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.

on the unit circle., in standard position an angle of which measure is coterminal with an angle that measures 3pi/5 radians

Coterminal angles are angles with the same terminal sides.

[tex]\theta\rightarrow\theta+2\pi\rightarrow\theta-2\pi[/tex]For the given angle, the coterminal angles are;

[tex]\begin{gathered} \theta=\frac{3\pi}{5} \\ \theta+2\pi=\frac{3\pi}{5}+2\pi=\frac{3\pi}{5}+\frac{10\pi}{5}=\frac{13\pi}{5} \\ \theta-2\pi=\frac{3\pi}{5}-2\pi=\frac{3\pi}{5}-\frac{10\pi}{5}=-\frac{7\pi}{5} \\ \theta+2(2\pi)=\frac{3\pi}{5}+4\pi=\frac{3\pi}{5}+\frac{20\pi}{5}=\frac{23\pi}{5} \end{gathered}[/tex]From the given answer choices, **the coterminal angle is;**

A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after m minutes is modeled by the function Which graph represents the model?

The **graph **of the **exponential function** that represents the temperature of the pizza after m minutes is given at the end of the answer.

The **model **that represents the temperature of the pizza m minutes after it is taken out of the oven and placed on the counter is given by:

[tex]T(m) = 72 + 200e^{-0.0445m}[/tex]

The number e is the Euler number, and the function is the exponential function translated 72 units up, hence the **minimum **value that the pizza obtains is of 72 degrees Fahrenheit.

Due to the negative exponent, the **temperature **is decaying over time, but it never gets less than 72 ºF.

The time cannot be negative, hence the **domain **of the graph is given as follows:

m ≥ 0.

Then, considering this, the **graph **of the function is given at the end of the answer.

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**Answer:**

**Step-by-step explanation:**

a

Can someone please help me with this (there is a part two)

Part A)

Let **x** be a **number of horses **that Sunshine Acre Farm can support. Since **each horse** needs **1.75 acres** of pasture, and the farm has **at most 35 acres** of pasture available, then we can set the following inequality:

**Answer Part A)**

help help help help help help help

The total **capacity **of her **tank **would be; 21 gallons.

If an **event **can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in **succession **can occur in m × n **different ways**.

Given that **Leslie **makes a stop at a **gas station**. she put 14 gallons into her tank. if the **tank **is now 2/3 full.

Let c be the total **capacity **of the tank.

Then, we can find the **capacity **of her tank;

c x 2/3 = 14

**Cross multiplication**;

c = 14 x 3/2

c = 7 x 3

c =21

Hence, the total **capacity **of her **tank **would be; 21 gallons.

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Suzanne's salary grew from $40,000 in 2000 to $56,000 in 2021. during the same time period, Mike's salary grew form $38,000 to $53,000. Whose salary grew more in absolute change? In percentage change?

Absolute change (AC) refers to the simple difference in the indicator over two periods. that is

[tex]\begin{gathered} \text{AC (Suzanne)=56000-40000} \\ \text{AC (Suzanne)=16000} \end{gathered}[/tex]and, for Mike:

[tex]\begin{gathered} \text{AC (Mike)=53000-3}8000 \\ \text{AC (Mike)=1}5000 \end{gathered}[/tex]**Whose salary grew more in absolute change? Suzanne's salary.**

The relative change (RC) express the absolute change as a pencentage of the value of the indicator in the earlier period:

[tex]RC=\frac{value\text{ 2nd period - value 1st period}}{\text{value 1st period}}\times100[/tex]For Suzanne, we have

[tex]\begin{gathered} RC(\text{Suzzane)}=\frac{56000-40000}{56000}\cdot100 \\ RC(\text{Suzzane)}=\frac{16000}{56000}\cdot100 \\ RC(\text{Suzzane)}=0.286\cdot100 \\ RC(\text{Suzzane)}=28.6 \end{gathered}[/tex]and for Mike, we have

[tex]\begin{gathered} RC(\text{Mike)}=\frac{53000-28000}{53000}\cdot100 \\ RC(\text{Mike)}=\frac{15000}{53000}\cdot100 \\ RC(\text{Mike)}=0.283\cdot100 \\ RC(\text{Mike)}=28.3 \end{gathered}[/tex]**In percentage change? For Suzanne is 28.6% and for Mike 28.3%**

**Answer: Mike's salary grew from $ 38,000 to $ 53,000.**

**Step-by-step explanation:**

HELP PLSSSSSSSSSSSSS

**Answer:**

the volume of the toy house is 66cm3

jerry had 3409 pieces of marble he swallowed 1290 then is mom brought his 3456 more. How much does jerry have?

