The **length** of the support when **Maria** is to weld a support for a 23-m conveyor is 7.87 m.

From the information, **Maria** is to weld a support for a 23-m conveyor so that it will operate at a **20 degree** angle.

Let AB = 23m

Let x = 20°

We can then use the sine rule to find the **length**. This will be illustrated thus:

Sin x = AC / AB

Sin 20° = AC / 23

AC = 23 × sin 20°

AC = 7.87

The **length** is 7.87m

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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:**

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.

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Borrowed $30000 four year loan at 7% what’s monthly payment? And what’s the intrest I will pay on loan?

**given:**

There are given that the Borrowed is $30000.

**Explanation:**

To find the monthly amount, we need to use the formula:

[tex]R=\frac{P}{1-(i+1)^{-n}}[/tex]Where,

[tex]\begin{gathered} P=30000 \\ r=0.07 \\ m=12\text{ Thenn} \end{gathered}[/tex][tex]\begin{gathered} i=\frac{r}{m}=\frac{0.07}{12} \\ =0.0058 \end{gathered}[/tex]Ans,

[tex]\begin{gathered} n=mt=12(4) \\ =48 \end{gathered}[/tex]Then,

From the formula:

[tex]\begin{gathered} R=\frac{Pi}{1-(1+i)^{-n}} \\ R=\frac{30000(0.0058)}{1-(1+0.0058)^{-48}} \\ R=\frac{30,000(0.0058)}{1-(1.0058)^{-48}} \\ R=\frac{30000(0.0058)}{0.24} \\ R=725 \end{gathered}[/tex][tex]\begin{gathered} S.I=\frac{P\times r\times t}{100} \\ =\frac{30000\times7\times4}{100} \\ =4800 \end{gathered}[/tex]**Final answer:**

Hence, **the monthly payment is $725 and the interest will be: $4800**

Round 18,792 to the nearest thousand is the answer 18,790 or 00019 or 00018 or 18800 please due today please give brainiest.

**Answer:**

The answer is 19,000

**Step-by-step explanation:**

18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9

**Answer:**

19000

**Step-by-step explanation:**

18,792

**Rounding to the nearest thousand**

The 8 is in the thousands place

We look at the number in the hundreds place, 7

It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros

18,792 becomes 19000

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.

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

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%

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

Gourmet in Italy has a policy of automatically adding an 18% tip to a restaurant bill. How much would a restaurant bill be if it had a tip of $3.20 added to it?

The restaurant charger a tip of the 18% of the bill

So the total amount charged is the money spent + 18%

The bill had a tip of $3.20 this is the 18% of the amount spent.

Using cross multiplication you can calculate the amount of the bill as:

Bill without tip: 100%

Tip: 18%

Total amount (bill + tip): 118%

If 18% ____ $3.20

Then 118%___$x

[tex]undefined[/tex]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)✅ .**

Selwyn wanted to place point V on the same number line to represent the opposite number of point W . Which instruction should he follow to place point V

**Move ten units to the left of point W.**

**1) ** Counting the marks on the number line, we can tell that Selwyn placed point V 5 units to the right of zero.

**2) ** Since we need to find the opposite number, we need to find the negative 5 ( -5). Hence, we need to:

**Move ten units to the left of point W.**

Because we need to remember that the reference is not zero but W.

PLEASEE I NEED HELP!!

Figure 3 can also be created by transforming figure 1 with a sequence of two transformations. Which statement describes a possible sequence of transformations that transforms figure 1 into figure 3?

A. a rotation 180 degrees clockwise about the origin, followed by translation 2 units to the left.

B. a rotation 90 degrees clockwise about the origin, followed by a reflection across the x-axis.

C. a rotation 180 degrees clockwise about the origin, followed by a reflection across the y-axis.

D. a rotation 90 degrees clockwise about the origin, followed by a translation 3 units to the right.

the correct answer is A. Option A **describes** a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left.

**What is triangle?**

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and **trigonometry**.

To transform figure 1 into figure 3, we need to apply two transformations. We can eliminate option B because a rotation of 90 degrees followed by a reflection across the x-axis would **transform** figure 1 into a mirror image of figure 2, not figure 3.

