**Answer:**

**being smart**

**Step-by-step explanation:**

to answer this question get offline and get out your fingers and count

S is the midpoint of segment OU. OS= 7x-9 and SU=4x+3. Determine the length of segment OU.

**Answer:**

The equation for the value of OU is;

[tex]OU=11x-6[/tex]**Explanation:**

Given that S is the midpoint of segment OU.

Then;

[tex]OU=OS+SU[/tex]Given in the question;

[tex]\begin{gathered} OS=7x-9 \\ SU=4x+3 \end{gathered}[/tex]Substituting the values of OS and SU to get OU;

[tex]\begin{gathered} OU=OS+SU \\ OU=7x-9+4x+3 \\ OU=7x+4x-9+3 \\ OU=11x-6 \end{gathered}[/tex]Therefore,** the equation for the value of OU is;**

question shown in picture below!!(i only need the 2nd one)

Given the following sequence:

[tex]\mleft\lbrace17,14,11,8,\ldots\mright\rbrace[/tex]notice that the common difference between each term is -3, therefore, we can use the explicit formula for a sequence:

[tex]\begin{gathered} a_n=a_1+(n-1)\cdot d \\ d=-3 \\ a_1=17 \\ \Rightarrow a_n=17+(n-1)(-3) \\ \Rightarrow a_n=17-3n+3=20-3n \\ a_n=20-3n \end{gathered}[/tex]we have that the explicit formula is a_n=20-3n, while the recursive formula is:

[tex]\begin{gathered} a_n=a_{n-1}+d \\ d=-3 \\ \Rightarrow a_n=a_{n-1}-3 \end{gathered}[/tex]4 thousands +12 hundreds =

**Answer:**

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

4000

4000+

4000+120

4000+120=

Answer is 4,120

(4,000+120=4,120)

4000+

4000+120

4000+120=

Answer is 4,120

(4,000+120=4,120)

Determine the odds against rolling a 4 on one roll

of a die.

Solution

P(4)=1

6

5

P (fails to roll a 4)=-

6

**Answer:**

1/6

**Step-by-step explanation:**

SIX possible rolls 1,2,3,4,5,6

4 is 1 out of 6 or 1/6

I need help with the question above. I took a picture of it.

**The answer is: It will be a line.**

how do I find the given z score

The formula for calculating a z-score is

[tex]z=\frac{x-\mu}{\sigma}[/tex]Where:

*x is the raw score

*μ is the population mean

*σ is the population standard deviation

1. A piece of power transmission equipment is being designed. The design includesa set of three different meshed gears with a total of 107 teeth between them. If thesecond gear has 13 more teeth than the first gear. The third gear has 15 more teeththan the second gear.How many teeth does the second gear have?

[tex]x+y+z=107[/tex]

where x is the first, y the second and z the third

*the second gear has 13 more teeth than the first gear*

*The third gear has 15 more teeth than the second gear*

we need solve z form the third equation and solve x from the second equation an replace on the first

[tex]\begin{gathered} z=y+15 \\ x=y-13 \end{gathered}[/tex]replacing

[tex]\begin{gathered} (y-13)+y+(y+15)=107 \\ y-13+y+y+15=107 \\ 3y+2=107 \\ 3y=105 \\ y=35 \end{gathered}[/tex]so, the second gear have 35 teeth

Roseanne makes 1 1/2 of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Roseanne's brother drink? Which expression can be used to determine the amount of lemonade Roseanne's brother drank? A. 1 1/2 - (1/4 x 2/5) B. (1 1/2 + 1/4) x 2/5 C. (1 1/2 - 1/4) x 2/5 D. (1 1/2 - 1/4) ÷ 2/5

we know that

the total lemonade is 1 1/2 liter

She pours 1/4 of a liter of lemonade into a thermos

Her brother drinks 2/5 of the remaining lemonade

the remaining lemonade is equal to

1 1/2-1/4=3/2-1/4=5/4 liters

Multiply by 2/5

(5/4)(2/5)=10/20=1/2 liter

therefore

answer is option

**C. (1 1/2 - 1/4) x 2/5**

Perform the following division and write the quotient in trigonometric form. Write the magnitude in exact form. Write the around it to two decimal places if necessary.8i4 + 5i

SOLUTION

The given complex expression is:

[tex]\frac{-8i}{4+5i}[/tex]Rationalize the denominator

This gives

[tex]\begin{gathered} \frac{-8i}{4+5i}\times\frac{4-5i}{4-5i} \\ =\frac{-32i-40}{16+25} \\ =-\frac{40}{41}-\frac{32i}{41} \end{gathered}[/tex]The half life of iron-59 is 44.5 days. How much of

a 50g sample would remain after 178 days?

