/e^3

b) f(x)= tan -¹(x³)(x^5)(ln x) c) f(x)=^7√x^5+ 5^x d) g(x)=x^sec(x)

**Answer:**

**A** im sure

**E****x****a****m****p****l****e**** **** **

*h**o**p**e** **i**t**z** **h**e**l**p**p**p**p*

the phone sells Jan a bicycle for $175 and a helmet for $17. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin

**Jin**

The bicycle selling price was : $175

The helmet was for : $17

Jin total cost was 160% of what Stefan spent originally to buy the two items

This means ; 160/100 * x = { 175+17} -----where x is the original amount stefan spent to buy the two items

1.6 x = 192

x = 192 /1.6

x=120

Stefan originally spent $120

The money he made after the sell is: $192-$120 =$72

Answer

a) $120

b) $72

Mr. Connor's physics class has 105 students, classified by academic year and gender, as illustrated in the table. Mr. Connor randomly chooses one student to collect yesterday's work

Academic Year male female

Junior 8 11

senior 19 19

freshman 9 12

sophomore 19 8

The **probability** that he selects a Mel given that he chooses randomly from only the **Juniors** is 0.076.

It should be noted that the **probability** is the likelihood that something will happen. The table shows that Connor's physics class has 105 students, classified by academic year and **gender**.

The **probability** will be:

Fraction of males that are **junior** / Fraction if Junior

= 8/105 / 19/105

= 0.076

The **probability** is 0.076.

The **complete question** is written below.

Learn more about **probability** on:

brainly.com/question/25870256

#SPJ1

What is the probability that he selects a Mel given that he chooses randomly from only the Juniors.

The circumference of a circle is 12.56 miles. What is the circle's diameter?

**Answer:**

d= 4 miles

**Step-by-step explanation:**

C=2πr

d=2r

d=C

π=12.56

π≈3.99797mi

Diego's current ago is five times Martina's age ten years ago. If Martina is currently m years old, what is Diego's current age in terms of m?

Given that Diego's current age is five times Martina's age ten years ago.

Martin is currently m years old.

Ten years ago, Martin's age was (m-10) yers.

Since, Diego's current age is five times Martina's age ten years ago., therefore, Diego's current age is

5(m-10).

**So, Diego's current age is 5(m-10). **

The measures of the angles of a triangle are shown in the figure below. Solve

for x.

62⁰

82⁰

(x+12)

**Answer: 24**

**Step-by-step explanation:**

The angles of a triangle add to 180 degrees, so:

[tex]62+82+x+12=180\\\\156+x=180\\\\x=24[/tex]

Solve the inequality.16-x^=0

**Inequalities**

Solve:

[tex]16-x^2\le0[/tex]For a better understanding, we first multiply the inequality by -1. Recall by doing so, the sign must be flipped:

[tex]x^2-16\ge0[/tex]Factor the binomial:

[tex](x-4)(x+4)\ge0[/tex]We have a product of two variable expressions and it must be positive or zero. That can only be possible if:

* Both factors are positive or zero

* Both factors are negative or zero

The answer can come from any of the conditions stated above, so the solution is the OR combination of the individual solutions.

The first condition states:

x - 4 ≥ 0 AND x + 4 ≥ 0

This leads to the solution:

x ≥ 4 AND x ≥ -4

If x must be greater or equal to 4 and greater or equal to -4, then the AND combination gives the solution: **x ≥ 4**

The second condition states:

x - 4 ≤ 0 AND x + 4 ≤ 0

This leads to:

x ≤ 4 AND x ≤ -4

The AND combination gives the second solution **x ≤ -4**

The final solution is the first solution OR the second solution, that is:

**x ≤ -4 or x ≥ 4**

Representing the solution in the number line, we get the graph below:

Expressed in interval form: (-∞ , -4] U [4, +∞)

Determine whether the point (4,2) is in the solution set of the system of inequalities below. 4x + y < 2, y > -2

The point (4,2) is not in the solution set as it do not satisfy the first **inequality **4x+y<2.