Option A describes a rotation of 180 degrees clockwise, which would result in figure 1 being upside down, and then a translation of 2 units to the left. This would transform figure 1 into figure 3, so option A is a possible sequence of transformations.

Option C describes a **rotation** of 180 degrees clockwise followed by a reflection across the y-axis. This would transform figure 1 into a mirror image of figure 2, not figure 3.

Option D describes a rotation of 90 degrees clockwise followed by a translation of 3 units to the right. This would transform figure 1 into a **position** that is similar to figure 3, but the orientation of the triangle would be different.

Therefore, the correct answer is A.

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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**

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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.

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If a 1/3 cup serving of cheese provides your fully daily value of calcium, then what percentage of your daily value of calcium is provided by 3/4 cup of the cheese?

If a **1/3** cup serving of cheese provides your full** daily** value of **calcium**, then **225%** of your **daily** value of calcium is provided by** ¾** cup of the cheese.

Between amounts of the same sort, the **ratio **should exist. The units used to **compare **two items should be comparable.

Terms should be in a meaningful sequence. If two **ratios **are comparable to one another like **fractions**, they may be compared.

When both sides are **whole **numbers and cannot be split by another

**whole **number, a **ratio **is considered to be in its simplest form.

Think about full **number **ratios, such as 6:4. The **fraction **64 can be used to represent it.

Daily value of calcium= (3/4)/(1/3) = **9/4**

**3/4** cup gives you 9/4 of your daily value of calcium.

We can convert **fractions **to percentages, we will get

9/4= **2.25**

2.25*100=**225%**

Then the **percentage **of your daily value of calcium is **225%**.

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The domain of a function f(x) is x< 4, and the range is y≤ 0. What are the

domain and range of its inverse function, f-¹ (x)?

A. Domain: x≤0

Range: y< 4

B. Domain: x<0

Range: y≤ 4

C. Domain: x24

Range: y> 0

D. Domain: x < 4

Range: y≤ 0

**Answer:**

**Step-by-step explanation:**

d

How could you correctly rewrite the equation 6(11-3) = 4(7 + 5) using the distributive property?

66-3 = 28 +35

**Answer:**

The formula for the distributive property is expressed as, a × (b + c) = (a × b) + (a × c );

**Step-by-step explanation:**

6(11-3) = 4(7 + 5)

(6×11)-(6×3)=(4×7)+(4×5)

66 - 18 = 28 + 20

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

f(x)=x^2+6x+7

f(x+h)=?

f(x+h)-f(x)=?

f(x+h)-f(x)/h=?

The **values **are;

f (x + h) = x² + 2xh + h² + 6x + 6h + 7

f (x + h) - f (x) = h² + 2xh + 6h

f (x + h) - f (x) / h = h + 2x + 6

**What is substitution method?**

Find the value of any one of the **variables **from one equation in terms of the other variable is called the** substitution method.**

Given that;

The **value **of the **function** is;

f (x) = x² + 6x + 7

Now, Find the given **values **of f (x + h) , f (x + h) - f (x) and f (x + h) - f (x) / h by **substitution method.**

The value of the **function **is;

f (x) = x² + 6x + 7

Substitute x = x + h;

The **value **of the **function **is;

f (x + h) = (x + h)² + 6(x + h) + 7

= x² + 2xh + h² + 6x + 6h + 7

Thus, The **value **of f (x + h) = x² + 2xh + h² + 6x + 6h + 7.

Now,

f (x + h) - f (x) = (x² + 2xh + h² + 6x + 6h + 7) - (x² + 6x + 7)

= x² + 2xh + h² + 6x + 6h + 7 - x² - 6x - 7

= h² + 2xh + 6h

Thus, The **value **of f (x + h) - f (x) = h² + 2xh + 6h.

Now,

f (x + h) - f (x) / h = h² + 2xh + 6h / h

= h (h + 2x + 6) / h

= h + 2x + 6

Thus, The **value **of f (x + h) - f (x) / h = h + 2x + 6.