**Answer:**

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

**explanation:**

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week. After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228.

a. What was the original amount Emery borrowed?

b. How much does she pay each week?

c. How useful are equations in point-slope and slope-intercept forms for answering each question?

The $456 and $228 Emery **owed **from the amount she **borrowed** to **buy** a new **phone** after 2 **weeks** and 5 weeks gives;

a. The original amount owed is $608

b. Emery pays $76 each week

c. The point and slope and slope and intercept both gives the amount Emery pays each week as the slope, while the slope and intercept form further gives the original amount borrowed as the y–intercept, *c*

A **straight line equation** is one which expresses a **linear** **relationship** between variables

Let y represent the **original amount** of **money** Emery borrowed from her brother, and let *m* represent the **amount** she pays each week to settle the **loan**, we have;

The given parameters are;

The amount Emery owes after 2 weeks = $456

The amount Emery will owe after 5 weeks = $228

a. The above information can be expressed by writing the following equations;

456 = y - 2•m...(1)

228 = y - 5•m...(2)

Subtracting equation (2) from equation (1) gives;

y - 2•m - (y - 5•m) = 456 - 228 = 228

3•m = 228

Therefore;

m = 228 ÷ 3 = 76

m = 76

The original amount Emery borrowed, *y*, from equation (1) is therefore;

y = 456 + 2•m

y = 456 + 2 × 76 = 608

The original amount Emery borrowed, *y*, is $608

b. The amount Emery pays each week, *m** *= $76

c. The straight line equation in **point** and **slope** **form** is presented as follows;

[tex] y_2 - y_1 = m•(x_2 - x_1) [/tex]

From the above equation, the two points (456, 2) and (228, 5) given in the question can be used to find the slope, *m*, which is the amount paid each month

The slope and intercept form of a straight line equation is *y *= m•x + c

From the slope and intercept form, we have;

The slope, *m *= The amount Emery pays per month

The intercept, *c *= The original amount Emery borrowed

Therefore, both forms of the straight line equation gives the amount Emery pays each week, while the slope and intercept form also gives the original amount Emery borrowed

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Which of the following would result in an integer?

O a.) 120

O b.) √144

O c.) √52

O d.) √24

The **answer** is either **Option (a)** or **option(b)** or **both** the options i.e, 120 or √144

**What is Integer ?**

An **integer** is a whole number from the set of -ve , non-negative , +ve and 0 numbers.

Let's see how both the option is correct

we know, **integers** are 0,1, 2, 3, .... or -1, -2 , -3 ......

Means the number which is **not** in fraction or decimal value or root.

so, by seeing option(a) we can say it's an **integer**

but in option(b) it's the root so how it is **integer**

The answer is simple it's **perfect square** of 12 so √144 = 12 so that means it have the value which is **not** in fraction. By that we can say that **option(b) **is also an **integer**

Now, in option(c) and (d) they are **not** the perfect square and their root results in decimal values. so we cannot tell them as an **integer** value.

Hence, the **answer** is either **Option (a) **or **option(b)** or **both** the options.

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if the sum of the first three terms of a GP is half it's sum to infinity. find it's positive common ratio.

**Answer:**

See below

**Step-by-step explanation:**

Sum of n = inf = a / ( 1-r) one half of this = 1/2 ( a/(1-r) )

Sum of first 3 terms = a ( 1- r^n) / ( 1-r) = a (1-r^3) / (1-r)

The underlined value are equal ( given in the Q)

1/2 a / (1-r) = a ( 1-r^3) / (1-r) Multiply both side by ( (1-r) )

1/2 a = a ( 1-r^3) divide both sides by a

1/2 = 1- r^3 subtract 1 from both sides

-1/2 = - r^3

1/2 = r ^3

r = cuberoot ( 1/2) = ** 1/2 ^(1/3) = .793700526**

Translate Pre image coordinates right 14 units and up 13 units.

We will have the following:

We translate the points:

A(-12, 3)

B(-6, -3)

C(-12, -9)

The transformation rule is (x, y) -> (x + 14, y + 13); so:

A'(2, 16)

B'(8, 10)

C'(2, 4)

in a 30 16 90° triangle given the short leg equals five find the long leg of the triangle

In a 30-60-90 triangle:

[tex]\begin{gathered} Hypotenuse_{\text{ }}=_{\text{ }}2\cdot short_{\text{ }}length \\ Long_{\text{ }}length=\sqrt[]{3}\cdot short_{\text{ }}length \\ \end{gathered}[/tex]so:

[tex]\begin{gathered} Long_{\text{ }}length=\sqrt[]{3}\cdot5 \\ Long_{\text{ }}length=5\cdot\sqrt[]{3}\approx8.66 \end{gathered}[/tex]given the preimage coordinates complete the translation provide and give the image Coordinates

The coordinates are made up of an x-coordinate and a y-coordinate, written in the form (x, y), the translation given is (x + 1, y - 1), which means adding +1 to all x-coordinates and subtracting -1 to all y-coordinate.