To be in the solution set of the system of **inequalities** the point (4.2) must satisfy both the given linear inequalities.

So, 4x + y < 2

when x = 4, y = 2

4(4) + 2 = 18 which is not less than 2

So, point do not satisfies this linear inequality

Now, for y>-2,

y = 2 which satisfies the inequality

Therefore, we say that the point (4,2) is not in the solution set of the system of **inequalities**.

Learn more about **system of inequalities** here **https://brainly.com/question/19526736**

#SPJ1

write an equivalent expression for (925x to the 3rd times y to the negative 4th times z to the second) 0

**Answer:**

1

**Step-by-step explanation:**

Anything to the power of 0 is 1.

Ex:

[tex]x^{0} =1\\3643737737^{0} =1\\[/tex]

using the periodic table, what characteristics of sodium would be essential to know when investigating sodium substitutes in salts?
can formation be human made
4-[x]=1 absolute value equation
Please help!!!!!! bill $42 tax 9% tip 18%
In a sample of 30000 first borne babies, 6 were found to have Down syndrome. Find the empirical probability thay a familis first child will be born with this sydrome
what does syntax error mean :-;explain briefly.thankyou!
imagine a world war ii scenario in which german soldiers strap innocent people to the front of their tanks to dissuade allied troops from firing on the vehicles. if the allies hold their fire, their positions will be overrun, and hundreds of their troops will be killed. the allied commander gives the order for his troops to shoot at the tanks, knowing that the civilians will perish. should the allies have killed these innocents?
What is the pH of a solution that is 0.67 M in sodium fluoride and 0.43 M in hydrofluoric acid?Report your answer to 2 decimal places.
PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!
A 20-foot ladder is leaning against the side of a house so that the bottom of the ladder is 12 feet from the base of the house. Will the ladder reach a window that is 14.5 feet above the ground? Yes, because the ladder will reach 32 feet high Yes, because the ladder will reach 16 feet high No, because the ladder will only reach 16 feet high No, because the ladder will only reach 12 feet high
Calculate the pH values and the masses of dissolved compounds of the following solutions:a) solution of HCl (M = 36.46 g/mol) with concentration 0,0025 M and volume 500 mLb) solution of the base Ca(OH)2 (M = 74.09 g/mol) with concentration of 0,02 mol/L and volume 2 liters
What impact can family therapy have on a family with an alcoholic member?
the great pyramid of giza was constructed nearly 5000 years ago. within the pyramid, archaeologists discovered a shaft leading from the central chamber out of the pyramid, oriented for favorable viewing of the bright star thuban at that time. thinking about earths precession, explain why thuban might have been an important star to the ancient egyptians.
A room 12-4 by 13-9 with an 8-0 ceiling height has one door 3 7 and two windows 4 square. Answer the following questions. Assume there is no waste in materials, and round off your answer to the next largest unit. Show both exact and rounded figures in the blanks provided.
if a customer wishes to open a cash account in his name only and allow a third party to make trading decisions but not withdraw cash and securities, he must instruct his broker-dealer to open
Why does Manjiro avoid telling Mr. and Mrs. Whitfieldabout being bullied?
to enhance the speed and effectiveness of decision making, kaia is restructuring her company's activities around related diversification. she plans to allow some of the work to be decentralized, while other aspects will be centralized. which type of organizational structure is kaia designing?
helllpppppppppppppp.
Use the slope formula to find the slope of the line through the points (8,6) and (0,7).
graciella is making a persuasive complaint at work. which of these examples illustrate how to convey a complaint logically, clearly, and unemotionally? a. for the past two weeks, fax machine no. 223- 51 has been unavailable to complete essential business for 25 of our employees due to incomplete service. please ensure our equipment is repaired by friday. b. if you can't be bothered with maintaining our equipment in good working order, how can i be confident that you care about your employees? i can't be bothered filing repeated repair requests either. c. did you realize that bill has still not fixed the fax in workroom 223 despite the work request i completed two weeks ago? make bill fix it!! d. i have put up with a broken fax in workroom 223 for three weeks, and i am just fed up with this waste of my time. repair the fax or else!