Answer: 5575 Marbles

Step-by-step explanation:

This can be solved simply by subtracting and adding.

3409-1290=2119

2119+3456=5575

Simplify −3(x+4)+5x Write your answer in factored form

**Answer:-3x - 12 + 5x**

**Step-by-step explanation:**

A client of Susan's has asked her to create a new wood floor for his living room. The design will be created by laying wood strips in different directions, as shown on the coordinate grid. Determine whether Quadrilateral can best be described as a trapezoid, a rhombus, a rectangle, or a square. Explain your reasoning.

**Answer: Where's the graph**

**Step-by-step explanation:**

mr. Smith took out a 54200 car loan at 10.2% compounded annually what would the interest be after 4 years

The compounded loan means that in the first year the 10.2% of interest is add to the initial 54200 and that value generate the next year the 10.2%

then in the **first year** the interest will be:

You use a rule of three:

[tex]\text{1st}=\frac{54200\cdot10.2}{100}=5528.4[/tex]As the **first year the interest is 5528.4**

To the **second year** that sum is added to the 54200 to get the interest:

**Third year:**

**Fourth year:**

**After 4 years:**

How do I write this in function notation part b

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

Total rice bought is 75kg

Each week, he used 4.5kg, this means in w weeks, he will use:

[tex]4.5\times w=4.5w[/tex]**STEP 2: Get the remaining kilograms of rice after w weeks**

**This will be gotten by using the function below:**

**Hence, the function will be gotten as:**

Which expressions can be used to find m∠ABC? Select two options.

cos−1(StartFraction 9.8 Over 6.3 EndFraction)

cos−1StartFraction 6.3 Over 9.8 EndFraction)

cos−1(StartFraction 7.5 Over 9.8 EndFraction)

sin−1(StartFraction 9.8 Over 7.5 EndFraction)

sin−1(StartFraction 7.5 Over 9.8 EndFraction)

]

The **expressions** which can be used to find m∠ABC and from the task content are;

It follows from the task content that the expressions which can be used to find m∠ABC are to be identified among the answer choices.

Since, it follows from **trigonometric ratios **that;

Sin theta = opposite/hypothenuse

Cos theta = adjacent/hypothenuse

It therefore follows that;

Cos(m∠ABC) = 6.3/9.8Sin(m∠ABC) = 7.5/9.8Therefore, the **measure** of angle **ABC** can be determined using any of the formulas above;

Therefore the two expressions which can be used to find **m∠ABC** are;

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**Answer: the answer is B **[tex]cos^{-1}(\frac{6.3}{9.8}) sin^{-1}(\frac{7.5}{9.8})[/tex]

**Step-by-step explanation: it will be show below.**

I need help on what the question is asking. Can you help me solve it step by step?

**Given:**

The total number of tamiliies is *N *= 30.

The objective is to find the mean number of gallons of milk consumed by 30 families.

**Explanation:**

The total number of milk consumed consumed by 30 families can be calculated as,

[tex]\begin{gathered} T=(8\times3)+(9\times2)+(13\times5) \\ =24+18+65 \\ =107 \end{gathered}[/tex]**To find mean:**

The mean number of gallons of milk can be calculated as,

[tex]M=\frac{T}{N}[/tex]On plugging the obtained values in the above equation,

[tex]\begin{gathered} M=\frac{107}{30} \\ =3.56666\ldots\text{.} \\ =3.6 \end{gathered}[/tex]**Hence, the mean number of milk consumed by 30 families is 3.6 gallons.**

This is a Statistics question. Please Help

Considering the **normally distributed** variable, the proportion/percentage are given as follows:

**a) **Proportion of serves faster than 121 mph: 0.16.

**b) **Percentage of serves between 109 and 133 mph: 84%.

The **z-score** of a **measure X** of a variable that has **mean **[tex]\mu[/tex] and **standard deviation **[tex]\sigma[/tex] is given by the following equation:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-scoreAs stated in the problem, the **mean **and the **standard deviation** of the serve speeds are given as follows:

[tex]\mu = 115, \sigma = 6[/tex]

The **proportion **of serves **faster **than 121 mph is one subtracted by the p-value of Z when X = 121, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (121 - 115)/6

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587, which is the desired proportion.