Then, the pair B(0, -4) will be transformed into B'(0 + 1, -4 - 1) → **B'( 1, -5)**

C( -1, 1) → C' (-1 + 1, 1 - 1) → **C'( 0, 0)**

D( 1, 3) → D' ( 1 + 1, 3 - 1) → **D'( 2, 2)**

E( 4, -1) → E' ( 4 + 1, -1 - 1) → **E'( 5, -2)**

please help and could u give all the steps if there’s more after this thank you so much

Angle IJL is 54 because **congruent angles** have equal measure.

**What are congruent angles?**

**Congruent angles** are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the **congruence of angles**, which means they can be acute, obtuse, exterior, or interior angles.

According to question, angle m IKL = 54

And AB// CD and EF// GH

Angle IKL is alternate **interior angle** to angle HLK

m angle HLK= m angle IKL (**congruent angles** have equal measure)

m angle HLK= 54

Similarly, m angle IJL = m angle HLK

Hence, angle IJL= 54

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Ainsley had 3 yards of string. She used 1/4 yard for a project. She wants to divide the rest into pieces 5/6 yard long. How many pieces can she make?

She can make 3.3 **pieces **from the **remaining **length

From the question, the given parameters are:

Length of string = 3 yardsAmount used for project = 1/4 yardLength of each piece = 5/6 yardWe start by calculating the **length **of the remaining **pieces **as a whole

This is calculated as

Length of remaining piece + length used for project = Length of string

Substitute the known values in the above **equation**

So, we have

Length of remaining piece + 1/4 yard = 3 yards

Subtract 1/4 from both sides

Length of remaining piece = 2.75 yards

The **number **of **pieces **is then calculated as

Pieces = Length of remaining pieces/Length of each piece

This gives

Pieces = 2.75 yards/(5/6 yards)

Evaluate the quotient

Pieces = 3.3

Hence, the number of **pieces **she can make is 3.3

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2 5 4 Q Find the area of the shaded region above.

As you can see in the given figure, there are two different shapes.

One is a **rectangle** and the other is a **triangle**.

Recall that the **area of a rectangle** is given by

Where **L** is the **length** and **W** is the **width**.

As you can see from the figure,

**W = 4**

**L = 5**

So the area of the rectangle is

[tex]A_R=L\cdot W=5\cdot4=20[/tex]Recall that the **area of a triangle** is given by

Where **b** is the **base** of the triangle and **h** is the **height** of the triangle.

As you can see from the figure,

**b = 4**

**h = 2**

So the area of the triangle is

[tex]A_T=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot4\cdot2=\frac{1}{2}\cdot8=\frac{8}{2}=4[/tex]Now the total area of the shaded region is the sum of the area of the rectangle and the area of the triangle.

[tex]A=A_R+A_T=20+4=24[/tex]**Therefore, the area of the shaded region is 24 **

If you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit.

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can you give me some examples of how to simplify

Let's check out the expression

[tex]2x+4+6y+7+2+3x[/tex]To simplify, you have to **add up similar terms. **That is, add up everything that has an x, add up everything that has a y, and add up every independent term (no variable), as following:

And there we have the simplified expression.

A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted. After 3 years, the population had grown to 270 wolves. If the population grows exponentially, then at what annual rate is the population growing? Round the answer to the nearest tenth of a percent.

**The population is growing at an annual rate of 16.2%**

Here, we want to calculate the exponential growth rate

Mathematically, we can write the exponential equation of growth as follows;

[tex]\begin{gathered} P=I(1+r)^t \\ \\ \end{gathered}[/tex]Where P is the population after a certain number of years ( 270 after 3 years

I is the initial popultaion which is 200

r is the percentage we want to calculate

t is the number of yeats to reach P which is 3 in this case

[tex]\begin{gathered} 270=200(1+r)^3 \\ (1+r)^{3\text{ }}\text{ = }\frac{270}{200} \\ \\ (1+r)^3\text{ = 1.35} \\ \\ 1\text{ + r = }\sqrt[3]{1.35} \\ \\ 1\text{ + r = 1.162} \\ \\ r\text{ = 1.162 - 1} \\ \\ r\text{ = 0.162} \end{gathered}[/tex]To the nearest tenth of a percentage, this is 16.2%

what is the shape of a cross section that is perpendicular to the basis

If we get the cross section perpendicular to the base of this image, we would get the same shape as the image.

Through the diagram, we can see that if we cut the image to get the cross section perpendicular to its base, we would get the same shape as the image, which is a pentagon.