Therefore, The **values **are;

f (x + h) = x² + 2xh + h² + 6x + 6h + 7

f (x + h) - f (x) = h² + 2xh + 6h

f (x + h) - f (x) / h = h + 2x + 6

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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 office floor is 250 ft. X 80 ft. The conference room floor is 50 ft. X 20 ft. , which covers __?__ of the office

The** percentage of area **covered by the conference room is **5%.**

A region's **size **on a **flat **or curved surface is expressed in terms of area, a unit of measurement. A **surface region **or plane area is the area of an open surface or the boundary of a **three-dimensional object, **whereas a plane region or area refers to the area of a form or planar lamina.

The quantity of unit squares necessary to completely encompass a form is its **area**. In order to express and measure it, **square **units are used.

Given, the dimension of office as

Length= 250 ft and breadth is 80 ft

**Area** of office = **length ×breadth** = 250 ×80 = 20,000

Length of conference room = 50 ft

Breadth of conference room = 20 ft

**Area** = 50 (20) = 1000

**Percentage** of office covered by conference room is given as:

1000/20000×100=5

Hence,** 5% **is occupied

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3. 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*

please quick I need this

**Answer:**

The remainder is [tex]4[/tex].

The quotient is [tex]3x^{2}+6x+1[/tex]

**Step-by-step explanation:**

**Step 1: Do long division**

To divide these expressions, we will have to make use of long division, which is shown in the picture.

**Step 2: Identifying the remainder and quotient**

The remainder is [tex]4[/tex].

The quotient is [tex]3x^{2}+6x+1[/tex]

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

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Please help me brainly!!!<3

True true false true true

HELP!

Do units affect significant figures? For example, I know that the number 5600 has two significant figures. But if I wrote it as 5600 L, would the unit "L" count as a sig fig? Please help me!!

I don’t believe that it would matter as L is just a variable/unit of measurement, it is not a number relative to the number it is describing.

The probability that an adult is actively looking for a job is 0.18. The probability of an adult being unemployed and actively looking for a job is 0.04. What is the probability of an adult being unemployed given that they are actively looking for a job?

The **probability** of an adult being **unemployed** given that they are actively looking for a job is 0.22.

It should be noted that **probability** gas to do with the likelihood that something will occur.

Remember the **multiplication** rule for conditional probability:

P(B AND A)=P(B|A)P(A)

Rearranging, we see thatP(B|A)=P(B AND A)P(A)

So if we think of A as being the **event** that an adult is **actively** looking for a job and B as the event that an adult is unemployed, then we can plug in the known information to find

P(B|A)=0.04 + 0.18

≈0.22

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help

fast 20 point

please

Answer is 2

x * 2 = y

x * 2 = y

**Answer:**

A. 2

**Step-by-step explanation:**

Hope this helps

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

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

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Evaluate : limx→ tan2-sin2x x3

Given:

[tex]\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}[/tex]Solve:

[tex]\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}[/tex]Use l'hopital's rule:

[tex]\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}[/tex]Simplify:

[tex]\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}[/tex]Apply the constant multiple rule:

[tex]\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}[/tex][tex]\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}[/tex]Similary :

[tex]\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}[/tex]
How would you increase the magnetic potential energy within the following system?
Jackson is comparison shopping for orange juice. He created a table to help him decide which package was the best deal.
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The step before presenting or submitting your paper for grading requires?
find the value or measure. Assume all lines that appear to be tangent are tangent. X=
Youre driving a car East on the 91 fwy for a total distance of 230 km. If it took you 2.3 hours to reach your destination, then what was your speed?What was GIVEN?
Write a descriptive paragraph of 5-7 sentences about your favorite food. (Spaghetti)Be sure to use sensory details and figurative language, suchas metaphors, similes, personification, and hyperbole in yourdescription.WILL MARK BRAINLIEST!!!
Brainliest if solved correctly
What should the reader study to make inferences about the personality traits of people in a text? select three answers. actions events setting thoughts words
Answer question number 3. The question is in the image.
How do u do question 1b. Explain fully because i only got one mark from my answer here:Nonmetals will not conduct electricity on their own, but nonmetals from group 7 are very electronegative, and they are very likely to make bonds with metals from group 1 and 2, and these bonds will likely be ionic bonds, in which we have ions involved, and this is the case when we have conductivity, so if Bromine form a bond with metals, it will make ions and these ions when dissociated in a solution will cause the solution to conduct electricity.