The proportion of serve speeds **between **109 and 133 mph is the p-value of Z when X = 133 subtracted by the p-value of Z when X = 109, hence:

**X = 133:**

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (133 - 115)/6

Z = 3

Z = 3 has a p-value of 0.9987.

**X = 109:**

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (109 - 115)/6

Z = -1

Z = -1 has a p-value of 0.1587.

0.9987 - 0.1587 = 0.84, hence the **percentage **is of 84%.

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5

6

Z

1

23

4.

75°

7

y

13 16

14 15

9 12

11

10

x

w

What is mZ2?

What is m1?

**Answer: **[tex]m\angle 2=75^{\circ}, m\angle 1=105^{\circ}[/tex]

**Step-by-step explanation:**

By the alternate interior angles theorem, [tex]m\angle 2=75^{\circ}[/tex].

Using linear pairs, [tex]m\angle 1=105^{\circ}[/tex].

Write a cosine function that has an amplitude of 3, a midline of 5 and a period of 3/4. .

A cosine function is said to have an amplitude of 3, a midline of 5, and a period of 3/4.

It is required to write the cosine function.

Recall that the standard form of a cosine function is:

[tex]y=a\cos(bx+c)+d[/tex]Where **a** is the amplitude, **2π/b** is the period, c is the horizontal shift, and **d** is the midline or vertical shift.

Equate the given period to **2π/b** and solve for **b**:

Hence, substitute **a=3, b=8π/3, **and **d=5** into the standard form of the cosine function:

Since it is not given that the cosine function has a horizontal shift, substitute **c=0 **to get the required function**:**

**The function is y=3cos((8π/3) x)+5.**

All of the triangles below have a base to height ratio of 5:2. Label the missing dimensions

**ANSWER:**

1. b = 5

2. h = 6

3. b = 30

**STEP-BY-STEP EXPLANATION:**

We know the ratio between height and base.

By means of the following proportions we can determine the missing dimensions in each case:

[tex]\begin{gathered} \frac{5}{2}=\frac{b}{h} \\ \\ \text{ 1st triangle} \\ \\ \frac{5}{2}=\frac{b}{2}\rightarrow b=5 \\ \\ \text{ 2nd triangle} \\ \\ \frac{5}{2}=\frac{15}{h}\rightarrow h=\frac{15}{5}\cdot2\rightarrow h=6 \\ \\ \text{ 3rd triangle} \\ \\ \frac{5}{2}=\frac{b}{12}\rightarrow b=12\cdot\frac{5}{2}\rightarrow b=30 \end{gathered}[/tex]The area of a large plantation is eleven and seven hundredths kilometers. The length of the plantation is one tenth kilometers. How many kilometers is the width of the plantations?

The **width** of the **plantation** is 110. 7 kilometers

It is important to note that the formula for calculating the **area** of a **rectangle** is expressed as;

Area, A = lw

Where;

A represents the area of the rectanglel is the length of the rectanglew is the width the rectangleGiven that;

The value of the area of the large plantation is eleven and seven hundredths kilometers.

This is expressed as;

Area = 11. 07 kilometers

The value of the length is one tenth kilometers.

This is expressed as;

Length = 1/10 kilometers = 0. 1 kilometers

Now, substitute the values into the formula to determine the width

11. 07 = 0. 1w

Divide both sides by the coefficient of w, w have;

11.07/0.1 = 0.1w/0.1

Find the quotient

w = 110. 7 kilometers

Hence, the **value**** **is 110. 7 kilometers

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Please Answer Fast

Write down the next two terms in these quadratic sequences:

9, 13, 19, 27, ___, ___

-5, 0, 9, 22, ___, ___

The next two terms of the first **quadratic sequences** are 37 and 49.