The formula for the area of a triangle is A = -bh, in which b represents the length of the base and h2represents the height. If a triangle has an area of 115 mm2 and the height is 10 mm, what is the measureof the base?The measure of the base ismm.

The formula for the area of a triangle is A is;

Evaluate: base 6 exponent 0

**Answer:**

1

**Explanation: **

Given:

[tex]6^0[/tex]To evaluate the expression above, apply the law of indices below.

[tex]a^0=1,a\neq0[/tex]That is, **whenever a number (except 0) is raised to the power of 0, the result is always 1.**

Therefore:

[tex]6^0=1[/tex]twice the difference of a number 4 is 5.

**Answer:25**

**Step-by-step explanation:**

Which of the following lists of data has the largest standard deviation? Hint: you should not need to compute the standard deviation for each list.Select the correct answer below:22, 25, 25, 22, 25, 23, 24, 23, 26, 2413, 11, 11, 11, 10, 14, 14, 10, 11, 1116, 14, 15, 15, 16, 16, 15, 16, 18, 1425, 23, 25, 22, 21, 25, 22, 21, 25, 237, 14, 19, 18, 4, 16, 5, 11, 11, 12

**Answer:**

7, 14, 19, 18, 4, 16, 5, 11, 11, 12

**Explanation: **

The standard deviation is a statistic that measures the spread of a dataset relative to its mean.

From the given options, find the range in each of them:

[tex]Range=Highest\;Value-Lowest\;Value[/tex]• Option 1: Range = 26-22=4

,• Option 2: Range=14-10=4

,• Option 3: Range=18-14=4

,• Option 4: Range = 25-21=4

,• Option 5: Range = 19-4=15

We see that the dataset in Option 5 has a far greater range and thus the dataset will have the biggest spread relative to its mean.

**Option 5 has the largest standard deviation.**

Z divided 12 equal 9

**Answer:**

108

**Step-by-step explanation:**

12×9=108

just for the extra characters

**Answer:**

108

**Step-by-step explanation:**

z/12 = 9

z = 9 × 12

z = 108

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The table shows a proportional relationship.

x 12 8 24

y 3 2 6

Describe what the graph of the proportional relationship would look like.

A line passes through the point (0, 0) and continues through the point (3, 12).

A line passes through the point (0, 0) and continues through the point (2, 8).

A line passes through the point (0, 0) and continues through the point (6, 24).

A line passes through the point (0, 0) and continues through the point (12, 3).

A **graph** of which best describes what the **proportional** relationship would look like is: D. A **line** passes through the point (0, 0) and continues through the point (12, 3).

In Mathematics, a **graph** is used to graphically represent data points on both the horizontal and vertical **lines** of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a **graph** that represents a **proportional** relationship between two variables would always have a straight** line** with its data points passing through the origin (0, 0).

Since the **graph **represents a **proportional** relationship we have:

Constant of proportionality, k = 12/3 = 8/2 = 24/6 = 4

Ratio = 24:6 = 12:3.

Therefore, (0, 0) and (12, 3) are points on this **graph **that represents a **proportional** relationship.

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**Answer:d**

**Step-by-step explanation:trust**

1. Fiber-Brite could clean 48 rugs in 12 hours. At that rate, how many rugs could Fiber-Brite

clean in 20 hours?

80 rugs cleaned in 20 hours

Find the percentage decrease and round to the nearest tenth

**Answer:**

16.6%

**Step-by-step explanation:**

First, find the difference between the prices:

$3.95 - $3.45 = $0.50

Then, divide the difference by yesterday's price.

$0.50 ÷ $3.95

≈ 0.166

≈ 16.6%

**Answer:**

12.7%

**Step-by-step explanation:**

$3.95 - $3.45 = $.50

$.50 / $3.95 = .127 = 12.7%

Pierce meets all the requirements and qualifies for the Senior Head of Household Credit. His California adjusted gross income is $79,000 and his taxable income on line 19 of his Form 540 is $72,000. Therefore, his Senior Head of Household Credit for 2021 is what amount?
Express your answer in scientific notation. 5.4x10^5 + 6.7x10^4
a 2.50-mole quantity of nocl was initially in a 1.50-l reaction chamber at 400c. after equilibrium was established, it was found that 28.0 percent of the nocl had dissociated: 2nocl(g) 2no(g) 1 cl2(g)
graph this function f(x) = -7x - 64
Write the word sentence as an inequality. A number b multiplied by -5 is at most -30
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What is the meaning of this excerpt? puritans plant a rosebush near the prison to comfort criminals. The rosebush is more beautiful and fragile than anything else near the prison. The rosebush is natures offering to those who must enter or leave the prison. Puritans believe that criminals deserve a view of beauty from their cells.