The next two terms of the second **quadratic sequences** are 39 and 60.

A** quadratic sequence** is a sequence in mathematics where the second difference between consecutive terms in the sequence is the same

The first step is to determine the relationship between the terms in the **quadratic sequence.**

The difference between 9 and 13 = 13 - 9 = 4

The difference between 19 and 13 = 19 - 13 = 6

The difference between 27 and 19 : 27 - 19 = 8

It can be seen that the first difference between the terms in the sequence **quadratic sequence **increases by 2.

The difference between the fourth term and the fifth term would be 8 + 2 = 10

Fifth term = 27 + 10 = 37

The difference between fifth term and the sixth term would be 10 + 2 = 12

37 + 12 =49

The first step is to determine the relationship between the terms in the **quadratic sequence.**

The difference between 0 and -5 : 0 - -5 = 5

The difference between 0 and 9 = 9 - 0 = 9

The difference between 9 and 22 = 22 - 9 = 13

Based on the first difference between the consecutive terms in the digit, it can be seen that the first difference increase by a value of 4.

The difference between the fourth term and the fifth term would be : 13 + 4 = 17

Fifth term = 22 + 17 = 39

The difference between fifth term and the sixth term would be 21 ( 17 + 4)

39 + 21 = 60

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112Calculate and simplify as much as possible theperimeter and area of the largest figure. All four-sided figures are rectangles.9Perimeter =рArea =

SOLUTION:

Step 1:

In this question, we are meant to solve the following:

Step 2:

**The perimeter of the largest figure is:**

**On the other hand, the area of the largest figure is:**

if h(x, y) moves 12 units to the left and 4 units up. what is the rule that describes this translation .

Answer:

(x,y) -> (x-12, y+4)

Step-by-step explanation:

(x,y) -> (x-12, y+4)

Which equation shows the inverse property of multiplication?

**Answer:**

What are the outstanding traditional Chinese culture?

1. Drama is a general term for stage performing arts that achieve narrative purposes in the form of language, movement, dance, music and puppets.

2. Chinese painting, originated in the Han Dynasty, mainly refers to the scroll painting painted on silk, rice paper and silk and mounted.

3, Calligraphy, calligraphy is a unique form of artistic expression of the beauty of Chinese characters in China and the surrounding countries and regions that have been deeply influenced by Chinese culture.

4, Shadow Puppets, also known as "Shadow Puppets" or "lantern Puppets", is a kind of folk drama made of animal skins or cardboard silhouettes to perform stories.

5. Pingju, which is popular in northern China, is one of the traditional operas of the Han nationality and one of the most popular operas among the people. It ranks among the five kinds of operas in China.

URGENT Please help!!!!!!

Divide 6.1 x 1020 by 3.2 x 105. Express your answer in scientific notation.

The **value **of the **division **of the **expression **will be; 19.52 x 10^{25}.

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most **important **figure for which scientific **notation **is used. It tells us how much order large or small a value is in **powers **of 10.

**Scientific notations **have some of the profits; Better **readability **due to compact representation that value in terms of **power **of 10 is known, which helps in easy comparison of **quantities **differing by a large value.

Given the **expression **as 6.1 x [tex]10^{20}[/tex] by 3.2 x 10⁵

We have to **divide **the expression

( 6.1 x [tex]10^{20}[/tex] ) / (3.2 x 10⁵)

= 19.52 x [tex]10^{20 + 5}[/tex]

= 19.52 x [tex]10^{25}[/tex]

Therefore, the **value **of the **division **of the **expression **will be; 19.52 x [tex]10^{25}[/tex].

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Social Security is 6.2% of the first $97,500. Medicare is 1.45% of all income.

The state tax is 2% of gross pay, and the local tax is 1.5% of gross pay.

7.) Orville Staples is a painter who earns $30,000.00 a year. He is single and claims 3 allowances. Weekly deductions include $34.50 for medical insurance and union dues of $15.00.

Please calculate Federal Income Tax, Social Security Tax, Medicare Tax, State Tax & Local tax. Please show work.

The **deductions **for the taxes are given as follows:

To calculate the taxes, we have to consider his** gross pay**, which is given in the text as follows:

Gross pay = $30,000.

The** Federal Income** Tax for people in his income range is of $1,027.50 plus 12% of the amount over $10,275, hence:

Federal Income Tax = 1027.50 + 0.12 x (30000 - 10.275) = $4,626.27.

The **Social Security** tax is of 6.2% of his salary, hence:

Social Security Tax = 0.062 x 30000 = $1,860.

The **Medicare **tax is of 1.45% of his salary, hence:

Medicare Tax = 0.0145 x 30000 = $435.

The **State Tax **is of 2% os his salary, hence:

State Tax = 0.02 x 30000 = $600.

The **Local Tax** is of 1.5% of his salary, hence:

Local Tax = 0.015 x 30000 = $450.

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13) y = 4x - 3 -8x + 6y = 14

[tex]\begin{gathered} y=4x-3 \\ -8x+6y=14 \end{gathered}[/tex]

Replacing y in the second equation

[tex]\begin{gathered} -8x+6(4x-3)=14_{} \\ -8x+24x-18=14 \\ 16x=14+18 \\ 16x=32 \\ x=\frac{32}{16} \\ x=2 \end{gathered}[/tex]Then

[tex]\begin{gathered} y=4(2)-3 \\ y=8-3 \\ y=5 \end{gathered}[/tex]Just checking our answer

[tex]-8(2)+6(5)=-16+30=14[/tex]So the correct answer is x=2 and y=5

Suppose a person's score on a personality test that is normally distributed with a mean of 50 and a standard deviation of 10. If you

were to pick a person completely at random, what is the probability that you would pick someone with a score on this test higher than 70?

**Answer:**

2.28%

**Step-by-step explanation:**

P(X > 70) = 1 - Ф((70 - 50)/10) = 0.0228 = 2.28%

contains (1,1) and has a shape of f(x)=2x^2 vertex is on the y axis

ANSWER

| x=0

**Step-by-step explanation:**

f(x) = 2x²

Rewrite the function by completing the

square

f(x)

= 2x²

Find the symmetry

X = 0

How many ounces of yogurt does the carton hold? (Hint: 1 ounce equals 1.805 in.³) round to the nearest tenth as needed

Answer:

The carton holds 8.9 ounces of yoghurt

Explanation:The upper diameter, D = 2 in

R = D/2

R = 2/2

The upper radius, R = 1 inch

[tex]\begin{gathered} \text{The lower diameter, d= 2}\frac{7}{16}\text{ in = }2.4375 \\ \text{The lower radius, r = }\frac{d}{2}=\text{ }\frac{2.4375}{2}in\text{ = }1.22\text{ in} \end{gathered}[/tex]The height, h = 3 in

The volume of the cone frustrum is:

[tex]\begin{gathered} V=\frac{1}{3}\pi h(R^2+r^2+Rr) \\ V=\frac{1}{3}\times3.142\times3(1^2+1.22^2_{}+1.22(1)) \\ V=3.142(3.7084)) \\ V=11.65in^3 \end{gathered}[/tex]1.805 in.³ = 1 ounce

11.65in.³ = 11.65/1.805 ounce

11.65in.³ = 6.5 ounces

The carton holds 6.5 ounces of yoghurt

many of these boxes do you need to buy?you need to buy 40 packsExample 2.At a restaurant one day. 60 sandwiches were sold in all, some on rye bread and 28 onwhite bread. The number of sandwiches sold on try bread was twice the number soldthe day before. How many sandwiches on rye bread were sold the day before"?

rye bread sandwiches + white bread sandwiches = total number of sandwiches

rye bread sandwiches + 28 = 60

rye bread sandwiches = 60 - 28

rye bread sandwiches = 32

This number, 32, is twice the day before, that is, the day before was half of 32 sandwiches, which is 32/2 = 16.

**The day before, 16 sandwiches on rye bread were sold.**

Finding a difference quotient for a linear or quadratic function

Answer:[tex]-4x-2h-3[/tex]Explanations:

**Given the function **

We are to look for **the difference quotient:**

**Get f(x + h)**

**Given f(x) **expressed as:

**Substitute both functions into the difference quotient;**

**Factor out "h"** from the result to have

This shows that **the simplified form of the expression is -4x - 2h - 3**

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